TSTP Solution File: ITP301_1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n007.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 04:11:38 EDT 2023
% Result : Theorem 41.61s 6.21s
% Output : Proof 66.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 10:08:57 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.62 ________ _____
% 0.20/0.62 ___ __ \_________(_)________________________________
% 0.20/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.63
% 0.20/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.63 (2023-06-19)
% 0.20/0.63
% 0.20/0.63 (c) Philipp Rümmer, 2009-2023
% 0.20/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.63 Amanda Stjerna.
% 0.20/0.63 Free software under BSD-3-Clause.
% 0.20/0.63
% 0.20/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.63
% 0.20/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.64 Running up to 7 provers in parallel.
% 0.20/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 16.40/2.88 Prover 4: Preprocessing ...
% 16.99/2.93 Prover 3: Preprocessing ...
% 16.99/2.95 Prover 6: Preprocessing ...
% 17.38/2.98 Prover 5: Preprocessing ...
% 17.38/2.98 Prover 1: Preprocessing ...
% 17.38/3.01 Prover 0: Preprocessing ...
% 18.13/3.10 Prover 2: Preprocessing ...
% 39.11/5.80 Prover 1: Warning: ignoring some quantifiers
% 39.94/5.90 Prover 3: Warning: ignoring some quantifiers
% 40.58/6.01 Prover 3: Constructing countermodel ...
% 40.58/6.03 Prover 1: Constructing countermodel ...
% 40.58/6.05 Prover 6: Proving ...
% 41.61/6.20 Prover 3: proved (5557ms)
% 41.61/6.20
% 41.61/6.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 41.61/6.21
% 41.61/6.21 Prover 6: stopped
% 41.61/6.22 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 41.61/6.24 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 48.59/7.07 Prover 7: Preprocessing ...
% 49.75/7.20 Prover 8: Preprocessing ...
% 53.85/7.72 Prover 4: Warning: ignoring some quantifiers
% 56.21/8.05 Prover 4: Constructing countermodel ...
% 56.65/8.14 Prover 5: Proving ...
% 56.65/8.14 Prover 5: stopped
% 56.65/8.14 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 56.74/8.17 Prover 1: Found proof (size 70)
% 56.74/8.17 Prover 1: proved (7530ms)
% 58.55/8.31 Prover 8: Warning: ignoring some quantifiers
% 58.55/8.31 Prover 4: stopped
% 59.76/8.49 Prover 8: Constructing countermodel ...
% 60.09/8.50 Prover 8: stopped
% 61.31/8.73 Prover 10: Preprocessing ...
% 62.73/8.89 Prover 0: Proving ...
% 62.73/8.89 Prover 0: stopped
% 63.24/8.97 Prover 10: stopped
% 64.16/9.15 Prover 2: Proving ...
% 64.16/9.15 Prover 2: stopped
% 64.40/9.17 Prover 7: Warning: ignoring some quantifiers
% 64.90/9.38 Prover 7: Constructing countermodel ...
% 64.90/9.39 Prover 7: stopped
% 64.90/9.39
% 64.90/9.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 64.90/9.39
% 65.20/9.42 % SZS output start Proof for theBenchmark
% 65.56/9.46 Assumptions after simplification:
% 65.56/9.46 ---------------------------------
% 65.56/9.46
% 65.56/9.46 (axiom31)
% 65.86/9.50 A$(z$) & B$(f$) & A_b_b_c_LSCategory_ext_Category_ext$(c$) & ? [v0: B_a_fun$]
% 65.86/9.50 : (dom$(c$) = v0 & fun_app$q(v0, f$) = z$ & B_a_fun$(v0))
% 65.86/9.50
% 65.86/9.50 (axiom32)
% 65.86/9.50 A$(y$) & B$(f$) & A_b_b_c_LSCategory_ext_Category_ext$(c$) & ? [v0: B_a_fun$]
% 65.86/9.50 : (cod$(c$) = v0 & fun_app$q(v0, f$) = y$ & B_a_fun$(v0))
% 65.86/9.50
% 65.86/9.50 (axiom34)
% 65.86/9.50 A$(y$) & A$(x$) & A_b_b_c_LSCategory_ext_Category_ext$(c$) & ? [v0:
% 65.86/9.50 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v1: ZF$] :
% 65.86/9.50 (homFtor$(c$, x$) = v0 & mapO$(v0, y$) = v1 & homSet$(c$, x$, y$) = v1 &
% 65.86/9.50 ZF$(v1) & A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v0))
% 65.86/9.50
% 65.86/9.50 (axiom35)
% 65.86/9.50 A$(z$) & A$(x$) & A_b_b_c_LSCategory_ext_Category_ext$(c$) & ? [v0:
% 65.86/9.50 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v1: ZF$] :
% 65.86/9.51 (homFtor$(c$, x$) = v0 & mapO$(v0, z$) = v1 & homSet$(c$, x$, z$) = v1 &
% 65.86/9.51 ZF$(v1) & A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v0))
% 65.86/9.51
% 65.86/9.51 (axiom36)
% 65.86/9.51 A$(x$) & B$(f$) & A_b_b_c_LSCategory_ext_Category_ext$(c$) & ? [v0:
% 65.86/9.51 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v1: B_ZF_fun$] :
% 65.86/9.51 ? [v2: ZF$] : ? [v3: B_ZF_fun$] : (homFtorMap$(c$, x$) = v3 & homFtor$(c$,
% 65.86/9.51 x$) = v0 & mapM$(v0) = v1 & fun_app$n(v3, f$) = v2 & fun_app$n(v1, f$) =
% 65.86/9.51 v2 & B_ZF_fun$(v3) & B_ZF_fun$(v1) & ZF$(v2) &
% 65.86/9.51 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v0))
% 65.86/9.51
% 65.86/9.51 (axiom37)
% 65.86/9.51 ZF_ZF_unit_Category_ext$(set$) & A$(x$) & B$(f$) &
% 65.86/9.51 A_b_b_c_LSCategory_ext_Category_ext$(c$) & ? [v0: B_ZF_fun$] : ? [v1: ZF$] :
% 65.86/9.51 ? [v2: B_a_fun$] : ? [v3: A$] : ? [v4: ZF$] : ? [v5: ZF_bool_fun$] : ?
% 65.86/9.51 [v6: B_a_fun$] : ? [v7: A$] : ? [v8: ZF$] : (mapsTo$a(set$, v1, v4) = v5 &
% 65.86/9.51 homFtorMap$(c$, x$) = v0 & homSet$(c$, x$, v7) = v8 & homSet$(c$, x$, v3) =
% 65.86/9.51 v4 & cod$(c$) = v6 & dom$(c$) = v2 & fun_app$q(v6, f$) = v7 & fun_app$q(v2,
% 65.86/9.51 f$) = v3 & fun_app$n(v0, f$) = v1 & fun_app$b(v5, v8) = 0 & B_ZF_fun$(v0)
% 65.86/9.51 & ZF$(v8) & ZF$(v4) & ZF$(v1) & ZF_bool_fun$(v5) & A$(v7) & A$(v3) &
% 65.86/9.51 B_a_fun$(v6) & B_a_fun$(v2))
% 65.86/9.51
% 65.86/9.51 (axiom40)
% 65.86/9.51 A$(x$) & A_b_b_c_LSCategory_ext_Category_ext$(c$) & ? [v0:
% 65.86/9.51 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (preFunctor$(v0) = 0
% 65.86/9.51 & homFtor$(c$, x$) = v0 &
% 65.86/9.51 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v0))
% 65.86/9.51
% 65.86/9.51 (conjecture30)
% 65.86/9.52 ZF_ZF_unit_Category_ext$(set$) & A$(y$) & A$(z$) & A$(x$) & B$(f$) &
% 65.86/9.52 A_b_b_c_LSCategory_ext_Category_ext$(c$) & ? [v0:
% 65.86/9.52 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v1: B_ZF_fun$] :
% 65.86/9.52 ? [v2: ZF$] : ? [v3: ZF$] : ? [v4: ZF_bool_fun$] : ? [v5: ZF$] : ? [v6:
% 65.86/9.52 int] : ( ~ (v6 = 0) & mapsTo$a(set$, v2, v3) = v4 & homFtor$(c$, x$) = v0 &
% 65.86/9.52 mapO$(v0, y$) = v5 & mapO$(v0, z$) = v3 & mapM$(v0) = v1 & fun_app$n(v1, f$)
% 65.86/9.52 = v2 & fun_app$b(v4, v5) = v6 & B_ZF_fun$(v1) & ZF$(v5) & ZF$(v3) & ZF$(v2)
% 65.86/9.52 & ZF_bool_fun$(v4) &
% 65.86/9.52 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v0))
% 65.86/9.52
% 65.86/9.52 (function-axioms)
% 66.18/9.59 ! [v0: ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : !
% 66.18/9.59 [v2: Unit$] : ! [v3: ZF_ZF_ZF_fun_fun$] : ! [v4: ZF_ZF_fun$] : ! [v5:
% 66.18/9.59 ZF_ZF_fun$] : ! [v6: ZF_ZF_fun$] : ! [v7: ZF_set$] : ! [v8: ZF_set$] :
% 66.18/9.59 (v1 = v0 | ~ (category_ext$a(v8, v7, v6, v5, v4, v3, v2) = v1) | ~
% 66.18/9.59 (category_ext$a(v8, v7, v6, v5, v4, v3, v2) = v0)) & ! [v0:
% 66.18/9.59 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1:
% 66.18/9.59 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2: B_c_LSCategory_ext$] : !
% 66.18/9.59 [v3: B_b_b_fun_fun$] : ! [v4: A_b_fun$] : ! [v5: B_a_fun$] : ! [v6:
% 66.18/9.59 B_a_fun$] : ! [v7: B_set$] : ! [v8: A_set$] : (v1 = v0 | ~
% 66.18/9.59 (category_ext$(v8, v7, v6, v5, v4, v3, v2) = v1) | ~ (category_ext$(v8, v7,
% 66.18/9.59 v6, v5, v4, v3, v2) = v0)) & ! [v0:
% 66.18/9.59 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1:
% 66.18/9.59 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: Unit$] : !
% 66.18/9.59 [v3: B_ZF_fun$] : ! [v4: ZF_ZF_unit_Category_ext$] : ! [v5:
% 66.18/9.59 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (functor_ext$(v5, v4,
% 66.18/9.59 v3, v2) = v1) | ~ (functor_ext$(v5, v4, v3, v2) = v0)) & ! [v0:
% 66.18/9.59 ZF_set$] : ! [v1: ZF_set$] : ! [v2: A$] : ! [v3: A$] : ! [v4:
% 66.18/9.59 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (hOMCollection$(v4,
% 66.18/9.59 v3, v2) = v1) | ~ (hOMCollection$(v4, v3, v2) = v0)) & ! [v0:
% 66.18/9.59 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v1:
% 66.18/9.59 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v2: A$] : ! [v3:
% 66.18/9.59 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v4: ZF_ZF_unit_Category_ext$] :
% 66.18/9.59 (v1 = v0 | ~ (constFunctor$f(v4, v3, v2) = v1) | ~ (constFunctor$f(v4, v3,
% 66.18/9.59 v2) = v0)) & ! [v0: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v1:
% 66.18/9.59 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v2: ZF$] : ! [v3:
% 66.18/9.59 ZF_ZF_unit_Category_ext$] : ! [v4: ZF_ZF_unit_Category_ext$] : (v1 = v0 |
% 66.18/9.59 ~ (constFunctor$e(v4, v3, v2) = v1) | ~ (constFunctor$e(v4, v3, v2) = v0))
% 66.18/9.59 & ! [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1:
% 66.18/9.59 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: ZF$] : !
% 66.18/9.59 [v3: ZF_ZF_unit_Category_ext$] : ! [v4: A_b_b_c_LSCategory_ext_Category_ext$]
% 66.18/9.59 : (v1 = v0 | ~ (constFunctor$d(v4, v3, v2) = v1) | ~ (constFunctor$d(v4, v3,
% 66.18/9.59 v2) = v0)) & ! [v0:
% 66.18/9.59 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1:
% 66.18/9.59 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: ZF$] : !
% 66.18/9.59 [v3: ZF_ZF_unit_Category_ext$] : ! [v4: A_b_b_c_LSCategory_ext_Category_ext$]
% 66.18/9.59 : (v1 = v0 | ~ (constFunctor$c(v4, v3, v2) = v1) | ~ (constFunctor$c(v4, v3,
% 66.18/9.59 v2) = v0)) & ! [v0: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v1:
% 66.18/9.59 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v2: ZF$] : ! [v3:
% 66.18/9.59 ZF_ZF_unit_Category_ext$] : ! [v4: ZF_ZF_unit_Category_ext$] : (v1 = v0 |
% 66.18/9.59 ~ (constFunctor$b(v4, v3, v2) = v1) | ~ (constFunctor$b(v4, v3, v2) = v0))
% 66.18/9.59 & ! [v0: ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v1:
% 66.18/9.59 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v2: A$] : ! [v3:
% 66.18/9.59 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v4: ZF_ZF_unit_Category_ext$] :
% 66.18/9.59 (v1 = v0 | ~ (constFunctor$a(v4, v3, v2) = v1) | ~ (constFunctor$a(v4, v3,
% 66.18/9.59 v2) = v0)) & ! [v0:
% 66.18/9.59 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v1:
% 66.18/9.59 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v2:
% 66.18/9.59 A$] : ! [v3: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v4:
% 66.18/9.59 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (constFunctor$(v4, v3,
% 66.18/9.59 v2) = v1) | ~ (constFunctor$(v4, v3, v2) = v0)) & ! [v0:
% 66.18/9.59 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.59 ZF_ZF_unit_Category_ext$] : ! [v3: A_b_b_c_LSCategory_ext_Category_ext$] :
% 66.18/9.59 ! [v4: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.59 (functor_abbrev$c(v4, v3, v2) = v1) | ~ (functor_abbrev$c(v4, v3, v2) =
% 66.18/9.59 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.59 ZF_ZF_unit_Category_ext$] : ! [v3: ZF_ZF_unit_Category_ext$] : ! [v4:
% 66.18/9.59 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.59 (functor_abbrev$b(v4, v3, v2) = v1) | ~ (functor_abbrev$b(v4, v3, v2) =
% 66.18/9.59 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.59 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v3:
% 66.18/9.59 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v4:
% 66.18/9.59 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0
% 66.18/9.59 | ~ (functor_abbrev$a(v4, v3, v2) = v1) | ~ (functor_abbrev$a(v4, v3, v2)
% 66.18/9.59 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.59 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v3: ZF_ZF_unit_Category_ext$] :
% 66.18/9.59 ! [v4: ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.59 (functor_abbrev$(v4, v3, v2) = v1) | ~ (functor_abbrev$(v4, v3, v2) = v0))
% 66.18/9.59 & ! [v0: ZF_bool_fun$] : ! [v1: ZF_bool_fun$] : ! [v2: ZF$] : ! [v3: ZF$]
% 66.18/9.59 : ! [v4: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (mapsTo$a(v4, v3, v2) =
% 66.18/9.59 v1) | ~ (mapsTo$a(v4, v3, v2) = v0)) & ! [v0: ZF$] : ! [v1: ZF$] : !
% 66.18/9.59 [v2: A$] : ! [v3: A$] : ! [v4: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 =
% 66.18/9.59 v0 | ~ (homSet$(v4, v3, v2) = v1) | ~ (homSet$(v4, v3, v2) = v0)) & !
% 66.18/9.59 [v0: ZF_bool_fun$] : ! [v1: ZF_bool_fun$] : ! [v2: A$] : ! [v3: A$] : !
% 66.18/9.59 [v4: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (uuw$(v4, v3, v2) =
% 66.18/9.59 v1) | ~ (uuw$(v4, v3, v2) = v0)) & ! [v0: A_bool_fun$] : ! [v1:
% 66.18/9.59 A_bool_fun$] : ! [v2: A$] : ! [v3: B$] : ! [v4:
% 66.18/9.59 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (mapsTo$(v4, v3, v2) =
% 66.18/9.59 v1) | ~ (mapsTo$(v4, v3, v2) = v0)) & ! [v0: B$] : ! [v1: B$] : ! [v2:
% 66.18/9.59 B_b_prod$] : ! [v3: B_b_prod_set$] : ! [v4: B_b_prod_b_fun$] : (v1 = v0 |
% 66.18/9.59 ~ (restrict$a(v4, v3, v2) = v1) | ~ (restrict$a(v4, v3, v2) = v0)) & !
% 66.18/9.59 [v0: ZF$] : ! [v1: ZF$] : ! [v2: ZF_ZF_prod$] : ! [v3: ZF_ZF_prod_set$] :
% 66.18/9.59 ! [v4: ZF_ZF_prod_ZF_fun$] : (v1 = v0 | ~ (restrict$(v4, v3, v2) = v1) | ~
% 66.18/9.59 (restrict$(v4, v3, v2) = v0)) & ! [v0: ZF$] : ! [v1: ZF$] : ! [v2:
% 66.18/9.59 ZF_ZF_fun$] : ! [v3: ZF$] : ! [v4: ZF$] : (v1 = v0 | ~ (zFfun$(v4, v3,
% 66.18/9.59 v2) = v1) | ~ (zFfun$(v4, v3, v2) = v0)) & ! [v0: ZF$] : ! [v1: ZF$]
% 66.18/9.59 : ! [v2: ZF_ZF_fun$] : ! [v3: ZF$] : (v1 = v0 | ~ (repl$(v3, v2) = v1) | ~
% 66.18/9.59 (repl$(v3, v2) = v0)) & ! [v0: ZF$] : ! [v1: ZF$] : ! [v2: ZF_bool_fun$]
% 66.18/9.59 : ! [v3: ZF$] : (v1 = v0 | ~ (sep$(v3, v2) = v1) | ~ (sep$(v3, v2) = v0)) &
% 66.18/9.59 ! [v0: ZF$] : ! [v1: ZF$] : ! [v2: ZF_ZF_fun$] : ! [v3: ZF$] : (v1 = v0 |
% 66.18/9.59 ~ (lambda$(v3, v2) = v1) | ~ (lambda$(v3, v2) = v0)) & ! [v0: ZF_set$] :
% 66.18/9.59 ! [v1: ZF_set$] : ! [v2: ZF$] : ! [v3: ZF_ZF_prod_set$] : (v1 = v0 | ~
% 66.18/9.59 (ext$(v3, v2) = v1) | ~ (ext$(v3, v2) = v0)) & ! [v0: Nat_ZF_fun$] : !
% 66.18/9.59 [v1: Nat_ZF_fun$] : ! [v2: ZF$] : ! [v3: ZF_ZF_prod_set$] : (v1 = v0 | ~
% 66.18/9.59 (ext_ZF_n$(v3, v2) = v1) | ~ (ext_ZF_n$(v3, v2) = v0)) & ! [v0: ZF_set$] :
% 66.18/9.59 ! [v1: ZF_set$] : ! [v2: ZF$] : ! [v3: ZF_ZF_set_fun$] : (v1 = v0 | ~
% 66.18/9.59 (fun_app$ac(v3, v2) = v1) | ~ (fun_app$ac(v3, v2) = v0)) & ! [v0:
% 66.18/9.59 ZF_set_set$] : ! [v1: ZF_set_set$] : ! [v2: ZF_set$] : ! [v3:
% 66.18/9.59 ZF_ZF_set_fun$] : (v1 = v0 | ~ (image$(v3, v2) = v1) | ~ (image$(v3, v2) =
% 66.18/9.59 v0)) & ! [v0: ZF_ZF_unit_Category_ext$] : ! [v1:
% 66.18/9.59 ZF_ZF_unit_Category_ext$] : ! [v2: ZF_ZF_unit_Category_ext$] : ! [v3:
% 66.18/9.59 ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$] : (v1 = v0 | ~ (comp_update$(v3,
% 66.18/9.59 v2) = v1) | ~ (comp_update$(v3, v2) = v0)) & ! [v0: ZF_ZF_ZF_fun_fun$]
% 66.18/9.59 : ! [v1: ZF_ZF_ZF_fun_fun$] : ! [v2: ZF_ZF_ZF_fun_fun$] : ! [v3:
% 66.18/9.59 ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$] : (v1 = v0 | ~ (fun_app$ab(v3, v2)
% 66.18/9.59 = v1) | ~ (fun_app$ab(v3, v2) = v0)) & ! [v0:
% 66.18/9.59 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1:
% 66.18/9.59 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2:
% 66.18/9.59 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v3: B_a_fun_b_a_fun_fun$] : (v1
% 66.18/9.59 = v0 | ~ (cod_update$a(v3, v2) = v1) | ~ (cod_update$a(v3, v2) = v0)) & !
% 66.18/9.59 [v0: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1:
% 66.18/9.59 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2:
% 66.18/9.59 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v3: B_a_fun_b_a_fun_fun$] : (v1
% 66.18/9.59 = v0 | ~ (dom_update$a(v3, v2) = v1) | ~ (dom_update$a(v3, v2) = v0)) & !
% 66.18/9.59 [v0: B_a_fun$] : ! [v1: B_a_fun$] : ! [v2: B_a_fun$] : ! [v3:
% 66.18/9.59 B_a_fun_b_a_fun_fun$] : (v1 = v0 | ~ (fun_app$aa(v3, v2) = v1) | ~
% 66.18/9.59 (fun_app$aa(v3, v2) = v0)) & ! [v0: ZF_ZF_unit_Category_ext$] : ! [v1:
% 66.18/9.59 ZF_ZF_unit_Category_ext$] : ! [v2: ZF_ZF_unit_Category_ext$] : ! [v3:
% 66.18/9.59 ZF_ZF_fun_ZF_ZF_fun_fun$] : (v1 = v0 | ~ (id_update$(v3, v2) = v1) | ~
% 66.18/9.59 (id_update$(v3, v2) = v0)) & ! [v0: ZF_ZF_unit_Category_ext$] : ! [v1:
% 66.18/9.59 ZF_ZF_unit_Category_ext$] : ! [v2: ZF_ZF_unit_Category_ext$] : ! [v3:
% 66.18/9.59 ZF_ZF_fun_ZF_ZF_fun_fun$] : (v1 = v0 | ~ (cod_update$(v3, v2) = v1) | ~
% 66.18/9.59 (cod_update$(v3, v2) = v0)) & ! [v0: ZF_ZF_unit_Category_ext$] : ! [v1:
% 66.18/9.59 ZF_ZF_unit_Category_ext$] : ! [v2: ZF_ZF_unit_Category_ext$] : ! [v3:
% 66.18/9.59 ZF_ZF_fun_ZF_ZF_fun_fun$] : (v1 = v0 | ~ (dom_update$(v3, v2) = v1) | ~
% 66.18/9.59 (dom_update$(v3, v2) = v0)) & ! [v0: A_b_b_c_LSCategory_ext_Category_ext$]
% 66.18/9.59 : ! [v1: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2:
% 66.18/9.59 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v3: B_set_b_set_fun$] : (v1 = v0
% 66.18/9.59 | ~ (mor_update$a(v3, v2) = v1) | ~ (mor_update$a(v3, v2) = v0)) & ! [v0:
% 66.18/9.59 B_set$] : ! [v1: B_set$] : ! [v2: B_set$] : ! [v3: B_set_b_set_fun$] :
% 66.18/9.59 (v1 = v0 | ~ (fun_app$z(v3, v2) = v1) | ~ (fun_app$z(v3, v2) = v0)) & !
% 66.18/9.59 [v0: ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2:
% 66.18/9.59 ZF_ZF_unit_Category_ext$] : ! [v3: ZF_set_ZF_set_fun$] : (v1 = v0 | ~
% 66.18/9.59 (mor_update$(v3, v2) = v1) | ~ (mor_update$(v3, v2) = v0)) & ! [v0:
% 66.18/9.59 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1:
% 66.18/9.59 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2:
% 66.18/9.59 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v3: A_set_a_set_fun$] : (v1 = v0
% 66.18/9.59 | ~ (obj_update$a(v3, v2) = v1) | ~ (obj_update$a(v3, v2) = v0)) & ! [v0:
% 66.18/9.59 A_set$] : ! [v1: A_set$] : ! [v2: A_set$] : ! [v3: A_set_a_set_fun$] :
% 66.18/9.59 (v1 = v0 | ~ (fun_app$y(v3, v2) = v1) | ~ (fun_app$y(v3, v2) = v0)) & !
% 66.18/9.59 [v0: ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2:
% 66.18/9.59 ZF_ZF_unit_Category_ext$] : ! [v3: ZF_set_ZF_set_fun$] : (v1 = v0 | ~
% 66.18/9.59 (obj_update$(v3, v2) = v1) | ~ (obj_update$(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 ZF_set$] : ! [v1: ZF_set$] : ! [v2: ZF_set$] : ! [v3: ZF_set_ZF_set_fun$]
% 66.18/9.60 : (v1 = v0 | ~ (fun_app$x(v3, v2) = v1) | ~ (fun_app$x(v3, v2) = v0)) & !
% 66.18/9.60 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.60 ZF_ZF_prod_ZF_fun_set$] : ! [v3: ZF_ZF_prod_ZF_fun$] : (v1 = v0 | ~
% 66.18/9.60 (member$k(v3, v2) = v1) | ~ (member$k(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.60 B_b_prod_b_fun_set$] : ! [v3: B_b_prod_b_fun$] : (v1 = v0 | ~
% 66.18/9.60 (member$j(v3, v2) = v1) | ~ (member$j(v3, v2) = v0)) & ! [v0: ZF_ZF_fun$]
% 66.18/9.60 : ! [v1: ZF_ZF_fun$] : ! [v2: ZF_set$] : ! [v3: ZF_ZF_fun$] : (v1 = v0 | ~
% 66.18/9.60 (restrict$e(v3, v2) = v1) | ~ (restrict$e(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 B_a_fun$] : ! [v1: B_a_fun$] : ! [v2: B_set$] : ! [v3: B_a_fun$] : (v1 =
% 66.18/9.60 v0 | ~ (restrict$c(v3, v2) = v1) | ~ (restrict$c(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 A_b_fun$] : ! [v1: A_b_fun$] : ! [v2: A_set$] : ! [v3: A_b_fun$] : (v1 =
% 66.18/9.60 v0 | ~ (restrict$d(v3, v2) = v1) | ~ (restrict$d(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 ZF$] : ! [v1: ZF$] : ! [v2: Nat$] : ! [v3: Nat_ZF_fun$] : (v1 = v0 | ~
% 66.18/9.60 (fun_app$w(v3, v2) = v1) | ~ (fun_app$w(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2:
% 66.18/9.60 ZF_ZF_unit_Category_ext$] : ! [v3: Unit_unit_fun$] : (v1 = v0 | ~
% 66.18/9.60 (more_update$(v3, v2) = v1) | ~ (more_update$(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 Unit$] : ! [v1: Unit$] : ! [v2: Unit$] : ! [v3: Unit_unit_fun$] : (v1 =
% 66.18/9.60 v0 | ~ (fun_app$v(v3, v2) = v1) | ~ (fun_app$v(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 B_ZF_fun$] : ! [v1: B_ZF_fun$] : ! [v2: B_set$] : ! [v3: B_ZF_fun$] : (v1
% 66.18/9.60 = v0 | ~ (restrict$b(v3, v2) = v1) | ~ (restrict$b(v3, v2) = v0)) & !
% 66.18/9.60 [v0: A_bool_fun$] : ! [v1: A_bool_fun$] : ! [v2: A$] : ! [v3:
% 66.18/9.60 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (objIso$a(v3, v2) =
% 66.18/9.60 v1) | ~ (objIso$a(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v1:
% 66.18/9.60 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v2:
% 66.18/9.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v3:
% 66.18/9.60 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.60 (functorComp$c(v3, v2) = v1) | ~ (functorComp$c(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1:
% 66.18/9.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2:
% 66.18/9.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v3:
% 66.18/9.60 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0
% 66.18/9.60 | ~ (functorComp$b(v3, v2) = v1) | ~ (functorComp$b(v3, v2) = v0)) & !
% 66.18/9.60 [v0: A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : !
% 66.18/9.60 [v1: A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : !
% 66.18/9.60 [v2: ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v3:
% 66.18/9.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.60 (functorComp$a(v3, v2) = v1) | ~ (functorComp$a(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1:
% 66.18/9.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2:
% 66.18/9.60 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v3:
% 66.18/9.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.60 (functorComp$(v3, v2) = v1) | ~ (functorComp$(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 ZF_bool_fun$] : ! [v1: ZF_bool_fun$] : ! [v2: ZF$] : ! [v3:
% 66.18/9.60 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (objIso$(v3, v2) = v1) | ~
% 66.18/9.60 (objIso$(v3, v2) = v0)) & ! [v0: B_c_LSCategory_ext$] : ! [v1:
% 66.18/9.60 B_c_LSCategory_ext$] : ! [v2: C$] : ! [v3: B_ZF_fun$] : (v1 = v0 | ~
% 66.18/9.60 (lSCategory_ext$(v3, v2) = v1) | ~ (lSCategory_ext$(v3, v2) = v0)) & !
% 66.18/9.60 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.60 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v3:
% 66.18/9.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.60 (functor_comp_def$g(v3, v2) = v1) | ~ (functor_comp_def$g(v3, v2) = v0)) &
% 66.18/9.60 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.60 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v3:
% 66.18/9.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.60 (functor_comp_def$f(v3, v2) = v1) | ~ (functor_comp_def$f(v3, v2) = v0)) &
% 66.18/9.60 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v3:
% 66.18/9.60 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0
% 66.18/9.60 | ~ (functor_comp_def$e(v3, v2) = v1) | ~ (functor_comp_def$e(v3, v2) =
% 66.18/9.60 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v3:
% 66.18/9.60 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.60 (functor_comp_def$d(v3, v2) = v1) | ~ (functor_comp_def$d(v3, v2) = v0)) &
% 66.18/9.60 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.60 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v3:
% 66.18/9.60 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.60 (functor_comp_def$c(v3, v2) = v1) | ~ (functor_comp_def$c(v3, v2) = v0)) &
% 66.18/9.60 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.60 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v3:
% 66.18/9.60 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0
% 66.18/9.60 | ~ (functor_comp_def$b(v3, v2) = v1) | ~ (functor_comp_def$b(v3, v2) =
% 66.18/9.60 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.60 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v3:
% 66.18/9.60 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.60 (functor_comp_def$a(v3, v2) = v1) | ~ (functor_comp_def$a(v3, v2) = v0)) &
% 66.18/9.60 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.60 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v3:
% 66.18/9.60 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.60 (functor_comp_def$(v3, v2) = v1) | ~ (functor_comp_def$(v3, v2) = v0)) & !
% 66.18/9.60 [v0: ZF_bool_fun$] : ! [v1: ZF_bool_fun$] : ! [v2: ZF$] : ! [v3:
% 66.18/9.60 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (inverse_rel$a(v3, v2) = v1) | ~
% 66.18/9.60 (inverse_rel$a(v3, v2) = v0)) & ! [v0: B_bool_fun$] : ! [v1: B_bool_fun$]
% 66.18/9.60 : ! [v2: B$] : ! [v3: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~
% 66.18/9.60 (inverse_rel$(v3, v2) = v1) | ~ (inverse_rel$(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1:
% 66.18/9.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2:
% 66.18/9.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v3:
% 66.18/9.60 B_ZF_fun_b_ZF_fun_fun$] : (v1 = v0 | ~ (mapM_update$c(v3, v2) = v1) | ~
% 66.18/9.60 (mapM_update$c(v3, v2) = v0)) & ! [v0: B_ZF_fun$] : ! [v1: B_ZF_fun$] : !
% 66.18/9.60 [v2: B_ZF_fun$] : ! [v3: B_ZF_fun_b_ZF_fun_fun$] : (v1 = v0 | ~
% 66.18/9.60 (fun_app$u(v3, v2) = v1) | ~ (fun_app$u(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v1:
% 66.18/9.60 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v2:
% 66.18/9.60 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v3: ZF_ZF_fun_ZF_ZF_fun_fun$]
% 66.18/9.60 : (v1 = v0 | ~ (mapM_update$b(v3, v2) = v1) | ~ (mapM_update$b(v3, v2) =
% 66.18/9.60 v0)) & ! [v0: ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2: ZF_ZF_fun$] :
% 66.18/9.60 ! [v3: ZF_ZF_fun_ZF_ZF_fun_fun$] : (v1 = v0 | ~ (fun_app$t(v3, v2) = v1) | ~
% 66.18/9.60 (fun_app$t(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v1:
% 66.18/9.60 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v2:
% 66.18/9.60 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v3:
% 66.18/9.60 B_b_fun_b_b_fun_fun$] : (v1 = v0 | ~ (mapM_update$a(v3, v2) = v1) | ~
% 66.18/9.60 (mapM_update$a(v3, v2) = v0)) & ! [v0: B_b_fun$] : ! [v1: B_b_fun$] : !
% 66.18/9.60 [v2: B_b_fun$] : ! [v3: B_b_fun_b_b_fun_fun$] : (v1 = v0 | ~ (fun_app$s(v3,
% 66.18/9.60 v2) = v1) | ~ (fun_app$s(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v1:
% 66.18/9.60 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v2:
% 66.18/9.60 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v3:
% 66.18/9.60 ZF_b_fun_ZF_b_fun_fun$] : (v1 = v0 | ~ (mapM_update$(v3, v2) = v1) | ~
% 66.18/9.60 (mapM_update$(v3, v2) = v0)) & ! [v0: ZF_b_fun$] : ! [v1: ZF_b_fun$] : !
% 66.18/9.60 [v2: ZF_b_fun$] : ! [v3: ZF_b_fun_ZF_b_fun_fun$] : (v1 = v0 | ~
% 66.18/9.60 (fun_app$r(v3, v2) = v1) | ~ (fun_app$r(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1:
% 66.18/9.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: A$] : ! [v3:
% 66.18/9.60 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (homFtor$a(v3, v2) =
% 66.18/9.60 v1) | ~ (homFtor$a(v3, v2) = v0)) & ! [v0: A$] : ! [v1: A$] : ! [v2:
% 66.18/9.60 A$] : ! [v3:
% 66.18/9.60 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0
% 66.18/9.60 | ~ (mapO$b(v3, v2) = v1) | ~ (mapO$b(v3, v2) = v0)) & ! [v0: A$] : !
% 66.18/9.60 [v1: A$] : ! [v2: ZF$] : ! [v3:
% 66.18/9.60 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.60 (mapO$a(v3, v2) = v1) | ~ (mapO$a(v3, v2) = v0)) & ! [v0: B_ZF_fun$] : !
% 66.18/9.60 [v1: B_ZF_fun$] : ! [v2: A$] : ! [v3: A_b_b_c_LSCategory_ext_Category_ext$]
% 66.18/9.60 : (v1 = v0 | ~ (homFtorMap$(v3, v2) = v1) | ~ (homFtorMap$(v3, v2) = v0)) &
% 66.18/9.60 ! [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1:
% 66.18/9.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: A$] : ! [v3:
% 66.18/9.60 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (homFtor$(v3, v2) =
% 66.18/9.60 v1) | ~ (homFtor$(v3, v2) = v0)) & ! [v0: ZF$] : ! [v1: ZF$] : ! [v2:
% 66.18/9.60 A$] : ! [v3: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 =
% 66.18/9.60 v0 | ~ (mapO$(v3, v2) = v1) | ~ (mapO$(v3, v2) = v0)) & ! [v0: A$] : !
% 66.18/9.60 [v1: A$] : ! [v2: B$] : ! [v3: B_a_fun$] : (v1 = v0 | ~ (fun_app$q(v3, v2)
% 66.18/9.60 = v1) | ~ (fun_app$q(v3, v2) = v0)) & ! [v0: B$] : ! [v1: B$] : ! [v2:
% 66.18/9.60 ZF$] : ! [v3: ZF_b_fun$] : (v1 = v0 | ~ (fun_app$p(v3, v2) = v1) | ~
% 66.18/9.60 (fun_app$p(v3, v2) = v0)) & ! [v0: ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : !
% 66.18/9.60 [v2: B$] : ! [v3: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~
% 66.18/9.60 (uuj$(v3, v2) = v1) | ~ (uuj$(v3, v2) = v0)) & ! [v0: ZF_bool_fun$] : !
% 66.18/9.60 [v1: ZF_bool_fun$] : ! [v2: ZF$] : ! [v3: ZF$] : (v1 = v0 | ~ (uuz$(v3, v2)
% 66.18/9.60 = v1) | ~ (uuz$(v3, v2) = v0)) & ! [v0: B_bool_fun$] : ! [v1:
% 66.18/9.60 B_bool_fun$] : ! [v2: ZF$] : ! [v3: A_b_b_c_LSCategory_ext_Category_ext$]
% 66.18/9.60 : (v1 = v0 | ~ (uur$(v3, v2) = v1) | ~ (uur$(v3, v2) = v0)) & ! [v0: B$] :
% 66.18/9.60 ! [v1: B$] : ! [v2: A$] : ! [v3: A_b_fun$] : (v1 = v0 | ~ (fun_app$o(v3,
% 66.18/9.60 v2) = v1) | ~ (fun_app$o(v3, v2) = v0)) & ! [v0: ZF$] : ! [v1: ZF$] :
% 66.18/9.60 ! [v2: B$] : ! [v3: B_ZF_fun$] : (v1 = v0 | ~ (fun_app$n(v3, v2) = v1) | ~
% 66.18/9.60 (fun_app$n(v3, v2) = v0)) & ! [v0: ZF_bool_fun$] : ! [v1: ZF_bool_fun$] :
% 66.18/9.60 ! [v2: A$] : ! [v3: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] :
% 66.18/9.60 (v1 = v0 | ~ (uuq$(v3, v2) = v1) | ~ (uuq$(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 B_b_fun$] : ! [v1: B_b_fun$] : ! [v2: B$] : ! [v3: B_b_b_fun_fun$] : (v1
% 66.18/9.60 = v0 | ~ (fun_app$m(v3, v2) = v1) | ~ (fun_app$m(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 B$] : ! [v1: B$] : ! [v2: B$] : ! [v3: B_b_fun$] : (v1 = v0 | ~
% 66.18/9.60 (fun_app$l(v3, v2) = v1) | ~ (fun_app$l(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 ZF_bool_fun$] : ! [v1: ZF_bool_fun$] : ! [v2: ZF_bool_fun$] : ! [v3: ZF$]
% 66.18/9.60 : (v1 = v0 | ~ (uvb$(v3, v2) = v1) | ~ (uvb$(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2: ZF_bool_fun$] : ! [v3: ZF$] :
% 66.18/9.60 (v1 = v0 | ~ (uvc$(v3, v2) = v1) | ~ (uvc$(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 B_b_prod$] : ! [v1: B_b_prod$] : ! [v2: B$] : ! [v3: B$] : (v1 = v0 | ~
% 66.18/9.60 (pair$a(v3, v2) = v1) | ~ (pair$a(v3, v2) = v0)) & ! [v0: B_bool_fun$] :
% 66.18/9.60 ! [v1: B_bool_fun$] : ! [v2: B$] : ! [v3:
% 66.18/9.60 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (compDefined$a(v3, v2)
% 66.18/9.60 = v1) | ~ (compDefined$a(v3, v2) = v0)) & ! [v0: ZF_bool_fun$] : ! [v1:
% 66.18/9.60 ZF_bool_fun$] : ! [v2: ZF$] : ! [v3: ZF_ZF_unit_Category_ext$] : (v1 = v0
% 66.18/9.60 | ~ (compDefined$(v3, v2) = v1) | ~ (compDefined$(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2: ZF$] : ! [v3:
% 66.18/9.60 ZF_ZF_ZF_fun_fun$] : (v1 = v0 | ~ (fun_app$k(v3, v2) = v1) | ~
% 66.18/9.60 (fun_app$k(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 66.18/9.60 MultipleValueBool] : ! [v2: A$] : ! [v3: A_bool_fun$] : (v1 = v0 | ~
% 66.18/9.60 (fun_app$j(v3, v2) = v1) | ~ (fun_app$j(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: A_set$] : ! [v3:
% 66.18/9.60 A$] : (v1 = v0 | ~ (member$i(v3, v2) = v1) | ~ (member$i(v3, v2) = v0)) &
% 66.18/9.60 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: B$] : ! [v3:
% 66.18/9.60 B_bool_fun$] : (v1 = v0 | ~ (fun_app$i(v3, v2) = v1) | ~ (fun_app$i(v3,
% 66.18/9.60 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 66.18/9.60 ! [v2: B_set$] : ! [v3: B$] : (v1 = v0 | ~ (member$h(v3, v2) = v1) | ~
% 66.18/9.60 (member$h(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 66.18/9.60 MultipleValueBool] : ! [v2: A_b_fun$] : ! [v3: A_b_fun_bool_fun$] : (v1 =
% 66.18/9.60 v0 | ~ (fun_app$h(v3, v2) = v1) | ~ (fun_app$h(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: A_b_fun_set$] : !
% 66.18/9.60 [v3: A_b_fun$] : (v1 = v0 | ~ (member$g(v3, v2) = v1) | ~ (member$g(v3, v2)
% 66.18/9.60 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.60 B_a_fun$] : ! [v3: B_a_fun_bool_fun$] : (v1 = v0 | ~ (fun_app$g(v3, v2) =
% 66.18/9.60 v1) | ~ (fun_app$g(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 66.18/9.60 MultipleValueBool] : ! [v2: B_a_fun_set$] : ! [v3: B_a_fun$] : (v1 = v0 |
% 66.18/9.60 ~ (member$f(v3, v2) = v1) | ~ (member$f(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: B_ZF_fun$] : !
% 66.18/9.60 [v3: B_ZF_fun_bool_fun$] : (v1 = v0 | ~ (fun_app$f(v3, v2) = v1) | ~
% 66.18/9.60 (fun_app$f(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 66.18/9.60 MultipleValueBool] : ! [v2: B_ZF_fun_set$] : ! [v3: B_ZF_fun$] : (v1 = v0
% 66.18/9.60 | ~ (member$e(v3, v2) = v1) | ~ (member$e(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: ZF_ZF_fun$] : !
% 66.18/9.60 [v3: ZF_ZF_fun_bool_fun$] : (v1 = v0 | ~ (fun_app$e(v3, v2) = v1) | ~
% 66.18/9.60 (fun_app$e(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 66.18/9.60 MultipleValueBool] : ! [v2: ZF_ZF_fun_set$] : ! [v3: ZF_ZF_fun$] : (v1 =
% 66.18/9.60 v0 | ~ (member$d(v3, v2) = v1) | ~ (member$d(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: ZF_set_set$] : !
% 66.18/9.60 [v3: ZF_set$] : (v1 = v0 | ~ (member$c(v3, v2) = v1) | ~ (member$c(v3, v2) =
% 66.18/9.60 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.60 ZF_set$] : ! [v3: ZF_set_bool_fun$] : (v1 = v0 | ~ (fun_app$d(v3, v2) =
% 66.18/9.60 v1) | ~ (fun_app$d(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 66.18/9.60 MultipleValueBool] : ! [v2: B_b_prod$] : ! [v3: B_b_prod_bool_fun$] : (v1
% 66.18/9.60 = v0 | ~ (fun_app$c(v3, v2) = v1) | ~ (fun_app$c(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: B_b_prod_set$] :
% 66.18/9.60 ! [v3: B_b_prod$] : (v1 = v0 | ~ (member$a(v3, v2) = v1) | ~ (member$a(v3,
% 66.18/9.60 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 66.18/9.60 ! [v2: ZF_ZF_prod_set$] : ! [v3: ZF_ZF_prod$] : (v1 = v0 | ~ (member$(v3,
% 66.18/9.60 v2) = v1) | ~ (member$(v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 66.18/9.60 [v1: MultipleValueBool] : ! [v2: ZF_ZF_prod$] : ! [v3: ZF_ZF_prod_bool_fun$]
% 66.18/9.60 : (v1 = v0 | ~ (fun_app$a(v3, v2) = v1) | ~ (fun_app$a(v3, v2) = v0)) & !
% 66.18/9.60 [v0: ZF_ZF_prod$] : ! [v1: ZF_ZF_prod$] : ! [v2: ZF$] : ! [v3: ZF$] : (v1 =
% 66.18/9.60 v0 | ~ (pair$(v3, v2) = v1) | ~ (pair$(v3, v2) = v0)) & ! [v0:
% 66.18/9.60 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: ZF$] : ! [v3:
% 66.18/9.60 ZF_bool_fun$] : (v1 = v0 | ~ (fun_app$b(v3, v2) = v1) | ~ (fun_app$b(v3,
% 66.18/9.60 v2) = v0)) & ! [v0: ZF$] : ! [v1: ZF$] : ! [v2: ZF$] : ! [v3:
% 66.18/9.60 ZF_ZF_fun$] : (v1 = v0 | ~ (fun_app$(v3, v2) = v1) | ~ (fun_app$(v3, v2) =
% 66.18/9.60 v0)) & ! [v0: Nat$] : ! [v1: Nat$] : ! [v2: int] : (v1 = v0 | ~
% 66.18/9.60 (nat$a(v2) = v1) | ~ (nat$a(v2) = v0)) & ! [v0: ZF_bool_fun$] : ! [v1:
% 66.18/9.60 ZF_bool_fun$] : ! [v2: ZF$] : (v1 = v0 | ~ (subset$(v2) = v1) | ~
% 66.18/9.60 (subset$(v2) = v0)) & ! [v0: ZF_set_bool_fun$] : ! [v1: ZF_set_bool_fun$]
% 66.18/9.60 : ! [v2: ZF_set$] : (v1 = v0 | ~ (less_eq$(v2) = v1) | ~ (less_eq$(v2) =
% 66.18/9.60 v0)) & ! [v0: Nat$] : ! [v1: Nat$] : ! [v2: ZF$] : (v1 = v0 | ~
% 66.18/9.60 (nat2nat$(v2) = v1) | ~ (nat2nat$(v2) = v0)) & ! [v0: int] : ! [v1: int]
% 66.18/9.60 : ! [v2: Nat$] : (v1 = v0 | ~ (of_nat$(v2) = v1) | ~ (of_nat$(v2) = v0)) &
% 66.18/9.60 ! [v0: ZF_ZF_prod_set$] : ! [v1: ZF_ZF_prod_set$] : ! [v2: ZF_ZF_prod_set$]
% 66.18/9.60 : (v1 = v0 | ~ (trancl$(v2) = v1) | ~ (trancl$(v2) = v0)) & ! [v0:
% 66.18/9.60 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: ZF_ZF_prod_set$] :
% 66.18/9.60 (v1 = v0 | ~ (regular$(v2) = v1) | ~ (regular$(v2) = v0)) & ! [v0:
% 66.18/9.60 ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2: ZF_ZF_prod_set$] : (v1 = v0 | ~
% 66.18/9.60 (ext_ZF_hull$(v2) = v1) | ~ (ext_ZF_hull$(v2) = v0)) & ! [v0: ZF_ZF_fun$]
% 66.18/9.60 : ! [v1: ZF_ZF_fun$] : ! [v2: ZF_ZF_prod_set$] : (v1 = v0 | ~ (ext_ZF$(v2)
% 66.18/9.60 = v1) | ~ (ext_ZF$(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 66.18/9.60 MultipleValueBool] : ! [v2: ZF_ZF_prod_set$] : (v1 = v0 | ~ (set_like$(v2)
% 66.18/9.60 = v1) | ~ (set_like$(v2) = v0)) & ! [v0: ZF$] : ! [v1: ZF$] : ! [v2:
% 66.18/9.60 ZF_set$] : (v1 = v0 | ~ (implode$(v2) = v1) | ~ (implode$(v2) = v0)) & !
% 66.18/9.60 [v0: ZF_ZF_prod_ZF_fun_set$] : ! [v1: ZF_ZF_prod_ZF_fun_set$] : ! [v2:
% 66.18/9.60 ZF_ZF_prod_set$] : (v1 = v0 | ~ (extensional$e(v2) = v1) | ~
% 66.18/9.60 (extensional$e(v2) = v0)) & ! [v0: B_b_prod_b_fun_set$] : ! [v1:
% 66.18/9.60 B_b_prod_b_fun_set$] : ! [v2: B_b_prod_set$] : (v1 = v0 | ~
% 66.18/9.60 (extensional$d(v2) = v1) | ~ (extensional$d(v2) = v0)) & ! [v0: B$] : !
% 66.18/9.60 [v1: B$] : ! [v2: B_bool_fun$] : (v1 = v0 | ~ (the$a(v2) = v1) | ~
% 66.18/9.60 (the$a(v2) = v0)) & ! [v0: ZF$] : ! [v1: ZF$] : ! [v2: ZF_bool_fun$] :
% 66.18/9.60 (v1 = v0 | ~ (the$(v2) = v1) | ~ (the$(v2) = v0)) & ! [v0:
% 66.18/9.60 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2:
% 66.18/9.60 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (oppositeCategory$a(v2) = v1) | ~
% 66.18/9.60 (oppositeCategory$a(v2) = v0)) & ! [v0:
% 66.18/9.60 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1:
% 66.18/9.60 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2:
% 66.18/9.60 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (oppositeCategory$(v2)
% 66.18/9.60 = v1) | ~ (oppositeCategory$(v2) = v0)) & ! [v0:
% 66.18/9.60 ZF_ZF_fun_ZF_ZF_fun_fun$] : ! [v1: ZF_ZF_fun_ZF_ZF_fun_fun$] : ! [v2:
% 66.18/9.60 ZF_ZF_fun$] : (v1 = v0 | ~ (comp$b(v2) = v1) | ~ (comp$b(v2) = v0)) & !
% 66.18/9.60 [v0: ZF$] : ! [v1: ZF$] : ! [v2: Nat_ZF_fun$] : (v1 = v0 | ~ (seqSum$(v2) =
% 66.18/9.60 v1) | ~ (seqSum$(v2) = v0)) & ! [v0: B_a_fun_set$] : ! [v1:
% 66.18/9.60 B_a_fun_set$] : ! [v2: B_set$] : (v1 = v0 | ~ (extensional$c(v2) = v1) |
% 66.18/9.60 ~ (extensional$c(v2) = v0)) & ! [v0: ZF_ZF_fun_set$] : ! [v1:
% 66.18/9.60 ZF_ZF_fun_set$] : ! [v2: ZF_set$] : (v1 = v0 | ~ (extensional$b(v2) = v1)
% 66.18/9.60 | ~ (extensional$b(v2) = v0)) & ! [v0: A_b_fun_set$] : ! [v1:
% 66.18/9.60 A_b_fun_set$] : ! [v2: A_set$] : (v1 = v0 | ~ (extensional$a(v2) = v1) |
% 66.18/9.60 ~ (extensional$a(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 66.18/9.60 MultipleValueBool] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 =
% 66.18/9.60 v0 | ~ (extCategory$a(v2) = v1) | ~ (extCategory$a(v2) = v0)) & ! [v0:
% 66.18/9.60 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.60 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (extCategory$(v2) = v1) | ~
% 66.18/9.60 (extCategory$(v2) = v0)) & ! [v0: B_ZF_fun_set$] : ! [v1: B_ZF_fun_set$] :
% 66.18/9.60 ! [v2: B_set$] : (v1 = v0 | ~ (extensional$(v2) = v1) | ~ (extensional$(v2)
% 66.18/9.60 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.60 (functorExt$(v2) = v1) | ~ (functorExt$(v2) = v0)) & ! [v0: ZF_ZF_fun$] :
% 66.18/9.60 ! [v1: ZF_ZF_fun$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~
% 66.18/9.60 (inverse$a(v2) = v1) | ~ (inverse$a(v2) = v0)) & ! [v0: B_b_fun$] : !
% 66.18/9.60 [v1: B_b_fun$] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~
% 66.18/9.60 (inverse$(v2) = v1) | ~ (inverse$(v2) = v0)) & ! [v0:
% 66.18/9.60 ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$] : ! [v1:
% 66.18/9.60 ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$] : ! [v2:
% 66.18/9.60 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (unitFunctor$(v2) = v1) | ~
% 66.18/9.60 (unitFunctor$(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 66.18/9.60 MultipleValueBool] : ! [v2: ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$] :
% 66.18/9.60 (v1 = v0 | ~ (functor$c(v2) = v1) | ~ (functor$c(v2) = v0)) & ! [v0:
% 66.18/9.60 ZF_bool_fun$] : ! [v1: ZF_bool_fun$] : ! [v2: ZF_ZF_unit_Category_ext$] :
% 66.18/9.60 (v1 = v0 | ~ (isomorphism$a(v2) = v1) | ~ (isomorphism$a(v2) = v0)) & !
% 66.18/9.60 [v0: B_bool_fun$] : ! [v1: B_bool_fun$] : ! [v2:
% 66.18/9.60 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (isomorphism$(v2) =
% 66.18/9.60 v1) | ~ (isomorphism$(v2) = v0)) & ! [v0: Unit$] : ! [v1: Unit$] : !
% 66.18/9.60 [v2: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.60 (more$c(v2) = v1) | ~ (more$c(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 66.18/9.60 [v1: MultipleValueBool] : ! [v2:
% 66.18/9.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.60 (equivalence_axioms$(v2) = v1) | ~ (equivalence_axioms$(v2) = v0)) & !
% 66.18/9.60 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.60 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.60 (functor$b(v2) = v1) | ~ (functor$b(v2) = v0)) & ! [v0: MultipleValueBool]
% 66.18/9.60 : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.60 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ (functor$a(v2) =
% 66.18/9.60 v1) | ~ (functor$a(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 66.18/9.60 MultipleValueBool] : ! [v2:
% 66.18/9.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.60 (functor$(v2) = v1) | ~ (functor$(v2) = v0)) & ! [v0: MultipleValueBool] :
% 66.18/9.60 ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.60 (functorM_axioms$(v2) = v1) | ~ (functorM_axioms$(v2) = v0)) & ! [v0:
% 66.18/9.60 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.60 (equivalence$(v2) = v1) | ~ (equivalence$(v2) = v0)) & ! [v0:
% 66.18/9.60 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.60 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~
% 66.18/9.60 (lSCategory_axioms$(v2) = v1) | ~ (lSCategory_axioms$(v2) = v0)) & ! [v0:
% 66.18/9.60 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1:
% 66.18/9.60 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2:
% 66.18/9.60 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.60 (catCod$c(v2) = v1) | ~ (catCod$c(v2) = v0)) & ! [v0:
% 66.18/9.60 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1:
% 66.18/9.60 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2:
% 66.18/9.60 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0
% 66.18/9.60 | ~ (catCod$b(v2) = v1) | ~ (catCod$b(v2) = v0)) & ! [v0:
% 66.18/9.60 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2:
% 66.18/9.60 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ (catCod$a(v2) = v1)
% 66.18/9.60 | ~ (catCod$a(v2) = v0)) & ! [v0: Unit$] : ! [v1: Unit$] : ! [v2:
% 66.18/9.60 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (more$b(v2) = v1) | ~ (more$b(v2)
% 66.18/9.60 = v0)) & ! [v0: B_c_LSCategory_ext$] : ! [v1: B_c_LSCategory_ext$] : !
% 66.18/9.60 [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (more$a(v2) = v1) |
% 66.18/9.60 ~ (more$a(v2) = v0)) & ! [v0:
% 66.18/9.60 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v1:
% 66.18/9.60 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v2:
% 66.18/9.60 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (identityFunctor$c(v2)
% 66.18/9.60 = v1) | ~ (identityFunctor$c(v2) = v0)) & ! [v0:
% 66.18/9.60 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v1:
% 66.18/9.60 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v2: ZF_ZF_unit_Category_ext$]
% 66.18/9.60 : (v1 = v0 | ~ (identityFunctor$b(v2) = v1) | ~ (identityFunctor$b(v2) =
% 66.18/9.60 v0)) & ! [v0: C$] : ! [v1: C$] : ! [v2:
% 66.18/9.60 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (more$(v2) = v1) | ~
% 66.18/9.60 (more$(v2) = v0)) & ! [v0: ZF_ZF_unit_Category_ext$] : ! [v1:
% 66.18/9.60 ZF_ZF_unit_Category_ext$] : ! [v2:
% 66.18/9.60 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.60 (catDom$c(v2) = v1) | ~ (catDom$c(v2) = v0)) & ! [v0:
% 66.18/9.60 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1:
% 66.18/9.60 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2:
% 66.18/9.60 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0
% 66.18/9.60 | ~ (catDom$b(v2) = v1) | ~ (catDom$b(v2) = v0)) & ! [v0:
% 66.18/9.60 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v1:
% 66.18/9.60 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v2:
% 66.18/9.60 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0
% 66.18/9.60 | ~ (makeFtor$c(v2) = v1) | ~ (makeFtor$c(v2) = v0)) & ! [v0:
% 66.18/9.60 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2:
% 66.18/9.60 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ (catDom$a(v2) = v1)
% 66.18/9.60 | ~ (catDom$a(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 66.18/9.60 MultipleValueBool] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~
% 66.18/9.60 (category_axioms$a(v2) = v1) | ~ (category_axioms$a(v2) = v0)) & ! [v0:
% 66.18/9.60 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.60 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (category_axioms$(v2)
% 66.18/9.60 = v1) | ~ (category_axioms$(v2) = v0)) & ! [v0:
% 66.18/9.60 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v1:
% 66.18/9.60 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v2: ZF_ZF_unit_Category_ext$]
% 66.18/9.60 : (v1 = v0 | ~ (identityFunctor$a(v2) = v1) | ~ (identityFunctor$a(v2) =
% 66.18/9.60 v0)) & ! [v0:
% 66.18/9.60 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v1:
% 66.18/9.60 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v2:
% 66.18/9.60 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (identityFunctor$(v2)
% 66.18/9.60 = v1) | ~ (identityFunctor$(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 66.18/9.60 [v1: MultipleValueBool] : ! [v2: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] :
% 66.18/9.60 (v1 = v0 | ~ (functorM$c(v2) = v1) | ~ (functorM$c(v2) = v0)) & ! [v0:
% 66.18/9.60 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.60 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.60 (functorM$b(v2) = v1) | ~ (functorM$b(v2) = v0)) & ! [v0:
% 66.18/9.60 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.60 (functorM$a(v2) = v1) | ~ (functorM$a(v2) = v0)) & ! [v0:
% 66.18/9.60 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.60 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0
% 66.18/9.60 | ~ (functorM$(v2) = v1) | ~ (functorM$(v2) = v0)) & ! [v0: A_b_fun_set$]
% 66.18/9.60 : ! [v1: A_b_fun_set$] : ! [v2: A_b_fun_bool_fun$] : (v1 = v0 | ~
% 66.18/9.60 (collect$i(v2) = v1) | ~ (collect$i(v2) = v0)) & ! [v0: B_a_fun_set$] : !
% 66.18/9.60 [v1: B_a_fun_set$] : ! [v2: B_a_fun_bool_fun$] : (v1 = v0 | ~ (collect$h(v2)
% 66.18/9.60 = v1) | ~ (collect$h(v2) = v0)) & ! [v0: B_ZF_fun_set$] : ! [v1:
% 66.18/9.60 B_ZF_fun_set$] : ! [v2: B_ZF_fun_bool_fun$] : (v1 = v0 | ~ (collect$g(v2)
% 66.18/9.60 = v1) | ~ (collect$g(v2) = v0)) & ! [v0: ZF_ZF_fun_set$] : ! [v1:
% 66.18/9.60 ZF_ZF_fun_set$] : ! [v2: ZF_ZF_fun_bool_fun$] : (v1 = v0 | ~
% 66.18/9.60 (collect$f(v2) = v1) | ~ (collect$f(v2) = v0)) & ! [v0: ZF_set_set$] : !
% 66.18/9.60 [v1: ZF_set_set$] : ! [v2: ZF_set_bool_fun$] : (v1 = v0 | ~ (collect$e(v2) =
% 66.18/9.60 v1) | ~ (collect$e(v2) = v0)) & ! [v0: ZF_set$] : ! [v1: ZF_set$] : !
% 66.18/9.60 [v2: ZF_bool_fun$] : (v1 = v0 | ~ (collect$d(v2) = v1) | ~ (collect$d(v2) =
% 66.18/9.60 v0)) & ! [v0: B_set$] : ! [v1: B_set$] : ! [v2: B_bool_fun$] : (v1 = v0
% 66.18/9.60 | ~ (collect$c(v2) = v1) | ~ (collect$c(v2) = v0)) & ! [v0: A_set$] : !
% 66.18/9.60 [v1: A_set$] : ! [v2: A_bool_fun$] : (v1 = v0 | ~ (collect$b(v2) = v1) | ~
% 66.18/9.60 (collect$b(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 66.18/9.60 MultipleValueBool] : ! [v2:
% 66.18/9.60 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0
% 66.18/9.60 | ~ (preFunctor$c(v2) = v1) | ~ (preFunctor$c(v2) = v0)) & ! [v0:
% 66.18/9.60 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1:
% 66.18/9.60 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2:
% 66.18/9.60 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (makeCat$a(v2) = v1) |
% 66.18/9.60 ~ (makeCat$a(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 66.18/9.60 MultipleValueBool] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 =
% 66.18/9.60 v0 | ~ (category$a(v2) = v1) | ~ (category$a(v2) = v0)) & ! [v0: ZF_set$]
% 66.18/9.60 : ! [v1: ZF_set$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~
% 66.18/9.60 (mor$a(v2) = v1) | ~ (mor$a(v2) = v0)) & ! [v0: ZF_ZF_fun$] : ! [v1:
% 66.18/9.60 ZF_ZF_fun$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (dom$a(v2) =
% 66.18/9.60 v1) | ~ (dom$a(v2) = v0)) & ! [v0: ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] :
% 66.18/9.60 ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (cod$a(v2) = v1) | ~
% 66.18/9.60 (cod$a(v2) = v0)) & ! [v0:
% 66.18/9.61 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v1:
% 66.18/9.61 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v2:
% 66.18/9.61 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.61 (makeFtor$b(v2) = v1) | ~ (makeFtor$b(v2) = v0)) & ! [v0:
% 66.18/9.61 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.61 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.61 (preFunctor$b(v2) = v1) | ~ (preFunctor$b(v2) = v0)) & ! [v0:
% 66.18/9.61 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v1:
% 66.18/9.61 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v2:
% 66.18/9.61 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ (makeFtor$a(v2) =
% 66.18/9.61 v1) | ~ (makeFtor$a(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 66.18/9.61 MultipleValueBool] : ! [v2: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1
% 66.18/9.61 = v0 | ~ (preFunctor$a(v2) = v1) | ~ (preFunctor$a(v2) = v0)) & ! [v0:
% 66.18/9.61 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2:
% 66.18/9.61 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (makeCat$(v2) = v1) | ~
% 66.18/9.61 (makeCat$(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 66.18/9.61 MultipleValueBool] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~
% 66.18/9.61 (category$(v2) = v1) | ~ (category$(v2) = v0)) & ! [v0:
% 66.18/9.61 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1:
% 66.18/9.61 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2:
% 66.18/9.61 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.61 (makeFtor$(v2) = v1) | ~ (makeFtor$(v2) = v0)) & ! [v0: ZF_ZF_fun$] : !
% 66.18/9.61 [v1: ZF_ZF_fun$] : ! [v2: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0
% 66.18/9.61 | ~ (mapM$c(v2) = v1) | ~ (mapM$c(v2) = v0)) & ! [v0: ZF_ZF_fun$] : !
% 66.18/9.61 [v1: ZF_ZF_fun$] : ! [v2: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0
% 66.18/9.61 | ~ (mapO$c(v2) = v1) | ~ (mapO$c(v2) = v0)) & ! [v0: B_b_fun$] : ! [v1:
% 66.18/9.61 B_b_fun$] : ! [v2:
% 66.18/9.61 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0
% 66.18/9.61 | ~ (mapM$b(v2) = v1) | ~ (mapM$b(v2) = v0)) & ! [v0: ZF_b_fun$] : !
% 66.18/9.61 [v1: ZF_b_fun$] : ! [v2: ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$]
% 66.18/9.61 : (v1 = v0 | ~ (mapM$a(v2) = v1) | ~ (mapM$a(v2) = v0)) & ! [v0:
% 66.18/9.61 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 66.18/9.61 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.61 (preFunctor$(v2) = v1) | ~ (preFunctor$(v2) = v0)) & ! [v0: A_set$] : !
% 66.18/9.61 [v1: A_set$] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~
% 66.18/9.61 (obj$a(v2) = v1) | ~ (obj$a(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 66.18/9.61 [v1: MultipleValueBool] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1
% 66.18/9.61 = v0 | ~ (lSCategory$(v2) = v1) | ~ (lSCategory$(v2) = v0)) & ! [v0:
% 66.18/9.61 B_a_fun$] : ! [v1: B_a_fun$] : ! [v2:
% 66.18/9.61 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (cod$(v2) = v1) | ~
% 66.18/9.61 (cod$(v2) = v0)) & ! [v0: B_a_fun$] : ! [v1: B_a_fun$] : ! [v2:
% 66.18/9.61 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (dom$(v2) = v1) | ~
% 66.18/9.61 (dom$(v2) = v0)) & ! [v0: ZF_ZF_ZF_fun_fun$] : ! [v1: ZF_ZF_ZF_fun_fun$] :
% 66.18/9.61 ! [v2: ZF$] : (v1 = v0 | ~ (uuk$(v2) = v1) | ~ (uuk$(v2) = v0)) & ! [v0:
% 66.18/9.61 ZF_b_fun$] : ! [v1: ZF_b_fun$] : ! [v2:
% 66.18/9.61 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (zF2mor$(v2) = v1) |
% 66.18/9.61 ~ (zF2mor$(v2) = v0)) & ! [v0: B_set$] : ! [v1: B_set$] : ! [v2:
% 66.18/9.61 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (mor$(v2) = v1) | ~
% 66.18/9.61 (mor$(v2) = v0)) & ! [v0: B_ZF_fun$] : ! [v1: B_ZF_fun$] : ! [v2:
% 66.18/9.61 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (mor2ZF$(v2) = v1) |
% 66.18/9.61 ~ (mor2ZF$(v2) = v0)) & ! [v0: ZF_ZF_unit_Category_ext$] : ! [v1:
% 66.18/9.61 ZF_ZF_unit_Category_ext$] : ! [v2:
% 66.18/9.61 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.61 (catCod$(v2) = v1) | ~ (catCod$(v2) = v0)) & ! [v0: ZF_set$] : ! [v1:
% 66.18/9.61 ZF_set$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (obj$(v2) = v1)
% 66.18/9.61 | ~ (obj$(v2) = v0)) & ! [v0: B_ZF_fun$] : ! [v1: B_ZF_fun$] : ! [v2:
% 66.18/9.61 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.61 (mapM$(v2) = v1) | ~ (mapM$(v2) = v0)) & ! [v0:
% 66.18/9.61 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1:
% 66.18/9.61 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2:
% 66.18/9.61 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.61 (catDom$(v2) = v1) | ~ (catDom$(v2) = v0)) & ! [v0: A_b_fun$] : ! [v1:
% 66.18/9.61 A_b_fun$] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~
% 66.18/9.61 (id$(v2) = v1) | ~ (id$(v2) = v0)) & ! [v0: ZF_ZF_fun$] : ! [v1:
% 66.18/9.61 ZF_ZF_fun$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (id$a(v2) =
% 66.18/9.61 v1) | ~ (id$a(v2) = v0)) & ! [v0: B_b_b_fun_fun$] : ! [v1:
% 66.18/9.61 B_b_b_fun_fun$] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 |
% 66.18/9.61 ~ (uum$(v2) = v1) | ~ (uum$(v2) = v0)) & ! [v0: ZF_ZF_ZF_fun_fun$] : !
% 66.18/9.61 [v1: ZF_ZF_ZF_fun_fun$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~
% 66.18/9.61 (uun$(v2) = v1) | ~ (uun$(v2) = v0)) & ! [v0: B_b_b_fun_fun$] : ! [v1:
% 66.18/9.61 B_b_b_fun_fun$] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 |
% 66.18/9.61 ~ (comp$a(v2) = v1) | ~ (comp$a(v2) = v0)) & ! [v0: B_b_prod_b_fun$] : !
% 66.18/9.61 [v1: B_b_prod_b_fun$] : ! [v2: B_b_b_fun_fun$] : (v1 = v0 | ~
% 66.18/9.61 (case_prod$a(v2) = v1) | ~ (case_prod$a(v2) = v0)) & ! [v0: B_b_prod_set$]
% 66.18/9.61 : ! [v1: B_b_prod_set$] : ! [v2: B_b_prod_bool_fun$] : (v1 = v0 | ~
% 66.18/9.61 (collect$a(v2) = v1) | ~ (collect$a(v2) = v0)) & ! [v0: B_b_b_fun_fun$] :
% 66.18/9.61 ! [v1: B_b_b_fun_fun$] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 =
% 66.18/9.61 v0 | ~ (uut$(v2) = v1) | ~ (uut$(v2) = v0)) & ! [v0: ZF_ZF_ZF_fun_fun$] :
% 66.18/9.61 ! [v1: ZF_ZF_ZF_fun_fun$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~
% 66.18/9.61 (comp$(v2) = v1) | ~ (comp$(v2) = v0)) & ! [v0: ZF_ZF_prod_ZF_fun$] : !
% 66.18/9.61 [v1: ZF_ZF_prod_ZF_fun$] : ! [v2: ZF_ZF_ZF_fun_fun$] : (v1 = v0 | ~
% 66.18/9.61 (case_prod$(v2) = v1) | ~ (case_prod$(v2) = v0)) & ! [v0: ZF_ZF_prod_set$]
% 66.18/9.61 : ! [v1: ZF_ZF_prod_set$] : ! [v2: ZF_ZF_prod_bool_fun$] : (v1 = v0 | ~
% 66.18/9.61 (collect$(v2) = v1) | ~ (collect$(v2) = v0)) & ! [v0: ZF_ZF_ZF_fun_fun$] :
% 66.18/9.61 ! [v1: ZF_ZF_ZF_fun_fun$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~
% 66.18/9.61 (uuv$(v2) = v1) | ~ (uuv$(v2) = v0)) & ! [v0: ZF$] : ! [v1: ZF$] : !
% 66.18/9.61 [v2: ZF_bool_fun$] : (v1 = v0 | ~ (eps$(v2) = v1) | ~ (eps$(v2) = v0)) & !
% 66.18/9.61 [v0: B_b_prod_bool_fun$] : ! [v1: B_b_prod_bool_fun$] : ! [v2:
% 66.18/9.61 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (uus$(v2) = v1) | ~
% 66.18/9.61 (uus$(v2) = v0)) & ! [v0: ZF_ZF_prod_bool_fun$] : ! [v1:
% 66.18/9.61 ZF_ZF_prod_bool_fun$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~
% 66.18/9.61 (uuu$(v2) = v1) | ~ (uuu$(v2) = v0)) & ! [v0: ZF_bool_fun$] : ! [v1:
% 66.18/9.61 ZF_bool_fun$] : ! [v2: ZF$] : (v1 = v0 | ~ (uva$(v2) = v1) | ~ (uva$(v2)
% 66.18/9.61 = v0)) & ! [v0: ZF_bool_fun$] : ! [v1: ZF_bool_fun$] : ! [v2: ZF$] :
% 66.18/9.61 (v1 = v0 | ~ (uuy$(v2) = v1) | ~ (uuy$(v2) = v0)) & ! [v0: A_bool_fun$] :
% 66.18/9.61 ! [v1: A_bool_fun$] : ! [v2: A_set$] : (v1 = v0 | ~ (uu$(v2) = v1) | ~
% 66.18/9.61 (uu$(v2) = v0)) & ! [v0: B_bool_fun$] : ! [v1: B_bool_fun$] : ! [v2:
% 66.18/9.61 B_set$] : (v1 = v0 | ~ (uua$(v2) = v1) | ~ (uua$(v2) = v0)) & ! [v0:
% 66.18/9.61 A_b_fun_bool_fun$] : ! [v1: A_b_fun_bool_fun$] : ! [v2: A_b_fun_set$] :
% 66.18/9.61 (v1 = v0 | ~ (uuh$(v2) = v1) | ~ (uuh$(v2) = v0)) & ! [v0:
% 66.18/9.61 B_a_fun_bool_fun$] : ! [v1: B_a_fun_bool_fun$] : ! [v2: B_a_fun_set$] :
% 66.18/9.61 (v1 = v0 | ~ (uug$(v2) = v1) | ~ (uug$(v2) = v0)) & ! [v0:
% 66.18/9.61 B_ZF_fun_bool_fun$] : ! [v1: B_ZF_fun_bool_fun$] : ! [v2: B_ZF_fun_set$] :
% 66.18/9.61 (v1 = v0 | ~ (uuf$(v2) = v1) | ~ (uuf$(v2) = v0)) & ! [v0:
% 66.18/9.61 ZF_ZF_fun_bool_fun$] : ! [v1: ZF_ZF_fun_bool_fun$] : ! [v2:
% 66.18/9.61 ZF_ZF_fun_set$] : (v1 = v0 | ~ (uue$(v2) = v1) | ~ (uue$(v2) = v0)) & !
% 66.18/9.61 [v0: ZF_set_bool_fun$] : ! [v1: ZF_set_bool_fun$] : ! [v2: ZF_set_set$] :
% 66.18/9.61 (v1 = v0 | ~ (uuc$(v2) = v1) | ~ (uuc$(v2) = v0)) & ! [v0:
% 66.18/9.61 ZF_set_bool_fun$] : ! [v1: ZF_set_bool_fun$] : ! [v2: ZF$] : (v1 = v0 | ~
% 66.18/9.61 (member$b(v2) = v1) | ~ (member$b(v2) = v0)) & ! [v0: ZF_bool_fun$] : !
% 66.18/9.61 [v1: ZF_bool_fun$] : ! [v2: ZF_set$] : (v1 = v0 | ~ (uub$(v2) = v1) | ~
% 66.18/9.61 (uub$(v2) = v0)) & ! [v0: B_b_prod_bool_fun$] : ! [v1: B_b_prod_bool_fun$]
% 66.18/9.61 : ! [v2: B_b_prod_set$] : (v1 = v0 | ~ (uui$(v2) = v1) | ~ (uui$(v2) = v0))
% 66.18/9.61 & ! [v0: ZF_ZF_prod_bool_fun$] : ! [v1: ZF_ZF_prod_bool_fun$] : ! [v2:
% 66.18/9.61 ZF_ZF_prod_set$] : (v1 = v0 | ~ (uud$(v2) = v1) | ~ (uud$(v2) = v0)) & !
% 66.18/9.61 [v0: ZF_bool_fun$] : ! [v1: ZF_bool_fun$] : ! [v2: ZF$] : (v1 = v0 | ~
% 66.18/9.61 (elem$(v2) = v1) | ~ (elem$(v2) = v0))
% 66.18/9.61
% 66.18/9.61 Further assumptions not needed in the proof:
% 66.18/9.61 --------------------------------------------
% 66.18/9.61 axiom0, axiom1, axiom10, axiom100, axiom101, axiom102, axiom103, axiom104,
% 66.18/9.61 axiom105, axiom106, axiom107, axiom108, axiom109, axiom11, axiom110, axiom111,
% 66.18/9.61 axiom112, axiom113, axiom114, axiom115, axiom116, axiom117, axiom118, axiom119,
% 66.18/9.61 axiom12, axiom120, axiom121, axiom122, axiom123, axiom124, axiom125, axiom126,
% 66.18/9.61 axiom127, axiom128, axiom129, axiom13, axiom130, axiom131, axiom132, axiom133,
% 66.18/9.61 axiom134, axiom135, axiom136, axiom137, axiom138, axiom139, axiom14, axiom140,
% 66.18/9.61 axiom141, axiom142, axiom143, axiom144, axiom145, axiom146, axiom147, axiom148,
% 66.18/9.61 axiom149, axiom15, axiom150, axiom151, axiom152, axiom153, axiom154, axiom155,
% 66.18/9.61 axiom156, axiom157, axiom158, axiom159, axiom16, axiom160, axiom161, axiom162,
% 66.18/9.61 axiom163, axiom164, axiom165, axiom166, axiom167, axiom168, axiom169, axiom17,
% 66.18/9.61 axiom170, axiom171, axiom172, axiom173, axiom174, axiom175, axiom176, axiom177,
% 66.18/9.61 axiom178, axiom179, axiom18, axiom180, axiom181, axiom182, axiom183, axiom184,
% 66.18/9.61 axiom185, axiom186, axiom187, axiom188, axiom189, axiom19, axiom190, axiom191,
% 66.18/9.61 axiom192, axiom193, axiom194, axiom195, axiom196, axiom197, axiom198, axiom199,
% 66.18/9.61 axiom2, axiom20, axiom200, axiom201, axiom202, axiom203, axiom204, axiom205,
% 66.18/9.61 axiom206, axiom207, axiom208, axiom209, axiom21, axiom210, axiom211, axiom212,
% 66.18/9.61 axiom213, axiom214, axiom215, axiom216, axiom217, axiom218, axiom219, axiom22,
% 66.18/9.61 axiom220, axiom221, axiom222, axiom223, axiom224, axiom225, axiom226, axiom227,
% 66.18/9.61 axiom228, axiom229, axiom23, axiom230, axiom231, axiom232, axiom233, axiom234,
% 66.18/9.61 axiom235, axiom236, axiom237, axiom238, axiom239, axiom24, axiom240, axiom241,
% 66.18/9.61 axiom242, axiom243, axiom244, axiom245, axiom246, axiom247, axiom248, axiom249,
% 66.18/9.61 axiom25, axiom250, axiom251, axiom252, axiom253, axiom254, axiom255, axiom256,
% 66.18/9.61 axiom257, axiom258, axiom259, axiom26, axiom260, axiom261, axiom262, axiom263,
% 66.18/9.61 axiom264, axiom265, axiom266, axiom267, axiom268, axiom269, axiom27, axiom270,
% 66.18/9.61 axiom271, axiom272, axiom273, axiom274, axiom275, axiom276, axiom277, axiom278,
% 66.18/9.61 axiom279, axiom28, axiom280, axiom281, axiom282, axiom283, axiom284, axiom285,
% 66.18/9.61 axiom286, axiom287, axiom288, axiom289, axiom29, axiom290, axiom291, axiom292,
% 66.18/9.61 axiom293, axiom294, axiom295, axiom296, axiom297, axiom298, axiom299, axiom3,
% 66.18/9.61 axiom300, axiom301, axiom302, axiom303, axiom304, axiom305, axiom306, axiom307,
% 66.18/9.61 axiom308, axiom309, axiom310, axiom311, axiom312, axiom313, axiom314, axiom315,
% 66.18/9.61 axiom316, axiom317, axiom318, axiom319, axiom320, axiom321, axiom322, axiom323,
% 66.18/9.61 axiom324, axiom325, axiom326, axiom327, axiom328, axiom329, axiom33, axiom330,
% 66.18/9.61 axiom331, axiom332, axiom333, axiom334, axiom335, axiom336, axiom337, axiom338,
% 66.18/9.61 axiom339, axiom340, axiom341, axiom342, axiom343, axiom344, axiom345, axiom346,
% 66.18/9.61 axiom347, axiom348, axiom349, axiom350, axiom351, axiom352, axiom353, axiom354,
% 66.18/9.61 axiom355, axiom356, axiom357, axiom358, axiom359, axiom360, axiom361, axiom362,
% 66.18/9.61 axiom363, axiom364, axiom365, axiom366, axiom367, axiom368, axiom369, axiom370,
% 66.18/9.61 axiom371, axiom372, axiom373, axiom374, axiom375, axiom376, axiom377, axiom378,
% 66.18/9.61 axiom379, axiom38, axiom380, axiom381, axiom382, axiom383, axiom384, axiom385,
% 66.18/9.61 axiom386, axiom387, axiom388, axiom389, axiom39, axiom390, axiom391, axiom392,
% 66.18/9.61 axiom393, axiom394, axiom395, axiom396, axiom397, axiom398, axiom399, axiom4,
% 66.18/9.61 axiom400, axiom401, axiom402, axiom403, axiom404, axiom405, axiom406, axiom407,
% 66.18/9.61 axiom408, axiom409, axiom41, axiom410, axiom411, axiom412, axiom413, axiom414,
% 66.18/9.61 axiom415, axiom416, axiom417, axiom418, axiom419, axiom42, axiom420, axiom421,
% 66.18/9.61 axiom422, axiom423, axiom424, axiom425, axiom426, axiom427, axiom428, axiom429,
% 66.18/9.61 axiom43, axiom430, axiom431, axiom432, axiom433, axiom434, axiom435, axiom436,
% 66.18/9.61 axiom437, axiom438, axiom439, axiom44, axiom440, axiom441, axiom442, axiom443,
% 66.18/9.61 axiom444, axiom445, axiom446, axiom447, axiom448, axiom449, axiom45, axiom450,
% 66.18/9.61 axiom451, axiom452, axiom453, axiom454, axiom455, axiom456, axiom457, axiom458,
% 66.18/9.61 axiom459, axiom46, axiom460, axiom461, axiom462, axiom463, axiom464, axiom465,
% 66.18/9.61 axiom466, axiom467, axiom468, axiom469, axiom47, axiom470, axiom471, axiom472,
% 66.18/9.61 axiom473, axiom474, axiom475, axiom476, axiom477, axiom478, axiom479, axiom48,
% 66.18/9.61 axiom480, axiom481, axiom482, axiom483, axiom484, axiom485, axiom486, axiom487,
% 66.18/9.61 axiom488, axiom489, axiom49, axiom490, axiom491, axiom492, axiom493, axiom494,
% 66.18/9.61 axiom495, axiom496, axiom497, axiom498, axiom499, axiom5, axiom50, axiom500,
% 66.18/9.61 axiom501, axiom502, axiom503, axiom504, axiom505, axiom506, axiom507, axiom508,
% 66.18/9.61 axiom509, axiom51, axiom510, axiom511, axiom512, axiom513, axiom514, axiom515,
% 66.18/9.61 axiom516, axiom517, axiom518, axiom519, axiom52, axiom520, axiom521, axiom522,
% 66.18/9.61 axiom523, axiom524, axiom525, axiom526, axiom527, axiom528, axiom529, axiom53,
% 66.18/9.61 axiom530, axiom531, axiom532, axiom533, axiom534, axiom535, axiom536, axiom537,
% 66.18/9.61 axiom538, axiom539, axiom54, axiom540, axiom541, axiom542, axiom543, axiom544,
% 66.18/9.61 axiom545, axiom546, axiom547, axiom548, axiom549, axiom55, axiom550, axiom551,
% 66.18/9.61 axiom552, axiom553, axiom554, axiom555, axiom556, axiom56, axiom57, axiom58,
% 66.18/9.61 axiom59, axiom6, axiom60, axiom61, axiom62, axiom63, axiom64, axiom65, axiom66,
% 66.18/9.61 axiom67, axiom68, axiom69, axiom7, axiom70, axiom71, axiom72, axiom73, axiom74,
% 66.18/9.61 axiom75, axiom76, axiom77, axiom78, axiom79, axiom8, axiom80, axiom81, axiom82,
% 66.18/9.61 axiom83, axiom84, axiom85, axiom86, axiom87, axiom88, axiom89, axiom9, axiom90,
% 66.18/9.61 axiom91, axiom92, axiom93, axiom94, axiom95, axiom96, axiom97, axiom98, axiom99
% 66.18/9.61
% 66.18/9.61 Those formulas are unsatisfiable:
% 66.18/9.61 ---------------------------------
% 66.18/9.61
% 66.18/9.61 Begin of proof
% 66.18/9.61 |
% 66.18/9.61 | ALPHA: (axiom31) implies:
% 66.18/9.61 | (1) ? [v0: B_a_fun$] : (dom$(c$) = v0 & fun_app$q(v0, f$) = z$ &
% 66.18/9.61 | B_a_fun$(v0))
% 66.18/9.61 |
% 66.18/9.61 | ALPHA: (axiom32) implies:
% 66.18/9.61 | (2) ? [v0: B_a_fun$] : (cod$(c$) = v0 & fun_app$q(v0, f$) = y$ &
% 66.18/9.61 | B_a_fun$(v0))
% 66.18/9.61 |
% 66.18/9.61 | ALPHA: (axiom34) implies:
% 66.18/9.62 | (3) ? [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v1:
% 66.18/9.62 | ZF$] : (homFtor$(c$, x$) = v0 & mapO$(v0, y$) = v1 & homSet$(c$, x$,
% 66.18/9.62 | y$) = v1 & ZF$(v1) &
% 66.18/9.62 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v0))
% 66.18/9.62 |
% 66.18/9.62 | ALPHA: (axiom35) implies:
% 66.18/9.62 | (4) ? [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v1:
% 66.18/9.62 | ZF$] : (homFtor$(c$, x$) = v0 & mapO$(v0, z$) = v1 & homSet$(c$, x$,
% 66.18/9.62 | z$) = v1 & ZF$(v1) &
% 66.18/9.62 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v0))
% 66.18/9.62 |
% 66.18/9.62 | ALPHA: (axiom36) implies:
% 66.18/9.62 | (5) ? [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v1:
% 66.18/9.62 | B_ZF_fun$] : ? [v2: ZF$] : ? [v3: B_ZF_fun$] : (homFtorMap$(c$, x$)
% 66.18/9.62 | = v3 & homFtor$(c$, x$) = v0 & mapM$(v0) = v1 & fun_app$n(v3, f$) =
% 66.18/9.62 | v2 & fun_app$n(v1, f$) = v2 & B_ZF_fun$(v3) & B_ZF_fun$(v1) & ZF$(v2)
% 66.18/9.62 | & A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v0))
% 66.18/9.62 |
% 66.18/9.62 | ALPHA: (axiom37) implies:
% 66.18/9.62 | (6) ? [v0: B_ZF_fun$] : ? [v1: ZF$] : ? [v2: B_a_fun$] : ? [v3: A$] :
% 66.18/9.62 | ? [v4: ZF$] : ? [v5: ZF_bool_fun$] : ? [v6: B_a_fun$] : ? [v7: A$] :
% 66.18/9.62 | ? [v8: ZF$] : (mapsTo$a(set$, v1, v4) = v5 & homFtorMap$(c$, x$) = v0
% 66.18/9.62 | & homSet$(c$, x$, v7) = v8 & homSet$(c$, x$, v3) = v4 & cod$(c$) = v6
% 66.18/9.62 | & dom$(c$) = v2 & fun_app$q(v6, f$) = v7 & fun_app$q(v2, f$) = v3 &
% 66.18/9.62 | fun_app$n(v0, f$) = v1 & fun_app$b(v5, v8) = 0 & B_ZF_fun$(v0) &
% 66.18/9.62 | ZF$(v8) & ZF$(v4) & ZF$(v1) & ZF_bool_fun$(v5) & A$(v7) & A$(v3) &
% 66.18/9.62 | B_a_fun$(v6) & B_a_fun$(v2))
% 66.18/9.62 |
% 66.18/9.62 | ALPHA: (axiom40) implies:
% 66.18/9.62 | (7) ? [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] :
% 66.18/9.62 | (preFunctor$(v0) = 0 & homFtor$(c$, x$) = v0 &
% 66.18/9.62 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v0))
% 66.18/9.62 |
% 66.18/9.62 | ALPHA: (conjecture30) implies:
% 66.18/9.62 | (8) ? [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v1:
% 66.18/9.62 | B_ZF_fun$] : ? [v2: ZF$] : ? [v3: ZF$] : ? [v4: ZF_bool_fun$] : ?
% 66.18/9.62 | [v5: ZF$] : ? [v6: int] : ( ~ (v6 = 0) & mapsTo$a(set$, v2, v3) = v4 &
% 66.18/9.62 | homFtor$(c$, x$) = v0 & mapO$(v0, y$) = v5 & mapO$(v0, z$) = v3 &
% 66.18/9.62 | mapM$(v0) = v1 & fun_app$n(v1, f$) = v2 & fun_app$b(v4, v5) = v6 &
% 66.18/9.62 | B_ZF_fun$(v1) & ZF$(v5) & ZF$(v3) & ZF$(v2) & ZF_bool_fun$(v4) &
% 66.18/9.62 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v0))
% 66.18/9.62 |
% 66.18/9.62 | ALPHA: (function-axioms) implies:
% 66.18/9.62 | (9) ! [v0: B_ZF_fun$] : ! [v1: B_ZF_fun$] : ! [v2:
% 66.18/9.62 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.62 | (mapM$(v2) = v1) | ~ (mapM$(v2) = v0))
% 66.18/9.62 | (10) ! [v0: B_a_fun$] : ! [v1: B_a_fun$] : ! [v2:
% 66.18/9.62 | A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (dom$(v2) =
% 66.18/9.62 | v1) | ~ (dom$(v2) = v0))
% 66.18/9.62 | (11) ! [v0: B_a_fun$] : ! [v1: B_a_fun$] : ! [v2:
% 66.18/9.62 | A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (cod$(v2) =
% 66.18/9.62 | v1) | ~ (cod$(v2) = v0))
% 66.18/9.62 | (12) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: ZF$]
% 66.18/9.62 | : ! [v3: ZF_bool_fun$] : (v1 = v0 | ~ (fun_app$b(v3, v2) = v1) | ~
% 66.18/9.62 | (fun_app$b(v3, v2) = v0))
% 66.18/9.62 | (13) ! [v0: ZF$] : ! [v1: ZF$] : ! [v2: B$] : ! [v3: B_ZF_fun$] : (v1 =
% 66.18/9.62 | v0 | ~ (fun_app$n(v3, v2) = v1) | ~ (fun_app$n(v3, v2) = v0))
% 66.18/9.62 | (14) ! [v0: A$] : ! [v1: A$] : ! [v2: B$] : ! [v3: B_a_fun$] : (v1 = v0
% 66.18/9.62 | | ~ (fun_app$q(v3, v2) = v1) | ~ (fun_app$q(v3, v2) = v0))
% 66.18/9.62 | (15) ! [v0: ZF$] : ! [v1: ZF$] : ! [v2: A$] : ! [v3:
% 66.18/9.62 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 66.18/9.62 | (mapO$(v3, v2) = v1) | ~ (mapO$(v3, v2) = v0))
% 66.18/9.63 | (16) ! [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1:
% 66.18/9.63 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: A$] :
% 66.18/9.63 | ! [v3: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~
% 66.18/9.63 | (homFtor$(v3, v2) = v1) | ~ (homFtor$(v3, v2) = v0))
% 66.18/9.63 | (17) ! [v0: B_ZF_fun$] : ! [v1: B_ZF_fun$] : ! [v2: A$] : ! [v3:
% 66.18/9.63 | A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~
% 66.18/9.63 | (homFtorMap$(v3, v2) = v1) | ~ (homFtorMap$(v3, v2) = v0))
% 66.18/9.63 | (18) ! [v0: ZF$] : ! [v1: ZF$] : ! [v2: A$] : ! [v3: A$] : ! [v4:
% 66.18/9.63 | A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (homSet$(v4,
% 66.18/9.63 | v3, v2) = v1) | ~ (homSet$(v4, v3, v2) = v0))
% 66.18/9.63 | (19) ! [v0: ZF_bool_fun$] : ! [v1: ZF_bool_fun$] : ! [v2: ZF$] : ! [v3:
% 66.18/9.63 | ZF$] : ! [v4: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~
% 66.18/9.63 | (mapsTo$a(v4, v3, v2) = v1) | ~ (mapsTo$a(v4, v3, v2) = v0))
% 66.18/9.63 |
% 66.18/9.63 | DELTA: instantiating (7) with fresh symbol all_610_0 gives:
% 66.18/9.63 | (20) preFunctor$(all_610_0) = 0 & homFtor$(c$, x$) = all_610_0 &
% 66.18/9.63 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_610_0)
% 66.18/9.63 |
% 66.18/9.63 | ALPHA: (20) implies:
% 66.18/9.63 | (21) homFtor$(c$, x$) = all_610_0
% 66.18/9.63 |
% 66.18/9.63 | DELTA: instantiating (2) with fresh symbol all_616_0 gives:
% 66.18/9.63 | (22) cod$(c$) = all_616_0 & fun_app$q(all_616_0, f$) = y$ &
% 66.18/9.63 | B_a_fun$(all_616_0)
% 66.18/9.63 |
% 66.18/9.63 | ALPHA: (22) implies:
% 66.18/9.63 | (23) fun_app$q(all_616_0, f$) = y$
% 66.18/9.63 | (24) cod$(c$) = all_616_0
% 66.18/9.63 |
% 66.18/9.63 | DELTA: instantiating (1) with fresh symbol all_618_0 gives:
% 66.18/9.63 | (25) dom$(c$) = all_618_0 & fun_app$q(all_618_0, f$) = z$ &
% 66.18/9.63 | B_a_fun$(all_618_0)
% 66.18/9.63 |
% 66.18/9.63 | ALPHA: (25) implies:
% 66.18/9.63 | (26) fun_app$q(all_618_0, f$) = z$
% 66.18/9.63 | (27) dom$(c$) = all_618_0
% 66.18/9.63 |
% 66.18/9.63 | DELTA: instantiating (4) with fresh symbols all_624_0, all_624_1 gives:
% 66.18/9.63 | (28) homFtor$(c$, x$) = all_624_1 & mapO$(all_624_1, z$) = all_624_0 &
% 66.18/9.63 | homSet$(c$, x$, z$) = all_624_0 & ZF$(all_624_0) &
% 66.18/9.63 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_624_1)
% 66.18/9.63 |
% 66.18/9.63 | ALPHA: (28) implies:
% 66.18/9.63 | (29) homSet$(c$, x$, z$) = all_624_0
% 66.18/9.63 | (30) mapO$(all_624_1, z$) = all_624_0
% 66.18/9.63 | (31) homFtor$(c$, x$) = all_624_1
% 66.18/9.63 |
% 66.18/9.63 | DELTA: instantiating (3) with fresh symbols all_628_0, all_628_1 gives:
% 66.18/9.63 | (32) homFtor$(c$, x$) = all_628_1 & mapO$(all_628_1, y$) = all_628_0 &
% 66.18/9.63 | homSet$(c$, x$, y$) = all_628_0 & ZF$(all_628_0) &
% 66.18/9.63 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_628_1)
% 66.18/9.63 |
% 66.18/9.63 | ALPHA: (32) implies:
% 66.18/9.63 | (33) homSet$(c$, x$, y$) = all_628_0
% 66.18/9.63 | (34) mapO$(all_628_1, y$) = all_628_0
% 66.18/9.63 | (35) homFtor$(c$, x$) = all_628_1
% 66.18/9.63 |
% 66.18/9.63 | DELTA: instantiating (5) with fresh symbols all_640_0, all_640_1, all_640_2,
% 66.18/9.63 | all_640_3 gives:
% 66.18/9.63 | (36) homFtorMap$(c$, x$) = all_640_0 & homFtor$(c$, x$) = all_640_3 &
% 66.18/9.63 | mapM$(all_640_3) = all_640_2 & fun_app$n(all_640_0, f$) = all_640_1 &
% 66.18/9.63 | fun_app$n(all_640_2, f$) = all_640_1 & B_ZF_fun$(all_640_0) &
% 66.18/9.63 | B_ZF_fun$(all_640_2) & ZF$(all_640_1) &
% 66.18/9.63 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_640_3)
% 66.18/9.63 |
% 66.18/9.63 | ALPHA: (36) implies:
% 66.18/9.63 | (37) fun_app$n(all_640_2, f$) = all_640_1
% 66.18/9.63 | (38) fun_app$n(all_640_0, f$) = all_640_1
% 66.18/9.63 | (39) mapM$(all_640_3) = all_640_2
% 66.18/9.63 | (40) homFtor$(c$, x$) = all_640_3
% 66.18/9.63 | (41) homFtorMap$(c$, x$) = all_640_0
% 66.18/9.63 |
% 66.18/9.63 | DELTA: instantiating (8) with fresh symbols all_657_0, all_657_1, all_657_2,
% 66.18/9.63 | all_657_3, all_657_4, all_657_5, all_657_6 gives:
% 66.18/9.63 | (42) ~ (all_657_0 = 0) & mapsTo$a(set$, all_657_4, all_657_3) = all_657_2
% 66.18/9.63 | & homFtor$(c$, x$) = all_657_6 & mapO$(all_657_6, y$) = all_657_1 &
% 66.18/9.63 | mapO$(all_657_6, z$) = all_657_3 & mapM$(all_657_6) = all_657_5 &
% 66.18/9.63 | fun_app$n(all_657_5, f$) = all_657_4 & fun_app$b(all_657_2, all_657_1)
% 66.18/9.63 | = all_657_0 & B_ZF_fun$(all_657_5) & ZF$(all_657_1) & ZF$(all_657_3) &
% 66.18/9.63 | ZF$(all_657_4) & ZF_bool_fun$(all_657_2) &
% 66.18/9.63 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_657_6)
% 66.18/9.63 |
% 66.18/9.63 | ALPHA: (42) implies:
% 66.18/9.63 | (43) ~ (all_657_0 = 0)
% 66.18/9.63 | (44) fun_app$b(all_657_2, all_657_1) = all_657_0
% 66.18/9.63 | (45) fun_app$n(all_657_5, f$) = all_657_4
% 66.18/9.63 | (46) mapM$(all_657_6) = all_657_5
% 66.18/9.63 | (47) mapO$(all_657_6, z$) = all_657_3
% 66.18/9.63 | (48) mapO$(all_657_6, y$) = all_657_1
% 66.18/9.63 | (49) homFtor$(c$, x$) = all_657_6
% 66.18/9.63 | (50) mapsTo$a(set$, all_657_4, all_657_3) = all_657_2
% 66.18/9.63 |
% 66.18/9.63 | DELTA: instantiating (6) with fresh symbols all_727_0, all_727_1, all_727_2,
% 66.18/9.63 | all_727_3, all_727_4, all_727_5, all_727_6, all_727_7, all_727_8 gives:
% 66.18/9.64 | (51) mapsTo$a(set$, all_727_7, all_727_4) = all_727_3 & homFtorMap$(c$, x$)
% 66.18/9.64 | = all_727_8 & homSet$(c$, x$, all_727_1) = all_727_0 & homSet$(c$, x$,
% 66.18/9.64 | all_727_5) = all_727_4 & cod$(c$) = all_727_2 & dom$(c$) = all_727_6
% 66.18/9.64 | & fun_app$q(all_727_2, f$) = all_727_1 & fun_app$q(all_727_6, f$) =
% 66.18/9.64 | all_727_5 & fun_app$n(all_727_8, f$) = all_727_7 &
% 66.18/9.64 | fun_app$b(all_727_3, all_727_0) = 0 & B_ZF_fun$(all_727_8) &
% 66.18/9.64 | ZF$(all_727_0) & ZF$(all_727_4) & ZF$(all_727_7) &
% 66.18/9.64 | ZF_bool_fun$(all_727_3) & A$(all_727_1) & A$(all_727_5) &
% 66.18/9.64 | B_a_fun$(all_727_2) & B_a_fun$(all_727_6)
% 66.18/9.64 |
% 66.18/9.64 | ALPHA: (51) implies:
% 66.18/9.64 | (52) fun_app$b(all_727_3, all_727_0) = 0
% 66.18/9.64 | (53) fun_app$n(all_727_8, f$) = all_727_7
% 66.18/9.64 | (54) fun_app$q(all_727_6, f$) = all_727_5
% 66.18/9.64 | (55) fun_app$q(all_727_2, f$) = all_727_1
% 66.18/9.64 | (56) dom$(c$) = all_727_6
% 66.18/9.64 | (57) cod$(c$) = all_727_2
% 66.18/9.64 | (58) homSet$(c$, x$, all_727_5) = all_727_4
% 66.18/9.64 | (59) homSet$(c$, x$, all_727_1) = all_727_0
% 66.18/9.64 | (60) homFtorMap$(c$, x$) = all_727_8
% 66.18/9.64 | (61) mapsTo$a(set$, all_727_7, all_727_4) = all_727_3
% 66.18/9.64 |
% 66.18/9.64 | GROUND_INST: instantiating (10) with all_618_0, all_727_6, c$, simplifying
% 66.18/9.64 | with (27), (56) gives:
% 66.18/9.64 | (62) all_727_6 = all_618_0
% 66.18/9.64 |
% 66.18/9.64 | GROUND_INST: instantiating (11) with all_616_0, all_727_2, c$, simplifying
% 66.18/9.64 | with (24), (57) gives:
% 66.18/9.64 | (63) all_727_2 = all_616_0
% 66.18/9.64 |
% 66.18/9.64 | GROUND_INST: instantiating (16) with all_624_1, all_628_1, x$, c$, simplifying
% 66.18/9.64 | with (31), (35) gives:
% 66.18/9.64 | (64) all_628_1 = all_624_1
% 66.18/9.64 |
% 66.18/9.64 | GROUND_INST: instantiating (16) with all_628_1, all_640_3, x$, c$, simplifying
% 66.18/9.64 | with (35), (40) gives:
% 66.18/9.64 | (65) all_640_3 = all_628_1
% 66.18/9.64 |
% 66.18/9.64 | GROUND_INST: instantiating (16) with all_640_3, all_657_6, x$, c$, simplifying
% 66.18/9.64 | with (40), (49) gives:
% 66.18/9.64 | (66) all_657_6 = all_640_3
% 66.18/9.64 |
% 66.18/9.64 | GROUND_INST: instantiating (16) with all_610_0, all_657_6, x$, c$, simplifying
% 66.18/9.64 | with (21), (49) gives:
% 66.18/9.64 | (67) all_657_6 = all_610_0
% 66.18/9.64 |
% 66.18/9.64 | GROUND_INST: instantiating (17) with all_640_0, all_727_8, x$, c$, simplifying
% 66.18/9.64 | with (41), (60) gives:
% 66.18/9.64 | (68) all_727_8 = all_640_0
% 66.18/9.64 |
% 66.18/9.64 | COMBINE_EQS: (66), (67) imply:
% 66.18/9.64 | (69) all_640_3 = all_610_0
% 66.18/9.64 |
% 66.18/9.64 | SIMP: (69) implies:
% 66.18/9.64 | (70) all_640_3 = all_610_0
% 66.18/9.64 |
% 66.18/9.64 | COMBINE_EQS: (65), (70) imply:
% 66.18/9.64 | (71) all_628_1 = all_610_0
% 66.18/9.64 |
% 66.18/9.64 | SIMP: (71) implies:
% 66.18/9.64 | (72) all_628_1 = all_610_0
% 66.18/9.64 |
% 66.18/9.64 | COMBINE_EQS: (64), (72) imply:
% 66.18/9.64 | (73) all_624_1 = all_610_0
% 66.18/9.64 |
% 66.18/9.64 | SIMP: (73) implies:
% 66.18/9.64 | (74) all_624_1 = all_610_0
% 66.18/9.64 |
% 66.18/9.64 | REDUCE: (48), (67) imply:
% 66.18/9.64 | (75) mapO$(all_610_0, y$) = all_657_1
% 66.18/9.64 |
% 66.18/9.64 | REDUCE: (47), (67) imply:
% 66.18/9.64 | (76) mapO$(all_610_0, z$) = all_657_3
% 66.18/9.64 |
% 66.18/9.64 | REDUCE: (34), (72) imply:
% 66.18/9.64 | (77) mapO$(all_610_0, y$) = all_628_0
% 66.18/9.64 |
% 66.18/9.64 | REDUCE: (30), (74) imply:
% 66.18/9.64 | (78) mapO$(all_610_0, z$) = all_624_0
% 66.18/9.64 |
% 66.18/9.64 | REDUCE: (55), (63) imply:
% 66.18/9.64 | (79) fun_app$q(all_616_0, f$) = all_727_1
% 66.18/9.64 |
% 66.18/9.64 | REDUCE: (54), (62) imply:
% 66.18/9.64 | (80) fun_app$q(all_618_0, f$) = all_727_5
% 66.18/9.64 |
% 66.18/9.64 | REDUCE: (46), (67) imply:
% 66.18/9.64 | (81) mapM$(all_610_0) = all_657_5
% 66.18/9.64 |
% 66.18/9.64 | REDUCE: (39), (70) imply:
% 66.18/9.64 | (82) mapM$(all_610_0) = all_640_2
% 66.18/9.64 |
% 66.18/9.64 | REDUCE: (53), (68) imply:
% 66.18/9.64 | (83) fun_app$n(all_640_0, f$) = all_727_7
% 66.18/9.64 |
% 66.18/9.64 | GROUND_INST: instantiating (13) with all_640_1, all_727_7, f$, all_640_0,
% 66.18/9.64 | simplifying with (38), (83) gives:
% 66.18/9.64 | (84) all_727_7 = all_640_1
% 66.18/9.64 |
% 66.18/9.64 | GROUND_INST: instantiating (9) with all_640_2, all_657_5, all_610_0,
% 66.18/9.64 | simplifying with (81), (82) gives:
% 66.18/9.64 | (85) all_657_5 = all_640_2
% 66.18/9.64 |
% 66.18/9.64 | GROUND_INST: instantiating (14) with y$, all_727_1, f$, all_616_0, simplifying
% 66.18/9.64 | with (23), (79) gives:
% 66.18/9.64 | (86) all_727_1 = y$
% 66.18/9.64 |
% 66.18/9.64 | GROUND_INST: instantiating (14) with z$, all_727_5, f$, all_618_0, simplifying
% 66.18/9.64 | with (26), (80) gives:
% 66.18/9.64 | (87) all_727_5 = z$
% 66.18/9.64 |
% 66.18/9.64 | GROUND_INST: instantiating (15) with all_624_0, all_657_3, z$, all_610_0,
% 66.18/9.64 | simplifying with (76), (78) gives:
% 66.18/9.64 | (88) all_657_3 = all_624_0
% 66.18/9.64 |
% 66.18/9.64 | GROUND_INST: instantiating (15) with all_628_0, all_657_1, y$, all_610_0,
% 66.18/9.64 | simplifying with (75), (77) gives:
% 66.18/9.64 | (89) all_657_1 = all_628_0
% 66.18/9.64 |
% 66.18/9.64 | REDUCE: (61), (84) imply:
% 66.18/9.64 | (90) mapsTo$a(set$, all_640_1, all_727_4) = all_727_3
% 66.18/9.64 |
% 66.18/9.64 | REDUCE: (50), (88) imply:
% 66.18/9.64 | (91) mapsTo$a(set$, all_657_4, all_624_0) = all_657_2
% 66.18/9.64 |
% 66.18/9.64 | REDUCE: (59), (86) imply:
% 66.18/9.64 | (92) homSet$(c$, x$, y$) = all_727_0
% 66.18/9.64 |
% 66.18/9.64 | REDUCE: (58), (87) imply:
% 66.18/9.65 | (93) homSet$(c$, x$, z$) = all_727_4
% 66.18/9.65 |
% 66.18/9.65 | REDUCE: (45), (85) imply:
% 66.18/9.65 | (94) fun_app$n(all_640_2, f$) = all_657_4
% 66.18/9.65 |
% 66.18/9.65 | REDUCE: (44), (89) imply:
% 66.18/9.65 | (95) fun_app$b(all_657_2, all_628_0) = all_657_0
% 66.18/9.65 |
% 66.18/9.65 | GROUND_INST: instantiating (13) with all_640_1, all_657_4, f$, all_640_2,
% 66.18/9.65 | simplifying with (37), (94) gives:
% 66.18/9.65 | (96) all_657_4 = all_640_1
% 66.18/9.65 |
% 66.18/9.65 | GROUND_INST: instantiating (18) with all_624_0, all_727_4, z$, x$, c$,
% 66.18/9.65 | simplifying with (29), (93) gives:
% 66.18/9.65 | (97) all_727_4 = all_624_0
% 66.18/9.65 |
% 66.18/9.65 | GROUND_INST: instantiating (18) with all_628_0, all_727_0, y$, x$, c$,
% 66.18/9.65 | simplifying with (33), (92) gives:
% 66.18/9.65 | (98) all_727_0 = all_628_0
% 66.18/9.65 |
% 66.18/9.65 | REDUCE: (91), (96) imply:
% 66.18/9.65 | (99) mapsTo$a(set$, all_640_1, all_624_0) = all_657_2
% 66.18/9.65 |
% 66.18/9.65 | REDUCE: (90), (97) imply:
% 66.18/9.65 | (100) mapsTo$a(set$, all_640_1, all_624_0) = all_727_3
% 66.18/9.65 |
% 66.18/9.65 | REDUCE: (52), (98) imply:
% 66.18/9.65 | (101) fun_app$b(all_727_3, all_628_0) = 0
% 66.18/9.65 |
% 66.18/9.65 | GROUND_INST: instantiating (19) with all_657_2, all_727_3, all_624_0,
% 66.18/9.65 | all_640_1, set$, simplifying with (99), (100) gives:
% 66.18/9.65 | (102) all_727_3 = all_657_2
% 66.18/9.65 |
% 66.18/9.65 | REDUCE: (101), (102) imply:
% 66.18/9.65 | (103) fun_app$b(all_657_2, all_628_0) = 0
% 66.18/9.65 |
% 66.18/9.65 | GROUND_INST: instantiating (12) with all_657_0, 0, all_628_0, all_657_2,
% 66.18/9.65 | simplifying with (95), (103) gives:
% 66.18/9.65 | (104) all_657_0 = 0
% 66.18/9.65 |
% 66.18/9.65 | REDUCE: (43), (104) imply:
% 66.18/9.65 | (105) $false
% 66.18/9.65 |
% 66.18/9.65 | CLOSE: (105) is inconsistent.
% 66.18/9.65 |
% 66.18/9.65 End of proof
% 66.18/9.65 % SZS output end Proof for theBenchmark
% 66.18/9.65
% 66.18/9.65 9023ms
%------------------------------------------------------------------------------