TSTP Solution File: SCT105+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SCT105+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n002.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 : Tue Aug 22 10:55:14 EDT 2023
% Result : Theorem 32.66s 14.56s
% Output : CNFRefutation 33.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 180
% Syntax : Number of formulae : 553 ( 230 unt; 178 typ; 0 def)
% Number of atoms : 610 ( 115 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 507 ( 272 ~; 227 |; 4 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 546 ( 159 >; 387 *; 0 +; 0 <<)
% Number of predicates : 37 ( 35 usr; 1 prp; 0-6 aty)
% Number of functors : 143 ( 143 usr; 19 con; 0-8 aty)
% Number of variables : 118 (; 118 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Recdef_Owfrec__rel > c_Nitpick_Ofold__graph_H > c_member > c_Relation_Ototal__on > c_Relation_Osingle__valued > c_Relation_Orefl__on > c_Orderings_Oord__class_Oless__eq > c_Orderings_Oord__class_Oless > c_Order__Relation_Owell__order__on > c_Order__Relation_Ostrict__linear__order__on > c_Order__Relation_Opreorder__on > c_Order__Relation_Opartial__order__on > c_Order__Relation_Olinear__order__on > c_Equiv__Relations_Oequiv > c_Wellfounded_OwfP > c_Wellfounded_Owf > c_Wellfounded_Oacyclic > c_Relation_Otrans > c_Relation_Oirrefl > c_Relation_Oantisym > c_Nitpick_Orefl_H > c_FunDef_Oreduction__pair > hBOOL > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Oord > class_Orderings_Olinorder > class_Orderings_Obot > class_Lattices_Osemilattice__sup > class_Lattices_Olattice > class_Lattices_Obounded__lattice__bot > class_Lattices_Obounded__lattice > class_Groups_Oordered__ab__group__add > class_Groups_Ominus > class_Groups_Oab__group__add > c_Product__Type_Ocurry > c_Relation_Orel__comp > c_Recdef_Ocut > c_Product__Type_Oprod_Oprod__rec > c_Product__Type_Ointernal__split > c_Nitpick_Owf__wfrec_H > c_Wellfounded_Olex__prod > c_Relation_OImage > c_Recdef_Owfrec > c_Recdef_Osame__fst > c_Product__Type_OPair > c_Nitpick_Owf__wfrec > c_FunDef_Orp__inv__image > c_Wellfounded_Omlex__prod > c_Set_Oinsert > c_Relation_Oinv__image > c_Relation_ORange > c_Relation_ODomain > c_Lattices_Osemilattice__sup__class_Osup > c_Groups_Ominus__class_Ominus > c_FunDef_Oin__rel > tc_prod > tc_fun > hAPP > c_Wellfounded_Omin__ext > c_Wellfounded_Omax__ext > c_Wellfounded_Oacc > c_Transitive__Closure_Otrancl > c_Transitive__Closure_Ortrancl > c_Set_Othe__elem > c_Relation_OId__on > c_Relation_OField > #nlpp > c_fequal > c_Wellfounded_Omeasure > c_Relation_OId > c_Orderings_Obot__class_Obot > v_L > tc_Nat_Onat > tc_HOL_Obool > tc_Arrow__Order__Mirabelle_Oalt > c_Wellfounded_Opred__nat > c_Wellfounded_Oless__than > c_FunDef_Opair__less > c_FunDef_Opair__leq > c_FunDef_Omin__weak > c_FunDef_Omin__strict > c_FunDef_Omax__weak > c_FunDef_Omax__strict > c_Arrow__Order__Mirabelle_OLin > #skF_13 > #skF_32 > #skF_24 > #skF_56 > #skF_11 > #skF_73 > #skF_17 > #skF_31 > #skF_21 > #skF_33 > #skF_57 > #skF_85 > #skF_63 > #skF_70 > #skF_50 > #skF_94 > #skF_61 > #skF_6 > #skF_53 > #skF_37 > #skF_84 > #skF_49 > #skF_86 > #skF_36 > #skF_72 > #skF_48 > #skF_25 > #skF_27 > #skF_18 > #skF_82 > #skF_47 > #skF_19 > #skF_44 > #skF_60 > #skF_65 > #skF_46 > #skF_3 > #skF_45 > #skF_29 > #skF_51 > #skF_39 > #skF_15 > #skF_92 > #skF_34 > #skF_52 > #skF_74 > #skF_12 > #skF_30 > #skF_78 > #skF_23 > #skF_38 > #skF_87 > #skF_69 > #skF_54 > #skF_64 > #skF_16 > #skF_10 > #skF_42 > #skF_66 > #skF_76 > #skF_59 > #skF_22 > #skF_89 > #skF_71 > #skF_7 > #skF_20 > #skF_90 > #skF_41 > #skF_26 > #skF_67 > #skF_14 > #skF_40 > #skF_81 > #skF_88 > #skF_58 > #skF_55 > #skF_93 > #skF_43 > #skF_62 > #skF_80 > #skF_2 > #skF_77 > #skF_8 > #skF_75 > #skF_68 > #skF_1 > #skF_83 > #skF_35 > #skF_9 > #skF_91 > #skF_5 > #skF_28 > #skF_4 > #skF_79
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_Product__Type_Oprod_Oprod__rec,type,
c_Product__Type_Oprod_Oprod__rec: ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i ) > $i ).
tff(c_Set_Oinsert,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i * $i ) > $i ).
tff(c_Orderings_Oord__class_Oless__eq,type,
c_Orderings_Oord__class_Oless__eq: ( $i * $i * $i ) > $o ).
tff(c_Relation_Oirrefl,type,
c_Relation_Oirrefl: ( $i * $i ) > $o ).
tff(class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $i > $o ).
tff('#skF_24',type,
'#skF_24': ( $i * $i * $i ) > $i ).
tff(c_Transitive__Closure_Ortrancl,type,
c_Transitive__Closure_Ortrancl: ( $i * $i ) > $i ).
tff('#skF_56',type,
'#skF_56': ( $i * $i * $i * $i ) > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(c_Relation_Oantisym,type,
c_Relation_Oantisym: ( $i * $i ) > $o ).
tff(c_FunDef_Opair__leq,type,
c_FunDef_Opair__leq: $i ).
tff(c_Order__Relation_Opreorder__on,type,
c_Order__Relation_Opreorder__on: ( $i * $i * $i ) > $o ).
tff(c_Recdef_Owfrec__rel,type,
c_Recdef_Owfrec__rel: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff('#skF_73',type,
'#skF_73': ( $i * $i ) > $i ).
tff(class_Lattices_Obounded__lattice__bot,type,
class_Lattices_Obounded__lattice__bot: $i > $o ).
tff(tc_HOL_Obool,type,
tc_HOL_Obool: $i ).
tff(c_FunDef_Oreduction__pair,type,
c_FunDef_Oreduction__pair: ( $i * $i ) > $o ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i ) > $i ).
tff('#skF_31',type,
'#skF_31': ( $i * $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_33',type,
'#skF_33': ( $i * $i * $i ) > $i ).
tff(c_fequal,type,
c_fequal: $i > $i ).
tff(c_member,type,
c_member: ( $i * $i * $i ) > $o ).
tff('#skF_57',type,
'#skF_57': ( $i * $i ) > $i ).
tff('#skF_85',type,
'#skF_85': ( $i * $i * $i * $i ) > $i ).
tff(c_FunDef_Omax__weak,type,
c_FunDef_Omax__weak: $i ).
tff(tc_Nat_Onat,type,
tc_Nat_Onat: $i ).
tff('#skF_63',type,
'#skF_63': ( $i * $i * $i * $i ) > $i ).
tff('#skF_70',type,
'#skF_70': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_50',type,
'#skF_50': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_94',type,
'#skF_94': $i ).
tff('#skF_61',type,
'#skF_61': ( $i * $i * $i * $i ) > $i ).
tff(c_Relation_Otrans,type,
c_Relation_Otrans: ( $i * $i ) > $o ).
tff(c_Lattices_Osemilattice__sup__class_Osup,type,
c_Lattices_Osemilattice__sup__class_Osup: ( $i * $i * $i ) > $i ).
tff(c_FunDef_Omin__strict,type,
c_FunDef_Omin__strict: $i ).
tff(c_Product__Type_OPair,type,
c_Product__Type_OPair: ( $i * $i * $i * $i ) > $i ).
tff(c_Recdef_Ocut,type,
c_Recdef_Ocut: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Wellfounded_Omlex__prod,type,
c_Wellfounded_Omlex__prod: ( $i * $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(class_Lattices_Obounded__lattice,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(c_Relation_Osingle__valued,type,
c_Relation_Osingle__valued: ( $i * $i * $i ) > $o ).
tff(class_Lattices_Olattice,type,
class_Lattices_Olattice: $i > $o ).
tff('#skF_53',type,
'#skF_53': ( $i * $i ) > $i ).
tff(c_Wellfounded_Oacc,type,
c_Wellfounded_Oacc: ( $i * $i ) > $i ).
tff(class_Groups_Oordered__ab__group__add,type,
class_Groups_Oordered__ab__group__add: $i > $o ).
tff('#skF_37',type,
'#skF_37': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_84',type,
'#skF_84': ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Relation_Ototal__on,type,
c_Relation_Ototal__on: ( $i * $i * $i ) > $o ).
tff('#skF_49',type,
'#skF_49': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_86',type,
'#skF_86': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_36',type,
'#skF_36': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(c_Relation_Oinv__image,type,
c_Relation_Oinv__image: ( $i * $i * $i ) > $i ).
tff('#skF_72',type,
'#skF_72': ( $i * $i ) > $i ).
tff('#skF_48',type,
'#skF_48': ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Set_Othe__elem,type,
c_Set_Othe__elem: ( $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(class_Orderings_Oorder,type,
class_Orderings_Oorder: $i > $o ).
tff(class_Orderings_Opreorder,type,
class_Orderings_Opreorder: $i > $o ).
tff('#skF_27',type,
'#skF_27': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(c_Relation_ORange,type,
c_Relation_ORange: ( $i * $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i * $i ) > $i ).
tff('#skF_82',type,
'#skF_82': ( $i * $i ) > $i ).
tff(c_Nitpick_Owf__wfrec_H,type,
c_Nitpick_Owf__wfrec_H: ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_47',type,
'#skF_47': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i * $i ) > $i ).
tff('#skF_44',type,
'#skF_44': ( $i * $i * $i * $i ) > $i ).
tff('#skF_60',type,
'#skF_60': ( $i * $i * $i * $i ) > $i ).
tff('#skF_65',type,
'#skF_65': ( $i * $i ) > $i ).
tff('#skF_46',type,
'#skF_46': ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Orderings_Obot__class_Obot,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff('#skF_45',type,
'#skF_45': ( $i * $i * $i * $i ) > $i ).
tff(c_Order__Relation_Olinear__order__on,type,
c_Order__Relation_Olinear__order__on: ( $i * $i * $i ) > $o ).
tff(tc_prod,type,
tc_prod: ( $i * $i ) > $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i * $i ) > $i ).
tff(c_FunDef_Opair__less,type,
c_FunDef_Opair__less: $i ).
tff(c_Order__Relation_Opartial__order__on,type,
c_Order__Relation_Opartial__order__on: ( $i * $i * $i ) > $o ).
tff('#skF_51',type,
'#skF_51': ( $i * $i * $i * $i ) > $i ).
tff('#skF_39',type,
'#skF_39': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i * $i ) > $i ).
tff('#skF_92',type,
'#skF_92': $i ).
tff(c_Order__Relation_Owell__order__on,type,
c_Order__Relation_Owell__order__on: ( $i * $i * $i ) > $o ).
tff('#skF_34',type,
'#skF_34': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_52',type,
'#skF_52': ( $i * $i * $i * $i ) > $i ).
tff(c_Wellfounded_Oless__than,type,
c_Wellfounded_Oless__than: $i ).
tff('#skF_74',type,
'#skF_74': ( $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(c_Wellfounded_Olex__prod,type,
c_Wellfounded_Olex__prod: ( $i * $i * $i * $i ) > $i ).
tff('#skF_30',type,
'#skF_30': ( $i * $i * $i ) > $i ).
tff(class_Groups_Ominus,type,
class_Groups_Ominus: $i > $o ).
tff('#skF_78',type,
'#skF_78': ( $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i ) > $i ).
tff(c_Nitpick_Orefl_H,type,
c_Nitpick_Orefl_H: ( $i * $i ) > $o ).
tff('#skF_38',type,
'#skF_38': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(c_Recdef_Osame__fst,type,
c_Recdef_Osame__fst: ( $i * $i * $i * $i ) > $i ).
tff('#skF_87',type,
'#skF_87': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(v_L,type,
v_L: $i ).
tff(c_Wellfounded_Omin__ext,type,
c_Wellfounded_Omin__ext: ( $i * $i ) > $i ).
tff(c_FunDef_Omin__weak,type,
c_FunDef_Omin__weak: $i ).
tff('#skF_69',type,
'#skF_69': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_54',type,
'#skF_54': ( $i * $i * $i * $i ) > $i ).
tff('#skF_64',type,
'#skF_64': ( $i * $i * $i * $i ) > $i ).
tff(c_Groups_Ominus__class_Ominus,type,
c_Groups_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(c_Orderings_Oord__class_Oless,type,
c_Orderings_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i * $i ) > $i ).
tff(c_Product__Type_Ocurry,type,
c_Product__Type_Ocurry: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(c_Wellfounded_Oacyclic,type,
c_Wellfounded_Oacyclic: ( $i * $i ) > $o ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_42',type,
'#skF_42': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_66',type,
'#skF_66': ( $i * $i ) > $i ).
tff(c_Relation_OField,type,
c_Relation_OField: ( $i * $i ) > $i ).
tff('#skF_76',type,
'#skF_76': ( $i * $i * $i * $i ) > $i ).
tff(c_Relation_Orefl__on,type,
c_Relation_Orefl__on: ( $i * $i * $i ) > $o ).
tff(tc_fun,type,
tc_fun: ( $i * $i ) > $i ).
tff(class_Orderings_Oord,type,
class_Orderings_Oord: $i > $o ).
tff('#skF_59',type,
'#skF_59': ( $i * $i * $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(c_Wellfounded_Owf,type,
c_Wellfounded_Owf: ( $i * $i ) > $o ).
tff('#skF_89',type,
'#skF_89': $i ).
tff(c_Relation_Orel__comp,type,
c_Relation_Orel__comp: ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_71',type,
'#skF_71': ( $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i ) > $i ).
tff(c_Wellfounded_Opred__nat,type,
c_Wellfounded_Opred__nat: $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i ) > $i ).
tff('#skF_90',type,
'#skF_90': $i ).
tff('#skF_41',type,
'#skF_41': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(c_Relation_OImage,type,
c_Relation_OImage: ( $i * $i * $i * $i ) > $i ).
tff('#skF_26',type,
'#skF_26': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(c_Order__Relation_Ostrict__linear__order__on,type,
c_Order__Relation_Ostrict__linear__order__on: ( $i * $i * $i ) > $o ).
tff(c_Arrow__Order__Mirabelle_OLin,type,
c_Arrow__Order__Mirabelle_OLin: $i ).
tff('#skF_67',type,
'#skF_67': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i ) > $i ).
tff(class_Lattices_Osemilattice__sup,type,
class_Lattices_Osemilattice__sup: $i > $o ).
tff(hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff('#skF_40',type,
'#skF_40': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_81',type,
'#skF_81': ( $i * $i ) > $i ).
tff('#skF_88',type,
'#skF_88': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_58',type,
'#skF_58': ( $i * $i ) > $i ).
tff('#skF_55',type,
'#skF_55': ( $i * $i * $i * $i ) > $i ).
tff('#skF_93',type,
'#skF_93': $i ).
tff(c_Wellfounded_Omax__ext,type,
c_Wellfounded_Omax__ext: ( $i * $i ) > $i ).
tff('#skF_43',type,
'#skF_43': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(c_Nitpick_Owf__wfrec,type,
c_Nitpick_Owf__wfrec: ( $i * $i * $i * $i ) > $i ).
tff('#skF_62',type,
'#skF_62': ( $i * $i * $i * $i ) > $i ).
tff('#skF_80',type,
'#skF_80': ( $i * $i * $i * $i ) > $i ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff('#skF_77',type,
'#skF_77': ( $i * $i ) > $i ).
tff(c_Equiv__Relations_Oequiv,type,
c_Equiv__Relations_Oequiv: ( $i * $i * $i ) > $o ).
tff(c_Relation_OId,type,
c_Relation_OId: $i > $i ).
tff(c_Product__Type_Ointernal__split,type,
c_Product__Type_Ointernal__split: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_FunDef_Oin__rel,type,
c_FunDef_Oin__rel: ( $i * $i * $i ) > $i ).
tff(c_Recdef_Owfrec,type,
c_Recdef_Owfrec: ( $i * $i * $i * $i ) > $i ).
tff(c_Wellfounded_OwfP,type,
c_Wellfounded_OwfP: ( $i * $i ) > $o ).
tff(c_Nitpick_Ofold__graph_H,type,
c_Nitpick_Ofold__graph_H: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(c_FunDef_Omax__strict,type,
c_FunDef_Omax__strict: $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i ) > $i ).
tff(tc_Arrow__Order__Mirabelle_Oalt,type,
tc_Arrow__Order__Mirabelle_Oalt: $i ).
tff('#skF_75',type,
'#skF_75': ( $i * $i * $i ) > $i ).
tff('#skF_68',type,
'#skF_68': ( $i * $i * $i * $i * $i ) > $i ).
tff(class_Groups_Oab__group__add,type,
class_Groups_Oab__group__add: $i > $o ).
tff(class_Orderings_Obot,type,
class_Orderings_Obot: $i > $o ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(c_Transitive__Closure_Otrancl,type,
c_Transitive__Closure_Otrancl: ( $i * $i ) > $i ).
tff('#skF_83',type,
'#skF_83': ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Relation_OId__on,type,
c_Relation_OId__on: ( $i * $i ) > $i ).
tff('#skF_35',type,
'#skF_35': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff('#skF_91',type,
'#skF_91': $i ).
tff(c_Relation_ODomain,type,
c_Relation_ODomain: ( $i * $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_28',type,
'#skF_28': ( $i * $i * $i ) > $i ).
tff(c_FunDef_Orp__inv__image,type,
c_FunDef_Orp__inv__image: ( $i * $i * $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff('#skF_79',type,
'#skF_79': ( $i * $i ) > $i ).
tff(c_Wellfounded_Omeasure,type,
c_Wellfounded_Omeasure: $i > $i ).
tff(f_2822,negated_conjecture,
~ ( ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
& ! [B_x] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_x),v_L)
& ! [B_x,B_y] :
( ( B_x != B_y )
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_x),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L) ) ) )
<=> ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
& ! [B_x] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_x),v_L)
& ! [B_x,B_y] :
( ( B_x != B_y )
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_x),v_L) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f_113,axiom,
! [V_A_2,V_x_2,T_a] :
( c_member(T_a,V_x_2,V_A_2)
<=> hBOOL(hAPP(V_A_2,V_x_2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mem__def) ).
tff(c_1602,plain,
! [B_x_1910,B_x_1913] :
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_1910,B_x_1910),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_1913,B_x_1913),v_L) ),
inference(cnfTransformation,[status(thm)],[f_2822]) ).
tff(c_1697,plain,
! [B_x_1913] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_1913,B_x_1913),v_L),
inference(splitLeft,[status(thm)],[c_1602]) ).
tff(c_1616,plain,
c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L),
inference(cnfTransformation,[status(thm)],[f_2822]) ).
tff(c_1562,plain,
( ( '#skF_90' != '#skF_91' )
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
inference(cnfTransformation,[status(thm)],[f_2822]) ).
tff(c_1660,plain,
( ( '#skF_90' != '#skF_91' )
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L) ),
inference(demodulation,[status(thm),theory(equality)],[c_1616,c_1562]) ).
tff(c_57527,plain,
( ( '#skF_90' != '#skF_91' )
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1697,c_1697,c_1660]) ).
tff(c_57528,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitLeft,[status(thm)],[c_57527]) ).
tff(c_1586,plain,
( ( '#skF_90' != '#skF_91' )
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| ( '#skF_94' != '#skF_93' )
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
inference(cnfTransformation,[status(thm)],[f_2822]) ).
tff(c_1640,plain,
( ( '#skF_90' != '#skF_91' )
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| ( '#skF_94' != '#skF_93' )
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L) ),
inference(demodulation,[status(thm),theory(equality)],[c_1616,c_1586]) ).
tff(c_57021,plain,
( ( '#skF_90' != '#skF_91' )
| ( '#skF_94' != '#skF_93' ) ),
inference(negUnitSimplification,[status(thm)],[c_1697,c_1697,c_1640]) ).
tff(c_57022,plain,
'#skF_94' != '#skF_93',
inference(splitLeft,[status(thm)],[c_57021]) ).
tff(c_1560,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
inference(cnfTransformation,[status(thm)],[f_2822]) ).
tff(c_1662,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L) ),
inference(demodulation,[status(thm),theory(equality)],[c_1616,c_1560]) ).
tff(c_58339,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1697,c_1697,c_1662]) ).
tff(c_58340,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitLeft,[status(thm)],[c_58339]) ).
tff(c_1600,plain,
! [B_x_1911,B_y_1912,B_x_1913] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_1911,B_y_1912),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y_1912,B_x_1911),v_L)
| ( B_y_1912 = B_x_1911 )
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_1913,B_x_1913),v_L) ),
inference(cnfTransformation,[status(thm)],[f_2822]) ).
tff(c_1712,plain,
! [B_x_1913] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_1913,B_x_1913),v_L),
inference(splitLeft,[status(thm)],[c_1600]) ).
tff(c_25151,plain,
( ( '#skF_90' != '#skF_91' )
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1712,c_1712,c_1660]) ).
tff(c_25152,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitLeft,[status(thm)],[c_25151]) ).
tff(c_24645,plain,
( ( '#skF_90' != '#skF_91' )
| ( '#skF_94' != '#skF_93' ) ),
inference(negUnitSimplification,[status(thm)],[c_1712,c_1712,c_1640]) ).
tff(c_24646,plain,
'#skF_94' != '#skF_93',
inference(splitLeft,[status(thm)],[c_24645]) ).
tff(c_1963,plain,
( ( '#skF_90' != '#skF_91' )
| ( '#skF_94' != '#skF_93' ) ),
inference(negUnitSimplification,[status(thm)],[c_1712,c_1712,c_1640]) ).
tff(c_1964,plain,
'#skF_94' != '#skF_93',
inference(splitLeft,[status(thm)],[c_1963]) ).
tff(c_2644,plain,
( ( '#skF_90' != '#skF_91' )
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1712,c_1712,c_1660]) ).
tff(c_2645,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitLeft,[status(thm)],[c_2644]) ).
tff(c_1588,plain,
! [B_x_1911,B_y_1912,B_y_1915,B_x_1914] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_1911,B_y_1912),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y_1912,B_x_1911),v_L)
| ( B_y_1912 = B_x_1911 )
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y_1915,B_x_1914),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_1914,B_y_1915),v_L)
| ( B_y_1915 = B_x_1914 ) ),
inference(cnfTransformation,[status(thm)],[f_2822]) ).
tff(c_1724,plain,
! [B_y_1915,B_x_1914] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y_1915,B_x_1914),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_1914,B_y_1915),v_L)
| ( B_y_1915 = B_x_1914 ) ),
inference(splitLeft,[status(thm)],[c_1588]) ).
tff(c_1574,plain,
( ( '#skF_90' != '#skF_91' )
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
inference(cnfTransformation,[status(thm)],[f_2822]) ).
tff(c_1650,plain,
( ( '#skF_90' != '#skF_91' )
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L) ),
inference(demodulation,[status(thm),theory(equality)],[c_1616,c_1574]) ).
tff(c_2497,plain,
( ( '#skF_90' != '#skF_91' )
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1712,c_1712,c_1650]) ).
tff(c_2498,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitLeft,[status(thm)],[c_2497]) ).
tff(c_6770,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L)
| ( '#skF_94' = '#skF_93' ) ),
inference(resolution,[status(thm)],[c_1724,c_2498]) ).
tff(c_6777,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1964,c_2645,c_6770]) ).
tff(c_6778,plain,
'#skF_90' != '#skF_91',
inference(splitRight,[status(thm)],[c_2644]) ).
tff(c_1968,plain,
! [V_A_2_2051,V_x_2_2052,T_a_2053] :
( hBOOL(hAPP(V_A_2_2051,V_x_2_2052))
| ~ c_member(T_a_2053,V_x_2_2052,V_A_2_2051) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_1980,plain,
! [B_x_1914,B_y_1915] :
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_1914,B_y_1915)))
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y_1915,B_x_1914),v_L)
| ( B_y_1915 = B_x_1914 ) ),
inference(resolution,[status(thm)],[c_1724,c_1968]) ).
tff(c_1558,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
inference(cnfTransformation,[status(thm)],[f_2822]) ).
tff(c_1664,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L) ),
inference(demodulation,[status(thm),theory(equality)],[c_1616,c_1558]) ).
tff(c_9857,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1712,c_1712,c_1664]) ).
tff(c_9858,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitLeft,[status(thm)],[c_9857]) ).
tff(c_7614,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1712,c_1712,c_1662]) ).
tff(c_7615,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitLeft,[status(thm)],[c_7614]) ).
tff(c_9623,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L)
| ( '#skF_94' = '#skF_93' ) ),
inference(resolution,[status(thm)],[c_1724,c_2498]) ).
tff(c_9630,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1964,c_7615,c_9623]) ).
tff(c_9632,plain,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitRight,[status(thm)],[c_7614]) ).
tff(c_10732,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9858,c_9632]) ).
tff(c_10733,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L),
inference(splitRight,[status(thm)],[c_9857]) ).
tff(c_11667,plain,
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91')))
| ( '#skF_90' = '#skF_91' ) ),
inference(resolution,[status(thm)],[c_1980,c_10733]) ).
tff(c_11672,plain,
hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'))),
inference(negUnitSimplification,[status(thm)],[c_6778,c_11667]) ).
tff(c_53,plain,
! [T_a_74,V_x_2_73,V_A_2_72] :
( c_member(T_a_74,V_x_2_73,V_A_2_72)
| ~ hBOOL(hAPP(V_A_2_72,V_x_2_73)) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_11675,plain,
! [T_a_74] : c_member(T_a_74,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L),
inference(resolution,[status(thm)],[c_11672,c_53]) ).
tff(c_9631,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L),
inference(splitRight,[status(thm)],[c_7614]) ).
tff(c_11708,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11675,c_9631]) ).
tff(c_11709,plain,
'#skF_90' != '#skF_91',
inference(splitRight,[status(thm)],[c_2497]) ).
tff(c_1979,plain,
! [B_y_1915,B_x_1914] :
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y_1915,B_x_1914)))
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_1914,B_y_1915),v_L)
| ( B_y_1915 = B_x_1914 ) ),
inference(resolution,[status(thm)],[c_1724,c_1968]) ).
tff(c_1570,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
inference(cnfTransformation,[status(thm)],[f_2822]) ).
tff(c_1654,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L) ),
inference(demodulation,[status(thm),theory(equality)],[c_1616,c_1570]) ).
tff(c_12501,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1712,c_1712,c_1654]) ).
tff(c_12502,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitLeft,[status(thm)],[c_12501]) ).
tff(c_1572,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
inference(cnfTransformation,[status(thm)],[f_2822]) ).
tff(c_1652,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L) ),
inference(demodulation,[status(thm),theory(equality)],[c_1616,c_1572]) ).
tff(c_12788,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1712,c_1712,c_1652]) ).
tff(c_12789,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitLeft,[status(thm)],[c_12788]) ).
tff(c_11710,plain,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitRight,[status(thm)],[c_2497]) ).
tff(c_13791,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12789,c_11710]) ).
tff(c_13793,plain,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitRight,[status(thm)],[c_12788]) ).
tff(c_14807,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12502,c_13793]) ).
tff(c_14808,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L),
inference(splitRight,[status(thm)],[c_12501]) ).
tff(c_20964,plain,
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91')))
| ( '#skF_90' = '#skF_91' ) ),
inference(resolution,[status(thm)],[c_1979,c_14808]) ).
tff(c_20969,plain,
hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'))),
inference(negUnitSimplification,[status(thm)],[c_11709,c_20964]) ).
tff(c_20972,plain,
! [T_a_74] : c_member(T_a_74,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L),
inference(resolution,[status(thm)],[c_20969,c_53]) ).
tff(c_14811,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1712,c_1712,c_1652]) ).
tff(c_14812,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitLeft,[status(thm)],[c_14811]) ).
tff(c_14809,plain,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitRight,[status(thm)],[c_12501]) ).
tff(c_19631,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14812,c_14809]) ).
tff(c_19632,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L),
inference(splitRight,[status(thm)],[c_14811]) ).
tff(c_21032,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20972,c_19632]) ).
tff(c_21033,plain,
'#skF_90' != '#skF_91',
inference(splitRight,[status(thm)],[c_1963]) ).
tff(c_21114,plain,
! [V_A_2_3138,V_x_2_3139,T_a_3140] :
( hBOOL(hAPP(V_A_2_3138,V_x_2_3139))
| ~ c_member(T_a_3140,V_x_2_3139,V_A_2_3138) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_24362,plain,
! [B_y_3365,B_x_3366] :
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y_3365,B_x_3366)))
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_3366,B_y_3365),v_L)
| ( B_y_3365 = B_x_3366 ) ),
inference(resolution,[status(thm)],[c_1724,c_21114]) ).
tff(c_21034,plain,
'#skF_94' = '#skF_93',
inference(splitRight,[status(thm)],[c_1963]) ).
tff(c_1582,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| ( '#skF_94' != '#skF_93' )
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
inference(cnfTransformation,[status(thm)],[f_2822]) ).
tff(c_1644,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| ( '#skF_94' != '#skF_93' )
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L) ),
inference(demodulation,[status(thm),theory(equality)],[c_1616,c_1582]) ).
tff(c_21934,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L) ),
inference(demodulation,[status(thm),theory(equality)],[c_21034,c_1644]) ).
tff(c_21935,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L),
inference(negUnitSimplification,[status(thm)],[c_1712,c_1712,c_21934]) ).
tff(c_24365,plain,
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91')))
| ( '#skF_90' = '#skF_91' ) ),
inference(resolution,[status(thm)],[c_24362,c_21935]) ).
tff(c_24380,plain,
hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'))),
inference(negUnitSimplification,[status(thm)],[c_21033,c_24365]) ).
tff(c_24390,plain,
! [T_a_74] : c_member(T_a_74,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L),
inference(resolution,[status(thm)],[c_24380,c_53]) ).
tff(c_1584,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| ( '#skF_94' != '#skF_93' )
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
inference(cnfTransformation,[status(thm)],[f_2822]) ).
tff(c_1642,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| ( '#skF_94' != '#skF_93' )
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L) ),
inference(demodulation,[status(thm),theory(equality)],[c_1616,c_1584]) ).
tff(c_21704,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L) ),
inference(demodulation,[status(thm),theory(equality)],[c_21034,c_1642]) ).
tff(c_21705,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L),
inference(negUnitSimplification,[status(thm)],[c_1712,c_1712,c_21704]) ).
tff(c_24396,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24390,c_21705]) ).
tff(c_24397,plain,
! [B_x_1911,B_y_1912] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_1911,B_y_1912),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y_1912,B_x_1911),v_L)
| ( B_y_1912 = B_x_1911 ) ),
inference(splitRight,[status(thm)],[c_1588]) ).
tff(c_24762,plain,
! [V_A_2_3474,V_x_2_3475,T_a_3476] :
( hBOOL(hAPP(V_A_2_3474,V_x_2_3475))
| ~ c_member(T_a_3476,V_x_2_3475,V_A_2_3474) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_24771,plain,
! [B_x_1911,B_y_1912] :
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_1911,B_y_1912)))
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y_1912,B_x_1911),v_L)
| ( B_y_1912 = B_x_1911 ) ),
inference(resolution,[status(thm)],[c_24397,c_24762]) ).
tff(c_25237,plain,
( ( '#skF_90' != '#skF_91' )
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1712,c_1712,c_1650]) ).
tff(c_25238,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitLeft,[status(thm)],[c_25237]) ).
tff(c_31879,plain,
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94')))
| ( '#skF_94' = '#skF_93' ) ),
inference(resolution,[status(thm)],[c_24771,c_25238]) ).
tff(c_31888,plain,
hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'))),
inference(negUnitSimplification,[status(thm)],[c_24646,c_31879]) ).
tff(c_31905,plain,
! [T_a_74] : c_member(T_a_74,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(resolution,[status(thm)],[c_31888,c_53]) ).
tff(c_31911,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_31905,c_25152]) ).
tff(c_31912,plain,
'#skF_90' != '#skF_91',
inference(splitRight,[status(thm)],[c_25237]) ).
tff(c_34963,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1712,c_1712,c_1664]) ).
tff(c_34964,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitLeft,[status(thm)],[c_34963]) ).
tff(c_35083,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1712,c_1712,c_1654]) ).
tff(c_35084,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitLeft,[status(thm)],[c_35083]) ).
tff(c_36099,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L)
| ( '#skF_94' = '#skF_93' ) ),
inference(resolution,[status(thm)],[c_24397,c_35084]) ).
tff(c_36106,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24646,c_34964,c_36099]) ).
tff(c_36107,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L),
inference(splitRight,[status(thm)],[c_35083]) ).
tff(c_37178,plain,
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91')))
| ( '#skF_90' = '#skF_91' ) ),
inference(resolution,[status(thm)],[c_24771,c_36107]) ).
tff(c_37183,plain,
hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'))),
inference(negUnitSimplification,[status(thm)],[c_31912,c_37178]) ).
tff(c_37186,plain,
! [T_a_74] : c_member(T_a_74,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L),
inference(resolution,[status(thm)],[c_37183,c_53]) ).
tff(c_32780,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1712,c_1712,c_1652]) ).
tff(c_32781,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitLeft,[status(thm)],[c_32780]) ).
tff(c_34950,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L)
| ( '#skF_94' = '#skF_93' ) ),
inference(resolution,[status(thm)],[c_24397,c_32781]) ).
tff(c_34957,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24646,c_25152,c_34950]) ).
tff(c_34958,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L),
inference(splitRight,[status(thm)],[c_32780]) ).
tff(c_37248,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37186,c_34958]) ).
tff(c_37250,plain,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitRight,[status(thm)],[c_34963]) ).
tff(c_39512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25152,c_37250]) ).
tff(c_39513,plain,
'#skF_90' != '#skF_91',
inference(splitRight,[status(thm)],[c_25151]) ).
tff(c_24772,plain,
! [B_y_1912,B_x_1911] :
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y_1912,B_x_1911)))
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_1911,B_y_1912),v_L)
| ( B_y_1912 = B_x_1911 ) ),
inference(resolution,[status(thm)],[c_24397,c_24762]) ).
tff(c_50813,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1712,c_1712,c_1662]) ).
tff(c_50814,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitLeft,[status(thm)],[c_50813]) ).
tff(c_39514,plain,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitRight,[status(thm)],[c_25151]) ).
tff(c_52199,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50814,c_39514]) ).
tff(c_52200,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L),
inference(splitRight,[status(thm)],[c_50813]) ).
tff(c_53536,plain,
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90')))
| ( '#skF_90' = '#skF_91' ) ),
inference(resolution,[status(thm)],[c_24772,c_52200]) ).
tff(c_53545,plain,
hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'))),
inference(negUnitSimplification,[status(thm)],[c_39513,c_53536]) ).
tff(c_53554,plain,
! [T_a_74] : c_member(T_a_74,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L),
inference(resolution,[status(thm)],[c_53545,c_53]) ).
tff(c_45386,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1712,c_1712,c_1654]) ).
tff(c_45387,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitLeft,[status(thm)],[c_45386]) ).
tff(c_40235,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1712,c_1712,c_1652]) ).
tff(c_40236,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitLeft,[status(thm)],[c_40235]) ).
tff(c_44011,plain,
! [B_x_4644,B_y_4645] :
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_4644,B_y_4645)))
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y_4645,B_x_4644),v_L)
| ( B_y_4645 = B_x_4644 ) ),
inference(resolution,[status(thm)],[c_24397,c_24762]) ).
tff(c_41838,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1712,c_1712,c_1664]) ).
tff(c_41839,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitLeft,[status(thm)],[c_41838]) ).
tff(c_42903,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41839,c_39514]) ).
tff(c_42904,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L),
inference(splitRight,[status(thm)],[c_41838]) ).
tff(c_44014,plain,
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91')))
| ( '#skF_90' = '#skF_91' ) ),
inference(resolution,[status(thm)],[c_44011,c_42904]) ).
tff(c_44029,plain,
hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'))),
inference(negUnitSimplification,[status(thm)],[c_39513,c_44014]) ).
tff(c_44040,plain,
! [T_a_74] : c_member(T_a_74,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L),
inference(resolution,[status(thm)],[c_44029,c_53]) ).
tff(c_40331,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1712,c_1712,c_1662]) ).
tff(c_40332,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitLeft,[status(thm)],[c_40331]) ).
tff(c_40310,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1712,c_1712,c_1654]) ).
tff(c_40311,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitLeft,[status(thm)],[c_40310]) ).
tff(c_41608,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L)
| ( '#skF_94' = '#skF_93' ) ),
inference(resolution,[status(thm)],[c_24397,c_40311]) ).
tff(c_41615,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24646,c_40332,c_41608]) ).
tff(c_41616,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L),
inference(splitRight,[status(thm)],[c_40331]) ).
tff(c_44074,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44040,c_41616]) ).
tff(c_44076,plain,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitRight,[status(thm)],[c_40310]) ).
tff(c_45383,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40236,c_44076]) ).
tff(c_45385,plain,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitRight,[status(thm)],[c_40235]) ).
tff(c_50722,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_45387,c_45385]) ).
tff(c_50723,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L),
inference(splitRight,[status(thm)],[c_45386]) ).
tff(c_53587,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_53554,c_50723]) ).
tff(c_53588,plain,
'#skF_90' != '#skF_91',
inference(splitRight,[status(thm)],[c_24645]) ).
tff(c_53600,plain,
! [V_A_2_5189,V_x_2_5190,T_a_5191] :
( hBOOL(hAPP(V_A_2_5189,V_x_2_5190))
| ~ c_member(T_a_5191,V_x_2_5190,V_A_2_5189) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_56726,plain,
! [B_x_5435,B_y_5436] :
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_5435,B_y_5436)))
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y_5436,B_x_5435),v_L)
| ( B_y_5436 = B_x_5435 ) ),
inference(resolution,[status(thm)],[c_24397,c_53600]) ).
tff(c_53589,plain,
'#skF_94' = '#skF_93',
inference(splitRight,[status(thm)],[c_24645]) ).
tff(c_54549,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L) ),
inference(demodulation,[status(thm),theory(equality)],[c_53589,c_1644]) ).
tff(c_54550,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L),
inference(negUnitSimplification,[status(thm)],[c_1712,c_1712,c_54549]) ).
tff(c_56729,plain,
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91')))
| ( '#skF_90' = '#skF_91' ) ),
inference(resolution,[status(thm)],[c_56726,c_54550]) ).
tff(c_56744,plain,
hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'))),
inference(negUnitSimplification,[status(thm)],[c_53588,c_56729]) ).
tff(c_56754,plain,
! [T_a_74] : c_member(T_a_74,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L),
inference(resolution,[status(thm)],[c_56744,c_53]) ).
tff(c_54181,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L) ),
inference(demodulation,[status(thm),theory(equality)],[c_53589,c_1642]) ).
tff(c_54182,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L),
inference(negUnitSimplification,[status(thm)],[c_1712,c_1712,c_54181]) ).
tff(c_56760,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_56754,c_54182]) ).
tff(c_56761,plain,
! [B_x_1911,B_y_1912] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_1911,B_y_1912),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y_1912,B_x_1911),v_L)
| ( B_y_1912 = B_x_1911 ) ),
inference(splitRight,[status(thm)],[c_1600]) ).
tff(c_57818,plain,
( ( '#skF_90' != '#skF_91' )
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1697,c_1697,c_1650]) ).
tff(c_57819,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitLeft,[status(thm)],[c_57818]) ).
tff(c_63141,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L)
| ( '#skF_94' = '#skF_93' ) ),
inference(resolution,[status(thm)],[c_56761,c_57819]) ).
tff(c_63148,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57022,c_58340,c_63141]) ).
tff(c_63150,plain,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitRight,[status(thm)],[c_58339]) ).
tff(c_64441,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57528,c_63150]) ).
tff(c_64442,plain,
'#skF_90' != '#skF_91',
inference(splitRight,[status(thm)],[c_57818]) ).
tff(c_57138,plain,
! [V_A_2_5556,V_x_2_5557,T_a_5558] :
( hBOOL(hAPP(V_A_2_5556,V_x_2_5557))
| ~ c_member(T_a_5558,V_x_2_5557,V_A_2_5556) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_57149,plain,
! [B_x_1911,B_y_1912] :
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_1911,B_y_1912)))
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y_1912,B_x_1911),v_L)
| ( B_y_1912 = B_x_1911 ) ),
inference(resolution,[status(thm)],[c_56761,c_57138]) ).
tff(c_67274,plain,
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93')))
| ( '#skF_94' = '#skF_93' ) ),
inference(resolution,[status(thm)],[c_57149,c_57528]) ).
tff(c_67279,plain,
hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'))),
inference(negUnitSimplification,[status(thm)],[c_57022,c_67274]) ).
tff(c_67282,plain,
! [T_a_74] : c_member(T_a_74,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(resolution,[status(thm)],[c_67279,c_53]) ).
tff(c_65195,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1697,c_1697,c_1654]) ).
tff(c_65196,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitLeft,[status(thm)],[c_65195]) ).
tff(c_67316,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_67282,c_65196]) ).
tff(c_67317,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L),
inference(splitRight,[status(thm)],[c_65195]) ).
tff(c_69535,plain,
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91')))
| ( '#skF_90' = '#skF_91' ) ),
inference(resolution,[status(thm)],[c_57149,c_67317]) ).
tff(c_69543,plain,
hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'))),
inference(negUnitSimplification,[status(thm)],[c_64442,c_69535]) ).
tff(c_69546,plain,
! [T_a_74] : c_member(T_a_74,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L),
inference(resolution,[status(thm)],[c_69543,c_53]) ).
tff(c_68380,plain,
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93')))
| ( '#skF_94' = '#skF_93' ) ),
inference(resolution,[status(thm)],[c_57149,c_57528]) ).
tff(c_68385,plain,
hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'))),
inference(negUnitSimplification,[status(thm)],[c_57022,c_68380]) ).
tff(c_68388,plain,
! [T_a_74] : c_member(T_a_74,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(resolution,[status(thm)],[c_68385,c_53]) ).
tff(c_67337,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1697,c_1697,c_1652]) ).
tff(c_67338,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitLeft,[status(thm)],[c_67337]) ).
tff(c_68422,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_68388,c_67338]) ).
tff(c_68423,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L),
inference(splitRight,[status(thm)],[c_67337]) ).
tff(c_69579,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_69546,c_68423]) ).
tff(c_69580,plain,
'#skF_90' != '#skF_91',
inference(splitRight,[status(thm)],[c_57527]) ).
tff(c_57150,plain,
! [B_y_1912,B_x_1911] :
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y_1912,B_x_1911)))
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_1911,B_y_1912),v_L)
| ( B_y_1912 = B_x_1911 ) ),
inference(resolution,[status(thm)],[c_56761,c_57138]) ).
tff(c_81919,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1697,c_1697,c_1662]) ).
tff(c_81920,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitLeft,[status(thm)],[c_81919]) ).
tff(c_69581,plain,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitRight,[status(thm)],[c_57527]) ).
tff(c_84202,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_81920,c_69581]) ).
tff(c_84203,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L),
inference(splitRight,[status(thm)],[c_81919]) ).
tff(c_85399,plain,
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90')))
| ( '#skF_90' = '#skF_91' ) ),
inference(resolution,[status(thm)],[c_57150,c_84203]) ).
tff(c_85408,plain,
hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'))),
inference(negUnitSimplification,[status(thm)],[c_69580,c_85399]) ).
tff(c_85417,plain,
! [T_a_74] : c_member(T_a_74,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L),
inference(resolution,[status(thm)],[c_85408,c_53]) ).
tff(c_77096,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1697,c_1697,c_1654]) ).
tff(c_77097,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitLeft,[status(thm)],[c_77096]) ).
tff(c_70429,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1697,c_1697,c_1652]) ).
tff(c_70430,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitLeft,[status(thm)],[c_70429]) ).
tff(c_70677,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1697,c_1697,c_1662]) ).
tff(c_70678,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitLeft,[status(thm)],[c_70677]) ).
tff(c_71683,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70678,c_69581]) ).
tff(c_71684,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L),
inference(splitRight,[status(thm)],[c_70677]) ).
tff(c_73809,plain,
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90')))
| ( '#skF_90' = '#skF_91' ) ),
inference(resolution,[status(thm)],[c_57150,c_71684]) ).
tff(c_73818,plain,
hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'))),
inference(negUnitSimplification,[status(thm)],[c_69580,c_73809]) ).
tff(c_73827,plain,
! [T_a_74] : c_member(T_a_74,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L),
inference(resolution,[status(thm)],[c_73818,c_53]) ).
tff(c_72690,plain,
! [B_x_6522,B_y_6523] :
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_6522,B_y_6523)))
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y_6523,B_x_6522),v_L)
| ( B_y_6523 = B_x_6522 ) ),
inference(resolution,[status(thm)],[c_56761,c_57138]) ).
tff(c_70537,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1697,c_1697,c_1654]) ).
tff(c_70538,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitLeft,[status(thm)],[c_70537]) ).
tff(c_72693,plain,
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94')))
| ( '#skF_94' = '#skF_93' ) ),
inference(resolution,[status(thm)],[c_72690,c_70538]) ).
tff(c_72705,plain,
hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'))),
inference(negUnitSimplification,[status(thm)],[c_57022,c_72693]) ).
tff(c_72712,plain,
! [T_a_74] : c_member(T_a_74,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(resolution,[status(thm)],[c_72705,c_53]) ).
tff(c_71686,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_1697,c_1697,c_1664]) ).
tff(c_71687,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitLeft,[status(thm)],[c_71686]) ).
tff(c_72746,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_72712,c_71687]) ).
tff(c_72747,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L),
inference(splitRight,[status(thm)],[c_71686]) ).
tff(c_73888,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_73827,c_72747]) ).
tff(c_73890,plain,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitRight,[status(thm)],[c_70537]) ).
tff(c_77093,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70430,c_73890]) ).
tff(c_77095,plain,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitRight,[status(thm)],[c_70429]) ).
tff(c_81814,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77097,c_77095]) ).
tff(c_81815,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L),
inference(splitRight,[status(thm)],[c_77096]) ).
tff(c_85476,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_85417,c_81815]) ).
tff(c_85477,plain,
'#skF_90' != '#skF_91',
inference(splitRight,[status(thm)],[c_57021]) ).
tff(c_85490,plain,
! [V_A_2_7295,V_x_2_7296,T_a_7297] :
( hBOOL(hAPP(V_A_2_7295,V_x_2_7296))
| ~ c_member(T_a_7297,V_x_2_7296,V_A_2_7295) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_88417,plain,
! [B_y_7538,B_x_7539] :
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y_7538,B_x_7539)))
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_7539,B_y_7538),v_L)
| ( B_y_7538 = B_x_7539 ) ),
inference(resolution,[status(thm)],[c_56761,c_85490]) ).
tff(c_85478,plain,
'#skF_94' = '#skF_93',
inference(splitRight,[status(thm)],[c_57021]) ).
tff(c_86084,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L) ),
inference(demodulation,[status(thm),theory(equality)],[c_85478,c_1644]) ).
tff(c_86085,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L),
inference(negUnitSimplification,[status(thm)],[c_1697,c_1697,c_86084]) ).
tff(c_88420,plain,
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91')))
| ( '#skF_90' = '#skF_91' ) ),
inference(resolution,[status(thm)],[c_88417,c_86085]) ).
tff(c_88435,plain,
hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'))),
inference(negUnitSimplification,[status(thm)],[c_85477,c_88420]) ).
tff(c_88445,plain,
! [T_a_74] : c_member(T_a_74,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L),
inference(resolution,[status(thm)],[c_88435,c_53]) ).
tff(c_85984,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L) ),
inference(demodulation,[status(thm),theory(equality)],[c_85478,c_1642]) ).
tff(c_85985,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L),
inference(negUnitSimplification,[status(thm)],[c_1697,c_1697,c_85984]) ).
tff(c_88451,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_88445,c_85985]) ).
tff(c_88452,plain,
! [B_x_1910] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_1910,B_x_1910),v_L),
inference(splitRight,[status(thm)],[c_1602]) ).
tff(c_109372,plain,
( ( '#skF_90' != '#skF_91' )
| ( '#skF_94' != '#skF_93' ) ),
inference(negUnitSimplification,[status(thm)],[c_88452,c_88452,c_1640]) ).
tff(c_109373,plain,
'#skF_94' != '#skF_93',
inference(splitLeft,[status(thm)],[c_109372]) ).
tff(c_89319,plain,
( ( '#skF_90' != '#skF_91' )
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_88452,c_88452,c_1650]) ).
tff(c_89320,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitLeft,[status(thm)],[c_89319]) ).
tff(c_89233,plain,
( ( '#skF_90' != '#skF_91' )
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_88452,c_88452,c_1660]) ).
tff(c_89234,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitLeft,[status(thm)],[c_89233]) ).
tff(c_88727,plain,
( ( '#skF_90' != '#skF_91' )
| ( '#skF_94' != '#skF_93' ) ),
inference(negUnitSimplification,[status(thm)],[c_88452,c_88452,c_1640]) ).
tff(c_88728,plain,
'#skF_94' != '#skF_93',
inference(splitLeft,[status(thm)],[c_88727]) ).
tff(c_88473,plain,
! [B_y_1915,B_x_1914] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y_1915,B_x_1914),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_1914,B_y_1915),v_L)
| ( B_y_1915 = B_x_1914 ) ),
inference(splitLeft,[status(thm)],[c_1588]) ).
tff(c_88844,plain,
! [V_A_2_7667,V_x_2_7668,T_a_7669] :
( hBOOL(hAPP(V_A_2_7667,V_x_2_7668))
| ~ c_member(T_a_7669,V_x_2_7668,V_A_2_7667) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_91635,plain,
! [B_x_7904,B_y_7905] :
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_7904,B_y_7905)))
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y_7905,B_x_7904),v_L)
| ( B_y_7905 = B_x_7904 ) ),
inference(resolution,[status(thm)],[c_88473,c_88844]) ).
tff(c_90376,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_88452,c_88452,c_1664]) ).
tff(c_90377,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitLeft,[status(thm)],[c_90376]) ).
tff(c_91638,plain,
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93')))
| ( '#skF_94' = '#skF_93' ) ),
inference(resolution,[status(thm)],[c_91635,c_90377]) ).
tff(c_91653,plain,
hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'))),
inference(negUnitSimplification,[status(thm)],[c_88728,c_91638]) ).
tff(c_91663,plain,
! [T_a_74] : c_member(T_a_74,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(resolution,[status(thm)],[c_91653,c_53]) ).
tff(c_89967,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_88452,c_88452,c_1654]) ).
tff(c_89968,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitLeft,[status(thm)],[c_89967]) ).
tff(c_91669,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_91663,c_89968]) ).
tff(c_91671,plain,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitRight,[status(thm)],[c_90376]) ).
tff(c_92635,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_89234,c_91671]) ).
tff(c_92637,plain,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitRight,[status(thm)],[c_89967]) ).
tff(c_94006,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_89320,c_92637]) ).
tff(c_94007,plain,
'#skF_90' != '#skF_91',
inference(splitRight,[status(thm)],[c_89319]) ).
tff(c_88854,plain,
! [B_x_1914,B_y_1915] :
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_1914,B_y_1915)))
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y_1915,B_x_1914),v_L)
| ( B_y_1915 = B_x_1914 ) ),
inference(resolution,[status(thm)],[c_88473,c_88844]) ).
tff(c_98505,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_88452,c_88452,c_1652]) ).
tff(c_98506,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitLeft,[status(thm)],[c_98505]) ).
tff(c_94008,plain,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitRight,[status(thm)],[c_89319]) ).
tff(c_99318,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98506,c_94008]) ).
tff(c_99319,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L),
inference(splitRight,[status(thm)],[c_98505]) ).
tff(c_100176,plain,
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90')))
| ( '#skF_90' = '#skF_91' ) ),
inference(resolution,[status(thm)],[c_88854,c_99319]) ).
tff(c_100185,plain,
hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'))),
inference(negUnitSimplification,[status(thm)],[c_94007,c_100176]) ).
tff(c_100194,plain,
! [T_a_74] : c_member(T_a_74,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L),
inference(resolution,[status(thm)],[c_100185,c_53]) ).
tff(c_98087,plain,
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93')))
| ( '#skF_94' = '#skF_93' ) ),
inference(resolution,[status(thm)],[c_88854,c_89234]) ).
tff(c_98092,plain,
hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'))),
inference(negUnitSimplification,[status(thm)],[c_88728,c_98087]) ).
tff(c_98095,plain,
! [T_a_74] : c_member(T_a_74,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(resolution,[status(thm)],[c_98092,c_53]) ).
tff(c_94842,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_88452,c_88452,c_1654]) ).
tff(c_94843,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitLeft,[status(thm)],[c_94842]) ).
tff(c_98129,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_98095,c_94843]) ).
tff(c_98130,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L),
inference(splitRight,[status(thm)],[c_94842]) ).
tff(c_100229,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_100194,c_98130]) ).
tff(c_100230,plain,
'#skF_90' != '#skF_91',
inference(splitRight,[status(thm)],[c_89233]) ).
tff(c_88853,plain,
! [B_y_1915,B_x_1914] :
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y_1915,B_x_1914)))
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_1914,B_y_1915),v_L)
| ( B_y_1915 = B_x_1914 ) ),
inference(resolution,[status(thm)],[c_88473,c_88844]) ).
tff(c_106272,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_88452,c_88452,c_1664]) ).
tff(c_106273,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitLeft,[status(thm)],[c_106272]) ).
tff(c_101246,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_88452,c_88452,c_1662]) ).
tff(c_101247,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitLeft,[status(thm)],[c_101246]) ).
tff(c_104154,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_88452,c_88452,c_1664]) ).
tff(c_104155,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitLeft,[status(thm)],[c_104154]) ).
tff(c_100231,plain,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitRight,[status(thm)],[c_89233]) ).
tff(c_105141,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104155,c_100231]) ).
tff(c_105143,plain,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitRight,[status(thm)],[c_104154]) ).
tff(c_106106,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_101247,c_105143]) ).
tff(c_106108,plain,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitRight,[status(thm)],[c_101246]) ).
tff(c_107211,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106273,c_106108]) ).
tff(c_107212,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L),
inference(splitRight,[status(thm)],[c_106272]) ).
tff(c_108194,plain,
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91')))
| ( '#skF_90' = '#skF_91' ) ),
inference(resolution,[status(thm)],[c_88853,c_107212]) ).
tff(c_108199,plain,
hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'))),
inference(negUnitSimplification,[status(thm)],[c_100230,c_108194]) ).
tff(c_108202,plain,
! [T_a_74] : c_member(T_a_74,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L),
inference(resolution,[status(thm)],[c_108199,c_53]) ).
tff(c_106107,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L),
inference(splitRight,[status(thm)],[c_101246]) ).
tff(c_108235,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108202,c_106107]) ).
tff(c_108236,plain,
'#skF_90' != '#skF_91',
inference(splitRight,[status(thm)],[c_88727]) ).
tff(c_108237,plain,
'#skF_94' = '#skF_93',
inference(splitRight,[status(thm)],[c_88727]) ).
tff(c_108826,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L) ),
inference(demodulation,[status(thm),theory(equality)],[c_108237,c_1644]) ).
tff(c_108827,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L),
inference(negUnitSimplification,[status(thm)],[c_88452,c_88452,c_108826]) ).
tff(c_109106,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L) ),
inference(demodulation,[status(thm),theory(equality)],[c_108237,c_1642]) ).
tff(c_109107,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L),
inference(negUnitSimplification,[status(thm)],[c_88452,c_88452,c_109106]) ).
tff(c_109110,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| ( '#skF_90' = '#skF_91' ) ),
inference(resolution,[status(thm)],[c_88473,c_109107]) ).
tff(c_109117,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108236,c_108827,c_109110]) ).
tff(c_109118,plain,
! [B_x_1911,B_y_1912] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_1911,B_y_1912),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y_1912,B_x_1911),v_L)
| ( B_y_1912 = B_x_1911 ) ),
inference(splitRight,[status(thm)],[c_1588]) ).
tff(c_109489,plain,
! [V_A_2_9139,V_x_2_9140,T_a_9141] :
( hBOOL(hAPP(V_A_2_9139,V_x_2_9140))
| ~ c_member(T_a_9141,V_x_2_9140,V_A_2_9139) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_109498,plain,
! [B_x_1911,B_y_1912] :
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_1911,B_y_1912)))
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y_1912,B_x_1911),v_L)
| ( B_y_1912 = B_x_1911 ) ),
inference(resolution,[status(thm)],[c_109118,c_109489]) ).
tff(c_109964,plain,
( ( '#skF_90' != '#skF_91' )
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_88452,c_88452,c_1650]) ).
tff(c_109965,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitLeft,[status(thm)],[c_109964]) ).
tff(c_118021,plain,
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94')))
| ( '#skF_94' = '#skF_93' ) ),
inference(resolution,[status(thm)],[c_109498,c_109965]) ).
tff(c_118030,plain,
hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'))),
inference(negUnitSimplification,[status(thm)],[c_109373,c_118021]) ).
tff(c_118039,plain,
! [T_a_74] : c_member(T_a_74,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(resolution,[status(thm)],[c_118030,c_53]) ).
tff(c_109878,plain,
( ( '#skF_90' != '#skF_91' )
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_88452,c_88452,c_1660]) ).
tff(c_109879,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitLeft,[status(thm)],[c_109878]) ).
tff(c_118073,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_118039,c_109879]) ).
tff(c_118074,plain,
'#skF_90' != '#skF_91',
inference(splitRight,[status(thm)],[c_109964]) ).
tff(c_109499,plain,
! [B_y_1912,B_x_1911] :
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y_1912,B_x_1911)))
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x_1911,B_y_1912),v_L)
| ( B_y_1912 = B_x_1911 ) ),
inference(resolution,[status(thm)],[c_109118,c_109489]) ).
tff(c_124410,plain,
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93')))
| ( '#skF_94' = '#skF_93' ) ),
inference(resolution,[status(thm)],[c_109499,c_109879]) ).
tff(c_124415,plain,
hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'))),
inference(negUnitSimplification,[status(thm)],[c_109373,c_124410]) ).
tff(c_124418,plain,
! [T_a_74] : c_member(T_a_74,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(resolution,[status(thm)],[c_124415,c_53]) ).
tff(c_118795,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_88452,c_88452,c_1652]) ).
tff(c_118796,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitLeft,[status(thm)],[c_118795]) ).
tff(c_124452,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_124418,c_118796]) ).
tff(c_124453,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L),
inference(splitRight,[status(thm)],[c_118795]) ).
tff(c_129391,plain,
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90')))
| ( '#skF_90' = '#skF_91' ) ),
inference(resolution,[status(thm)],[c_109498,c_124453]) ).
tff(c_129400,plain,
hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'))),
inference(negUnitSimplification,[status(thm)],[c_118074,c_129391]) ).
tff(c_129409,plain,
! [T_a_74] : c_member(T_a_74,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L),
inference(resolution,[status(thm)],[c_129400,c_53]) ).
tff(c_128226,plain,
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93')))
| ( '#skF_94' = '#skF_93' ) ),
inference(resolution,[status(thm)],[c_109498,c_109879]) ).
tff(c_128231,plain,
hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'))),
inference(negUnitSimplification,[status(thm)],[c_109373,c_128226]) ).
tff(c_128234,plain,
! [T_a_74] : c_member(T_a_74,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(resolution,[status(thm)],[c_128231,c_53]) ).
tff(c_127149,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_88452,c_88452,c_1654]) ).
tff(c_127150,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_94','#skF_93'),v_L),
inference(splitLeft,[status(thm)],[c_127149]) ).
tff(c_128268,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_128234,c_127150]) ).
tff(c_128269,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L),
inference(splitRight,[status(thm)],[c_127149]) ).
tff(c_129468,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_129409,c_128269]) ).
tff(c_129469,plain,
'#skF_90' != '#skF_91',
inference(splitRight,[status(thm)],[c_109878]) ).
tff(c_129470,plain,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitRight,[status(thm)],[c_109878]) ).
tff(c_51,plain,
! [V_A_2_72,V_x_2_73,T_a_74] :
( hBOOL(hAPP(V_A_2_72,V_x_2_73))
| ~ c_member(T_a_74,V_x_2_73,V_A_2_72) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_133590,plain,
hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'))),
inference(resolution,[status(thm)],[c_129470,c_51]) ).
tff(c_133595,plain,
! [T_a_74] : c_member(T_a_74,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(resolution,[status(thm)],[c_133590,c_53]) ).
tff(c_132595,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_88452,c_88452,c_1662]) ).
tff(c_132596,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitLeft,[status(thm)],[c_132595]) ).
tff(c_133690,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_133595,c_132596]) ).
tff(c_133691,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L),
inference(splitRight,[status(thm)],[c_132595]) ).
tff(c_134748,plain,
( hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90')))
| ( '#skF_90' = '#skF_91' ) ),
inference(resolution,[status(thm)],[c_109499,c_133691]) ).
tff(c_134757,plain,
hBOOL(hAPP(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'))),
inference(negUnitSimplification,[status(thm)],[c_129469,c_134748]) ).
tff(c_134766,plain,
! [T_a_74] : c_member(T_a_74,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L),
inference(resolution,[status(thm)],[c_134757,c_53]) ).
tff(c_130566,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L) ),
inference(negUnitSimplification,[status(thm)],[c_88452,c_88452,c_1664]) ).
tff(c_130567,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_93','#skF_94'),v_L),
inference(splitLeft,[status(thm)],[c_130566]) ).
tff(c_132578,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130567,c_129470]) ).
tff(c_132579,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L),
inference(splitRight,[status(thm)],[c_130566]) ).
tff(c_134799,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_134766,c_132579]) ).
tff(c_134800,plain,
'#skF_90' != '#skF_91',
inference(splitRight,[status(thm)],[c_109372]) ).
tff(c_134801,plain,
'#skF_94' = '#skF_93',
inference(splitRight,[status(thm)],[c_109372]) ).
tff(c_135267,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L) ),
inference(demodulation,[status(thm),theory(equality)],[c_134801,c_1644]) ).
tff(c_135268,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L),
inference(negUnitSimplification,[status(thm)],[c_88452,c_88452,c_135267]) ).
tff(c_135670,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_89','#skF_89'),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_92','#skF_92'),v_L) ),
inference(demodulation,[status(thm),theory(equality)],[c_134801,c_1642]) ).
tff(c_135671,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_90','#skF_91'),v_L),
inference(negUnitSimplification,[status(thm)],[c_88452,c_88452,c_135670]) ).
tff(c_135674,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,'#skF_91','#skF_90'),v_L)
| ( '#skF_90' = '#skF_91' ) ),
inference(resolution,[status(thm)],[c_109118,c_135671]) ).
tff(c_135681,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_134800,c_135268,c_135674]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SCT105+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n002.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 13:37:01 EDT 2023
% 0.15/0.36 % CPUTime :
% 32.66/14.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 32.66/14.59
% 32.66/14.59 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 33.08/14.65
% 33.08/14.65 Inference rules
% 33.08/14.65 ----------------------
% 33.08/14.65 #Ref : 0
% 33.08/14.65 #Sup : 25582
% 33.08/14.65 #Fact : 304
% 33.08/14.65 #Define : 0
% 33.08/14.65 #Split : 214
% 33.08/14.65 #Chain : 0
% 33.08/14.65 #Close : 0
% 33.08/14.65
% 33.08/14.65 Ordering : KBO
% 33.08/14.65
% 33.08/14.65 Simplification rules
% 33.08/14.65 ----------------------
% 33.08/14.65 #Subsume : 9290
% 33.08/14.65 #Demod : 13832
% 33.08/14.65 #Tautology : 11344
% 33.08/14.65 #SimpNegUnit : 1574
% 33.08/14.65 #BackRed : 10
% 33.08/14.65
% 33.08/14.65 #Partial instantiations: 0
% 33.08/14.65 #Strategies tried : 1
% 33.08/14.65
% 33.08/14.65 Timing (in seconds)
% 33.08/14.65 ----------------------
% 33.08/14.65 Preprocessing : 1.58
% 33.08/14.65 Parsing : 0.83
% 33.08/14.65 CNF conversion : 0.14
% 33.08/14.65 Main loop : 11.96
% 33.08/14.65 Inferencing : 3.52
% 33.08/14.65 Reduction : 5.22
% 33.08/14.65 Demodulation : 3.95
% 33.08/14.65 BG Simplification : 0.20
% 33.08/14.65 Subsumption : 2.16
% 33.08/14.65 Abstraction : 0.24
% 33.08/14.65 MUC search : 0.00
% 33.08/14.66 Cooper : 0.00
% 33.08/14.66 Total : 13.64
% 33.08/14.66 Index Insertion : 0.00
% 33.08/14.66 Index Deletion : 0.00
% 33.08/14.66 Index Matching : 0.00
% 33.08/14.66 BG Taut test : 0.00
%------------------------------------------------------------------------------