TSTP Solution File: ITP202^1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ITP202^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 03:19:08 EDT 2023
% Result : Theorem 3.14s 3.39s
% Output : Proof 3.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.19 % Problem : ITP202^1 : TPTP v8.1.2. Released v7.5.0.
% 0.19/0.20 % Command : do_cvc5 %s %d
% 0.19/0.41 % Computer : n008.cluster.edu
% 0.19/0.41 % Model : x86_64 x86_64
% 0.19/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.41 % Memory : 8042.1875MB
% 0.19/0.41 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.41 % CPULimit : 300
% 0.19/0.41 % WCLimit : 300
% 0.19/0.41 % DateTime : Sun Aug 27 13:04:32 EDT 2023
% 0.19/0.41 % CPUTime :
% 0.26/0.56 %----Proving TH0
% 0.26/0.57 %------------------------------------------------------------------------------
% 0.26/0.57 % File : ITP202^1 : TPTP v8.1.2. Released v7.5.0.
% 0.26/0.57 % Domain : Interactive Theorem Proving
% 0.26/0.57 % Problem : Sledgehammer USubst problem prob_411__6333658_1
% 0.26/0.57 % Version : Especial.
% 0.26/0.57 % English :
% 0.26/0.57
% 0.26/0.57 % Refs : [BH+15] Blanchette et al. (2015), Mining the Archive of Formal
% 0.26/0.57 % : [Des21] Desharnais (2021), Email to Geoff Sutcliffe
% 0.26/0.57 % Source : [Des21]
% 0.26/0.57 % Names : USubst/prob_411__6333658_1 [Des21]
% 0.26/0.57
% 0.26/0.57 % Status : Theorem
% 0.26/0.57 % Rating : 0.31 v8.1.0, 0.36 v7.5.0
% 0.26/0.57 % Syntax : Number of formulae : 507 ( 231 unt; 151 typ; 0 def)
% 0.26/0.57 % Number of atoms : 935 ( 675 equ; 0 cnn)
% 0.26/0.57 % Maximal formula atoms : 31 ( 2 avg)
% 0.26/0.57 % Number of connectives : 3457 ( 227 ~; 12 |; 39 &;2745 @)
% 0.26/0.57 % ( 0 <=>; 434 =>; 0 <=; 0 <~>)
% 0.26/0.57 % Maximal formula depth : 26 ( 5 avg)
% 0.26/0.57 % Number of types : 31 ( 30 usr)
% 0.26/0.57 % Number of type conns : 970 ( 970 >; 0 *; 0 +; 0 <<)
% 0.26/0.57 % Number of symbols : 124 ( 121 usr; 14 con; 0-8 aty)
% 0.26/0.57 % Number of variables : 1377 ( 319 ^;1039 !; 19 ?;1377 :)
% 0.26/0.57 % SPC : TH0_THM_EQU_NAR
% 0.26/0.57
% 0.26/0.57 % Comments : This file was generated by Sledgehammer 2021-02-23 15:34:11.864
% 0.26/0.57 %------------------------------------------------------------------------------
% 0.26/0.57 % Could-be-implicit typings (30)
% 0.26/0.57 thf(ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_J_J_Mt__Product____Type__Oprod_It__Set__Oset_It__Syntax__Ovariable_J_Mt__Syntax__Otrm_J_J,type,
% 0.26/0.57 produc1699626005le_trm: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_J_J_J,type,
% 0.26/0.57 set_Pr720454634n_game: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_J_J,type,
% 0.26/0.57 produc1418842292n_game: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_J_J,type,
% 0.26/0.57 set_Pr739694057n_game: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_J,type,
% 0.26/0.57 produc62062515n_game: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_J,type,
% 0.26/0.57 set_Pr79606376n_game: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J,type,
% 0.26/0.57 produc799602994n_game: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Syntax__Ogame_J_Mt__Option__Ooption_It__Syntax__Ogame_J_J,type,
% 0.26/0.57 produc1016592119n_game: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Syntax__Ogame_J_Mt__Option__Ooption_It__Syntax__Ofml_J_J,type,
% 0.26/0.57 produc1739631244on_fml: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Syntax__Otrm_J_Mt__Option__Ooption_It__Syntax__Otrm_J_J,type,
% 0.26/0.57 produc1072747943on_trm: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Product____Type__Oprod_It__Option__Ooption_It__Syntax__Ofml_J_Mt__Option__Ooption_It__Syntax__Ofml_J_J,type,
% 0.26/0.57 produc46605351on_fml: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_J,type,
% 0.26/0.57 set_Pr943832262on_trm: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Syntax__Ovariable_J_Mt__Syntax__Otrm_J_J,type,
% 0.26/0.57 set_Pr1235432374le_trm: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Product____Type__Oprod_It__Syntax__Ovariable_Mt__Option__Ooption_It__Syntax__Otrm_J_J,type,
% 0.26/0.57 produc1024976764on_trm: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Product____Type__Oprod_It__Syntax__Ovariable_Mt__Option__Ooption_It__Syntax__Ofml_J_J,type,
% 0.26/0.57 produc1408538418on_fml: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Product____Type__Oprod_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J,type,
% 0.26/0.57 produc464795408on_trm: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Product____Type__Oprod_It__Denotational____Semantics__Ointerp_Mt__Syntax__Otrm_J,type,
% 0.26/0.57 produc833882726rp_trm: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Product____Type__Oprod_It__Set__Oset_It__Syntax__Ovariable_J_Mt__Syntax__Otrm_J,type,
% 0.26/0.57 produc1367888000le_trm: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Option__Ooption_It__Syntax__Ogame_J,type,
% 0.26/0.57 option_game: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Option__Ooption_It__Syntax__Otrm_J,type,
% 0.26/0.57 option_trm: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Option__Ooption_It__Syntax__Ofml_J,type,
% 0.26/0.57 option_fml: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Denotational____Semantics__Ointerp,type,
% 0.26/0.57 denotational_interp: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Set__Oset_It__Syntax__Ovariable_J,type,
% 0.26/0.57 set_variable: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Set__Oset_It__String__Ochar_J,type,
% 0.26/0.57 set_char: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Syntax__Ovariable,type,
% 0.26/0.57 variable: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Syntax__Ogame,type,
% 0.26/0.57 game: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__String__Ochar,type,
% 0.26/0.57 char: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Syntax__Otrm,type,
% 0.26/0.57 trm: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Syntax__Ofml,type,
% 0.26/0.57 fml: $tType ).
% 0.26/0.57
% 0.26/0.57 thf(ty_n_t__Real__Oreal,type,
% 0.26/0.57 real: $tType ).
% 0.26/0.57
% 0.26/0.57 % Explicit typings (121)
% 0.26/0.57 thf(sy_c_If_001t__Option__Ooption_It__Syntax__Otrm_J,type,
% 0.26/0.57 if_option_trm: $o > option_trm > option_trm > option_trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Lattices_Oinf__class_Oinf_001_062_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_M_Eo_J_J,type,
% 0.26/0.57 inf_in243546115game_o: ( ( char > option_fml ) > ( char > option_game ) > $o ) > ( ( char > option_fml ) > ( char > option_game ) > $o ) > ( char > option_fml ) > ( char > option_game ) > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Lattices_Oinf__class_Oinf_001_062_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_M_062_It__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_M_Eo_J_J,type,
% 0.26/0.57 inf_in1072207554game_o: ( ( char > option_trm ) > produc799602994n_game > $o ) > ( ( char > option_trm ) > produc799602994n_game > $o ) > ( char > option_trm ) > produc799602994n_game > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Lattices_Oinf__class_Oinf_001_062_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_M_062_It__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_J_M_Eo_J_J,type,
% 0.26/0.57 inf_in1920662529game_o: ( ( char > option_trm ) > produc62062515n_game > $o ) > ( ( char > option_trm ) > produc62062515n_game > $o ) > ( char > option_trm ) > produc62062515n_game > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Lattices_Oinf__class_Oinf_001_062_It__Set__Oset_It__Syntax__Ovariable_J_M_062_It__Syntax__Otrm_M_Eo_J_J,type,
% 0.26/0.57 inf_in185389155_trm_o: ( set_variable > trm > $o ) > ( set_variable > trm > $o ) > set_variable > trm > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Lattices_Oinf__class_Oinf_001_062_It__String__Ochar_M_062_It__Option__Ooption_It__Syntax__Otrm_J_M_Eo_J_J,type,
% 0.26/0.57 inf_in605351507_trm_o: ( char > option_trm > $o ) > ( char > option_trm > $o ) > char > option_trm > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Lattices_Oinf__class_Oinf_001_062_It__String__Ochar_M_Eo_J,type,
% 0.26/0.57 inf_inf_char_o: ( char > $o ) > ( char > $o ) > char > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Lattices_Oinf__class_Oinf_001_062_It__Syntax__Ovariable_M_Eo_J,type,
% 0.26/0.57 inf_inf_variable_o: ( variable > $o ) > ( variable > $o ) > variable > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_J,type,
% 0.26/0.57 inf_in1391117306n_game: set_Pr79606376n_game > set_Pr79606376n_game > set_Pr79606376n_game ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_J_J,type,
% 0.26/0.57 inf_in69689467n_game: set_Pr739694057n_game > set_Pr739694057n_game > set_Pr739694057n_game ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_J_J_J,type,
% 0.26/0.57 inf_in360367996n_game: set_Pr720454634n_game > set_Pr720454634n_game > set_Pr720454634n_game ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Product____Type__Oprod_It__Set__Oset_It__Syntax__Ovariable_J_Mt__Syntax__Otrm_J_J,type,
% 0.26/0.57 inf_in906025800le_trm: set_Pr1235432374le_trm > set_Pr1235432374le_trm > set_Pr1235432374le_trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Product____Type__Oprod_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_J,type,
% 0.26/0.57 inf_in1243659096on_trm: set_Pr943832262on_trm > set_Pr943832262on_trm > set_Pr943832262on_trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__String__Ochar_J,type,
% 0.26/0.57 inf_inf_set_char: set_char > set_char > set_char ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Syntax__Ovariable_J,type,
% 0.26/0.57 inf_inf_set_variable: set_variable > set_variable > set_variable ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Option_Ocombine__options_001t__Syntax__Ofml,type,
% 0.26/0.57 combine_options_fml: ( fml > fml > fml ) > option_fml > option_fml > option_fml ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Option_Ocombine__options_001t__Syntax__Ogame,type,
% 0.26/0.57 combine_options_game: ( game > game > game ) > option_game > option_game > option_game ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Option_Ocombine__options_001t__Syntax__Otrm,type,
% 0.26/0.57 combine_options_trm: ( trm > trm > trm ) > option_trm > option_trm > option_trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Option_Ooption_ONone_001t__Syntax__Ofml,type,
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% 0.26/0.57 thf(sy_c_Option_Ooption_ONone_001t__Syntax__Ogame,type,
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% 0.26/0.57
% 0.26/0.57 thf(sy_c_Option_Ooption_ONone_001t__Syntax__Otrm,type,
% 0.26/0.57 none_trm: option_trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Option_Ooption_OSome_001t__Syntax__Ofml,type,
% 0.26/0.57 some_fml: fml > option_fml ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Option_Ooption_OSome_001t__Syntax__Ogame,type,
% 0.26/0.57 some_game: game > option_game ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Option_Ooption_OSome_001t__Syntax__Otrm,type,
% 0.26/0.57 some_trm: trm > option_trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Option_Ooption_Ocase__option_001_Eo_001t__Syntax__Ofml,type,
% 0.26/0.57 case_option_o_fml: $o > ( fml > $o ) > option_fml > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Option_Ooption_Ocase__option_001_Eo_001t__Syntax__Ogame,type,
% 0.26/0.57 case_option_o_game: $o > ( game > $o ) > option_game > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Option_Ooption_Ocase__option_001_Eo_001t__Syntax__Otrm,type,
% 0.26/0.57 case_option_o_trm: $o > ( trm > $o ) > option_trm > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__Syntax__Ofml_J_001t__Syntax__Ofml,type,
% 0.26/0.57 case_o209804997ml_fml: option_fml > ( fml > option_fml ) > option_fml > option_fml ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__Syntax__Ogame_J_001t__Syntax__Ogame,type,
% 0.26/0.57 case_o696458451e_game: option_game > ( game > option_game ) > option_game > option_game ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Option_Ooption_Ocase__option_001t__Option__Ooption_It__Syntax__Otrm_J_001t__Syntax__Otrm,type,
% 0.26/0.57 case_o487727941rm_trm: option_trm > ( trm > option_trm ) > option_trm > option_trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Option_Ooption_Othe_001t__Syntax__Ofml,type,
% 0.26/0.57 the_fml: option_fml > fml ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Option_Ooption_Othe_001t__Syntax__Ogame,type,
% 0.26/0.57 the_game: option_game > game ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Option_Ooption_Othe_001t__Syntax__Otrm,type,
% 0.26/0.57 the_trm: option_trm > trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Orderings_Obot__class_Obot_001_062_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_M_Eo_J_J,type,
% 0.26/0.57 bot_bo1895715589game_o: ( char > option_fml ) > ( char > option_game ) > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Orderings_Obot__class_Obot_001_062_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_M_062_It__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_M_Eo_J_J,type,
% 0.26/0.57 bot_bo1417568964game_o: ( char > option_trm ) > produc799602994n_game > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Orderings_Obot__class_Obot_001_062_It__String__Ochar_M_Eo_J,type,
% 0.26/0.57 bot_bot_char_o: char > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Orderings_Obot__class_Obot_001_062_It__Syntax__Ovariable_M_Eo_J,type,
% 0.26/0.57 bot_bot_variable_o: variable > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_J,type,
% 0.26/0.57 bot_bo456479484n_game: set_Pr79606376n_game ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_J_J,type,
% 0.26/0.57 bot_bo1302831229n_game: set_Pr739694057n_game ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__String__Ochar_J,type,
% 0.26/0.57 bot_bot_set_char: set_char ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Syntax__Ovariable_J,type,
% 0.26/0.57 bot_bot_set_variable: set_variable ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_OPair_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J,type,
% 0.26/0.57 produc123610156n_game: ( char > option_fml ) > ( char > option_game ) > produc799602994n_game ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_OPair_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J,type,
% 0.26/0.57 produc1048060077n_game: ( char > option_trm ) > produc799602994n_game > produc62062515n_game ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_OPair_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_J,type,
% 0.26/0.57 produc1618635950n_game: ( char > option_trm ) > produc62062515n_game > produc1418842292n_game ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_OPair_001t__Denotational____Semantics__Ointerp_001t__Syntax__Otrm,type,
% 0.26/0.57 produc1132922070rp_trm: denotational_interp > trm > produc833882726rp_trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_OPair_001t__Option__Ooption_It__Syntax__Ofml_J_001t__Option__Ooption_It__Syntax__Ofml_J,type,
% 0.26/0.57 produc909629463on_fml: option_fml > option_fml > produc46605351on_fml ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_OPair_001t__Option__Ooption_It__Syntax__Ogame_J_001t__Option__Ooption_It__Syntax__Ofml_J,type,
% 0.26/0.57 produc2124676926on_fml: option_game > option_fml > produc1739631244on_fml ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_OPair_001t__Option__Ooption_It__Syntax__Ogame_J_001t__Option__Ooption_It__Syntax__Ogame_J,type,
% 0.26/0.57 produc1111617711n_game: option_game > option_game > produc1016592119n_game ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_OPair_001t__Option__Ooption_It__Syntax__Otrm_J_001t__Option__Ooption_It__Syntax__Otrm_J,type,
% 0.26/0.57 produc709594775on_trm: option_trm > option_trm > produc1072747943on_trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_OPair_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_J_J_001t__Product____Type__Oprod_It__Set__Oset_It__Syntax__Ovariable_J_Mt__Syntax__Otrm_J,type,
% 0.26/0.57 produc2015636557le_trm: produc1418842292n_game > produc1367888000le_trm > produc1699626005le_trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_OPair_001t__Set__Oset_It__Syntax__Ovariable_J_001t__Syntax__Otrm,type,
% 0.26/0.57 produc1482344242le_trm: set_variable > trm > produc1367888000le_trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_OPair_001t__String__Ochar_001t__Option__Ooption_It__Syntax__Otrm_J,type,
% 0.26/0.57 produc1500300866on_trm: char > option_trm > produc464795408on_trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_OPair_001t__Syntax__Ovariable_001t__Option__Ooption_It__Syntax__Ofml_J,type,
% 0.26/0.57 produc1205977188on_fml: variable > option_fml > produc1408538418on_fml ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_OPair_001t__Syntax__Ovariable_001t__Option__Ooption_It__Syntax__Otrm_J,type,
% 0.26/0.57 produc1743721902on_trm: variable > option_trm > produc1024976764on_trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_Ointernal__case__prod_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J,type,
% 0.26/0.57 produc1598111045on_fml: ( ( char > option_fml ) > ( char > option_game ) > char > option_fml ) > produc799602994n_game > char > option_fml ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_Ointernal__case__prod_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J,type,
% 0.26/0.57 produc1214549391on_trm: ( ( char > option_fml ) > ( char > option_game ) > char > option_trm ) > produc799602994n_game > char > option_trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_Ointernal__case__prod_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J,type,
% 0.26/0.57 produc377919108on_fml: ( ( char > option_trm ) > produc799602994n_game > char > option_fml ) > produc62062515n_game > char > option_fml ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_Ointernal__case__prod_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J,type,
% 0.26/0.57 produc2141841102on_trm: ( ( char > option_trm ) > produc799602994n_game > char > option_trm ) > produc62062515n_game > char > option_trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_Ointernal__case__prod_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_J_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J,type,
% 0.26/0.57 produc1278328899on_fml: ( ( char > option_trm ) > produc62062515n_game > char > option_fml ) > produc1418842292n_game > char > option_fml ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J,type,
% 0.26/0.57 produc1420172399on_fml: ( ( char > option_fml ) > ( char > option_game ) > char > option_fml ) > produc799602994n_game > char > option_fml ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J,type,
% 0.26/0.57 produc1036610745on_trm: ( ( char > option_fml ) > ( char > option_game ) > char > option_trm ) > produc799602994n_game > char > option_trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_001_Eo,type,
% 0.26/0.57 produc159680767game_o: ( ( char > option_fml ) > ( char > option_game ) > $o ) > produc799602994n_game > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_001t__Option__Ooption_It__Syntax__Ofml_J,type,
% 0.26/0.57 produc347802313on_fml: ( ( char > option_fml ) > ( char > option_game ) > option_fml ) > produc799602994n_game > option_fml ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_001t__Option__Ooption_It__Syntax__Otrm_J,type,
% 0.26/0.57 produc885547027on_trm: ( ( char > option_fml ) > ( char > option_game ) > option_trm ) > produc799602994n_game > option_trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_001t__Set__Oset_It__String__Ochar_J,type,
% 0.26/0.57 produc629249376t_char: ( ( char > option_fml ) > ( char > option_game ) > set_char ) > produc799602994n_game > set_char ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J,type,
% 0.26/0.57 produc1615133358on_fml: ( ( char > option_trm ) > produc799602994n_game > char > option_fml ) > produc62062515n_game > char > option_fml ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J,type,
% 0.26/0.57 produc1231571704on_trm: ( ( char > option_trm ) > produc799602994n_game > char > option_trm ) > produc62062515n_game > char > option_trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_001_Eo,type,
% 0.26/0.57 produc1868740670game_o: ( ( char > option_trm ) > produc799602994n_game > $o ) > produc62062515n_game > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_001t__Option__Ooption_It__Syntax__Ofml_J,type,
% 0.26/0.57 produc154833544on_fml: ( ( char > option_trm ) > produc799602994n_game > option_fml ) > produc62062515n_game > option_fml ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_001t__Option__Ooption_It__Syntax__Otrm_J,type,
% 0.26/0.57 produc692578258on_trm: ( ( char > option_trm ) > produc799602994n_game > option_trm ) > produc62062515n_game > option_trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_001t__Set__Oset_It__String__Ochar_J,type,
% 0.26/0.57 produc1554403041t_char: ( ( char > option_trm ) > produc799602994n_game > set_char ) > produc62062515n_game > set_char ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_J_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J,type,
% 0.26/0.57 produc1250175341on_fml: ( ( char > option_trm ) > produc62062515n_game > char > option_fml ) > produc1418842292n_game > char > option_fml ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_J_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J,type,
% 0.26/0.57 produc866613687on_trm: ( ( char > option_trm ) > produc62062515n_game > char > option_trm ) > produc1418842292n_game > char > option_trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_J_001_Eo,type,
% 0.26/0.57 produc1707653117game_o: ( ( char > option_trm ) > produc62062515n_game > $o ) > produc1418842292n_game > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_J_001t__Option__Ooption_It__Syntax__Ofml_J,type,
% 0.26/0.57 produc1499310791on_fml: ( ( char > option_trm ) > produc62062515n_game > option_fml ) > produc1418842292n_game > option_fml ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_J_001t__Set__Oset_It__String__Ochar_J,type,
% 0.26/0.57 produc1002100706t_char: ( ( char > option_trm ) > produc62062515n_game > set_char ) > produc1418842292n_game > set_char ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Set__Oset_It__Syntax__Ovariable_J_001t__Syntax__Otrm_001_Eo,type,
% 0.26/0.57 produc82209913_trm_o: ( set_variable > trm > $o ) > produc1367888000le_trm > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Set__Oset_It__Syntax__Ovariable_J_001t__Syntax__Otrm_001t__Set__Oset_It__String__Ochar_J,type,
% 0.26/0.57 produc836445798t_char: ( set_variable > trm > set_char ) > produc1367888000le_trm > set_char ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__String__Ochar_001t__Option__Ooption_It__Syntax__Otrm_J_001_Eo,type,
% 0.26/0.57 produc584666985_trm_o: ( char > option_trm > $o ) > produc464795408on_trm > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__String__Ochar_001t__Option__Ooption_It__Syntax__Otrm_J_001t__Set__Oset_It__String__Ochar_J,type,
% 0.26/0.57 produc33263478t_char: ( char > option_trm > set_char ) > produc464795408on_trm > set_char ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Set_OCollect_001t__String__Ochar,type,
% 0.26/0.57 collect_char: ( char > $o ) > set_char ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Set_OCollect_001t__Syntax__Ovariable,type,
% 0.26/0.57 collect_variable: ( variable > $o ) > set_variable ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Set_Ois__empty_001t__Syntax__Ovariable,type,
% 0.26/0.57 is_empty_variable: set_variable > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Static__Semantics_OFVF,type,
% 0.26/0.57 static_FVF: fml > set_variable ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Static__Semantics_OFVT,type,
% 0.26/0.57 static_FVT: trm > set_variable ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_String_Ochar_OChar,type,
% 0.26/0.57 char2: $o > $o > $o > $o > $o > $o > $o > $o > char ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Syntax_Ofml_OGeq,type,
% 0.26/0.57 geq: trm > trm > fml ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Syntax_Ofml_OPred,type,
% 0.26/0.57 pred: char > trm > fml ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Syntax_Otrm_OConst,type,
% 0.26/0.57 const: char > trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Syntax_Otrm_ODifferential,type,
% 0.26/0.57 differential: trm > trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Syntax_Otrm_OFunc,type,
% 0.26/0.57 func: char > trm > trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Syntax_Otrm_ONumber,type,
% 0.26/0.57 number: real > trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Syntax_Otrm_OPlus,type,
% 0.26/0.57 plus: trm > trm > trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Syntax_Otrm_OTimes,type,
% 0.26/0.57 times: trm > trm > trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Syntax_Otrm_OVar,type,
% 0.26/0.57 var: variable > trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_USubst__Mirabelle__vidvnmlwwz_ODifferentialo,type,
% 0.26/0.57 uSubst716837505ntialo: option_trm > option_trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_USubst__Mirabelle__vidvnmlwwz_OGeqo,type,
% 0.26/0.57 uSubst152838031e_Geqo: option_trm > option_trm > option_fml ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_USubst__Mirabelle__vidvnmlwwz_OGeqo__rel,type,
% 0.26/0.57 uSubst1304144938qo_rel: produc1072747943on_trm > produc1072747943on_trm > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_USubst__Mirabelle__vidvnmlwwz_OPluso,type,
% 0.26/0.57 uSubst141955042_Pluso: option_trm > option_trm > option_trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_USubst__Mirabelle__vidvnmlwwz_OPluso__rel,type,
% 0.26/0.57 uSubst691094423so_rel: produc1072747943on_trm > produc1072747943on_trm > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_USubst__Mirabelle__vidvnmlwwz_OTimeso,type,
% 0.26/0.57 uSubst918876924Timeso: option_trm > option_trm > option_trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_USubst__Mirabelle__vidvnmlwwz_OTimeso__rel,type,
% 0.26/0.57 uSubst924844285so_rel: produc1072747943on_trm > produc1072747943on_trm > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_USubst__Mirabelle__vidvnmlwwz_Odot,type,
% 0.26/0.57 uSubst_Mirabelle_dot: trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_USubst__Mirabelle__vidvnmlwwz_Odotsubstt,type,
% 0.26/0.57 uSubst1408967625substt: trm > produc1418842292n_game ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_USubst__Mirabelle__vidvnmlwwz_Ousappconst,type,
% 0.26/0.57 uSubst1559070963pconst: produc1418842292n_game > set_variable > char > option_trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_USubst__Mirabelle__vidvnmlwwz_Ousubstappf,type,
% 0.26/0.57 uSubst516392804stappf: produc1418842292n_game > set_variable > fml > option_fml ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_USubst__Mirabelle__vidvnmlwwz_Ousubstappt,type,
% 0.26/0.57 uSubst516392818stappt: produc1418842292n_game > set_variable > trm > option_trm ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_USubst__Mirabelle__vidvnmlwwz_Ousubstappt__rel,type,
% 0.26/0.57 uSubst1917534215pt_rel: produc1699626005le_trm > produc1699626005le_trm > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Option__Ooption_It__Syntax__Otrm_J_Mt__Option__Ooption_It__Syntax__Otrm_J_J,type,
% 0.26/0.57 accp_P758790320on_trm: ( produc1072747943on_trm > produc1072747943on_trm > $o ) > produc1072747943on_trm > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_Wellfounded_Oaccp_001t__Product____Type__Oprod_It__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_J_J_Mt__Product____Type__Oprod_It__Set__Oset_It__Syntax__Ovariable_J_Mt__Syntax__Otrm_J_J,type,
% 0.26/0.57 accp_P1877119646le_trm: ( produc1699626005le_trm > produc1699626005le_trm > $o ) > produc1699626005le_trm > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_member_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J,type,
% 0.26/0.57 member849814089n_game: produc799602994n_game > set_Pr79606376n_game > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_member_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_J,type,
% 0.26/0.57 member774167626n_game: produc62062515n_game > set_Pr739694057n_game > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_member_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ofml_J_J_M_062_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Ogame_J_J_J_J_J,type,
% 0.26/0.57 member1940201675n_game: produc1418842292n_game > set_Pr720454634n_game > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_member_001t__Product____Type__Oprod_It__Set__Oset_It__Syntax__Ovariable_J_Mt__Syntax__Otrm_J,type,
% 0.26/0.57 member2122665623le_trm: produc1367888000le_trm > set_Pr1235432374le_trm > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_member_001t__Product____Type__Oprod_It__String__Ochar_Mt__Option__Ooption_It__Syntax__Otrm_J_J,type,
% 0.26/0.57 member694524327on_trm: produc464795408on_trm > set_Pr943832262on_trm > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_member_001t__String__Ochar,type,
% 0.26/0.57 member_char: char > set_char > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_c_member_001t__Syntax__Ovariable,type,
% 0.26/0.57 member_variable: variable > set_variable > $o ).
% 0.26/0.57
% 0.26/0.57 thf(sy_v_U,type,
% 0.26/0.57 u: set_variable ).
% 0.26/0.57
% 0.26/0.57 thf(sy_v_V,type,
% 0.26/0.57 v: set_variable ).
% 0.26/0.57
% 0.26/0.57 thf(sy_v__092_060sigma_062,type,
% 0.26/0.57 sigma: produc1418842292n_game ).
% 0.26/0.57
% 0.26/0.57 thf(sy_v_f____,type,
% 0.26/0.57 f: char ).
% 0.26/0.57
% 0.26/0.57 % Relevant facts (352)
% 0.26/0.57 thf(fact_0_f2,axiom,
% 0.26/0.57 ! [Z: option_trm,F: trm > option_trm,Za: option_trm] :
% 0.26/0.57 ( ( ( Za = none_trm )
% 0.26/0.57 => ( ( case_o487727941rm_trm @ Z @ F @ Za )
% 0.26/0.57 = Z ) )
% 0.26/0.57 & ( ( Za != none_trm )
% 0.26/0.57 => ( ( case_o487727941rm_trm @ Z @ F @ Za )
% 0.26/0.57 = ( F @ ( the_trm @ Za ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % f2
% 0.26/0.57 thf(fact_1_Const_Oprems_I1_J,axiom,
% 0.26/0.57 ( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
% 0.26/0.57 != none_trm ) ).
% 0.26/0.57
% 0.26/0.57 % Const.prems(1)
% 0.26/0.57 thf(fact_2_Const_Oprems_I2_J,axiom,
% 0.26/0.57 ( ( uSubst516392818stappt @ sigma @ v @ ( const @ f ) )
% 0.26/0.57 != none_trm ) ).
% 0.26/0.57
% 0.26/0.57 % Const.prems(2)
% 0.26/0.57 thf(fact_3_f3,axiom,
% 0.26/0.57 ( ( ( produc866613687on_trm
% 0.26/0.57 @ ^ [F0: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
% 0.26/0.57 @ sigma
% 0.26/0.57 @ f )
% 0.26/0.57 != none_trm )
% 0.26/0.57 => ( ( inf_inf_set_variable
% 0.26/0.57 @ ( static_FVT
% 0.26/0.57 @ ( the_trm
% 0.26/0.57 @ ( produc866613687on_trm
% 0.26/0.57 @ ^ [F0: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
% 0.26/0.57 @ sigma
% 0.26/0.57 @ f ) ) )
% 0.26/0.57 @ u )
% 0.26/0.57 = bot_bot_set_variable ) ) ).
% 0.26/0.57
% 0.26/0.57 % f3
% 0.26/0.57 thf(fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,axiom,
% 0.26/0.57 ( ( ( produc866613687on_trm
% 0.26/0.57 @ ^ [F0: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
% 0.26/0.57 @ sigma
% 0.26/0.57 @ f )
% 0.26/0.57 != none_trm )
% 0.26/0.57 => ( ( inf_inf_set_variable
% 0.26/0.57 @ ( static_FVT
% 0.26/0.57 @ ( the_trm
% 0.26/0.57 @ ( produc866613687on_trm
% 0.26/0.57 @ ^ [F0: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
% 0.26/0.57 @ sigma
% 0.26/0.57 @ f ) ) )
% 0.26/0.57 @ v )
% 0.26/0.57 = bot_bot_set_variable ) ) ).
% 0.26/0.57
% 0.26/0.57 % \<open>SConst \<sigma> f \<noteq> undeft \<longrightarrow> FVT (the (SConst \<sigma> f)) \<inter> V = {}\<close>
% 0.26/0.57 thf(fact_5_usappconst__def,axiom,
% 0.26/0.57 ( uSubst1559070963pconst
% 0.26/0.57 = ( ^ [Sigma: produc1418842292n_game,U: set_variable,F2: char] :
% 0.26/0.57 ( case_o487727941rm_trm @ ( some_trm @ ( const @ F2 ) )
% 0.26/0.57 @ ^ [R: trm] :
% 0.26/0.57 ( if_option_trm
% 0.26/0.57 @ ( ( inf_inf_set_variable @ ( static_FVT @ R ) @ U )
% 0.26/0.57 = bot_bot_set_variable )
% 0.26/0.57 @ ( some_trm @ R )
% 0.26/0.57 @ none_trm )
% 0.26/0.57 @ ( produc866613687on_trm
% 0.26/0.57 @ ^ [F0: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
% 0.26/0.57 @ Sigma
% 0.26/0.57 @ F2 ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % usappconst_def
% 0.26/0.57 thf(fact_6_f1,axiom,
% 0.26/0.57 ( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
% 0.26/0.57 = ( case_o487727941rm_trm @ ( some_trm @ ( const @ f ) )
% 0.26/0.57 @ ^ [T: trm] :
% 0.26/0.57 ( if_option_trm
% 0.26/0.57 @ ( ( inf_inf_set_variable @ ( static_FVT @ T ) @ u )
% 0.26/0.57 = bot_bot_set_variable )
% 0.26/0.57 @ ( some_trm @ T )
% 0.26/0.57 @ none_trm )
% 0.26/0.57 @ ( produc866613687on_trm
% 0.26/0.57 @ ^ [F0: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
% 0.26/0.57 @ sigma
% 0.26/0.57 @ f ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % f1
% 0.26/0.57 thf(fact_7_usubstappt_Osimps_I3_J,axiom,
% 0.26/0.57 ! [Sigma2: produc1418842292n_game,U2: set_variable,F3: char] :
% 0.26/0.57 ( ( uSubst516392818stappt @ Sigma2 @ U2 @ ( const @ F3 ) )
% 0.26/0.57 = ( uSubst1559070963pconst @ Sigma2 @ U2 @ F3 ) ) ).
% 0.26/0.57
% 0.26/0.57 % usubstappt.simps(3)
% 0.26/0.57 thf(fact_8_undeft__None,axiom,
% 0.26/0.57 none_trm = none_trm ).
% 0.26/0.57
% 0.26/0.57 % undeft_None
% 0.26/0.57 thf(fact_9__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_A_Iif_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_AAterm_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_Aelse_Aundeft_J_A_061_Ausappconst_A_092_060sigma_062_AV_Af_092_060close_062,axiom,
% 0.26/0.57 ( ( ( produc866613687on_trm
% 0.26/0.57 @ ^ [F0: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
% 0.26/0.57 @ sigma
% 0.26/0.57 @ f )
% 0.26/0.57 != none_trm )
% 0.26/0.57 => ( ( ( ( inf_inf_set_variable
% 0.26/0.57 @ ( static_FVT
% 0.26/0.57 @ ( the_trm
% 0.26/0.57 @ ( produc866613687on_trm
% 0.26/0.57 @ ^ [F0: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
% 0.26/0.57 @ sigma
% 0.26/0.57 @ f ) ) )
% 0.26/0.57 @ v )
% 0.26/0.57 = bot_bot_set_variable )
% 0.26/0.57 => ( ( some_trm
% 0.26/0.57 @ ( the_trm
% 0.26/0.57 @ ( produc866613687on_trm
% 0.26/0.57 @ ^ [F0: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
% 0.26/0.57 @ sigma
% 0.26/0.57 @ f ) ) )
% 0.26/0.57 = ( uSubst1559070963pconst @ sigma @ v @ f ) ) )
% 0.26/0.57 & ( ( ( inf_inf_set_variable
% 0.26/0.57 @ ( static_FVT
% 0.26/0.57 @ ( the_trm
% 0.26/0.57 @ ( produc866613687on_trm
% 0.26/0.57 @ ^ [F0: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
% 0.26/0.57 @ sigma
% 0.26/0.57 @ f ) ) )
% 0.26/0.57 @ v )
% 0.26/0.57 != bot_bot_set_variable )
% 0.26/0.57 => ( none_trm
% 0.26/0.57 = ( uSubst1559070963pconst @ sigma @ v @ f ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % \<open>SConst \<sigma> f \<noteq> undeft \<longrightarrow> (if FVT (the (SConst \<sigma> f)) \<inter> V = {} then Aterm (the (SConst \<sigma> f)) else undeft) = usappconst \<sigma> V f\<close>
% 0.26/0.57 thf(fact_10__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_A_Iif_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AU_A_061_A_123_125_Athen_AAterm_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_Aelse_Aundeft_J_A_061_Ausappconst_A_092_060sigma_062_AU_Af_092_060close_062,axiom,
% 0.26/0.57 ( ( ( produc866613687on_trm
% 0.26/0.57 @ ^ [F0: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
% 0.26/0.57 @ sigma
% 0.26/0.57 @ f )
% 0.26/0.57 != none_trm )
% 0.26/0.57 => ( ( ( ( inf_inf_set_variable
% 0.26/0.57 @ ( static_FVT
% 0.26/0.57 @ ( the_trm
% 0.26/0.57 @ ( produc866613687on_trm
% 0.26/0.57 @ ^ [F0: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
% 0.26/0.57 @ sigma
% 0.26/0.57 @ f ) ) )
% 0.26/0.57 @ u )
% 0.26/0.57 = bot_bot_set_variable )
% 0.26/0.57 => ( ( some_trm
% 0.26/0.57 @ ( the_trm
% 0.26/0.57 @ ( produc866613687on_trm
% 0.26/0.57 @ ^ [F0: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
% 0.26/0.57 @ sigma
% 0.26/0.57 @ f ) ) )
% 0.26/0.57 = ( uSubst1559070963pconst @ sigma @ u @ f ) ) )
% 0.26/0.57 & ( ( ( inf_inf_set_variable
% 0.26/0.57 @ ( static_FVT
% 0.26/0.57 @ ( the_trm
% 0.26/0.57 @ ( produc866613687on_trm
% 0.26/0.57 @ ^ [F0: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
% 0.26/0.57 @ sigma
% 0.26/0.57 @ f ) ) )
% 0.26/0.57 @ u )
% 0.26/0.57 != bot_bot_set_variable )
% 0.26/0.57 => ( none_trm
% 0.26/0.57 = ( uSubst1559070963pconst @ sigma @ u @ f ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % \<open>SConst \<sigma> f \<noteq> undeft \<longrightarrow> (if FVT (the (SConst \<sigma> f)) \<inter> U = {} then Aterm (the (SConst \<sigma> f)) else undeft) = usappconst \<sigma> U f\<close>
% 0.26/0.57 thf(fact_11_trm_Oinject_I3_J,axiom,
% 0.26/0.57 ! [X3: char,Y3: char] :
% 0.26/0.57 ( ( ( const @ X3 )
% 0.26/0.57 = ( const @ Y3 ) )
% 0.26/0.57 = ( X3 = Y3 ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.inject(3)
% 0.26/0.57 thf(fact_12_case__prod__app,axiom,
% 0.26/0.57 ( produc1250175341on_fml
% 0.26/0.57 = ( ^ [F2: ( char > option_trm ) > produc62062515n_game > char > option_fml,X: produc1418842292n_game,Y: char] :
% 0.26/0.57 ( produc1499310791on_fml
% 0.26/0.57 @ ^ [L: char > option_trm,R: produc62062515n_game] : ( F2 @ L @ R @ Y )
% 0.26/0.57 @ X ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % case_prod_app
% 0.26/0.57 thf(fact_13_case__prod__app,axiom,
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 = ( ^ [F2: ( char > option_trm ) > produc799602994n_game > char > option_trm,X: produc62062515n_game,Y: char] :
% 0.26/0.57 ( produc692578258on_trm
% 0.26/0.57 @ ^ [L: char > option_trm,R: produc799602994n_game] : ( F2 @ L @ R @ Y )
% 0.26/0.57 @ X ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % case_prod_app
% 0.26/0.57 thf(fact_14_case__prod__app,axiom,
% 0.26/0.57 ( produc1615133358on_fml
% 0.26/0.57 = ( ^ [F2: ( char > option_trm ) > produc799602994n_game > char > option_fml,X: produc62062515n_game,Y: char] :
% 0.26/0.57 ( produc154833544on_fml
% 0.26/0.57 @ ^ [L: char > option_trm,R: produc799602994n_game] : ( F2 @ L @ R @ Y )
% 0.26/0.57 @ X ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % case_prod_app
% 0.26/0.57 thf(fact_15_case__prod__app,axiom,
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 = ( ^ [F2: ( char > option_fml ) > ( char > option_game ) > char > option_trm,X: produc799602994n_game,Y: char] :
% 0.26/0.57 ( produc885547027on_trm
% 0.26/0.57 @ ^ [L: char > option_fml,R: char > option_game] : ( F2 @ L @ R @ Y )
% 0.26/0.57 @ X ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % case_prod_app
% 0.26/0.57 thf(fact_16_case__prod__app,axiom,
% 0.26/0.57 ( produc1420172399on_fml
% 0.26/0.57 = ( ^ [F2: ( char > option_fml ) > ( char > option_game ) > char > option_fml,X: produc799602994n_game,Y: char] :
% 0.26/0.57 ( produc347802313on_fml
% 0.26/0.57 @ ^ [L: char > option_fml,R: char > option_game] : ( F2 @ L @ R @ Y )
% 0.26/0.57 @ X ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % case_prod_app
% 0.26/0.57 thf(fact_17_usubstappt__const,axiom,
% 0.26/0.57 ! [Sigma2: produc1418842292n_game,F3: char,R2: trm,U2: set_variable] :
% 0.26/0.57 ( ( ( produc866613687on_trm
% 0.26/0.57 @ ^ [F0: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
% 0.26/0.57 @ Sigma2
% 0.26/0.57 @ F3 )
% 0.26/0.57 = ( some_trm @ R2 ) )
% 0.26/0.57 => ( ( ( inf_inf_set_variable @ ( static_FVT @ R2 ) @ U2 )
% 0.26/0.57 = bot_bot_set_variable )
% 0.26/0.57 => ( ( uSubst516392818stappt @ Sigma2 @ U2 @ ( const @ F3 ) )
% 0.26/0.57 = ( some_trm @ R2 ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % usubstappt_const
% 0.26/0.57 thf(fact_18_usubstappt__const__conv,axiom,
% 0.26/0.57 ! [Sigma2: produc1418842292n_game,U2: set_variable,F3: char] :
% 0.26/0.57 ( ( ( uSubst516392818stappt @ Sigma2 @ U2 @ ( const @ F3 ) )
% 0.26/0.57 != none_trm )
% 0.26/0.57 => ( ( ( produc866613687on_trm
% 0.26/0.57 @ ^ [F0: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
% 0.26/0.57 @ Sigma2
% 0.26/0.57 @ F3 )
% 0.26/0.57 = none_trm )
% 0.26/0.57 | ? [R3: trm] :
% 0.26/0.57 ( ( ( produc866613687on_trm
% 0.26/0.57 @ ^ [F0: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
% 0.26/0.57 @ Sigma2
% 0.26/0.57 @ F3 )
% 0.26/0.57 = ( some_trm @ R3 ) )
% 0.26/0.57 & ( ( inf_inf_set_variable @ ( static_FVT @ R3 ) @ U2 )
% 0.26/0.57 = bot_bot_set_variable ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % usubstappt_const_conv
% 0.26/0.57 thf(fact_19_usappconst__simp,axiom,
% 0.26/0.57 ! [Sigma2: produc1418842292n_game,F3: char,R2: trm,U2: set_variable] :
% 0.26/0.57 ( ( ( produc866613687on_trm
% 0.26/0.57 @ ^ [F0: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
% 0.26/0.57 @ Sigma2
% 0.26/0.57 @ F3 )
% 0.26/0.57 = ( some_trm @ R2 ) )
% 0.26/0.57 => ( ( ( inf_inf_set_variable @ ( static_FVT @ R2 ) @ U2 )
% 0.26/0.57 = bot_bot_set_variable )
% 0.26/0.57 => ( ( uSubst1559070963pconst @ Sigma2 @ U2 @ F3 )
% 0.26/0.57 = ( some_trm @ R2 ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % usappconst_simp
% 0.26/0.57 thf(fact_20_usappconst__conv,axiom,
% 0.26/0.57 ! [Sigma2: produc1418842292n_game,U2: set_variable,F3: char] :
% 0.26/0.57 ( ( ( uSubst1559070963pconst @ Sigma2 @ U2 @ F3 )
% 0.26/0.57 != none_trm )
% 0.26/0.57 => ( ( ( produc866613687on_trm
% 0.26/0.57 @ ^ [F0: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
% 0.26/0.57 @ Sigma2
% 0.26/0.57 @ F3 )
% 0.26/0.57 = none_trm )
% 0.26/0.57 | ? [R3: trm] :
% 0.26/0.57 ( ( ( produc866613687on_trm
% 0.26/0.57 @ ^ [F0: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
% 0.26/0.57 @ Sigma2
% 0.26/0.57 @ F3 )
% 0.26/0.57 = ( some_trm @ R3 ) )
% 0.26/0.57 & ( ( inf_inf_set_variable @ ( static_FVT @ R3 ) @ U2 )
% 0.26/0.57 = bot_bot_set_variable ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % usappconst_conv
% 0.26/0.57 thf(fact_21_ODEo_Oinduct,axiom,
% 0.26/0.57 ! [P: char > option_trm > $o,A0: char,A1: option_trm] :
% 0.26/0.57 ( ! [X2: char,Theta: trm] : ( P @ X2 @ ( some_trm @ Theta ) )
% 0.26/0.57 => ( ! [X2: char] : ( P @ X2 @ none_trm )
% 0.26/0.57 => ( P @ A0 @ A1 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % ODEo.induct
% 0.26/0.57 thf(fact_22_undeft__equiv,axiom,
% 0.26/0.57 ! [Theta2: option_trm] :
% 0.26/0.57 ( ( Theta2 != none_trm )
% 0.26/0.57 = ( ? [T: trm] :
% 0.26/0.57 ( Theta2
% 0.26/0.57 = ( some_trm @ T ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % undeft_equiv
% 0.26/0.57 thf(fact_23_Timeso_Oinduct,axiom,
% 0.26/0.57 ! [P: option_trm > option_trm > $o,A0: option_trm,A1: option_trm] :
% 0.26/0.57 ( ! [Theta: trm,Eta: trm] : ( P @ ( some_trm @ Theta ) @ ( some_trm @ Eta ) )
% 0.26/0.57 => ( ! [X_1: option_trm] : ( P @ none_trm @ X_1 )
% 0.26/0.57 => ( ! [V: trm] : ( P @ ( some_trm @ V ) @ none_trm )
% 0.26/0.57 => ( P @ A0 @ A1 ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Timeso.induct
% 0.26/0.57 thf(fact_24_Assigno_Oinduct,axiom,
% 0.26/0.57 ! [P: variable > option_trm > $o,A0: variable,A1: option_trm] :
% 0.26/0.57 ( ! [X2: variable,Theta: trm] : ( P @ X2 @ ( some_trm @ Theta ) )
% 0.26/0.57 => ( ! [X2: variable] : ( P @ X2 @ none_trm )
% 0.26/0.57 => ( P @ A0 @ A1 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Assigno.induct
% 0.26/0.57 thf(fact_25_Aterm__Some,axiom,
% 0.26/0.57 some_trm = some_trm ).
% 0.26/0.57
% 0.26/0.57 % Aterm_Some
% 0.26/0.57 thf(fact_26_Differentialo_Oinduct,axiom,
% 0.26/0.57 ! [P: option_trm > $o,A0: option_trm] :
% 0.26/0.57 ( ! [Theta: trm] : ( P @ ( some_trm @ Theta ) )
% 0.26/0.57 => ( ( P @ none_trm )
% 0.26/0.57 => ( P @ A0 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Differentialo.induct
% 0.26/0.57 thf(fact_27_Differentialo_Ocases,axiom,
% 0.26/0.57 ! [X4: option_trm] :
% 0.26/0.57 ( ! [Theta: trm] :
% 0.26/0.57 ( X4
% 0.26/0.57 != ( some_trm @ Theta ) )
% 0.26/0.57 => ( X4 = none_trm ) ) ).
% 0.26/0.57
% 0.26/0.57 % Differentialo.cases
% 0.26/0.57 thf(fact_28_option_Ocollapse,axiom,
% 0.26/0.57 ! [Option: option_trm] :
% 0.26/0.57 ( ( Option != none_trm )
% 0.26/0.57 => ( ( some_trm @ ( the_trm @ Option ) )
% 0.26/0.57 = Option ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.collapse
% 0.26/0.57 thf(fact_29_option_Ocollapse,axiom,
% 0.26/0.57 ! [Option: option_fml] :
% 0.26/0.57 ( ( Option != none_fml )
% 0.26/0.57 => ( ( some_fml @ ( the_fml @ Option ) )
% 0.26/0.57 = Option ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.collapse
% 0.26/0.57 thf(fact_30_option_Ocollapse,axiom,
% 0.26/0.57 ! [Option: option_game] :
% 0.26/0.57 ( ( Option != none_game )
% 0.26/0.57 => ( ( some_game @ ( the_game @ Option ) )
% 0.26/0.57 = Option ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.collapse
% 0.26/0.57 thf(fact_31_not__Some__eq,axiom,
% 0.26/0.57 ! [X4: option_trm] :
% 0.26/0.57 ( ( ! [Y: trm] :
% 0.26/0.57 ( X4
% 0.26/0.57 != ( some_trm @ Y ) ) )
% 0.26/0.57 = ( X4 = none_trm ) ) ).
% 0.26/0.57
% 0.26/0.57 % not_Some_eq
% 0.26/0.57 thf(fact_32_not__Some__eq,axiom,
% 0.26/0.57 ! [X4: option_fml] :
% 0.26/0.57 ( ( ! [Y: fml] :
% 0.26/0.57 ( X4
% 0.26/0.57 != ( some_fml @ Y ) ) )
% 0.26/0.57 = ( X4 = none_fml ) ) ).
% 0.26/0.57
% 0.26/0.57 % not_Some_eq
% 0.26/0.57 thf(fact_33_not__Some__eq,axiom,
% 0.26/0.57 ! [X4: option_game] :
% 0.26/0.57 ( ( ! [Y: game] :
% 0.26/0.57 ( X4
% 0.26/0.57 != ( some_game @ Y ) ) )
% 0.26/0.57 = ( X4 = none_game ) ) ).
% 0.26/0.57
% 0.26/0.57 % not_Some_eq
% 0.26/0.57 thf(fact_34_not__None__eq,axiom,
% 0.26/0.57 ! [X4: option_trm] :
% 0.26/0.57 ( ( X4 != none_trm )
% 0.26/0.57 = ( ? [Y: trm] :
% 0.26/0.57 ( X4
% 0.26/0.57 = ( some_trm @ Y ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % not_None_eq
% 0.26/0.57 thf(fact_35_not__None__eq,axiom,
% 0.26/0.57 ! [X4: option_fml] :
% 0.26/0.57 ( ( X4 != none_fml )
% 0.26/0.57 = ( ? [Y: fml] :
% 0.26/0.57 ( X4
% 0.26/0.57 = ( some_fml @ Y ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % not_None_eq
% 0.26/0.57 thf(fact_36_not__None__eq,axiom,
% 0.26/0.57 ! [X4: option_game] :
% 0.26/0.57 ( ( X4 != none_game )
% 0.26/0.57 = ( ? [Y: game] :
% 0.26/0.57 ( X4
% 0.26/0.57 = ( some_game @ Y ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % not_None_eq
% 0.26/0.57 thf(fact_37_inf__bot__left,axiom,
% 0.26/0.57 ! [X4: set_variable] :
% 0.26/0.57 ( ( inf_inf_set_variable @ bot_bot_set_variable @ X4 )
% 0.26/0.57 = bot_bot_set_variable ) ).
% 0.26/0.57
% 0.26/0.57 % inf_bot_left
% 0.26/0.57 thf(fact_38_inf__bot__right,axiom,
% 0.26/0.57 ! [X4: set_variable] :
% 0.26/0.57 ( ( inf_inf_set_variable @ X4 @ bot_bot_set_variable )
% 0.26/0.57 = bot_bot_set_variable ) ).
% 0.26/0.57
% 0.26/0.57 % inf_bot_right
% 0.26/0.57 thf(fact_39_usubstappt__func2,axiom,
% 0.26/0.57 ! [Sigma2: produc1418842292n_game,F3: char,R2: trm,U2: set_variable,Theta2: trm] :
% 0.26/0.57 ( ( ( produc866613687on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [F4: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F4 ) )
% 0.26/0.57 @ Sigma2
% 0.26/0.57 @ F3 )
% 0.26/0.57 = ( some_trm @ R2 ) )
% 0.26/0.57 => ( ( ( inf_inf_set_variable @ ( static_FVT @ R2 ) @ U2 )
% 0.26/0.57 != bot_bot_set_variable )
% 0.26/0.57 => ( ( uSubst516392818stappt @ Sigma2 @ U2 @ ( func @ F3 @ Theta2 ) )
% 0.26/0.57 = none_trm ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % usubstappt_func2
% 0.26/0.57 thf(fact_40_option_Osplit__sel__asm,axiom,
% 0.26/0.57 ! [P: option_trm > $o,F1: option_trm,F22: trm > option_trm,Option: option_trm] :
% 0.26/0.57 ( ( P @ ( case_o487727941rm_trm @ F1 @ F22 @ Option ) )
% 0.26/0.57 = ( ~ ( ( ( Option = none_trm )
% 0.26/0.57 & ~ ( P @ F1 ) )
% 0.26/0.57 | ( ( Option
% 0.26/0.57 = ( some_trm @ ( the_trm @ Option ) ) )
% 0.26/0.57 & ~ ( P @ ( F22 @ ( the_trm @ Option ) ) ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.split_sel_asm
% 0.26/0.57 thf(fact_41_option_Osplit__sel,axiom,
% 0.26/0.57 ! [P: option_trm > $o,F1: option_trm,F22: trm > option_trm,Option: option_trm] :
% 0.26/0.57 ( ( P @ ( case_o487727941rm_trm @ F1 @ F22 @ Option ) )
% 0.26/0.57 = ( ( ( Option = none_trm )
% 0.26/0.57 => ( P @ F1 ) )
% 0.26/0.57 & ( ( Option
% 0.26/0.57 = ( some_trm @ ( the_trm @ Option ) ) )
% 0.26/0.57 => ( P @ ( F22 @ ( the_trm @ Option ) ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.split_sel
% 0.26/0.57 thf(fact_42_usubstappt__func__conv,axiom,
% 0.26/0.57 ! [Sigma2: produc1418842292n_game,U2: set_variable,F3: char,Theta2: trm] :
% 0.26/0.57 ( ( ( uSubst516392818stappt @ Sigma2 @ U2 @ ( func @ F3 @ Theta2 ) )
% 0.26/0.57 != none_trm )
% 0.26/0.57 => ( ( ( uSubst516392818stappt @ Sigma2 @ U2 @ Theta2 )
% 0.26/0.57 != none_trm )
% 0.26/0.57 & ( ( ( produc866613687on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [F4: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F4 ) )
% 0.26/0.57 @ Sigma2
% 0.26/0.57 @ F3 )
% 0.26/0.57 = none_trm )
% 0.26/0.57 | ? [R3: trm] :
% 0.26/0.57 ( ( ( produc866613687on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [F4: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F4 ) )
% 0.26/0.57 @ Sigma2
% 0.26/0.57 @ F3 )
% 0.26/0.57 = ( some_trm @ R3 ) )
% 0.26/0.57 & ( ( inf_inf_set_variable @ ( static_FVT @ R3 ) @ U2 )
% 0.26/0.57 = bot_bot_set_variable ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % usubstappt_func_conv
% 0.26/0.57 thf(fact_43_option_Ocase__eq__if,axiom,
% 0.26/0.57 ( case_o487727941rm_trm
% 0.26/0.57 = ( ^ [F12: option_trm,F23: trm > option_trm,Option2: option_trm] : ( if_option_trm @ ( Option2 = none_trm ) @ F12 @ ( F23 @ ( the_trm @ Option2 ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.case_eq_if
% 0.26/0.57 thf(fact_44_inf__right__idem,axiom,
% 0.26/0.57 ! [X4: set_variable,Y2: set_variable] :
% 0.26/0.57 ( ( inf_inf_set_variable @ ( inf_inf_set_variable @ X4 @ Y2 ) @ Y2 )
% 0.26/0.57 = ( inf_inf_set_variable @ X4 @ Y2 ) ) ).
% 0.26/0.57
% 0.26/0.57 % inf_right_idem
% 0.26/0.57 thf(fact_45_inf_Oright__idem,axiom,
% 0.26/0.57 ! [A: set_variable,B: set_variable] :
% 0.26/0.57 ( ( inf_inf_set_variable @ ( inf_inf_set_variable @ A @ B ) @ B )
% 0.26/0.57 = ( inf_inf_set_variable @ A @ B ) ) ).
% 0.26/0.57
% 0.26/0.57 % inf.right_idem
% 0.26/0.57 thf(fact_46_inf__left__idem,axiom,
% 0.26/0.57 ! [X4: set_variable,Y2: set_variable] :
% 0.26/0.57 ( ( inf_inf_set_variable @ X4 @ ( inf_inf_set_variable @ X4 @ Y2 ) )
% 0.26/0.57 = ( inf_inf_set_variable @ X4 @ Y2 ) ) ).
% 0.26/0.57
% 0.26/0.57 % inf_left_idem
% 0.26/0.57 thf(fact_47_inf_Oleft__idem,axiom,
% 0.26/0.57 ! [A: set_variable,B: set_variable] :
% 0.26/0.57 ( ( inf_inf_set_variable @ A @ ( inf_inf_set_variable @ A @ B ) )
% 0.26/0.57 = ( inf_inf_set_variable @ A @ B ) ) ).
% 0.26/0.57
% 0.26/0.57 % inf.left_idem
% 0.26/0.57 thf(fact_48_inf__idem,axiom,
% 0.26/0.57 ! [X4: set_variable] :
% 0.26/0.57 ( ( inf_inf_set_variable @ X4 @ X4 )
% 0.26/0.57 = X4 ) ).
% 0.26/0.57
% 0.26/0.57 % inf_idem
% 0.26/0.57 thf(fact_49_inf_Oidem,axiom,
% 0.26/0.57 ! [A: set_variable] :
% 0.26/0.57 ( ( inf_inf_set_variable @ A @ A )
% 0.26/0.57 = A ) ).
% 0.26/0.57
% 0.26/0.57 % inf.idem
% 0.26/0.57 thf(fact_50_option_Oinject,axiom,
% 0.26/0.57 ! [X22: trm,Y22: trm] :
% 0.26/0.57 ( ( ( some_trm @ X22 )
% 0.26/0.57 = ( some_trm @ Y22 ) )
% 0.26/0.57 = ( X22 = Y22 ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.inject
% 0.26/0.57 thf(fact_51_option_Oinject,axiom,
% 0.26/0.57 ! [X22: fml,Y22: fml] :
% 0.26/0.57 ( ( ( some_fml @ X22 )
% 0.26/0.57 = ( some_fml @ Y22 ) )
% 0.26/0.57 = ( X22 = Y22 ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.inject
% 0.26/0.57 thf(fact_52_option_Oinject,axiom,
% 0.26/0.57 ! [X22: game,Y22: game] :
% 0.26/0.57 ( ( ( some_game @ X22 )
% 0.26/0.57 = ( some_game @ Y22 ) )
% 0.26/0.57 = ( X22 = Y22 ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.inject
% 0.26/0.57 thf(fact_53_trm_Oinject_I4_J,axiom,
% 0.26/0.57 ! [X41: char,X42: trm,Y41: char,Y42: trm] :
% 0.26/0.57 ( ( ( func @ X41 @ X42 )
% 0.26/0.57 = ( func @ Y41 @ Y42 ) )
% 0.26/0.57 = ( ( X41 = Y41 )
% 0.26/0.57 & ( X42 = Y42 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.inject(4)
% 0.26/0.57 thf(fact_54_option_Odisc__eq__case_I2_J,axiom,
% 0.26/0.57 ! [Option: option_trm] :
% 0.26/0.57 ( ( Option != none_trm )
% 0.26/0.57 = ( case_option_o_trm @ $false
% 0.26/0.57 @ ^ [Uu: trm] : $true
% 0.26/0.57 @ Option ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.disc_eq_case(2)
% 0.26/0.57 thf(fact_55_option_Odisc__eq__case_I2_J,axiom,
% 0.26/0.57 ! [Option: option_fml] :
% 0.26/0.57 ( ( Option != none_fml )
% 0.26/0.57 = ( case_option_o_fml @ $false
% 0.26/0.57 @ ^ [Uu: fml] : $true
% 0.26/0.57 @ Option ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.disc_eq_case(2)
% 0.26/0.57 thf(fact_56_option_Odisc__eq__case_I2_J,axiom,
% 0.26/0.57 ! [Option: option_game] :
% 0.26/0.57 ( ( Option != none_game )
% 0.26/0.57 = ( case_option_o_game @ $false
% 0.26/0.57 @ ^ [Uu: game] : $true
% 0.26/0.57 @ Option ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.disc_eq_case(2)
% 0.26/0.57 thf(fact_57_option_Odisc__eq__case_I1_J,axiom,
% 0.26/0.57 ! [Option: option_trm] :
% 0.26/0.57 ( ( Option = none_trm )
% 0.26/0.57 = ( case_option_o_trm @ $true
% 0.26/0.57 @ ^ [Uu: trm] : $false
% 0.26/0.57 @ Option ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.disc_eq_case(1)
% 0.26/0.57 thf(fact_58_option_Odisc__eq__case_I1_J,axiom,
% 0.26/0.57 ! [Option: option_fml] :
% 0.26/0.57 ( ( Option = none_fml )
% 0.26/0.57 = ( case_option_o_fml @ $true
% 0.26/0.57 @ ^ [Uu: fml] : $false
% 0.26/0.57 @ Option ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.disc_eq_case(1)
% 0.26/0.57 thf(fact_59_option_Odisc__eq__case_I1_J,axiom,
% 0.26/0.57 ! [Option: option_game] :
% 0.26/0.57 ( ( Option = none_game )
% 0.26/0.57 = ( case_option_o_game @ $true
% 0.26/0.57 @ ^ [Uu: game] : $false
% 0.26/0.57 @ Option ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.disc_eq_case(1)
% 0.26/0.57 thf(fact_60_mem__Collect__eq,axiom,
% 0.26/0.57 ! [A: variable,P: variable > $o] :
% 0.26/0.57 ( ( member_variable @ A @ ( collect_variable @ P ) )
% 0.26/0.57 = ( P @ A ) ) ).
% 0.26/0.57
% 0.26/0.57 % mem_Collect_eq
% 0.26/0.57 thf(fact_61_mem__Collect__eq,axiom,
% 0.26/0.57 ! [A: char,P: char > $o] :
% 0.26/0.57 ( ( member_char @ A @ ( collect_char @ P ) )
% 0.26/0.57 = ( P @ A ) ) ).
% 0.26/0.57
% 0.26/0.57 % mem_Collect_eq
% 0.26/0.57 thf(fact_62_Collect__mem__eq,axiom,
% 0.26/0.57 ! [A2: set_variable] :
% 0.26/0.57 ( ( collect_variable
% 0.26/0.57 @ ^ [X: variable] : ( member_variable @ X @ A2 ) )
% 0.26/0.57 = A2 ) ).
% 0.26/0.57
% 0.26/0.57 % Collect_mem_eq
% 0.26/0.57 thf(fact_63_Collect__mem__eq,axiom,
% 0.26/0.57 ! [A2: set_char] :
% 0.26/0.57 ( ( collect_char
% 0.26/0.57 @ ^ [X: char] : ( member_char @ X @ A2 ) )
% 0.26/0.57 = A2 ) ).
% 0.26/0.57
% 0.26/0.57 % Collect_mem_eq
% 0.26/0.57 thf(fact_64_Collect__cong,axiom,
% 0.26/0.57 ! [P: variable > $o,Q: variable > $o] :
% 0.26/0.57 ( ! [X2: variable] :
% 0.26/0.57 ( ( P @ X2 )
% 0.26/0.57 = ( Q @ X2 ) )
% 0.26/0.57 => ( ( collect_variable @ P )
% 0.26/0.57 = ( collect_variable @ Q ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Collect_cong
% 0.26/0.57 thf(fact_65_Collect__cong,axiom,
% 0.26/0.57 ! [P: char > $o,Q: char > $o] :
% 0.26/0.57 ( ! [X2: char] :
% 0.26/0.57 ( ( P @ X2 )
% 0.26/0.57 = ( Q @ X2 ) )
% 0.26/0.57 => ( ( collect_char @ P )
% 0.26/0.57 = ( collect_char @ Q ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Collect_cong
% 0.26/0.57 thf(fact_66_trm_Odistinct_I23_J,axiom,
% 0.26/0.57 ! [X3: char,X41: char,X42: trm] :
% 0.26/0.57 ( ( const @ X3 )
% 0.26/0.57 != ( func @ X41 @ X42 ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.distinct(23)
% 0.26/0.57 thf(fact_67_case__optionE,axiom,
% 0.26/0.57 ! [P: $o,Q: trm > $o,X4: option_trm] :
% 0.26/0.57 ( ( case_option_o_trm @ P @ Q @ X4 )
% 0.26/0.57 => ( ( ( X4 = none_trm )
% 0.26/0.57 => ~ P )
% 0.26/0.57 => ~ ! [Y4: trm] :
% 0.26/0.57 ( ( X4
% 0.26/0.57 = ( some_trm @ Y4 ) )
% 0.26/0.57 => ~ ( Q @ Y4 ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % case_optionE
% 0.26/0.57 thf(fact_68_case__optionE,axiom,
% 0.26/0.57 ! [P: $o,Q: fml > $o,X4: option_fml] :
% 0.26/0.57 ( ( case_option_o_fml @ P @ Q @ X4 )
% 0.26/0.57 => ( ( ( X4 = none_fml )
% 0.26/0.57 => ~ P )
% 0.26/0.57 => ~ ! [Y4: fml] :
% 0.26/0.57 ( ( X4
% 0.26/0.57 = ( some_fml @ Y4 ) )
% 0.26/0.57 => ~ ( Q @ Y4 ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % case_optionE
% 0.26/0.57 thf(fact_69_case__optionE,axiom,
% 0.26/0.57 ! [P: $o,Q: game > $o,X4: option_game] :
% 0.26/0.57 ( ( case_option_o_game @ P @ Q @ X4 )
% 0.26/0.57 => ( ( ( X4 = none_game )
% 0.26/0.57 => ~ P )
% 0.26/0.57 => ~ ! [Y4: game] :
% 0.26/0.57 ( ( X4
% 0.26/0.57 = ( some_game @ Y4 ) )
% 0.26/0.57 => ~ ( Q @ Y4 ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % case_optionE
% 0.26/0.57 thf(fact_70_inf__left__commute,axiom,
% 0.26/0.57 ! [X4: set_variable,Y2: set_variable,Z2: set_variable] :
% 0.26/0.57 ( ( inf_inf_set_variable @ X4 @ ( inf_inf_set_variable @ Y2 @ Z2 ) )
% 0.26/0.57 = ( inf_inf_set_variable @ Y2 @ ( inf_inf_set_variable @ X4 @ Z2 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % inf_left_commute
% 0.26/0.57 thf(fact_71_inf_Oleft__commute,axiom,
% 0.26/0.57 ! [B: set_variable,A: set_variable,C: set_variable] :
% 0.26/0.57 ( ( inf_inf_set_variable @ B @ ( inf_inf_set_variable @ A @ C ) )
% 0.26/0.57 = ( inf_inf_set_variable @ A @ ( inf_inf_set_variable @ B @ C ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % inf.left_commute
% 0.26/0.57 thf(fact_72_inf__commute,axiom,
% 0.26/0.57 ( inf_inf_set_variable
% 0.26/0.57 = ( ^ [X: set_variable,Y: set_variable] : ( inf_inf_set_variable @ Y @ X ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % inf_commute
% 0.26/0.57 thf(fact_73_inf_Ocommute,axiom,
% 0.26/0.57 ( inf_inf_set_variable
% 0.26/0.57 = ( ^ [A3: set_variable,B2: set_variable] : ( inf_inf_set_variable @ B2 @ A3 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % inf.commute
% 0.26/0.57 thf(fact_74_inf__assoc,axiom,
% 0.26/0.57 ! [X4: set_variable,Y2: set_variable,Z2: set_variable] :
% 0.26/0.57 ( ( inf_inf_set_variable @ ( inf_inf_set_variable @ X4 @ Y2 ) @ Z2 )
% 0.26/0.57 = ( inf_inf_set_variable @ X4 @ ( inf_inf_set_variable @ Y2 @ Z2 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % inf_assoc
% 0.26/0.57 thf(fact_75_inf_Oassoc,axiom,
% 0.26/0.57 ! [A: set_variable,B: set_variable,C: set_variable] :
% 0.26/0.57 ( ( inf_inf_set_variable @ ( inf_inf_set_variable @ A @ B ) @ C )
% 0.26/0.57 = ( inf_inf_set_variable @ A @ ( inf_inf_set_variable @ B @ C ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % inf.assoc
% 0.26/0.57 thf(fact_76_boolean__algebra__cancel_Oinf2,axiom,
% 0.26/0.57 ! [B3: set_variable,K: set_variable,B: set_variable,A: set_variable] :
% 0.26/0.57 ( ( B3
% 0.26/0.57 = ( inf_inf_set_variable @ K @ B ) )
% 0.26/0.57 => ( ( inf_inf_set_variable @ A @ B3 )
% 0.26/0.57 = ( inf_inf_set_variable @ K @ ( inf_inf_set_variable @ A @ B ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % boolean_algebra_cancel.inf2
% 0.26/0.57 thf(fact_77_boolean__algebra__cancel_Oinf1,axiom,
% 0.26/0.57 ! [A2: set_variable,K: set_variable,A: set_variable,B: set_variable] :
% 0.26/0.57 ( ( A2
% 0.26/0.57 = ( inf_inf_set_variable @ K @ A ) )
% 0.26/0.57 => ( ( inf_inf_set_variable @ A2 @ B )
% 0.26/0.57 = ( inf_inf_set_variable @ K @ ( inf_inf_set_variable @ A @ B ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % boolean_algebra_cancel.inf1
% 0.26/0.57 thf(fact_78_inf__sup__aci_I1_J,axiom,
% 0.26/0.57 ( inf_inf_set_variable
% 0.26/0.57 = ( ^ [X: set_variable,Y: set_variable] : ( inf_inf_set_variable @ Y @ X ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % inf_sup_aci(1)
% 0.26/0.57 thf(fact_79_inf__sup__aci_I2_J,axiom,
% 0.26/0.57 ! [X4: set_variable,Y2: set_variable,Z2: set_variable] :
% 0.26/0.57 ( ( inf_inf_set_variable @ ( inf_inf_set_variable @ X4 @ Y2 ) @ Z2 )
% 0.26/0.57 = ( inf_inf_set_variable @ X4 @ ( inf_inf_set_variable @ Y2 @ Z2 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % inf_sup_aci(2)
% 0.26/0.57 thf(fact_80_inf__sup__aci_I3_J,axiom,
% 0.26/0.57 ! [X4: set_variable,Y2: set_variable,Z2: set_variable] :
% 0.26/0.57 ( ( inf_inf_set_variable @ X4 @ ( inf_inf_set_variable @ Y2 @ Z2 ) )
% 0.26/0.57 = ( inf_inf_set_variable @ Y2 @ ( inf_inf_set_variable @ X4 @ Z2 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % inf_sup_aci(3)
% 0.26/0.57 thf(fact_81_inf__sup__aci_I4_J,axiom,
% 0.26/0.57 ! [X4: set_variable,Y2: set_variable] :
% 0.26/0.57 ( ( inf_inf_set_variable @ X4 @ ( inf_inf_set_variable @ X4 @ Y2 ) )
% 0.26/0.57 = ( inf_inf_set_variable @ X4 @ Y2 ) ) ).
% 0.26/0.57
% 0.26/0.57 % inf_sup_aci(4)
% 0.26/0.57 thf(fact_82_option_Ocase__distrib,axiom,
% 0.26/0.57 ! [H: option_trm > option_trm,F1: option_trm,F22: trm > option_trm,Option: option_trm] :
% 0.26/0.57 ( ( H @ ( case_o487727941rm_trm @ F1 @ F22 @ Option ) )
% 0.26/0.57 = ( case_o487727941rm_trm @ ( H @ F1 )
% 0.26/0.57 @ ^ [X: trm] : ( H @ ( F22 @ X ) )
% 0.26/0.57 @ Option ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.case_distrib
% 0.26/0.57 thf(fact_83_option_Odistinct_I1_J,axiom,
% 0.26/0.57 ! [X22: trm] :
% 0.26/0.57 ( none_trm
% 0.26/0.57 != ( some_trm @ X22 ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.distinct(1)
% 0.26/0.57 thf(fact_84_option_Odistinct_I1_J,axiom,
% 0.26/0.57 ! [X22: fml] :
% 0.26/0.57 ( none_fml
% 0.26/0.57 != ( some_fml @ X22 ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.distinct(1)
% 0.26/0.57 thf(fact_85_option_Odistinct_I1_J,axiom,
% 0.26/0.57 ! [X22: game] :
% 0.26/0.57 ( none_game
% 0.26/0.57 != ( some_game @ X22 ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.distinct(1)
% 0.26/0.57 thf(fact_86_option_OdiscI,axiom,
% 0.26/0.57 ! [Option: option_trm,X22: trm] :
% 0.26/0.57 ( ( Option
% 0.26/0.57 = ( some_trm @ X22 ) )
% 0.26/0.57 => ( Option != none_trm ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.discI
% 0.26/0.57 thf(fact_87_option_OdiscI,axiom,
% 0.26/0.57 ! [Option: option_fml,X22: fml] :
% 0.26/0.57 ( ( Option
% 0.26/0.57 = ( some_fml @ X22 ) )
% 0.26/0.57 => ( Option != none_fml ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.discI
% 0.26/0.57 thf(fact_88_option_OdiscI,axiom,
% 0.26/0.57 ! [Option: option_game,X22: game] :
% 0.26/0.57 ( ( Option
% 0.26/0.57 = ( some_game @ X22 ) )
% 0.26/0.57 => ( Option != none_game ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.discI
% 0.26/0.57 thf(fact_89_option_Oexhaust,axiom,
% 0.26/0.57 ! [Y2: option_trm] :
% 0.26/0.57 ( ( Y2 != none_trm )
% 0.26/0.57 => ~ ! [X23: trm] :
% 0.26/0.57 ( Y2
% 0.26/0.57 != ( some_trm @ X23 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.exhaust
% 0.26/0.57 thf(fact_90_option_Oexhaust,axiom,
% 0.26/0.57 ! [Y2: option_fml] :
% 0.26/0.57 ( ( Y2 != none_fml )
% 0.26/0.57 => ~ ! [X23: fml] :
% 0.26/0.57 ( Y2
% 0.26/0.57 != ( some_fml @ X23 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.exhaust
% 0.26/0.57 thf(fact_91_option_Oexhaust,axiom,
% 0.26/0.57 ! [Y2: option_game] :
% 0.26/0.57 ( ( Y2 != none_game )
% 0.26/0.57 => ~ ! [X23: game] :
% 0.26/0.57 ( Y2
% 0.26/0.57 != ( some_game @ X23 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.exhaust
% 0.26/0.57 thf(fact_92_option_Oinducts,axiom,
% 0.26/0.57 ! [P: option_trm > $o,Option: option_trm] :
% 0.26/0.57 ( ( P @ none_trm )
% 0.26/0.57 => ( ! [X2: trm] : ( P @ ( some_trm @ X2 ) )
% 0.26/0.57 => ( P @ Option ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.inducts
% 0.26/0.57 thf(fact_93_option_Oinducts,axiom,
% 0.26/0.57 ! [P: option_fml > $o,Option: option_fml] :
% 0.26/0.57 ( ( P @ none_fml )
% 0.26/0.57 => ( ! [X2: fml] : ( P @ ( some_fml @ X2 ) )
% 0.26/0.57 => ( P @ Option ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.inducts
% 0.26/0.57 thf(fact_94_option_Oinducts,axiom,
% 0.26/0.57 ! [P: option_game > $o,Option: option_game] :
% 0.26/0.57 ( ( P @ none_game )
% 0.26/0.57 => ( ! [X2: game] : ( P @ ( some_game @ X2 ) )
% 0.26/0.57 => ( P @ Option ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.inducts
% 0.26/0.57 thf(fact_95_split__option__ex,axiom,
% 0.26/0.57 ( ( ^ [P2: option_trm > $o] :
% 0.26/0.57 ? [X5: option_trm] : ( P2 @ X5 ) )
% 0.26/0.57 = ( ^ [P3: option_trm > $o] :
% 0.26/0.57 ( ( P3 @ none_trm )
% 0.26/0.57 | ? [X: trm] : ( P3 @ ( some_trm @ X ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % split_option_ex
% 0.26/0.57 thf(fact_96_split__option__ex,axiom,
% 0.26/0.57 ( ( ^ [P2: option_fml > $o] :
% 0.26/0.57 ? [X5: option_fml] : ( P2 @ X5 ) )
% 0.26/0.57 = ( ^ [P3: option_fml > $o] :
% 0.26/0.57 ( ( P3 @ none_fml )
% 0.26/0.57 | ? [X: fml] : ( P3 @ ( some_fml @ X ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % split_option_ex
% 0.26/0.57 thf(fact_97_split__option__ex,axiom,
% 0.26/0.57 ( ( ^ [P2: option_game > $o] :
% 0.26/0.57 ? [X5: option_game] : ( P2 @ X5 ) )
% 0.26/0.57 = ( ^ [P3: option_game > $o] :
% 0.26/0.57 ( ( P3 @ none_game )
% 0.26/0.57 | ? [X: game] : ( P3 @ ( some_game @ X ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % split_option_ex
% 0.26/0.57 thf(fact_98_split__option__all,axiom,
% 0.26/0.57 ( ( ^ [P2: option_trm > $o] :
% 0.26/0.57 ! [X5: option_trm] : ( P2 @ X5 ) )
% 0.26/0.57 = ( ^ [P3: option_trm > $o] :
% 0.26/0.57 ( ( P3 @ none_trm )
% 0.26/0.57 & ! [X: trm] : ( P3 @ ( some_trm @ X ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % split_option_all
% 0.26/0.57 thf(fact_99_split__option__all,axiom,
% 0.26/0.57 ( ( ^ [P2: option_fml > $o] :
% 0.26/0.57 ! [X5: option_fml] : ( P2 @ X5 ) )
% 0.26/0.57 = ( ^ [P3: option_fml > $o] :
% 0.26/0.57 ( ( P3 @ none_fml )
% 0.26/0.57 & ! [X: fml] : ( P3 @ ( some_fml @ X ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % split_option_all
% 0.26/0.57 thf(fact_100_split__option__all,axiom,
% 0.26/0.57 ( ( ^ [P2: option_game > $o] :
% 0.26/0.57 ! [X5: option_game] : ( P2 @ X5 ) )
% 0.26/0.57 = ( ^ [P3: option_game > $o] :
% 0.26/0.57 ( ( P3 @ none_game )
% 0.26/0.57 & ! [X: game] : ( P3 @ ( some_game @ X ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % split_option_all
% 0.26/0.57 thf(fact_101_combine__options__cases,axiom,
% 0.26/0.57 ! [X4: option_trm,P: option_trm > option_trm > $o,Y2: option_trm] :
% 0.26/0.57 ( ( ( X4 = none_trm )
% 0.26/0.57 => ( P @ X4 @ Y2 ) )
% 0.26/0.57 => ( ( ( Y2 = none_trm )
% 0.26/0.57 => ( P @ X4 @ Y2 ) )
% 0.26/0.57 => ( ! [A4: trm,B4: trm] :
% 0.26/0.57 ( ( X4
% 0.26/0.57 = ( some_trm @ A4 ) )
% 0.26/0.57 => ( ( Y2
% 0.26/0.57 = ( some_trm @ B4 ) )
% 0.26/0.57 => ( P @ X4 @ Y2 ) ) )
% 0.26/0.57 => ( P @ X4 @ Y2 ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % combine_options_cases
% 0.26/0.57 thf(fact_102_combine__options__cases,axiom,
% 0.26/0.57 ! [X4: option_trm,P: option_trm > option_fml > $o,Y2: option_fml] :
% 0.26/0.57 ( ( ( X4 = none_trm )
% 0.26/0.57 => ( P @ X4 @ Y2 ) )
% 0.26/0.57 => ( ( ( Y2 = none_fml )
% 0.26/0.57 => ( P @ X4 @ Y2 ) )
% 0.26/0.57 => ( ! [A4: trm,B4: fml] :
% 0.26/0.57 ( ( X4
% 0.26/0.57 = ( some_trm @ A4 ) )
% 0.26/0.57 => ( ( Y2
% 0.26/0.57 = ( some_fml @ B4 ) )
% 0.26/0.57 => ( P @ X4 @ Y2 ) ) )
% 0.26/0.57 => ( P @ X4 @ Y2 ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % combine_options_cases
% 0.26/0.57 thf(fact_103_combine__options__cases,axiom,
% 0.26/0.57 ! [X4: option_trm,P: option_trm > option_game > $o,Y2: option_game] :
% 0.26/0.57 ( ( ( X4 = none_trm )
% 0.26/0.57 => ( P @ X4 @ Y2 ) )
% 0.26/0.57 => ( ( ( Y2 = none_game )
% 0.26/0.57 => ( P @ X4 @ Y2 ) )
% 0.26/0.57 => ( ! [A4: trm,B4: game] :
% 0.26/0.57 ( ( X4
% 0.26/0.57 = ( some_trm @ A4 ) )
% 0.26/0.57 => ( ( Y2
% 0.26/0.57 = ( some_game @ B4 ) )
% 0.26/0.57 => ( P @ X4 @ Y2 ) ) )
% 0.26/0.57 => ( P @ X4 @ Y2 ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % combine_options_cases
% 0.26/0.57 thf(fact_104_combine__options__cases,axiom,
% 0.26/0.57 ! [X4: option_fml,P: option_fml > option_trm > $o,Y2: option_trm] :
% 0.26/0.57 ( ( ( X4 = none_fml )
% 0.26/0.57 => ( P @ X4 @ Y2 ) )
% 0.26/0.57 => ( ( ( Y2 = none_trm )
% 0.26/0.57 => ( P @ X4 @ Y2 ) )
% 0.26/0.57 => ( ! [A4: fml,B4: trm] :
% 0.26/0.57 ( ( X4
% 0.26/0.57 = ( some_fml @ A4 ) )
% 0.26/0.57 => ( ( Y2
% 0.26/0.57 = ( some_trm @ B4 ) )
% 0.26/0.57 => ( P @ X4 @ Y2 ) ) )
% 0.26/0.57 => ( P @ X4 @ Y2 ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % combine_options_cases
% 0.26/0.57 thf(fact_105_combine__options__cases,axiom,
% 0.26/0.57 ! [X4: option_fml,P: option_fml > option_fml > $o,Y2: option_fml] :
% 0.26/0.57 ( ( ( X4 = none_fml )
% 0.26/0.57 => ( P @ X4 @ Y2 ) )
% 0.26/0.57 => ( ( ( Y2 = none_fml )
% 0.26/0.57 => ( P @ X4 @ Y2 ) )
% 0.26/0.57 => ( ! [A4: fml,B4: fml] :
% 0.26/0.57 ( ( X4
% 0.26/0.57 = ( some_fml @ A4 ) )
% 0.26/0.57 => ( ( Y2
% 0.26/0.57 = ( some_fml @ B4 ) )
% 0.26/0.57 => ( P @ X4 @ Y2 ) ) )
% 0.26/0.57 => ( P @ X4 @ Y2 ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % combine_options_cases
% 0.26/0.57 thf(fact_106_combine__options__cases,axiom,
% 0.26/0.57 ! [X4: option_fml,P: option_fml > option_game > $o,Y2: option_game] :
% 0.26/0.57 ( ( ( X4 = none_fml )
% 0.26/0.57 => ( P @ X4 @ Y2 ) )
% 0.26/0.57 => ( ( ( Y2 = none_game )
% 0.26/0.57 => ( P @ X4 @ Y2 ) )
% 0.26/0.57 => ( ! [A4: fml,B4: game] :
% 0.26/0.57 ( ( X4
% 0.26/0.57 = ( some_fml @ A4 ) )
% 0.26/0.57 => ( ( Y2
% 0.26/0.57 = ( some_game @ B4 ) )
% 0.26/0.57 => ( P @ X4 @ Y2 ) ) )
% 0.26/0.57 => ( P @ X4 @ Y2 ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % combine_options_cases
% 0.26/0.57 thf(fact_107_combine__options__cases,axiom,
% 0.26/0.57 ! [X4: option_game,P: option_game > option_trm > $o,Y2: option_trm] :
% 0.26/0.57 ( ( ( X4 = none_game )
% 0.26/0.57 => ( P @ X4 @ Y2 ) )
% 0.26/0.57 => ( ( ( Y2 = none_trm )
% 0.26/0.57 => ( P @ X4 @ Y2 ) )
% 0.26/0.57 => ( ! [A4: game,B4: trm] :
% 0.26/0.57 ( ( X4
% 0.26/0.57 = ( some_game @ A4 ) )
% 0.26/0.57 => ( ( Y2
% 0.26/0.57 = ( some_trm @ B4 ) )
% 0.26/0.57 => ( P @ X4 @ Y2 ) ) )
% 0.26/0.57 => ( P @ X4 @ Y2 ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % combine_options_cases
% 0.26/0.57 thf(fact_108_combine__options__cases,axiom,
% 0.26/0.57 ! [X4: option_game,P: option_game > option_fml > $o,Y2: option_fml] :
% 0.26/0.57 ( ( ( X4 = none_game )
% 0.26/0.57 => ( P @ X4 @ Y2 ) )
% 0.26/0.57 => ( ( ( Y2 = none_fml )
% 0.26/0.57 => ( P @ X4 @ Y2 ) )
% 0.26/0.57 => ( ! [A4: game,B4: fml] :
% 0.26/0.57 ( ( X4
% 0.26/0.57 = ( some_game @ A4 ) )
% 0.26/0.57 => ( ( Y2
% 0.26/0.57 = ( some_fml @ B4 ) )
% 0.26/0.57 => ( P @ X4 @ Y2 ) ) )
% 0.26/0.57 => ( P @ X4 @ Y2 ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % combine_options_cases
% 0.26/0.57 thf(fact_109_combine__options__cases,axiom,
% 0.26/0.57 ! [X4: option_game,P: option_game > option_game > $o,Y2: option_game] :
% 0.26/0.57 ( ( ( X4 = none_game )
% 0.26/0.57 => ( P @ X4 @ Y2 ) )
% 0.26/0.57 => ( ( ( Y2 = none_game )
% 0.26/0.57 => ( P @ X4 @ Y2 ) )
% 0.26/0.57 => ( ! [A4: game,B4: game] :
% 0.26/0.57 ( ( X4
% 0.26/0.57 = ( some_game @ A4 ) )
% 0.26/0.57 => ( ( Y2
% 0.26/0.57 = ( some_game @ B4 ) )
% 0.26/0.57 => ( P @ X4 @ Y2 ) ) )
% 0.26/0.57 => ( P @ X4 @ Y2 ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % combine_options_cases
% 0.26/0.57 thf(fact_110_option_Osimps_I4_J,axiom,
% 0.26/0.57 ! [F1: option_trm,F22: trm > option_trm] :
% 0.26/0.57 ( ( case_o487727941rm_trm @ F1 @ F22 @ none_trm )
% 0.26/0.57 = F1 ) ).
% 0.26/0.57
% 0.26/0.57 % option.simps(4)
% 0.26/0.57 thf(fact_111_option_Osimps_I5_J,axiom,
% 0.26/0.57 ! [F1: option_trm,F22: trm > option_trm,X22: trm] :
% 0.26/0.57 ( ( case_o487727941rm_trm @ F1 @ F22 @ ( some_trm @ X22 ) )
% 0.26/0.57 = ( F22 @ X22 ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.simps(5)
% 0.26/0.57 thf(fact_112_option_Oexpand,axiom,
% 0.26/0.57 ! [Option: option_trm,Option3: option_trm] :
% 0.26/0.57 ( ( ( Option = none_trm )
% 0.26/0.57 = ( Option3 = none_trm ) )
% 0.26/0.57 => ( ( ( Option != none_trm )
% 0.26/0.57 => ( ( Option3 != none_trm )
% 0.26/0.57 => ( ( the_trm @ Option )
% 0.26/0.57 = ( the_trm @ Option3 ) ) ) )
% 0.26/0.57 => ( Option = Option3 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.expand
% 0.26/0.57 thf(fact_113_option_Oexpand,axiom,
% 0.26/0.57 ! [Option: option_fml,Option3: option_fml] :
% 0.26/0.57 ( ( ( Option = none_fml )
% 0.26/0.57 = ( Option3 = none_fml ) )
% 0.26/0.57 => ( ( ( Option != none_fml )
% 0.26/0.57 => ( ( Option3 != none_fml )
% 0.26/0.57 => ( ( the_fml @ Option )
% 0.26/0.57 = ( the_fml @ Option3 ) ) ) )
% 0.26/0.57 => ( Option = Option3 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.expand
% 0.26/0.57 thf(fact_114_option_Oexpand,axiom,
% 0.26/0.57 ! [Option: option_game,Option3: option_game] :
% 0.26/0.57 ( ( ( Option = none_game )
% 0.26/0.57 = ( Option3 = none_game ) )
% 0.26/0.57 => ( ( ( Option != none_game )
% 0.26/0.57 => ( ( Option3 != none_game )
% 0.26/0.57 => ( ( the_game @ Option )
% 0.26/0.57 = ( the_game @ Option3 ) ) ) )
% 0.26/0.57 => ( Option = Option3 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.expand
% 0.26/0.57 thf(fact_115_option_Osel,axiom,
% 0.26/0.57 ! [X22: trm] :
% 0.26/0.57 ( ( the_trm @ ( some_trm @ X22 ) )
% 0.26/0.57 = X22 ) ).
% 0.26/0.57
% 0.26/0.57 % option.sel
% 0.26/0.57 thf(fact_116_option_Osel,axiom,
% 0.26/0.57 ! [X22: fml] :
% 0.26/0.57 ( ( the_fml @ ( some_fml @ X22 ) )
% 0.26/0.57 = X22 ) ).
% 0.26/0.57
% 0.26/0.57 % option.sel
% 0.26/0.57 thf(fact_117_option_Osel,axiom,
% 0.26/0.57 ! [X22: game] :
% 0.26/0.57 ( ( the_game @ ( some_game @ X22 ) )
% 0.26/0.57 = X22 ) ).
% 0.26/0.57
% 0.26/0.57 % option.sel
% 0.26/0.57 thf(fact_118_option_Oexhaust__sel,axiom,
% 0.26/0.57 ! [Option: option_trm] :
% 0.26/0.57 ( ( Option != none_trm )
% 0.26/0.57 => ( Option
% 0.26/0.57 = ( some_trm @ ( the_trm @ Option ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.exhaust_sel
% 0.26/0.57 thf(fact_119_option_Oexhaust__sel,axiom,
% 0.26/0.57 ! [Option: option_fml] :
% 0.26/0.57 ( ( Option != none_fml )
% 0.26/0.57 => ( Option
% 0.26/0.57 = ( some_fml @ ( the_fml @ Option ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.exhaust_sel
% 0.26/0.57 thf(fact_120_option_Oexhaust__sel,axiom,
% 0.26/0.57 ! [Option: option_game] :
% 0.26/0.57 ( ( Option != none_game )
% 0.26/0.57 => ( Option
% 0.26/0.57 = ( some_game @ ( the_game @ Option ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % option.exhaust_sel
% 0.26/0.57 thf(fact_121_usubstappt__func,axiom,
% 0.26/0.57 ! [Sigma2: produc1418842292n_game,F3: char,R2: trm,U2: set_variable,Theta2: trm,Sigma_theta: trm] :
% 0.26/0.57 ( ( ( produc866613687on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [F4: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F4 ) )
% 0.26/0.57 @ Sigma2
% 0.26/0.57 @ F3 )
% 0.26/0.57 = ( some_trm @ R2 ) )
% 0.26/0.57 => ( ( ( inf_inf_set_variable @ ( static_FVT @ R2 ) @ U2 )
% 0.26/0.57 = bot_bot_set_variable )
% 0.26/0.57 => ( ( ( uSubst516392818stappt @ Sigma2 @ U2 @ Theta2 )
% 0.26/0.57 = ( some_trm @ Sigma_theta ) )
% 0.26/0.57 => ( ( uSubst516392818stappt @ Sigma2 @ U2 @ ( func @ F3 @ Theta2 ) )
% 0.26/0.57 = ( uSubst516392818stappt @ ( uSubst1408967625substt @ Sigma_theta ) @ bot_bot_set_variable @ R2 ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % usubstappt_func
% 0.26/0.57 thf(fact_122_usubstappt_Osimps_I4_J,axiom,
% 0.26/0.57 ! [Sigma2: produc1418842292n_game,U2: set_variable,F3: char,Theta2: trm] :
% 0.26/0.57 ( ( uSubst516392818stappt @ Sigma2 @ U2 @ ( func @ F3 @ Theta2 ) )
% 0.26/0.57 = ( case_o487727941rm_trm @ none_trm
% 0.26/0.57 @ ^ [Sigma_theta2: trm] :
% 0.26/0.57 ( case_o487727941rm_trm @ ( some_trm @ ( func @ F3 @ Sigma_theta2 ) )
% 0.26/0.57 @ ^ [R: trm] :
% 0.26/0.57 ( if_option_trm
% 0.26/0.57 @ ( ( inf_inf_set_variable @ ( static_FVT @ R ) @ U2 )
% 0.26/0.57 = bot_bot_set_variable )
% 0.26/0.57 @ ( uSubst516392818stappt @ ( uSubst1408967625substt @ Sigma_theta2 ) @ bot_bot_set_variable @ R )
% 0.26/0.57 @ none_trm )
% 0.26/0.57 @ ( produc866613687on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [F4: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F4 ) )
% 0.26/0.57 @ Sigma2
% 0.26/0.57 @ F3 ) )
% 0.26/0.57 @ ( uSubst516392818stappt @ Sigma2 @ U2 @ Theta2 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % usubstappt.simps(4)
% 0.26/0.57 thf(fact_123_Int__iff,axiom,
% 0.26/0.57 ! [C: char,A2: set_char,B3: set_char] :
% 0.26/0.57 ( ( member_char @ C @ ( inf_inf_set_char @ A2 @ B3 ) )
% 0.26/0.57 = ( ( member_char @ C @ A2 )
% 0.26/0.57 & ( member_char @ C @ B3 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Int_iff
% 0.26/0.57 thf(fact_124_Int__iff,axiom,
% 0.26/0.57 ! [C: variable,A2: set_variable,B3: set_variable] :
% 0.26/0.57 ( ( member_variable @ C @ ( inf_inf_set_variable @ A2 @ B3 ) )
% 0.26/0.57 = ( ( member_variable @ C @ A2 )
% 0.26/0.57 & ( member_variable @ C @ B3 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Int_iff
% 0.26/0.57 thf(fact_125_IntI,axiom,
% 0.26/0.57 ! [C: char,A2: set_char,B3: set_char] :
% 0.26/0.57 ( ( member_char @ C @ A2 )
% 0.26/0.57 => ( ( member_char @ C @ B3 )
% 0.26/0.57 => ( member_char @ C @ ( inf_inf_set_char @ A2 @ B3 ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % IntI
% 0.26/0.57 thf(fact_126_IntI,axiom,
% 0.26/0.57 ! [C: variable,A2: set_variable,B3: set_variable] :
% 0.26/0.57 ( ( member_variable @ C @ A2 )
% 0.26/0.57 => ( ( member_variable @ C @ B3 )
% 0.26/0.57 => ( member_variable @ C @ ( inf_inf_set_variable @ A2 @ B3 ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % IntI
% 0.26/0.57 thf(fact_127_empty__Collect__eq,axiom,
% 0.26/0.57 ! [P: char > $o] :
% 0.26/0.57 ( ( bot_bot_set_char
% 0.26/0.57 = ( collect_char @ P ) )
% 0.26/0.57 = ( ! [X: char] :
% 0.26/0.57 ~ ( P @ X ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % empty_Collect_eq
% 0.26/0.57 thf(fact_128_empty__Collect__eq,axiom,
% 0.26/0.57 ! [P: variable > $o] :
% 0.26/0.57 ( ( bot_bot_set_variable
% 0.26/0.57 = ( collect_variable @ P ) )
% 0.26/0.57 = ( ! [X: variable] :
% 0.26/0.57 ~ ( P @ X ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % empty_Collect_eq
% 0.26/0.57 thf(fact_129_Collect__empty__eq,axiom,
% 0.26/0.57 ! [P: char > $o] :
% 0.26/0.57 ( ( ( collect_char @ P )
% 0.26/0.57 = bot_bot_set_char )
% 0.26/0.57 = ( ! [X: char] :
% 0.26/0.57 ~ ( P @ X ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Collect_empty_eq
% 0.26/0.57 thf(fact_130_Collect__empty__eq,axiom,
% 0.26/0.57 ! [P: variable > $o] :
% 0.26/0.57 ( ( ( collect_variable @ P )
% 0.26/0.57 = bot_bot_set_variable )
% 0.26/0.57 = ( ! [X: variable] :
% 0.26/0.57 ~ ( P @ X ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Collect_empty_eq
% 0.26/0.57 thf(fact_131_all__not__in__conv,axiom,
% 0.26/0.57 ! [A2: set_char] :
% 0.26/0.57 ( ( ! [X: char] :
% 0.26/0.57 ~ ( member_char @ X @ A2 ) )
% 0.26/0.57 = ( A2 = bot_bot_set_char ) ) ).
% 0.26/0.57
% 0.26/0.57 % all_not_in_conv
% 0.26/0.57 thf(fact_132_all__not__in__conv,axiom,
% 0.26/0.57 ! [A2: set_variable] :
% 0.26/0.57 ( ( ! [X: variable] :
% 0.26/0.57 ~ ( member_variable @ X @ A2 ) )
% 0.26/0.57 = ( A2 = bot_bot_set_variable ) ) ).
% 0.26/0.57
% 0.26/0.57 % all_not_in_conv
% 0.26/0.57 thf(fact_133_empty__iff,axiom,
% 0.26/0.57 ! [C: char] :
% 0.26/0.57 ~ ( member_char @ C @ bot_bot_set_char ) ).
% 0.26/0.57
% 0.26/0.57 % empty_iff
% 0.26/0.57 thf(fact_134_empty__iff,axiom,
% 0.26/0.57 ! [C: variable] :
% 0.26/0.57 ~ ( member_variable @ C @ bot_bot_set_variable ) ).
% 0.26/0.57
% 0.26/0.57 % empty_iff
% 0.26/0.57 thf(fact_135_emptyE,axiom,
% 0.26/0.57 ! [A: char] :
% 0.26/0.57 ~ ( member_char @ A @ bot_bot_set_char ) ).
% 0.26/0.57
% 0.26/0.57 % emptyE
% 0.26/0.57 thf(fact_136_emptyE,axiom,
% 0.26/0.57 ! [A: variable] :
% 0.26/0.57 ~ ( member_variable @ A @ bot_bot_set_variable ) ).
% 0.26/0.57
% 0.26/0.57 % emptyE
% 0.26/0.57 thf(fact_137_equals0D,axiom,
% 0.26/0.57 ! [A2: set_char,A: char] :
% 0.26/0.57 ( ( A2 = bot_bot_set_char )
% 0.26/0.57 => ~ ( member_char @ A @ A2 ) ) ).
% 0.26/0.57
% 0.26/0.57 % equals0D
% 0.26/0.57 thf(fact_138_equals0D,axiom,
% 0.26/0.57 ! [A2: set_variable,A: variable] :
% 0.26/0.57 ( ( A2 = bot_bot_set_variable )
% 0.26/0.57 => ~ ( member_variable @ A @ A2 ) ) ).
% 0.26/0.57
% 0.26/0.57 % equals0D
% 0.26/0.57 thf(fact_139_equals0I,axiom,
% 0.26/0.57 ! [A2: set_char] :
% 0.26/0.57 ( ! [Y4: char] :
% 0.26/0.57 ~ ( member_char @ Y4 @ A2 )
% 0.26/0.57 => ( A2 = bot_bot_set_char ) ) ).
% 0.26/0.57
% 0.26/0.57 % equals0I
% 0.26/0.57 thf(fact_140_equals0I,axiom,
% 0.26/0.57 ! [A2: set_variable] :
% 0.26/0.57 ( ! [Y4: variable] :
% 0.26/0.57 ~ ( member_variable @ Y4 @ A2 )
% 0.26/0.57 => ( A2 = bot_bot_set_variable ) ) ).
% 0.26/0.57
% 0.26/0.57 % equals0I
% 0.26/0.57 thf(fact_141_ex__in__conv,axiom,
% 0.26/0.57 ! [A2: set_char] :
% 0.26/0.57 ( ( ? [X: char] : ( member_char @ X @ A2 ) )
% 0.26/0.57 = ( A2 != bot_bot_set_char ) ) ).
% 0.26/0.57
% 0.26/0.57 % ex_in_conv
% 0.26/0.57 thf(fact_142_ex__in__conv,axiom,
% 0.26/0.57 ! [A2: set_variable] :
% 0.26/0.57 ( ( ? [X: variable] : ( member_variable @ X @ A2 ) )
% 0.26/0.57 = ( A2 != bot_bot_set_variable ) ) ).
% 0.26/0.57
% 0.26/0.57 % ex_in_conv
% 0.26/0.57 thf(fact_143_bot__set__def,axiom,
% 0.26/0.57 ( bot_bot_set_char
% 0.26/0.57 = ( collect_char @ bot_bot_char_o ) ) ).
% 0.26/0.57
% 0.26/0.57 % bot_set_def
% 0.26/0.57 thf(fact_144_bot__set__def,axiom,
% 0.26/0.57 ( bot_bot_set_variable
% 0.26/0.57 = ( collect_variable @ bot_bot_variable_o ) ) ).
% 0.26/0.57
% 0.26/0.57 % bot_set_def
% 0.26/0.57 thf(fact_145_IntE,axiom,
% 0.26/0.57 ! [C: char,A2: set_char,B3: set_char] :
% 0.26/0.57 ( ( member_char @ C @ ( inf_inf_set_char @ A2 @ B3 ) )
% 0.26/0.57 => ~ ( ( member_char @ C @ A2 )
% 0.26/0.57 => ~ ( member_char @ C @ B3 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % IntE
% 0.26/0.57 thf(fact_146_IntE,axiom,
% 0.26/0.57 ! [C: variable,A2: set_variable,B3: set_variable] :
% 0.26/0.57 ( ( member_variable @ C @ ( inf_inf_set_variable @ A2 @ B3 ) )
% 0.26/0.57 => ~ ( ( member_variable @ C @ A2 )
% 0.26/0.57 => ~ ( member_variable @ C @ B3 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % IntE
% 0.26/0.57 thf(fact_147_IntD1,axiom,
% 0.26/0.57 ! [C: char,A2: set_char,B3: set_char] :
% 0.26/0.57 ( ( member_char @ C @ ( inf_inf_set_char @ A2 @ B3 ) )
% 0.26/0.57 => ( member_char @ C @ A2 ) ) ).
% 0.26/0.57
% 0.26/0.57 % IntD1
% 0.26/0.57 thf(fact_148_IntD1,axiom,
% 0.26/0.57 ! [C: variable,A2: set_variable,B3: set_variable] :
% 0.26/0.57 ( ( member_variable @ C @ ( inf_inf_set_variable @ A2 @ B3 ) )
% 0.26/0.57 => ( member_variable @ C @ A2 ) ) ).
% 0.26/0.57
% 0.26/0.57 % IntD1
% 0.26/0.57 thf(fact_149_IntD2,axiom,
% 0.26/0.57 ! [C: char,A2: set_char,B3: set_char] :
% 0.26/0.57 ( ( member_char @ C @ ( inf_inf_set_char @ A2 @ B3 ) )
% 0.26/0.57 => ( member_char @ C @ B3 ) ) ).
% 0.26/0.57
% 0.26/0.57 % IntD2
% 0.26/0.57 thf(fact_150_IntD2,axiom,
% 0.26/0.57 ! [C: variable,A2: set_variable,B3: set_variable] :
% 0.26/0.57 ( ( member_variable @ C @ ( inf_inf_set_variable @ A2 @ B3 ) )
% 0.26/0.57 => ( member_variable @ C @ B3 ) ) ).
% 0.26/0.57
% 0.26/0.57 % IntD2
% 0.26/0.57 thf(fact_151_Int__assoc,axiom,
% 0.26/0.57 ! [A2: set_variable,B3: set_variable,C2: set_variable] :
% 0.26/0.57 ( ( inf_inf_set_variable @ ( inf_inf_set_variable @ A2 @ B3 ) @ C2 )
% 0.26/0.57 = ( inf_inf_set_variable @ A2 @ ( inf_inf_set_variable @ B3 @ C2 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Int_assoc
% 0.26/0.57 thf(fact_152_Int__absorb,axiom,
% 0.26/0.57 ! [A2: set_variable] :
% 0.26/0.57 ( ( inf_inf_set_variable @ A2 @ A2 )
% 0.26/0.57 = A2 ) ).
% 0.26/0.57
% 0.26/0.57 % Int_absorb
% 0.26/0.57 thf(fact_153_Int__commute,axiom,
% 0.26/0.57 ( inf_inf_set_variable
% 0.26/0.57 = ( ^ [A5: set_variable,B5: set_variable] : ( inf_inf_set_variable @ B5 @ A5 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Int_commute
% 0.26/0.57 thf(fact_154_Int__left__absorb,axiom,
% 0.26/0.57 ! [A2: set_variable,B3: set_variable] :
% 0.26/0.57 ( ( inf_inf_set_variable @ A2 @ ( inf_inf_set_variable @ A2 @ B3 ) )
% 0.26/0.57 = ( inf_inf_set_variable @ A2 @ B3 ) ) ).
% 0.26/0.57
% 0.26/0.57 % Int_left_absorb
% 0.26/0.57 thf(fact_155_Int__left__commute,axiom,
% 0.26/0.57 ! [A2: set_variable,B3: set_variable,C2: set_variable] :
% 0.26/0.57 ( ( inf_inf_set_variable @ A2 @ ( inf_inf_set_variable @ B3 @ C2 ) )
% 0.26/0.57 = ( inf_inf_set_variable @ B3 @ ( inf_inf_set_variable @ A2 @ C2 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Int_left_commute
% 0.26/0.57 thf(fact_156_empty__def,axiom,
% 0.26/0.57 ( bot_bot_set_char
% 0.26/0.57 = ( collect_char
% 0.26/0.57 @ ^ [X: char] : $false ) ) ).
% 0.26/0.57
% 0.26/0.57 % empty_def
% 0.26/0.57 thf(fact_157_empty__def,axiom,
% 0.26/0.57 ( bot_bot_set_variable
% 0.26/0.57 = ( collect_variable
% 0.26/0.57 @ ^ [X: variable] : $false ) ) ).
% 0.26/0.57
% 0.26/0.57 % empty_def
% 0.26/0.57 thf(fact_158_Collect__conj__eq,axiom,
% 0.26/0.57 ! [P: char > $o,Q: char > $o] :
% 0.26/0.57 ( ( collect_char
% 0.26/0.57 @ ^ [X: char] :
% 0.26/0.57 ( ( P @ X )
% 0.26/0.57 & ( Q @ X ) ) )
% 0.26/0.57 = ( inf_inf_set_char @ ( collect_char @ P ) @ ( collect_char @ Q ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Collect_conj_eq
% 0.26/0.57 thf(fact_159_Collect__conj__eq,axiom,
% 0.26/0.57 ! [P: variable > $o,Q: variable > $o] :
% 0.26/0.57 ( ( collect_variable
% 0.26/0.57 @ ^ [X: variable] :
% 0.26/0.57 ( ( P @ X )
% 0.26/0.57 & ( Q @ X ) ) )
% 0.26/0.57 = ( inf_inf_set_variable @ ( collect_variable @ P ) @ ( collect_variable @ Q ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Collect_conj_eq
% 0.26/0.57 thf(fact_160_Int__Collect,axiom,
% 0.26/0.57 ! [X4: char,A2: set_char,P: char > $o] :
% 0.26/0.57 ( ( member_char @ X4 @ ( inf_inf_set_char @ A2 @ ( collect_char @ P ) ) )
% 0.26/0.57 = ( ( member_char @ X4 @ A2 )
% 0.26/0.57 & ( P @ X4 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Int_Collect
% 0.26/0.57 thf(fact_161_Int__Collect,axiom,
% 0.26/0.57 ! [X4: variable,A2: set_variable,P: variable > $o] :
% 0.26/0.57 ( ( member_variable @ X4 @ ( inf_inf_set_variable @ A2 @ ( collect_variable @ P ) ) )
% 0.26/0.57 = ( ( member_variable @ X4 @ A2 )
% 0.26/0.57 & ( P @ X4 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Int_Collect
% 0.26/0.57 thf(fact_162_Int__def,axiom,
% 0.26/0.57 ( inf_inf_set_char
% 0.26/0.57 = ( ^ [A5: set_char,B5: set_char] :
% 0.26/0.57 ( collect_char
% 0.26/0.57 @ ^ [X: char] :
% 0.26/0.57 ( ( member_char @ X @ A5 )
% 0.26/0.57 & ( member_char @ X @ B5 ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Int_def
% 0.26/0.57 thf(fact_163_Int__def,axiom,
% 0.26/0.57 ( inf_inf_set_variable
% 0.26/0.57 = ( ^ [A5: set_variable,B5: set_variable] :
% 0.26/0.57 ( collect_variable
% 0.26/0.57 @ ^ [X: variable] :
% 0.26/0.57 ( ( member_variable @ X @ A5 )
% 0.26/0.57 & ( member_variable @ X @ B5 ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Int_def
% 0.26/0.57 thf(fact_164_inf__set__def,axiom,
% 0.26/0.57 ( inf_inf_set_char
% 0.26/0.57 = ( ^ [A5: set_char,B5: set_char] :
% 0.26/0.57 ( collect_char
% 0.26/0.57 @ ( inf_inf_char_o
% 0.26/0.57 @ ^ [X: char] : ( member_char @ X @ A5 )
% 0.26/0.57 @ ^ [X: char] : ( member_char @ X @ B5 ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % inf_set_def
% 0.26/0.57 thf(fact_165_inf__set__def,axiom,
% 0.26/0.57 ( inf_inf_set_variable
% 0.26/0.57 = ( ^ [A5: set_variable,B5: set_variable] :
% 0.26/0.57 ( collect_variable
% 0.26/0.57 @ ( inf_inf_variable_o
% 0.26/0.57 @ ^ [X: variable] : ( member_variable @ X @ A5 )
% 0.26/0.57 @ ^ [X: variable] : ( member_variable @ X @ B5 ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % inf_set_def
% 0.26/0.57 thf(fact_166_Int__emptyI,axiom,
% 0.26/0.57 ! [A2: set_char,B3: set_char] :
% 0.26/0.57 ( ! [X2: char] :
% 0.26/0.57 ( ( member_char @ X2 @ A2 )
% 0.26/0.57 => ~ ( member_char @ X2 @ B3 ) )
% 0.26/0.57 => ( ( inf_inf_set_char @ A2 @ B3 )
% 0.26/0.57 = bot_bot_set_char ) ) ).
% 0.26/0.57
% 0.26/0.57 % Int_emptyI
% 0.26/0.57 thf(fact_167_Int__emptyI,axiom,
% 0.26/0.57 ! [A2: set_variable,B3: set_variable] :
% 0.26/0.57 ( ! [X2: variable] :
% 0.26/0.57 ( ( member_variable @ X2 @ A2 )
% 0.26/0.57 => ~ ( member_variable @ X2 @ B3 ) )
% 0.26/0.57 => ( ( inf_inf_set_variable @ A2 @ B3 )
% 0.26/0.57 = bot_bot_set_variable ) ) ).
% 0.26/0.57
% 0.26/0.57 % Int_emptyI
% 0.26/0.57 thf(fact_168_disjoint__iff,axiom,
% 0.26/0.57 ! [A2: set_char,B3: set_char] :
% 0.26/0.57 ( ( ( inf_inf_set_char @ A2 @ B3 )
% 0.26/0.57 = bot_bot_set_char )
% 0.26/0.57 = ( ! [X: char] :
% 0.26/0.57 ( ( member_char @ X @ A2 )
% 0.26/0.57 => ~ ( member_char @ X @ B3 ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % disjoint_iff
% 0.26/0.57 thf(fact_169_disjoint__iff,axiom,
% 0.26/0.57 ! [A2: set_variable,B3: set_variable] :
% 0.26/0.57 ( ( ( inf_inf_set_variable @ A2 @ B3 )
% 0.26/0.57 = bot_bot_set_variable )
% 0.26/0.57 = ( ! [X: variable] :
% 0.26/0.57 ( ( member_variable @ X @ A2 )
% 0.26/0.57 => ~ ( member_variable @ X @ B3 ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % disjoint_iff
% 0.26/0.57 thf(fact_170_Int__empty__left,axiom,
% 0.26/0.57 ! [B3: set_variable] :
% 0.26/0.57 ( ( inf_inf_set_variable @ bot_bot_set_variable @ B3 )
% 0.26/0.57 = bot_bot_set_variable ) ).
% 0.26/0.57
% 0.26/0.57 % Int_empty_left
% 0.26/0.57 thf(fact_171_Int__empty__right,axiom,
% 0.26/0.57 ! [A2: set_variable] :
% 0.26/0.57 ( ( inf_inf_set_variable @ A2 @ bot_bot_set_variable )
% 0.26/0.57 = bot_bot_set_variable ) ).
% 0.26/0.57
% 0.26/0.57 % Int_empty_right
% 0.26/0.57 thf(fact_172_disjoint__iff__not__equal,axiom,
% 0.26/0.57 ! [A2: set_variable,B3: set_variable] :
% 0.26/0.57 ( ( ( inf_inf_set_variable @ A2 @ B3 )
% 0.26/0.57 = bot_bot_set_variable )
% 0.26/0.57 = ( ! [X: variable] :
% 0.26/0.57 ( ( member_variable @ X @ A2 )
% 0.26/0.57 => ! [Y: variable] :
% 0.26/0.57 ( ( member_variable @ Y @ B3 )
% 0.26/0.57 => ( X != Y ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % disjoint_iff_not_equal
% 0.26/0.57 thf(fact_173_disjE__realizer2,axiom,
% 0.26/0.57 ! [P: $o,Q: trm > $o,X4: option_trm,R4: option_trm > $o,F3: option_trm,G: trm > option_trm] :
% 0.26/0.57 ( ( case_option_o_trm @ P @ Q @ X4 )
% 0.26/0.57 => ( ( P
% 0.26/0.57 => ( R4 @ F3 ) )
% 0.26/0.57 => ( ! [Q2: trm] :
% 0.26/0.57 ( ( Q @ Q2 )
% 0.26/0.57 => ( R4 @ ( G @ Q2 ) ) )
% 0.26/0.57 => ( R4 @ ( case_o487727941rm_trm @ F3 @ G @ X4 ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % disjE_realizer2
% 0.26/0.57 thf(fact_174_Set_Ois__empty__def,axiom,
% 0.26/0.57 ( is_empty_variable
% 0.26/0.57 = ( ^ [A5: set_variable] : ( A5 = bot_bot_set_variable ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Set.is_empty_def
% 0.26/0.57 thf(fact_175_prod_Ocase__distrib,axiom,
% 0.26/0.57 ! [H: ( char > option_fml ) > char > option_fml,F3: ( char > option_trm ) > produc62062515n_game > char > option_fml,Prod: produc1418842292n_game] :
% 0.26/0.57 ( ( H @ ( produc1250175341on_fml @ F3 @ Prod ) )
% 0.26/0.57 = ( produc1250175341on_fml
% 0.26/0.57 @ ^ [X1: char > option_trm,X24: produc62062515n_game] : ( H @ ( F3 @ X1 @ X24 ) )
% 0.26/0.57 @ Prod ) ) ).
% 0.26/0.57
% 0.26/0.57 % prod.case_distrib
% 0.26/0.57 thf(fact_176_prod_Ocase__distrib,axiom,
% 0.26/0.57 ! [H: ( char > option_trm ) > char > option_trm,F3: ( char > option_trm ) > produc799602994n_game > char > option_trm,Prod: produc62062515n_game] :
% 0.26/0.57 ( ( H @ ( produc1231571704on_trm @ F3 @ Prod ) )
% 0.26/0.57 = ( produc1231571704on_trm
% 0.26/0.57 @ ^ [X1: char > option_trm,X24: produc799602994n_game] : ( H @ ( F3 @ X1 @ X24 ) )
% 0.26/0.57 @ Prod ) ) ).
% 0.26/0.57
% 0.26/0.57 % prod.case_distrib
% 0.26/0.57 thf(fact_177_prod_Ocase__distrib,axiom,
% 0.26/0.57 ! [H: ( char > option_trm ) > char > option_fml,F3: ( char > option_trm ) > produc799602994n_game > char > option_trm,Prod: produc62062515n_game] :
% 0.26/0.57 ( ( H @ ( produc1231571704on_trm @ F3 @ Prod ) )
% 0.26/0.57 = ( produc1615133358on_fml
% 0.26/0.57 @ ^ [X1: char > option_trm,X24: produc799602994n_game] : ( H @ ( F3 @ X1 @ X24 ) )
% 0.26/0.57 @ Prod ) ) ).
% 0.26/0.57
% 0.26/0.57 % prod.case_distrib
% 0.26/0.57 thf(fact_178_prod_Ocase__distrib,axiom,
% 0.26/0.57 ! [H: ( char > option_fml ) > char > option_trm,F3: ( char > option_trm ) > produc799602994n_game > char > option_fml,Prod: produc62062515n_game] :
% 0.26/0.57 ( ( H @ ( produc1615133358on_fml @ F3 @ Prod ) )
% 0.26/0.57 = ( produc1231571704on_trm
% 0.26/0.57 @ ^ [X1: char > option_trm,X24: produc799602994n_game] : ( H @ ( F3 @ X1 @ X24 ) )
% 0.26/0.57 @ Prod ) ) ).
% 0.26/0.57
% 0.26/0.57 % prod.case_distrib
% 0.26/0.57 thf(fact_179_prod_Ocase__distrib,axiom,
% 0.26/0.57 ! [H: ( char > option_fml ) > char > option_fml,F3: ( char > option_trm ) > produc799602994n_game > char > option_fml,Prod: produc62062515n_game] :
% 0.26/0.57 ( ( H @ ( produc1615133358on_fml @ F3 @ Prod ) )
% 0.26/0.57 = ( produc1615133358on_fml
% 0.26/0.57 @ ^ [X1: char > option_trm,X24: produc799602994n_game] : ( H @ ( F3 @ X1 @ X24 ) )
% 0.26/0.57 @ Prod ) ) ).
% 0.26/0.57
% 0.26/0.57 % prod.case_distrib
% 0.26/0.57 thf(fact_180_prod_Ocase__distrib,axiom,
% 0.26/0.57 ! [H: ( char > option_trm ) > char > option_trm,F3: ( char > option_fml ) > ( char > option_game ) > char > option_trm,Prod: produc799602994n_game] :
% 0.26/0.57 ( ( H @ ( produc1036610745on_trm @ F3 @ Prod ) )
% 0.26/0.57 = ( produc1036610745on_trm
% 0.26/0.57 @ ^ [X1: char > option_fml,X24: char > option_game] : ( H @ ( F3 @ X1 @ X24 ) )
% 0.26/0.57 @ Prod ) ) ).
% 0.26/0.57
% 0.26/0.57 % prod.case_distrib
% 0.26/0.57 thf(fact_181_prod_Ocase__distrib,axiom,
% 0.26/0.57 ! [H: ( char > option_trm ) > char > option_fml,F3: ( char > option_fml ) > ( char > option_game ) > char > option_trm,Prod: produc799602994n_game] :
% 0.26/0.57 ( ( H @ ( produc1036610745on_trm @ F3 @ Prod ) )
% 0.26/0.57 = ( produc1420172399on_fml
% 0.26/0.57 @ ^ [X1: char > option_fml,X24: char > option_game] : ( H @ ( F3 @ X1 @ X24 ) )
% 0.26/0.57 @ Prod ) ) ).
% 0.26/0.57
% 0.26/0.57 % prod.case_distrib
% 0.26/0.57 thf(fact_182_prod_Ocase__distrib,axiom,
% 0.26/0.57 ! [H: ( char > option_fml ) > char > option_trm,F3: ( char > option_fml ) > ( char > option_game ) > char > option_fml,Prod: produc799602994n_game] :
% 0.26/0.57 ( ( H @ ( produc1420172399on_fml @ F3 @ Prod ) )
% 0.26/0.57 = ( produc1036610745on_trm
% 0.26/0.57 @ ^ [X1: char > option_fml,X24: char > option_game] : ( H @ ( F3 @ X1 @ X24 ) )
% 0.26/0.57 @ Prod ) ) ).
% 0.26/0.57
% 0.26/0.57 % prod.case_distrib
% 0.26/0.57 thf(fact_183_prod_Ocase__distrib,axiom,
% 0.26/0.57 ! [H: ( char > option_fml ) > char > option_fml,F3: ( char > option_fml ) > ( char > option_game ) > char > option_fml,Prod: produc799602994n_game] :
% 0.26/0.57 ( ( H @ ( produc1420172399on_fml @ F3 @ Prod ) )
% 0.26/0.57 = ( produc1420172399on_fml
% 0.26/0.57 @ ^ [X1: char > option_fml,X24: char > option_game] : ( H @ ( F3 @ X1 @ X24 ) )
% 0.26/0.57 @ Prod ) ) ).
% 0.26/0.57
% 0.26/0.57 % prod.case_distrib
% 0.26/0.57 thf(fact_184_inf__Int__eq,axiom,
% 0.26/0.57 ! [R4: set_char,S: set_char] :
% 0.26/0.57 ( ( inf_inf_char_o
% 0.26/0.57 @ ^ [X: char] : ( member_char @ X @ R4 )
% 0.26/0.57 @ ^ [X: char] : ( member_char @ X @ S ) )
% 0.26/0.57 = ( ^ [X: char] : ( member_char @ X @ ( inf_inf_set_char @ R4 @ S ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % inf_Int_eq
% 0.26/0.57 thf(fact_185_inf__Int__eq,axiom,
% 0.26/0.57 ! [R4: set_variable,S: set_variable] :
% 0.26/0.57 ( ( inf_inf_variable_o
% 0.26/0.57 @ ^ [X: variable] : ( member_variable @ X @ R4 )
% 0.26/0.57 @ ^ [X: variable] : ( member_variable @ X @ S ) )
% 0.26/0.57 = ( ^ [X: variable] : ( member_variable @ X @ ( inf_inf_set_variable @ R4 @ S ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % inf_Int_eq
% 0.26/0.57 thf(fact_186_Timeso_Osimps_I3_J,axiom,
% 0.26/0.57 ! [V2: trm] :
% 0.26/0.57 ( ( uSubst918876924Timeso @ ( some_trm @ V2 ) @ none_trm )
% 0.26/0.57 = none_trm ) ).
% 0.26/0.57
% 0.26/0.57 % Timeso.simps(3)
% 0.26/0.57 thf(fact_187_Pluso_Osimps_I3_J,axiom,
% 0.26/0.57 ! [V2: trm] :
% 0.26/0.57 ( ( uSubst141955042_Pluso @ ( some_trm @ V2 ) @ none_trm )
% 0.26/0.57 = none_trm ) ).
% 0.26/0.57
% 0.26/0.57 % Pluso.simps(3)
% 0.26/0.57 thf(fact_188_Pluso_Osimps_I2_J,axiom,
% 0.26/0.57 ! [Eta2: option_trm] :
% 0.26/0.57 ( ( uSubst141955042_Pluso @ none_trm @ Eta2 )
% 0.26/0.57 = none_trm ) ).
% 0.26/0.57
% 0.26/0.57 % Pluso.simps(2)
% 0.26/0.57 thf(fact_189_Timeso_Osimps_I2_J,axiom,
% 0.26/0.57 ! [Eta2: option_trm] :
% 0.26/0.57 ( ( uSubst918876924Timeso @ none_trm @ Eta2 )
% 0.26/0.57 = none_trm ) ).
% 0.26/0.57
% 0.26/0.57 % Timeso.simps(2)
% 0.26/0.57 thf(fact_190_Pluso__undef,axiom,
% 0.26/0.57 ! [Theta2: option_trm,Eta2: option_trm] :
% 0.26/0.57 ( ( ( uSubst141955042_Pluso @ Theta2 @ Eta2 )
% 0.26/0.57 = none_trm )
% 0.26/0.57 = ( ( Theta2 = none_trm )
% 0.26/0.57 | ( Eta2 = none_trm ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Pluso_undef
% 0.26/0.57 thf(fact_191_Timeso__undef,axiom,
% 0.26/0.57 ! [Theta2: option_trm,Eta2: option_trm] :
% 0.26/0.57 ( ( ( uSubst918876924Timeso @ Theta2 @ Eta2 )
% 0.26/0.57 = none_trm )
% 0.26/0.57 = ( ( Theta2 = none_trm )
% 0.26/0.57 | ( Eta2 = none_trm ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Timeso_undef
% 0.26/0.57 thf(fact_192_bot__empty__eq,axiom,
% 0.26/0.57 ( bot_bot_char_o
% 0.26/0.57 = ( ^ [X: char] : ( member_char @ X @ bot_bot_set_char ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % bot_empty_eq
% 0.26/0.57 thf(fact_193_bot__empty__eq,axiom,
% 0.26/0.57 ( bot_bot_variable_o
% 0.26/0.57 = ( ^ [X: variable] : ( member_variable @ X @ bot_bot_set_variable ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % bot_empty_eq
% 0.26/0.57 thf(fact_194_Collect__empty__eq__bot,axiom,
% 0.26/0.57 ! [P: char > $o] :
% 0.26/0.57 ( ( ( collect_char @ P )
% 0.26/0.57 = bot_bot_set_char )
% 0.26/0.57 = ( P = bot_bot_char_o ) ) ).
% 0.26/0.57
% 0.26/0.57 % Collect_empty_eq_bot
% 0.26/0.57 thf(fact_195_Collect__empty__eq__bot,axiom,
% 0.26/0.57 ! [P: variable > $o] :
% 0.26/0.57 ( ( ( collect_variable @ P )
% 0.26/0.57 = bot_bot_set_variable )
% 0.26/0.57 = ( P = bot_bot_variable_o ) ) ).
% 0.26/0.57
% 0.26/0.57 % Collect_empty_eq_bot
% 0.26/0.57 thf(fact_196_internal__case__prod__def,axiom,
% 0.26/0.57 produc1278328899on_fml = produc1250175341on_fml ).
% 0.26/0.57
% 0.26/0.57 % internal_case_prod_def
% 0.26/0.57 thf(fact_197_internal__case__prod__def,axiom,
% 0.26/0.57 produc2141841102on_trm = produc1231571704on_trm ).
% 0.26/0.57
% 0.26/0.57 % internal_case_prod_def
% 0.26/0.57 thf(fact_198_internal__case__prod__def,axiom,
% 0.26/0.57 produc377919108on_fml = produc1615133358on_fml ).
% 0.26/0.57
% 0.26/0.57 % internal_case_prod_def
% 0.26/0.57 thf(fact_199_internal__case__prod__def,axiom,
% 0.26/0.57 produc1214549391on_trm = produc1036610745on_trm ).
% 0.26/0.57
% 0.26/0.57 % internal_case_prod_def
% 0.26/0.57 thf(fact_200_internal__case__prod__def,axiom,
% 0.26/0.57 produc1598111045on_fml = produc1420172399on_fml ).
% 0.26/0.57
% 0.26/0.57 % internal_case_prod_def
% 0.26/0.57 thf(fact_201_Pluso_Oelims,axiom,
% 0.26/0.57 ! [X4: option_trm,Xa: option_trm,Y2: option_trm] :
% 0.26/0.57 ( ( ( uSubst141955042_Pluso @ X4 @ Xa )
% 0.26/0.57 = Y2 )
% 0.26/0.57 => ( ! [Theta: trm] :
% 0.26/0.57 ( ( X4
% 0.26/0.57 = ( some_trm @ Theta ) )
% 0.26/0.57 => ! [Eta: trm] :
% 0.26/0.57 ( ( Xa
% 0.26/0.57 = ( some_trm @ Eta ) )
% 0.26/0.57 => ( Y2
% 0.26/0.57 != ( some_trm @ ( plus @ Theta @ Eta ) ) ) ) )
% 0.26/0.57 => ( ( ( X4 = none_trm )
% 0.26/0.57 => ( Y2 != none_trm ) )
% 0.26/0.57 => ~ ( ? [V: trm] :
% 0.26/0.57 ( X4
% 0.26/0.57 = ( some_trm @ V ) )
% 0.26/0.57 => ( ( Xa = none_trm )
% 0.26/0.57 => ( Y2 != none_trm ) ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Pluso.elims
% 0.26/0.57 thf(fact_202_Timeso_Oelims,axiom,
% 0.26/0.57 ! [X4: option_trm,Xa: option_trm,Y2: option_trm] :
% 0.26/0.57 ( ( ( uSubst918876924Timeso @ X4 @ Xa )
% 0.26/0.57 = Y2 )
% 0.26/0.57 => ( ! [Theta: trm] :
% 0.26/0.57 ( ( X4
% 0.26/0.57 = ( some_trm @ Theta ) )
% 0.26/0.57 => ! [Eta: trm] :
% 0.26/0.57 ( ( Xa
% 0.26/0.57 = ( some_trm @ Eta ) )
% 0.26/0.57 => ( Y2
% 0.26/0.57 != ( some_trm @ ( times @ Theta @ Eta ) ) ) ) )
% 0.26/0.57 => ( ( ( X4 = none_trm )
% 0.26/0.57 => ( Y2 != none_trm ) )
% 0.26/0.57 => ~ ( ? [V: trm] :
% 0.26/0.57 ( X4
% 0.26/0.57 = ( some_trm @ V ) )
% 0.26/0.57 => ( ( Xa = none_trm )
% 0.26/0.57 => ( Y2 != none_trm ) ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Timeso.elims
% 0.26/0.57 thf(fact_203_trm_Oinject_I5_J,axiom,
% 0.26/0.57 ! [X51: trm,X52: trm,Y51: trm,Y52: trm] :
% 0.26/0.57 ( ( ( plus @ X51 @ X52 )
% 0.26/0.57 = ( plus @ Y51 @ Y52 ) )
% 0.26/0.57 = ( ( X51 = Y51 )
% 0.26/0.57 & ( X52 = Y52 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.inject(5)
% 0.26/0.57 thf(fact_204_trm_Oinject_I6_J,axiom,
% 0.26/0.57 ! [X61: trm,X62: trm,Y61: trm,Y62: trm] :
% 0.26/0.57 ( ( ( times @ X61 @ X62 )
% 0.26/0.57 = ( times @ Y61 @ Y62 ) )
% 0.26/0.57 = ( ( X61 = Y61 )
% 0.26/0.57 & ( X62 = Y62 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.inject(6)
% 0.26/0.57 thf(fact_205_trm_Odistinct_I37_J,axiom,
% 0.26/0.57 ! [X51: trm,X52: trm,X61: trm,X62: trm] :
% 0.26/0.57 ( ( plus @ X51 @ X52 )
% 0.26/0.57 != ( times @ X61 @ X62 ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.distinct(37)
% 0.26/0.57 thf(fact_206_trm_Odistinct_I25_J,axiom,
% 0.26/0.57 ! [X3: char,X51: trm,X52: trm] :
% 0.26/0.57 ( ( const @ X3 )
% 0.26/0.57 != ( plus @ X51 @ X52 ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.distinct(25)
% 0.26/0.57 thf(fact_207_trm_Odistinct_I27_J,axiom,
% 0.26/0.57 ! [X3: char,X61: trm,X62: trm] :
% 0.26/0.57 ( ( const @ X3 )
% 0.26/0.57 != ( times @ X61 @ X62 ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.distinct(27)
% 0.26/0.57 thf(fact_208_trm_Odistinct_I31_J,axiom,
% 0.26/0.57 ! [X41: char,X42: trm,X51: trm,X52: trm] :
% 0.26/0.57 ( ( func @ X41 @ X42 )
% 0.26/0.57 != ( plus @ X51 @ X52 ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.distinct(31)
% 0.26/0.57 thf(fact_209_trm_Odistinct_I33_J,axiom,
% 0.26/0.57 ! [X41: char,X42: trm,X61: trm,X62: trm] :
% 0.26/0.57 ( ( func @ X41 @ X42 )
% 0.26/0.57 != ( times @ X61 @ X62 ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.distinct(33)
% 0.26/0.57 thf(fact_210_usubstappt__times__conv,axiom,
% 0.26/0.57 ! [Sigma2: produc1418842292n_game,U2: set_variable,Theta2: trm,Eta2: trm] :
% 0.26/0.57 ( ( ( uSubst516392818stappt @ Sigma2 @ U2 @ ( times @ Theta2 @ Eta2 ) )
% 0.26/0.57 != none_trm )
% 0.26/0.57 => ( ( ( uSubst516392818stappt @ Sigma2 @ U2 @ Theta2 )
% 0.26/0.57 != none_trm )
% 0.26/0.57 & ( ( uSubst516392818stappt @ Sigma2 @ U2 @ Eta2 )
% 0.26/0.57 != none_trm ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % usubstappt_times_conv
% 0.26/0.57 thf(fact_211_usubstappt__plus__conv,axiom,
% 0.26/0.57 ! [Sigma2: produc1418842292n_game,U2: set_variable,Theta2: trm,Eta2: trm] :
% 0.26/0.57 ( ( ( uSubst516392818stappt @ Sigma2 @ U2 @ ( plus @ Theta2 @ Eta2 ) )
% 0.26/0.57 != none_trm )
% 0.26/0.57 => ( ( ( uSubst516392818stappt @ Sigma2 @ U2 @ Theta2 )
% 0.26/0.57 != none_trm )
% 0.26/0.57 & ( ( uSubst516392818stappt @ Sigma2 @ U2 @ Eta2 )
% 0.26/0.57 != none_trm ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % usubstappt_plus_conv
% 0.26/0.57 thf(fact_212_Timeso_Osimps_I1_J,axiom,
% 0.26/0.57 ! [Theta2: trm,Eta2: trm] :
% 0.26/0.57 ( ( uSubst918876924Timeso @ ( some_trm @ Theta2 ) @ ( some_trm @ Eta2 ) )
% 0.26/0.57 = ( some_trm @ ( times @ Theta2 @ Eta2 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Timeso.simps(1)
% 0.26/0.57 thf(fact_213_Pluso_Osimps_I1_J,axiom,
% 0.26/0.57 ! [Theta2: trm,Eta2: trm] :
% 0.26/0.57 ( ( uSubst141955042_Pluso @ ( some_trm @ Theta2 ) @ ( some_trm @ Eta2 ) )
% 0.26/0.57 = ( some_trm @ ( plus @ Theta2 @ Eta2 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Pluso.simps(1)
% 0.26/0.57 thf(fact_214_usubstappt_Osimps_I6_J,axiom,
% 0.26/0.57 ! [Sigma2: produc1418842292n_game,U2: set_variable,Theta2: trm,Eta2: trm] :
% 0.26/0.57 ( ( uSubst516392818stappt @ Sigma2 @ U2 @ ( times @ Theta2 @ Eta2 ) )
% 0.26/0.57 = ( uSubst918876924Timeso @ ( uSubst516392818stappt @ Sigma2 @ U2 @ Theta2 ) @ ( uSubst516392818stappt @ Sigma2 @ U2 @ Eta2 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % usubstappt.simps(6)
% 0.26/0.57 thf(fact_215_usubstappt_Osimps_I5_J,axiom,
% 0.26/0.57 ! [Sigma2: produc1418842292n_game,U2: set_variable,Theta2: trm,Eta2: trm] :
% 0.26/0.57 ( ( uSubst516392818stappt @ Sigma2 @ U2 @ ( plus @ Theta2 @ Eta2 ) )
% 0.26/0.57 = ( uSubst141955042_Pluso @ ( uSubst516392818stappt @ Sigma2 @ U2 @ Theta2 ) @ ( uSubst516392818stappt @ Sigma2 @ U2 @ Eta2 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % usubstappt.simps(5)
% 0.26/0.57 thf(fact_216_usubstappt_Oelims,axiom,
% 0.26/0.57 ! [X4: produc1418842292n_game,Xa: set_variable,Xb: trm,Y2: option_trm] :
% 0.26/0.57 ( ( ( uSubst516392818stappt @ X4 @ Xa @ Xb )
% 0.26/0.57 = Y2 )
% 0.26/0.57 => ( ! [X2: variable] :
% 0.26/0.57 ( ( Xb
% 0.26/0.57 = ( var @ X2 ) )
% 0.26/0.57 => ( Y2
% 0.26/0.57 != ( some_trm @ ( var @ X2 ) ) ) )
% 0.26/0.57 => ( ! [R3: real] :
% 0.26/0.57 ( ( Xb
% 0.26/0.57 = ( number @ R3 ) )
% 0.26/0.57 => ( Y2
% 0.26/0.57 != ( some_trm @ ( number @ R3 ) ) ) )
% 0.26/0.57 => ( ! [F5: char] :
% 0.26/0.57 ( ( Xb
% 0.26/0.57 = ( const @ F5 ) )
% 0.26/0.57 => ( Y2
% 0.26/0.57 != ( uSubst1559070963pconst @ X4 @ Xa @ F5 ) ) )
% 0.26/0.57 => ( ! [F5: char,Theta: trm] :
% 0.26/0.57 ( ( Xb
% 0.26/0.57 = ( func @ F5 @ Theta ) )
% 0.26/0.57 => ( Y2
% 0.26/0.57 != ( case_o487727941rm_trm @ none_trm
% 0.26/0.57 @ ^ [Sigma_theta2: trm] :
% 0.26/0.57 ( case_o487727941rm_trm @ ( some_trm @ ( func @ F5 @ Sigma_theta2 ) )
% 0.26/0.57 @ ^ [R: trm] :
% 0.26/0.57 ( if_option_trm
% 0.26/0.57 @ ( ( inf_inf_set_variable @ ( static_FVT @ R ) @ Xa )
% 0.26/0.57 = bot_bot_set_variable )
% 0.26/0.57 @ ( uSubst516392818stappt @ ( uSubst1408967625substt @ Sigma_theta2 ) @ bot_bot_set_variable @ R )
% 0.26/0.57 @ none_trm )
% 0.26/0.57 @ ( produc866613687on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [F4: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F4 ) )
% 0.26/0.57 @ X4
% 0.26/0.57 @ F5 ) )
% 0.26/0.57 @ ( uSubst516392818stappt @ X4 @ Xa @ Theta ) ) ) )
% 0.26/0.57 => ( ! [Theta: trm,Eta: trm] :
% 0.26/0.57 ( ( Xb
% 0.26/0.57 = ( plus @ Theta @ Eta ) )
% 0.26/0.57 => ( Y2
% 0.26/0.57 != ( uSubst141955042_Pluso @ ( uSubst516392818stappt @ X4 @ Xa @ Theta ) @ ( uSubst516392818stappt @ X4 @ Xa @ Eta ) ) ) )
% 0.26/0.57 => ( ! [Theta: trm,Eta: trm] :
% 0.26/0.57 ( ( Xb
% 0.26/0.57 = ( times @ Theta @ Eta ) )
% 0.26/0.57 => ( Y2
% 0.26/0.57 != ( uSubst918876924Timeso @ ( uSubst516392818stappt @ X4 @ Xa @ Theta ) @ ( uSubst516392818stappt @ X4 @ Xa @ Eta ) ) ) )
% 0.26/0.57 => ~ ! [Theta: trm] :
% 0.26/0.57 ( ( Xb
% 0.26/0.57 = ( differential @ Theta ) )
% 0.26/0.57 => ( Y2
% 0.26/0.57 != ( uSubst716837505ntialo
% 0.26/0.57 @ ( uSubst516392818stappt @ X4
% 0.26/0.57 @ ( collect_variable
% 0.26/0.57 @ ^ [X: variable] : $true )
% 0.26/0.57 @ Theta ) ) ) ) ) ) ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % usubstappt.elims
% 0.26/0.57 thf(fact_217_usubstappt__induct,axiom,
% 0.26/0.57 ! [P: produc1418842292n_game > set_variable > trm > $o,A0: produc1418842292n_game,A1: set_variable,A22: trm] :
% 0.26/0.57 ( ! [Sigma3: produc1418842292n_game,U3: set_variable,X2: variable] : ( P @ Sigma3 @ U3 @ ( var @ X2 ) )
% 0.26/0.57 => ( ! [Sigma3: produc1418842292n_game,U3: set_variable,R3: real] : ( P @ Sigma3 @ U3 @ ( number @ R3 ) )
% 0.26/0.57 => ( ! [Sigma3: produc1418842292n_game,U3: set_variable,F5: char] : ( P @ Sigma3 @ U3 @ ( const @ F5 ) )
% 0.26/0.57 => ( ! [Sigma3: produc1418842292n_game,U3: set_variable,F5: char,Theta: trm] :
% 0.26/0.57 ( ( P @ Sigma3 @ U3 @ Theta )
% 0.26/0.57 => ( ! [X25: trm] :
% 0.26/0.57 ( ( ( uSubst516392818stappt @ Sigma3 @ U3 @ Theta )
% 0.26/0.57 = ( some_trm @ X25 ) )
% 0.26/0.57 => ! [X2a: trm] :
% 0.26/0.57 ( ( ( produc866613687on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [F4: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F4 ) )
% 0.26/0.57 @ Sigma3
% 0.26/0.57 @ F5 )
% 0.26/0.57 = ( some_trm @ X2a ) )
% 0.26/0.57 => ( ( ( inf_inf_set_variable @ ( static_FVT @ X2a ) @ U3 )
% 0.26/0.57 = bot_bot_set_variable )
% 0.26/0.57 => ( P @ ( uSubst1408967625substt @ X25 ) @ bot_bot_set_variable @ X2a ) ) ) )
% 0.26/0.57 => ( P @ Sigma3 @ U3 @ ( func @ F5 @ Theta ) ) ) )
% 0.26/0.57 => ( ! [Sigma3: produc1418842292n_game,U3: set_variable,Theta: trm] :
% 0.26/0.57 ( ( P @ Sigma3 @ U3 @ Theta )
% 0.26/0.57 => ! [Eta: trm] :
% 0.26/0.57 ( ( P @ Sigma3 @ U3 @ Eta )
% 0.26/0.57 => ( P @ Sigma3 @ U3 @ ( plus @ Theta @ Eta ) ) ) )
% 0.26/0.57 => ( ! [Sigma3: produc1418842292n_game,U3: set_variable,Theta: trm] :
% 0.26/0.57 ( ( P @ Sigma3 @ U3 @ Theta )
% 0.26/0.57 => ! [Eta: trm] :
% 0.26/0.57 ( ( P @ Sigma3 @ U3 @ Eta )
% 0.26/0.57 => ( P @ Sigma3 @ U3 @ ( times @ Theta @ Eta ) ) ) )
% 0.26/0.57 => ( ! [Sigma3: produc1418842292n_game,U3: set_variable,Theta: trm] :
% 0.26/0.57 ( ( P @ Sigma3
% 0.26/0.57 @ ( collect_variable
% 0.26/0.57 @ ^ [X: variable] : $true )
% 0.26/0.57 @ Theta )
% 0.26/0.57 => ( P @ Sigma3 @ U3 @ ( differential @ Theta ) ) )
% 0.26/0.57 => ( P @ A0 @ A1 @ A22 ) ) ) ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % usubstappt_induct
% 0.26/0.57 thf(fact_218_Geqo_Osimps_I3_J,axiom,
% 0.26/0.57 ! [V2: trm] :
% 0.26/0.57 ( ( uSubst152838031e_Geqo @ ( some_trm @ V2 ) @ none_trm )
% 0.26/0.57 = none_fml ) ).
% 0.26/0.57
% 0.26/0.57 % Geqo.simps(3)
% 0.26/0.57 thf(fact_219_combine__options__def,axiom,
% 0.26/0.57 ( combine_options_fml
% 0.26/0.57 = ( ^ [F2: fml > fml > fml,X: option_fml,Y: option_fml] :
% 0.26/0.57 ( case_o209804997ml_fml @ Y
% 0.26/0.57 @ ^ [Z3: fml] :
% 0.26/0.57 ( case_o209804997ml_fml @ ( some_fml @ Z3 )
% 0.26/0.57 @ ^ [Aa: fml] : ( some_fml @ ( F2 @ Z3 @ Aa ) )
% 0.26/0.57 @ Y )
% 0.26/0.57 @ X ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % combine_options_def
% 0.26/0.57 thf(fact_220_combine__options__def,axiom,
% 0.26/0.57 ( combine_options_game
% 0.26/0.57 = ( ^ [F2: game > game > game,X: option_game,Y: option_game] :
% 0.26/0.57 ( case_o696458451e_game @ Y
% 0.26/0.57 @ ^ [Z3: game] :
% 0.26/0.57 ( case_o696458451e_game @ ( some_game @ Z3 )
% 0.26/0.57 @ ^ [Aa: game] : ( some_game @ ( F2 @ Z3 @ Aa ) )
% 0.26/0.57 @ Y )
% 0.26/0.57 @ X ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % combine_options_def
% 0.26/0.57 thf(fact_221_combine__options__def,axiom,
% 0.26/0.57 ( combine_options_trm
% 0.26/0.57 = ( ^ [F2: trm > trm > trm,X: option_trm,Y: option_trm] :
% 0.26/0.57 ( case_o487727941rm_trm @ Y
% 0.26/0.57 @ ^ [Z3: trm] :
% 0.26/0.57 ( case_o487727941rm_trm @ ( some_trm @ Z3 )
% 0.26/0.57 @ ^ [Aa: trm] : ( some_trm @ ( F2 @ Z3 @ Aa ) )
% 0.26/0.57 @ Y )
% 0.26/0.57 @ X ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % combine_options_def
% 0.26/0.57 thf(fact_222_trm_Oinject_I2_J,axiom,
% 0.26/0.57 ! [X22: real,Y22: real] :
% 0.26/0.57 ( ( ( number @ X22 )
% 0.26/0.57 = ( number @ Y22 ) )
% 0.26/0.57 = ( X22 = Y22 ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.inject(2)
% 0.26/0.57 thf(fact_223_trm_Oinject_I1_J,axiom,
% 0.26/0.57 ! [X12: variable,Y1: variable] :
% 0.26/0.57 ( ( ( var @ X12 )
% 0.26/0.57 = ( var @ Y1 ) )
% 0.26/0.57 = ( X12 = Y1 ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.inject(1)
% 0.26/0.57 thf(fact_224_trm_Oinject_I7_J,axiom,
% 0.26/0.57 ! [X7: trm,Y7: trm] :
% 0.26/0.57 ( ( ( differential @ X7 )
% 0.26/0.57 = ( differential @ Y7 ) )
% 0.26/0.57 = ( X7 = Y7 ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.inject(7)
% 0.26/0.57 thf(fact_225_combine__options__simps_I2_J,axiom,
% 0.26/0.57 ! [F3: trm > trm > trm,X4: option_trm] :
% 0.26/0.57 ( ( combine_options_trm @ F3 @ X4 @ none_trm )
% 0.26/0.57 = X4 ) ).
% 0.26/0.57
% 0.26/0.57 % combine_options_simps(2)
% 0.26/0.57 thf(fact_226_combine__options__simps_I2_J,axiom,
% 0.26/0.57 ! [F3: fml > fml > fml,X4: option_fml] :
% 0.26/0.57 ( ( combine_options_fml @ F3 @ X4 @ none_fml )
% 0.26/0.57 = X4 ) ).
% 0.26/0.57
% 0.26/0.57 % combine_options_simps(2)
% 0.26/0.57 thf(fact_227_combine__options__simps_I2_J,axiom,
% 0.26/0.57 ! [F3: game > game > game,X4: option_game] :
% 0.26/0.57 ( ( combine_options_game @ F3 @ X4 @ none_game )
% 0.26/0.57 = X4 ) ).
% 0.26/0.57
% 0.26/0.57 % combine_options_simps(2)
% 0.26/0.57 thf(fact_228_combine__options__simps_I1_J,axiom,
% 0.26/0.57 ! [F3: trm > trm > trm,Y2: option_trm] :
% 0.26/0.57 ( ( combine_options_trm @ F3 @ none_trm @ Y2 )
% 0.26/0.57 = Y2 ) ).
% 0.26/0.57
% 0.26/0.57 % combine_options_simps(1)
% 0.26/0.57 thf(fact_229_combine__options__simps_I1_J,axiom,
% 0.26/0.57 ! [F3: fml > fml > fml,Y2: option_fml] :
% 0.26/0.57 ( ( combine_options_fml @ F3 @ none_fml @ Y2 )
% 0.26/0.57 = Y2 ) ).
% 0.26/0.57
% 0.26/0.57 % combine_options_simps(1)
% 0.26/0.57 thf(fact_230_combine__options__simps_I1_J,axiom,
% 0.26/0.57 ! [F3: game > game > game,Y2: option_game] :
% 0.26/0.57 ( ( combine_options_game @ F3 @ none_game @ Y2 )
% 0.26/0.57 = Y2 ) ).
% 0.26/0.57
% 0.26/0.57 % combine_options_simps(1)
% 0.26/0.57 thf(fact_231_combine__options__simps_I3_J,axiom,
% 0.26/0.57 ! [F3: trm > trm > trm,A: trm,B: trm] :
% 0.26/0.57 ( ( combine_options_trm @ F3 @ ( some_trm @ A ) @ ( some_trm @ B ) )
% 0.26/0.57 = ( some_trm @ ( F3 @ A @ B ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % combine_options_simps(3)
% 0.26/0.57 thf(fact_232_combine__options__simps_I3_J,axiom,
% 0.26/0.57 ! [F3: fml > fml > fml,A: fml,B: fml] :
% 0.26/0.57 ( ( combine_options_fml @ F3 @ ( some_fml @ A ) @ ( some_fml @ B ) )
% 0.26/0.57 = ( some_fml @ ( F3 @ A @ B ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % combine_options_simps(3)
% 0.26/0.57 thf(fact_233_combine__options__simps_I3_J,axiom,
% 0.26/0.57 ! [F3: game > game > game,A: game,B: game] :
% 0.26/0.57 ( ( combine_options_game @ F3 @ ( some_game @ A ) @ ( some_game @ B ) )
% 0.26/0.57 = ( some_game @ ( F3 @ A @ B ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % combine_options_simps(3)
% 0.26/0.57 thf(fact_234_Differentialo_Osimps_I1_J,axiom,
% 0.26/0.57 ! [Theta2: trm] :
% 0.26/0.57 ( ( uSubst716837505ntialo @ ( some_trm @ Theta2 ) )
% 0.26/0.57 = ( some_trm @ ( differential @ Theta2 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Differentialo.simps(1)
% 0.26/0.57 thf(fact_235_trm_Odistinct_I21_J,axiom,
% 0.26/0.57 ! [X22: real,X7: trm] :
% 0.26/0.57 ( ( number @ X22 )
% 0.26/0.57 != ( differential @ X7 ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.distinct(21)
% 0.26/0.57 thf(fact_236_trm_Odistinct_I11_J,axiom,
% 0.26/0.57 ! [X12: variable,X7: trm] :
% 0.26/0.57 ( ( var @ X12 )
% 0.26/0.57 != ( differential @ X7 ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.distinct(11)
% 0.26/0.57 thf(fact_237_trm_Odistinct_I1_J,axiom,
% 0.26/0.57 ! [X12: variable,X22: real] :
% 0.26/0.57 ( ( var @ X12 )
% 0.26/0.57 != ( number @ X22 ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.distinct(1)
% 0.26/0.57 thf(fact_238_usubstappt_Osimps_I7_J,axiom,
% 0.26/0.57 ! [Sigma2: produc1418842292n_game,U2: set_variable,Theta2: trm] :
% 0.26/0.57 ( ( uSubst516392818stappt @ Sigma2 @ U2 @ ( differential @ Theta2 ) )
% 0.26/0.57 = ( uSubst716837505ntialo
% 0.26/0.57 @ ( uSubst516392818stappt @ Sigma2
% 0.26/0.57 @ ( collect_variable
% 0.26/0.57 @ ^ [X: variable] : $true )
% 0.26/0.57 @ Theta2 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % usubstappt.simps(7)
% 0.26/0.57 thf(fact_239_trm_Odistinct_I13_J,axiom,
% 0.26/0.57 ! [X22: real,X3: char] :
% 0.26/0.57 ( ( number @ X22 )
% 0.26/0.57 != ( const @ X3 ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.distinct(13)
% 0.26/0.57 thf(fact_240_trm_Odistinct_I15_J,axiom,
% 0.26/0.57 ! [X22: real,X41: char,X42: trm] :
% 0.26/0.57 ( ( number @ X22 )
% 0.26/0.57 != ( func @ X41 @ X42 ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.distinct(15)
% 0.26/0.57 thf(fact_241_trm_Odistinct_I19_J,axiom,
% 0.26/0.57 ! [X22: real,X61: trm,X62: trm] :
% 0.26/0.57 ( ( number @ X22 )
% 0.26/0.57 != ( times @ X61 @ X62 ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.distinct(19)
% 0.26/0.57 thf(fact_242_trm_Odistinct_I17_J,axiom,
% 0.26/0.57 ! [X22: real,X51: trm,X52: trm] :
% 0.26/0.57 ( ( number @ X22 )
% 0.26/0.57 != ( plus @ X51 @ X52 ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.distinct(17)
% 0.26/0.57 thf(fact_243_Differentialo_Oelims,axiom,
% 0.26/0.57 ! [X4: option_trm,Y2: option_trm] :
% 0.26/0.57 ( ( ( uSubst716837505ntialo @ X4 )
% 0.26/0.57 = Y2 )
% 0.26/0.57 => ( ! [Theta: trm] :
% 0.26/0.57 ( ( X4
% 0.26/0.57 = ( some_trm @ Theta ) )
% 0.26/0.57 => ( Y2
% 0.26/0.57 != ( some_trm @ ( differential @ Theta ) ) ) )
% 0.26/0.57 => ~ ( ( X4 = none_trm )
% 0.26/0.57 => ( Y2 != none_trm ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Differentialo.elims
% 0.26/0.57 thf(fact_244_trm_Odistinct_I3_J,axiom,
% 0.26/0.57 ! [X12: variable,X3: char] :
% 0.26/0.57 ( ( var @ X12 )
% 0.26/0.57 != ( const @ X3 ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.distinct(3)
% 0.26/0.57 thf(fact_245_trm_Odistinct_I5_J,axiom,
% 0.26/0.57 ! [X12: variable,X41: char,X42: trm] :
% 0.26/0.57 ( ( var @ X12 )
% 0.26/0.57 != ( func @ X41 @ X42 ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.distinct(5)
% 0.26/0.57 thf(fact_246_trm_Odistinct_I9_J,axiom,
% 0.26/0.57 ! [X12: variable,X61: trm,X62: trm] :
% 0.26/0.57 ( ( var @ X12 )
% 0.26/0.57 != ( times @ X61 @ X62 ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.distinct(9)
% 0.26/0.57 thf(fact_247_trm_Odistinct_I7_J,axiom,
% 0.26/0.57 ! [X12: variable,X51: trm,X52: trm] :
% 0.26/0.57 ( ( var @ X12 )
% 0.26/0.57 != ( plus @ X51 @ X52 ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.distinct(7)
% 0.26/0.57 thf(fact_248_trm_Odistinct_I29_J,axiom,
% 0.26/0.57 ! [X3: char,X7: trm] :
% 0.26/0.57 ( ( const @ X3 )
% 0.26/0.57 != ( differential @ X7 ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.distinct(29)
% 0.26/0.57 thf(fact_249_trm_Odistinct_I35_J,axiom,
% 0.26/0.57 ! [X41: char,X42: trm,X7: trm] :
% 0.26/0.57 ( ( func @ X41 @ X42 )
% 0.26/0.57 != ( differential @ X7 ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.distinct(35)
% 0.26/0.57 thf(fact_250_trm_Odistinct_I41_J,axiom,
% 0.26/0.57 ! [X61: trm,X62: trm,X7: trm] :
% 0.26/0.57 ( ( times @ X61 @ X62 )
% 0.26/0.57 != ( differential @ X7 ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.distinct(41)
% 0.26/0.57 thf(fact_251_trm_Odistinct_I39_J,axiom,
% 0.26/0.57 ! [X51: trm,X52: trm,X7: trm] :
% 0.26/0.57 ( ( plus @ X51 @ X52 )
% 0.26/0.57 != ( differential @ X7 ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.distinct(39)
% 0.26/0.57 thf(fact_252_trm_Oexhaust,axiom,
% 0.26/0.57 ! [Y2: trm] :
% 0.26/0.57 ( ! [X13: variable] :
% 0.26/0.57 ( Y2
% 0.26/0.57 != ( var @ X13 ) )
% 0.26/0.57 => ( ! [X23: real] :
% 0.26/0.57 ( Y2
% 0.26/0.57 != ( number @ X23 ) )
% 0.26/0.57 => ( ! [X32: char] :
% 0.26/0.57 ( Y2
% 0.26/0.57 != ( const @ X32 ) )
% 0.26/0.57 => ( ! [X412: char,X422: trm] :
% 0.26/0.57 ( Y2
% 0.26/0.57 != ( func @ X412 @ X422 ) )
% 0.26/0.57 => ( ! [X512: trm,X522: trm] :
% 0.26/0.57 ( Y2
% 0.26/0.57 != ( plus @ X512 @ X522 ) )
% 0.26/0.57 => ( ! [X612: trm,X622: trm] :
% 0.26/0.57 ( Y2
% 0.26/0.57 != ( times @ X612 @ X622 ) )
% 0.26/0.57 => ~ ! [X72: trm] :
% 0.26/0.57 ( Y2
% 0.26/0.57 != ( differential @ X72 ) ) ) ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.exhaust
% 0.26/0.57 thf(fact_253_trm_Oinduct,axiom,
% 0.26/0.57 ! [P: trm > $o,Trm: trm] :
% 0.26/0.57 ( ! [X2: variable] : ( P @ ( var @ X2 ) )
% 0.26/0.57 => ( ! [X2: real] : ( P @ ( number @ X2 ) )
% 0.26/0.57 => ( ! [X2: char] : ( P @ ( const @ X2 ) )
% 0.26/0.57 => ( ! [X1a: char,X2a2: trm] :
% 0.26/0.57 ( ( P @ X2a2 )
% 0.26/0.57 => ( P @ ( func @ X1a @ X2a2 ) ) )
% 0.26/0.57 => ( ! [X1a: trm,X2a2: trm] :
% 0.26/0.57 ( ( P @ X1a )
% 0.26/0.57 => ( ( P @ X2a2 )
% 0.26/0.57 => ( P @ ( plus @ X1a @ X2a2 ) ) ) )
% 0.26/0.57 => ( ! [X1a: trm,X2a2: trm] :
% 0.26/0.57 ( ( P @ X1a )
% 0.26/0.57 => ( ( P @ X2a2 )
% 0.26/0.57 => ( P @ ( times @ X1a @ X2a2 ) ) ) )
% 0.26/0.57 => ( ! [X2: trm] :
% 0.26/0.57 ( ( P @ X2 )
% 0.26/0.57 => ( P @ ( differential @ X2 ) ) )
% 0.26/0.57 => ( P @ Trm ) ) ) ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % trm.induct
% 0.26/0.57 thf(fact_254_Geqo_Osimps_I2_J,axiom,
% 0.26/0.57 ! [Eta2: option_trm] :
% 0.26/0.57 ( ( uSubst152838031e_Geqo @ none_trm @ Eta2 )
% 0.26/0.57 = none_fml ) ).
% 0.26/0.57
% 0.26/0.57 % Geqo.simps(2)
% 0.26/0.57 thf(fact_255_Geqo__undef,axiom,
% 0.26/0.57 ! [Theta2: option_trm,Eta2: option_trm] :
% 0.26/0.57 ( ( ( uSubst152838031e_Geqo @ Theta2 @ Eta2 )
% 0.26/0.57 = none_fml )
% 0.26/0.57 = ( ( Theta2 = none_trm )
% 0.26/0.57 | ( Eta2 = none_trm ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % Geqo_undef
% 0.26/0.57 thf(fact_256_Differentialo_Osimps_I2_J,axiom,
% 0.26/0.57 ( ( uSubst716837505ntialo @ none_trm )
% 0.26/0.57 = none_trm ) ).
% 0.26/0.57
% 0.26/0.57 % Differentialo.simps(2)
% 0.26/0.57 thf(fact_257_Differentialo__undef,axiom,
% 0.26/0.57 ! [Theta2: option_trm] :
% 0.26/0.57 ( ( ( uSubst716837505ntialo @ Theta2 )
% 0.26/0.57 = none_trm )
% 0.26/0.57 = ( Theta2 = none_trm ) ) ).
% 0.26/0.57
% 0.26/0.57 % Differentialo_undef
% 0.26/0.57 thf(fact_258_usubstappt_Osimps_I2_J,axiom,
% 0.26/0.57 ! [Sigma2: produc1418842292n_game,U2: set_variable,R2: real] :
% 0.26/0.57 ( ( uSubst516392818stappt @ Sigma2 @ U2 @ ( number @ R2 ) )
% 0.26/0.57 = ( some_trm @ ( number @ R2 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % usubstappt.simps(2)
% 0.26/0.57 thf(fact_259_usubstappt_Osimps_I1_J,axiom,
% 0.26/0.57 ! [Sigma2: produc1418842292n_game,U2: set_variable,X4: variable] :
% 0.26/0.57 ( ( uSubst516392818stappt @ Sigma2 @ U2 @ ( var @ X4 ) )
% 0.26/0.57 = ( some_trm @ ( var @ X4 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % usubstappt.simps(1)
% 0.26/0.57 thf(fact_260_usubstappt__differential__conv,axiom,
% 0.26/0.57 ! [Sigma2: produc1418842292n_game,U2: set_variable,Theta2: trm] :
% 0.26/0.57 ( ( ( uSubst516392818stappt @ Sigma2 @ U2 @ ( differential @ Theta2 ) )
% 0.26/0.57 != none_trm )
% 0.26/0.57 => ( ( uSubst516392818stappt @ Sigma2
% 0.26/0.57 @ ( collect_variable
% 0.26/0.57 @ ^ [X: variable] : $true )
% 0.26/0.57 @ Theta2 )
% 0.26/0.57 != none_trm ) ) ).
% 0.26/0.57
% 0.26/0.57 % usubstappt_differential_conv
% 0.26/0.57 thf(fact_261_usubstappt_Opelims,axiom,
% 0.26/0.57 ! [X4: produc1418842292n_game,Xa: set_variable,Xb: trm,Y2: option_trm] :
% 0.26/0.57 ( ( ( uSubst516392818stappt @ X4 @ Xa @ Xb )
% 0.26/0.57 = Y2 )
% 0.26/0.57 => ( ( accp_P1877119646le_trm @ uSubst1917534215pt_rel @ ( produc2015636557le_trm @ X4 @ ( produc1482344242le_trm @ Xa @ Xb ) ) )
% 0.26/0.57 => ( ! [X2: variable] :
% 0.26/0.57 ( ( Xb
% 0.26/0.57 = ( var @ X2 ) )
% 0.26/0.57 => ( ( Y2
% 0.26/0.57 = ( some_trm @ ( var @ X2 ) ) )
% 0.26/0.57 => ~ ( accp_P1877119646le_trm @ uSubst1917534215pt_rel @ ( produc2015636557le_trm @ X4 @ ( produc1482344242le_trm @ Xa @ ( var @ X2 ) ) ) ) ) )
% 0.26/0.57 => ( ! [R3: real] :
% 0.26/0.57 ( ( Xb
% 0.26/0.57 = ( number @ R3 ) )
% 0.26/0.57 => ( ( Y2
% 0.26/0.57 = ( some_trm @ ( number @ R3 ) ) )
% 0.26/0.57 => ~ ( accp_P1877119646le_trm @ uSubst1917534215pt_rel @ ( produc2015636557le_trm @ X4 @ ( produc1482344242le_trm @ Xa @ ( number @ R3 ) ) ) ) ) )
% 0.26/0.57 => ( ! [F5: char] :
% 0.26/0.57 ( ( Xb
% 0.26/0.57 = ( const @ F5 ) )
% 0.26/0.57 => ( ( Y2
% 0.26/0.57 = ( uSubst1559070963pconst @ X4 @ Xa @ F5 ) )
% 0.26/0.57 => ~ ( accp_P1877119646le_trm @ uSubst1917534215pt_rel @ ( produc2015636557le_trm @ X4 @ ( produc1482344242le_trm @ Xa @ ( const @ F5 ) ) ) ) ) )
% 0.26/0.57 => ( ! [F5: char,Theta: trm] :
% 0.26/0.57 ( ( Xb
% 0.26/0.57 = ( func @ F5 @ Theta ) )
% 0.26/0.57 => ( ( Y2
% 0.26/0.57 = ( case_o487727941rm_trm @ none_trm
% 0.26/0.57 @ ^ [Sigma_theta2: trm] :
% 0.26/0.57 ( case_o487727941rm_trm @ ( some_trm @ ( func @ F5 @ Sigma_theta2 ) )
% 0.26/0.57 @ ^ [R: trm] :
% 0.26/0.57 ( if_option_trm
% 0.26/0.57 @ ( ( inf_inf_set_variable @ ( static_FVT @ R ) @ Xa )
% 0.26/0.57 = bot_bot_set_variable )
% 0.26/0.57 @ ( uSubst516392818stappt @ ( uSubst1408967625substt @ Sigma_theta2 ) @ bot_bot_set_variable @ R )
% 0.26/0.57 @ none_trm )
% 0.26/0.57 @ ( produc866613687on_trm
% 0.26/0.57 @ ^ [Uu: char > option_trm] :
% 0.26/0.57 ( produc1231571704on_trm
% 0.26/0.57 @ ^ [F4: char > option_trm] :
% 0.26/0.57 ( produc1036610745on_trm
% 0.26/0.57 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F4 ) )
% 0.26/0.57 @ X4
% 0.26/0.57 @ F5 ) )
% 0.26/0.57 @ ( uSubst516392818stappt @ X4 @ Xa @ Theta ) ) )
% 0.26/0.57 => ~ ( accp_P1877119646le_trm @ uSubst1917534215pt_rel @ ( produc2015636557le_trm @ X4 @ ( produc1482344242le_trm @ Xa @ ( func @ F5 @ Theta ) ) ) ) ) )
% 0.26/0.57 => ( ! [Theta: trm,Eta: trm] :
% 0.26/0.57 ( ( Xb
% 0.26/0.57 = ( plus @ Theta @ Eta ) )
% 0.26/0.57 => ( ( Y2
% 0.26/0.57 = ( uSubst141955042_Pluso @ ( uSubst516392818stappt @ X4 @ Xa @ Theta ) @ ( uSubst516392818stappt @ X4 @ Xa @ Eta ) ) )
% 0.26/0.57 => ~ ( accp_P1877119646le_trm @ uSubst1917534215pt_rel @ ( produc2015636557le_trm @ X4 @ ( produc1482344242le_trm @ Xa @ ( plus @ Theta @ Eta ) ) ) ) ) )
% 0.26/0.57 => ( ! [Theta: trm,Eta: trm] :
% 0.26/0.57 ( ( Xb
% 0.26/0.57 = ( times @ Theta @ Eta ) )
% 0.26/0.57 => ( ( Y2
% 0.26/0.57 = ( uSubst918876924Timeso @ ( uSubst516392818stappt @ X4 @ Xa @ Theta ) @ ( uSubst516392818stappt @ X4 @ Xa @ Eta ) ) )
% 0.26/0.57 => ~ ( accp_P1877119646le_trm @ uSubst1917534215pt_rel @ ( produc2015636557le_trm @ X4 @ ( produc1482344242le_trm @ Xa @ ( times @ Theta @ Eta ) ) ) ) ) )
% 0.26/0.57 => ~ ! [Theta: trm] :
% 0.26/0.57 ( ( Xb
% 0.26/0.57 = ( differential @ Theta ) )
% 0.26/0.57 => ( ( Y2
% 0.26/0.57 = ( uSubst716837505ntialo
% 0.26/0.57 @ ( uSubst516392818stappt @ X4
% 0.26/0.57 @ ( collect_variable
% 0.26/0.57 @ ^ [X: variable] : $true )
% 0.26/0.57 @ Theta ) ) )
% 0.26/0.57 => ~ ( accp_P1877119646le_trm @ uSubst1917534215pt_rel @ ( produc2015636557le_trm @ X4 @ ( produc1482344242le_trm @ Xa @ ( differential @ Theta ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % usubstappt.pelims
% 0.26/0.57 thf(fact_262_term__sem_Ocases,axiom,
% 0.26/0.57 ! [X4: produc833882726rp_trm] :
% 0.26/0.57 ( ! [I: denotational_interp,X2: variable] :
% 0.26/0.57 ( X4
% 0.26/0.57 != ( produc1132922070rp_trm @ I @ ( var @ X2 ) ) )
% 0.26/0.57 => ( ! [I: denotational_interp,R3: real] :
% 0.26/0.57 ( X4
% 0.26/0.57 != ( produc1132922070rp_trm @ I @ ( number @ R3 ) ) )
% 0.26/0.57 => ( ! [I: denotational_interp,F5: char] :
% 0.26/0.57 ( X4
% 0.26/0.57 != ( produc1132922070rp_trm @ I @ ( const @ F5 ) ) )
% 0.26/0.57 => ( ! [I: denotational_interp,F5: char,Theta: trm] :
% 0.26/0.57 ( X4
% 0.26/0.57 != ( produc1132922070rp_trm @ I @ ( func @ F5 @ Theta ) ) )
% 0.26/0.57 => ( ! [I: denotational_interp,Theta: trm,Eta: trm] :
% 0.26/0.57 ( X4
% 0.26/0.57 != ( produc1132922070rp_trm @ I @ ( plus @ Theta @ Eta ) ) )
% 0.26/0.57 => ( ! [I: denotational_interp,Theta: trm,Eta: trm] :
% 0.26/0.57 ( X4
% 0.26/0.57 != ( produc1132922070rp_trm @ I @ ( times @ Theta @ Eta ) ) )
% 0.26/0.57 => ~ ! [I: denotational_interp,Theta: trm] :
% 0.26/0.57 ( X4
% 0.26/0.57 != ( produc1132922070rp_trm @ I @ ( differential @ Theta ) ) ) ) ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % term_sem.cases
% 0.26/0.57 thf(fact_263_term__sem_Oinduct,axiom,
% 0.26/0.57 ! [P: denotational_interp > trm > $o,A0: denotational_interp,A1: trm] :
% 0.26/0.57 ( ! [I: denotational_interp,X2: variable] : ( P @ I @ ( var @ X2 ) )
% 0.26/0.57 => ( ! [I: denotational_interp,R3: real] : ( P @ I @ ( number @ R3 ) )
% 0.26/0.57 => ( ! [I: denotational_interp,F5: char] : ( P @ I @ ( const @ F5 ) )
% 0.26/0.57 => ( ! [I: denotational_interp,F5: char,Theta: trm] :
% 0.26/0.57 ( ( P @ I @ Theta )
% 0.26/0.57 => ( P @ I @ ( func @ F5 @ Theta ) ) )
% 0.26/0.57 => ( ! [I: denotational_interp,Theta: trm] :
% 0.26/0.57 ( ( P @ I @ Theta )
% 0.26/0.57 => ! [Eta: trm] :
% 0.26/0.57 ( ( P @ I @ Eta )
% 0.26/0.57 => ( P @ I @ ( plus @ Theta @ Eta ) ) ) )
% 0.26/0.57 => ( ! [I: denotational_interp,Theta: trm] :
% 0.26/0.57 ( ( P @ I @ Theta )
% 0.26/0.57 => ! [Eta: trm] :
% 0.26/0.57 ( ( P @ I @ Eta )
% 0.26/0.57 => ( P @ I @ ( times @ Theta @ Eta ) ) ) )
% 0.26/0.57 => ( ! [I: denotational_interp,Theta: trm] :
% 0.26/0.57 ( ( ? [Xa2: char] :
% 0.26/0.57 ( member_char @ Xa2
% 0.26/0.57 @ ( collect_char
% 0.26/0.57 @ ^ [Uu: char] : $true ) )
% 0.26/0.57 => ( P @ I @ Theta ) )
% 0.26/0.57 => ( P @ I @ ( differential @ Theta ) ) )
% 0.26/0.57 => ( P @ A0 @ A1 ) ) ) ) ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % term_sem.induct
% 0.26/0.57 thf(fact_264_old_Oprod_Oinject,axiom,
% 0.26/0.57 ! [A: char,B: option_trm,A6: char,B6: option_trm] :
% 0.26/0.57 ( ( ( produc1500300866on_trm @ A @ B )
% 0.26/0.57 = ( produc1500300866on_trm @ A6 @ B6 ) )
% 0.26/0.57 = ( ( A = A6 )
% 0.26/0.57 & ( B = B6 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % old.prod.inject
% 0.26/0.57 thf(fact_265_old_Oprod_Oinject,axiom,
% 0.26/0.57 ! [A: set_variable,B: trm,A6: set_variable,B6: trm] :
% 0.26/0.57 ( ( ( produc1482344242le_trm @ A @ B )
% 0.26/0.57 = ( produc1482344242le_trm @ A6 @ B6 ) )
% 0.26/0.57 = ( ( A = A6 )
% 0.26/0.57 & ( B = B6 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % old.prod.inject
% 0.26/0.57 thf(fact_266_old_Oprod_Oinject,axiom,
% 0.26/0.57 ! [A: char > option_trm,B: produc62062515n_game,A6: char > option_trm,B6: produc62062515n_game] :
% 0.26/0.57 ( ( ( produc1618635950n_game @ A @ B )
% 0.26/0.57 = ( produc1618635950n_game @ A6 @ B6 ) )
% 0.26/0.57 = ( ( A = A6 )
% 0.26/0.57 & ( B = B6 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % old.prod.inject
% 0.26/0.57 thf(fact_267_old_Oprod_Oinject,axiom,
% 0.26/0.57 ! [A: char > option_trm,B: produc799602994n_game,A6: char > option_trm,B6: produc799602994n_game] :
% 0.26/0.57 ( ( ( produc1048060077n_game @ A @ B )
% 0.26/0.57 = ( produc1048060077n_game @ A6 @ B6 ) )
% 0.26/0.57 = ( ( A = A6 )
% 0.26/0.57 & ( B = B6 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % old.prod.inject
% 0.26/0.57 thf(fact_268_old_Oprod_Oinject,axiom,
% 0.26/0.57 ! [A: char > option_fml,B: char > option_game,A6: char > option_fml,B6: char > option_game] :
% 0.26/0.57 ( ( ( produc123610156n_game @ A @ B )
% 0.26/0.57 = ( produc123610156n_game @ A6 @ B6 ) )
% 0.26/0.57 = ( ( A = A6 )
% 0.26/0.57 & ( B = B6 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % old.prod.inject
% 0.26/0.57 thf(fact_269_prod_Oinject,axiom,
% 0.26/0.57 ! [X12: char,X22: option_trm,Y1: char,Y22: option_trm] :
% 0.26/0.57 ( ( ( produc1500300866on_trm @ X12 @ X22 )
% 0.26/0.57 = ( produc1500300866on_trm @ Y1 @ Y22 ) )
% 0.26/0.57 = ( ( X12 = Y1 )
% 0.26/0.57 & ( X22 = Y22 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % prod.inject
% 0.26/0.57 thf(fact_270_prod_Oinject,axiom,
% 0.26/0.57 ! [X12: set_variable,X22: trm,Y1: set_variable,Y22: trm] :
% 0.26/0.57 ( ( ( produc1482344242le_trm @ X12 @ X22 )
% 0.26/0.57 = ( produc1482344242le_trm @ Y1 @ Y22 ) )
% 0.26/0.57 = ( ( X12 = Y1 )
% 0.26/0.57 & ( X22 = Y22 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % prod.inject
% 0.26/0.57 thf(fact_271_prod_Oinject,axiom,
% 0.26/0.57 ! [X12: char > option_trm,X22: produc62062515n_game,Y1: char > option_trm,Y22: produc62062515n_game] :
% 0.26/0.57 ( ( ( produc1618635950n_game @ X12 @ X22 )
% 0.26/0.57 = ( produc1618635950n_game @ Y1 @ Y22 ) )
% 0.26/0.57 = ( ( X12 = Y1 )
% 0.26/0.57 & ( X22 = Y22 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % prod.inject
% 0.26/0.57 thf(fact_272_prod_Oinject,axiom,
% 0.26/0.57 ! [X12: char > option_trm,X22: produc799602994n_game,Y1: char > option_trm,Y22: produc799602994n_game] :
% 0.26/0.57 ( ( ( produc1048060077n_game @ X12 @ X22 )
% 0.26/0.57 = ( produc1048060077n_game @ Y1 @ Y22 ) )
% 0.26/0.57 = ( ( X12 = Y1 )
% 0.26/0.57 & ( X22 = Y22 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % prod.inject
% 0.26/0.57 thf(fact_273_prod_Oinject,axiom,
% 0.26/0.57 ! [X12: char > option_fml,X22: char > option_game,Y1: char > option_fml,Y22: char > option_game] :
% 0.26/0.57 ( ( ( produc123610156n_game @ X12 @ X22 )
% 0.26/0.57 = ( produc123610156n_game @ Y1 @ Y22 ) )
% 0.26/0.57 = ( ( X12 = Y1 )
% 0.26/0.57 & ( X22 = Y22 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % prod.inject
% 0.26/0.57 thf(fact_274_case__prodI,axiom,
% 0.26/0.57 ! [F3: char > option_trm > $o,A: char,B: option_trm] :
% 0.26/0.57 ( ( F3 @ A @ B )
% 0.26/0.57 => ( produc584666985_trm_o @ F3 @ ( produc1500300866on_trm @ A @ B ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % case_prodI
% 0.26/0.57 thf(fact_275_case__prodI,axiom,
% 0.26/0.57 ! [F3: set_variable > trm > $o,A: set_variable,B: trm] :
% 0.26/0.57 ( ( F3 @ A @ B )
% 0.26/0.57 => ( produc82209913_trm_o @ F3 @ ( produc1482344242le_trm @ A @ B ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % case_prodI
% 0.26/0.57 thf(fact_276_case__prodI,axiom,
% 0.26/0.57 ! [F3: ( char > option_trm ) > produc62062515n_game > $o,A: char > option_trm,B: produc62062515n_game] :
% 0.26/0.57 ( ( F3 @ A @ B )
% 0.26/0.57 => ( produc1707653117game_o @ F3 @ ( produc1618635950n_game @ A @ B ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % case_prodI
% 0.26/0.57 thf(fact_277_case__prodI,axiom,
% 0.26/0.57 ! [F3: ( char > option_trm ) > produc799602994n_game > $o,A: char > option_trm,B: produc799602994n_game] :
% 0.26/0.57 ( ( F3 @ A @ B )
% 0.26/0.57 => ( produc1868740670game_o @ F3 @ ( produc1048060077n_game @ A @ B ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % case_prodI
% 0.26/0.57 thf(fact_278_case__prodI,axiom,
% 0.26/0.57 ! [F3: ( char > option_fml ) > ( char > option_game ) > $o,A: char > option_fml,B: char > option_game] :
% 0.26/0.57 ( ( F3 @ A @ B )
% 0.26/0.57 => ( produc159680767game_o @ F3 @ ( produc123610156n_game @ A @ B ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % case_prodI
% 0.26/0.57 thf(fact_279_case__prodI2,axiom,
% 0.26/0.57 ! [P4: produc464795408on_trm,C: char > option_trm > $o] :
% 0.26/0.57 ( ! [A4: char,B4: option_trm] :
% 0.26/0.57 ( ( P4
% 0.26/0.57 = ( produc1500300866on_trm @ A4 @ B4 ) )
% 0.26/0.57 => ( C @ A4 @ B4 ) )
% 0.26/0.57 => ( produc584666985_trm_o @ C @ P4 ) ) ).
% 0.26/0.57
% 0.26/0.57 % case_prodI2
% 0.26/0.57 thf(fact_280_case__prodI2,axiom,
% 0.26/0.57 ! [P4: produc1367888000le_trm,C: set_variable > trm > $o] :
% 0.26/0.57 ( ! [A4: set_variable,B4: trm] :
% 0.26/0.57 ( ( P4
% 0.26/0.57 = ( produc1482344242le_trm @ A4 @ B4 ) )
% 0.26/0.57 => ( C @ A4 @ B4 ) )
% 0.26/0.57 => ( produc82209913_trm_o @ C @ P4 ) ) ).
% 0.26/0.57
% 0.26/0.57 % case_prodI2
% 0.26/0.57 thf(fact_281_case__prodI2,axiom,
% 0.26/0.57 ! [P4: produc1418842292n_game,C: ( char > option_trm ) > produc62062515n_game > $o] :
% 0.26/0.57 ( ! [A4: char > option_trm,B4: produc62062515n_game] :
% 0.26/0.57 ( ( P4
% 0.26/0.57 = ( produc1618635950n_game @ A4 @ B4 ) )
% 0.26/0.57 => ( C @ A4 @ B4 ) )
% 0.26/0.57 => ( produc1707653117game_o @ C @ P4 ) ) ).
% 0.26/0.57
% 0.26/0.57 % case_prodI2
% 0.26/0.57 thf(fact_282_case__prodI2,axiom,
% 0.26/0.57 ! [P4: produc62062515n_game,C: ( char > option_trm ) > produc799602994n_game > $o] :
% 0.26/0.57 ( ! [A4: char > option_trm,B4: produc799602994n_game] :
% 0.26/0.57 ( ( P4
% 0.26/0.57 = ( produc1048060077n_game @ A4 @ B4 ) )
% 0.26/0.57 => ( C @ A4 @ B4 ) )
% 0.26/0.57 => ( produc1868740670game_o @ C @ P4 ) ) ).
% 0.26/0.57
% 0.26/0.57 % case_prodI2
% 0.26/0.57 thf(fact_283_case__prodI2,axiom,
% 0.26/0.57 ! [P4: produc799602994n_game,C: ( char > option_fml ) > ( char > option_game ) > $o] :
% 0.26/0.57 ( ! [A4: char > option_fml,B4: char > option_game] :
% 0.26/0.57 ( ( P4
% 0.26/0.57 = ( produc123610156n_game @ A4 @ B4 ) )
% 0.26/0.57 => ( C @ A4 @ B4 ) )
% 0.26/0.57 => ( produc159680767game_o @ C @ P4 ) ) ).
% 0.26/0.57
% 0.26/0.57 % case_prodI2
% 0.26/0.57 thf(fact_284_mem__case__prodI,axiom,
% 0.26/0.57 ! [Z2: char,C: char > option_trm > set_char,A: char,B: option_trm] :
% 0.26/0.57 ( ( member_char @ Z2 @ ( C @ A @ B ) )
% 0.26/0.57 => ( member_char @ Z2 @ ( produc33263478t_char @ C @ ( produc1500300866on_trm @ A @ B ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % mem_case_prodI
% 0.26/0.57 thf(fact_285_mem__case__prodI,axiom,
% 0.26/0.57 ! [Z2: char,C: set_variable > trm > set_char,A: set_variable,B: trm] :
% 0.26/0.57 ( ( member_char @ Z2 @ ( C @ A @ B ) )
% 0.26/0.57 => ( member_char @ Z2 @ ( produc836445798t_char @ C @ ( produc1482344242le_trm @ A @ B ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % mem_case_prodI
% 0.26/0.57 thf(fact_286_mem__case__prodI,axiom,
% 0.26/0.57 ! [Z2: char,C: ( char > option_trm ) > produc62062515n_game > set_char,A: char > option_trm,B: produc62062515n_game] :
% 0.26/0.57 ( ( member_char @ Z2 @ ( C @ A @ B ) )
% 0.26/0.57 => ( member_char @ Z2 @ ( produc1002100706t_char @ C @ ( produc1618635950n_game @ A @ B ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % mem_case_prodI
% 0.26/0.57 thf(fact_287_mem__case__prodI,axiom,
% 0.26/0.57 ! [Z2: char,C: ( char > option_trm ) > produc799602994n_game > set_char,A: char > option_trm,B: produc799602994n_game] :
% 0.26/0.57 ( ( member_char @ Z2 @ ( C @ A @ B ) )
% 0.26/0.57 => ( member_char @ Z2 @ ( produc1554403041t_char @ C @ ( produc1048060077n_game @ A @ B ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % mem_case_prodI
% 0.26/0.57 thf(fact_288_mem__case__prodI,axiom,
% 0.26/0.57 ! [Z2: char,C: ( char > option_fml ) > ( char > option_game ) > set_char,A: char > option_fml,B: char > option_game] :
% 0.26/0.57 ( ( member_char @ Z2 @ ( C @ A @ B ) )
% 0.26/0.57 => ( member_char @ Z2 @ ( produc629249376t_char @ C @ ( produc123610156n_game @ A @ B ) ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % mem_case_prodI
% 0.26/0.57 thf(fact_289_mem__case__prodI2,axiom,
% 0.26/0.57 ! [P4: produc464795408on_trm,Z2: char,C: char > option_trm > set_char] :
% 0.26/0.57 ( ! [A4: char,B4: option_trm] :
% 0.26/0.57 ( ( P4
% 0.26/0.57 = ( produc1500300866on_trm @ A4 @ B4 ) )
% 0.26/0.57 => ( member_char @ Z2 @ ( C @ A4 @ B4 ) ) )
% 0.26/0.57 => ( member_char @ Z2 @ ( produc33263478t_char @ C @ P4 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % mem_case_prodI2
% 0.26/0.57 thf(fact_290_mem__case__prodI2,axiom,
% 0.26/0.57 ! [P4: produc1367888000le_trm,Z2: char,C: set_variable > trm > set_char] :
% 0.26/0.57 ( ! [A4: set_variable,B4: trm] :
% 0.26/0.57 ( ( P4
% 0.26/0.57 = ( produc1482344242le_trm @ A4 @ B4 ) )
% 0.26/0.57 => ( member_char @ Z2 @ ( C @ A4 @ B4 ) ) )
% 0.26/0.57 => ( member_char @ Z2 @ ( produc836445798t_char @ C @ P4 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % mem_case_prodI2
% 0.26/0.57 thf(fact_291_mem__case__prodI2,axiom,
% 0.26/0.57 ! [P4: produc1418842292n_game,Z2: char,C: ( char > option_trm ) > produc62062515n_game > set_char] :
% 0.26/0.57 ( ! [A4: char > option_trm,B4: produc62062515n_game] :
% 0.26/0.57 ( ( P4
% 0.26/0.57 = ( produc1618635950n_game @ A4 @ B4 ) )
% 0.26/0.57 => ( member_char @ Z2 @ ( C @ A4 @ B4 ) ) )
% 0.26/0.57 => ( member_char @ Z2 @ ( produc1002100706t_char @ C @ P4 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % mem_case_prodI2
% 0.26/0.57 thf(fact_292_mem__case__prodI2,axiom,
% 0.26/0.57 ! [P4: produc62062515n_game,Z2: char,C: ( char > option_trm ) > produc799602994n_game > set_char] :
% 0.26/0.57 ( ! [A4: char > option_trm,B4: produc799602994n_game] :
% 0.26/0.57 ( ( P4
% 0.26/0.57 = ( produc1048060077n_game @ A4 @ B4 ) )
% 0.26/0.57 => ( member_char @ Z2 @ ( C @ A4 @ B4 ) ) )
% 0.26/0.57 => ( member_char @ Z2 @ ( produc1554403041t_char @ C @ P4 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % mem_case_prodI2
% 0.26/0.57 thf(fact_293_mem__case__prodI2,axiom,
% 0.26/0.57 ! [P4: produc799602994n_game,Z2: char,C: ( char > option_fml ) > ( char > option_game ) > set_char] :
% 0.26/0.57 ( ! [A4: char > option_fml,B4: char > option_game] :
% 0.26/0.57 ( ( P4
% 0.26/0.57 = ( produc123610156n_game @ A4 @ B4 ) )
% 0.26/0.57 => ( member_char @ Z2 @ ( C @ A4 @ B4 ) ) )
% 0.26/0.57 => ( member_char @ Z2 @ ( produc629249376t_char @ C @ P4 ) ) ) ).
% 0.26/0.57
% 0.26/0.57 % mem_case_prodI2
% 0.26/0.57 thf(fact_294_case__prod__conv,axiom,
% 0.26/0.57 ! [F3: ( char > option_trm ) > produc62062515n_game > char > option_fml,A: char > option_trm,B: produc62062515n_game] :
% 0.26/0.57 ( ( produc1250175341on_fml @ F3 @ ( produc1618635950n_game @ A @ B ) )
% 0.26/0.57 = ( F3 @ A @ B ) ) ).
% 0.26/0.57
% 0.26/0.57 % case_prod_conv
% 0.26/0.57 thf(fact_295_case__prod__conv,axiom,
% 0.26/0.57 ! [F3: ( char > option_trm ) > produc799602994n_game > char > option_trm,A: char > option_trm,B: produc799602994n_game] :
% 0.26/0.57 ( ( produc1231571704on_trm @ F3 @ ( produc1048060077n_game @ A @ B ) )
% 0.26/0.57 = ( F3 @ A @ B ) ) ).
% 0.26/0.57
% 0.26/0.57 % case_prod_conv
% 0.26/0.57 thf(fact_296_case__prod__conv,axiom,
% 0.26/0.57 ! [F3: ( char > option_trm ) > produc799602994n_game > char > option_fml,A: char > option_trm,B: produc799602994n_game] :
% 0.26/0.57 ( ( produc1615133358on_fml @ F3 @ ( produc1048060077n_game @ A @ B ) )
% 0.26/0.58 = ( F3 @ A @ B ) ) ).
% 0.26/0.58
% 0.26/0.58 % case_prod_conv
% 0.26/0.58 thf(fact_297_case__prod__conv,axiom,
% 0.26/0.58 ! [F3: ( char > option_fml ) > ( char > option_game ) > char > option_trm,A: char > option_fml,B: char > option_game] :
% 0.26/0.58 ( ( produc1036610745on_trm @ F3 @ ( produc123610156n_game @ A @ B ) )
% 0.26/0.58 = ( F3 @ A @ B ) ) ).
% 0.26/0.58
% 0.26/0.58 % case_prod_conv
% 0.26/0.58 thf(fact_298_case__prod__conv,axiom,
% 0.26/0.58 ! [F3: ( char > option_fml ) > ( char > option_game ) > char > option_fml,A: char > option_fml,B: char > option_game] :
% 0.26/0.58 ( ( produc1420172399on_fml @ F3 @ ( produc123610156n_game @ A @ B ) )
% 0.26/0.58 = ( F3 @ A @ B ) ) ).
% 0.26/0.58
% 0.26/0.58 % case_prod_conv
% 0.26/0.58 thf(fact_299_usubstappt_Opsimps_I7_J,axiom,
% 0.26/0.58 ! [Sigma2: produc1418842292n_game,U2: set_variable,Theta2: trm] :
% 0.26/0.58 ( ( accp_P1877119646le_trm @ uSubst1917534215pt_rel @ ( produc2015636557le_trm @ Sigma2 @ ( produc1482344242le_trm @ U2 @ ( differential @ Theta2 ) ) ) )
% 0.26/0.58 => ( ( uSubst516392818stappt @ Sigma2 @ U2 @ ( differential @ Theta2 ) )
% 0.26/0.58 = ( uSubst716837505ntialo
% 0.26/0.58 @ ( uSubst516392818stappt @ Sigma2
% 0.26/0.58 @ ( collect_variable
% 0.26/0.58 @ ^ [X: variable] : $true )
% 0.26/0.58 @ Theta2 ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % usubstappt.psimps(7)
% 0.26/0.58 thf(fact_300_usubstappt_Opsimps_I1_J,axiom,
% 0.26/0.58 ! [Sigma2: produc1418842292n_game,U2: set_variable,X4: variable] :
% 0.26/0.58 ( ( accp_P1877119646le_trm @ uSubst1917534215pt_rel @ ( produc2015636557le_trm @ Sigma2 @ ( produc1482344242le_trm @ U2 @ ( var @ X4 ) ) ) )
% 0.26/0.58 => ( ( uSubst516392818stappt @ Sigma2 @ U2 @ ( var @ X4 ) )
% 0.26/0.58 = ( some_trm @ ( var @ X4 ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % usubstappt.psimps(1)
% 0.26/0.58 thf(fact_301_usubstappt_Opsimps_I2_J,axiom,
% 0.26/0.58 ! [Sigma2: produc1418842292n_game,U2: set_variable,R2: real] :
% 0.26/0.58 ( ( accp_P1877119646le_trm @ uSubst1917534215pt_rel @ ( produc2015636557le_trm @ Sigma2 @ ( produc1482344242le_trm @ U2 @ ( number @ R2 ) ) ) )
% 0.26/0.58 => ( ( uSubst516392818stappt @ Sigma2 @ U2 @ ( number @ R2 ) )
% 0.26/0.58 = ( some_trm @ ( number @ R2 ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % usubstappt.psimps(2)
% 0.26/0.58 thf(fact_302_cond__case__prod__eta,axiom,
% 0.26/0.58 ! [F3: ( char > option_trm ) > produc62062515n_game > char > option_fml,G: produc1418842292n_game > char > option_fml] :
% 0.26/0.58 ( ! [X2: char > option_trm,Y4: produc62062515n_game] :
% 0.26/0.58 ( ( F3 @ X2 @ Y4 )
% 0.26/0.58 = ( G @ ( produc1618635950n_game @ X2 @ Y4 ) ) )
% 0.26/0.58 => ( ( produc1250175341on_fml @ F3 )
% 0.26/0.58 = G ) ) ).
% 0.26/0.58
% 0.26/0.58 % cond_case_prod_eta
% 0.26/0.58 thf(fact_303_cond__case__prod__eta,axiom,
% 0.26/0.58 ! [F3: ( char > option_trm ) > produc799602994n_game > char > option_trm,G: produc62062515n_game > char > option_trm] :
% 0.26/0.58 ( ! [X2: char > option_trm,Y4: produc799602994n_game] :
% 0.26/0.58 ( ( F3 @ X2 @ Y4 )
% 0.26/0.58 = ( G @ ( produc1048060077n_game @ X2 @ Y4 ) ) )
% 0.26/0.58 => ( ( produc1231571704on_trm @ F3 )
% 0.26/0.58 = G ) ) ).
% 0.26/0.58
% 0.26/0.58 % cond_case_prod_eta
% 0.26/0.58 thf(fact_304_cond__case__prod__eta,axiom,
% 0.26/0.58 ! [F3: ( char > option_trm ) > produc799602994n_game > char > option_fml,G: produc62062515n_game > char > option_fml] :
% 0.26/0.58 ( ! [X2: char > option_trm,Y4: produc799602994n_game] :
% 0.26/0.58 ( ( F3 @ X2 @ Y4 )
% 0.26/0.58 = ( G @ ( produc1048060077n_game @ X2 @ Y4 ) ) )
% 0.26/0.58 => ( ( produc1615133358on_fml @ F3 )
% 0.26/0.58 = G ) ) ).
% 0.26/0.58
% 0.26/0.58 % cond_case_prod_eta
% 0.26/0.58 thf(fact_305_cond__case__prod__eta,axiom,
% 0.26/0.58 ! [F3: ( char > option_fml ) > ( char > option_game ) > char > option_trm,G: produc799602994n_game > char > option_trm] :
% 0.26/0.58 ( ! [X2: char > option_fml,Y4: char > option_game] :
% 0.26/0.58 ( ( F3 @ X2 @ Y4 )
% 0.26/0.58 = ( G @ ( produc123610156n_game @ X2 @ Y4 ) ) )
% 0.26/0.58 => ( ( produc1036610745on_trm @ F3 )
% 0.26/0.58 = G ) ) ).
% 0.26/0.58
% 0.26/0.58 % cond_case_prod_eta
% 0.26/0.58 thf(fact_306_cond__case__prod__eta,axiom,
% 0.26/0.58 ! [F3: ( char > option_fml ) > ( char > option_game ) > char > option_fml,G: produc799602994n_game > char > option_fml] :
% 0.26/0.58 ( ! [X2: char > option_fml,Y4: char > option_game] :
% 0.26/0.58 ( ( F3 @ X2 @ Y4 )
% 0.26/0.58 = ( G @ ( produc123610156n_game @ X2 @ Y4 ) ) )
% 0.26/0.58 => ( ( produc1420172399on_fml @ F3 )
% 0.26/0.58 = G ) ) ).
% 0.26/0.58
% 0.26/0.58 % cond_case_prod_eta
% 0.26/0.58 thf(fact_307_case__prod__eta,axiom,
% 0.26/0.58 ! [F3: produc1418842292n_game > char > option_fml] :
% 0.26/0.58 ( ( produc1250175341on_fml
% 0.26/0.58 @ ^ [X: char > option_trm,Y: produc62062515n_game] : ( F3 @ ( produc1618635950n_game @ X @ Y ) ) )
% 0.26/0.58 = F3 ) ).
% 0.26/0.58
% 0.26/0.58 % case_prod_eta
% 0.26/0.58 thf(fact_308_case__prod__eta,axiom,
% 0.26/0.58 ! [F3: produc62062515n_game > char > option_trm] :
% 0.26/0.58 ( ( produc1231571704on_trm
% 0.26/0.58 @ ^ [X: char > option_trm,Y: produc799602994n_game] : ( F3 @ ( produc1048060077n_game @ X @ Y ) ) )
% 0.26/0.58 = F3 ) ).
% 0.26/0.58
% 0.26/0.58 % case_prod_eta
% 0.26/0.58 thf(fact_309_case__prod__eta,axiom,
% 0.26/0.58 ! [F3: produc62062515n_game > char > option_fml] :
% 0.26/0.58 ( ( produc1615133358on_fml
% 0.26/0.58 @ ^ [X: char > option_trm,Y: produc799602994n_game] : ( F3 @ ( produc1048060077n_game @ X @ Y ) ) )
% 0.26/0.58 = F3 ) ).
% 0.26/0.58
% 0.26/0.58 % case_prod_eta
% 0.26/0.58 thf(fact_310_case__prod__eta,axiom,
% 0.26/0.58 ! [F3: produc799602994n_game > char > option_trm] :
% 0.26/0.58 ( ( produc1036610745on_trm
% 0.26/0.58 @ ^ [X: char > option_fml,Y: char > option_game] : ( F3 @ ( produc123610156n_game @ X @ Y ) ) )
% 0.26/0.58 = F3 ) ).
% 0.26/0.58
% 0.26/0.58 % case_prod_eta
% 0.26/0.58 thf(fact_311_case__prod__eta,axiom,
% 0.26/0.58 ! [F3: produc799602994n_game > char > option_fml] :
% 0.26/0.58 ( ( produc1420172399on_fml
% 0.26/0.58 @ ^ [X: char > option_fml,Y: char > option_game] : ( F3 @ ( produc123610156n_game @ X @ Y ) ) )
% 0.26/0.58 = F3 ) ).
% 0.26/0.58
% 0.26/0.58 % case_prod_eta
% 0.26/0.58 thf(fact_312_case__prodE2,axiom,
% 0.26/0.58 ! [Q: ( char > option_fml ) > $o,P: ( char > option_trm ) > produc62062515n_game > char > option_fml,Z2: produc1418842292n_game] :
% 0.26/0.58 ( ( Q @ ( produc1250175341on_fml @ P @ Z2 ) )
% 0.26/0.58 => ~ ! [X2: char > option_trm,Y4: produc62062515n_game] :
% 0.26/0.58 ( ( Z2
% 0.26/0.58 = ( produc1618635950n_game @ X2 @ Y4 ) )
% 0.26/0.58 => ~ ( Q @ ( P @ X2 @ Y4 ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % case_prodE2
% 0.26/0.58 thf(fact_313_case__prodE2,axiom,
% 0.26/0.58 ! [Q: ( char > option_trm ) > $o,P: ( char > option_trm ) > produc799602994n_game > char > option_trm,Z2: produc62062515n_game] :
% 0.26/0.58 ( ( Q @ ( produc1231571704on_trm @ P @ Z2 ) )
% 0.26/0.58 => ~ ! [X2: char > option_trm,Y4: produc799602994n_game] :
% 0.26/0.58 ( ( Z2
% 0.26/0.58 = ( produc1048060077n_game @ X2 @ Y4 ) )
% 0.26/0.58 => ~ ( Q @ ( P @ X2 @ Y4 ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % case_prodE2
% 0.26/0.58 thf(fact_314_case__prodE2,axiom,
% 0.26/0.58 ! [Q: ( char > option_fml ) > $o,P: ( char > option_trm ) > produc799602994n_game > char > option_fml,Z2: produc62062515n_game] :
% 0.26/0.58 ( ( Q @ ( produc1615133358on_fml @ P @ Z2 ) )
% 0.26/0.58 => ~ ! [X2: char > option_trm,Y4: produc799602994n_game] :
% 0.26/0.58 ( ( Z2
% 0.26/0.58 = ( produc1048060077n_game @ X2 @ Y4 ) )
% 0.26/0.58 => ~ ( Q @ ( P @ X2 @ Y4 ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % case_prodE2
% 0.26/0.58 thf(fact_315_case__prodE2,axiom,
% 0.26/0.58 ! [Q: ( char > option_trm ) > $o,P: ( char > option_fml ) > ( char > option_game ) > char > option_trm,Z2: produc799602994n_game] :
% 0.26/0.58 ( ( Q @ ( produc1036610745on_trm @ P @ Z2 ) )
% 0.26/0.58 => ~ ! [X2: char > option_fml,Y4: char > option_game] :
% 0.26/0.58 ( ( Z2
% 0.26/0.58 = ( produc123610156n_game @ X2 @ Y4 ) )
% 0.26/0.58 => ~ ( Q @ ( P @ X2 @ Y4 ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % case_prodE2
% 0.26/0.58 thf(fact_316_case__prodE2,axiom,
% 0.26/0.58 ! [Q: ( char > option_fml ) > $o,P: ( char > option_fml ) > ( char > option_game ) > char > option_fml,Z2: produc799602994n_game] :
% 0.26/0.58 ( ( Q @ ( produc1420172399on_fml @ P @ Z2 ) )
% 0.26/0.58 => ~ ! [X2: char > option_fml,Y4: char > option_game] :
% 0.26/0.58 ( ( Z2
% 0.26/0.58 = ( produc123610156n_game @ X2 @ Y4 ) )
% 0.26/0.58 => ~ ( Q @ ( P @ X2 @ Y4 ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % case_prodE2
% 0.26/0.58 thf(fact_317_inf__Int__eq2,axiom,
% 0.26/0.58 ! [R4: set_Pr943832262on_trm,S: set_Pr943832262on_trm] :
% 0.26/0.58 ( ( inf_in605351507_trm_o
% 0.26/0.58 @ ^ [X: char,Y: option_trm] : ( member694524327on_trm @ ( produc1500300866on_trm @ X @ Y ) @ R4 )
% 0.26/0.58 @ ^ [X: char,Y: option_trm] : ( member694524327on_trm @ ( produc1500300866on_trm @ X @ Y ) @ S ) )
% 0.26/0.58 = ( ^ [X: char,Y: option_trm] : ( member694524327on_trm @ ( produc1500300866on_trm @ X @ Y ) @ ( inf_in1243659096on_trm @ R4 @ S ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % inf_Int_eq2
% 0.26/0.58 thf(fact_318_inf__Int__eq2,axiom,
% 0.26/0.58 ! [R4: set_Pr1235432374le_trm,S: set_Pr1235432374le_trm] :
% 0.26/0.58 ( ( inf_in185389155_trm_o
% 0.26/0.58 @ ^ [X: set_variable,Y: trm] : ( member2122665623le_trm @ ( produc1482344242le_trm @ X @ Y ) @ R4 )
% 0.26/0.58 @ ^ [X: set_variable,Y: trm] : ( member2122665623le_trm @ ( produc1482344242le_trm @ X @ Y ) @ S ) )
% 0.26/0.58 = ( ^ [X: set_variable,Y: trm] : ( member2122665623le_trm @ ( produc1482344242le_trm @ X @ Y ) @ ( inf_in906025800le_trm @ R4 @ S ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % inf_Int_eq2
% 0.26/0.58 thf(fact_319_inf__Int__eq2,axiom,
% 0.26/0.58 ! [R4: set_Pr720454634n_game,S: set_Pr720454634n_game] :
% 0.26/0.58 ( ( inf_in1920662529game_o
% 0.26/0.58 @ ^ [X: char > option_trm,Y: produc62062515n_game] : ( member1940201675n_game @ ( produc1618635950n_game @ X @ Y ) @ R4 )
% 0.26/0.58 @ ^ [X: char > option_trm,Y: produc62062515n_game] : ( member1940201675n_game @ ( produc1618635950n_game @ X @ Y ) @ S ) )
% 0.26/0.58 = ( ^ [X: char > option_trm,Y: produc62062515n_game] : ( member1940201675n_game @ ( produc1618635950n_game @ X @ Y ) @ ( inf_in360367996n_game @ R4 @ S ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % inf_Int_eq2
% 0.26/0.58 thf(fact_320_inf__Int__eq2,axiom,
% 0.26/0.58 ! [R4: set_Pr739694057n_game,S: set_Pr739694057n_game] :
% 0.26/0.58 ( ( inf_in1072207554game_o
% 0.26/0.58 @ ^ [X: char > option_trm,Y: produc799602994n_game] : ( member774167626n_game @ ( produc1048060077n_game @ X @ Y ) @ R4 )
% 0.26/0.58 @ ^ [X: char > option_trm,Y: produc799602994n_game] : ( member774167626n_game @ ( produc1048060077n_game @ X @ Y ) @ S ) )
% 0.26/0.58 = ( ^ [X: char > option_trm,Y: produc799602994n_game] : ( member774167626n_game @ ( produc1048060077n_game @ X @ Y ) @ ( inf_in69689467n_game @ R4 @ S ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % inf_Int_eq2
% 0.26/0.58 thf(fact_321_inf__Int__eq2,axiom,
% 0.26/0.58 ! [R4: set_Pr79606376n_game,S: set_Pr79606376n_game] :
% 0.26/0.58 ( ( inf_in243546115game_o
% 0.26/0.58 @ ^ [X: char > option_fml,Y: char > option_game] : ( member849814089n_game @ ( produc123610156n_game @ X @ Y ) @ R4 )
% 0.26/0.58 @ ^ [X: char > option_fml,Y: char > option_game] : ( member849814089n_game @ ( produc123610156n_game @ X @ Y ) @ S ) )
% 0.26/0.58 = ( ^ [X: char > option_fml,Y: char > option_game] : ( member849814089n_game @ ( produc123610156n_game @ X @ Y ) @ ( inf_in1391117306n_game @ R4 @ S ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % inf_Int_eq2
% 0.26/0.58 thf(fact_322_bot__empty__eq2,axiom,
% 0.26/0.58 ( bot_bo1417568964game_o
% 0.26/0.58 = ( ^ [X: char > option_trm,Y: produc799602994n_game] : ( member774167626n_game @ ( produc1048060077n_game @ X @ Y ) @ bot_bo1302831229n_game ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % bot_empty_eq2
% 0.26/0.58 thf(fact_323_bot__empty__eq2,axiom,
% 0.26/0.58 ( bot_bo1895715589game_o
% 0.26/0.58 = ( ^ [X: char > option_fml,Y: char > option_game] : ( member849814089n_game @ ( produc123610156n_game @ X @ Y ) @ bot_bo456479484n_game ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % bot_empty_eq2
% 0.26/0.58 thf(fact_324_usubstappt_Opsimps_I3_J,axiom,
% 0.26/0.58 ! [Sigma2: produc1418842292n_game,U2: set_variable,F3: char] :
% 0.26/0.58 ( ( accp_P1877119646le_trm @ uSubst1917534215pt_rel @ ( produc2015636557le_trm @ Sigma2 @ ( produc1482344242le_trm @ U2 @ ( const @ F3 ) ) ) )
% 0.26/0.58 => ( ( uSubst516392818stappt @ Sigma2 @ U2 @ ( const @ F3 ) )
% 0.26/0.58 = ( uSubst1559070963pconst @ Sigma2 @ U2 @ F3 ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % usubstappt.psimps(3)
% 0.26/0.58 thf(fact_325_usubstappt_Opsimps_I6_J,axiom,
% 0.26/0.58 ! [Sigma2: produc1418842292n_game,U2: set_variable,Theta2: trm,Eta2: trm] :
% 0.26/0.58 ( ( accp_P1877119646le_trm @ uSubst1917534215pt_rel @ ( produc2015636557le_trm @ Sigma2 @ ( produc1482344242le_trm @ U2 @ ( times @ Theta2 @ Eta2 ) ) ) )
% 0.26/0.58 => ( ( uSubst516392818stappt @ Sigma2 @ U2 @ ( times @ Theta2 @ Eta2 ) )
% 0.26/0.58 = ( uSubst918876924Timeso @ ( uSubst516392818stappt @ Sigma2 @ U2 @ Theta2 ) @ ( uSubst516392818stappt @ Sigma2 @ U2 @ Eta2 ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % usubstappt.psimps(6)
% 0.26/0.58 thf(fact_326_usubstappt_Opsimps_I5_J,axiom,
% 0.26/0.58 ! [Sigma2: produc1418842292n_game,U2: set_variable,Theta2: trm,Eta2: trm] :
% 0.26/0.58 ( ( accp_P1877119646le_trm @ uSubst1917534215pt_rel @ ( produc2015636557le_trm @ Sigma2 @ ( produc1482344242le_trm @ U2 @ ( plus @ Theta2 @ Eta2 ) ) ) )
% 0.26/0.58 => ( ( uSubst516392818stappt @ Sigma2 @ U2 @ ( plus @ Theta2 @ Eta2 ) )
% 0.26/0.58 = ( uSubst141955042_Pluso @ ( uSubst516392818stappt @ Sigma2 @ U2 @ Theta2 ) @ ( uSubst516392818stappt @ Sigma2 @ U2 @ Eta2 ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % usubstappt.psimps(5)
% 0.26/0.58 thf(fact_327_usubstappt_Opsimps_I4_J,axiom,
% 0.26/0.58 ! [Sigma2: produc1418842292n_game,U2: set_variable,F3: char,Theta2: trm] :
% 0.26/0.58 ( ( accp_P1877119646le_trm @ uSubst1917534215pt_rel @ ( produc2015636557le_trm @ Sigma2 @ ( produc1482344242le_trm @ U2 @ ( func @ F3 @ Theta2 ) ) ) )
% 0.26/0.58 => ( ( uSubst516392818stappt @ Sigma2 @ U2 @ ( func @ F3 @ Theta2 ) )
% 0.26/0.58 = ( case_o487727941rm_trm @ none_trm
% 0.26/0.58 @ ^ [Sigma_theta2: trm] :
% 0.26/0.58 ( case_o487727941rm_trm @ ( some_trm @ ( func @ F3 @ Sigma_theta2 ) )
% 0.26/0.58 @ ^ [R: trm] :
% 0.26/0.58 ( if_option_trm
% 0.26/0.58 @ ( ( inf_inf_set_variable @ ( static_FVT @ R ) @ U2 )
% 0.26/0.58 = bot_bot_set_variable )
% 0.26/0.58 @ ( uSubst516392818stappt @ ( uSubst1408967625substt @ Sigma_theta2 ) @ bot_bot_set_variable @ R )
% 0.26/0.58 @ none_trm )
% 0.26/0.58 @ ( produc866613687on_trm
% 0.26/0.58 @ ^ [Uu: char > option_trm] :
% 0.26/0.58 ( produc1231571704on_trm
% 0.26/0.58 @ ^ [F4: char > option_trm] :
% 0.26/0.58 ( produc1036610745on_trm
% 0.26/0.58 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F4 ) )
% 0.26/0.58 @ Sigma2
% 0.26/0.58 @ F3 ) )
% 0.26/0.58 @ ( uSubst516392818stappt @ Sigma2 @ U2 @ Theta2 ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % usubstappt.psimps(4)
% 0.26/0.58 thf(fact_328_usubstappt_Ocases,axiom,
% 0.26/0.58 ! [X4: produc1699626005le_trm] :
% 0.26/0.58 ( ! [Sigma3: produc1418842292n_game,U3: set_variable,X2: variable] :
% 0.26/0.58 ( X4
% 0.26/0.58 != ( produc2015636557le_trm @ Sigma3 @ ( produc1482344242le_trm @ U3 @ ( var @ X2 ) ) ) )
% 0.26/0.58 => ( ! [Sigma3: produc1418842292n_game,U3: set_variable,R3: real] :
% 0.26/0.58 ( X4
% 0.26/0.58 != ( produc2015636557le_trm @ Sigma3 @ ( produc1482344242le_trm @ U3 @ ( number @ R3 ) ) ) )
% 0.26/0.58 => ( ! [Sigma3: produc1418842292n_game,U3: set_variable,F5: char] :
% 0.26/0.58 ( X4
% 0.26/0.58 != ( produc2015636557le_trm @ Sigma3 @ ( produc1482344242le_trm @ U3 @ ( const @ F5 ) ) ) )
% 0.26/0.58 => ( ! [Sigma3: produc1418842292n_game,U3: set_variable,F5: char,Theta: trm] :
% 0.26/0.58 ( X4
% 0.26/0.58 != ( produc2015636557le_trm @ Sigma3 @ ( produc1482344242le_trm @ U3 @ ( func @ F5 @ Theta ) ) ) )
% 0.26/0.58 => ( ! [Sigma3: produc1418842292n_game,U3: set_variable,Theta: trm,Eta: trm] :
% 0.26/0.58 ( X4
% 0.26/0.58 != ( produc2015636557le_trm @ Sigma3 @ ( produc1482344242le_trm @ U3 @ ( plus @ Theta @ Eta ) ) ) )
% 0.26/0.58 => ( ! [Sigma3: produc1418842292n_game,U3: set_variable,Theta: trm,Eta: trm] :
% 0.26/0.58 ( X4
% 0.26/0.58 != ( produc2015636557le_trm @ Sigma3 @ ( produc1482344242le_trm @ U3 @ ( times @ Theta @ Eta ) ) ) )
% 0.26/0.58 => ~ ! [Sigma3: produc1418842292n_game,U3: set_variable,Theta: trm] :
% 0.26/0.58 ( X4
% 0.26/0.58 != ( produc2015636557le_trm @ Sigma3 @ ( produc1482344242le_trm @ U3 @ ( differential @ Theta ) ) ) ) ) ) ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % usubstappt.cases
% 0.26/0.58 thf(fact_329_usubstappt_Opinduct,axiom,
% 0.26/0.58 ! [A0: produc1418842292n_game,A1: set_variable,A22: trm,P: produc1418842292n_game > set_variable > trm > $o] :
% 0.26/0.58 ( ( accp_P1877119646le_trm @ uSubst1917534215pt_rel @ ( produc2015636557le_trm @ A0 @ ( produc1482344242le_trm @ A1 @ A22 ) ) )
% 0.26/0.58 => ( ! [Sigma3: produc1418842292n_game,U3: set_variable,X2: variable] :
% 0.26/0.58 ( ( accp_P1877119646le_trm @ uSubst1917534215pt_rel @ ( produc2015636557le_trm @ Sigma3 @ ( produc1482344242le_trm @ U3 @ ( var @ X2 ) ) ) )
% 0.26/0.58 => ( P @ Sigma3 @ U3 @ ( var @ X2 ) ) )
% 0.26/0.58 => ( ! [Sigma3: produc1418842292n_game,U3: set_variable,R3: real] :
% 0.26/0.58 ( ( accp_P1877119646le_trm @ uSubst1917534215pt_rel @ ( produc2015636557le_trm @ Sigma3 @ ( produc1482344242le_trm @ U3 @ ( number @ R3 ) ) ) )
% 0.26/0.58 => ( P @ Sigma3 @ U3 @ ( number @ R3 ) ) )
% 0.26/0.58 => ( ! [Sigma3: produc1418842292n_game,U3: set_variable,F5: char] :
% 0.26/0.58 ( ( accp_P1877119646le_trm @ uSubst1917534215pt_rel @ ( produc2015636557le_trm @ Sigma3 @ ( produc1482344242le_trm @ U3 @ ( const @ F5 ) ) ) )
% 0.26/0.58 => ( P @ Sigma3 @ U3 @ ( const @ F5 ) ) )
% 0.26/0.58 => ( ! [Sigma3: produc1418842292n_game,U3: set_variable,F5: char,Theta: trm] :
% 0.26/0.58 ( ( accp_P1877119646le_trm @ uSubst1917534215pt_rel @ ( produc2015636557le_trm @ Sigma3 @ ( produc1482344242le_trm @ U3 @ ( func @ F5 @ Theta ) ) ) )
% 0.26/0.58 => ( ( P @ Sigma3 @ U3 @ Theta )
% 0.26/0.58 => ( ! [X25: trm] :
% 0.26/0.58 ( ( ( uSubst516392818stappt @ Sigma3 @ U3 @ Theta )
% 0.26/0.58 = ( some_trm @ X25 ) )
% 0.26/0.58 => ! [X2a: trm] :
% 0.26/0.58 ( ( ( produc866613687on_trm
% 0.26/0.58 @ ^ [Uu: char > option_trm] :
% 0.26/0.58 ( produc1231571704on_trm
% 0.26/0.58 @ ^ [F4: char > option_trm] :
% 0.26/0.58 ( produc1036610745on_trm
% 0.26/0.58 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F4 ) )
% 0.26/0.58 @ Sigma3
% 0.26/0.58 @ F5 )
% 0.26/0.58 = ( some_trm @ X2a ) )
% 0.26/0.58 => ( ( ( inf_inf_set_variable @ ( static_FVT @ X2a ) @ U3 )
% 0.26/0.58 = bot_bot_set_variable )
% 0.26/0.58 => ( P @ ( uSubst1408967625substt @ X25 ) @ bot_bot_set_variable @ X2a ) ) ) )
% 0.26/0.58 => ( P @ Sigma3 @ U3 @ ( func @ F5 @ Theta ) ) ) ) )
% 0.26/0.58 => ( ! [Sigma3: produc1418842292n_game,U3: set_variable,Theta: trm,Eta: trm] :
% 0.26/0.58 ( ( accp_P1877119646le_trm @ uSubst1917534215pt_rel @ ( produc2015636557le_trm @ Sigma3 @ ( produc1482344242le_trm @ U3 @ ( plus @ Theta @ Eta ) ) ) )
% 0.26/0.58 => ( ( P @ Sigma3 @ U3 @ Theta )
% 0.26/0.58 => ( ( P @ Sigma3 @ U3 @ Eta )
% 0.26/0.58 => ( P @ Sigma3 @ U3 @ ( plus @ Theta @ Eta ) ) ) ) )
% 0.26/0.58 => ( ! [Sigma3: produc1418842292n_game,U3: set_variable,Theta: trm,Eta: trm] :
% 0.26/0.58 ( ( accp_P1877119646le_trm @ uSubst1917534215pt_rel @ ( produc2015636557le_trm @ Sigma3 @ ( produc1482344242le_trm @ U3 @ ( times @ Theta @ Eta ) ) ) )
% 0.26/0.58 => ( ( P @ Sigma3 @ U3 @ Theta )
% 0.26/0.58 => ( ( P @ Sigma3 @ U3 @ Eta )
% 0.26/0.58 => ( P @ Sigma3 @ U3 @ ( times @ Theta @ Eta ) ) ) ) )
% 0.26/0.58 => ( ! [Sigma3: produc1418842292n_game,U3: set_variable,Theta: trm] :
% 0.26/0.58 ( ( accp_P1877119646le_trm @ uSubst1917534215pt_rel @ ( produc2015636557le_trm @ Sigma3 @ ( produc1482344242le_trm @ U3 @ ( differential @ Theta ) ) ) )
% 0.26/0.58 => ( ( P @ Sigma3
% 0.26/0.58 @ ( collect_variable
% 0.26/0.58 @ ^ [X: variable] : $true )
% 0.26/0.58 @ Theta )
% 0.26/0.58 => ( P @ Sigma3 @ U3 @ ( differential @ Theta ) ) ) )
% 0.26/0.58 => ( P @ A0 @ A1 @ A22 ) ) ) ) ) ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % usubstappt.pinduct
% 0.26/0.58 thf(fact_330_Geqo_Oelims,axiom,
% 0.26/0.58 ! [X4: option_trm,Xa: option_trm,Y2: option_fml] :
% 0.26/0.58 ( ( ( uSubst152838031e_Geqo @ X4 @ Xa )
% 0.26/0.58 = Y2 )
% 0.26/0.58 => ( ! [Theta: trm] :
% 0.26/0.58 ( ( X4
% 0.26/0.58 = ( some_trm @ Theta ) )
% 0.26/0.58 => ! [Eta: trm] :
% 0.26/0.58 ( ( Xa
% 0.26/0.58 = ( some_trm @ Eta ) )
% 0.26/0.58 => ( Y2
% 0.26/0.58 != ( some_fml @ ( geq @ Theta @ Eta ) ) ) ) )
% 0.26/0.58 => ( ( ( X4 = none_trm )
% 0.26/0.58 => ( Y2 != none_fml ) )
% 0.26/0.58 => ~ ( ? [V: trm] :
% 0.26/0.58 ( X4
% 0.26/0.58 = ( some_trm @ V ) )
% 0.26/0.58 => ( ( Xa = none_trm )
% 0.26/0.58 => ( Y2 != none_fml ) ) ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % Geqo.elims
% 0.26/0.58 thf(fact_331_fml_Oinject_I2_J,axiom,
% 0.26/0.58 ! [X21: trm,X222: trm,Y21: trm,Y222: trm] :
% 0.26/0.58 ( ( ( geq @ X21 @ X222 )
% 0.26/0.58 = ( geq @ Y21 @ Y222 ) )
% 0.26/0.58 = ( ( X21 = Y21 )
% 0.26/0.58 & ( X222 = Y222 ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % fml.inject(2)
% 0.26/0.58 thf(fact_332_Diamondo_Ocases,axiom,
% 0.26/0.58 ! [X4: produc1739631244on_fml] :
% 0.26/0.58 ( ! [Alpha: game,Phi: fml] :
% 0.26/0.58 ( X4
% 0.26/0.58 != ( produc2124676926on_fml @ ( some_game @ Alpha ) @ ( some_fml @ Phi ) ) )
% 0.26/0.58 => ( ! [Phi: option_fml] :
% 0.26/0.58 ( X4
% 0.26/0.58 != ( produc2124676926on_fml @ none_game @ Phi ) )
% 0.26/0.58 => ~ ! [V: game] :
% 0.26/0.58 ( X4
% 0.26/0.58 != ( produc2124676926on_fml @ ( some_game @ V ) @ none_fml ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % Diamondo.cases
% 0.26/0.58 thf(fact_333_Existso_Ocases,axiom,
% 0.26/0.58 ! [X4: produc1408538418on_fml] :
% 0.26/0.58 ( ! [X2: variable,Phi: fml] :
% 0.26/0.58 ( X4
% 0.26/0.58 != ( produc1205977188on_fml @ X2 @ ( some_fml @ Phi ) ) )
% 0.26/0.58 => ~ ! [X2: variable] :
% 0.26/0.58 ( X4
% 0.26/0.58 != ( produc1205977188on_fml @ X2 @ none_fml ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % Existso.cases
% 0.26/0.58 thf(fact_334_Ando_Ocases,axiom,
% 0.26/0.58 ! [X4: produc46605351on_fml] :
% 0.26/0.58 ( ! [Phi: fml,Psi: fml] :
% 0.26/0.58 ( X4
% 0.26/0.58 != ( produc909629463on_fml @ ( some_fml @ Phi ) @ ( some_fml @ Psi ) ) )
% 0.26/0.58 => ( ! [Psi: option_fml] :
% 0.26/0.58 ( X4
% 0.26/0.58 != ( produc909629463on_fml @ none_fml @ Psi ) )
% 0.26/0.58 => ~ ! [V: fml] :
% 0.26/0.58 ( X4
% 0.26/0.58 != ( produc909629463on_fml @ ( some_fml @ V ) @ none_fml ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % Ando.cases
% 0.26/0.58 thf(fact_335_ODEo_Ocases,axiom,
% 0.26/0.58 ! [X4: produc464795408on_trm] :
% 0.26/0.58 ( ! [X2: char,Theta: trm] :
% 0.26/0.58 ( X4
% 0.26/0.58 != ( produc1500300866on_trm @ X2 @ ( some_trm @ Theta ) ) )
% 0.26/0.58 => ~ ! [X2: char] :
% 0.26/0.58 ( X4
% 0.26/0.58 != ( produc1500300866on_trm @ X2 @ none_trm ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % ODEo.cases
% 0.26/0.58 thf(fact_336_Assigno_Ocases,axiom,
% 0.26/0.58 ! [X4: produc1024976764on_trm] :
% 0.26/0.58 ( ! [X2: variable,Theta: trm] :
% 0.26/0.58 ( X4
% 0.26/0.58 != ( produc1743721902on_trm @ X2 @ ( some_trm @ Theta ) ) )
% 0.26/0.58 => ~ ! [X2: variable] :
% 0.26/0.58 ( X4
% 0.26/0.58 != ( produc1743721902on_trm @ X2 @ none_trm ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % Assigno.cases
% 0.26/0.58 thf(fact_337_Timeso_Ocases,axiom,
% 0.26/0.58 ! [X4: produc1072747943on_trm] :
% 0.26/0.58 ( ! [Theta: trm,Eta: trm] :
% 0.26/0.58 ( X4
% 0.26/0.58 != ( produc709594775on_trm @ ( some_trm @ Theta ) @ ( some_trm @ Eta ) ) )
% 0.26/0.58 => ( ! [Eta: option_trm] :
% 0.26/0.58 ( X4
% 0.26/0.58 != ( produc709594775on_trm @ none_trm @ Eta ) )
% 0.26/0.58 => ~ ! [V: trm] :
% 0.26/0.58 ( X4
% 0.26/0.58 != ( produc709594775on_trm @ ( some_trm @ V ) @ none_trm ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % Timeso.cases
% 0.26/0.58 thf(fact_338_Geqo_Osimps_I1_J,axiom,
% 0.26/0.58 ! [Theta2: trm,Eta2: trm] :
% 0.26/0.58 ( ( uSubst152838031e_Geqo @ ( some_trm @ Theta2 ) @ ( some_trm @ Eta2 ) )
% 0.26/0.58 = ( some_fml @ ( geq @ Theta2 @ Eta2 ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % Geqo.simps(1)
% 0.26/0.58 thf(fact_339_usubstappf__geqr,axiom,
% 0.26/0.58 ! [Sigma2: produc1418842292n_game,U2: set_variable,Theta2: trm,Eta2: trm] :
% 0.26/0.58 ( ( ( uSubst516392804stappf @ Sigma2 @ U2 @ ( geq @ Theta2 @ Eta2 ) )
% 0.26/0.58 != none_fml )
% 0.26/0.58 => ( ( uSubst516392804stappf @ Sigma2 @ U2 @ ( geq @ Theta2 @ Eta2 ) )
% 0.26/0.58 = ( some_fml @ ( geq @ ( the_trm @ ( uSubst516392818stappt @ Sigma2 @ U2 @ Theta2 ) ) @ ( the_trm @ ( uSubst516392818stappt @ Sigma2 @ U2 @ Eta2 ) ) ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % usubstappf_geqr
% 0.26/0.58 thf(fact_340_usubstappf__geq,axiom,
% 0.26/0.58 ! [Sigma2: produc1418842292n_game,U2: set_variable,Theta2: trm,Eta2: trm] :
% 0.26/0.58 ( ( ( uSubst516392818stappt @ Sigma2 @ U2 @ Theta2 )
% 0.26/0.58 != none_trm )
% 0.26/0.58 => ( ( ( uSubst516392818stappt @ Sigma2 @ U2 @ Eta2 )
% 0.26/0.58 != none_trm )
% 0.26/0.58 => ( ( uSubst516392804stappf @ Sigma2 @ U2 @ ( geq @ Theta2 @ Eta2 ) )
% 0.26/0.58 = ( some_fml @ ( geq @ ( the_trm @ ( uSubst516392818stappt @ Sigma2 @ U2 @ Theta2 ) ) @ ( the_trm @ ( uSubst516392818stappt @ Sigma2 @ U2 @ Eta2 ) ) ) ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % usubstappf_geq
% 0.26/0.58 thf(fact_341_Composeo_Ocases,axiom,
% 0.26/0.58 ! [X4: produc1016592119n_game] :
% 0.26/0.58 ( ! [Alpha: game,Beta: game] :
% 0.26/0.58 ( X4
% 0.26/0.58 != ( produc1111617711n_game @ ( some_game @ Alpha ) @ ( some_game @ Beta ) ) )
% 0.26/0.58 => ( ! [Alpha: option_game] :
% 0.26/0.58 ( X4
% 0.26/0.58 != ( produc1111617711n_game @ Alpha @ none_game ) )
% 0.26/0.58 => ~ ! [V: game] :
% 0.26/0.58 ( X4
% 0.26/0.58 != ( produc1111617711n_game @ none_game @ ( some_game @ V ) ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % Composeo.cases
% 0.26/0.58 thf(fact_342_usubstappf_Osimps_I2_J,axiom,
% 0.26/0.58 ! [Sigma2: produc1418842292n_game,U2: set_variable,Theta2: trm,Eta2: trm] :
% 0.26/0.58 ( ( uSubst516392804stappf @ Sigma2 @ U2 @ ( geq @ Theta2 @ Eta2 ) )
% 0.26/0.58 = ( uSubst152838031e_Geqo @ ( uSubst516392818stappt @ Sigma2 @ U2 @ Theta2 ) @ ( uSubst516392818stappt @ Sigma2 @ U2 @ Eta2 ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % usubstappf.simps(2)
% 0.26/0.58 thf(fact_343_usubstappf__geq__conv,axiom,
% 0.26/0.58 ! [Sigma2: produc1418842292n_game,U2: set_variable,Theta2: trm,Eta2: trm] :
% 0.26/0.58 ( ( ( uSubst516392804stappf @ Sigma2 @ U2 @ ( geq @ Theta2 @ Eta2 ) )
% 0.26/0.58 != none_fml )
% 0.26/0.58 => ( ( ( uSubst516392818stappt @ Sigma2 @ U2 @ Theta2 )
% 0.26/0.58 != none_trm )
% 0.26/0.58 & ( ( uSubst516392818stappt @ Sigma2 @ U2 @ Eta2 )
% 0.26/0.58 != none_trm ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % usubstappf_geq_conv
% 0.26/0.58 thf(fact_344_dotsubstt__def,axiom,
% 0.26/0.58 ( uSubst1408967625substt
% 0.26/0.58 = ( ^ [Theta3: trm] :
% 0.26/0.58 ( produc1618635950n_game
% 0.26/0.58 @ ^ [F2: char] :
% 0.26/0.58 ( if_option_trm
% 0.26/0.58 @ ( F2
% 0.26/0.58 = ( char2 @ $false @ $true @ $true @ $true @ $false @ $true @ $false @ $false ) )
% 0.26/0.58 @ ( some_trm @ Theta3 )
% 0.26/0.58 @ none_trm )
% 0.26/0.58 @ ( produc1048060077n_game
% 0.26/0.58 @ ^ [Uu: char] : none_trm
% 0.26/0.58 @ ( produc123610156n_game
% 0.26/0.58 @ ^ [Uu: char] : none_fml
% 0.26/0.58 @ ^ [Uu: char] : none_game ) ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % dotsubstt_def
% 0.26/0.58 thf(fact_345_Geqo_Opelims,axiom,
% 0.26/0.58 ! [X4: option_trm,Xa: option_trm,Y2: option_fml] :
% 0.26/0.58 ( ( ( uSubst152838031e_Geqo @ X4 @ Xa )
% 0.26/0.58 = Y2 )
% 0.26/0.58 => ( ( accp_P758790320on_trm @ uSubst1304144938qo_rel @ ( produc709594775on_trm @ X4 @ Xa ) )
% 0.26/0.58 => ( ! [Theta: trm] :
% 0.26/0.58 ( ( X4
% 0.26/0.58 = ( some_trm @ Theta ) )
% 0.26/0.58 => ! [Eta: trm] :
% 0.26/0.58 ( ( Xa
% 0.26/0.58 = ( some_trm @ Eta ) )
% 0.26/0.58 => ( ( Y2
% 0.26/0.58 = ( some_fml @ ( geq @ Theta @ Eta ) ) )
% 0.26/0.58 => ~ ( accp_P758790320on_trm @ uSubst1304144938qo_rel @ ( produc709594775on_trm @ ( some_trm @ Theta ) @ ( some_trm @ Eta ) ) ) ) ) )
% 0.26/0.58 => ( ( ( X4 = none_trm )
% 0.26/0.58 => ( ( Y2 = none_fml )
% 0.26/0.58 => ~ ( accp_P758790320on_trm @ uSubst1304144938qo_rel @ ( produc709594775on_trm @ none_trm @ Xa ) ) ) )
% 0.26/0.58 => ~ ! [V: trm] :
% 0.26/0.58 ( ( X4
% 0.26/0.58 = ( some_trm @ V ) )
% 0.26/0.58 => ( ( Xa = none_trm )
% 0.26/0.58 => ( ( Y2 = none_fml )
% 0.26/0.58 => ~ ( accp_P758790320on_trm @ uSubst1304144938qo_rel @ ( produc709594775on_trm @ ( some_trm @ V ) @ none_trm ) ) ) ) ) ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % Geqo.pelims
% 0.26/0.58 thf(fact_346_Timeso_Opelims,axiom,
% 0.26/0.58 ! [X4: option_trm,Xa: option_trm,Y2: option_trm] :
% 0.26/0.58 ( ( ( uSubst918876924Timeso @ X4 @ Xa )
% 0.26/0.58 = Y2 )
% 0.26/0.58 => ( ( accp_P758790320on_trm @ uSubst924844285so_rel @ ( produc709594775on_trm @ X4 @ Xa ) )
% 0.26/0.58 => ( ! [Theta: trm] :
% 0.26/0.58 ( ( X4
% 0.26/0.58 = ( some_trm @ Theta ) )
% 0.26/0.58 => ! [Eta: trm] :
% 0.26/0.58 ( ( Xa
% 0.26/0.58 = ( some_trm @ Eta ) )
% 0.26/0.58 => ( ( Y2
% 0.26/0.58 = ( some_trm @ ( times @ Theta @ Eta ) ) )
% 0.26/0.58 => ~ ( accp_P758790320on_trm @ uSubst924844285so_rel @ ( produc709594775on_trm @ ( some_trm @ Theta ) @ ( some_trm @ Eta ) ) ) ) ) )
% 0.26/0.58 => ( ( ( X4 = none_trm )
% 0.26/0.58 => ( ( Y2 = none_trm )
% 0.26/0.58 => ~ ( accp_P758790320on_trm @ uSubst924844285so_rel @ ( produc709594775on_trm @ none_trm @ Xa ) ) ) )
% 0.26/0.58 => ~ ! [V: trm] :
% 0.26/0.58 ( ( X4
% 0.26/0.58 = ( some_trm @ V ) )
% 0.26/0.58 => ( ( Xa = none_trm )
% 0.26/0.58 => ( ( Y2 = none_trm )
% 0.26/0.58 => ~ ( accp_P758790320on_trm @ uSubst924844285so_rel @ ( produc709594775on_trm @ ( some_trm @ V ) @ none_trm ) ) ) ) ) ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % Timeso.pelims
% 0.26/0.58 thf(fact_347_Pluso_Opelims,axiom,
% 0.26/0.58 ! [X4: option_trm,Xa: option_trm,Y2: option_trm] :
% 0.26/0.58 ( ( ( uSubst141955042_Pluso @ X4 @ Xa )
% 0.26/0.58 = Y2 )
% 0.26/0.58 => ( ( accp_P758790320on_trm @ uSubst691094423so_rel @ ( produc709594775on_trm @ X4 @ Xa ) )
% 0.26/0.58 => ( ! [Theta: trm] :
% 0.26/0.58 ( ( X4
% 0.26/0.58 = ( some_trm @ Theta ) )
% 0.26/0.58 => ! [Eta: trm] :
% 0.26/0.58 ( ( Xa
% 0.26/0.58 = ( some_trm @ Eta ) )
% 0.26/0.58 => ( ( Y2
% 0.26/0.58 = ( some_trm @ ( plus @ Theta @ Eta ) ) )
% 0.26/0.58 => ~ ( accp_P758790320on_trm @ uSubst691094423so_rel @ ( produc709594775on_trm @ ( some_trm @ Theta ) @ ( some_trm @ Eta ) ) ) ) ) )
% 0.26/0.58 => ( ( ( X4 = none_trm )
% 0.26/0.58 => ( ( Y2 = none_trm )
% 0.26/0.58 => ~ ( accp_P758790320on_trm @ uSubst691094423so_rel @ ( produc709594775on_trm @ none_trm @ Xa ) ) ) )
% 0.26/0.58 => ~ ! [V: trm] :
% 0.26/0.58 ( ( X4
% 0.26/0.58 = ( some_trm @ V ) )
% 0.26/0.58 => ( ( Xa = none_trm )
% 0.26/0.58 => ( ( Y2 = none_trm )
% 0.26/0.58 => ~ ( accp_P758790320on_trm @ uSubst691094423so_rel @ ( produc709594775on_trm @ ( some_trm @ V ) @ none_trm ) ) ) ) ) ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % Pluso.pelims
% 0.26/0.58 thf(fact_348_dot__def,axiom,
% 0.26/0.58 ( uSubst_Mirabelle_dot
% 0.26/0.58 = ( const @ ( char2 @ $false @ $true @ $true @ $true @ $false @ $true @ $false @ $false ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % dot_def
% 0.26/0.58 thf(fact_349_usubstappf__pred,axiom,
% 0.26/0.58 ! [Sigma2: produc1418842292n_game,P4: char,R2: fml,U2: set_variable,Theta2: trm,Sigma_theta: trm] :
% 0.26/0.58 ( ( ( produc1250175341on_fml
% 0.26/0.58 @ ^ [Uu: char > option_trm] :
% 0.26/0.58 ( produc1615133358on_fml
% 0.26/0.58 @ ^ [Uv: char > option_trm] :
% 0.26/0.58 ( produc1420172399on_fml
% 0.26/0.58 @ ^ [P3: char > option_fml,Uw: char > option_game] : P3 ) )
% 0.26/0.58 @ Sigma2
% 0.26/0.58 @ P4 )
% 0.26/0.58 = ( some_fml @ R2 ) )
% 0.26/0.58 => ( ( ( inf_inf_set_variable @ ( static_FVF @ R2 ) @ U2 )
% 0.26/0.58 = bot_bot_set_variable )
% 0.26/0.58 => ( ( ( uSubst516392818stappt @ Sigma2 @ U2 @ Theta2 )
% 0.26/0.58 = ( some_trm @ Sigma_theta ) )
% 0.26/0.58 => ( ( uSubst516392804stappf @ Sigma2 @ U2 @ ( pred @ P4 @ Theta2 ) )
% 0.26/0.58 = ( uSubst516392804stappf @ ( uSubst1408967625substt @ Sigma_theta ) @ bot_bot_set_variable @ R2 ) ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % usubstappf_pred
% 0.26/0.58 thf(fact_350_fml_Oinject_I1_J,axiom,
% 0.26/0.58 ! [X11: char,X122: trm,Y11: char,Y12: trm] :
% 0.26/0.58 ( ( ( pred @ X11 @ X122 )
% 0.26/0.58 = ( pred @ Y11 @ Y12 ) )
% 0.26/0.58 = ( ( X11 = Y11 )
% 0.26/0.58 & ( X122 = Y12 ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % fml.inject(1)
% 0.26/0.58 thf(fact_351_usubstappf__pred2,axiom,
% 0.26/0.58 ! [Sigma2: produc1418842292n_game,P4: char,R2: fml,U2: set_variable,Theta2: trm] :
% 0.26/0.58 ( ( ( produc1250175341on_fml
% 0.26/0.58 @ ^ [Uu: char > option_trm] :
% 0.26/0.58 ( produc1615133358on_fml
% 0.26/0.58 @ ^ [Uv: char > option_trm] :
% 0.26/0.58 ( produc1420172399on_fml
% 0.26/0.58 @ ^ [P3: char > option_fml,Uw: char > option_game] : P3 ) )
% 0.26/0.58 @ Sigma2
% 0.26/0.58 @ P4 )
% 0.26/0.58 = ( some_fml @ R2 ) )
% 0.26/0.58 => ( ( ( inf_inf_set_variable @ ( static_FVF @ R2 ) @ U2 )
% 0.26/0.58 != bot_bot_set_variable )
% 0.26/0.58 => ( ( uSubst516392804stappf @ Sigma2 @ U2 @ ( pred @ P4 @ Theta2 ) )
% 0.26/0.58 = none_fml ) ) ) ).
% 0.26/0.58
% 0.26/0.58 % usubstappf_pred2
% 0.26/0.58
% 0.26/0.58 % Helper facts (3)
% 0.26/0.58 thf(help_If_3_1_If_001t__Option__Ooption_It__Syntax__Otrm_J_T,axiom,
% 0.26/0.58 ! [P: $o] :
% 0.26/0.58 ( ( P = $true )
% 0.26/0.58 | ( P = $false ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(help_If_2_1_If_001t__Option__Ooption_It__Syntax__Otrm_J_T,axiom,
% 0.26/0.58 ! [X4: option_trm,Y2: option_trm] :
% 0.26/0.58 ( ( if_option_trm @ $false @ X4 @ Y2 )
% 0.26/0.58 = Y2 ) ).
% 0.26/0.58
% 0.26/0.58 thf(help_If_1_1_If_001t__Option__Ooption_It__Syntax__Otrm_J_T,axiom,
% 0.26/0.58 ! [X4: option_trm,Y2: option_trm] :
% 0.26/0.58 ( ( if_option_trm @ $true @ X4 @ Y2 )
% 0.26/0.58 = X4 ) ).
% 0.26/0.58
% 0.26/0.58 % Conjectures (1)
% 0.26/0.58 thf(conj_0,conjecture,
% 0.26/0.58 ( ( ( produc866613687on_trm
% 0.26/0.58 @ ^ [F0: char > option_trm] :
% 0.26/0.58 ( produc1231571704on_trm
% 0.26/0.58 @ ^ [Uu: char > option_trm] :
% 0.26/0.58 ( produc1036610745on_trm
% 0.26/0.68 @ ^ [Uv: char > option_fml,Uw: char > option_game] : F0 ) )
% 0.26/0.68 @ sigma
% 0.26/0.68 @ f )
% 0.26/0.68 = none_trm )
% 0.26/0.68 | ( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
% 0.26/0.68 = ( uSubst1559070963pconst @ sigma @ v @ f ) ) ) ).
% 0.26/0.68
% 0.26/0.68 %------------------------------------------------------------------------------
% 0.26/0.68 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.SOG8MRcQ19/cvc5---1.0.5_19830.p...
% 0.26/0.68 (declare-sort $$unsorted 0)
% 0.26/0.68 (declare-sort tptp.produc1699626005le_trm 0)
% 0.26/0.68 (declare-sort tptp.set_Pr720454634n_game 0)
% 0.26/0.68 (declare-sort tptp.produc1418842292n_game 0)
% 0.26/0.68 (declare-sort tptp.set_Pr739694057n_game 0)
% 0.26/0.68 (declare-sort tptp.produc62062515n_game 0)
% 0.26/0.68 (declare-sort tptp.set_Pr79606376n_game 0)
% 0.26/0.68 (declare-sort tptp.produc799602994n_game 0)
% 0.26/0.68 (declare-sort tptp.produc1016592119n_game 0)
% 0.26/0.68 (declare-sort tptp.produc1739631244on_fml 0)
% 0.26/0.68 (declare-sort tptp.produc1072747943on_trm 0)
% 0.26/0.68 (declare-sort tptp.produc46605351on_fml 0)
% 0.26/0.68 (declare-sort tptp.set_Pr943832262on_trm 0)
% 0.26/0.68 (declare-sort tptp.set_Pr1235432374le_trm 0)
% 0.26/0.68 (declare-sort tptp.produc1024976764on_trm 0)
% 0.26/0.68 (declare-sort tptp.produc1408538418on_fml 0)
% 0.26/0.68 (declare-sort tptp.produc464795408on_trm 0)
% 0.26/0.68 (declare-sort tptp.produc833882726rp_trm 0)
% 0.26/0.68 (declare-sort tptp.produc1367888000le_trm 0)
% 0.26/0.68 (declare-sort tptp.option_game 0)
% 0.26/0.68 (declare-sort tptp.option_trm 0)
% 0.26/0.68 (declare-sort tptp.option_fml 0)
% 0.26/0.68 (declare-sort tptp.denotational_interp 0)
% 0.26/0.68 (declare-sort tptp.set_variable 0)
% 0.26/0.68 (declare-sort tptp.set_char 0)
% 0.26/0.68 (declare-sort tptp.variable 0)
% 0.26/0.68 (declare-sort tptp.game 0)
% 0.26/0.68 (declare-sort tptp.char 0)
% 0.26/0.68 (declare-sort tptp.trm 0)
% 0.26/0.68 (declare-sort tptp.fml 0)
% 0.26/0.68 (declare-sort tptp.real 0)
% 0.26/0.68 (declare-fun tptp.if_option_trm (Bool tptp.option_trm tptp.option_trm) tptp.option_trm)
% 0.26/0.68 (declare-fun tptp.inf_in243546115game_o ((-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) Bool) (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) Bool) (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game)) Bool)
% 0.26/0.68 (declare-fun tptp.inf_in1072207554game_o ((-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game Bool) (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game Bool) (-> tptp.char tptp.option_trm) tptp.produc799602994n_game) Bool)
% 0.26/0.68 (declare-fun tptp.inf_in1920662529game_o ((-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game Bool) (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game Bool) (-> tptp.char tptp.option_trm) tptp.produc62062515n_game) Bool)
% 0.26/0.68 (declare-fun tptp.inf_in185389155_trm_o ((-> tptp.set_variable tptp.trm Bool) (-> tptp.set_variable tptp.trm Bool) tptp.set_variable tptp.trm) Bool)
% 0.26/0.68 (declare-fun tptp.inf_in605351507_trm_o ((-> tptp.char tptp.option_trm Bool) (-> tptp.char tptp.option_trm Bool) tptp.char tptp.option_trm) Bool)
% 0.26/0.68 (declare-fun tptp.inf_inf_char_o ((-> tptp.char Bool) (-> tptp.char Bool) tptp.char) Bool)
% 0.26/0.68 (declare-fun tptp.inf_inf_variable_o ((-> tptp.variable Bool) (-> tptp.variable Bool) tptp.variable) Bool)
% 0.26/0.68 (declare-fun tptp.inf_in1391117306n_game (tptp.set_Pr79606376n_game tptp.set_Pr79606376n_game) tptp.set_Pr79606376n_game)
% 0.26/0.68 (declare-fun tptp.inf_in69689467n_game (tptp.set_Pr739694057n_game tptp.set_Pr739694057n_game) tptp.set_Pr739694057n_game)
% 0.26/0.68 (declare-fun tptp.inf_in360367996n_game (tptp.set_Pr720454634n_game tptp.set_Pr720454634n_game) tptp.set_Pr720454634n_game)
% 0.26/0.68 (declare-fun tptp.inf_in906025800le_trm (tptp.set_Pr1235432374le_trm tptp.set_Pr1235432374le_trm) tptp.set_Pr1235432374le_trm)
% 0.26/0.68 (declare-fun tptp.inf_in1243659096on_trm (tptp.set_Pr943832262on_trm tptp.set_Pr943832262on_trm) tptp.set_Pr943832262on_trm)
% 0.26/0.68 (declare-fun tptp.inf_inf_set_char (tptp.set_char tptp.set_char) tptp.set_char)
% 0.26/0.68 (declare-fun tptp.inf_inf_set_variable (tptp.set_variable tptp.set_variable) tptp.set_variable)
% 0.26/0.68 (declare-fun tptp.combine_options_fml ((-> tptp.fml tptp.fml tptp.fml) tptp.option_fml tptp.option_fml) tptp.option_fml)
% 0.26/0.68 (declare-fun tptp.combine_options_game ((-> tptp.game tptp.game tptp.game) tptp.option_game tptp.option_game) tptp.option_game)
% 0.26/0.68 (declare-fun tptp.combine_options_trm ((-> tptp.trm tptp.trm tptp.trm) tptp.option_trm tptp.option_trm) tptp.option_trm)
% 0.26/0.68 (declare-fun tptp.none_fml () tptp.option_fml)
% 0.26/0.68 (declare-fun tptp.none_game () tptp.option_game)
% 0.26/0.68 (declare-fun tptp.none_trm () tptp.option_trm)
% 0.26/0.68 (declare-fun tptp.some_fml (tptp.fml) tptp.option_fml)
% 0.26/0.68 (declare-fun tptp.some_game (tptp.game) tptp.option_game)
% 0.26/0.68 (declare-fun tptp.some_trm (tptp.trm) tptp.option_trm)
% 0.26/0.68 (declare-fun tptp.case_option_o_fml (Bool (-> tptp.fml Bool) tptp.option_fml) Bool)
% 0.26/0.68 (declare-fun tptp.case_option_o_game (Bool (-> tptp.game Bool) tptp.option_game) Bool)
% 0.26/0.68 (declare-fun tptp.case_option_o_trm (Bool (-> tptp.trm Bool) tptp.option_trm) Bool)
% 0.26/0.68 (declare-fun tptp.case_o209804997ml_fml (tptp.option_fml (-> tptp.fml tptp.option_fml) tptp.option_fml) tptp.option_fml)
% 0.26/0.68 (declare-fun tptp.case_o696458451e_game (tptp.option_game (-> tptp.game tptp.option_game) tptp.option_game) tptp.option_game)
% 0.26/0.68 (declare-fun tptp.case_o487727941rm_trm (tptp.option_trm (-> tptp.trm tptp.option_trm) tptp.option_trm) tptp.option_trm)
% 0.26/0.68 (declare-fun tptp.the_fml (tptp.option_fml) tptp.fml)
% 0.26/0.68 (declare-fun tptp.the_game (tptp.option_game) tptp.game)
% 0.26/0.68 (declare-fun tptp.the_trm (tptp.option_trm) tptp.trm)
% 0.26/0.68 (declare-fun tptp.bot_bo1895715589game_o ((-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game)) Bool)
% 0.26/0.68 (declare-fun tptp.bot_bo1417568964game_o ((-> tptp.char tptp.option_trm) tptp.produc799602994n_game) Bool)
% 0.26/0.68 (declare-fun tptp.bot_bot_char_o (tptp.char) Bool)
% 0.26/0.68 (declare-fun tptp.bot_bot_variable_o (tptp.variable) Bool)
% 0.26/0.68 (declare-fun tptp.bot_bo456479484n_game () tptp.set_Pr79606376n_game)
% 0.26/0.68 (declare-fun tptp.bot_bo1302831229n_game () tptp.set_Pr739694057n_game)
% 0.26/0.68 (declare-fun tptp.bot_bot_set_char () tptp.set_char)
% 0.26/0.68 (declare-fun tptp.bot_bot_set_variable () tptp.set_variable)
% 0.26/0.68 (declare-fun tptp.produc123610156n_game ((-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game)) tptp.produc799602994n_game)
% 0.26/0.68 (declare-fun tptp.produc1048060077n_game ((-> tptp.char tptp.option_trm) tptp.produc799602994n_game) tptp.produc62062515n_game)
% 0.26/0.68 (declare-fun tptp.produc1618635950n_game ((-> tptp.char tptp.option_trm) tptp.produc62062515n_game) tptp.produc1418842292n_game)
% 0.26/0.68 (declare-fun tptp.produc1132922070rp_trm (tptp.denotational_interp tptp.trm) tptp.produc833882726rp_trm)
% 0.26/0.68 (declare-fun tptp.produc909629463on_fml (tptp.option_fml tptp.option_fml) tptp.produc46605351on_fml)
% 0.26/0.68 (declare-fun tptp.produc2124676926on_fml (tptp.option_game tptp.option_fml) tptp.produc1739631244on_fml)
% 0.26/0.68 (declare-fun tptp.produc1111617711n_game (tptp.option_game tptp.option_game) tptp.produc1016592119n_game)
% 0.26/0.68 (declare-fun tptp.produc709594775on_trm (tptp.option_trm tptp.option_trm) tptp.produc1072747943on_trm)
% 0.26/0.68 (declare-fun tptp.produc2015636557le_trm (tptp.produc1418842292n_game tptp.produc1367888000le_trm) tptp.produc1699626005le_trm)
% 0.26/0.68 (declare-fun tptp.produc1482344242le_trm (tptp.set_variable tptp.trm) tptp.produc1367888000le_trm)
% 0.26/0.68 (declare-fun tptp.produc1500300866on_trm (tptp.char tptp.option_trm) tptp.produc464795408on_trm)
% 0.26/0.68 (declare-fun tptp.produc1205977188on_fml (tptp.variable tptp.option_fml) tptp.produc1408538418on_fml)
% 0.26/0.68 (declare-fun tptp.produc1743721902on_trm (tptp.variable tptp.option_trm) tptp.produc1024976764on_trm)
% 0.26/0.68 (declare-fun tptp.produc1598111045on_fml ((-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml) tptp.produc799602994n_game tptp.char) tptp.option_fml)
% 0.26/0.68 (declare-fun tptp.produc1214549391on_trm ((-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char) tptp.option_trm)
% 0.26/0.68 (declare-fun tptp.produc377919108on_fml ((-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml) tptp.produc62062515n_game tptp.char) tptp.option_fml)
% 0.26/0.68 (declare-fun tptp.produc2141841102on_trm ((-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.char) tptp.option_trm)
% 0.26/0.68 (declare-fun tptp.produc1278328899on_fml ((-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.char tptp.option_fml) tptp.produc1418842292n_game tptp.char) tptp.option_fml)
% 0.26/0.68 (declare-fun tptp.produc1420172399on_fml ((-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml) tptp.produc799602994n_game tptp.char) tptp.option_fml)
% 0.26/0.68 (declare-fun tptp.produc1036610745on_trm ((-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char) tptp.option_trm)
% 0.26/0.68 (declare-fun tptp.produc159680767game_o ((-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) Bool) tptp.produc799602994n_game) Bool)
% 0.26/0.68 (declare-fun tptp.produc347802313on_fml ((-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.option_fml) tptp.produc799602994n_game) tptp.option_fml)
% 0.26/0.68 (declare-fun tptp.produc885547027on_trm ((-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.option_trm) tptp.produc799602994n_game) tptp.option_trm)
% 0.26/0.68 (declare-fun tptp.produc629249376t_char ((-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.set_char) tptp.produc799602994n_game) tptp.set_char)
% 0.26/0.68 (declare-fun tptp.produc1615133358on_fml ((-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml) tptp.produc62062515n_game tptp.char) tptp.option_fml)
% 0.26/0.68 (declare-fun tptp.produc1231571704on_trm ((-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.char) tptp.option_trm)
% 0.26/0.68 (declare-fun tptp.produc1868740670game_o ((-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game Bool) tptp.produc62062515n_game) Bool)
% 0.26/0.68 (declare-fun tptp.produc154833544on_fml ((-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.option_fml) tptp.produc62062515n_game) tptp.option_fml)
% 0.26/0.68 (declare-fun tptp.produc692578258on_trm ((-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.option_trm) tptp.produc62062515n_game) tptp.option_trm)
% 0.26/0.68 (declare-fun tptp.produc1554403041t_char ((-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.set_char) tptp.produc62062515n_game) tptp.set_char)
% 0.26/0.68 (declare-fun tptp.produc1250175341on_fml ((-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.char tptp.option_fml) tptp.produc1418842292n_game tptp.char) tptp.option_fml)
% 0.26/0.68 (declare-fun tptp.produc866613687on_trm ((-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.char tptp.option_trm) tptp.produc1418842292n_game tptp.char) tptp.option_trm)
% 0.26/0.68 (declare-fun tptp.produc1707653117game_o ((-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game Bool) tptp.produc1418842292n_game) Bool)
% 0.26/0.68 (declare-fun tptp.produc1499310791on_fml ((-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.option_fml) tptp.produc1418842292n_game) tptp.option_fml)
% 0.26/0.68 (declare-fun tptp.produc1002100706t_char ((-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.set_char) tptp.produc1418842292n_game) tptp.set_char)
% 0.26/0.68 (declare-fun tptp.produc82209913_trm_o ((-> tptp.set_variable tptp.trm Bool) tptp.produc1367888000le_trm) Bool)
% 0.26/0.68 (declare-fun tptp.produc836445798t_char ((-> tptp.set_variable tptp.trm tptp.set_char) tptp.produc1367888000le_trm) tptp.set_char)
% 0.26/0.68 (declare-fun tptp.produc584666985_trm_o ((-> tptp.char tptp.option_trm Bool) tptp.produc464795408on_trm) Bool)
% 0.26/0.68 (declare-fun tptp.produc33263478t_char ((-> tptp.char tptp.option_trm tptp.set_char) tptp.produc464795408on_trm) tptp.set_char)
% 0.26/0.68 (declare-fun tptp.collect_char ((-> tptp.char Bool)) tptp.set_char)
% 0.26/0.68 (declare-fun tptp.collect_variable ((-> tptp.variable Bool)) tptp.set_variable)
% 0.26/0.68 (declare-fun tptp.is_empty_variable (tptp.set_variable) Bool)
% 0.26/0.68 (declare-fun tptp.static_FVF (tptp.fml) tptp.set_variable)
% 0.26/0.68 (declare-fun tptp.static_FVT (tptp.trm) tptp.set_variable)
% 0.26/0.68 (declare-fun tptp.char2 (Bool Bool Bool Bool Bool Bool Bool Bool) tptp.char)
% 0.26/0.68 (declare-fun tptp.geq (tptp.trm tptp.trm) tptp.fml)
% 0.26/0.68 (declare-fun tptp.pred (tptp.char tptp.trm) tptp.fml)
% 0.26/0.68 (declare-fun tptp.const (tptp.char) tptp.trm)
% 0.26/0.68 (declare-fun tptp.differential (tptp.trm) tptp.trm)
% 0.26/0.68 (declare-fun tptp.func (tptp.char tptp.trm) tptp.trm)
% 0.26/0.68 (declare-fun tptp.number (tptp.real) tptp.trm)
% 0.26/0.68 (declare-fun tptp.plus (tptp.trm tptp.trm) tptp.trm)
% 0.26/0.68 (declare-fun tptp.times (tptp.trm tptp.trm) tptp.trm)
% 0.26/0.68 (declare-fun tptp.var (tptp.variable) tptp.trm)
% 0.26/0.68 (declare-fun tptp.uSubst716837505ntialo (tptp.option_trm) tptp.option_trm)
% 0.26/0.68 (declare-fun tptp.uSubst152838031e_Geqo (tptp.option_trm tptp.option_trm) tptp.option_fml)
% 0.26/0.68 (declare-fun tptp.uSubst1304144938qo_rel (tptp.produc1072747943on_trm tptp.produc1072747943on_trm) Bool)
% 0.26/0.68 (declare-fun tptp.uSubst141955042_Pluso (tptp.option_trm tptp.option_trm) tptp.option_trm)
% 0.26/0.68 (declare-fun tptp.uSubst691094423so_rel (tptp.produc1072747943on_trm tptp.produc1072747943on_trm) Bool)
% 0.26/0.68 (declare-fun tptp.uSubst918876924Timeso (tptp.option_trm tptp.option_trm) tptp.option_trm)
% 0.26/0.68 (declare-fun tptp.uSubst924844285so_rel (tptp.produc1072747943on_trm tptp.produc1072747943on_trm) Bool)
% 0.26/0.68 (declare-fun tptp.uSubst_Mirabelle_dot () tptp.trm)
% 0.26/0.68 (declare-fun tptp.uSubst1408967625substt (tptp.trm) tptp.produc1418842292n_game)
% 0.26/0.68 (declare-fun tptp.uSubst1559070963pconst (tptp.produc1418842292n_game tptp.set_variable tptp.char) tptp.option_trm)
% 0.26/0.68 (declare-fun tptp.uSubst516392804stappf (tptp.produc1418842292n_game tptp.set_variable tptp.fml) tptp.option_fml)
% 0.26/0.68 (declare-fun tptp.uSubst516392818stappt (tptp.produc1418842292n_game tptp.set_variable tptp.trm) tptp.option_trm)
% 0.26/0.68 (declare-fun tptp.uSubst1917534215pt_rel (tptp.produc1699626005le_trm tptp.produc1699626005le_trm) Bool)
% 0.26/0.68 (declare-fun tptp.accp_P758790320on_trm ((-> tptp.produc1072747943on_trm tptp.produc1072747943on_trm Bool) tptp.produc1072747943on_trm) Bool)
% 0.26/0.68 (declare-fun tptp.accp_P1877119646le_trm ((-> tptp.produc1699626005le_trm tptp.produc1699626005le_trm Bool) tptp.produc1699626005le_trm) Bool)
% 0.26/0.68 (declare-fun tptp.member849814089n_game (tptp.produc799602994n_game tptp.set_Pr79606376n_game) Bool)
% 0.26/0.68 (declare-fun tptp.member774167626n_game (tptp.produc62062515n_game tptp.set_Pr739694057n_game) Bool)
% 0.26/0.68 (declare-fun tptp.member1940201675n_game (tptp.produc1418842292n_game tptp.set_Pr720454634n_game) Bool)
% 0.26/0.68 (declare-fun tptp.member2122665623le_trm (tptp.produc1367888000le_trm tptp.set_Pr1235432374le_trm) Bool)
% 0.26/0.68 (declare-fun tptp.member694524327on_trm (tptp.produc464795408on_trm tptp.set_Pr943832262on_trm) Bool)
% 0.26/0.68 (declare-fun tptp.member_char (tptp.char tptp.set_char) Bool)
% 0.26/0.68 (declare-fun tptp.member_variable (tptp.variable tptp.set_variable) Bool)
% 0.26/0.68 (declare-fun tptp.u () tptp.set_variable)
% 0.26/0.68 (declare-fun tptp.v () tptp.set_variable)
% 0.26/0.68 (declare-fun tptp.sigma () tptp.produc1418842292n_game)
% 0.26/0.68 (declare-fun tptp.f () tptp.char)
% 0.26/0.68 (assert (forall ((Z tptp.option_trm) (F (-> tptp.trm tptp.option_trm)) (Za tptp.option_trm)) (let ((_let_1 (@ (@ (@ tptp.case_o487727941rm_trm Z) F) Za))) (let ((_let_2 (= Za tptp.none_trm))) (and (=> _let_2 (= _let_1 Z)) (=> (not _let_2) (= _let_1 (@ F (@ tptp.the_trm Za)))))))))
% 0.26/0.68 (assert (not (= (@ (@ (@ tptp.uSubst516392818stappt tptp.sigma) tptp.u) (@ tptp.const tptp.f)) tptp.none_trm)))
% 0.26/0.68 (assert (not (= (@ (@ (@ tptp.uSubst516392818stappt tptp.sigma) tptp.v) (@ tptp.const tptp.f)) tptp.none_trm)))
% 0.26/0.68 (assert (=> (not (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f) tptp.none_trm)) (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f)))) tptp.u) tptp.bot_bot_set_variable)))
% 0.26/0.68 (assert (=> (not (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f) tptp.none_trm)) (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f)))) tptp.v) tptp.bot_bot_set_variable)))
% 0.26/0.68 (assert (= tptp.uSubst1559070963pconst (lambda ((Sigma tptp.produc1418842292n_game) (U tptp.set_variable) (F2 tptp.char)) (@ (@ (@ tptp.case_o487727941rm_trm (@ tptp.some_trm (@ tptp.const F2))) (lambda ((R tptp.trm)) (@ (@ (@ tptp.if_option_trm (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT R)) U) tptp.bot_bot_set_variable)) (@ tptp.some_trm R)) tptp.none_trm))) (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma) F2)))))
% 0.26/0.68 (assert (let ((_let_1 (@ tptp.const tptp.f))) (= (@ (@ (@ tptp.uSubst516392818stappt tptp.sigma) tptp.u) _let_1) (@ (@ (@ tptp.case_o487727941rm_trm (@ tptp.some_trm _let_1)) (lambda ((T tptp.trm)) (@ (@ (@ tptp.if_option_trm (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT T)) tptp.u) tptp.bot_bot_set_variable)) (@ tptp.some_trm T)) tptp.none_trm))) (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f)))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (F3 tptp.char)) (= (@ (@ (@ tptp.uSubst516392818stappt Sigma2) U2) (@ tptp.const F3)) (@ (@ (@ tptp.uSubst1559070963pconst Sigma2) U2) F3))))
% 0.26/0.68 (assert (= tptp.none_trm tptp.none_trm))
% 0.26/0.68 (assert (let ((_let_1 (@ (@ (@ tptp.uSubst1559070963pconst tptp.sigma) tptp.v) tptp.f))) (=> (not (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f) tptp.none_trm)) (and (=> (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f)))) tptp.v) tptp.bot_bot_set_variable) (= (@ tptp.some_trm (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f))) _let_1)) (=> (not (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f)))) tptp.v) tptp.bot_bot_set_variable)) (= tptp.none_trm _let_1))))))
% 0.26/0.68 (assert (let ((_let_1 (@ (@ (@ tptp.uSubst1559070963pconst tptp.sigma) tptp.u) tptp.f))) (=> (not (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f) tptp.none_trm)) (and (=> (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f)))) tptp.u) tptp.bot_bot_set_variable) (= (@ tptp.some_trm (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f))) _let_1)) (=> (not (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f)))) tptp.u) tptp.bot_bot_set_variable)) (= tptp.none_trm _let_1))))))
% 0.26/0.68 (assert (forall ((X3 tptp.char) (Y3 tptp.char)) (= (= (@ tptp.const X3) (@ tptp.const Y3)) (= X3 Y3))))
% 0.26/0.68 (assert (= tptp.produc1250175341on_fml (lambda ((F2 (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.char tptp.option_fml)) (X tptp.produc1418842292n_game) (Y tptp.char)) (@ (@ tptp.produc1499310791on_fml (lambda ((L (-> tptp.char tptp.option_trm)) (R tptp.produc62062515n_game)) (@ (@ (@ F2 L) R) Y))) X))))
% 0.26/0.68 (assert (= tptp.produc1231571704on_trm (lambda ((F2 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm)) (X tptp.produc62062515n_game) (Y tptp.char)) (@ (@ tptp.produc692578258on_trm (lambda ((L (-> tptp.char tptp.option_trm)) (R tptp.produc799602994n_game)) (@ (@ (@ F2 L) R) Y))) X))))
% 0.26/0.68 (assert (= tptp.produc1615133358on_fml (lambda ((F2 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml)) (X tptp.produc62062515n_game) (Y tptp.char)) (@ (@ tptp.produc154833544on_fml (lambda ((L (-> tptp.char tptp.option_trm)) (R tptp.produc799602994n_game)) (@ (@ (@ F2 L) R) Y))) X))))
% 0.26/0.68 (assert (= tptp.produc1036610745on_trm (lambda ((F2 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm)) (X tptp.produc799602994n_game) (Y tptp.char)) (@ (@ tptp.produc885547027on_trm (lambda ((L (-> tptp.char tptp.option_fml)) (R (-> tptp.char tptp.option_game))) (@ (@ (@ F2 L) R) Y))) X))))
% 0.26/0.68 (assert (= tptp.produc1420172399on_fml (lambda ((F2 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml)) (X tptp.produc799602994n_game) (Y tptp.char)) (@ (@ tptp.produc347802313on_fml (lambda ((L (-> tptp.char tptp.option_fml)) (R (-> tptp.char tptp.option_game))) (@ (@ (@ F2 L) R) Y))) X))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (F3 tptp.char) (R2 tptp.trm) (U2 tptp.set_variable)) (let ((_let_1 (@ tptp.some_trm R2))) (=> (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) F3) _let_1) (=> (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT R2)) U2) tptp.bot_bot_set_variable) (= (@ (@ (@ tptp.uSubst516392818stappt Sigma2) U2) (@ tptp.const F3)) _let_1))))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (F3 tptp.char)) (=> (not (= (@ (@ (@ tptp.uSubst516392818stappt Sigma2) U2) (@ tptp.const F3)) tptp.none_trm)) (or (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) F3) tptp.none_trm) (exists ((R3 tptp.trm)) (and (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) F3) (@ tptp.some_trm R3)) (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT R3)) U2) tptp.bot_bot_set_variable)))))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (F3 tptp.char) (R2 tptp.trm) (U2 tptp.set_variable)) (let ((_let_1 (@ tptp.some_trm R2))) (=> (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) F3) _let_1) (=> (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT R2)) U2) tptp.bot_bot_set_variable) (= (@ (@ (@ tptp.uSubst1559070963pconst Sigma2) U2) F3) _let_1))))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (F3 tptp.char)) (=> (not (= (@ (@ (@ tptp.uSubst1559070963pconst Sigma2) U2) F3) tptp.none_trm)) (or (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) F3) tptp.none_trm) (exists ((R3 tptp.trm)) (and (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) F3) (@ tptp.some_trm R3)) (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT R3)) U2) tptp.bot_bot_set_variable)))))))
% 0.26/0.68 (assert (forall ((P (-> tptp.char tptp.option_trm Bool)) (A0 tptp.char) (A1 tptp.option_trm)) (=> (forall ((X2 tptp.char) (Theta tptp.trm)) (@ (@ P X2) (@ tptp.some_trm Theta))) (=> (forall ((X2 tptp.char)) (@ (@ P X2) tptp.none_trm)) (@ (@ P A0) A1)))))
% 0.26/0.68 (assert (forall ((Theta2 tptp.option_trm)) (= (not (= Theta2 tptp.none_trm)) (exists ((T tptp.trm)) (= Theta2 (@ tptp.some_trm T))))))
% 0.26/0.68 (assert (forall ((P (-> tptp.option_trm tptp.option_trm Bool)) (A0 tptp.option_trm) (A1 tptp.option_trm)) (=> (forall ((Theta tptp.trm) (Eta tptp.trm)) (@ (@ P (@ tptp.some_trm Theta)) (@ tptp.some_trm Eta))) (=> (forall ((X_1 tptp.option_trm)) (@ (@ P tptp.none_trm) X_1)) (=> (forall ((V tptp.trm)) (@ (@ P (@ tptp.some_trm V)) tptp.none_trm)) (@ (@ P A0) A1))))))
% 0.26/0.68 (assert (forall ((P (-> tptp.variable tptp.option_trm Bool)) (A0 tptp.variable) (A1 tptp.option_trm)) (=> (forall ((X2 tptp.variable) (Theta tptp.trm)) (@ (@ P X2) (@ tptp.some_trm Theta))) (=> (forall ((X2 tptp.variable)) (@ (@ P X2) tptp.none_trm)) (@ (@ P A0) A1)))))
% 0.26/0.68 (assert (= tptp.some_trm tptp.some_trm))
% 0.26/0.68 (assert (forall ((P (-> tptp.option_trm Bool)) (A0 tptp.option_trm)) (=> (forall ((Theta tptp.trm)) (@ P (@ tptp.some_trm Theta))) (=> (@ P tptp.none_trm) (@ P A0)))))
% 0.26/0.68 (assert (forall ((X4 tptp.option_trm)) (=> (forall ((Theta tptp.trm)) (not (= X4 (@ tptp.some_trm Theta)))) (= X4 tptp.none_trm))))
% 0.26/0.68 (assert (forall ((Option tptp.option_trm)) (=> (not (= Option tptp.none_trm)) (= (@ tptp.some_trm (@ tptp.the_trm Option)) Option))))
% 0.26/0.68 (assert (forall ((Option tptp.option_fml)) (=> (not (= Option tptp.none_fml)) (= (@ tptp.some_fml (@ tptp.the_fml Option)) Option))))
% 0.26/0.68 (assert (forall ((Option tptp.option_game)) (=> (not (= Option tptp.none_game)) (= (@ tptp.some_game (@ tptp.the_game Option)) Option))))
% 0.26/0.68 (assert (forall ((X4 tptp.option_trm)) (= (forall ((Y tptp.trm)) (not (= X4 (@ tptp.some_trm Y)))) (= X4 tptp.none_trm))))
% 0.26/0.68 (assert (forall ((X4 tptp.option_fml)) (= (forall ((Y tptp.fml)) (not (= X4 (@ tptp.some_fml Y)))) (= X4 tptp.none_fml))))
% 0.26/0.68 (assert (forall ((X4 tptp.option_game)) (= (forall ((Y tptp.game)) (not (= X4 (@ tptp.some_game Y)))) (= X4 tptp.none_game))))
% 0.26/0.68 (assert (forall ((X4 tptp.option_trm)) (= (not (= X4 tptp.none_trm)) (exists ((Y tptp.trm)) (= X4 (@ tptp.some_trm Y))))))
% 0.26/0.68 (assert (forall ((X4 tptp.option_fml)) (= (not (= X4 tptp.none_fml)) (exists ((Y tptp.fml)) (= X4 (@ tptp.some_fml Y))))))
% 0.26/0.68 (assert (forall ((X4 tptp.option_game)) (= (not (= X4 tptp.none_game)) (exists ((Y tptp.game)) (= X4 (@ tptp.some_game Y))))))
% 0.26/0.68 (assert (forall ((X4 tptp.set_variable)) (= (@ (@ tptp.inf_inf_set_variable tptp.bot_bot_set_variable) X4) tptp.bot_bot_set_variable)))
% 0.26/0.68 (assert (forall ((X4 tptp.set_variable)) (= (@ (@ tptp.inf_inf_set_variable X4) tptp.bot_bot_set_variable) tptp.bot_bot_set_variable)))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (F3 tptp.char) (R2 tptp.trm) (U2 tptp.set_variable) (Theta2 tptp.trm)) (=> (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((F4 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F4 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) F3) (@ tptp.some_trm R2)) (=> (not (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT R2)) U2) tptp.bot_bot_set_variable)) (= (@ (@ (@ tptp.uSubst516392818stappt Sigma2) U2) (@ (@ tptp.func F3) Theta2)) tptp.none_trm)))))
% 0.26/0.68 (assert (forall ((P (-> tptp.option_trm Bool)) (F1 tptp.option_trm) (F22 (-> tptp.trm tptp.option_trm)) (Option tptp.option_trm)) (let ((_let_1 (@ tptp.the_trm Option))) (= (@ P (@ (@ (@ tptp.case_o487727941rm_trm F1) F22) Option)) (not (or (and (= Option tptp.none_trm) (not (@ P F1))) (and (= Option (@ tptp.some_trm _let_1)) (not (@ P (@ F22 _let_1))))))))))
% 0.26/0.68 (assert (forall ((P (-> tptp.option_trm Bool)) (F1 tptp.option_trm) (F22 (-> tptp.trm tptp.option_trm)) (Option tptp.option_trm)) (let ((_let_1 (@ tptp.the_trm Option))) (= (@ P (@ (@ (@ tptp.case_o487727941rm_trm F1) F22) Option)) (and (=> (= Option tptp.none_trm) (@ P F1)) (=> (= Option (@ tptp.some_trm _let_1)) (@ P (@ F22 _let_1))))))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (F3 tptp.char) (Theta2 tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (=> (not (= (@ _let_1 (@ (@ tptp.func F3) Theta2)) tptp.none_trm)) (and (not (= (@ _let_1 Theta2) tptp.none_trm)) (or (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((F4 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F4 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) F3) tptp.none_trm) (exists ((R3 tptp.trm)) (and (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((F4 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F4 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) F3) (@ tptp.some_trm R3)) (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT R3)) U2) tptp.bot_bot_set_variable)))))))))
% 0.26/0.68 (assert (= tptp.case_o487727941rm_trm (lambda ((F12 tptp.option_trm) (F23 (-> tptp.trm tptp.option_trm)) (Option2 tptp.option_trm)) (@ (@ (@ tptp.if_option_trm (= Option2 tptp.none_trm)) F12) (@ F23 (@ tptp.the_trm Option2))))))
% 0.26/0.68 (assert (forall ((X4 tptp.set_variable) (Y2 tptp.set_variable)) (let ((_let_1 (@ (@ tptp.inf_inf_set_variable X4) Y2))) (= (@ (@ tptp.inf_inf_set_variable _let_1) Y2) _let_1))))
% 0.26/0.68 (assert (forall ((A tptp.set_variable) (B tptp.set_variable)) (let ((_let_1 (@ (@ tptp.inf_inf_set_variable A) B))) (= (@ (@ tptp.inf_inf_set_variable _let_1) B) _let_1))))
% 0.26/0.68 (assert (forall ((X4 tptp.set_variable) (Y2 tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable X4))) (let ((_let_2 (@ _let_1 Y2))) (= (@ _let_1 _let_2) _let_2)))))
% 0.26/0.68 (assert (forall ((A tptp.set_variable) (B tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable A))) (let ((_let_2 (@ _let_1 B))) (= (@ _let_1 _let_2) _let_2)))))
% 0.26/0.68 (assert (forall ((X4 tptp.set_variable)) (= (@ (@ tptp.inf_inf_set_variable X4) X4) X4)))
% 0.26/0.68 (assert (forall ((A tptp.set_variable)) (= (@ (@ tptp.inf_inf_set_variable A) A) A)))
% 0.26/0.68 (assert (forall ((X22 tptp.trm) (Y22 tptp.trm)) (= (= (@ tptp.some_trm X22) (@ tptp.some_trm Y22)) (= X22 Y22))))
% 0.26/0.68 (assert (forall ((X22 tptp.fml) (Y22 tptp.fml)) (= (= (@ tptp.some_fml X22) (@ tptp.some_fml Y22)) (= X22 Y22))))
% 0.26/0.68 (assert (forall ((X22 tptp.game) (Y22 tptp.game)) (= (= (@ tptp.some_game X22) (@ tptp.some_game Y22)) (= X22 Y22))))
% 0.26/0.68 (assert (forall ((X41 tptp.char) (X42 tptp.trm) (Y41 tptp.char) (Y42 tptp.trm)) (= (= (@ (@ tptp.func X41) X42) (@ (@ tptp.func Y41) Y42)) (and (= X41 Y41) (= X42 Y42)))))
% 0.26/0.68 (assert (forall ((Option tptp.option_trm)) (= (not (= Option tptp.none_trm)) (@ (@ (@ tptp.case_option_o_trm false) (lambda ((Uu tptp.trm)) true)) Option))))
% 0.26/0.68 (assert (forall ((Option tptp.option_fml)) (= (not (= Option tptp.none_fml)) (@ (@ (@ tptp.case_option_o_fml false) (lambda ((Uu tptp.fml)) true)) Option))))
% 0.26/0.68 (assert (forall ((Option tptp.option_game)) (= (not (= Option tptp.none_game)) (@ (@ (@ tptp.case_option_o_game false) (lambda ((Uu tptp.game)) true)) Option))))
% 0.26/0.68 (assert (forall ((Option tptp.option_trm)) (= (= Option tptp.none_trm) (@ (@ (@ tptp.case_option_o_trm true) (lambda ((Uu tptp.trm)) false)) Option))))
% 0.26/0.68 (assert (forall ((Option tptp.option_fml)) (= (= Option tptp.none_fml) (@ (@ (@ tptp.case_option_o_fml true) (lambda ((Uu tptp.fml)) false)) Option))))
% 0.26/0.68 (assert (forall ((Option tptp.option_game)) (= (= Option tptp.none_game) (@ (@ (@ tptp.case_option_o_game true) (lambda ((Uu tptp.game)) false)) Option))))
% 0.26/0.68 (assert (forall ((A tptp.variable) (P (-> tptp.variable Bool))) (= (@ (@ tptp.member_variable A) (@ tptp.collect_variable P)) (@ P A))))
% 0.26/0.68 (assert (forall ((A tptp.char) (P (-> tptp.char Bool))) (= (@ (@ tptp.member_char A) (@ tptp.collect_char P)) (@ P A))))
% 0.26/0.68 (assert (forall ((A2 tptp.set_variable)) (= (@ tptp.collect_variable (lambda ((X tptp.variable)) (@ (@ tptp.member_variable X) A2))) A2)))
% 0.26/0.68 (assert (forall ((A2 tptp.set_char)) (= (@ tptp.collect_char (lambda ((X tptp.char)) (@ (@ tptp.member_char X) A2))) A2)))
% 0.26/0.68 (assert (forall ((P (-> tptp.variable Bool)) (Q (-> tptp.variable Bool))) (=> (forall ((X2 tptp.variable)) (= (@ P X2) (@ Q X2))) (= (@ tptp.collect_variable P) (@ tptp.collect_variable Q)))))
% 0.26/0.68 (assert (forall ((P (-> tptp.char Bool)) (Q (-> tptp.char Bool))) (=> (forall ((X2 tptp.char)) (= (@ P X2) (@ Q X2))) (= (@ tptp.collect_char P) (@ tptp.collect_char Q)))))
% 0.26/0.68 (assert (forall ((X3 tptp.char) (X41 tptp.char) (X42 tptp.trm)) (not (= (@ tptp.const X3) (@ (@ tptp.func X41) X42)))))
% 0.26/0.68 (assert (forall ((P Bool) (Q (-> tptp.trm Bool)) (X4 tptp.option_trm)) (=> (@ (@ (@ tptp.case_option_o_trm P) Q) X4) (=> (=> (= X4 tptp.none_trm) (not P)) (not (forall ((Y4 tptp.trm)) (=> (= X4 (@ tptp.some_trm Y4)) (not (@ Q Y4)))))))))
% 0.26/0.68 (assert (forall ((P Bool) (Q (-> tptp.fml Bool)) (X4 tptp.option_fml)) (=> (@ (@ (@ tptp.case_option_o_fml P) Q) X4) (=> (=> (= X4 tptp.none_fml) (not P)) (not (forall ((Y4 tptp.fml)) (=> (= X4 (@ tptp.some_fml Y4)) (not (@ Q Y4)))))))))
% 0.26/0.68 (assert (forall ((P Bool) (Q (-> tptp.game Bool)) (X4 tptp.option_game)) (=> (@ (@ (@ tptp.case_option_o_game P) Q) X4) (=> (=> (= X4 tptp.none_game) (not P)) (not (forall ((Y4 tptp.game)) (=> (= X4 (@ tptp.some_game Y4)) (not (@ Q Y4)))))))))
% 0.26/0.68 (assert (forall ((X4 tptp.set_variable) (Y2 tptp.set_variable) (Z2 tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable X4))) (let ((_let_2 (@ tptp.inf_inf_set_variable Y2))) (= (@ _let_1 (@ _let_2 Z2)) (@ _let_2 (@ _let_1 Z2)))))))
% 0.26/0.68 (assert (forall ((B tptp.set_variable) (A tptp.set_variable) (C tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable B))) (let ((_let_2 (@ tptp.inf_inf_set_variable A))) (= (@ _let_1 (@ _let_2 C)) (@ _let_2 (@ _let_1 C)))))))
% 0.26/0.68 (assert (= tptp.inf_inf_set_variable (lambda ((X tptp.set_variable) (Y tptp.set_variable)) (@ (@ tptp.inf_inf_set_variable Y) X))))
% 0.26/0.68 (assert (= tptp.inf_inf_set_variable (lambda ((A3 tptp.set_variable) (B2 tptp.set_variable)) (@ (@ tptp.inf_inf_set_variable B2) A3))))
% 0.26/0.68 (assert (forall ((X4 tptp.set_variable) (Y2 tptp.set_variable) (Z2 tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable X4))) (= (@ (@ tptp.inf_inf_set_variable (@ _let_1 Y2)) Z2) (@ _let_1 (@ (@ tptp.inf_inf_set_variable Y2) Z2))))))
% 0.26/0.68 (assert (forall ((A tptp.set_variable) (B tptp.set_variable) (C tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable A))) (= (@ (@ tptp.inf_inf_set_variable (@ _let_1 B)) C) (@ _let_1 (@ (@ tptp.inf_inf_set_variable B) C))))))
% 0.26/0.68 (assert (forall ((B3 tptp.set_variable) (K tptp.set_variable) (B tptp.set_variable) (A tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable A))) (let ((_let_2 (@ tptp.inf_inf_set_variable K))) (=> (= B3 (@ _let_2 B)) (= (@ _let_1 B3) (@ _let_2 (@ _let_1 B))))))))
% 0.26/0.68 (assert (forall ((A2 tptp.set_variable) (K tptp.set_variable) (A tptp.set_variable) (B tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable K))) (=> (= A2 (@ _let_1 A)) (= (@ (@ tptp.inf_inf_set_variable A2) B) (@ _let_1 (@ (@ tptp.inf_inf_set_variable A) B)))))))
% 0.26/0.68 (assert (= tptp.inf_inf_set_variable (lambda ((X tptp.set_variable) (Y tptp.set_variable)) (@ (@ tptp.inf_inf_set_variable Y) X))))
% 0.26/0.68 (assert (forall ((X4 tptp.set_variable) (Y2 tptp.set_variable) (Z2 tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable X4))) (= (@ (@ tptp.inf_inf_set_variable (@ _let_1 Y2)) Z2) (@ _let_1 (@ (@ tptp.inf_inf_set_variable Y2) Z2))))))
% 0.26/0.68 (assert (forall ((X4 tptp.set_variable) (Y2 tptp.set_variable) (Z2 tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable X4))) (let ((_let_2 (@ tptp.inf_inf_set_variable Y2))) (= (@ _let_1 (@ _let_2 Z2)) (@ _let_2 (@ _let_1 Z2)))))))
% 0.26/0.68 (assert (forall ((X4 tptp.set_variable) (Y2 tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable X4))) (let ((_let_2 (@ _let_1 Y2))) (= (@ _let_1 _let_2) _let_2)))))
% 0.26/0.68 (assert (forall ((H (-> tptp.option_trm tptp.option_trm)) (F1 tptp.option_trm) (F22 (-> tptp.trm tptp.option_trm)) (Option tptp.option_trm)) (= (@ H (@ (@ (@ tptp.case_o487727941rm_trm F1) F22) Option)) (@ (@ (@ tptp.case_o487727941rm_trm (@ H F1)) (lambda ((X tptp.trm)) (@ H (@ F22 X)))) Option))))
% 0.26/0.68 (assert (forall ((X22 tptp.trm)) (not (= tptp.none_trm (@ tptp.some_trm X22)))))
% 0.26/0.68 (assert (forall ((X22 tptp.fml)) (not (= tptp.none_fml (@ tptp.some_fml X22)))))
% 0.26/0.68 (assert (forall ((X22 tptp.game)) (not (= tptp.none_game (@ tptp.some_game X22)))))
% 0.26/0.68 (assert (forall ((Option tptp.option_trm) (X22 tptp.trm)) (=> (= Option (@ tptp.some_trm X22)) (not (= Option tptp.none_trm)))))
% 0.26/0.68 (assert (forall ((Option tptp.option_fml) (X22 tptp.fml)) (=> (= Option (@ tptp.some_fml X22)) (not (= Option tptp.none_fml)))))
% 0.26/0.68 (assert (forall ((Option tptp.option_game) (X22 tptp.game)) (=> (= Option (@ tptp.some_game X22)) (not (= Option tptp.none_game)))))
% 0.26/0.68 (assert (forall ((Y2 tptp.option_trm)) (=> (not (= Y2 tptp.none_trm)) (not (forall ((X23 tptp.trm)) (not (= Y2 (@ tptp.some_trm X23))))))))
% 0.26/0.68 (assert (forall ((Y2 tptp.option_fml)) (=> (not (= Y2 tptp.none_fml)) (not (forall ((X23 tptp.fml)) (not (= Y2 (@ tptp.some_fml X23))))))))
% 0.26/0.68 (assert (forall ((Y2 tptp.option_game)) (=> (not (= Y2 tptp.none_game)) (not (forall ((X23 tptp.game)) (not (= Y2 (@ tptp.some_game X23))))))))
% 0.26/0.68 (assert (forall ((P (-> tptp.option_trm Bool)) (Option tptp.option_trm)) (=> (@ P tptp.none_trm) (=> (forall ((X2 tptp.trm)) (@ P (@ tptp.some_trm X2))) (@ P Option)))))
% 0.26/0.68 (assert (forall ((P (-> tptp.option_fml Bool)) (Option tptp.option_fml)) (=> (@ P tptp.none_fml) (=> (forall ((X2 tptp.fml)) (@ P (@ tptp.some_fml X2))) (@ P Option)))))
% 0.26/0.68 (assert (forall ((P (-> tptp.option_game Bool)) (Option tptp.option_game)) (=> (@ P tptp.none_game) (=> (forall ((X2 tptp.game)) (@ P (@ tptp.some_game X2))) (@ P Option)))))
% 0.26/0.68 (assert (= (lambda ((P2 (-> tptp.option_trm Bool))) (exists ((X5 tptp.option_trm)) (@ P2 X5))) (lambda ((P3 (-> tptp.option_trm Bool))) (or (@ P3 tptp.none_trm) (exists ((X tptp.trm)) (@ P3 (@ tptp.some_trm X)))))))
% 0.26/0.68 (assert (= (lambda ((P2 (-> tptp.option_fml Bool))) (exists ((X5 tptp.option_fml)) (@ P2 X5))) (lambda ((P3 (-> tptp.option_fml Bool))) (or (@ P3 tptp.none_fml) (exists ((X tptp.fml)) (@ P3 (@ tptp.some_fml X)))))))
% 0.26/0.68 (assert (= (lambda ((P2 (-> tptp.option_game Bool))) (exists ((X5 tptp.option_game)) (@ P2 X5))) (lambda ((P3 (-> tptp.option_game Bool))) (or (@ P3 tptp.none_game) (exists ((X tptp.game)) (@ P3 (@ tptp.some_game X)))))))
% 0.26/0.68 (assert (= (lambda ((P2 (-> tptp.option_trm Bool))) (forall ((X5 tptp.option_trm)) (@ P2 X5))) (lambda ((P3 (-> tptp.option_trm Bool))) (and (@ P3 tptp.none_trm) (forall ((X tptp.trm)) (@ P3 (@ tptp.some_trm X)))))))
% 0.26/0.68 (assert (= (lambda ((P2 (-> tptp.option_fml Bool))) (forall ((X5 tptp.option_fml)) (@ P2 X5))) (lambda ((P3 (-> tptp.option_fml Bool))) (and (@ P3 tptp.none_fml) (forall ((X tptp.fml)) (@ P3 (@ tptp.some_fml X)))))))
% 0.26/0.68 (assert (= (lambda ((P2 (-> tptp.option_game Bool))) (forall ((X5 tptp.option_game)) (@ P2 X5))) (lambda ((P3 (-> tptp.option_game Bool))) (and (@ P3 tptp.none_game) (forall ((X tptp.game)) (@ P3 (@ tptp.some_game X)))))))
% 0.26/0.68 (assert (forall ((X4 tptp.option_trm) (P (-> tptp.option_trm tptp.option_trm Bool)) (Y2 tptp.option_trm)) (let ((_let_1 (@ (@ P X4) Y2))) (=> (=> (= X4 tptp.none_trm) _let_1) (=> (=> (= Y2 tptp.none_trm) _let_1) (=> (forall ((A4 tptp.trm) (B4 tptp.trm)) (=> (= X4 (@ tptp.some_trm A4)) (=> (= Y2 (@ tptp.some_trm B4)) (@ (@ P X4) Y2)))) _let_1))))))
% 0.26/0.68 (assert (forall ((X4 tptp.option_trm) (P (-> tptp.option_trm tptp.option_fml Bool)) (Y2 tptp.option_fml)) (let ((_let_1 (@ (@ P X4) Y2))) (=> (=> (= X4 tptp.none_trm) _let_1) (=> (=> (= Y2 tptp.none_fml) _let_1) (=> (forall ((A4 tptp.trm) (B4 tptp.fml)) (=> (= X4 (@ tptp.some_trm A4)) (=> (= Y2 (@ tptp.some_fml B4)) (@ (@ P X4) Y2)))) _let_1))))))
% 0.26/0.68 (assert (forall ((X4 tptp.option_trm) (P (-> tptp.option_trm tptp.option_game Bool)) (Y2 tptp.option_game)) (let ((_let_1 (@ (@ P X4) Y2))) (=> (=> (= X4 tptp.none_trm) _let_1) (=> (=> (= Y2 tptp.none_game) _let_1) (=> (forall ((A4 tptp.trm) (B4 tptp.game)) (=> (= X4 (@ tptp.some_trm A4)) (=> (= Y2 (@ tptp.some_game B4)) (@ (@ P X4) Y2)))) _let_1))))))
% 0.26/0.68 (assert (forall ((X4 tptp.option_fml) (P (-> tptp.option_fml tptp.option_trm Bool)) (Y2 tptp.option_trm)) (let ((_let_1 (@ (@ P X4) Y2))) (=> (=> (= X4 tptp.none_fml) _let_1) (=> (=> (= Y2 tptp.none_trm) _let_1) (=> (forall ((A4 tptp.fml) (B4 tptp.trm)) (=> (= X4 (@ tptp.some_fml A4)) (=> (= Y2 (@ tptp.some_trm B4)) (@ (@ P X4) Y2)))) _let_1))))))
% 0.26/0.68 (assert (forall ((X4 tptp.option_fml) (P (-> tptp.option_fml tptp.option_fml Bool)) (Y2 tptp.option_fml)) (let ((_let_1 (@ (@ P X4) Y2))) (=> (=> (= X4 tptp.none_fml) _let_1) (=> (=> (= Y2 tptp.none_fml) _let_1) (=> (forall ((A4 tptp.fml) (B4 tptp.fml)) (=> (= X4 (@ tptp.some_fml A4)) (=> (= Y2 (@ tptp.some_fml B4)) (@ (@ P X4) Y2)))) _let_1))))))
% 0.26/0.68 (assert (forall ((X4 tptp.option_fml) (P (-> tptp.option_fml tptp.option_game Bool)) (Y2 tptp.option_game)) (let ((_let_1 (@ (@ P X4) Y2))) (=> (=> (= X4 tptp.none_fml) _let_1) (=> (=> (= Y2 tptp.none_game) _let_1) (=> (forall ((A4 tptp.fml) (B4 tptp.game)) (=> (= X4 (@ tptp.some_fml A4)) (=> (= Y2 (@ tptp.some_game B4)) (@ (@ P X4) Y2)))) _let_1))))))
% 0.26/0.68 (assert (forall ((X4 tptp.option_game) (P (-> tptp.option_game tptp.option_trm Bool)) (Y2 tptp.option_trm)) (let ((_let_1 (@ (@ P X4) Y2))) (=> (=> (= X4 tptp.none_game) _let_1) (=> (=> (= Y2 tptp.none_trm) _let_1) (=> (forall ((A4 tptp.game) (B4 tptp.trm)) (=> (= X4 (@ tptp.some_game A4)) (=> (= Y2 (@ tptp.some_trm B4)) (@ (@ P X4) Y2)))) _let_1))))))
% 0.26/0.68 (assert (forall ((X4 tptp.option_game) (P (-> tptp.option_game tptp.option_fml Bool)) (Y2 tptp.option_fml)) (let ((_let_1 (@ (@ P X4) Y2))) (=> (=> (= X4 tptp.none_game) _let_1) (=> (=> (= Y2 tptp.none_fml) _let_1) (=> (forall ((A4 tptp.game) (B4 tptp.fml)) (=> (= X4 (@ tptp.some_game A4)) (=> (= Y2 (@ tptp.some_fml B4)) (@ (@ P X4) Y2)))) _let_1))))))
% 0.26/0.68 (assert (forall ((X4 tptp.option_game) (P (-> tptp.option_game tptp.option_game Bool)) (Y2 tptp.option_game)) (let ((_let_1 (@ (@ P X4) Y2))) (=> (=> (= X4 tptp.none_game) _let_1) (=> (=> (= Y2 tptp.none_game) _let_1) (=> (forall ((A4 tptp.game) (B4 tptp.game)) (=> (= X4 (@ tptp.some_game A4)) (=> (= Y2 (@ tptp.some_game B4)) (@ (@ P X4) Y2)))) _let_1))))))
% 0.26/0.68 (assert (forall ((F1 tptp.option_trm) (F22 (-> tptp.trm tptp.option_trm))) (= (@ (@ (@ tptp.case_o487727941rm_trm F1) F22) tptp.none_trm) F1)))
% 0.26/0.68 (assert (forall ((F1 tptp.option_trm) (F22 (-> tptp.trm tptp.option_trm)) (X22 tptp.trm)) (= (@ (@ (@ tptp.case_o487727941rm_trm F1) F22) (@ tptp.some_trm X22)) (@ F22 X22))))
% 0.26/0.68 (assert (forall ((Option tptp.option_trm) (Option3 tptp.option_trm)) (let ((_let_1 (= Option3 tptp.none_trm))) (let ((_let_2 (= Option tptp.none_trm))) (=> (= _let_2 _let_1) (=> (=> (not _let_2) (=> (not _let_1) (= (@ tptp.the_trm Option) (@ tptp.the_trm Option3)))) (= Option Option3)))))))
% 0.26/0.68 (assert (forall ((Option tptp.option_fml) (Option3 tptp.option_fml)) (let ((_let_1 (= Option3 tptp.none_fml))) (let ((_let_2 (= Option tptp.none_fml))) (=> (= _let_2 _let_1) (=> (=> (not _let_2) (=> (not _let_1) (= (@ tptp.the_fml Option) (@ tptp.the_fml Option3)))) (= Option Option3)))))))
% 0.26/0.68 (assert (forall ((Option tptp.option_game) (Option3 tptp.option_game)) (let ((_let_1 (= Option3 tptp.none_game))) (let ((_let_2 (= Option tptp.none_game))) (=> (= _let_2 _let_1) (=> (=> (not _let_2) (=> (not _let_1) (= (@ tptp.the_game Option) (@ tptp.the_game Option3)))) (= Option Option3)))))))
% 0.26/0.68 (assert (forall ((X22 tptp.trm)) (= (@ tptp.the_trm (@ tptp.some_trm X22)) X22)))
% 0.26/0.68 (assert (forall ((X22 tptp.fml)) (= (@ tptp.the_fml (@ tptp.some_fml X22)) X22)))
% 0.26/0.68 (assert (forall ((X22 tptp.game)) (= (@ tptp.the_game (@ tptp.some_game X22)) X22)))
% 0.26/0.68 (assert (forall ((Option tptp.option_trm)) (=> (not (= Option tptp.none_trm)) (= Option (@ tptp.some_trm (@ tptp.the_trm Option))))))
% 0.26/0.68 (assert (forall ((Option tptp.option_fml)) (=> (not (= Option tptp.none_fml)) (= Option (@ tptp.some_fml (@ tptp.the_fml Option))))))
% 0.26/0.68 (assert (forall ((Option tptp.option_game)) (=> (not (= Option tptp.none_game)) (= Option (@ tptp.some_game (@ tptp.the_game Option))))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (F3 tptp.char) (R2 tptp.trm) (U2 tptp.set_variable) (Theta2 tptp.trm) (Sigma_theta tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (=> (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((F4 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F4 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) F3) (@ tptp.some_trm R2)) (=> (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT R2)) U2) tptp.bot_bot_set_variable) (=> (= (@ _let_1 Theta2) (@ tptp.some_trm Sigma_theta)) (= (@ _let_1 (@ (@ tptp.func F3) Theta2)) (@ (@ (@ tptp.uSubst516392818stappt (@ tptp.uSubst1408967625substt Sigma_theta)) tptp.bot_bot_set_variable) R2))))))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (F3 tptp.char) (Theta2 tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (= (@ _let_1 (@ (@ tptp.func F3) Theta2)) (@ (@ (@ tptp.case_o487727941rm_trm tptp.none_trm) (lambda ((Sigma_theta2 tptp.trm)) (@ (@ (@ tptp.case_o487727941rm_trm (@ tptp.some_trm (@ (@ tptp.func F3) Sigma_theta2))) (lambda ((R tptp.trm)) (@ (@ (@ tptp.if_option_trm (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT R)) U2) tptp.bot_bot_set_variable)) (@ (@ (@ tptp.uSubst516392818stappt (@ tptp.uSubst1408967625substt Sigma_theta2)) tptp.bot_bot_set_variable) R)) tptp.none_trm))) (@ (@ (@ tptp.produc866613687on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((F4 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F4 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) F3)))) (@ _let_1 Theta2))))))
% 0.26/0.68 (assert (forall ((C tptp.char) (A2 tptp.set_char) (B3 tptp.set_char)) (let ((_let_1 (@ tptp.member_char C))) (= (@ _let_1 (@ (@ tptp.inf_inf_set_char A2) B3)) (and (@ _let_1 A2) (@ _let_1 B3))))))
% 0.26/0.68 (assert (forall ((C tptp.variable) (A2 tptp.set_variable) (B3 tptp.set_variable)) (let ((_let_1 (@ tptp.member_variable C))) (= (@ _let_1 (@ (@ tptp.inf_inf_set_variable A2) B3)) (and (@ _let_1 A2) (@ _let_1 B3))))))
% 0.26/0.68 (assert (forall ((C tptp.char) (A2 tptp.set_char) (B3 tptp.set_char)) (let ((_let_1 (@ tptp.member_char C))) (=> (@ _let_1 A2) (=> (@ _let_1 B3) (@ _let_1 (@ (@ tptp.inf_inf_set_char A2) B3)))))))
% 0.26/0.68 (assert (forall ((C tptp.variable) (A2 tptp.set_variable) (B3 tptp.set_variable)) (let ((_let_1 (@ tptp.member_variable C))) (=> (@ _let_1 A2) (=> (@ _let_1 B3) (@ _let_1 (@ (@ tptp.inf_inf_set_variable A2) B3)))))))
% 0.26/0.68 (assert (forall ((P (-> tptp.char Bool))) (= (= tptp.bot_bot_set_char (@ tptp.collect_char P)) (forall ((X tptp.char)) (not (@ P X))))))
% 0.26/0.68 (assert (forall ((P (-> tptp.variable Bool))) (= (= tptp.bot_bot_set_variable (@ tptp.collect_variable P)) (forall ((X tptp.variable)) (not (@ P X))))))
% 0.26/0.68 (assert (forall ((P (-> tptp.char Bool))) (= (= (@ tptp.collect_char P) tptp.bot_bot_set_char) (forall ((X tptp.char)) (not (@ P X))))))
% 0.26/0.68 (assert (forall ((P (-> tptp.variable Bool))) (= (= (@ tptp.collect_variable P) tptp.bot_bot_set_variable) (forall ((X tptp.variable)) (not (@ P X))))))
% 0.26/0.68 (assert (forall ((A2 tptp.set_char)) (= (forall ((X tptp.char)) (not (@ (@ tptp.member_char X) A2))) (= A2 tptp.bot_bot_set_char))))
% 0.26/0.68 (assert (forall ((A2 tptp.set_variable)) (= (forall ((X tptp.variable)) (not (@ (@ tptp.member_variable X) A2))) (= A2 tptp.bot_bot_set_variable))))
% 0.26/0.68 (assert (forall ((C tptp.char)) (not (@ (@ tptp.member_char C) tptp.bot_bot_set_char))))
% 0.26/0.68 (assert (forall ((C tptp.variable)) (not (@ (@ tptp.member_variable C) tptp.bot_bot_set_variable))))
% 0.26/0.68 (assert (forall ((A tptp.char)) (not (@ (@ tptp.member_char A) tptp.bot_bot_set_char))))
% 0.26/0.68 (assert (forall ((A tptp.variable)) (not (@ (@ tptp.member_variable A) tptp.bot_bot_set_variable))))
% 0.26/0.68 (assert (forall ((A2 tptp.set_char) (A tptp.char)) (=> (= A2 tptp.bot_bot_set_char) (not (@ (@ tptp.member_char A) A2)))))
% 0.26/0.68 (assert (forall ((A2 tptp.set_variable) (A tptp.variable)) (=> (= A2 tptp.bot_bot_set_variable) (not (@ (@ tptp.member_variable A) A2)))))
% 0.26/0.68 (assert (forall ((A2 tptp.set_char)) (=> (forall ((Y4 tptp.char)) (not (@ (@ tptp.member_char Y4) A2))) (= A2 tptp.bot_bot_set_char))))
% 0.26/0.68 (assert (forall ((A2 tptp.set_variable)) (=> (forall ((Y4 tptp.variable)) (not (@ (@ tptp.member_variable Y4) A2))) (= A2 tptp.bot_bot_set_variable))))
% 0.26/0.68 (assert (forall ((A2 tptp.set_char)) (= (exists ((X tptp.char)) (@ (@ tptp.member_char X) A2)) (not (= A2 tptp.bot_bot_set_char)))))
% 0.26/0.68 (assert (forall ((A2 tptp.set_variable)) (= (exists ((X tptp.variable)) (@ (@ tptp.member_variable X) A2)) (not (= A2 tptp.bot_bot_set_variable)))))
% 0.26/0.68 (assert (= tptp.bot_bot_set_char (@ tptp.collect_char tptp.bot_bot_char_o)))
% 0.26/0.68 (assert (= tptp.bot_bot_set_variable (@ tptp.collect_variable tptp.bot_bot_variable_o)))
% 0.26/0.68 (assert (forall ((C tptp.char) (A2 tptp.set_char) (B3 tptp.set_char)) (let ((_let_1 (@ tptp.member_char C))) (=> (@ _let_1 (@ (@ tptp.inf_inf_set_char A2) B3)) (not (=> (@ _let_1 A2) (not (@ _let_1 B3))))))))
% 0.26/0.68 (assert (forall ((C tptp.variable) (A2 tptp.set_variable) (B3 tptp.set_variable)) (let ((_let_1 (@ tptp.member_variable C))) (=> (@ _let_1 (@ (@ tptp.inf_inf_set_variable A2) B3)) (not (=> (@ _let_1 A2) (not (@ _let_1 B3))))))))
% 0.26/0.68 (assert (forall ((C tptp.char) (A2 tptp.set_char) (B3 tptp.set_char)) (let ((_let_1 (@ tptp.member_char C))) (=> (@ _let_1 (@ (@ tptp.inf_inf_set_char A2) B3)) (@ _let_1 A2)))))
% 0.26/0.68 (assert (forall ((C tptp.variable) (A2 tptp.set_variable) (B3 tptp.set_variable)) (let ((_let_1 (@ tptp.member_variable C))) (=> (@ _let_1 (@ (@ tptp.inf_inf_set_variable A2) B3)) (@ _let_1 A2)))))
% 0.26/0.68 (assert (forall ((C tptp.char) (A2 tptp.set_char) (B3 tptp.set_char)) (let ((_let_1 (@ tptp.member_char C))) (=> (@ _let_1 (@ (@ tptp.inf_inf_set_char A2) B3)) (@ _let_1 B3)))))
% 0.26/0.68 (assert (forall ((C tptp.variable) (A2 tptp.set_variable) (B3 tptp.set_variable)) (let ((_let_1 (@ tptp.member_variable C))) (=> (@ _let_1 (@ (@ tptp.inf_inf_set_variable A2) B3)) (@ _let_1 B3)))))
% 0.26/0.68 (assert (forall ((A2 tptp.set_variable) (B3 tptp.set_variable) (C2 tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable A2))) (= (@ (@ tptp.inf_inf_set_variable (@ _let_1 B3)) C2) (@ _let_1 (@ (@ tptp.inf_inf_set_variable B3) C2))))))
% 0.26/0.68 (assert (forall ((A2 tptp.set_variable)) (= (@ (@ tptp.inf_inf_set_variable A2) A2) A2)))
% 0.26/0.68 (assert (= tptp.inf_inf_set_variable (lambda ((A5 tptp.set_variable) (B5 tptp.set_variable)) (@ (@ tptp.inf_inf_set_variable B5) A5))))
% 0.26/0.68 (assert (forall ((A2 tptp.set_variable) (B3 tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable A2))) (let ((_let_2 (@ _let_1 B3))) (= (@ _let_1 _let_2) _let_2)))))
% 0.26/0.68 (assert (forall ((A2 tptp.set_variable) (B3 tptp.set_variable) (C2 tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable A2))) (let ((_let_2 (@ tptp.inf_inf_set_variable B3))) (= (@ _let_1 (@ _let_2 C2)) (@ _let_2 (@ _let_1 C2)))))))
% 0.26/0.68 (assert (= tptp.bot_bot_set_char (@ tptp.collect_char (lambda ((X tptp.char)) false))))
% 0.26/0.68 (assert (= tptp.bot_bot_set_variable (@ tptp.collect_variable (lambda ((X tptp.variable)) false))))
% 0.26/0.68 (assert (forall ((P (-> tptp.char Bool)) (Q (-> tptp.char Bool))) (= (@ tptp.collect_char (lambda ((X tptp.char)) (and (@ P X) (@ Q X)))) (@ (@ tptp.inf_inf_set_char (@ tptp.collect_char P)) (@ tptp.collect_char Q)))))
% 0.26/0.68 (assert (forall ((P (-> tptp.variable Bool)) (Q (-> tptp.variable Bool))) (= (@ tptp.collect_variable (lambda ((X tptp.variable)) (and (@ P X) (@ Q X)))) (@ (@ tptp.inf_inf_set_variable (@ tptp.collect_variable P)) (@ tptp.collect_variable Q)))))
% 0.26/0.68 (assert (forall ((X4 tptp.char) (A2 tptp.set_char) (P (-> tptp.char Bool))) (let ((_let_1 (@ tptp.member_char X4))) (= (@ _let_1 (@ (@ tptp.inf_inf_set_char A2) (@ tptp.collect_char P))) (and (@ _let_1 A2) (@ P X4))))))
% 0.26/0.68 (assert (forall ((X4 tptp.variable) (A2 tptp.set_variable) (P (-> tptp.variable Bool))) (let ((_let_1 (@ tptp.member_variable X4))) (= (@ _let_1 (@ (@ tptp.inf_inf_set_variable A2) (@ tptp.collect_variable P))) (and (@ _let_1 A2) (@ P X4))))))
% 0.26/0.68 (assert (= tptp.inf_inf_set_char (lambda ((A5 tptp.set_char) (B5 tptp.set_char)) (@ tptp.collect_char (lambda ((X tptp.char)) (let ((_let_1 (@ tptp.member_char X))) (and (@ _let_1 A5) (@ _let_1 B5))))))))
% 0.26/0.68 (assert (= tptp.inf_inf_set_variable (lambda ((A5 tptp.set_variable) (B5 tptp.set_variable)) (@ tptp.collect_variable (lambda ((X tptp.variable)) (let ((_let_1 (@ tptp.member_variable X))) (and (@ _let_1 A5) (@ _let_1 B5))))))))
% 0.26/0.68 (assert (= tptp.inf_inf_set_char (lambda ((A5 tptp.set_char) (B5 tptp.set_char)) (@ tptp.collect_char (@ (@ tptp.inf_inf_char_o (lambda ((X tptp.char)) (@ (@ tptp.member_char X) A5))) (lambda ((X tptp.char)) (@ (@ tptp.member_char X) B5)))))))
% 0.26/0.68 (assert (= tptp.inf_inf_set_variable (lambda ((A5 tptp.set_variable) (B5 tptp.set_variable)) (@ tptp.collect_variable (@ (@ tptp.inf_inf_variable_o (lambda ((X tptp.variable)) (@ (@ tptp.member_variable X) A5))) (lambda ((X tptp.variable)) (@ (@ tptp.member_variable X) B5)))))))
% 0.26/0.68 (assert (forall ((A2 tptp.set_char) (B3 tptp.set_char)) (=> (forall ((X2 tptp.char)) (let ((_let_1 (@ tptp.member_char X2))) (=> (@ _let_1 A2) (not (@ _let_1 B3))))) (= (@ (@ tptp.inf_inf_set_char A2) B3) tptp.bot_bot_set_char))))
% 0.26/0.68 (assert (forall ((A2 tptp.set_variable) (B3 tptp.set_variable)) (=> (forall ((X2 tptp.variable)) (let ((_let_1 (@ tptp.member_variable X2))) (=> (@ _let_1 A2) (not (@ _let_1 B3))))) (= (@ (@ tptp.inf_inf_set_variable A2) B3) tptp.bot_bot_set_variable))))
% 0.26/0.68 (assert (forall ((A2 tptp.set_char) (B3 tptp.set_char)) (= (= (@ (@ tptp.inf_inf_set_char A2) B3) tptp.bot_bot_set_char) (forall ((X tptp.char)) (let ((_let_1 (@ tptp.member_char X))) (=> (@ _let_1 A2) (not (@ _let_1 B3))))))))
% 0.26/0.68 (assert (forall ((A2 tptp.set_variable) (B3 tptp.set_variable)) (= (= (@ (@ tptp.inf_inf_set_variable A2) B3) tptp.bot_bot_set_variable) (forall ((X tptp.variable)) (let ((_let_1 (@ tptp.member_variable X))) (=> (@ _let_1 A2) (not (@ _let_1 B3))))))))
% 0.26/0.68 (assert (forall ((B3 tptp.set_variable)) (= (@ (@ tptp.inf_inf_set_variable tptp.bot_bot_set_variable) B3) tptp.bot_bot_set_variable)))
% 0.26/0.68 (assert (forall ((A2 tptp.set_variable)) (= (@ (@ tptp.inf_inf_set_variable A2) tptp.bot_bot_set_variable) tptp.bot_bot_set_variable)))
% 0.26/0.68 (assert (forall ((A2 tptp.set_variable) (B3 tptp.set_variable)) (= (= (@ (@ tptp.inf_inf_set_variable A2) B3) tptp.bot_bot_set_variable) (forall ((X tptp.variable)) (=> (@ (@ tptp.member_variable X) A2) (forall ((Y tptp.variable)) (=> (@ (@ tptp.member_variable Y) B3) (not (= X Y)))))))))
% 0.26/0.68 (assert (forall ((P Bool) (Q (-> tptp.trm Bool)) (X4 tptp.option_trm) (R4 (-> tptp.option_trm Bool)) (F3 tptp.option_trm) (G (-> tptp.trm tptp.option_trm))) (=> (@ (@ (@ tptp.case_option_o_trm P) Q) X4) (=> (=> P (@ R4 F3)) (=> (forall ((Q2 tptp.trm)) (=> (@ Q Q2) (@ R4 (@ G Q2)))) (@ R4 (@ (@ (@ tptp.case_o487727941rm_trm F3) G) X4)))))))
% 0.26/0.68 (assert (= tptp.is_empty_variable (lambda ((A5 tptp.set_variable)) (= A5 tptp.bot_bot_set_variable))))
% 0.26/0.68 (assert (forall ((H (-> (-> tptp.char tptp.option_fml) tptp.char tptp.option_fml)) (F3 (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.char tptp.option_fml)) (Prod tptp.produc1418842292n_game)) (= (@ H (@ (@ tptp.produc1250175341on_fml F3) Prod)) (@ (@ tptp.produc1250175341on_fml (lambda ((X1 (-> tptp.char tptp.option_trm)) (X24 tptp.produc62062515n_game) (__flatten_var_0 tptp.char)) (@ (@ H (@ (@ F3 X1) X24)) __flatten_var_0))) Prod))))
% 0.26/0.68 (assert (forall ((H (-> (-> tptp.char tptp.option_trm) tptp.char tptp.option_trm)) (F3 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm)) (Prod tptp.produc62062515n_game)) (= (@ H (@ (@ tptp.produc1231571704on_trm F3) Prod)) (@ (@ tptp.produc1231571704on_trm (lambda ((X1 (-> tptp.char tptp.option_trm)) (X24 tptp.produc799602994n_game) (__flatten_var_0 tptp.char)) (@ (@ H (@ (@ F3 X1) X24)) __flatten_var_0))) Prod))))
% 0.26/0.68 (assert (forall ((H (-> (-> tptp.char tptp.option_trm) tptp.char tptp.option_fml)) (F3 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm)) (Prod tptp.produc62062515n_game)) (= (@ H (@ (@ tptp.produc1231571704on_trm F3) Prod)) (@ (@ tptp.produc1615133358on_fml (lambda ((X1 (-> tptp.char tptp.option_trm)) (X24 tptp.produc799602994n_game) (__flatten_var_0 tptp.char)) (@ (@ H (@ (@ F3 X1) X24)) __flatten_var_0))) Prod))))
% 0.26/0.68 (assert (forall ((H (-> (-> tptp.char tptp.option_fml) tptp.char tptp.option_trm)) (F3 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml)) (Prod tptp.produc62062515n_game)) (= (@ H (@ (@ tptp.produc1615133358on_fml F3) Prod)) (@ (@ tptp.produc1231571704on_trm (lambda ((X1 (-> tptp.char tptp.option_trm)) (X24 tptp.produc799602994n_game) (__flatten_var_0 tptp.char)) (@ (@ H (@ (@ F3 X1) X24)) __flatten_var_0))) Prod))))
% 0.26/0.68 (assert (forall ((H (-> (-> tptp.char tptp.option_fml) tptp.char tptp.option_fml)) (F3 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml)) (Prod tptp.produc62062515n_game)) (= (@ H (@ (@ tptp.produc1615133358on_fml F3) Prod)) (@ (@ tptp.produc1615133358on_fml (lambda ((X1 (-> tptp.char tptp.option_trm)) (X24 tptp.produc799602994n_game) (__flatten_var_0 tptp.char)) (@ (@ H (@ (@ F3 X1) X24)) __flatten_var_0))) Prod))))
% 0.26/0.68 (assert (forall ((H (-> (-> tptp.char tptp.option_trm) tptp.char tptp.option_trm)) (F3 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm)) (Prod tptp.produc799602994n_game)) (= (@ H (@ (@ tptp.produc1036610745on_trm F3) Prod)) (@ (@ tptp.produc1036610745on_trm (lambda ((X1 (-> tptp.char tptp.option_fml)) (X24 (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ (@ H (@ (@ F3 X1) X24)) __flatten_var_0))) Prod))))
% 0.26/0.68 (assert (forall ((H (-> (-> tptp.char tptp.option_trm) tptp.char tptp.option_fml)) (F3 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm)) (Prod tptp.produc799602994n_game)) (= (@ H (@ (@ tptp.produc1036610745on_trm F3) Prod)) (@ (@ tptp.produc1420172399on_fml (lambda ((X1 (-> tptp.char tptp.option_fml)) (X24 (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ (@ H (@ (@ F3 X1) X24)) __flatten_var_0))) Prod))))
% 0.26/0.68 (assert (forall ((H (-> (-> tptp.char tptp.option_fml) tptp.char tptp.option_trm)) (F3 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml)) (Prod tptp.produc799602994n_game)) (= (@ H (@ (@ tptp.produc1420172399on_fml F3) Prod)) (@ (@ tptp.produc1036610745on_trm (lambda ((X1 (-> tptp.char tptp.option_fml)) (X24 (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ (@ H (@ (@ F3 X1) X24)) __flatten_var_0))) Prod))))
% 0.26/0.68 (assert (forall ((H (-> (-> tptp.char tptp.option_fml) tptp.char tptp.option_fml)) (F3 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml)) (Prod tptp.produc799602994n_game)) (= (@ H (@ (@ tptp.produc1420172399on_fml F3) Prod)) (@ (@ tptp.produc1420172399on_fml (lambda ((X1 (-> tptp.char tptp.option_fml)) (X24 (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ (@ H (@ (@ F3 X1) X24)) __flatten_var_0))) Prod))))
% 0.26/0.68 (assert (forall ((R4 tptp.set_char) (S tptp.set_char)) (= (@ (@ tptp.inf_inf_char_o (lambda ((X tptp.char)) (@ (@ tptp.member_char X) R4))) (lambda ((X tptp.char)) (@ (@ tptp.member_char X) S))) (lambda ((X tptp.char)) (@ (@ tptp.member_char X) (@ (@ tptp.inf_inf_set_char R4) S))))))
% 0.26/0.68 (assert (forall ((R4 tptp.set_variable) (S tptp.set_variable)) (= (@ (@ tptp.inf_inf_variable_o (lambda ((X tptp.variable)) (@ (@ tptp.member_variable X) R4))) (lambda ((X tptp.variable)) (@ (@ tptp.member_variable X) S))) (lambda ((X tptp.variable)) (@ (@ tptp.member_variable X) (@ (@ tptp.inf_inf_set_variable R4) S))))))
% 0.26/0.68 (assert (forall ((V2 tptp.trm)) (= (@ (@ tptp.uSubst918876924Timeso (@ tptp.some_trm V2)) tptp.none_trm) tptp.none_trm)))
% 0.26/0.68 (assert (forall ((V2 tptp.trm)) (= (@ (@ tptp.uSubst141955042_Pluso (@ tptp.some_trm V2)) tptp.none_trm) tptp.none_trm)))
% 0.26/0.68 (assert (forall ((Eta2 tptp.option_trm)) (= (@ (@ tptp.uSubst141955042_Pluso tptp.none_trm) Eta2) tptp.none_trm)))
% 0.26/0.68 (assert (forall ((Eta2 tptp.option_trm)) (= (@ (@ tptp.uSubst918876924Timeso tptp.none_trm) Eta2) tptp.none_trm)))
% 0.26/0.68 (assert (forall ((Theta2 tptp.option_trm) (Eta2 tptp.option_trm)) (= (= (@ (@ tptp.uSubst141955042_Pluso Theta2) Eta2) tptp.none_trm) (or (= Theta2 tptp.none_trm) (= Eta2 tptp.none_trm)))))
% 0.26/0.68 (assert (forall ((Theta2 tptp.option_trm) (Eta2 tptp.option_trm)) (= (= (@ (@ tptp.uSubst918876924Timeso Theta2) Eta2) tptp.none_trm) (or (= Theta2 tptp.none_trm) (= Eta2 tptp.none_trm)))))
% 0.26/0.68 (assert (= tptp.bot_bot_char_o (lambda ((X tptp.char)) (@ (@ tptp.member_char X) tptp.bot_bot_set_char))))
% 0.26/0.68 (assert (= tptp.bot_bot_variable_o (lambda ((X tptp.variable)) (@ (@ tptp.member_variable X) tptp.bot_bot_set_variable))))
% 0.26/0.68 (assert (forall ((P (-> tptp.char Bool))) (= (= (@ tptp.collect_char P) tptp.bot_bot_set_char) (= P tptp.bot_bot_char_o))))
% 0.26/0.68 (assert (forall ((P (-> tptp.variable Bool))) (= (= (@ tptp.collect_variable P) tptp.bot_bot_set_variable) (= P tptp.bot_bot_variable_o))))
% 0.26/0.68 (assert (= tptp.produc1278328899on_fml tptp.produc1250175341on_fml))
% 0.26/0.68 (assert (= tptp.produc2141841102on_trm tptp.produc1231571704on_trm))
% 0.26/0.68 (assert (= tptp.produc377919108on_fml tptp.produc1615133358on_fml))
% 0.26/0.68 (assert (= tptp.produc1214549391on_trm tptp.produc1036610745on_trm))
% 0.26/0.68 (assert (= tptp.produc1598111045on_fml tptp.produc1420172399on_fml))
% 0.26/0.68 (assert (forall ((X4 tptp.option_trm) (Xa tptp.option_trm) (Y2 tptp.option_trm)) (let ((_let_1 (not (= Y2 tptp.none_trm)))) (=> (= (@ (@ tptp.uSubst141955042_Pluso X4) Xa) Y2) (=> (forall ((Theta tptp.trm)) (=> (= X4 (@ tptp.some_trm Theta)) (forall ((Eta tptp.trm)) (=> (= Xa (@ tptp.some_trm Eta)) (not (= Y2 (@ tptp.some_trm (@ (@ tptp.plus Theta) Eta)))))))) (=> (=> (= X4 tptp.none_trm) _let_1) (not (=> (exists ((V tptp.trm)) (= X4 (@ tptp.some_trm V))) (=> (= Xa tptp.none_trm) _let_1)))))))))
% 0.26/0.68 (assert (forall ((X4 tptp.option_trm) (Xa tptp.option_trm) (Y2 tptp.option_trm)) (let ((_let_1 (not (= Y2 tptp.none_trm)))) (=> (= (@ (@ tptp.uSubst918876924Timeso X4) Xa) Y2) (=> (forall ((Theta tptp.trm)) (=> (= X4 (@ tptp.some_trm Theta)) (forall ((Eta tptp.trm)) (=> (= Xa (@ tptp.some_trm Eta)) (not (= Y2 (@ tptp.some_trm (@ (@ tptp.times Theta) Eta)))))))) (=> (=> (= X4 tptp.none_trm) _let_1) (not (=> (exists ((V tptp.trm)) (= X4 (@ tptp.some_trm V))) (=> (= Xa tptp.none_trm) _let_1)))))))))
% 0.26/0.68 (assert (forall ((X51 tptp.trm) (X52 tptp.trm) (Y51 tptp.trm) (Y52 tptp.trm)) (= (= (@ (@ tptp.plus X51) X52) (@ (@ tptp.plus Y51) Y52)) (and (= X51 Y51) (= X52 Y52)))))
% 0.26/0.68 (assert (forall ((X61 tptp.trm) (X62 tptp.trm) (Y61 tptp.trm) (Y62 tptp.trm)) (= (= (@ (@ tptp.times X61) X62) (@ (@ tptp.times Y61) Y62)) (and (= X61 Y61) (= X62 Y62)))))
% 0.26/0.68 (assert (forall ((X51 tptp.trm) (X52 tptp.trm) (X61 tptp.trm) (X62 tptp.trm)) (not (= (@ (@ tptp.plus X51) X52) (@ (@ tptp.times X61) X62)))))
% 0.26/0.68 (assert (forall ((X3 tptp.char) (X51 tptp.trm) (X52 tptp.trm)) (not (= (@ tptp.const X3) (@ (@ tptp.plus X51) X52)))))
% 0.26/0.68 (assert (forall ((X3 tptp.char) (X61 tptp.trm) (X62 tptp.trm)) (not (= (@ tptp.const X3) (@ (@ tptp.times X61) X62)))))
% 0.26/0.68 (assert (forall ((X41 tptp.char) (X42 tptp.trm) (X51 tptp.trm) (X52 tptp.trm)) (not (= (@ (@ tptp.func X41) X42) (@ (@ tptp.plus X51) X52)))))
% 0.26/0.68 (assert (forall ((X41 tptp.char) (X42 tptp.trm) (X61 tptp.trm) (X62 tptp.trm)) (not (= (@ (@ tptp.func X41) X42) (@ (@ tptp.times X61) X62)))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (Theta2 tptp.trm) (Eta2 tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (=> (not (= (@ _let_1 (@ (@ tptp.times Theta2) Eta2)) tptp.none_trm)) (and (not (= (@ _let_1 Theta2) tptp.none_trm)) (not (= (@ _let_1 Eta2) tptp.none_trm)))))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (Theta2 tptp.trm) (Eta2 tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (=> (not (= (@ _let_1 (@ (@ tptp.plus Theta2) Eta2)) tptp.none_trm)) (and (not (= (@ _let_1 Theta2) tptp.none_trm)) (not (= (@ _let_1 Eta2) tptp.none_trm)))))))
% 0.26/0.68 (assert (forall ((Theta2 tptp.trm) (Eta2 tptp.trm)) (= (@ (@ tptp.uSubst918876924Timeso (@ tptp.some_trm Theta2)) (@ tptp.some_trm Eta2)) (@ tptp.some_trm (@ (@ tptp.times Theta2) Eta2)))))
% 0.26/0.68 (assert (forall ((Theta2 tptp.trm) (Eta2 tptp.trm)) (= (@ (@ tptp.uSubst141955042_Pluso (@ tptp.some_trm Theta2)) (@ tptp.some_trm Eta2)) (@ tptp.some_trm (@ (@ tptp.plus Theta2) Eta2)))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (Theta2 tptp.trm) (Eta2 tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (= (@ _let_1 (@ (@ tptp.times Theta2) Eta2)) (@ (@ tptp.uSubst918876924Timeso (@ _let_1 Theta2)) (@ _let_1 Eta2))))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (Theta2 tptp.trm) (Eta2 tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (= (@ _let_1 (@ (@ tptp.plus Theta2) Eta2)) (@ (@ tptp.uSubst141955042_Pluso (@ _let_1 Theta2)) (@ _let_1 Eta2))))))
% 0.26/0.68 (assert (forall ((X4 tptp.produc1418842292n_game) (Xa tptp.set_variable) (Xb tptp.trm) (Y2 tptp.option_trm)) (=> (= (@ (@ (@ tptp.uSubst516392818stappt X4) Xa) Xb) Y2) (=> (forall ((X2 tptp.variable)) (let ((_let_1 (@ tptp.var X2))) (=> (= Xb _let_1) (not (= Y2 (@ tptp.some_trm _let_1)))))) (=> (forall ((R3 tptp.real)) (let ((_let_1 (@ tptp.number R3))) (=> (= Xb _let_1) (not (= Y2 (@ tptp.some_trm _let_1)))))) (=> (forall ((F5 tptp.char)) (=> (= Xb (@ tptp.const F5)) (not (= Y2 (@ (@ (@ tptp.uSubst1559070963pconst X4) Xa) F5))))) (=> (forall ((F5 tptp.char) (Theta tptp.trm)) (=> (= Xb (@ (@ tptp.func F5) Theta)) (not (= Y2 (@ (@ (@ tptp.case_o487727941rm_trm tptp.none_trm) (lambda ((Sigma_theta2 tptp.trm)) (@ (@ (@ tptp.case_o487727941rm_trm (@ tptp.some_trm (@ (@ tptp.func F5) Sigma_theta2))) (lambda ((R tptp.trm)) (@ (@ (@ tptp.if_option_trm (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT R)) Xa) tptp.bot_bot_set_variable)) (@ (@ (@ tptp.uSubst516392818stappt (@ tptp.uSubst1408967625substt Sigma_theta2)) tptp.bot_bot_set_variable) R)) tptp.none_trm))) (@ (@ (@ tptp.produc866613687on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((F4 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F4 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) X4) F5)))) (@ (@ (@ tptp.uSubst516392818stappt X4) Xa) Theta)))))) (=> (forall ((Theta tptp.trm) (Eta tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt X4) Xa))) (=> (= Xb (@ (@ tptp.plus Theta) Eta)) (not (= Y2 (@ (@ tptp.uSubst141955042_Pluso (@ _let_1 Theta)) (@ _let_1 Eta))))))) (=> (forall ((Theta tptp.trm) (Eta tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt X4) Xa))) (=> (= Xb (@ (@ tptp.times Theta) Eta)) (not (= Y2 (@ (@ tptp.uSubst918876924Timeso (@ _let_1 Theta)) (@ _let_1 Eta))))))) (not (forall ((Theta tptp.trm)) (=> (= Xb (@ tptp.differential Theta)) (not (= Y2 (@ tptp.uSubst716837505ntialo (@ (@ (@ tptp.uSubst516392818stappt X4) (@ tptp.collect_variable (lambda ((X tptp.variable)) true))) Theta))))))))))))))))
% 0.26/0.68 (assert (forall ((P (-> tptp.produc1418842292n_game tptp.set_variable tptp.trm Bool)) (A0 tptp.produc1418842292n_game) (A1 tptp.set_variable) (A22 tptp.trm)) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (X2 tptp.variable)) (@ (@ (@ P Sigma3) U3) (@ tptp.var X2))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (R3 tptp.real)) (@ (@ (@ P Sigma3) U3) (@ tptp.number R3))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (F5 tptp.char)) (@ (@ (@ P Sigma3) U3) (@ tptp.const F5))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (F5 tptp.char) (Theta tptp.trm)) (let ((_let_1 (@ (@ P Sigma3) U3))) (=> (@ _let_1 Theta) (=> (forall ((X25 tptp.trm)) (=> (= (@ (@ (@ tptp.uSubst516392818stappt Sigma3) U3) Theta) (@ tptp.some_trm X25)) (forall ((X2a tptp.trm)) (=> (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((F4 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F4 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma3) F5) (@ tptp.some_trm X2a)) (=> (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT X2a)) U3) tptp.bot_bot_set_variable) (@ (@ (@ P (@ tptp.uSubst1408967625substt X25)) tptp.bot_bot_set_variable) X2a)))))) (@ _let_1 (@ (@ tptp.func F5) Theta)))))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (Theta tptp.trm)) (=> (@ (@ (@ P Sigma3) U3) Theta) (forall ((Eta tptp.trm)) (let ((_let_1 (@ (@ P Sigma3) U3))) (=> (@ _let_1 Eta) (@ _let_1 (@ (@ tptp.plus Theta) Eta))))))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (Theta tptp.trm)) (=> (@ (@ (@ P Sigma3) U3) Theta) (forall ((Eta tptp.trm)) (let ((_let_1 (@ (@ P Sigma3) U3))) (=> (@ _let_1 Eta) (@ _let_1 (@ (@ tptp.times Theta) Eta))))))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (Theta tptp.trm)) (let ((_let_1 (@ P Sigma3))) (=> (@ (@ _let_1 (@ tptp.collect_variable (lambda ((X tptp.variable)) true))) Theta) (@ (@ _let_1 U3) (@ tptp.differential Theta))))) (@ (@ (@ P A0) A1) A22))))))))))
% 0.26/0.68 (assert (forall ((V2 tptp.trm)) (= (@ (@ tptp.uSubst152838031e_Geqo (@ tptp.some_trm V2)) tptp.none_trm) tptp.none_fml)))
% 0.26/0.68 (assert (= tptp.combine_options_fml (lambda ((F2 (-> tptp.fml tptp.fml tptp.fml)) (X tptp.option_fml) (Y tptp.option_fml)) (@ (@ (@ tptp.case_o209804997ml_fml Y) (lambda ((Z3 tptp.fml)) (@ (@ (@ tptp.case_o209804997ml_fml (@ tptp.some_fml Z3)) (lambda ((Aa tptp.fml)) (@ tptp.some_fml (@ (@ F2 Z3) Aa)))) Y))) X))))
% 0.26/0.68 (assert (= tptp.combine_options_game (lambda ((F2 (-> tptp.game tptp.game tptp.game)) (X tptp.option_game) (Y tptp.option_game)) (@ (@ (@ tptp.case_o696458451e_game Y) (lambda ((Z3 tptp.game)) (@ (@ (@ tptp.case_o696458451e_game (@ tptp.some_game Z3)) (lambda ((Aa tptp.game)) (@ tptp.some_game (@ (@ F2 Z3) Aa)))) Y))) X))))
% 0.26/0.68 (assert (= tptp.combine_options_trm (lambda ((F2 (-> tptp.trm tptp.trm tptp.trm)) (X tptp.option_trm) (Y tptp.option_trm)) (@ (@ (@ tptp.case_o487727941rm_trm Y) (lambda ((Z3 tptp.trm)) (@ (@ (@ tptp.case_o487727941rm_trm (@ tptp.some_trm Z3)) (lambda ((Aa tptp.trm)) (@ tptp.some_trm (@ (@ F2 Z3) Aa)))) Y))) X))))
% 0.26/0.68 (assert (forall ((X22 tptp.real) (Y22 tptp.real)) (= (= (@ tptp.number X22) (@ tptp.number Y22)) (= X22 Y22))))
% 0.26/0.68 (assert (forall ((X12 tptp.variable) (Y1 tptp.variable)) (= (= (@ tptp.var X12) (@ tptp.var Y1)) (= X12 Y1))))
% 0.26/0.68 (assert (forall ((X7 tptp.trm) (Y7 tptp.trm)) (= (= (@ tptp.differential X7) (@ tptp.differential Y7)) (= X7 Y7))))
% 0.26/0.68 (assert (forall ((F3 (-> tptp.trm tptp.trm tptp.trm)) (X4 tptp.option_trm)) (= (@ (@ (@ tptp.combine_options_trm F3) X4) tptp.none_trm) X4)))
% 0.26/0.68 (assert (forall ((F3 (-> tptp.fml tptp.fml tptp.fml)) (X4 tptp.option_fml)) (= (@ (@ (@ tptp.combine_options_fml F3) X4) tptp.none_fml) X4)))
% 0.26/0.68 (assert (forall ((F3 (-> tptp.game tptp.game tptp.game)) (X4 tptp.option_game)) (= (@ (@ (@ tptp.combine_options_game F3) X4) tptp.none_game) X4)))
% 0.26/0.68 (assert (forall ((F3 (-> tptp.trm tptp.trm tptp.trm)) (Y2 tptp.option_trm)) (= (@ (@ (@ tptp.combine_options_trm F3) tptp.none_trm) Y2) Y2)))
% 0.26/0.68 (assert (forall ((F3 (-> tptp.fml tptp.fml tptp.fml)) (Y2 tptp.option_fml)) (= (@ (@ (@ tptp.combine_options_fml F3) tptp.none_fml) Y2) Y2)))
% 0.26/0.68 (assert (forall ((F3 (-> tptp.game tptp.game tptp.game)) (Y2 tptp.option_game)) (= (@ (@ (@ tptp.combine_options_game F3) tptp.none_game) Y2) Y2)))
% 0.26/0.68 (assert (forall ((F3 (-> tptp.trm tptp.trm tptp.trm)) (A tptp.trm) (B tptp.trm)) (= (@ (@ (@ tptp.combine_options_trm F3) (@ tptp.some_trm A)) (@ tptp.some_trm B)) (@ tptp.some_trm (@ (@ F3 A) B)))))
% 0.26/0.68 (assert (forall ((F3 (-> tptp.fml tptp.fml tptp.fml)) (A tptp.fml) (B tptp.fml)) (= (@ (@ (@ tptp.combine_options_fml F3) (@ tptp.some_fml A)) (@ tptp.some_fml B)) (@ tptp.some_fml (@ (@ F3 A) B)))))
% 0.26/0.68 (assert (forall ((F3 (-> tptp.game tptp.game tptp.game)) (A tptp.game) (B tptp.game)) (= (@ (@ (@ tptp.combine_options_game F3) (@ tptp.some_game A)) (@ tptp.some_game B)) (@ tptp.some_game (@ (@ F3 A) B)))))
% 0.26/0.68 (assert (forall ((Theta2 tptp.trm)) (= (@ tptp.uSubst716837505ntialo (@ tptp.some_trm Theta2)) (@ tptp.some_trm (@ tptp.differential Theta2)))))
% 0.26/0.68 (assert (forall ((X22 tptp.real) (X7 tptp.trm)) (not (= (@ tptp.number X22) (@ tptp.differential X7)))))
% 0.26/0.68 (assert (forall ((X12 tptp.variable) (X7 tptp.trm)) (not (= (@ tptp.var X12) (@ tptp.differential X7)))))
% 0.26/0.68 (assert (forall ((X12 tptp.variable) (X22 tptp.real)) (not (= (@ tptp.var X12) (@ tptp.number X22)))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (Theta2 tptp.trm)) (let ((_let_1 (@ tptp.uSubst516392818stappt Sigma2))) (= (@ (@ _let_1 U2) (@ tptp.differential Theta2)) (@ tptp.uSubst716837505ntialo (@ (@ _let_1 (@ tptp.collect_variable (lambda ((X tptp.variable)) true))) Theta2))))))
% 0.26/0.68 (assert (forall ((X22 tptp.real) (X3 tptp.char)) (not (= (@ tptp.number X22) (@ tptp.const X3)))))
% 0.26/0.68 (assert (forall ((X22 tptp.real) (X41 tptp.char) (X42 tptp.trm)) (not (= (@ tptp.number X22) (@ (@ tptp.func X41) X42)))))
% 0.26/0.68 (assert (forall ((X22 tptp.real) (X61 tptp.trm) (X62 tptp.trm)) (not (= (@ tptp.number X22) (@ (@ tptp.times X61) X62)))))
% 0.26/0.68 (assert (forall ((X22 tptp.real) (X51 tptp.trm) (X52 tptp.trm)) (not (= (@ tptp.number X22) (@ (@ tptp.plus X51) X52)))))
% 0.26/0.68 (assert (forall ((X4 tptp.option_trm) (Y2 tptp.option_trm)) (=> (= (@ tptp.uSubst716837505ntialo X4) Y2) (=> (forall ((Theta tptp.trm)) (=> (= X4 (@ tptp.some_trm Theta)) (not (= Y2 (@ tptp.some_trm (@ tptp.differential Theta)))))) (not (=> (= X4 tptp.none_trm) (not (= Y2 tptp.none_trm))))))))
% 0.26/0.68 (assert (forall ((X12 tptp.variable) (X3 tptp.char)) (not (= (@ tptp.var X12) (@ tptp.const X3)))))
% 0.26/0.68 (assert (forall ((X12 tptp.variable) (X41 tptp.char) (X42 tptp.trm)) (not (= (@ tptp.var X12) (@ (@ tptp.func X41) X42)))))
% 0.26/0.68 (assert (forall ((X12 tptp.variable) (X61 tptp.trm) (X62 tptp.trm)) (not (= (@ tptp.var X12) (@ (@ tptp.times X61) X62)))))
% 0.26/0.68 (assert (forall ((X12 tptp.variable) (X51 tptp.trm) (X52 tptp.trm)) (not (= (@ tptp.var X12) (@ (@ tptp.plus X51) X52)))))
% 0.26/0.68 (assert (forall ((X3 tptp.char) (X7 tptp.trm)) (not (= (@ tptp.const X3) (@ tptp.differential X7)))))
% 0.26/0.68 (assert (forall ((X41 tptp.char) (X42 tptp.trm) (X7 tptp.trm)) (not (= (@ (@ tptp.func X41) X42) (@ tptp.differential X7)))))
% 0.26/0.68 (assert (forall ((X61 tptp.trm) (X62 tptp.trm) (X7 tptp.trm)) (not (= (@ (@ tptp.times X61) X62) (@ tptp.differential X7)))))
% 0.26/0.68 (assert (forall ((X51 tptp.trm) (X52 tptp.trm) (X7 tptp.trm)) (not (= (@ (@ tptp.plus X51) X52) (@ tptp.differential X7)))))
% 0.26/0.68 (assert (forall ((Y2 tptp.trm)) (=> (forall ((X13 tptp.variable)) (not (= Y2 (@ tptp.var X13)))) (=> (forall ((X23 tptp.real)) (not (= Y2 (@ tptp.number X23)))) (=> (forall ((X32 tptp.char)) (not (= Y2 (@ tptp.const X32)))) (=> (forall ((X412 tptp.char) (X422 tptp.trm)) (not (= Y2 (@ (@ tptp.func X412) X422)))) (=> (forall ((X512 tptp.trm) (X522 tptp.trm)) (not (= Y2 (@ (@ tptp.plus X512) X522)))) (=> (forall ((X612 tptp.trm) (X622 tptp.trm)) (not (= Y2 (@ (@ tptp.times X612) X622)))) (not (forall ((X72 tptp.trm)) (not (= Y2 (@ tptp.differential X72)))))))))))))
% 0.26/0.68 (assert (forall ((P (-> tptp.trm Bool)) (Trm tptp.trm)) (=> (forall ((X2 tptp.variable)) (@ P (@ tptp.var X2))) (=> (forall ((X2 tptp.real)) (@ P (@ tptp.number X2))) (=> (forall ((X2 tptp.char)) (@ P (@ tptp.const X2))) (=> (forall ((X1a tptp.char) (X2a2 tptp.trm)) (=> (@ P X2a2) (@ P (@ (@ tptp.func X1a) X2a2)))) (=> (forall ((X1a tptp.trm) (X2a2 tptp.trm)) (=> (@ P X1a) (=> (@ P X2a2) (@ P (@ (@ tptp.plus X1a) X2a2))))) (=> (forall ((X1a tptp.trm) (X2a2 tptp.trm)) (=> (@ P X1a) (=> (@ P X2a2) (@ P (@ (@ tptp.times X1a) X2a2))))) (=> (forall ((X2 tptp.trm)) (=> (@ P X2) (@ P (@ tptp.differential X2)))) (@ P Trm))))))))))
% 0.26/0.68 (assert (forall ((Eta2 tptp.option_trm)) (= (@ (@ tptp.uSubst152838031e_Geqo tptp.none_trm) Eta2) tptp.none_fml)))
% 0.26/0.68 (assert (forall ((Theta2 tptp.option_trm) (Eta2 tptp.option_trm)) (= (= (@ (@ tptp.uSubst152838031e_Geqo Theta2) Eta2) tptp.none_fml) (or (= Theta2 tptp.none_trm) (= Eta2 tptp.none_trm)))))
% 0.26/0.68 (assert (= (@ tptp.uSubst716837505ntialo tptp.none_trm) tptp.none_trm))
% 0.26/0.68 (assert (forall ((Theta2 tptp.option_trm)) (= (= (@ tptp.uSubst716837505ntialo Theta2) tptp.none_trm) (= Theta2 tptp.none_trm))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (R2 tptp.real)) (let ((_let_1 (@ tptp.number R2))) (= (@ (@ (@ tptp.uSubst516392818stappt Sigma2) U2) _let_1) (@ tptp.some_trm _let_1)))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (X4 tptp.variable)) (let ((_let_1 (@ tptp.var X4))) (= (@ (@ (@ tptp.uSubst516392818stappt Sigma2) U2) _let_1) (@ tptp.some_trm _let_1)))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (Theta2 tptp.trm)) (let ((_let_1 (@ tptp.uSubst516392818stappt Sigma2))) (=> (not (= (@ (@ _let_1 U2) (@ tptp.differential Theta2)) tptp.none_trm)) (not (= (@ (@ _let_1 (@ tptp.collect_variable (lambda ((X tptp.variable)) true))) Theta2) tptp.none_trm))))))
% 0.26/0.68 (assert (forall ((X4 tptp.produc1418842292n_game) (Xa tptp.set_variable) (Xb tptp.trm) (Y2 tptp.option_trm)) (=> (= (@ (@ (@ tptp.uSubst516392818stappt X4) Xa) Xb) Y2) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm X4) (@ (@ tptp.produc1482344242le_trm Xa) Xb))) (=> (forall ((X2 tptp.variable)) (let ((_let_1 (@ tptp.var X2))) (=> (= Xb _let_1) (=> (= Y2 (@ tptp.some_trm _let_1)) (not (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm X4) (@ (@ tptp.produc1482344242le_trm Xa) _let_1)))))))) (=> (forall ((R3 tptp.real)) (let ((_let_1 (@ tptp.number R3))) (=> (= Xb _let_1) (=> (= Y2 (@ tptp.some_trm _let_1)) (not (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm X4) (@ (@ tptp.produc1482344242le_trm Xa) _let_1)))))))) (=> (forall ((F5 tptp.char)) (let ((_let_1 (@ tptp.const F5))) (=> (= Xb _let_1) (=> (= Y2 (@ (@ (@ tptp.uSubst1559070963pconst X4) Xa) F5)) (not (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm X4) (@ (@ tptp.produc1482344242le_trm Xa) _let_1)))))))) (=> (forall ((F5 tptp.char) (Theta tptp.trm)) (let ((_let_1 (@ (@ tptp.func F5) Theta))) (=> (= Xb _let_1) (=> (= Y2 (@ (@ (@ tptp.case_o487727941rm_trm tptp.none_trm) (lambda ((Sigma_theta2 tptp.trm)) (@ (@ (@ tptp.case_o487727941rm_trm (@ tptp.some_trm (@ (@ tptp.func F5) Sigma_theta2))) (lambda ((R tptp.trm)) (@ (@ (@ tptp.if_option_trm (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT R)) Xa) tptp.bot_bot_set_variable)) (@ (@ (@ tptp.uSubst516392818stappt (@ tptp.uSubst1408967625substt Sigma_theta2)) tptp.bot_bot_set_variable) R)) tptp.none_trm))) (@ (@ (@ tptp.produc866613687on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((F4 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F4 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) X4) F5)))) (@ (@ (@ tptp.uSubst516392818stappt X4) Xa) Theta))) (not (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm X4) (@ (@ tptp.produc1482344242le_trm Xa) _let_1)))))))) (=> (forall ((Theta tptp.trm) (Eta tptp.trm)) (let ((_let_1 (@ (@ tptp.plus Theta) Eta))) (let ((_let_2 (@ (@ tptp.uSubst516392818stappt X4) Xa))) (=> (= Xb _let_1) (=> (= Y2 (@ (@ tptp.uSubst141955042_Pluso (@ _let_2 Theta)) (@ _let_2 Eta))) (not (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm X4) (@ (@ tptp.produc1482344242le_trm Xa) _let_1))))))))) (=> (forall ((Theta tptp.trm) (Eta tptp.trm)) (let ((_let_1 (@ (@ tptp.times Theta) Eta))) (let ((_let_2 (@ (@ tptp.uSubst516392818stappt X4) Xa))) (=> (= Xb _let_1) (=> (= Y2 (@ (@ tptp.uSubst918876924Timeso (@ _let_2 Theta)) (@ _let_2 Eta))) (not (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm X4) (@ (@ tptp.produc1482344242le_trm Xa) _let_1))))))))) (not (forall ((Theta tptp.trm)) (let ((_let_1 (@ tptp.differential Theta))) (=> (= Xb _let_1) (=> (= Y2 (@ tptp.uSubst716837505ntialo (@ (@ (@ tptp.uSubst516392818stappt X4) (@ tptp.collect_variable (lambda ((X tptp.variable)) true))) Theta))) (not (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm X4) (@ (@ tptp.produc1482344242le_trm Xa) _let_1)))))))))))))))))))
% 0.26/0.68 (assert (forall ((X4 tptp.produc833882726rp_trm)) (=> (forall ((I tptp.denotational_interp) (X2 tptp.variable)) (not (= X4 (@ (@ tptp.produc1132922070rp_trm I) (@ tptp.var X2))))) (=> (forall ((I tptp.denotational_interp) (R3 tptp.real)) (not (= X4 (@ (@ tptp.produc1132922070rp_trm I) (@ tptp.number R3))))) (=> (forall ((I tptp.denotational_interp) (F5 tptp.char)) (not (= X4 (@ (@ tptp.produc1132922070rp_trm I) (@ tptp.const F5))))) (=> (forall ((I tptp.denotational_interp) (F5 tptp.char) (Theta tptp.trm)) (not (= X4 (@ (@ tptp.produc1132922070rp_trm I) (@ (@ tptp.func F5) Theta))))) (=> (forall ((I tptp.denotational_interp) (Theta tptp.trm) (Eta tptp.trm)) (not (= X4 (@ (@ tptp.produc1132922070rp_trm I) (@ (@ tptp.plus Theta) Eta))))) (=> (forall ((I tptp.denotational_interp) (Theta tptp.trm) (Eta tptp.trm)) (not (= X4 (@ (@ tptp.produc1132922070rp_trm I) (@ (@ tptp.times Theta) Eta))))) (not (forall ((I tptp.denotational_interp) (Theta tptp.trm)) (not (= X4 (@ (@ tptp.produc1132922070rp_trm I) (@ tptp.differential Theta))))))))))))))
% 0.26/0.68 (assert (forall ((P (-> tptp.denotational_interp tptp.trm Bool)) (A0 tptp.denotational_interp) (A1 tptp.trm)) (=> (forall ((I tptp.denotational_interp) (X2 tptp.variable)) (@ (@ P I) (@ tptp.var X2))) (=> (forall ((I tptp.denotational_interp) (R3 tptp.real)) (@ (@ P I) (@ tptp.number R3))) (=> (forall ((I tptp.denotational_interp) (F5 tptp.char)) (@ (@ P I) (@ tptp.const F5))) (=> (forall ((I tptp.denotational_interp) (F5 tptp.char) (Theta tptp.trm)) (let ((_let_1 (@ P I))) (=> (@ _let_1 Theta) (@ _let_1 (@ (@ tptp.func F5) Theta))))) (=> (forall ((I tptp.denotational_interp) (Theta tptp.trm)) (=> (@ (@ P I) Theta) (forall ((Eta tptp.trm)) (let ((_let_1 (@ P I))) (=> (@ _let_1 Eta) (@ _let_1 (@ (@ tptp.plus Theta) Eta))))))) (=> (forall ((I tptp.denotational_interp) (Theta tptp.trm)) (=> (@ (@ P I) Theta) (forall ((Eta tptp.trm)) (let ((_let_1 (@ P I))) (=> (@ _let_1 Eta) (@ _let_1 (@ (@ tptp.times Theta) Eta))))))) (=> (forall ((I tptp.denotational_interp) (Theta tptp.trm)) (let ((_let_1 (@ P I))) (=> (=> (exists ((Xa2 tptp.char)) (@ (@ tptp.member_char Xa2) (@ tptp.collect_char (lambda ((Uu tptp.char)) true)))) (@ _let_1 Theta)) (@ _let_1 (@ tptp.differential Theta))))) (@ (@ P A0) A1))))))))))
% 0.26/0.68 (assert (forall ((A tptp.char) (B tptp.option_trm) (A6 tptp.char) (B6 tptp.option_trm)) (= (= (@ (@ tptp.produc1500300866on_trm A) B) (@ (@ tptp.produc1500300866on_trm A6) B6)) (and (= A A6) (= B B6)))))
% 0.26/0.68 (assert (forall ((A tptp.set_variable) (B tptp.trm) (A6 tptp.set_variable) (B6 tptp.trm)) (= (= (@ (@ tptp.produc1482344242le_trm A) B) (@ (@ tptp.produc1482344242le_trm A6) B6)) (and (= A A6) (= B B6)))))
% 0.26/0.68 (assert (forall ((A (-> tptp.char tptp.option_trm)) (B tptp.produc62062515n_game) (A6 (-> tptp.char tptp.option_trm)) (B6 tptp.produc62062515n_game)) (= (= (@ (@ tptp.produc1618635950n_game A) B) (@ (@ tptp.produc1618635950n_game A6) B6)) (and (= A A6) (= B B6)))))
% 0.26/0.68 (assert (forall ((A (-> tptp.char tptp.option_trm)) (B tptp.produc799602994n_game) (A6 (-> tptp.char tptp.option_trm)) (B6 tptp.produc799602994n_game)) (= (= (@ (@ tptp.produc1048060077n_game A) B) (@ (@ tptp.produc1048060077n_game A6) B6)) (and (= A A6) (= B B6)))))
% 0.26/0.68 (assert (forall ((A (-> tptp.char tptp.option_fml)) (B (-> tptp.char tptp.option_game)) (A6 (-> tptp.char tptp.option_fml)) (B6 (-> tptp.char tptp.option_game))) (= (= (@ (@ tptp.produc123610156n_game A) B) (@ (@ tptp.produc123610156n_game A6) B6)) (and (= A A6) (= B B6)))))
% 0.26/0.68 (assert (forall ((X12 tptp.char) (X22 tptp.option_trm) (Y1 tptp.char) (Y22 tptp.option_trm)) (= (= (@ (@ tptp.produc1500300866on_trm X12) X22) (@ (@ tptp.produc1500300866on_trm Y1) Y22)) (and (= X12 Y1) (= X22 Y22)))))
% 0.26/0.68 (assert (forall ((X12 tptp.set_variable) (X22 tptp.trm) (Y1 tptp.set_variable) (Y22 tptp.trm)) (= (= (@ (@ tptp.produc1482344242le_trm X12) X22) (@ (@ tptp.produc1482344242le_trm Y1) Y22)) (and (= X12 Y1) (= X22 Y22)))))
% 0.26/0.68 (assert (forall ((X12 (-> tptp.char tptp.option_trm)) (X22 tptp.produc62062515n_game) (Y1 (-> tptp.char tptp.option_trm)) (Y22 tptp.produc62062515n_game)) (= (= (@ (@ tptp.produc1618635950n_game X12) X22) (@ (@ tptp.produc1618635950n_game Y1) Y22)) (and (= X12 Y1) (= X22 Y22)))))
% 0.26/0.68 (assert (forall ((X12 (-> tptp.char tptp.option_trm)) (X22 tptp.produc799602994n_game) (Y1 (-> tptp.char tptp.option_trm)) (Y22 tptp.produc799602994n_game)) (= (= (@ (@ tptp.produc1048060077n_game X12) X22) (@ (@ tptp.produc1048060077n_game Y1) Y22)) (and (= X12 Y1) (= X22 Y22)))))
% 0.26/0.68 (assert (forall ((X12 (-> tptp.char tptp.option_fml)) (X22 (-> tptp.char tptp.option_game)) (Y1 (-> tptp.char tptp.option_fml)) (Y22 (-> tptp.char tptp.option_game))) (= (= (@ (@ tptp.produc123610156n_game X12) X22) (@ (@ tptp.produc123610156n_game Y1) Y22)) (and (= X12 Y1) (= X22 Y22)))))
% 0.26/0.68 (assert (forall ((F3 (-> tptp.char tptp.option_trm Bool)) (A tptp.char) (B tptp.option_trm)) (=> (@ (@ F3 A) B) (@ (@ tptp.produc584666985_trm_o F3) (@ (@ tptp.produc1500300866on_trm A) B)))))
% 0.26/0.68 (assert (forall ((F3 (-> tptp.set_variable tptp.trm Bool)) (A tptp.set_variable) (B tptp.trm)) (=> (@ (@ F3 A) B) (@ (@ tptp.produc82209913_trm_o F3) (@ (@ tptp.produc1482344242le_trm A) B)))))
% 0.26/0.68 (assert (forall ((F3 (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game Bool)) (A (-> tptp.char tptp.option_trm)) (B tptp.produc62062515n_game)) (=> (@ (@ F3 A) B) (@ (@ tptp.produc1707653117game_o F3) (@ (@ tptp.produc1618635950n_game A) B)))))
% 0.26/0.68 (assert (forall ((F3 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game Bool)) (A (-> tptp.char tptp.option_trm)) (B tptp.produc799602994n_game)) (=> (@ (@ F3 A) B) (@ (@ tptp.produc1868740670game_o F3) (@ (@ tptp.produc1048060077n_game A) B)))))
% 0.26/0.68 (assert (forall ((F3 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) Bool)) (A (-> tptp.char tptp.option_fml)) (B (-> tptp.char tptp.option_game))) (=> (@ (@ F3 A) B) (@ (@ tptp.produc159680767game_o F3) (@ (@ tptp.produc123610156n_game A) B)))))
% 0.26/0.68 (assert (forall ((P4 tptp.produc464795408on_trm) (C (-> tptp.char tptp.option_trm Bool))) (=> (forall ((A4 tptp.char) (B4 tptp.option_trm)) (=> (= P4 (@ (@ tptp.produc1500300866on_trm A4) B4)) (@ (@ C A4) B4))) (@ (@ tptp.produc584666985_trm_o C) P4))))
% 0.26/0.68 (assert (forall ((P4 tptp.produc1367888000le_trm) (C (-> tptp.set_variable tptp.trm Bool))) (=> (forall ((A4 tptp.set_variable) (B4 tptp.trm)) (=> (= P4 (@ (@ tptp.produc1482344242le_trm A4) B4)) (@ (@ C A4) B4))) (@ (@ tptp.produc82209913_trm_o C) P4))))
% 0.26/0.68 (assert (forall ((P4 tptp.produc1418842292n_game) (C (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game Bool))) (=> (forall ((A4 (-> tptp.char tptp.option_trm)) (B4 tptp.produc62062515n_game)) (=> (= P4 (@ (@ tptp.produc1618635950n_game A4) B4)) (@ (@ C A4) B4))) (@ (@ tptp.produc1707653117game_o C) P4))))
% 0.26/0.68 (assert (forall ((P4 tptp.produc62062515n_game) (C (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game Bool))) (=> (forall ((A4 (-> tptp.char tptp.option_trm)) (B4 tptp.produc799602994n_game)) (=> (= P4 (@ (@ tptp.produc1048060077n_game A4) B4)) (@ (@ C A4) B4))) (@ (@ tptp.produc1868740670game_o C) P4))))
% 0.26/0.68 (assert (forall ((P4 tptp.produc799602994n_game) (C (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) Bool))) (=> (forall ((A4 (-> tptp.char tptp.option_fml)) (B4 (-> tptp.char tptp.option_game))) (=> (= P4 (@ (@ tptp.produc123610156n_game A4) B4)) (@ (@ C A4) B4))) (@ (@ tptp.produc159680767game_o C) P4))))
% 0.26/0.68 (assert (forall ((Z2 tptp.char) (C (-> tptp.char tptp.option_trm tptp.set_char)) (A tptp.char) (B tptp.option_trm)) (let ((_let_1 (@ tptp.member_char Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc33263478t_char C) (@ (@ tptp.produc1500300866on_trm A) B)))))))
% 0.26/0.68 (assert (forall ((Z2 tptp.char) (C (-> tptp.set_variable tptp.trm tptp.set_char)) (A tptp.set_variable) (B tptp.trm)) (let ((_let_1 (@ tptp.member_char Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc836445798t_char C) (@ (@ tptp.produc1482344242le_trm A) B)))))))
% 0.26/0.68 (assert (forall ((Z2 tptp.char) (C (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.set_char)) (A (-> tptp.char tptp.option_trm)) (B tptp.produc62062515n_game)) (let ((_let_1 (@ tptp.member_char Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc1002100706t_char C) (@ (@ tptp.produc1618635950n_game A) B)))))))
% 0.26/0.68 (assert (forall ((Z2 tptp.char) (C (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.set_char)) (A (-> tptp.char tptp.option_trm)) (B tptp.produc799602994n_game)) (let ((_let_1 (@ tptp.member_char Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc1554403041t_char C) (@ (@ tptp.produc1048060077n_game A) B)))))))
% 0.26/0.68 (assert (forall ((Z2 tptp.char) (C (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.set_char)) (A (-> tptp.char tptp.option_fml)) (B (-> tptp.char tptp.option_game))) (let ((_let_1 (@ tptp.member_char Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc629249376t_char C) (@ (@ tptp.produc123610156n_game A) B)))))))
% 0.26/0.68 (assert (forall ((P4 tptp.produc464795408on_trm) (Z2 tptp.char) (C (-> tptp.char tptp.option_trm tptp.set_char))) (=> (forall ((A4 tptp.char) (B4 tptp.option_trm)) (=> (= P4 (@ (@ tptp.produc1500300866on_trm A4) B4)) (@ (@ tptp.member_char Z2) (@ (@ C A4) B4)))) (@ (@ tptp.member_char Z2) (@ (@ tptp.produc33263478t_char C) P4)))))
% 0.26/0.68 (assert (forall ((P4 tptp.produc1367888000le_trm) (Z2 tptp.char) (C (-> tptp.set_variable tptp.trm tptp.set_char))) (=> (forall ((A4 tptp.set_variable) (B4 tptp.trm)) (=> (= P4 (@ (@ tptp.produc1482344242le_trm A4) B4)) (@ (@ tptp.member_char Z2) (@ (@ C A4) B4)))) (@ (@ tptp.member_char Z2) (@ (@ tptp.produc836445798t_char C) P4)))))
% 0.26/0.68 (assert (forall ((P4 tptp.produc1418842292n_game) (Z2 tptp.char) (C (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.set_char))) (=> (forall ((A4 (-> tptp.char tptp.option_trm)) (B4 tptp.produc62062515n_game)) (=> (= P4 (@ (@ tptp.produc1618635950n_game A4) B4)) (@ (@ tptp.member_char Z2) (@ (@ C A4) B4)))) (@ (@ tptp.member_char Z2) (@ (@ tptp.produc1002100706t_char C) P4)))))
% 0.26/0.68 (assert (forall ((P4 tptp.produc62062515n_game) (Z2 tptp.char) (C (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.set_char))) (=> (forall ((A4 (-> tptp.char tptp.option_trm)) (B4 tptp.produc799602994n_game)) (=> (= P4 (@ (@ tptp.produc1048060077n_game A4) B4)) (@ (@ tptp.member_char Z2) (@ (@ C A4) B4)))) (@ (@ tptp.member_char Z2) (@ (@ tptp.produc1554403041t_char C) P4)))))
% 0.26/0.68 (assert (forall ((P4 tptp.produc799602994n_game) (Z2 tptp.char) (C (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.set_char))) (=> (forall ((A4 (-> tptp.char tptp.option_fml)) (B4 (-> tptp.char tptp.option_game))) (=> (= P4 (@ (@ tptp.produc123610156n_game A4) B4)) (@ (@ tptp.member_char Z2) (@ (@ C A4) B4)))) (@ (@ tptp.member_char Z2) (@ (@ tptp.produc629249376t_char C) P4)))))
% 0.26/0.68 (assert (forall ((F3 (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.char tptp.option_fml)) (A (-> tptp.char tptp.option_trm)) (B tptp.produc62062515n_game)) (= (@ (@ tptp.produc1250175341on_fml F3) (@ (@ tptp.produc1618635950n_game A) B)) (@ (@ F3 A) B))))
% 0.26/0.68 (assert (forall ((F3 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm)) (A (-> tptp.char tptp.option_trm)) (B tptp.produc799602994n_game)) (= (@ (@ tptp.produc1231571704on_trm F3) (@ (@ tptp.produc1048060077n_game A) B)) (@ (@ F3 A) B))))
% 0.26/0.68 (assert (forall ((F3 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml)) (A (-> tptp.char tptp.option_trm)) (B tptp.produc799602994n_game)) (= (@ (@ tptp.produc1615133358on_fml F3) (@ (@ tptp.produc1048060077n_game A) B)) (@ (@ F3 A) B))))
% 0.26/0.68 (assert (forall ((F3 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm)) (A (-> tptp.char tptp.option_fml)) (B (-> tptp.char tptp.option_game))) (= (@ (@ tptp.produc1036610745on_trm F3) (@ (@ tptp.produc123610156n_game A) B)) (@ (@ F3 A) B))))
% 0.26/0.68 (assert (forall ((F3 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml)) (A (-> tptp.char tptp.option_fml)) (B (-> tptp.char tptp.option_game))) (= (@ (@ tptp.produc1420172399on_fml F3) (@ (@ tptp.produc123610156n_game A) B)) (@ (@ F3 A) B))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (Theta2 tptp.trm)) (let ((_let_1 (@ tptp.uSubst516392818stappt Sigma2))) (let ((_let_2 (@ tptp.differential Theta2))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma2) (@ (@ tptp.produc1482344242le_trm U2) _let_2))) (= (@ (@ _let_1 U2) _let_2) (@ tptp.uSubst716837505ntialo (@ (@ _let_1 (@ tptp.collect_variable (lambda ((X tptp.variable)) true))) Theta2))))))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (X4 tptp.variable)) (let ((_let_1 (@ tptp.var X4))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma2) (@ (@ tptp.produc1482344242le_trm U2) _let_1))) (= (@ (@ (@ tptp.uSubst516392818stappt Sigma2) U2) _let_1) (@ tptp.some_trm _let_1))))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (R2 tptp.real)) (let ((_let_1 (@ tptp.number R2))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma2) (@ (@ tptp.produc1482344242le_trm U2) _let_1))) (= (@ (@ (@ tptp.uSubst516392818stappt Sigma2) U2) _let_1) (@ tptp.some_trm _let_1))))))
% 0.26/0.68 (assert (forall ((F3 (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.char tptp.option_fml)) (G (-> tptp.produc1418842292n_game tptp.char tptp.option_fml))) (=> (forall ((X2 (-> tptp.char tptp.option_trm)) (Y4 tptp.produc62062515n_game)) (= (@ (@ F3 X2) Y4) (@ G (@ (@ tptp.produc1618635950n_game X2) Y4)))) (= (@ tptp.produc1250175341on_fml F3) G))))
% 0.26/0.68 (assert (forall ((F3 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm)) (G (-> tptp.produc62062515n_game tptp.char tptp.option_trm))) (=> (forall ((X2 (-> tptp.char tptp.option_trm)) (Y4 tptp.produc799602994n_game)) (= (@ (@ F3 X2) Y4) (@ G (@ (@ tptp.produc1048060077n_game X2) Y4)))) (= (@ tptp.produc1231571704on_trm F3) G))))
% 0.26/0.68 (assert (forall ((F3 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml)) (G (-> tptp.produc62062515n_game tptp.char tptp.option_fml))) (=> (forall ((X2 (-> tptp.char tptp.option_trm)) (Y4 tptp.produc799602994n_game)) (= (@ (@ F3 X2) Y4) (@ G (@ (@ tptp.produc1048060077n_game X2) Y4)))) (= (@ tptp.produc1615133358on_fml F3) G))))
% 0.26/0.68 (assert (forall ((F3 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm)) (G (-> tptp.produc799602994n_game tptp.char tptp.option_trm))) (=> (forall ((X2 (-> tptp.char tptp.option_fml)) (Y4 (-> tptp.char tptp.option_game))) (= (@ (@ F3 X2) Y4) (@ G (@ (@ tptp.produc123610156n_game X2) Y4)))) (= (@ tptp.produc1036610745on_trm F3) G))))
% 0.26/0.68 (assert (forall ((F3 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml)) (G (-> tptp.produc799602994n_game tptp.char tptp.option_fml))) (=> (forall ((X2 (-> tptp.char tptp.option_fml)) (Y4 (-> tptp.char tptp.option_game))) (= (@ (@ F3 X2) Y4) (@ G (@ (@ tptp.produc123610156n_game X2) Y4)))) (= (@ tptp.produc1420172399on_fml F3) G))))
% 0.26/0.68 (assert (forall ((F3 (-> tptp.produc1418842292n_game tptp.char tptp.option_fml))) (= (@ tptp.produc1250175341on_fml (lambda ((X (-> tptp.char tptp.option_trm)) (Y tptp.produc62062515n_game) (__flatten_var_0 tptp.char)) (@ (@ F3 (@ (@ tptp.produc1618635950n_game X) Y)) __flatten_var_0))) F3)))
% 0.26/0.68 (assert (forall ((F3 (-> tptp.produc62062515n_game tptp.char tptp.option_trm))) (= (@ tptp.produc1231571704on_trm (lambda ((X (-> tptp.char tptp.option_trm)) (Y tptp.produc799602994n_game) (__flatten_var_0 tptp.char)) (@ (@ F3 (@ (@ tptp.produc1048060077n_game X) Y)) __flatten_var_0))) F3)))
% 0.26/0.68 (assert (forall ((F3 (-> tptp.produc62062515n_game tptp.char tptp.option_fml))) (= (@ tptp.produc1615133358on_fml (lambda ((X (-> tptp.char tptp.option_trm)) (Y tptp.produc799602994n_game) (__flatten_var_0 tptp.char)) (@ (@ F3 (@ (@ tptp.produc1048060077n_game X) Y)) __flatten_var_0))) F3)))
% 0.26/0.68 (assert (forall ((F3 (-> tptp.produc799602994n_game tptp.char tptp.option_trm))) (= (@ tptp.produc1036610745on_trm (lambda ((X (-> tptp.char tptp.option_fml)) (Y (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ (@ F3 (@ (@ tptp.produc123610156n_game X) Y)) __flatten_var_0))) F3)))
% 0.26/0.68 (assert (forall ((F3 (-> tptp.produc799602994n_game tptp.char tptp.option_fml))) (= (@ tptp.produc1420172399on_fml (lambda ((X (-> tptp.char tptp.option_fml)) (Y (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ (@ F3 (@ (@ tptp.produc123610156n_game X) Y)) __flatten_var_0))) F3)))
% 0.26/0.68 (assert (forall ((Q (-> (-> tptp.char tptp.option_fml) Bool)) (P (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.char tptp.option_fml)) (Z2 tptp.produc1418842292n_game)) (=> (@ Q (@ (@ tptp.produc1250175341on_fml P) Z2)) (not (forall ((X2 (-> tptp.char tptp.option_trm)) (Y4 tptp.produc62062515n_game)) (=> (= Z2 (@ (@ tptp.produc1618635950n_game X2) Y4)) (not (@ Q (@ (@ P X2) Y4)))))))))
% 0.26/0.68 (assert (forall ((Q (-> (-> tptp.char tptp.option_trm) Bool)) (P (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm)) (Z2 tptp.produc62062515n_game)) (=> (@ Q (@ (@ tptp.produc1231571704on_trm P) Z2)) (not (forall ((X2 (-> tptp.char tptp.option_trm)) (Y4 tptp.produc799602994n_game)) (=> (= Z2 (@ (@ tptp.produc1048060077n_game X2) Y4)) (not (@ Q (@ (@ P X2) Y4)))))))))
% 0.26/0.68 (assert (forall ((Q (-> (-> tptp.char tptp.option_fml) Bool)) (P (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml)) (Z2 tptp.produc62062515n_game)) (=> (@ Q (@ (@ tptp.produc1615133358on_fml P) Z2)) (not (forall ((X2 (-> tptp.char tptp.option_trm)) (Y4 tptp.produc799602994n_game)) (=> (= Z2 (@ (@ tptp.produc1048060077n_game X2) Y4)) (not (@ Q (@ (@ P X2) Y4)))))))))
% 0.26/0.68 (assert (forall ((Q (-> (-> tptp.char tptp.option_trm) Bool)) (P (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm)) (Z2 tptp.produc799602994n_game)) (=> (@ Q (@ (@ tptp.produc1036610745on_trm P) Z2)) (not (forall ((X2 (-> tptp.char tptp.option_fml)) (Y4 (-> tptp.char tptp.option_game))) (=> (= Z2 (@ (@ tptp.produc123610156n_game X2) Y4)) (not (@ Q (@ (@ P X2) Y4)))))))))
% 0.26/0.68 (assert (forall ((Q (-> (-> tptp.char tptp.option_fml) Bool)) (P (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml)) (Z2 tptp.produc799602994n_game)) (=> (@ Q (@ (@ tptp.produc1420172399on_fml P) Z2)) (not (forall ((X2 (-> tptp.char tptp.option_fml)) (Y4 (-> tptp.char tptp.option_game))) (=> (= Z2 (@ (@ tptp.produc123610156n_game X2) Y4)) (not (@ Q (@ (@ P X2) Y4)))))))))
% 0.26/0.68 (assert (forall ((R4 tptp.set_Pr943832262on_trm) (S tptp.set_Pr943832262on_trm)) (= (@ (@ tptp.inf_in605351507_trm_o (lambda ((X tptp.char) (Y tptp.option_trm)) (@ (@ tptp.member694524327on_trm (@ (@ tptp.produc1500300866on_trm X) Y)) R4))) (lambda ((X tptp.char) (Y tptp.option_trm)) (@ (@ tptp.member694524327on_trm (@ (@ tptp.produc1500300866on_trm X) Y)) S))) (lambda ((X tptp.char) (Y tptp.option_trm)) (@ (@ tptp.member694524327on_trm (@ (@ tptp.produc1500300866on_trm X) Y)) (@ (@ tptp.inf_in1243659096on_trm R4) S))))))
% 0.26/0.68 (assert (forall ((R4 tptp.set_Pr1235432374le_trm) (S tptp.set_Pr1235432374le_trm)) (= (@ (@ tptp.inf_in185389155_trm_o (lambda ((X tptp.set_variable) (Y tptp.trm)) (@ (@ tptp.member2122665623le_trm (@ (@ tptp.produc1482344242le_trm X) Y)) R4))) (lambda ((X tptp.set_variable) (Y tptp.trm)) (@ (@ tptp.member2122665623le_trm (@ (@ tptp.produc1482344242le_trm X) Y)) S))) (lambda ((X tptp.set_variable) (Y tptp.trm)) (@ (@ tptp.member2122665623le_trm (@ (@ tptp.produc1482344242le_trm X) Y)) (@ (@ tptp.inf_in906025800le_trm R4) S))))))
% 0.26/0.68 (assert (forall ((R4 tptp.set_Pr720454634n_game) (S tptp.set_Pr720454634n_game)) (= (@ (@ tptp.inf_in1920662529game_o (lambda ((X (-> tptp.char tptp.option_trm)) (Y tptp.produc62062515n_game)) (@ (@ tptp.member1940201675n_game (@ (@ tptp.produc1618635950n_game X) Y)) R4))) (lambda ((X (-> tptp.char tptp.option_trm)) (Y tptp.produc62062515n_game)) (@ (@ tptp.member1940201675n_game (@ (@ tptp.produc1618635950n_game X) Y)) S))) (lambda ((X (-> tptp.char tptp.option_trm)) (Y tptp.produc62062515n_game)) (@ (@ tptp.member1940201675n_game (@ (@ tptp.produc1618635950n_game X) Y)) (@ (@ tptp.inf_in360367996n_game R4) S))))))
% 0.26/0.68 (assert (forall ((R4 tptp.set_Pr739694057n_game) (S tptp.set_Pr739694057n_game)) (= (@ (@ tptp.inf_in1072207554game_o (lambda ((X (-> tptp.char tptp.option_trm)) (Y tptp.produc799602994n_game)) (@ (@ tptp.member774167626n_game (@ (@ tptp.produc1048060077n_game X) Y)) R4))) (lambda ((X (-> tptp.char tptp.option_trm)) (Y tptp.produc799602994n_game)) (@ (@ tptp.member774167626n_game (@ (@ tptp.produc1048060077n_game X) Y)) S))) (lambda ((X (-> tptp.char tptp.option_trm)) (Y tptp.produc799602994n_game)) (@ (@ tptp.member774167626n_game (@ (@ tptp.produc1048060077n_game X) Y)) (@ (@ tptp.inf_in69689467n_game R4) S))))))
% 0.26/0.68 (assert (forall ((R4 tptp.set_Pr79606376n_game) (S tptp.set_Pr79606376n_game)) (= (@ (@ tptp.inf_in243546115game_o (lambda ((X (-> tptp.char tptp.option_fml)) (Y (-> tptp.char tptp.option_game))) (@ (@ tptp.member849814089n_game (@ (@ tptp.produc123610156n_game X) Y)) R4))) (lambda ((X (-> tptp.char tptp.option_fml)) (Y (-> tptp.char tptp.option_game))) (@ (@ tptp.member849814089n_game (@ (@ tptp.produc123610156n_game X) Y)) S))) (lambda ((X (-> tptp.char tptp.option_fml)) (Y (-> tptp.char tptp.option_game))) (@ (@ tptp.member849814089n_game (@ (@ tptp.produc123610156n_game X) Y)) (@ (@ tptp.inf_in1391117306n_game R4) S))))))
% 0.26/0.68 (assert (= tptp.bot_bo1417568964game_o (lambda ((X (-> tptp.char tptp.option_trm)) (Y tptp.produc799602994n_game)) (@ (@ tptp.member774167626n_game (@ (@ tptp.produc1048060077n_game X) Y)) tptp.bot_bo1302831229n_game))))
% 0.26/0.68 (assert (= tptp.bot_bo1895715589game_o (lambda ((X (-> tptp.char tptp.option_fml)) (Y (-> tptp.char tptp.option_game))) (@ (@ tptp.member849814089n_game (@ (@ tptp.produc123610156n_game X) Y)) tptp.bot_bo456479484n_game))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (F3 tptp.char)) (let ((_let_1 (@ tptp.const F3))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma2) (@ (@ tptp.produc1482344242le_trm U2) _let_1))) (= (@ (@ (@ tptp.uSubst516392818stappt Sigma2) U2) _let_1) (@ (@ (@ tptp.uSubst1559070963pconst Sigma2) U2) F3))))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (Theta2 tptp.trm) (Eta2 tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (let ((_let_2 (@ (@ tptp.times Theta2) Eta2))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma2) (@ (@ tptp.produc1482344242le_trm U2) _let_2))) (= (@ _let_1 _let_2) (@ (@ tptp.uSubst918876924Timeso (@ _let_1 Theta2)) (@ _let_1 Eta2))))))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (Theta2 tptp.trm) (Eta2 tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (let ((_let_2 (@ (@ tptp.plus Theta2) Eta2))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma2) (@ (@ tptp.produc1482344242le_trm U2) _let_2))) (= (@ _let_1 _let_2) (@ (@ tptp.uSubst141955042_Pluso (@ _let_1 Theta2)) (@ _let_1 Eta2))))))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (F3 tptp.char) (Theta2 tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (let ((_let_2 (@ (@ tptp.func F3) Theta2))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma2) (@ (@ tptp.produc1482344242le_trm U2) _let_2))) (= (@ _let_1 _let_2) (@ (@ (@ tptp.case_o487727941rm_trm tptp.none_trm) (lambda ((Sigma_theta2 tptp.trm)) (@ (@ (@ tptp.case_o487727941rm_trm (@ tptp.some_trm (@ (@ tptp.func F3) Sigma_theta2))) (lambda ((R tptp.trm)) (@ (@ (@ tptp.if_option_trm (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT R)) U2) tptp.bot_bot_set_variable)) (@ (@ (@ tptp.uSubst516392818stappt (@ tptp.uSubst1408967625substt Sigma_theta2)) tptp.bot_bot_set_variable) R)) tptp.none_trm))) (@ (@ (@ tptp.produc866613687on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((F4 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F4 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) F3)))) (@ _let_1 Theta2))))))))
% 0.26/0.68 (assert (forall ((X4 tptp.produc1699626005le_trm)) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (X2 tptp.variable)) (not (= X4 (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) (@ tptp.var X2)))))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (R3 tptp.real)) (not (= X4 (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) (@ tptp.number R3)))))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (F5 tptp.char)) (not (= X4 (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) (@ tptp.const F5)))))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (F5 tptp.char) (Theta tptp.trm)) (not (= X4 (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) (@ (@ tptp.func F5) Theta)))))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (Theta tptp.trm) (Eta tptp.trm)) (not (= X4 (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) (@ (@ tptp.plus Theta) Eta)))))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (Theta tptp.trm) (Eta tptp.trm)) (not (= X4 (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) (@ (@ tptp.times Theta) Eta)))))) (not (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (Theta tptp.trm)) (not (= X4 (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) (@ tptp.differential Theta)))))))))))))))
% 0.26/0.68 (assert (forall ((A0 tptp.produc1418842292n_game) (A1 tptp.set_variable) (A22 tptp.trm) (P (-> tptp.produc1418842292n_game tptp.set_variable tptp.trm Bool))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm A0) (@ (@ tptp.produc1482344242le_trm A1) A22))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (X2 tptp.variable)) (let ((_let_1 (@ tptp.var X2))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) _let_1))) (@ (@ (@ P Sigma3) U3) _let_1)))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (R3 tptp.real)) (let ((_let_1 (@ tptp.number R3))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) _let_1))) (@ (@ (@ P Sigma3) U3) _let_1)))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (F5 tptp.char)) (let ((_let_1 (@ tptp.const F5))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) _let_1))) (@ (@ (@ P Sigma3) U3) _let_1)))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (F5 tptp.char) (Theta tptp.trm)) (let ((_let_1 (@ (@ tptp.func F5) Theta))) (let ((_let_2 (@ (@ P Sigma3) U3))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) _let_1))) (=> (@ _let_2 Theta) (=> (forall ((X25 tptp.trm)) (=> (= (@ (@ (@ tptp.uSubst516392818stappt Sigma3) U3) Theta) (@ tptp.some_trm X25)) (forall ((X2a tptp.trm)) (=> (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((F4 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F4 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma3) F5) (@ tptp.some_trm X2a)) (=> (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT X2a)) U3) tptp.bot_bot_set_variable) (@ (@ (@ P (@ tptp.uSubst1408967625substt X25)) tptp.bot_bot_set_variable) X2a)))))) (@ _let_2 _let_1))))))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (Theta tptp.trm) (Eta tptp.trm)) (let ((_let_1 (@ (@ tptp.plus Theta) Eta))) (let ((_let_2 (@ (@ P Sigma3) U3))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) _let_1))) (=> (@ _let_2 Theta) (=> (@ _let_2 Eta) (@ _let_2 _let_1))))))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (Theta tptp.trm) (Eta tptp.trm)) (let ((_let_1 (@ (@ tptp.times Theta) Eta))) (let ((_let_2 (@ (@ P Sigma3) U3))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) _let_1))) (=> (@ _let_2 Theta) (=> (@ _let_2 Eta) (@ _let_2 _let_1))))))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (Theta tptp.trm)) (let ((_let_1 (@ tptp.differential Theta))) (let ((_let_2 (@ P Sigma3))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) _let_1))) (=> (@ (@ _let_2 (@ tptp.collect_variable (lambda ((X tptp.variable)) true))) Theta) (@ (@ _let_2 U3) _let_1)))))) (@ (@ (@ P A0) A1) A22)))))))))))
% 0.26/0.68 (assert (forall ((X4 tptp.option_trm) (Xa tptp.option_trm) (Y2 tptp.option_fml)) (let ((_let_1 (not (= Y2 tptp.none_fml)))) (=> (= (@ (@ tptp.uSubst152838031e_Geqo X4) Xa) Y2) (=> (forall ((Theta tptp.trm)) (=> (= X4 (@ tptp.some_trm Theta)) (forall ((Eta tptp.trm)) (=> (= Xa (@ tptp.some_trm Eta)) (not (= Y2 (@ tptp.some_fml (@ (@ tptp.geq Theta) Eta)))))))) (=> (=> (= X4 tptp.none_trm) _let_1) (not (=> (exists ((V tptp.trm)) (= X4 (@ tptp.some_trm V))) (=> (= Xa tptp.none_trm) _let_1)))))))))
% 0.26/0.68 (assert (forall ((X21 tptp.trm) (X222 tptp.trm) (Y21 tptp.trm) (Y222 tptp.trm)) (= (= (@ (@ tptp.geq X21) X222) (@ (@ tptp.geq Y21) Y222)) (and (= X21 Y21) (= X222 Y222)))))
% 0.26/0.68 (assert (forall ((X4 tptp.produc1739631244on_fml)) (=> (forall ((Alpha tptp.game) (Phi tptp.fml)) (not (= X4 (@ (@ tptp.produc2124676926on_fml (@ tptp.some_game Alpha)) (@ tptp.some_fml Phi))))) (=> (forall ((Phi tptp.option_fml)) (not (= X4 (@ (@ tptp.produc2124676926on_fml tptp.none_game) Phi)))) (not (forall ((V tptp.game)) (not (= X4 (@ (@ tptp.produc2124676926on_fml (@ tptp.some_game V)) tptp.none_fml)))))))))
% 0.26/0.68 (assert (forall ((X4 tptp.produc1408538418on_fml)) (=> (forall ((X2 tptp.variable) (Phi tptp.fml)) (not (= X4 (@ (@ tptp.produc1205977188on_fml X2) (@ tptp.some_fml Phi))))) (not (forall ((X2 tptp.variable)) (not (= X4 (@ (@ tptp.produc1205977188on_fml X2) tptp.none_fml))))))))
% 0.26/0.68 (assert (forall ((X4 tptp.produc46605351on_fml)) (=> (forall ((Phi tptp.fml) (Psi tptp.fml)) (not (= X4 (@ (@ tptp.produc909629463on_fml (@ tptp.some_fml Phi)) (@ tptp.some_fml Psi))))) (=> (forall ((Psi tptp.option_fml)) (not (= X4 (@ (@ tptp.produc909629463on_fml tptp.none_fml) Psi)))) (not (forall ((V tptp.fml)) (not (= X4 (@ (@ tptp.produc909629463on_fml (@ tptp.some_fml V)) tptp.none_fml)))))))))
% 0.26/0.68 (assert (forall ((X4 tptp.produc464795408on_trm)) (=> (forall ((X2 tptp.char) (Theta tptp.trm)) (not (= X4 (@ (@ tptp.produc1500300866on_trm X2) (@ tptp.some_trm Theta))))) (not (forall ((X2 tptp.char)) (not (= X4 (@ (@ tptp.produc1500300866on_trm X2) tptp.none_trm))))))))
% 0.26/0.68 (assert (forall ((X4 tptp.produc1024976764on_trm)) (=> (forall ((X2 tptp.variable) (Theta tptp.trm)) (not (= X4 (@ (@ tptp.produc1743721902on_trm X2) (@ tptp.some_trm Theta))))) (not (forall ((X2 tptp.variable)) (not (= X4 (@ (@ tptp.produc1743721902on_trm X2) tptp.none_trm))))))))
% 0.26/0.68 (assert (forall ((X4 tptp.produc1072747943on_trm)) (=> (forall ((Theta tptp.trm) (Eta tptp.trm)) (not (= X4 (@ (@ tptp.produc709594775on_trm (@ tptp.some_trm Theta)) (@ tptp.some_trm Eta))))) (=> (forall ((Eta tptp.option_trm)) (not (= X4 (@ (@ tptp.produc709594775on_trm tptp.none_trm) Eta)))) (not (forall ((V tptp.trm)) (not (= X4 (@ (@ tptp.produc709594775on_trm (@ tptp.some_trm V)) tptp.none_trm)))))))))
% 0.26/0.68 (assert (forall ((Theta2 tptp.trm) (Eta2 tptp.trm)) (= (@ (@ tptp.uSubst152838031e_Geqo (@ tptp.some_trm Theta2)) (@ tptp.some_trm Eta2)) (@ tptp.some_fml (@ (@ tptp.geq Theta2) Eta2)))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (Theta2 tptp.trm) (Eta2 tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (let ((_let_2 (@ (@ (@ tptp.uSubst516392804stappf Sigma2) U2) (@ (@ tptp.geq Theta2) Eta2)))) (=> (not (= _let_2 tptp.none_fml)) (= _let_2 (@ tptp.some_fml (@ (@ tptp.geq (@ tptp.the_trm (@ _let_1 Theta2))) (@ tptp.the_trm (@ _let_1 Eta2))))))))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (Theta2 tptp.trm) (Eta2 tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (let ((_let_2 (@ _let_1 Eta2))) (let ((_let_3 (@ _let_1 Theta2))) (=> (not (= _let_3 tptp.none_trm)) (=> (not (= _let_2 tptp.none_trm)) (= (@ (@ (@ tptp.uSubst516392804stappf Sigma2) U2) (@ (@ tptp.geq Theta2) Eta2)) (@ tptp.some_fml (@ (@ tptp.geq (@ tptp.the_trm _let_3)) (@ tptp.the_trm _let_2)))))))))))
% 0.26/0.68 (assert (forall ((X4 tptp.produc1016592119n_game)) (=> (forall ((Alpha tptp.game) (Beta tptp.game)) (not (= X4 (@ (@ tptp.produc1111617711n_game (@ tptp.some_game Alpha)) (@ tptp.some_game Beta))))) (=> (forall ((Alpha tptp.option_game)) (not (= X4 (@ (@ tptp.produc1111617711n_game Alpha) tptp.none_game)))) (not (forall ((V tptp.game)) (not (= X4 (@ (@ tptp.produc1111617711n_game tptp.none_game) (@ tptp.some_game V))))))))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (Theta2 tptp.trm) (Eta2 tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (= (@ (@ (@ tptp.uSubst516392804stappf Sigma2) U2) (@ (@ tptp.geq Theta2) Eta2)) (@ (@ tptp.uSubst152838031e_Geqo (@ _let_1 Theta2)) (@ _let_1 Eta2))))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (Theta2 tptp.trm) (Eta2 tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (=> (not (= (@ (@ (@ tptp.uSubst516392804stappf Sigma2) U2) (@ (@ tptp.geq Theta2) Eta2)) tptp.none_fml)) (and (not (= (@ _let_1 Theta2) tptp.none_trm)) (not (= (@ _let_1 Eta2) tptp.none_trm)))))))
% 0.26/0.68 (assert (= tptp.uSubst1408967625substt (lambda ((Theta3 tptp.trm)) (@ (@ tptp.produc1618635950n_game (lambda ((F2 tptp.char)) (@ (@ (@ tptp.if_option_trm (= F2 (@ (@ (@ (@ (@ (@ (@ (@ tptp.char2 false) true) true) true) false) true) false) false))) (@ tptp.some_trm Theta3)) tptp.none_trm))) (@ (@ tptp.produc1048060077n_game (lambda ((Uu tptp.char)) tptp.none_trm)) (@ (@ tptp.produc123610156n_game (lambda ((Uu tptp.char)) tptp.none_fml)) (lambda ((Uu tptp.char)) tptp.none_game)))))))
% 0.26/0.68 (assert (forall ((X4 tptp.option_trm) (Xa tptp.option_trm) (Y2 tptp.option_fml)) (let ((_let_1 (@ tptp.accp_P758790320on_trm tptp.uSubst1304144938qo_rel))) (=> (= (@ (@ tptp.uSubst152838031e_Geqo X4) Xa) Y2) (=> (@ _let_1 (@ (@ tptp.produc709594775on_trm X4) Xa)) (=> (forall ((Theta tptp.trm)) (=> (= X4 (@ tptp.some_trm Theta)) (forall ((Eta tptp.trm)) (let ((_let_1 (@ tptp.some_trm Eta))) (=> (= Xa _let_1) (=> (= Y2 (@ tptp.some_fml (@ (@ tptp.geq Theta) Eta))) (not (@ (@ tptp.accp_P758790320on_trm tptp.uSubst1304144938qo_rel) (@ (@ tptp.produc709594775on_trm (@ tptp.some_trm Theta)) _let_1))))))))) (=> (=> (= X4 tptp.none_trm) (=> (= Y2 tptp.none_fml) (not (@ _let_1 (@ (@ tptp.produc709594775on_trm tptp.none_trm) Xa))))) (not (forall ((V tptp.trm)) (let ((_let_1 (@ tptp.some_trm V))) (=> (= X4 _let_1) (=> (= Xa tptp.none_trm) (=> (= Y2 tptp.none_fml) (not (@ (@ tptp.accp_P758790320on_trm tptp.uSubst1304144938qo_rel) (@ (@ tptp.produc709594775on_trm _let_1) tptp.none_trm))))))))))))))))
% 0.26/0.68 (assert (forall ((X4 tptp.option_trm) (Xa tptp.option_trm) (Y2 tptp.option_trm)) (let ((_let_1 (@ tptp.accp_P758790320on_trm tptp.uSubst924844285so_rel))) (=> (= (@ (@ tptp.uSubst918876924Timeso X4) Xa) Y2) (=> (@ _let_1 (@ (@ tptp.produc709594775on_trm X4) Xa)) (=> (forall ((Theta tptp.trm)) (=> (= X4 (@ tptp.some_trm Theta)) (forall ((Eta tptp.trm)) (let ((_let_1 (@ tptp.some_trm Eta))) (=> (= Xa _let_1) (=> (= Y2 (@ tptp.some_trm (@ (@ tptp.times Theta) Eta))) (not (@ (@ tptp.accp_P758790320on_trm tptp.uSubst924844285so_rel) (@ (@ tptp.produc709594775on_trm (@ tptp.some_trm Theta)) _let_1))))))))) (=> (=> (= X4 tptp.none_trm) (=> (= Y2 tptp.none_trm) (not (@ _let_1 (@ (@ tptp.produc709594775on_trm tptp.none_trm) Xa))))) (not (forall ((V tptp.trm)) (let ((_let_1 (@ tptp.some_trm V))) (=> (= X4 _let_1) (=> (= Xa tptp.none_trm) (=> (= Y2 tptp.none_trm) (not (@ (@ tptp.accp_P758790320on_trm tptp.uSubst924844285so_rel) (@ (@ tptp.produc709594775on_trm _let_1) tptp.none_trm))))))))))))))))
% 0.26/0.68 (assert (forall ((X4 tptp.option_trm) (Xa tptp.option_trm) (Y2 tptp.option_trm)) (let ((_let_1 (@ tptp.accp_P758790320on_trm tptp.uSubst691094423so_rel))) (=> (= (@ (@ tptp.uSubst141955042_Pluso X4) Xa) Y2) (=> (@ _let_1 (@ (@ tptp.produc709594775on_trm X4) Xa)) (=> (forall ((Theta tptp.trm)) (=> (= X4 (@ tptp.some_trm Theta)) (forall ((Eta tptp.trm)) (let ((_let_1 (@ tptp.some_trm Eta))) (=> (= Xa _let_1) (=> (= Y2 (@ tptp.some_trm (@ (@ tptp.plus Theta) Eta))) (not (@ (@ tptp.accp_P758790320on_trm tptp.uSubst691094423so_rel) (@ (@ tptp.produc709594775on_trm (@ tptp.some_trm Theta)) _let_1))))))))) (=> (=> (= X4 tptp.none_trm) (=> (= Y2 tptp.none_trm) (not (@ _let_1 (@ (@ tptp.produc709594775on_trm tptp.none_trm) Xa))))) (not (forall ((V tptp.trm)) (let ((_let_1 (@ tptp.some_trm V))) (=> (= X4 _let_1) (=> (= Xa tptp.none_trm) (=> (= Y2 tptp.none_trm) (not (@ (@ tptp.accp_P758790320on_trm tptp.uSubst691094423so_rel) (@ (@ tptp.produc709594775on_trm _let_1) tptp.none_trm))))))))))))))))
% 0.26/0.68 (assert (= tptp.uSubst_Mirabelle_dot (@ tptp.const (@ (@ (@ (@ (@ (@ (@ (@ tptp.char2 false) true) true) true) false) true) false) false))))
% 0.26/0.68 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (P4 tptp.char) (R2 tptp.fml) (U2 tptp.set_variable) (Theta2 tptp.trm) (Sigma_theta tptp.trm)) (=> (= (@ (@ (@ tptp.produc1250175341on_fml (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1615133358on_fml (lambda ((Uv (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1420172399on_fml (lambda ((P3 (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ P3 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) P4) (@ tptp.some_fml R2)) (=> (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVF R2)) U2) tptp.bot_bot_set_variable) (=> (= (@ (@ (@ tptp.uSubst516392818stappt Sigma2) U2) Theta2) (@ tptp.some_trm Sigma_theta)) (= (@ (@ (@ tptp.uSubst516392804stappf Sigma2) U2) (@ (@ tptp.pred P4) Theta2)) (@ (@ (@ tptp.uSubst516392804stappf (@ tptp.uSubst1408967625substt Sigma_theta)) tptp.bot_bot_set_variable) R2)))))))
% 3.14/3.39 (assert (forall ((X11 tptp.char) (X122 tptp.trm) (Y11 tptp.char) (Y12 tptp.trm)) (= (= (@ (@ tptp.pred X11) X122) (@ (@ tptp.pred Y11) Y12)) (and (= X11 Y11) (= X122 Y12)))))
% 3.14/3.39 (assert (forall ((Sigma2 tptp.produc1418842292n_game) (P4 tptp.char) (R2 tptp.fml) (U2 tptp.set_variable) (Theta2 tptp.trm)) (=> (= (@ (@ (@ tptp.produc1250175341on_fml (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1615133358on_fml (lambda ((Uv (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1420172399on_fml (lambda ((P3 (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ P3 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) P4) (@ tptp.some_fml R2)) (=> (not (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVF R2)) U2) tptp.bot_bot_set_variable)) (= (@ (@ (@ tptp.uSubst516392804stappf Sigma2) U2) (@ (@ tptp.pred P4) Theta2)) tptp.none_fml)))))
% 3.14/3.39 (assert (forall ((P Bool)) (or (= P true) (= P false))))
% 3.14/3.39 (assert (forall ((X4 tptp.option_trm) (Y2 tptp.option_trm)) (= (@ (@ (@ tptp.if_option_trm false) X4) Y2) Y2)))
% 3.14/3.39 (assert (forall ((X4 tptp.option_trm) (Y2 tptp.option_trm)) (= (@ (@ (@ tptp.if_option_trm true) X4) Y2) X4)))
% 3.14/3.39 (assert (not (or (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f) tptp.none_trm) (= (@ (@ (@ tptp.uSubst516392818stappt tptp.sigma) tptp.u) (@ tptp.const tptp.f)) (@ (@ (@ tptp.uSubst1559070963pconst tptp.sigma) tptp.v) tptp.f)))))
% 3.14/3.39 (set-info :filename cvc5---1.0.5_19830)
% 3.14/3.39 (check-sat-assuming ( true ))
% 3.14/3.39 ------- get file name : TPTP file name is ITP202^1
% 3.14/3.39 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_19830.smt2...
% 3.14/3.39 --- Run --ho-elim --full-saturate-quant at 10...
% 3.14/3.39 % SZS status Theorem for ITP202^1
% 3.14/3.39 % SZS output start Proof for ITP202^1
% 3.14/3.39 (
% 3.14/3.39 (let ((_let_1 (@ tptp.uSubst1559070963pconst tptp.sigma))) (let ((_let_2 (@ (@ _let_1 tptp.v) tptp.f))) (let ((_let_3 (@ tptp.const tptp.f))) (let ((_let_4 (@ tptp.uSubst516392818stappt tptp.sigma))) (let ((_let_5 (@ (@ _let_4 tptp.u) _let_3))) (let ((_let_6 (= _let_5 _let_2))) (let ((_let_7 (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f))) (let ((_let_8 (not (or (= _let_7 tptp.none_trm) _let_6)))) (let ((_let_9 (forall ((X4 tptp.option_trm) (Y2 tptp.option_trm)) (= (@ (@ (@ tptp.if_option_trm true) X4) Y2) X4)))) (let ((_let_10 (forall ((X4 tptp.option_trm) (Y2 tptp.option_trm)) (= (@ (@ (@ tptp.if_option_trm false) X4) Y2) Y2)))) (let ((_let_11 (= tptp.uSubst_Mirabelle_dot (@ tptp.const (@ (@ (@ (@ (@ (@ (@ (@ tptp.char2 false) true) true) true) false) true) false) false))))) (let ((_let_12 (= tptp.uSubst1408967625substt (lambda ((Theta3 tptp.trm)) (@ (@ tptp.produc1618635950n_game (lambda ((F2 tptp.char)) (@ (@ (@ tptp.if_option_trm (= F2 (@ (@ (@ (@ (@ (@ (@ (@ tptp.char2 false) true) true) true) false) true) false) false))) (@ tptp.some_trm Theta3)) tptp.none_trm))) (@ (@ tptp.produc1048060077n_game (lambda ((Uu tptp.char)) tptp.none_trm)) (@ (@ tptp.produc123610156n_game (lambda ((Uu tptp.char)) tptp.none_fml)) (lambda ((Uu tptp.char)) tptp.none_game)))))))) (let ((_let_13 (= tptp.bot_bo1895715589game_o (lambda ((X (-> tptp.char tptp.option_fml)) (Y (-> tptp.char tptp.option_game))) (@ (@ tptp.member849814089n_game (@ (@ tptp.produc123610156n_game X) Y)) tptp.bot_bo456479484n_game))))) (let ((_let_14 (= tptp.bot_bo1417568964game_o (lambda ((X (-> tptp.char tptp.option_trm)) (Y tptp.produc799602994n_game)) (@ (@ tptp.member774167626n_game (@ (@ tptp.produc1048060077n_game X) Y)) tptp.bot_bo1302831229n_game))))) (let ((_let_15 (= tptp.combine_options_trm (lambda ((F2 (-> tptp.trm tptp.trm tptp.trm)) (X tptp.option_trm) (Y tptp.option_trm)) (@ (@ (@ tptp.case_o487727941rm_trm Y) (lambda ((Z3 tptp.trm)) (@ (@ (@ tptp.case_o487727941rm_trm (@ tptp.some_trm Z3)) (lambda ((Aa tptp.trm)) (@ tptp.some_trm (@ (@ F2 Z3) Aa)))) Y))) X))))) (let ((_let_16 (= tptp.combine_options_game (lambda ((F2 (-> tptp.game tptp.game tptp.game)) (X tptp.option_game) (Y tptp.option_game)) (@ (@ (@ tptp.case_o696458451e_game Y) (lambda ((Z3 tptp.game)) (@ (@ (@ tptp.case_o696458451e_game (@ tptp.some_game Z3)) (lambda ((Aa tptp.game)) (@ tptp.some_game (@ (@ F2 Z3) Aa)))) Y))) X))))) (let ((_let_17 (= tptp.combine_options_fml (lambda ((F2 (-> tptp.fml tptp.fml tptp.fml)) (X tptp.option_fml) (Y tptp.option_fml)) (@ (@ (@ tptp.case_o209804997ml_fml Y) (lambda ((Z3 tptp.fml)) (@ (@ (@ tptp.case_o209804997ml_fml (@ tptp.some_fml Z3)) (lambda ((Aa tptp.fml)) (@ tptp.some_fml (@ (@ F2 Z3) Aa)))) Y))) X))))) (let ((_let_18 (= tptp.produc1598111045on_fml tptp.produc1420172399on_fml))) (let ((_let_19 (= tptp.produc1214549391on_trm tptp.produc1036610745on_trm))) (let ((_let_20 (= tptp.produc377919108on_fml tptp.produc1615133358on_fml))) (let ((_let_21 (= tptp.produc2141841102on_trm tptp.produc1231571704on_trm))) (let ((_let_22 (= tptp.produc1278328899on_fml tptp.produc1250175341on_fml))) (let ((_let_23 (forall ((P (-> tptp.variable Bool))) (= (= (@ tptp.collect_variable P) tptp.bot_bot_set_variable) (= P tptp.bot_bot_variable_o))))) (let ((_let_24 (= tptp.bot_bot_variable_o (lambda ((X tptp.variable)) (@ (@ tptp.member_variable X) tptp.bot_bot_set_variable))))) (let ((_let_25 (= tptp.is_empty_variable (lambda ((A5 tptp.set_variable)) (= A5 tptp.bot_bot_set_variable))))) (let ((_let_26 (= tptp.inf_inf_set_variable (lambda ((A5 tptp.set_variable) (B5 tptp.set_variable)) (@ tptp.collect_variable (lambda ((X tptp.variable)) (let ((_let_1 (@ tptp.member_variable X))) (and (@ _let_1 A5) (@ _let_1 B5))))))))) (let ((_let_27 (= tptp.inf_inf_set_char (lambda ((A5 tptp.set_char) (B5 tptp.set_char)) (@ tptp.collect_char (lambda ((X tptp.char)) (let ((_let_1 (@ tptp.member_char X))) (and (@ _let_1 A5) (@ _let_1 B5))))))))) (let ((_let_28 (= tptp.bot_bot_set_variable (@ tptp.collect_variable (lambda ((X tptp.variable)) false))))) (let ((_let_29 (@ tptp.collect_variable tptp.bot_bot_variable_o))) (let ((_let_30 (= tptp.bot_bot_set_variable _let_29))) (let ((_let_31 (= tptp.bot_bot_set_char (@ tptp.collect_char tptp.bot_bot_char_o)))) (let ((_let_32 (forall ((C tptp.variable)) (not (@ (@ tptp.member_variable C) tptp.bot_bot_set_variable))))) (let ((_let_33 (forall ((P (-> tptp.variable Bool))) (= (= tptp.bot_bot_set_variable (@ tptp.collect_variable P)) (forall ((X tptp.variable)) (not (@ P X))))))) (let ((_let_34 (forall ((X22 tptp.trm)) (not (= tptp.none_trm (@ tptp.some_trm X22)))))) (let ((_let_35 (forall ((H (-> tptp.option_trm tptp.option_trm)) (F1 tptp.option_trm) (F22 (-> tptp.trm tptp.option_trm)) (Option tptp.option_trm)) (= (@ H (@ (@ (@ tptp.case_o487727941rm_trm F1) F22) Option)) (@ (@ (@ tptp.case_o487727941rm_trm (@ H F1)) (lambda ((X tptp.trm)) (@ H (@ F22 X)))) Option))))) (let ((_let_36 (= tptp.case_o487727941rm_trm (lambda ((F12 tptp.option_trm) (F23 (-> tptp.trm tptp.option_trm)) (Option2 tptp.option_trm)) (@ (@ (@ tptp.if_option_trm (= Option2 tptp.none_trm)) F12) (@ F23 (@ tptp.the_trm Option2))))))) (let ((_let_37 (= tptp.produc1420172399on_fml (lambda ((F2 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml)) (X tptp.produc799602994n_game) (Y tptp.char)) (@ (@ tptp.produc347802313on_fml (lambda ((L (-> tptp.char tptp.option_fml)) (R (-> tptp.char tptp.option_game))) (@ (@ (@ F2 L) R) Y))) X))))) (let ((_let_38 (= tptp.produc1036610745on_trm (lambda ((F2 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm)) (X tptp.produc799602994n_game) (Y tptp.char)) (@ (@ tptp.produc885547027on_trm (lambda ((L (-> tptp.char tptp.option_fml)) (R (-> tptp.char tptp.option_game))) (@ (@ (@ F2 L) R) Y))) X))))) (let ((_let_39 (= tptp.produc1615133358on_fml (lambda ((F2 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml)) (X tptp.produc62062515n_game) (Y tptp.char)) (@ (@ tptp.produc154833544on_fml (lambda ((L (-> tptp.char tptp.option_trm)) (R tptp.produc799602994n_game)) (@ (@ (@ F2 L) R) Y))) X))))) (let ((_let_40 (= tptp.produc1231571704on_trm (lambda ((F2 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm)) (X tptp.produc62062515n_game) (Y tptp.char)) (@ (@ tptp.produc692578258on_trm (lambda ((L (-> tptp.char tptp.option_trm)) (R tptp.produc799602994n_game)) (@ (@ (@ F2 L) R) Y))) X))))) (let ((_let_41 (= tptp.produc1250175341on_fml (lambda ((F2 (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.char tptp.option_fml)) (X tptp.produc1418842292n_game) (Y tptp.char)) (@ (@ tptp.produc1499310791on_fml (lambda ((L (-> tptp.char tptp.option_trm)) (R tptp.produc62062515n_game)) (@ (@ (@ F2 L) R) Y))) X))))) (let ((_let_42 (@ (@ _let_1 tptp.u) tptp.f))) (let ((_let_43 (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (F3 tptp.char)) (= (@ (@ (@ tptp.uSubst516392818stappt Sigma2) U2) (@ tptp.const F3)) (@ (@ (@ tptp.uSubst1559070963pconst Sigma2) U2) F3))))) (let ((_let_44 (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f))) (let ((_let_45 (@ tptp.some_trm _let_3))) (let ((_let_46 (@ tptp.case_o487727941rm_trm _let_45))) (let ((_let_47 (= _let_5 (@ (@ _let_46 (lambda ((T tptp.trm)) (@ (@ (@ tptp.if_option_trm (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT T)) tptp.u) tptp.bot_bot_set_variable)) (@ tptp.some_trm T)) tptp.none_trm))) _let_44)))) (let ((_let_48 (= tptp.uSubst1559070963pconst (lambda ((Sigma tptp.produc1418842292n_game) (U tptp.set_variable) (F2 tptp.char)) (@ (@ (@ tptp.case_o487727941rm_trm (@ tptp.some_trm (@ tptp.const F2))) (lambda ((R tptp.trm)) (@ (@ (@ tptp.if_option_trm (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT R)) U) tptp.bot_bot_set_variable)) (@ tptp.some_trm R)) tptp.none_trm))) (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma) F2)))))) (let ((_let_49 (@ (@ _let_4 tptp.v) _let_3))) (let ((_let_50 (not (= _let_49 tptp.none_trm)))) (let ((_let_51 (not (= _let_5 tptp.none_trm)))) (let ((_let_52 (forall ((Z tptp.option_trm) (F (-> tptp.trm tptp.option_trm)) (Za tptp.option_trm)) (let ((_let_1 (@ (@ (@ tptp.case_o487727941rm_trm Z) F) Za))) (let ((_let_2 (= Za tptp.none_trm))) (and (=> _let_2 (= _let_1 Z)) (=> (not _let_2) (= _let_1 (@ F (@ tptp.the_trm Za)))))))))) (let ((_let_53 (ho_1030 k_1029 tptp.f))) (let ((_let_54 (ho_680 k_679 tptp.sigma))) (let ((_let_55 (ho_648 (ho_681 _let_54 tptp.u) _let_53))) (let ((_let_56 (= tptp.none_trm _let_55))) (let ((_let_57 (ho_385 (ho_673 (ho_672 k_671 k_685) tptp.sigma) tptp.f))) (let ((_let_58 (ho_675 k_674 _let_57))) (let ((_let_59 (ho_648 k_647 _let_58))) (let ((_let_60 (ho_661 (ho_660 (ho_659 k_658 BOOLEAN_TERM_VARIABLE_84173) _let_59) tptp.none_trm))) (let ((_let_61 (ho_648 k_647 _let_53))) (let ((_let_62 (ho_660 (ho_659 k_658 BOOLEAN_TERM_VARIABLE_55169) _let_61))) (let ((_let_63 (= _let_55 (ho_661 _let_62 _let_60)))) (let ((_let_64 (ho_659 k_658 BOOLEAN_TERM_VARIABLE_83111))) (let ((_let_65 (= tptp.none_trm (ho_661 (ho_660 _let_64 _let_59) tptp.none_trm)))) (let ((_let_66 (ho_660 _let_64 _let_61))) (let ((_let_67 (= _let_60 (ho_661 _let_66 _let_60)))) (let ((_let_68 (ho_659 k_658 BOOLEAN_TERM_VARIABLE_82310))) (let ((_let_69 (ho_660 _let_68 _let_59))) (let ((_let_70 (= _let_59 (ho_661 _let_69 tptp.none_trm)))) (let ((_let_71 (ho_385 (ho_673 (ho_672 k_671 k_1023) tptp.sigma) tptp.f))) (let ((_let_72 (ho_675 k_674 _let_71))) (let ((_let_73 (ho_648 k_647 _let_72))) (let ((_let_74 (= _let_59 (ho_661 _let_69 _let_73)))) (let ((_let_75 ((= BOOLEAN_TERM_VARIABLE_82310 true)))) (let ((_let_76 (MACRO_SR_PRED_INTRO :args _let_75))) (let ((_let_77 (EQ_RESOLVE _let_76 (REWRITE :args _let_75)))) (let ((_let_78 ((= BOOLEAN_TERM_VARIABLE_83111 false)))) (let ((_let_79 (MACRO_SR_PRED_INTRO :args _let_78))) (let ((_let_80 (EQ_RESOLVE _let_79 (REWRITE :args _let_78)))) (let ((_let_81 (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (F3 tptp.char)) (let ((_let_1 (ho_1030 k_1029 F3))) (let ((_let_2 (ho_385 (ho_673 (ho_672 k_671 k_685) Sigma2) F3))) (= (ho_661 (ho_660 (ho_659 k_658 (= tptp.none_trm _let_2)) (ho_648 k_647 _let_1)) (ho_661 (ho_660 (ho_659 k_658 (= (ho_834 k_833 k_832) (ho_834 k_833 (ho_525 (ho_678 (ho_677 k_1022 Sigma2) F3) U2)))) (ho_648 k_647 (ho_675 k_674 _let_2))) tptp.none_trm)) (ho_648 (ho_681 (ho_680 k_679 Sigma2) U2) _let_1))))))) (let ((_let_82 (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (F3 tptp.char)) (let ((_let_1 (@ (@ (@ tptp.produc866613687on_trm ll_8) Sigma2) F3))) (let ((_let_2 (@ tptp.const F3))) (= (@ (@ (@ tptp.uSubst516392818stappt Sigma2) U2) _let_2) (@ (@ (@ tptp.if_option_trm (= tptp.none_trm _let_1)) (@ tptp.some_trm _let_2)) (@ (@ (@ tptp.if_option_trm (= (@ tptp.collect_variable tptp.bot_bot_variable_o) (@ tptp.collect_variable (@ (@ (@ ll_9 Sigma2) F3) U2)))) (@ tptp.some_trm (@ tptp.the_trm _let_1))) tptp.none_trm)))))))) (let ((_let_83 (EQ_RESOLVE (ASSUME :args (_let_48)) (MACRO_SR_EQ_INTRO :args (_let_48 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (ASSUME :args (_let_41)))) (let ((_let_85 (ASSUME :args (_let_40)))) (let ((_let_86 (ASSUME :args (_let_39)))) (let ((_let_87 (ASSUME :args (_let_38)))) (let ((_let_88 (ASSUME :args (_let_37)))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_36)) (MACRO_SR_EQ_INTRO :args (_let_36 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (ASSUME :args (_let_31)))) (let ((_let_91 (ASSUME :args (_let_30)))) (let ((_let_92 (ASSUME :args (_let_27)))) (let ((_let_93 (ASSUME :args (_let_26)))) (let ((_let_94 (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_93 _let_92 _let_91 _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_83) :args ((= tptp.is_empty_variable (lambda ((A5 tptp.set_variable)) (= tptp.bot_bot_set_variable A5))) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (AND_INTRO _let_94 _let_93 _let_92 _let_91 _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_83))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO _let_95 :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_96 _let_94 _let_93 _let_92 _let_91 _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_83) :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_97 _let_96 _let_94 _let_93 _let_92 _let_91 _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_83) :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_99 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_98 _let_97 _let_96 _let_94 _let_93 _let_92 _let_91 _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_83) :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_99 _let_98 _let_97 _let_96 _let_94 _let_93 _let_92 _let_91 _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_83) :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (ASSUME :args (_let_17)))) (let ((_let_102 (ASSUME :args (_let_16)))) (let ((_let_103 (AND_INTRO (ASSUME :args (_let_11)) (ASSUME :args (_let_12)) (ASSUME :args (_let_13)) (ASSUME :args (_let_14)) (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_102 _let_101 _let_100 _let_99 _let_98 _let_97 _let_96 _let_94 _let_93 _let_92 _let_91 _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_83) :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) _let_102 _let_101 _let_100 _let_99 _let_98 _let_97 _let_96 _let_94 _let_93 _let_92 _let_91 _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_83))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_43)) (TRANS (MACRO_SR_EQ_INTRO _let_103 :args (_let_43 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (F3 tptp.char)) (let ((_let_1 (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ tptp.produc692578258on_trm (lambda ((L (-> tptp.char tptp.option_trm)) (R tptp.produc799602994n_game)) (@ (@ tptp.produc885547027on_trm (lambda ((L (-> tptp.char tptp.option_fml)) (R (-> tptp.char tptp.option_game))) (@ F0 __flatten_var_1))) R))) __flatten_var_0))) Sigma2) F3))) (let ((_let_2 (@ tptp.const F3))) (= (@ (@ (@ tptp.uSubst516392818stappt Sigma2) U2) _let_2) (@ (@ (@ tptp.if_option_trm (= tptp.none_trm _let_1)) (@ tptp.some_trm _let_2)) (@ (@ (@ tptp.if_option_trm (= (@ tptp.collect_variable tptp.bot_bot_variable_o) (@ tptp.collect_variable (lambda ((X tptp.variable)) (let ((_let_1 (@ tptp.member_variable X))) (and (@ _let_1 (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ tptp.produc692578258on_trm (lambda ((L (-> tptp.char tptp.option_trm)) (R tptp.produc799602994n_game)) (@ (@ tptp.produc885547027on_trm (lambda ((L (-> tptp.char tptp.option_fml)) (R (-> tptp.char tptp.option_game))) (@ F0 __flatten_var_1))) R))) __flatten_var_0))) Sigma2) F3)))) (@ _let_1 U2))))))) (@ tptp.some_trm (@ tptp.the_trm _let_1))) tptp.none_trm)))))) _let_82))) (PREPROCESS :args ((= _let_82 _let_81))))))) (let ((_let_105 (=>))) (let ((_let_106 (=))) (let ((_let_107 (APPLY_UF ho_661))) (let ((_let_108 (REFL :args (tptp.none_trm)))) (let ((_let_109 (APPLY_UF ho_660))) (let ((_let_110 (REFL :args (_let_59)))) (let ((_let_111 (APPLY_UF ho_659))) (let ((_let_112 (ho_678 (ho_677 k_1022 tptp.sigma) tptp.f))) (let ((_let_113 (ho_834 k_833 k_832))) (let ((_let_114 (REFL :args (k_658)))) (let ((_let_115 (REFL :args (_let_61)))) (let ((_let_116 (= tptp.none_trm _let_57))) (let ((_let_117 (CONG (CONG _let_114 (MACRO_SR_PRED_INTRO :args ((= _let_116 BOOLEAN_TERM_VARIABLE_55169))) :args _let_111) _let_115 :args _let_109))) (let ((_let_118 (REFL :args (_let_55)))) (let ((_let_119 (_let_81))) (let ((_let_120 (REFL :args _let_119))) (let ((_let_121 ((ho_648 (ho_681 (ho_680 k_679 Sigma2) U2) (ho_1030 k_1029 F3))))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.sigma tptp.u tptp.f QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_119)) (CONG _let_120 (CONG _let_118 (CONG _let_117 (CONG (CONG (CONG _let_114 (MACRO_SR_PRED_INTRO :args ((= (= _let_113 (ho_834 k_833 (ho_525 _let_112 tptp.u))) BOOLEAN_TERM_VARIABLE_84173))) :args _let_111) _let_110 :args _let_109) _let_108 :args _let_107) :args _let_107) :args _let_106) :args _let_105))) _let_104 :args (_let_63 false _let_81)))) (let ((_let_123 (forall ((X4 tptp.option_trm) (Y2 tptp.option_trm)) (= Y2 (ho_661 (ho_660 (ho_659 k_658 false) X4) Y2))))) (let ((_let_124 (EQ_RESOLVE (ASSUME :args (_let_10)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X4 tptp.option_trm) (Y2 tptp.option_trm)) (= Y2 (@ (@ (@ tptp.if_option_trm false) X4) Y2))) _let_123))))))) (let ((_let_125 (MACRO_SR_PRED_INTRO :args ((= false BOOLEAN_TERM_VARIABLE_83111))))) (let ((_let_126 (CONG _let_114 _let_125 :args _let_111))) (let ((_let_127 (_let_123))) (let ((_let_128 (REFL :args _let_127))) (let ((_let_129 ((ho_661 (ho_660 _let_64 X4) Y2)))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_124 :args (_let_59 tptp.none_trm QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_127) (CONG _let_128 (CONG _let_108 (CONG (CONG _let_126 _let_110 :args _let_109) _let_108 :args _let_107) :args _let_106) :args _let_105))) _let_124 :args (_let_65 false _let_123)))) (let ((_let_131 (= tptp.none_trm _let_61))) (let ((_let_132 (not BOOLEAN_TERM_VARIABLE_92262))) (let ((_let_133 (forall ((X22 tptp.trm)) (not (= tptp.none_trm (ho_648 k_647 X22)))))) (let ((_let_134 (EQ_RESOLVE (ASSUME :args (_let_34)) (PREPROCESS :args ((= _let_34 _let_133)))))) (let ((_let_135 (_let_133))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (_let_53 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((ho_648 k_647 X22)))) :args _let_135)) _let_134 :args ((not _let_131) false _let_133)))) (let ((_let_137 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (SYMM (MACRO_SR_PRED_INTRO :args ((= BOOLEAN_TERM_VARIABLE_92262 _let_131))))) _let_136 :args (_let_132 true _let_131)))) (let ((_let_138 (= tptp.none_trm (ho_648 k_647 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_1198)))) (let ((_let_139 (not BOOLEAN_TERM_VARIABLE_106105))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (SYMM (MACRO_SR_PRED_INTRO :args ((= BOOLEAN_TERM_VARIABLE_106105 _let_138))))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_1198 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_135)) _let_134 :args ((not _let_138) false _let_133)) :args (_let_139 true _let_138)))) (let ((_let_141 (REFL :args (_let_60)))) (let ((_let_142 (CONG _let_126 _let_115 :args _let_109))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_124 :args (_let_61 _let_60 QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_127) (CONG _let_128 (CONG _let_141 (CONG _let_142 _let_141 :args _let_107) :args _let_106) :args _let_105))) _let_124 :args (_let_67 false _let_123)))) (let ((_let_144 (forall ((X4 tptp.option_trm) (Y2 tptp.option_trm)) (= X4 (ho_661 (ho_660 (ho_659 k_658 true) X4) Y2))))) (let ((_let_145 (EQ_RESOLVE (ASSUME :args (_let_9)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X4 tptp.option_trm) (Y2 tptp.option_trm)) (= X4 (@ (@ (@ tptp.if_option_trm true) X4) Y2))) _let_144))))))) (let ((_let_146 (MACRO_SR_PRED_INTRO :args ((= true BOOLEAN_TERM_VARIABLE_82310))))) (let ((_let_147 (CONG _let_114 _let_146 :args _let_111))) (let ((_let_148 (CONG _let_147 _let_110 :args _let_109))) (let ((_let_149 (_let_144))) (let ((_let_150 (REFL :args _let_149))) (let ((_let_151 ((ho_661 (ho_660 _let_68 X4) Y2)))) (let ((_let_152 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_145 :args (_let_59 tptp.none_trm QUANTIFIERS_INST_E_MATCHING _let_151)) :args _let_149) (CONG _let_150 (CONG _let_110 (CONG _let_148 _let_108 :args _let_107) :args _let_106) :args _let_105))) _let_145 :args (_let_70 false _let_144)))) (let ((_let_153 (REFL :args (_let_73)))) (let ((_let_154 (ho_661 (ho_660 (ho_659 k_658 BOOLEAN_TERM_VARIABLE_55139) _let_73) tptp.none_trm))) (let ((_let_155 (ho_659 k_658 BOOLEAN_TERM_VARIABLE_55146))) (let ((_let_156 (ho_660 _let_155 _let_61))) (let ((_let_157 (ho_661 _let_156 _let_154))) (let ((_let_158 (= _let_55 _let_157))) (let ((_let_159 (ho_661 (ho_660 (ho_659 k_658 BOOLEAN_TERM_VARIABLE_55162) _let_59) tptp.none_trm))) (let ((_let_160 (= _let_55 (ho_661 _let_62 _let_159)))) (let ((_let_161 (ho_681 _let_54 tptp.v))) (let ((_let_162 (ho_648 _let_161 _let_72))) (let ((_let_163 (ho_661 _let_156 _let_162))) (let ((_let_164 (ho_661 (ho_660 _let_155 _let_157) _let_163))) (let ((_let_165 (ho_661 (ho_660 _let_155 _let_154) _let_162))) (let ((_let_166 (ho_661 _let_156 _let_165))) (let ((_let_167 (= _let_166 _let_164))) (let ((_let_168 (ho_660 _let_68 _let_61))) (let ((_let_169 (= _let_61 (ho_661 _let_168 _let_159)))) (let ((_let_170 (= _let_157 (ho_661 (ho_660 _let_68 _let_157) _let_163)))) (let ((_let_171 (= _let_61 (ho_661 _let_168 _let_165)))) (let ((_let_172 (= _let_113 (ho_834 k_833 k_1021)))) (let ((_let_173 (forall ((X tptp.variable)) (not (ho_526 k_1021 X))))) (let ((_let_174 (= _let_172 _let_173))) (let ((_let_175 (ho_526 k_1021 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_1193))) (let ((_let_176 (ho_528 k_527 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_1193))) (let ((_let_177 (and (ho_529 _let_176 (ho_668 k_667 _let_58)) (ho_529 _let_176 tptp.v)))) (let ((_let_178 (= _let_175 _let_177))) (let ((_let_179 (ho_525 _let_112 tptp.v))) (let ((_let_180 (ho_526 _let_179 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_1193))) (let ((_let_181 (= _let_177 _let_180))) (let ((_let_182 (= k_831 k_832))) (let ((_let_183 (= k_832 k_904))) (let ((_let_184 (ho_526 k_831 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_1193))) (let ((_let_185 (= k_832 _let_179))) (let ((_let_186 (= _let_113 (ho_834 k_833 _let_179)))) (let ((_let_187 (= _let_186 _let_185))) (let ((_let_188 (ho_648 _let_161 _let_53))) (let ((_let_189 (= tptp.none_trm _let_188))) (let ((_let_190 (= _let_188 (ho_661 _let_62 (ho_661 (ho_660 (ho_659 k_658 BOOLEAN_TERM_VARIABLE_84201) _let_59) tptp.none_trm))))) (let ((_let_191 (= _let_159 (ho_661 _let_66 _let_159)))) (let ((_let_192 (not BOOLEAN_TERM_VARIABLE_55146))) (let ((_let_193 (= _let_113 (ho_834 k_833 k_1024)))) (let ((_let_194 (= tptp.none_trm _let_71))) (let ((_let_195 (CONG _let_114 (MACRO_SR_PRED_INTRO :args ((= _let_194 BOOLEAN_TERM_VARIABLE_55146))) :args _let_111))) (let ((_let_196 (@ (@ (@ tptp.produc866613687on_trm ll_6) tptp.sigma) tptp.f))) (let ((_let_197 (= _let_5 (@ (@ (@ tptp.if_option_trm (= tptp.none_trm _let_196)) _let_45) (@ (@ (@ tptp.if_option_trm (= _let_29 (@ tptp.collect_variable ll_7))) (@ tptp.some_trm (@ tptp.the_trm _let_196))) tptp.none_trm))))) (let ((_let_198 (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ tptp.produc692578258on_trm (lambda ((L (-> tptp.char tptp.option_trm)) (R tptp.produc799602994n_game)) (@ (@ tptp.produc885547027on_trm (lambda ((L (-> tptp.char tptp.option_fml)) (R (-> tptp.char tptp.option_game))) (@ F0 __flatten_var_1))) R))) __flatten_var_0))) tptp.sigma) tptp.f))) (let ((_let_199 (EQ_RESOLVE (ASSUME :args (_let_47)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_47 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_103 :args ((= _let_5 (@ (@ _let_46 (lambda ((T tptp.trm)) (@ (@ (@ tptp.if_option_trm (= tptp.bot_bot_set_variable (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT T)) tptp.u))) (@ tptp.some_trm T)) tptp.none_trm))) _let_44)) SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (= _let_5 (@ (@ (@ tptp.if_option_trm (= tptp.none_trm _let_198)) _let_45) (@ (@ (@ tptp.if_option_trm (= _let_29 (@ tptp.collect_variable (lambda ((X tptp.variable)) (let ((_let_1 (@ tptp.member_variable X))) (and (@ _let_1 (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ tptp.produc692578258on_trm (lambda ((L (-> tptp.char tptp.option_trm)) (R tptp.produc799602994n_game)) (@ (@ tptp.produc885547027on_trm (lambda ((L (-> tptp.char tptp.option_fml)) (R (-> tptp.char tptp.option_game))) (@ F0 __flatten_var_1))) R))) __flatten_var_0))) tptp.sigma) tptp.f)))) (@ _let_1 tptp.u))))))) (@ tptp.some_trm (@ tptp.the_trm _let_198))) tptp.none_trm))) _let_197))) (PREPROCESS :args ((= _let_197 (= _let_55 (ho_661 (ho_660 (ho_659 k_658 _let_194) _let_61) (ho_661 (ho_660 (ho_659 k_658 _let_193) _let_73) tptp.none_trm)))))) (CONG _let_118 (CONG (CONG _let_195 _let_115 :args _let_109) (CONG (CONG (CONG _let_114 (MACRO_SR_PRED_INTRO :args ((= _let_193 BOOLEAN_TERM_VARIABLE_55139))) :args _let_111) _let_153 :args _let_109) _let_108 :args _let_107) :args _let_107) :args _let_106))))) (let ((_let_200 (or))) (let ((_let_201 (MACRO_SR_PRED_INTRO :args ((= _let_172 BOOLEAN_TERM_VARIABLE_55162))))) (let ((_let_202 (= tptp.none_trm (ho_385 (ho_673 (ho_672 k_671 k_637) tptp.sigma) tptp.f)))) (let ((_let_203 (@ (@ (@ tptp.produc866613687on_trm ll_8) tptp.sigma) tptp.f))) (let ((_let_204 (not (or (= tptp.none_trm (@ (@ (@ tptp.produc866613687on_trm ll_228) tptp.sigma) tptp.f)) (= _let_5 (@ (@ (@ tptp.if_option_trm (= tptp.none_trm _let_203)) _let_45) (@ (@ (@ tptp.if_option_trm (= _let_29 (@ tptp.collect_variable ll_10))) (@ tptp.some_trm (@ tptp.the_trm _let_203))) tptp.none_trm))))))) (let ((_let_205 (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ tptp.produc692578258on_trm (lambda ((L (-> tptp.char tptp.option_trm)) (R tptp.produc799602994n_game)) (@ (@ tptp.produc885547027on_trm (lambda ((L (-> tptp.char tptp.option_fml)) (R (-> tptp.char tptp.option_game))) (@ F0 __flatten_var_1))) R))) __flatten_var_0))) tptp.sigma) tptp.f))) (let ((_let_206 (NOT_OR_ELIM (EQ_RESOLVE (ASSUME :args (_let_8)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_103 :args ((not (or (= tptp.none_trm _let_7) _let_6)) SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (or (= tptp.none_trm (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ tptp.produc692578258on_trm (lambda ((L (-> tptp.char tptp.option_trm)) (R tptp.produc799602994n_game)) (@ (@ tptp.produc885547027on_trm (lambda ((L (-> tptp.char tptp.option_fml)) (R (-> tptp.char tptp.option_game))) (@ F0 __flatten_var_1))) R))) __flatten_var_0))) tptp.sigma) tptp.f)) (= _let_5 (@ (@ (@ tptp.if_option_trm (= tptp.none_trm _let_205)) _let_45) (@ (@ (@ tptp.if_option_trm (= _let_29 (@ tptp.collect_variable (lambda ((X tptp.variable)) (let ((_let_1 (@ tptp.member_variable X))) (and (@ _let_1 (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ tptp.produc692578258on_trm (lambda ((L (-> tptp.char tptp.option_trm)) (R tptp.produc799602994n_game)) (@ (@ tptp.produc885547027on_trm (lambda ((L (-> tptp.char tptp.option_fml)) (R (-> tptp.char tptp.option_game))) (@ F0 __flatten_var_1))) R))) __flatten_var_0))) tptp.sigma) tptp.f)))) (@ _let_1 tptp.v))))))) (@ tptp.some_trm (@ tptp.the_trm _let_205))) tptp.none_trm))))) _let_204))) (PREPROCESS :args ((= _let_204 (not (or _let_202 (= _let_55 (ho_661 (ho_660 (ho_659 k_658 _let_116) _let_61) (ho_661 (ho_660 (ho_659 k_658 _let_172) _let_59) tptp.none_trm)))))))) (CONG (CONG (REFL :args (_let_202)) (CONG _let_118 (CONG _let_117 (CONG (CONG (CONG _let_114 _let_201 :args _let_111) _let_110 :args _let_109) _let_108 :args _let_107) :args _let_107) :args _let_106) :args _let_200) :args (not)))) :args (1)))) (let ((_let_207 (forall ((BOUND_VARIABLE_37857 |u_(-> tptp.option_trm tptp.option_trm)|) (F1 tptp.option_trm) (BOUND_VARIABLE_37855 |u_(-> tptp.trm tptp.option_trm)|) (Option tptp.option_trm)) (let ((_let_1 (ho_648 BOUND_VARIABLE_37855 (ho_675 k_674 Option)))) (let ((_let_2 (ho_659 k_658 (= tptp.none_trm Option)))) (= (ho_661 (ho_660 _let_2 (ho_661 BOUND_VARIABLE_37857 F1)) (ho_661 BOUND_VARIABLE_37857 _let_1)) (ho_661 BOUND_VARIABLE_37857 (ho_661 (ho_660 _let_2 F1) _let_1)))))))) (let ((_let_208 (EQ_RESOLVE (ASSUME :args (_let_35)) (TRANS (MACRO_SR_EQ_INTRO (AND_INTRO _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_83) :args (_let_35 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((H (-> tptp.option_trm tptp.option_trm)) (F1 tptp.option_trm) (F22 (-> tptp.trm tptp.option_trm)) (Option tptp.option_trm)) (let ((_let_1 (@ F22 (@ tptp.the_trm Option)))) (let ((_let_2 (@ tptp.if_option_trm (= tptp.none_trm Option)))) (= (@ H (@ (@ _let_2 F1) _let_1)) (@ (@ _let_2 (@ H F1)) (@ H _let_1)))))) _let_207))))))) (let ((_let_209 (REFL :args (_let_154)))) (let ((_let_210 (REFL :args (_let_163)))) (let ((_let_211 (REFL :args (_let_157)))) (let ((_let_212 (_let_207))) (let ((_let_213 (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_208 :args (_let_156 _let_154 _let_161 _let_71 QUANTIFIERS_INST_E_MATCHING ((ho_661 BOUND_VARIABLE_37857 F1) (ho_648 BOUND_VARIABLE_37855 (ho_675 k_674 Option))))) :args _let_212) (CONG (REFL :args _let_212) (TRANS (CONG (CONG (CONG _let_195 _let_211 :args _let_109) _let_210 :args _let_107) (CONG (REFL :args (_let_156)) (CONG (CONG _let_195 _let_209 :args _let_109) (REFL :args (_let_162)) :args _let_107) :args _let_107) :args _let_106) (REWRITE :args ((= _let_164 _let_166)))) :args _let_105))))) (let ((_let_214 (REFL :args (_let_159)))) (let ((_let_215 (CONG _let_147 _let_115 :args _let_109))) (let ((_let_216 (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_145 :args (_let_61 _let_159 QUANTIFIERS_INST_E_MATCHING _let_151)) :args _let_149) (CONG _let_150 (CONG _let_115 (CONG _let_215 _let_214 :args _let_107) :args _let_106) :args _let_105))))) (let ((_let_217 (MACRO_RESOLUTION_TRUST _let_216 _let_145 :args (_let_169 false _let_144)))) (let ((_let_218 (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_145 :args (_let_157 _let_163 QUANTIFIERS_INST_E_MATCHING _let_151)) :args _let_149) (CONG _let_150 (CONG _let_211 (CONG (CONG _let_147 _let_211 :args _let_109) _let_210 :args _let_107) :args _let_106) :args _let_105))))) (let ((_let_219 (REFL :args (_let_165)))) (let ((_let_220 (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_145 :args (_let_61 _let_165 QUANTIFIERS_INST_E_MATCHING _let_151)) :args _let_149) (CONG _let_150 (CONG _let_115 (CONG _let_215 _let_219 :args _let_107) :args _let_106) :args _let_105))))) (let ((_let_221 (not _let_169))) (let ((_let_222 (not BOOLEAN_TERM_VARIABLE_82310))) (let ((_let_223 (not BOOLEAN_TERM_VARIABLE_55169))) (let ((_let_224 (not _let_158))) (let ((_let_225 (and BOOLEAN_TERM_VARIABLE_55146 _let_158 BOOLEAN_TERM_VARIABLE_55169 BOOLEAN_TERM_VARIABLE_82310 _let_167 _let_169 _let_170 _let_171))) (let ((_let_226 (ASSUME :args (BOOLEAN_TERM_VARIABLE_55169)))) (let ((_let_227 (CONG _let_114 (TRANS _let_76 (SYMM (TRUE_INTRO _let_226))) :args _let_111))) (let ((_let_228 (ASSUME :args (BOOLEAN_TERM_VARIABLE_55146)))) (let ((_let_229 (CONG _let_114 (TRANS (TRUE_INTRO _let_228) _let_146) :args _let_111))) (let ((_let_230 (ASSUME :args (_let_171)))) (let ((_let_231 (SYMM _let_230))) (let ((_let_232 (CONG _let_229 _let_115 :args _let_109))) (let ((_let_233 (CONG _let_232 _let_219 :args _let_107))) (let ((_let_234 (ASSUME :args (_let_167)))) (let ((_let_235 (SYMM _let_234))) (let ((_let_236 (SYMM _let_229))) (let ((_let_237 (CONG (CONG _let_236 _let_211 :args _let_109) _let_210 :args _let_107))) (let ((_let_238 (ASSUME :args (_let_170)))) (let ((_let_239 (SYMM (SYMM _let_238)))) (let ((_let_240 (CONG _let_236 (TRANS _let_239 _let_237 _let_235 _let_233 _let_231) :args _let_109))) (let ((_let_241 (ASSUME :args (_let_169)))) (let ((_let_242 (SYMM (SYMM _let_241)))) (let ((_let_243 (SYMM (SYMM _let_199)))) (let ((_let_244 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_225)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_226 _let_77 _let_228 _let_230 _let_234 _let_238 _let_241 _let_199) (SCOPE (TRANS _let_243 _let_239 _let_237 _let_235 _let_233 _let_231 _let_242 (CONG (TRANS (TRANS (SYMM _let_232) (SYMM _let_240)) (TRANS _let_240 (CONG (TRANS _let_229 _let_227) _let_115 :args _let_109))) _let_214 :args _let_107)) :args (BOOLEAN_TERM_VARIABLE_55169 BOOLEAN_TERM_VARIABLE_82310 BOOLEAN_TERM_VARIABLE_55146 _let_171 _let_167 _let_170 _let_169 _let_158))) :args (BOOLEAN_TERM_VARIABLE_55146 _let_158 BOOLEAN_TERM_VARIABLE_55169 BOOLEAN_TERM_VARIABLE_82310 _let_167 _let_169 _let_170 _let_171))) :args (true _let_225)) :args ((or _let_160 _let_224 _let_192 _let_223 _let_222 (not _let_167) _let_221 (not _let_170) (not _let_171)))))) (let ((_let_245 (= _let_61 (ho_661 _let_168 _let_154)))) (let ((_let_246 (not BOOLEAN_TERM_VARIABLE_55162))) (let ((_let_247 (not BOOLEAN_TERM_VARIABLE_84173))) (let ((_let_248 (not _let_63))) (let ((_let_249 (and BOOLEAN_TERM_VARIABLE_55162 BOOLEAN_TERM_VARIABLE_82310 BOOLEAN_TERM_VARIABLE_84173 _let_63))) (let ((_let_250 (BOOLEAN_TERM_VARIABLE_55162 BOOLEAN_TERM_VARIABLE_82310 BOOLEAN_TERM_VARIABLE_84173 _let_63))) (let ((_let_251 (ASSUME :args (BOOLEAN_TERM_VARIABLE_55162)))) (let ((_let_252 (TRUE_INTRO _let_251))) (let ((_let_253 (ASSUME :args (BOOLEAN_TERM_VARIABLE_84173)))) (let ((_let_254 (ASSUME :args (_let_63)))) (let ((_let_255 (SYMM _let_254))) (let ((_let_256 (SYMM _let_255))) (let ((_let_257 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_249)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_251 _let_77 _let_253 _let_254) (SCOPE (TRANS _let_256 (CONG (REFL :args (_let_62)) (CONG (CONG (TRANS (CONG _let_114 (TRANS (TRUE_INTRO _let_253) _let_146) :args _let_111) (CONG _let_114 (TRANS _let_76 (SYMM _let_252)) :args _let_111)) _let_110 :args _let_109) _let_108 :args _let_107) :args _let_107)) :args _let_250)) :args _let_250)) :args (true _let_249)) :args ((or _let_160 _let_246 _let_222 _let_248 _let_247))))) (let ((_let_258 (not _let_70))) (let ((_let_259 (not _let_67))) (let ((_let_260 (not _let_245))) (let ((_let_261 (not _let_65))) (let ((_let_262 (REFL :args (_let_258)))) (let ((_let_263 (REFL :args (_let_259)))) (let ((_let_264 (MACRO_SR_PRED_INTRO :args ((= (not _let_139) BOOLEAN_TERM_VARIABLE_106105))))) (let ((_let_265 (MACRO_SR_PRED_INTRO :args ((= (not _let_132) BOOLEAN_TERM_VARIABLE_92262))))) (let ((_let_266 (REFL :args (_let_261)))) (let ((_let_267 (MACRO_SR_PRED_INTRO :args ((= (not _let_247) BOOLEAN_TERM_VARIABLE_84173))))) (let ((_let_268 (REFL :args (_let_248)))) (let ((_let_269 (not BOOLEAN_TERM_VARIABLE_83111))) (let ((_let_270 (MACRO_SR_PRED_INTRO :args ((= (not _let_269) BOOLEAN_TERM_VARIABLE_83111))))) (let ((_let_271 (REFL :args (_let_222)))) (let ((_let_272 (MACRO_SR_PRED_INTRO :args ((= (not _let_223) BOOLEAN_TERM_VARIABLE_55169))))) (let ((_let_273 (_let_246))) (let ((_let_274 (REFL :args _let_273))) (let ((_let_275 (_let_192))) (let ((_let_276 (and BOOLEAN_TERM_VARIABLE_55146 _let_158 BOOLEAN_TERM_VARIABLE_55162 _let_223 BOOLEAN_TERM_VARIABLE_82310 _let_269 _let_63 _let_247 _let_65 _let_132 _let_245 _let_139 _let_67 _let_70))) (let ((_let_277 (ASSUME :args (_let_245)))) (let ((_let_278 (ASSUME :args (_let_223)))) (let ((_let_279 (CONG _let_114 (TRANS _let_79 (SYMM (FALSE_INTRO _let_278))) :args _let_111))) (let ((_let_280 (CONG _let_279 _let_115 :args _let_109))) (let ((_let_281 (ASSUME :args (_let_67)))) (let ((_let_282 (SYMM (SYMM _let_281)))) (let ((_let_283 (ASSUME :args (_let_70)))) (let ((_let_284 (CONG (CONG _let_114 (TRANS _let_252 _let_146) :args _let_111) _let_110 :args _let_109))) (let ((_let_285 (TRANS (CONG _let_284 _let_108 :args _let_107) (SYMM _let_283)))) (let ((_let_286 (ASSUME :args (_let_247)))) (let ((_let_287 (CONG _let_114 (TRANS _let_79 (SYMM (FALSE_INTRO _let_286))) :args _let_111))) (let ((_let_288 (ASSUME :args (_let_132)))) (let ((_let_289 (CONG _let_114 (TRANS (FALSE_INTRO _let_288) _let_125) :args _let_111))) (let ((_let_290 (ASSUME :args (_let_139)))) (let ((_let_291 (CONG _let_114 (TRANS (FALSE_INTRO _let_290) _let_125) :args _let_111))) (let ((_let_292 (SYMM _let_291))) (let ((_let_293 (CONG _let_292 _let_110 :args _let_109))) (let ((_let_294 (ASSUME :args (_let_65)))) (let ((_let_295 (SYMM (SYMM _let_294)))) (let ((_let_296 (REORDERING (EQUIV_ELIM1 _let_201) :args ((or BOOLEAN_TERM_VARIABLE_55162 (not _let_172)))))) (let ((_let_297 (forall ((BOUND_VARIABLE_38435 |u_(-> tptp.variable Bool)|)) (= (forall ((X tptp.variable)) (not (ho_526 BOUND_VARIABLE_38435 X))) (= (ho_834 k_833 k_832) (ho_834 k_833 BOUND_VARIABLE_38435)))))) (let ((_let_298 (EQ_RESOLVE (ASSUME :args (_let_33)) (TRANS (MACRO_SR_EQ_INTRO _let_103 :args (_let_33 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((P (-> tptp.variable Bool))) (= (forall ((X tptp.variable)) (not (@ P X))) (= (@ tptp.collect_variable P) (@ tptp.collect_variable tptp.bot_bot_variable_o)))) _let_297))))))) (let ((_let_299 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_298 :args (k_1021 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((ho_834 k_833 BOUND_VARIABLE_38435)))) :args (_let_297)))) _let_298 :args (_let_174 false _let_297)))) (let ((_let_300 (not _let_173))) (let ((_let_301 (REORDERING (CNF_EQUIV_POS2 :args (_let_174)) :args ((or _let_172 _let_300 (not _let_174)))))) (let ((_let_302 (not _let_175))) (let ((_let_303 (_let_300))) (let ((_let_304 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_303)) :args _let_303) (REWRITE :args ((=> _let_300 (not _let_302)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_300) _let_173))) (REFL :args (_let_175)) :args _let_200)))) (let ((_let_305 (forall ((BOUND_VARIABLE_22603 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_22603))) (= (and (ho_529 _let_1 (ho_668 k_667 (ho_675 k_674 (ho_385 (ho_673 (ho_672 k_671 k_685) tptp.sigma) tptp.f)))) (ho_529 _let_1 tptp.v)) (ho_526 k_1021 BOUND_VARIABLE_22603)))))) (let ((_let_306 (forall ((u |u_(-> _u_(-> tptp.produc1699626005le_trm tptp.produc1699626005le_trm Bool)_ tptp.produc1699626005le_trm Bool)|) (e |u_(-> tptp.produc1699626005le_trm Bool)|) (i |u_(-> tptp.produc1699626005le_trm tptp.produc1699626005le_trm Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc1699626005le_trm tptp.produc1699626005le_trm Bool)_ tptp.produc1699626005le_trm Bool)|)) (not (forall ((ii |u_(-> tptp.produc1699626005le_trm tptp.produc1699626005le_trm Bool)|)) (= (ho_1078 v ii) (ite (= i ii) e (ho_1078 u ii)))))))))) (let ((_let_307 (forall ((x |u_(-> _u_(-> tptp.produc1699626005le_trm tptp.produc1699626005le_trm Bool)_ tptp.produc1699626005le_trm Bool)|) (y |u_(-> _u_(-> tptp.produc1699626005le_trm tptp.produc1699626005le_trm Bool)_ tptp.produc1699626005le_trm Bool)|)) (or (not (forall ((z |u_(-> tptp.produc1699626005le_trm tptp.produc1699626005le_trm Bool)|)) (= (ho_1078 x z) (ho_1078 y z)))) (= x y))))) (let ((_let_308 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (e |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (= (ho_795 v ii) (ite (= i ii) e (ho_795 u ii)))))))))) (let ((_let_309 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (= (ho_795 x z) (ho_795 y z)))) (= x y))))) (let ((_let_310 (forall ((u |u_(-> tptp.produc1699626005le_trm tptp.produc1699626005le_trm Bool)|) (e |u_(-> tptp.produc1699626005le_trm Bool)|) (i tptp.produc1699626005le_trm)) (not (forall ((v |u_(-> tptp.produc1699626005le_trm tptp.produc1699626005le_trm Bool)|)) (not (forall ((ii tptp.produc1699626005le_trm)) (= (ho_1076 v ii) (ite (= i ii) e (ho_1076 u ii)))))))))) (let ((_let_311 (forall ((x |u_(-> tptp.produc1699626005le_trm tptp.produc1699626005le_trm Bool)|) (y |u_(-> tptp.produc1699626005le_trm tptp.produc1699626005le_trm Bool)|)) (or (not (forall ((z tptp.produc1699626005le_trm)) (= (ho_1076 x z) (ho_1076 y z)))) (= x y))))) (let ((_let_312 (forall ((u |u_(-> tptp.produc1418842292n_game tptp.produc1367888000le_trm tptp.produc1699626005le_trm)|) (e |u_(-> tptp.produc1367888000le_trm tptp.produc1699626005le_trm)|) (i tptp.produc1418842292n_game)) (not (forall ((v |u_(-> tptp.produc1418842292n_game tptp.produc1367888000le_trm tptp.produc1699626005le_trm)|)) (not (forall ((ii tptp.produc1418842292n_game)) (= (ho_1073 v ii) (ite (= i ii) e (ho_1073 u ii)))))))))) (let ((_let_313 (forall ((x |u_(-> tptp.produc1418842292n_game tptp.produc1367888000le_trm tptp.produc1699626005le_trm)|) (y |u_(-> tptp.produc1418842292n_game tptp.produc1367888000le_trm tptp.produc1699626005le_trm)|)) (or (not (forall ((z tptp.produc1418842292n_game)) (= (ho_1073 x z) (ho_1073 y z)))) (= x y))))) (let ((_let_314 (forall ((u |u_(-> tptp.produc1418842292n_game tptp.set_variable tptp.trm Bool)|) (e |u_(-> tptp.set_variable tptp.trm Bool)|) (i tptp.produc1418842292n_game)) (not (forall ((v |u_(-> tptp.produc1418842292n_game tptp.set_variable tptp.trm Bool)|)) (not (forall ((ii tptp.produc1418842292n_game)) (= (ho_1068 v ii) (ite (= i ii) e (ho_1068 u ii)))))))))) (let ((_let_315 (forall ((x |u_(-> tptp.produc1418842292n_game tptp.set_variable tptp.trm Bool)|) (y |u_(-> tptp.produc1418842292n_game tptp.set_variable tptp.trm Bool)|)) (or (not (forall ((z tptp.produc1418842292n_game)) (= (ho_1068 x z) (ho_1068 y z)))) (= x y))))) (let ((_let_316 (forall ((u |u_(-> tptp.real tptp.trm)|) (e tptp.trm) (i tptp.real)) (not (forall ((v |u_(-> tptp.real tptp.trm)|)) (not (forall ((ii tptp.real)) (= (ho_1065 v ii) (ite (= i ii) e (ho_1065 u ii)))))))))) (let ((_let_317 (forall ((x |u_(-> tptp.real tptp.trm)|) (y |u_(-> tptp.real tptp.trm)|)) (or (not (forall ((z tptp.real)) (= (ho_1065 x z) (ho_1065 y z)))) (= x y))))) (let ((_let_318 (forall ((u |u_(-> tptp.option_game tptp.option_fml Bool)|) (e |u_(-> tptp.option_fml Bool)|) (i tptp.option_game)) (not (forall ((v |u_(-> tptp.option_game tptp.option_fml Bool)|)) (not (forall ((ii tptp.option_game)) (= (ho_1055 v ii) (ite (= i ii) e (ho_1055 u ii)))))))))) (let ((_let_319 (forall ((x |u_(-> tptp.option_game tptp.option_fml Bool)|) (y |u_(-> tptp.option_game tptp.option_fml Bool)|)) (or (not (forall ((z tptp.option_game)) (= (ho_1055 x z) (ho_1055 y z)))) (= x y))))) (let ((_let_320 (forall ((u |u_(-> tptp.option_game tptp.option_trm Bool)|) (e |u_(-> tptp.option_trm Bool)|) (i tptp.option_game)) (not (forall ((v |u_(-> tptp.option_game tptp.option_trm Bool)|)) (not (forall ((ii tptp.option_game)) (= (ho_1054 v ii) (ite (= i ii) e (ho_1054 u ii)))))))))) (let ((_let_321 (forall ((x |u_(-> tptp.option_game tptp.option_trm Bool)|) (y |u_(-> tptp.option_game tptp.option_trm Bool)|)) (or (not (forall ((z tptp.option_game)) (= (ho_1054 x z) (ho_1054 y z)))) (= x y))))) (let ((_let_322 (forall ((u |u_(-> tptp.option_fml tptp.option_game Bool)|) (e |u_(-> tptp.option_game Bool)|) (i tptp.option_fml)) (not (forall ((v |u_(-> tptp.option_fml tptp.option_game Bool)|)) (not (forall ((ii tptp.option_fml)) (= (ho_1053 v ii) (ite (= i ii) e (ho_1053 u ii)))))))))) (let ((_let_323 (forall ((x |u_(-> tptp.option_fml tptp.option_game Bool)|) (y |u_(-> tptp.option_fml tptp.option_game Bool)|)) (or (not (forall ((z tptp.option_fml)) (= (ho_1053 x z) (ho_1053 y z)))) (= x y))))) (let ((_let_324 (forall ((u |u_(-> tptp.option_fml tptp.option_fml Bool)|) (e |u_(-> tptp.option_fml Bool)|) (i tptp.option_fml)) (not (forall ((v |u_(-> tptp.option_fml tptp.option_fml Bool)|)) (not (forall ((ii tptp.option_fml)) (= (ho_1052 v ii) (ite (= i ii) e (ho_1052 u ii)))))))))) (let ((_let_325 (forall ((x |u_(-> tptp.option_fml tptp.option_fml Bool)|) (y |u_(-> tptp.option_fml tptp.option_fml Bool)|)) (or (not (forall ((z tptp.option_fml)) (= (ho_1052 x z) (ho_1052 y z)))) (= x y))))) (let ((_let_326 (forall ((u |u_(-> tptp.option_trm tptp.option_game Bool)|) (e |u_(-> tptp.option_game Bool)|) (i tptp.option_trm)) (not (forall ((v |u_(-> tptp.option_trm tptp.option_game Bool)|)) (not (forall ((ii tptp.option_trm)) (= (ho_1050 v ii) (ite (= i ii) e (ho_1050 u ii)))))))))) (let ((_let_327 (forall ((x |u_(-> tptp.option_trm tptp.option_game Bool)|) (y |u_(-> tptp.option_trm tptp.option_game Bool)|)) (or (not (forall ((z tptp.option_trm)) (= (ho_1050 x z) (ho_1050 y z)))) (= x y))))) (let ((_let_328 (forall ((u |u_(-> Bool _u_(-> tptp.game Bool)_ tptp.option_game Bool)|) (e |u_(-> _u_(-> tptp.game Bool)_ tptp.option_game Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> tptp.game Bool)_ tptp.option_game Bool)|)) (not (forall ((ii Bool)) (= (ho_1047 v ii) (ite (= i ii) e (ho_1047 u ii)))))))))) (let ((_let_329 (forall ((x |u_(-> Bool _u_(-> tptp.game Bool)_ tptp.option_game Bool)|) (y |u_(-> Bool _u_(-> tptp.game Bool)_ tptp.option_game Bool)|)) (or (not (forall ((z Bool)) (= (ho_1047 x z) (ho_1047 y z)))) (= x y))))) (let ((_let_330 (forall ((u |u_(-> tptp.option_game tptp.option_game)|) (e tptp.option_game) (i tptp.option_game)) (not (forall ((v |u_(-> tptp.option_game tptp.option_game)|)) (not (forall ((ii tptp.option_game)) (= (ho_804 v ii) (ite (= i ii) e (ho_804 u ii)))))))))) (let ((_let_331 (forall ((x |u_(-> tptp.option_game tptp.option_game)|) (y |u_(-> tptp.option_game tptp.option_game)|)) (or (not (forall ((z tptp.option_game)) (= (ho_804 x z) (ho_804 y z)))) (= x y))))) (let ((_let_332 (forall ((u |u_(-> Bool _u_(-> tptp.trm Bool)_ tptp.option_trm Bool)|) (e |u_(-> _u_(-> tptp.trm Bool)_ tptp.option_trm Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> tptp.trm Bool)_ tptp.option_trm Bool)|)) (not (forall ((ii Bool)) (= (ho_1041 v ii) (ite (= i ii) e (ho_1041 u ii)))))))))) (let ((_let_333 (forall ((x |u_(-> Bool _u_(-> tptp.trm Bool)_ tptp.option_trm Bool)|) (y |u_(-> Bool _u_(-> tptp.trm Bool)_ tptp.option_trm Bool)|)) (or (not (forall ((z Bool)) (= (ho_1041 x z) (ho_1041 y z)))) (= x y))))) (let ((_let_334 (forall ((u |u_(-> _u_(-> tptp.trm Bool)_ tptp.option_trm Bool)|) (e |u_(-> tptp.option_trm Bool)|) (i |u_(-> tptp.trm Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.trm Bool)_ tptp.option_trm Bool)|)) (not (forall ((ii |u_(-> tptp.trm Bool)|)) (= (ho_1042 v ii) (ite (= i ii) e (ho_1042 u ii)))))))))) (let ((_let_335 (forall ((x |u_(-> _u_(-> tptp.trm Bool)_ tptp.option_trm Bool)|) (y |u_(-> _u_(-> tptp.trm Bool)_ tptp.option_trm Bool)|)) (or (not (forall ((z |u_(-> tptp.trm Bool)|)) (= (ho_1042 x z) (ho_1042 y z)))) (= x y))))) (let ((_let_336 (forall ((u |u_(-> tptp.option_trm tptp.set_char)|) (e tptp.set_char) (i tptp.option_trm)) (not (forall ((v |u_(-> tptp.option_trm tptp.set_char)|)) (not (forall ((ii tptp.option_trm)) (= (ho_1101 v ii) (ite (= i ii) e (ho_1101 u ii)))))))))) (let ((_let_337 (forall ((x |u_(-> tptp.option_trm tptp.set_char)|) (y |u_(-> tptp.option_trm tptp.set_char)|)) (or (not (forall ((z tptp.option_trm)) (= (ho_1101 x z) (ho_1101 y z)))) (= x y))))) (let ((_let_338 (forall ((u |u_(-> tptp.trm tptp.trm)|) (e tptp.trm) (i tptp.trm)) (not (forall ((v |u_(-> tptp.trm tptp.trm)|)) (not (forall ((ii tptp.trm)) (= (ho_1039 v ii) (ite (= i ii) e (ho_1039 u ii)))))))))) (let ((_let_339 (forall ((x |u_(-> tptp.trm tptp.trm)|) (y |u_(-> tptp.trm tptp.trm)|)) (or (not (forall ((z tptp.trm)) (= (ho_1039 x z) (ho_1039 y z)))) (= x y))))) (let ((_let_340 (forall ((u |u_(-> _u_(-> tptp.fml Bool)_ tptp.option_fml Bool)|) (e |u_(-> tptp.option_fml Bool)|) (i |u_(-> tptp.fml Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.fml Bool)_ tptp.option_fml Bool)|)) (not (forall ((ii |u_(-> tptp.fml Bool)|)) (= (ho_1045 v ii) (ite (= i ii) e (ho_1045 u ii)))))))))) (let ((_let_341 (forall ((x |u_(-> _u_(-> tptp.fml Bool)_ tptp.option_fml Bool)|) (y |u_(-> _u_(-> tptp.fml Bool)_ tptp.option_fml Bool)|)) (or (not (forall ((z |u_(-> tptp.fml Bool)|)) (= (ho_1045 x z) (ho_1045 y z)))) (= x y))))) (let ((_let_342 (forall ((u |u_(-> tptp.option_fml tptp.fml)|) (e tptp.fml) (i tptp.option_fml)) (not (forall ((v |u_(-> tptp.option_fml tptp.fml)|)) (not (forall ((ii tptp.option_fml)) (= (ho_1034 v ii) (ite (= i ii) e (ho_1034 u ii)))))))))) (let ((_let_343 (forall ((x |u_(-> tptp.option_fml tptp.fml)|) (y |u_(-> tptp.option_fml tptp.fml)|)) (or (not (forall ((z tptp.option_fml)) (= (ho_1034 x z) (ho_1034 y z)))) (= x y))))) (let ((_let_344 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|) (e |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|) (i |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)|)) (= (ho_864 v ii) (ite (= i ii) e (ho_864 u ii)))))))))) (let ((_let_345 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)|)) (= (ho_864 x z) (ho_864 y z)))) (= x y))))) (let ((_let_346 (forall ((u |u_(-> _u_(-> tptp.game tptp.game tptp.game)_ tptp.game tptp.game tptp.option_game)|) (e |u_(-> tptp.game tptp.game tptp.option_game)|) (i |u_(-> tptp.game tptp.game tptp.game)|)) (not (forall ((v |u_(-> _u_(-> tptp.game tptp.game tptp.game)_ tptp.game tptp.game tptp.option_game)|)) (not (forall ((ii |u_(-> tptp.game tptp.game tptp.game)|)) (= (ho_505 v ii) (ite (= i ii) e (ho_505 u ii)))))))))) (let ((_let_347 (forall ((x |u_(-> _u_(-> tptp.game tptp.game tptp.game)_ tptp.game tptp.game tptp.option_game)|) (y |u_(-> _u_(-> tptp.game tptp.game tptp.game)_ tptp.game tptp.game tptp.option_game)|)) (or (not (forall ((z |u_(-> tptp.game tptp.game tptp.game)|)) (= (ho_505 x z) (ho_505 y z)))) (= x y))))) (let ((_let_348 (forall ((u |u_(-> tptp.option_trm tptp.option_trm Bool)|) (e |u_(-> tptp.option_trm Bool)|) (i tptp.option_trm)) (not (forall ((v |u_(-> tptp.option_trm tptp.option_trm Bool)|)) (not (forall ((ii tptp.option_trm)) (= (ho_1031 v ii) (ite (= i ii) e (ho_1031 u ii)))))))))) (let ((_let_349 (forall ((x |u_(-> tptp.option_trm tptp.option_trm Bool)|) (y |u_(-> tptp.option_trm tptp.option_trm Bool)|)) (or (not (forall ((z tptp.option_trm)) (= (ho_1031 x z) (ho_1031 y z)))) (= x y))))) (let ((_let_350 (forall ((u |u_(-> tptp.set_char Bool)|) (e Bool) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char Bool)|)) (not (forall ((ii tptp.set_char)) (= (ho_536 v ii) (ite (= i ii) e (ho_536 u ii)))))))))) (let ((_let_351 (forall ((x |u_(-> tptp.set_char Bool)|) (y |u_(-> tptp.set_char Bool)|)) (or (not (forall ((z tptp.set_char)) (= (ho_536 x z) (ho_536 y z)))) (= x y))))) (let ((_let_352 (forall ((u |u_(-> tptp.fml Bool)|) (e Bool) (i tptp.fml)) (not (forall ((v |u_(-> tptp.fml Bool)|)) (not (forall ((ii tptp.fml)) (= (ho_978 v ii) (ite (= i ii) e (ho_978 u ii)))))))))) (let ((_let_353 (forall ((x |u_(-> tptp.fml Bool)|) (y |u_(-> tptp.fml Bool)|)) (or (not (forall ((z tptp.fml)) (= (ho_978 x z) (ho_978 y z)))) (= x y))))) (let ((_let_354 (forall ((u |u_(-> tptp.produc1367888000le_trm tptp.produc1699626005le_trm)|) (e tptp.produc1699626005le_trm) (i tptp.produc1367888000le_trm)) (not (forall ((v |u_(-> tptp.produc1367888000le_trm tptp.produc1699626005le_trm)|)) (not (forall ((ii tptp.produc1367888000le_trm)) (= (ho_1074 v ii) (ite (= i ii) e (ho_1074 u ii)))))))))) (let ((_let_355 (forall ((x |u_(-> tptp.produc1367888000le_trm tptp.produc1699626005le_trm)|) (y |u_(-> tptp.produc1367888000le_trm tptp.produc1699626005le_trm)|)) (or (not (forall ((z tptp.produc1367888000le_trm)) (= (ho_1074 x z) (ho_1074 y z)))) (= x y))))) (let ((_let_356 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (e |u_(-> tptp.produc62062515n_game tptp.char tptp.option_fml)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (= (ho_869 v ii) (ite (= i ii) e (ho_869 u ii)))))))))) (let ((_let_357 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (= (ho_869 x z) (ho_869 y z)))) (= x y))))) (let ((_let_358 (forall ((u |u_(-> _u_(-> tptp.option_trm Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.option_trm Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.option_trm Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.option_trm Bool)|)) (= (ho_943 v ii) (ite (= i ii) e (ho_943 u ii)))))))))) (let ((_let_359 (forall ((x |u_(-> _u_(-> tptp.option_trm Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.option_trm Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.option_trm Bool)|)) (= (ho_943 x z) (ho_943 y z)))) (= x y))))) (let ((_let_360 (forall ((u |u_(-> tptp.set_char _u_(-> tptp.char Bool)_ tptp.char Bool)|) (e |u_(-> _u_(-> tptp.char Bool)_ tptp.char Bool)|) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char _u_(-> tptp.char Bool)_ tptp.char Bool)|)) (not (forall ((ii tptp.set_char)) (= (ho_899 v ii) (ite (= i ii) e (ho_899 u ii)))))))))) (let ((_let_361 (forall ((x |u_(-> tptp.set_char _u_(-> tptp.char Bool)_ tptp.char Bool)|) (y |u_(-> tptp.set_char _u_(-> tptp.char Bool)_ tptp.char Bool)|)) (or (not (forall ((z tptp.set_char)) (= (ho_899 x z) (ho_899 y z)))) (= x y))))) (let ((_let_362 (forall ((u |u_(-> tptp.option_fml tptp.produc1739631244on_fml)|) (e tptp.produc1739631244on_fml) (i tptp.option_fml)) (not (forall ((v |u_(-> tptp.option_fml tptp.produc1739631244on_fml)|)) (not (forall ((ii tptp.option_fml)) (= (ho_1142 v ii) (ite (= i ii) e (ho_1142 u ii)))))))))) (let ((_let_363 (forall ((x |u_(-> tptp.option_fml tptp.produc1739631244on_fml)|) (y |u_(-> tptp.option_fml tptp.produc1739631244on_fml)|)) (or (not (forall ((z tptp.option_fml)) (= (ho_1142 x z) (ho_1142 y z)))) (= x y))))) (let ((_let_364 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|) (e |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)|)) (= (ho_872 v ii) (ite (= i ii) e (ho_872 u ii)))))))))) (let ((_let_365 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)|)) (= (ho_872 x z) (ho_872 y z)))) (= x y))))) (let ((_let_366 (forall ((u |u_(-> Bool tptp.option_trm tptp.option_trm tptp.option_trm)|) (e |u_(-> tptp.option_trm tptp.option_trm tptp.option_trm)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.option_trm tptp.option_trm tptp.option_trm)|)) (not (forall ((ii Bool)) (= (ho_659 v ii) (ite (= i ii) e (ho_659 u ii)))))))))) (let ((_let_367 (forall ((x |u_(-> Bool tptp.option_trm tptp.option_trm tptp.option_trm)|) (y |u_(-> Bool tptp.option_trm tptp.option_trm tptp.option_trm)|)) (or (not (forall ((z Bool)) (= (ho_659 x z) (ho_659 y z)))) (= x y))))) (let ((_let_368 (forall ((u |u_(-> tptp.set_variable _u_(-> tptp.variable Bool)_ tptp.variable Bool)|) (e |u_(-> _u_(-> tptp.variable Bool)_ tptp.variable Bool)|) (i tptp.set_variable)) (not (forall ((v |u_(-> tptp.set_variable _u_(-> tptp.variable Bool)_ tptp.variable Bool)|)) (not (forall ((ii tptp.set_variable)) (= (ho_897 v ii) (ite (= i ii) e (ho_897 u ii)))))))))) (let ((_let_369 (forall ((x |u_(-> tptp.set_variable _u_(-> tptp.variable Bool)_ tptp.variable Bool)|) (y |u_(-> tptp.set_variable _u_(-> tptp.variable Bool)_ tptp.variable Bool)|)) (or (not (forall ((z tptp.set_variable)) (= (ho_897 x z) (ho_897 y z)))) (= x y))))) (let ((_let_370 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|) (e |u_(-> tptp.produc62062515n_game tptp.char tptp.option_trm)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (= (ho_865 v ii) (ite (= i ii) e (ho_865 u ii)))))))))) (let ((_let_371 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (= (ho_865 x z) (ho_865 y z)))) (= x y))))) (let ((_let_372 (forall ((u |u_(-> tptp.option_fml tptp.option_fml tptp.produc46605351on_fml)|) (e |u_(-> tptp.option_fml tptp.produc46605351on_fml)|) (i tptp.option_fml)) (not (forall ((v |u_(-> tptp.option_fml tptp.option_fml tptp.produc46605351on_fml)|)) (not (forall ((ii tptp.option_fml)) (= (ho_1147 v ii) (ite (= i ii) e (ho_1147 u ii)))))))))) (let ((_let_373 (forall ((x |u_(-> tptp.option_fml tptp.option_fml tptp.produc46605351on_fml)|) (y |u_(-> tptp.option_fml tptp.option_fml tptp.produc46605351on_fml)|)) (or (not (forall ((z tptp.option_fml)) (= (ho_1147 x z) (ho_1147 y z)))) (= x y))))) (let ((_let_374 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (e |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (i |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|)) (= (ho_861 v ii) (ite (= i ii) e (ho_861 u ii)))))))))) (let ((_let_375 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|)) (= (ho_861 x z) (ho_861 y z)))) (= x y))))) (let ((_let_376 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (e |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)|)) (= (ho_858 v ii) (ite (= i ii) e (ho_858 u ii)))))))))) (let ((_let_377 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)|)) (= (ho_858 x z) (ho_858 y z)))) (= x y))))) (let ((_let_378 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)_ tptp.produc62062515n_game tptp.option_fml)|) (e |u_(-> tptp.produc62062515n_game tptp.option_fml)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)_ tptp.produc62062515n_game tptp.option_fml)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|)) (= (ho_639 v ii) (ite (= i ii) e (ho_639 u ii)))))))))) (let ((_let_379 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)_ tptp.produc62062515n_game tptp.option_fml)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)_ tptp.produc62062515n_game tptp.option_fml)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|)) (= (ho_639 x z) (ho_639 y z)))) (= x y))))) (let ((_let_380 (forall ((u |u_(-> tptp.variable tptp.trm)|) (e tptp.trm) (i tptp.variable)) (not (forall ((v |u_(-> tptp.variable tptp.trm)|)) (not (forall ((ii tptp.variable)) (= (ho_1067 v ii) (ite (= i ii) e (ho_1067 u ii)))))))))) (let ((_let_381 (forall ((x |u_(-> tptp.variable tptp.trm)|) (y |u_(-> tptp.variable tptp.trm)|)) (or (not (forall ((z tptp.variable)) (= (ho_1067 x z) (ho_1067 y z)))) (= x y))))) (let ((_let_382 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (e |u_(-> tptp.produc799602994n_game tptp.char tptp.option_fml)|) (i |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|)) (= (ho_855 v ii) (ite (= i ii) e (ho_855 u ii)))))))))) (let ((_let_383 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|)) (= (ho_855 x z) (ho_855 y z)))) (= x y))))) (let ((_let_384 (forall ((u |u_(-> tptp.option_trm tptp.option_trm)|) (e tptp.option_trm) (i tptp.option_trm)) (not (forall ((v |u_(-> tptp.option_trm tptp.option_trm)|)) (not (forall ((ii tptp.option_trm)) (= (ho_661 v ii) (ite (= i ii) e (ho_661 u ii)))))))))) (let ((_let_385 (forall ((x |u_(-> tptp.option_trm tptp.option_trm)|) (y |u_(-> tptp.option_trm tptp.option_trm)|)) (or (not (forall ((z tptp.option_trm)) (= (ho_661 x z) (ho_661 y z)))) (= x y))))) (let ((_let_386 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (e |u_(-> tptp.produc799602994n_game tptp.char tptp.option_trm)|) (i |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|)) (= (ho_851 v ii) (ite (= i ii) e (ho_851 u ii)))))))))) (let ((_let_387 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|)) (= (ho_851 x z) (ho_851 y z)))) (= x y))))) (let ((_let_388 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (e |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (i |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|)) (= (ho_847 v ii) (ite (= i ii) e (ho_847 u ii)))))))))) (let ((_let_389 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|)) (= (ho_847 x z) (ho_847 y z)))) (= x y))))) (let ((_let_390 (forall ((u |u_(-> tptp.produc1418842292n_game tptp.trm tptp.char tptp.option_trm)|) (e |u_(-> tptp.trm tptp.char tptp.option_trm)|) (i tptp.produc1418842292n_game)) (not (forall ((v |u_(-> tptp.produc1418842292n_game tptp.trm tptp.char tptp.option_trm)|)) (not (forall ((ii tptp.produc1418842292n_game)) (= (ho_829 v ii) (ite (= i ii) e (ho_829 u ii)))))))))) (let ((_let_391 (forall ((x |u_(-> tptp.produc1418842292n_game tptp.trm tptp.char tptp.option_trm)|) (y |u_(-> tptp.produc1418842292n_game tptp.trm tptp.char tptp.option_trm)|)) (or (not (forall ((z tptp.produc1418842292n_game)) (= (ho_829 x z) (ho_829 y z)))) (= x y))))) (let ((_let_392 (forall ((u |u_(-> _u_(-> tptp.game tptp.game tptp.game)_ tptp.game tptp.option_game)|) (e |u_(-> tptp.game tptp.option_game)|) (i |u_(-> tptp.game tptp.game tptp.game)|)) (not (forall ((v |u_(-> _u_(-> tptp.game tptp.game tptp.game)_ tptp.game tptp.option_game)|)) (not (forall ((ii |u_(-> tptp.game tptp.game tptp.game)|)) (= (ho_818 v ii) (ite (= i ii) e (ho_818 u ii)))))))))) (let ((_let_393 (forall ((x |u_(-> _u_(-> tptp.game tptp.game tptp.game)_ tptp.game tptp.option_game)|) (y |u_(-> _u_(-> tptp.game tptp.game tptp.game)_ tptp.game tptp.option_game)|)) (or (not (forall ((z |u_(-> tptp.game tptp.game tptp.game)|)) (= (ho_818 x z) (ho_818 y z)))) (= x y))))) (let ((_let_394 (forall ((u |u_(-> tptp.set_char tptp.set_char tptp.set_char)|) (e |u_(-> tptp.set_char tptp.set_char)|) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char tptp.set_char tptp.set_char)|)) (not (forall ((ii tptp.set_char)) (= (ho_890 v ii) (ite (= i ii) e (ho_890 u ii)))))))))) (let ((_let_395 (forall ((x |u_(-> tptp.set_char tptp.set_char tptp.set_char)|) (y |u_(-> tptp.set_char tptp.set_char tptp.set_char)|)) (or (not (forall ((z tptp.set_char)) (= (ho_890 x z) (ho_890 y z)))) (= x y))))) (let ((_let_396 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (e |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)|)) (= (ho_868 v ii) (ite (= i ii) e (ho_868 u ii)))))))))) (let ((_let_397 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)|)) (= (ho_868 x z) (ho_868 y z)))) (= x y))))) (let ((_let_398 (forall ((u |u_(-> tptp.set_Pr943832262on_trm tptp.char tptp.option_trm Bool)|) (e |u_(-> tptp.char tptp.option_trm Bool)|) (i tptp.set_Pr943832262on_trm)) (not (forall ((v |u_(-> tptp.set_Pr943832262on_trm tptp.char tptp.option_trm Bool)|)) (not (forall ((ii tptp.set_Pr943832262on_trm)) (= (ho_743 v ii) (ite (= i ii) e (ho_743 u ii)))))))))) (let ((_let_399 (forall ((x |u_(-> tptp.set_Pr943832262on_trm tptp.char tptp.option_trm Bool)|) (y |u_(-> tptp.set_Pr943832262on_trm tptp.char tptp.option_trm Bool)|)) (or (not (forall ((z tptp.set_Pr943832262on_trm)) (= (ho_743 x z) (ho_743 y z)))) (= x y))))) (let ((_let_400 (forall ((u |u_(-> _u_(-> tptp.fml tptp.fml tptp.fml)_ tptp.option_fml tptp.fml tptp.option_fml)|) (e |u_(-> tptp.option_fml tptp.fml tptp.option_fml)|) (i |u_(-> tptp.fml tptp.fml tptp.fml)|)) (not (forall ((v |u_(-> _u_(-> tptp.fml tptp.fml tptp.fml)_ tptp.option_fml tptp.fml tptp.option_fml)|)) (not (forall ((ii |u_(-> tptp.fml tptp.fml tptp.fml)|)) (= (ho_815 v ii) (ite (= i ii) e (ho_815 u ii)))))))))) (let ((_let_401 (forall ((x |u_(-> _u_(-> tptp.fml tptp.fml tptp.fml)_ tptp.option_fml tptp.fml tptp.option_fml)|) (y |u_(-> _u_(-> tptp.fml tptp.fml tptp.fml)_ tptp.option_fml tptp.fml tptp.option_fml)|)) (or (not (forall ((z |u_(-> tptp.fml tptp.fml tptp.fml)|)) (= (ho_815 x z) (ho_815 y z)))) (= x y))))) (let ((_let_402 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|) (e |u_(-> tptp.produc62062515n_game Bool)|) (i |u_(-> tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_trm)|)) (= (ho_715 v ii) (ite (= i ii) e (ho_715 u ii)))))))))) (let ((_let_403 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|) (y |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_trm)|)) (= (ho_715 x z) (ho_715 y z)))) (= x y))))) (let ((_let_404 (forall ((u |u_(-> tptp.option_fml tptp.fml tptp.option_fml)|) (e |u_(-> tptp.fml tptp.option_fml)|) (i tptp.option_fml)) (not (forall ((v |u_(-> tptp.option_fml tptp.fml tptp.option_fml)|)) (not (forall ((ii tptp.option_fml)) (= (ho_816 v ii) (ite (= i ii) e (ho_816 u ii)))))))))) (let ((_let_405 (forall ((x |u_(-> tptp.option_fml tptp.fml tptp.option_fml)|) (y |u_(-> tptp.option_fml tptp.fml tptp.option_fml)|)) (or (not (forall ((z tptp.option_fml)) (= (ho_816 x z) (ho_816 y z)))) (= x y))))) (let ((_let_406 (forall ((u |u_(-> tptp.option_game _u_(-> tptp.game tptp.option_game)_ tptp.option_game tptp.option_game)|) (e |u_(-> _u_(-> tptp.game tptp.option_game)_ tptp.option_game tptp.option_game)|) (i tptp.option_game)) (not (forall ((v |u_(-> tptp.option_game _u_(-> tptp.game tptp.option_game)_ tptp.option_game tptp.option_game)|)) (not (forall ((ii tptp.option_game)) (= (ho_802 v ii) (ite (= i ii) e (ho_802 u ii)))))))))) (let ((_let_407 (forall ((x |u_(-> tptp.option_game _u_(-> tptp.game tptp.option_game)_ tptp.option_game tptp.option_game)|) (y |u_(-> tptp.option_game _u_(-> tptp.game tptp.option_game)_ tptp.option_game tptp.option_game)|)) (or (not (forall ((z tptp.option_game)) (= (ho_802 x z) (ho_802 y z)))) (= x y))))) (let ((_let_408 (forall ((u |u_(-> _u_(-> tptp.variable Bool)_ tptp.variable Bool)|) (e |u_(-> tptp.variable Bool)|) (i |u_(-> tptp.variable Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.variable Bool)_ tptp.variable Bool)|)) (not (forall ((ii |u_(-> tptp.variable Bool)|)) (= (ho_885 v ii) (ite (= i ii) e (ho_885 u ii)))))))))) (let ((_let_409 (forall ((x |u_(-> _u_(-> tptp.variable Bool)_ tptp.variable Bool)|) (y |u_(-> _u_(-> tptp.variable Bool)_ tptp.variable Bool)|)) (or (not (forall ((z |u_(-> tptp.variable Bool)|)) (= (ho_885 x z) (ho_885 y z)))) (= x y))))) (let ((_let_410 (forall ((u |u_(-> tptp.option_fml tptp.option_fml)|) (e tptp.option_fml) (i tptp.option_fml)) (not (forall ((v |u_(-> tptp.option_fml tptp.option_fml)|)) (not (forall ((ii tptp.option_fml)) (= (ho_809 v ii) (ite (= i ii) e (ho_809 u ii)))))))))) (let ((_let_411 (forall ((x |u_(-> tptp.option_fml tptp.option_fml)|) (y |u_(-> tptp.option_fml tptp.option_fml)|)) (or (not (forall ((z tptp.option_fml)) (= (ho_809 x z) (ho_809 y z)))) (= x y))))) (let ((_let_412 (forall ((u |u_(-> _u_(-> tptp.variable Bool)_ tptp.set_variable)|) (e tptp.set_variable) (i |u_(-> tptp.variable Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.variable Bool)_ tptp.set_variable)|)) (not (forall ((ii |u_(-> tptp.variable Bool)|)) (= (ho_834 v ii) (ite (= i ii) e (ho_834 u ii)))))))))) (let ((_let_413 (forall ((x |u_(-> _u_(-> tptp.variable Bool)_ tptp.set_variable)|) (y |u_(-> _u_(-> tptp.variable Bool)_ tptp.set_variable)|)) (or (not (forall ((z |u_(-> tptp.variable Bool)|)) (= (ho_834 x z) (ho_834 y z)))) (= x y))))) (let ((_let_414 (forall ((u |u_(-> _u_(-> tptp.produc1418842292n_game tptp.char tptp.option_fml)_ tptp.produc1418842292n_game tptp.char tptp.option_fml)|) (e |u_(-> tptp.produc1418842292n_game tptp.char tptp.option_fml)|) (i |u_(-> tptp.produc1418842292n_game tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc1418842292n_game tptp.char tptp.option_fml)_ tptp.produc1418842292n_game tptp.char tptp.option_fml)|)) (not (forall ((ii |u_(-> tptp.produc1418842292n_game tptp.char tptp.option_fml)|)) (= (ho_780 v ii) (ite (= i ii) e (ho_780 u ii)))))))))) (let ((_let_415 (forall ((x |u_(-> _u_(-> tptp.produc1418842292n_game tptp.char tptp.option_fml)_ tptp.produc1418842292n_game tptp.char tptp.option_fml)|) (y |u_(-> _u_(-> tptp.produc1418842292n_game tptp.char tptp.option_fml)_ tptp.produc1418842292n_game tptp.char tptp.option_fml)|)) (or (not (forall ((z |u_(-> tptp.produc1418842292n_game tptp.char tptp.option_fml)|)) (= (ho_780 x z) (ho_780 y z)))) (= x y))))) (let ((_let_416 (forall ((u |u_(-> tptp.option_trm tptp.option_trm tptp.option_fml)|) (e |u_(-> tptp.option_trm tptp.option_fml)|) (i tptp.option_trm)) (not (forall ((v |u_(-> tptp.option_trm tptp.option_trm tptp.option_fml)|)) (not (forall ((ii tptp.option_trm)) (= (ho_1070 v ii) (ite (= i ii) e (ho_1070 u ii)))))))))) (let ((_let_417 (forall ((x |u_(-> tptp.option_trm tptp.option_trm tptp.option_fml)|) (y |u_(-> tptp.option_trm tptp.option_trm tptp.option_fml)|)) (or (not (forall ((z tptp.option_trm)) (= (ho_1070 x z) (ho_1070 y z)))) (= x y))))) (let ((_let_418 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|) (e |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|) (i |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|)) (= (ho_571 v ii) (ite (= i ii) e (ho_571 u ii)))))))))) (let ((_let_419 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|)) (= (ho_571 x z) (ho_571 y z)))) (= x y))))) (let ((_let_420 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|) (e |u_(-> tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (= (ho_565 v ii) (ite (= i ii) e (ho_565 u ii)))))))))) (let ((_let_421 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (= (ho_565 x z) (ho_565 y z)))) (= x y))))) (let ((_let_422 (forall ((u |u_(-> _u_(-> tptp.produc62062515n_game tptp.char tptp.option_fml)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (e |u_(-> tptp.produc62062515n_game tptp.char tptp.option_fml)|) (i |u_(-> tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc62062515n_game tptp.char tptp.option_fml)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (not (forall ((ii |u_(-> tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (= (ho_776 v ii) (ite (= i ii) e (ho_776 u ii)))))))))) (let ((_let_423 (forall ((x |u_(-> _u_(-> tptp.produc62062515n_game tptp.char tptp.option_fml)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (y |u_(-> _u_(-> tptp.produc62062515n_game tptp.char tptp.option_fml)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (or (not (forall ((z |u_(-> tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (= (ho_776 x z) (ho_776 y z)))) (= x y))))) (let ((_let_424 (forall ((u |u_(-> _u_(-> tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (e |u_(-> tptp.produc799602994n_game tptp.char tptp.option_trm)|) (i |u_(-> tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (not (forall ((ii |u_(-> tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (= (ho_774 v ii) (ite (= i ii) e (ho_774 u ii)))))))))) (let ((_let_425 (forall ((x |u_(-> _u_(-> tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (y |u_(-> _u_(-> tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (or (not (forall ((z |u_(-> tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (= (ho_774 x z) (ho_774 y z)))) (= x y))))) (let ((_let_426 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)_ tptp.produc1418842292n_game tptp.char tptp.option_fml)|) (e |u_(-> tptp.produc1418842292n_game tptp.char tptp.option_fml)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)_ tptp.produc1418842292n_game tptp.char tptp.option_fml)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (= (ho_770 v ii) (ite (= i ii) e (ho_770 u ii)))))))))) (let ((_let_427 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)_ tptp.produc1418842292n_game tptp.char tptp.option_fml)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)_ tptp.produc1418842292n_game tptp.char tptp.option_fml)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (= (ho_770 x z) (ho_770 y z)))) (= x y))))) (let ((_let_428 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)_ tptp.produc1418842292n_game tptp.option_fml)|) (e |u_(-> tptp.produc1418842292n_game tptp.option_fml)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)_ tptp.produc1418842292n_game tptp.option_fml)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|)) (= (ho_767 v ii) (ite (= i ii) e (ho_767 u ii)))))))))) (let ((_let_429 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)_ tptp.produc1418842292n_game tptp.option_fml)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)_ tptp.produc1418842292n_game tptp.option_fml)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|)) (= (ho_767 x z) (ho_767 y z)))) (= x y))))) (let ((_let_430 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|) (e |u_(-> tptp.produc62062515n_game tptp.char tptp.option_trm)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (= (ho_765 v ii) (ite (= i ii) e (ho_765 u ii)))))))))) (let ((_let_431 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (= (ho_765 x z) (ho_765 y z)))) (= x y))))) (let ((_let_432 (forall ((u |u_(-> Bool Bool Bool Bool tptp.char)|) (e |u_(-> Bool Bool Bool tptp.char)|) (i Bool)) (not (forall ((v |u_(-> Bool Bool Bool Bool tptp.char)|)) (not (forall ((ii Bool)) (= (ho_654 v ii) (ite (= i ii) e (ho_654 u ii)))))))))) (let ((_let_433 (forall ((x |u_(-> Bool Bool Bool Bool tptp.char)|) (y |u_(-> Bool Bool Bool Bool tptp.char)|)) (or (not (forall ((z Bool)) (= (ho_654 x z) (ho_654 y z)))) (= x y))))) (let ((_let_434 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (e |u_(-> tptp.produc62062515n_game tptp.char tptp.option_fml)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (= (ho_763 v ii) (ite (= i ii) e (ho_763 u ii)))))))))) (let ((_let_435 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (= (ho_763 x z) (ho_763 y z)))) (= x y))))) (let ((_let_436 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|) (e |u_(-> tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|) (i |u_(-> tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_trm)|)) (= (ho_387 v ii) (ite (= i ii) e (ho_387 u ii)))))))))) (let ((_let_437 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|) (y |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_trm)|)) (= (ho_387 x z) (ho_387 y z)))) (= x y))))) (let ((_let_438 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (e |u_(-> tptp.produc799602994n_game tptp.char tptp.option_trm)|) (i |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|)) (= (ho_761 v ii) (ite (= i ii) e (ho_761 u ii)))))))))) (let ((_let_439 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|)) (= (ho_761 x z) (ho_761 y z)))) (= x y))))) (let ((_let_440 (forall ((u |u_(-> Bool Bool Bool Bool Bool Bool Bool tptp.char)|) (e |u_(-> Bool Bool Bool Bool Bool Bool tptp.char)|) (i Bool)) (not (forall ((v |u_(-> Bool Bool Bool Bool Bool Bool Bool tptp.char)|)) (not (forall ((ii Bool)) (= (ho_651 v ii) (ite (= i ii) e (ho_651 u ii)))))))))) (let ((_let_441 (forall ((x |u_(-> Bool Bool Bool Bool Bool Bool Bool tptp.char)|) (y |u_(-> Bool Bool Bool Bool Bool Bool Bool tptp.char)|)) (or (not (forall ((z Bool)) (= (ho_651 x z) (ho_651 y z)))) (= x y))))) (let ((_let_442 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (e |u_(-> tptp.produc799602994n_game tptp.char tptp.option_fml)|) (i |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|)) (= (ho_759 v ii) (ite (= i ii) e (ho_759 u ii)))))))))) (let ((_let_443 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|)) (= (ho_759 x z) (ho_759 y z)))) (= x y))))) (let ((_let_444 (forall ((u |u_(-> tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|) (e |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|) (i tptp.char)) (not (forall ((v |u_(-> tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|)) (not (forall ((ii tptp.char)) (= (ho_398 v ii) (ite (= i ii) e (ho_398 u ii)))))))))) (let ((_let_445 (forall ((x |u_(-> tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|) (y |u_(-> tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|)) (or (not (forall ((z tptp.char)) (= (ho_398 x z) (ho_398 y z)))) (= x y))))) (let ((_let_446 (forall ((u |u_(-> tptp.option_game tptp.option_game Bool)|) (e |u_(-> tptp.option_game Bool)|) (i tptp.option_game)) (not (forall ((v |u_(-> tptp.option_game tptp.option_game Bool)|)) (not (forall ((ii tptp.option_game)) (= (ho_1056 v ii) (ite (= i ii) e (ho_1056 u ii)))))))))) (let ((_let_447 (forall ((x |u_(-> tptp.option_game tptp.option_game Bool)|) (y |u_(-> tptp.option_game tptp.option_game Bool)|)) (or (not (forall ((z tptp.option_game)) (= (ho_1056 x z) (ho_1056 y z)))) (= x y))))) (let ((_let_448 (forall ((u |u_(-> tptp.set_Pr943832262on_trm tptp.set_Pr943832262on_trm tptp.set_Pr943832262on_trm)|) (e |u_(-> tptp.set_Pr943832262on_trm tptp.set_Pr943832262on_trm)|) (i tptp.set_Pr943832262on_trm)) (not (forall ((v |u_(-> tptp.set_Pr943832262on_trm tptp.set_Pr943832262on_trm tptp.set_Pr943832262on_trm)|)) (not (forall ((ii tptp.set_Pr943832262on_trm)) (= (ho_756 v ii) (ite (= i ii) e (ho_756 u ii)))))))))) (let ((_let_449 (forall ((x |u_(-> tptp.set_Pr943832262on_trm tptp.set_Pr943832262on_trm tptp.set_Pr943832262on_trm)|) (y |u_(-> tptp.set_Pr943832262on_trm tptp.set_Pr943832262on_trm tptp.set_Pr943832262on_trm)|)) (or (not (forall ((z tptp.set_Pr943832262on_trm)) (= (ho_756 x z) (ho_756 y z)))) (= x y))))) (let ((_let_450 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|) (e |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|) (i |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|)) (= (ho_787 v ii) (ite (= i ii) e (ho_787 u ii)))))))))) (let ((_let_451 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|)) (= (ho_787 x z) (ho_787 y z)))) (= x y))))) (let ((_let_452 (forall ((u |u_(-> tptp.set_Pr720454634n_game tptp.set_Pr720454634n_game)|) (e tptp.set_Pr720454634n_game) (i tptp.set_Pr720454634n_game)) (not (forall ((v |u_(-> tptp.set_Pr720454634n_game tptp.set_Pr720454634n_game)|)) (not (forall ((ii tptp.set_Pr720454634n_game)) (= (ho_725 v ii) (ite (= i ii) e (ho_725 u ii)))))))))) (let ((_let_453 (forall ((x |u_(-> tptp.set_Pr720454634n_game tptp.set_Pr720454634n_game)|) (y |u_(-> tptp.set_Pr720454634n_game tptp.set_Pr720454634n_game)|)) (or (not (forall ((z tptp.set_Pr720454634n_game)) (= (ho_725 x z) (ho_725 y z)))) (= x y))))) (let ((_let_454 (forall ((u |u_(-> tptp.set_Pr943832262on_trm tptp.set_Pr943832262on_trm tptp.char tptp.option_trm Bool)|) (e |u_(-> tptp.set_Pr943832262on_trm tptp.char tptp.option_trm Bool)|) (i tptp.set_Pr943832262on_trm)) (not (forall ((v |u_(-> tptp.set_Pr943832262on_trm tptp.set_Pr943832262on_trm tptp.char tptp.option_trm Bool)|)) (not (forall ((ii tptp.set_Pr943832262on_trm)) (= (ho_754 v ii) (ite (= i ii) e (ho_754 u ii)))))))))) (let ((_let_455 (forall ((x |u_(-> tptp.set_Pr943832262on_trm tptp.set_Pr943832262on_trm tptp.char tptp.option_trm Bool)|) (y |u_(-> tptp.set_Pr943832262on_trm tptp.set_Pr943832262on_trm tptp.char tptp.option_trm Bool)|)) (or (not (forall ((z tptp.set_Pr943832262on_trm)) (= (ho_754 x z) (ho_754 y z)))) (= x y))))) (let ((_let_456 (forall ((u |u_(-> tptp.set_Pr739694057n_game tptp.set_Pr739694057n_game tptp.set_Pr739694057n_game)|) (e |u_(-> tptp.set_Pr739694057n_game tptp.set_Pr739694057n_game)|) (i tptp.set_Pr739694057n_game)) (not (forall ((v |u_(-> tptp.set_Pr739694057n_game tptp.set_Pr739694057n_game tptp.set_Pr739694057n_game)|)) (not (forall ((ii tptp.set_Pr739694057n_game)) (= (ho_711 v ii) (ite (= i ii) e (ho_711 u ii)))))))))) (let ((_let_457 (forall ((x |u_(-> tptp.set_Pr739694057n_game tptp.set_Pr739694057n_game tptp.set_Pr739694057n_game)|) (y |u_(-> tptp.set_Pr739694057n_game tptp.set_Pr739694057n_game tptp.set_Pr739694057n_game)|)) (or (not (forall ((z tptp.set_Pr739694057n_game)) (= (ho_711 x z) (ho_711 y z)))) (= x y))))) (let ((_let_458 (forall ((u |u_(-> tptp.produc464795408on_trm tptp.set_Pr943832262on_trm Bool)|) (e |u_(-> tptp.set_Pr943832262on_trm Bool)|) (i tptp.produc464795408on_trm)) (not (forall ((v |u_(-> tptp.produc464795408on_trm tptp.set_Pr943832262on_trm Bool)|)) (not (forall ((ii tptp.produc464795408on_trm)) (= (ho_750 v ii) (ite (= i ii) e (ho_750 u ii)))))))))) (let ((_let_459 (forall ((x |u_(-> tptp.produc464795408on_trm tptp.set_Pr943832262on_trm Bool)|) (y |u_(-> tptp.produc464795408on_trm tptp.set_Pr943832262on_trm Bool)|)) (or (not (forall ((z tptp.produc464795408on_trm)) (= (ho_750 x z) (ho_750 y z)))) (= x y))))) (let ((_let_460 (forall ((u |u_(-> tptp.option_trm Bool)|) (e Bool) (i tptp.option_trm)) (not (forall ((v |u_(-> tptp.option_trm Bool)|)) (not (forall ((ii tptp.option_trm)) (= (ho_745 v ii) (ite (= i ii) e (ho_745 u ii)))))))))) (let ((_let_461 (forall ((x |u_(-> tptp.option_trm Bool)|) (y |u_(-> tptp.option_trm Bool)|)) (or (not (forall ((z tptp.option_trm)) (= (ho_745 x z) (ho_745 y z)))) (= x y))))) (let ((_let_462 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (e |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (= (ho_793 v ii) (ite (= i ii) e (ho_793 u ii)))))))))) (let ((_let_463 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (= (ho_793 x z) (ho_793 y z)))) (= x y))))) (let ((_let_464 (forall ((u |u_(-> tptp.char tptp.option_trm Bool)|) (e |u_(-> tptp.option_trm Bool)|) (i tptp.char)) (not (forall ((v |u_(-> tptp.char tptp.option_trm Bool)|)) (not (forall ((ii tptp.char)) (= (ho_744 v ii) (ite (= i ii) e (ho_744 u ii)))))))))) (let ((_let_465 (forall ((x |u_(-> tptp.char tptp.option_trm Bool)|) (y |u_(-> tptp.char tptp.option_trm Bool)|)) (or (not (forall ((z tptp.char)) (= (ho_744 x z) (ho_744 y z)))) (= x y))))) (let ((_let_466 (forall ((u |u_(-> _u_(-> tptp.game Bool)_ tptp.option_game Bool)|) (e |u_(-> tptp.option_game Bool)|) (i |u_(-> tptp.game Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.game Bool)_ tptp.option_game Bool)|)) (not (forall ((ii |u_(-> tptp.game Bool)|)) (= (ho_1048 v ii) (ite (= i ii) e (ho_1048 u ii)))))))))) (let ((_let_467 (forall ((x |u_(-> _u_(-> tptp.game Bool)_ tptp.option_game Bool)|) (y |u_(-> _u_(-> tptp.game Bool)_ tptp.option_game Bool)|)) (or (not (forall ((z |u_(-> tptp.game Bool)|)) (= (ho_1048 x z) (ho_1048 y z)))) (= x y))))) (let ((_let_468 (forall ((u |u_(-> tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|) (e |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|) (i tptp.char)) (not (forall ((v |u_(-> tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|)) (not (forall ((ii tptp.char)) (= (ho_388 v ii) (ite (= i ii) e (ho_388 u ii)))))))))) (let ((_let_469 (forall ((x |u_(-> tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|) (y |u_(-> tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|)) (or (not (forall ((z tptp.char)) (= (ho_388 x z) (ho_388 y z)))) (= x y))))) (let ((_let_470 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|) (e |u_(-> tptp.char tptp.option_fml)|) (i |u_(-> tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_fml)|)) (= (ho_538 v ii) (ite (= i ii) e (ho_538 u ii)))))))))) (let ((_let_471 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|) (y |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_fml)|)) (= (ho_538 x z) (ho_538 y z)))) (= x y))))) (let ((_let_472 (forall ((u |u_(-> tptp.produc1072747943on_trm tptp.produc1072747943on_trm Bool)|) (e |u_(-> tptp.produc1072747943on_trm Bool)|) (i tptp.produc1072747943on_trm)) (not (forall ((v |u_(-> tptp.produc1072747943on_trm tptp.produc1072747943on_trm Bool)|)) (not (forall ((ii tptp.produc1072747943on_trm)) (= (ho_1162 v ii) (ite (= i ii) e (ho_1162 u ii)))))))))) (let ((_let_473 (forall ((x |u_(-> tptp.produc1072747943on_trm tptp.produc1072747943on_trm Bool)|) (y |u_(-> tptp.produc1072747943on_trm tptp.produc1072747943on_trm Bool)|)) (or (not (forall ((z tptp.produc1072747943on_trm)) (= (ho_1162 x z) (ho_1162 y z)))) (= x y))))) (let ((_let_474 (forall ((u |u_(-> tptp.set_Pr1235432374le_trm tptp.set_Pr1235432374le_trm tptp.set_Pr1235432374le_trm)|) (e |u_(-> tptp.set_Pr1235432374le_trm tptp.set_Pr1235432374le_trm)|) (i tptp.set_Pr1235432374le_trm)) (not (forall ((v |u_(-> tptp.set_Pr1235432374le_trm tptp.set_Pr1235432374le_trm tptp.set_Pr1235432374le_trm)|)) (not (forall ((ii tptp.set_Pr1235432374le_trm)) (= (ho_740 v ii) (ite (= i ii) e (ho_740 u ii)))))))))) (let ((_let_475 (forall ((x |u_(-> tptp.set_Pr1235432374le_trm tptp.set_Pr1235432374le_trm tptp.set_Pr1235432374le_trm)|) (y |u_(-> tptp.set_Pr1235432374le_trm tptp.set_Pr1235432374le_trm tptp.set_Pr1235432374le_trm)|)) (or (not (forall ((z tptp.set_Pr1235432374le_trm)) (= (ho_740 x z) (ho_740 y z)))) (= x y))))) (let ((_let_476 (forall ((u |u_(-> tptp.set_variable tptp.set_variable)|) (e tptp.set_variable) (i tptp.set_variable)) (not (forall ((v |u_(-> tptp.set_variable tptp.set_variable)|)) (not (forall ((ii tptp.set_variable)) (= (ho_888 v ii) (ite (= i ii) e (ho_888 u ii)))))))))) (let ((_let_477 (forall ((x |u_(-> tptp.set_variable tptp.set_variable)|) (y |u_(-> tptp.set_variable tptp.set_variable)|)) (or (not (forall ((z tptp.set_variable)) (= (ho_888 x z) (ho_888 y z)))) (= x y))))) (let ((_let_478 (forall ((u |u_(-> tptp.fml tptp.fml)|) (e tptp.fml) (i tptp.fml)) (not (forall ((v |u_(-> tptp.fml tptp.fml)|)) (not (forall ((ii tptp.fml)) (= (ho_515 v ii) (ite (= i ii) e (ho_515 u ii)))))))))) (let ((_let_479 (forall ((x |u_(-> tptp.fml tptp.fml)|) (y |u_(-> tptp.fml tptp.fml)|)) (or (not (forall ((z tptp.fml)) (= (ho_515 x z) (ho_515 y z)))) (= x y))))) (let ((_let_480 (forall ((u |u_(-> Bool _u_(-> tptp.fml Bool)_ tptp.option_fml Bool)|) (e |u_(-> _u_(-> tptp.fml Bool)_ tptp.option_fml Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> tptp.fml Bool)_ tptp.option_fml Bool)|)) (not (forall ((ii Bool)) (= (ho_1044 v ii) (ite (= i ii) e (ho_1044 u ii)))))))))) (let ((_let_481 (forall ((x |u_(-> Bool _u_(-> tptp.fml Bool)_ tptp.option_fml Bool)|) (y |u_(-> Bool _u_(-> tptp.fml Bool)_ tptp.option_fml Bool)|)) (or (not (forall ((z Bool)) (= (ho_1044 x z) (ho_1044 y z)))) (= x y))))) (let ((_let_482 (forall ((u |u_(-> tptp.set_Pr1235432374le_trm tptp.set_Pr1235432374le_trm tptp.set_variable tptp.trm Bool)|) (e |u_(-> tptp.set_Pr1235432374le_trm tptp.set_variable tptp.trm Bool)|) (i tptp.set_Pr1235432374le_trm)) (not (forall ((v |u_(-> tptp.set_Pr1235432374le_trm tptp.set_Pr1235432374le_trm tptp.set_variable tptp.trm Bool)|)) (not (forall ((ii tptp.set_Pr1235432374le_trm)) (= (ho_738 v ii) (ite (= i ii) e (ho_738 u ii)))))))))) (let ((_let_483 (forall ((x |u_(-> tptp.set_Pr1235432374le_trm tptp.set_Pr1235432374le_trm tptp.set_variable tptp.trm Bool)|) (y |u_(-> tptp.set_Pr1235432374le_trm tptp.set_Pr1235432374le_trm tptp.set_variable tptp.trm Bool)|)) (or (not (forall ((z tptp.set_Pr1235432374le_trm)) (= (ho_738 x z) (ho_738 y z)))) (= x y))))) (let ((_let_484 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|) (e |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|) (i |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|)) (= (ho_789 v ii) (ite (= i ii) e (ho_789 u ii)))))))))) (let ((_let_485 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|)) (= (ho_789 x z) (ho_789 y z)))) (= x y))))) (let ((_let_486 (forall ((u |u_(-> tptp.set_Pr720454634n_game Bool)|) (e Bool) (i tptp.set_Pr720454634n_game)) (not (forall ((v |u_(-> tptp.set_Pr720454634n_game Bool)|)) (not (forall ((ii tptp.set_Pr720454634n_game)) (= (ho_719 v ii) (ite (= i ii) e (ho_719 u ii)))))))))) (let ((_let_487 (forall ((x |u_(-> tptp.set_Pr720454634n_game Bool)|) (y |u_(-> tptp.set_Pr720454634n_game Bool)|)) (or (not (forall ((z tptp.set_Pr720454634n_game)) (= (ho_719 x z) (ho_719 y z)))) (= x y))))) (let ((_let_488 (forall ((u |u_(-> tptp.set_Pr1235432374le_trm tptp.set_Pr1235432374le_trm)|) (e tptp.set_Pr1235432374le_trm) (i tptp.set_Pr1235432374le_trm)) (not (forall ((v |u_(-> tptp.set_Pr1235432374le_trm tptp.set_Pr1235432374le_trm)|)) (not (forall ((ii tptp.set_Pr1235432374le_trm)) (= (ho_741 v ii) (ite (= i ii) e (ho_741 u ii)))))))))) (let ((_let_489 (forall ((x |u_(-> tptp.set_Pr1235432374le_trm tptp.set_Pr1235432374le_trm)|) (y |u_(-> tptp.set_Pr1235432374le_trm tptp.set_Pr1235432374le_trm)|)) (or (not (forall ((z tptp.set_Pr1235432374le_trm)) (= (ho_741 x z) (ho_741 y z)))) (= x y))))) (let ((_let_490 (forall ((u |u_(-> tptp.produc1418842292n_game tptp.option_fml)|) (e tptp.option_fml) (i tptp.produc1418842292n_game)) (not (forall ((v |u_(-> tptp.produc1418842292n_game tptp.option_fml)|)) (not (forall ((ii tptp.produc1418842292n_game)) (= (ho_768 v ii) (ite (= i ii) e (ho_768 u ii)))))))))) (let ((_let_491 (forall ((x |u_(-> tptp.produc1418842292n_game tptp.option_fml)|) (y |u_(-> tptp.produc1418842292n_game tptp.option_fml)|)) (or (not (forall ((z tptp.produc1418842292n_game)) (= (ho_768 x z) (ho_768 y z)))) (= x y))))) (let ((_let_492 (forall ((u |u_(-> _u_(-> tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (e |u_(-> tptp.produc799602994n_game tptp.char tptp.option_fml)|) (i |u_(-> tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (not (forall ((ii |u_(-> tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (= (ho_772 v ii) (ite (= i ii) e (ho_772 u ii)))))))))) (let ((_let_493 (forall ((x |u_(-> _u_(-> tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (y |u_(-> _u_(-> tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (or (not (forall ((z |u_(-> tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (= (ho_772 x z) (ho_772 y z)))) (= x y))))) (let ((_let_494 (forall ((u |u_(-> tptp.produc1367888000le_trm tptp.set_Pr1235432374le_trm Bool)|) (e |u_(-> tptp.set_Pr1235432374le_trm Bool)|) (i tptp.produc1367888000le_trm)) (not (forall ((v |u_(-> tptp.produc1367888000le_trm tptp.set_Pr1235432374le_trm Bool)|)) (not (forall ((ii tptp.produc1367888000le_trm)) (= (ho_734 v ii) (ite (= i ii) e (ho_734 u ii)))))))))) (let ((_let_495 (forall ((x |u_(-> tptp.produc1367888000le_trm tptp.set_Pr1235432374le_trm Bool)|) (y |u_(-> tptp.produc1367888000le_trm tptp.set_Pr1235432374le_trm Bool)|)) (or (not (forall ((z tptp.produc1367888000le_trm)) (= (ho_734 x z) (ho_734 y z)))) (= x y))))) (let ((_let_496 (forall ((u |u_(-> tptp.set_variable tptp.trm tptp.produc1367888000le_trm)|) (e |u_(-> tptp.trm tptp.produc1367888000le_trm)|) (i tptp.set_variable)) (not (forall ((v |u_(-> tptp.set_variable tptp.trm tptp.produc1367888000le_trm)|)) (not (forall ((ii tptp.set_variable)) (= (ho_731 v ii) (ite (= i ii) e (ho_731 u ii)))))))))) (let ((_let_497 (forall ((x |u_(-> tptp.set_variable tptp.trm tptp.produc1367888000le_trm)|) (y |u_(-> tptp.set_variable tptp.trm tptp.produc1367888000le_trm)|)) (or (not (forall ((z tptp.set_variable)) (= (ho_731 x z) (ho_731 y z)))) (= x y))))) (let ((_let_498 (forall ((u |u_(-> tptp.set_variable tptp.set_variable tptp.set_variable)|) (e |u_(-> tptp.set_variable tptp.set_variable)|) (i tptp.set_variable)) (not (forall ((v |u_(-> tptp.set_variable tptp.set_variable tptp.set_variable)|)) (not (forall ((ii tptp.set_variable)) (= (ho_887 v ii) (ite (= i ii) e (ho_887 u ii)))))))))) (let ((_let_499 (forall ((x |u_(-> tptp.set_variable tptp.set_variable tptp.set_variable)|) (y |u_(-> tptp.set_variable tptp.set_variable tptp.set_variable)|)) (or (not (forall ((z tptp.set_variable)) (= (ho_887 x z) (ho_887 y z)))) (= x y))))) (let ((_let_500 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (e |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (= (ho_791 v ii) (ite (= i ii) e (ho_791 u ii)))))))))) (let ((_let_501 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (= (ho_791 x z) (ho_791 y z)))) (= x y))))) (let ((_let_502 (forall ((u |u_(-> tptp.set_Pr1235432374le_trm Bool)|) (e Bool) (i tptp.set_Pr1235432374le_trm)) (not (forall ((v |u_(-> tptp.set_Pr1235432374le_trm Bool)|)) (not (forall ((ii tptp.set_Pr1235432374le_trm)) (= (ho_735 v ii) (ite (= i ii) e (ho_735 u ii)))))))))) (let ((_let_503 (forall ((x |u_(-> tptp.set_Pr1235432374le_trm Bool)|) (y |u_(-> tptp.set_Pr1235432374le_trm Bool)|)) (or (not (forall ((z tptp.set_Pr1235432374le_trm)) (= (ho_735 x z) (ho_735 y z)))) (= x y))))) (let ((_let_504 (forall ((u |u_(-> tptp.set_variable tptp.trm Bool)|) (e |u_(-> tptp.trm Bool)|) (i tptp.set_variable)) (not (forall ((v |u_(-> tptp.set_variable tptp.trm Bool)|)) (not (forall ((ii tptp.set_variable)) (= (ho_728 v ii) (ite (= i ii) e (ho_728 u ii)))))))))) (let ((_let_505 (forall ((x |u_(-> tptp.set_variable tptp.trm Bool)|) (y |u_(-> tptp.set_variable tptp.trm Bool)|)) (or (not (forall ((z tptp.set_variable)) (= (ho_728 x z) (ho_728 y z)))) (= x y))))) (let ((_let_506 (forall ((u |u_(-> tptp.option_game tptp.game tptp.option_game)|) (e |u_(-> tptp.game tptp.option_game)|) (i tptp.option_game)) (not (forall ((v |u_(-> tptp.option_game tptp.game tptp.option_game)|)) (not (forall ((ii tptp.option_game)) (= (ho_813 v ii) (ite (= i ii) e (ho_813 u ii)))))))))) (let ((_let_507 (forall ((x |u_(-> tptp.option_game tptp.game tptp.option_game)|) (y |u_(-> tptp.option_game tptp.game tptp.option_game)|)) (or (not (forall ((z tptp.option_game)) (= (ho_813 x z) (ho_813 y z)))) (= x y))))) (let ((_let_508 (forall ((u |u_(-> tptp.trm Bool)|) (e Bool) (i tptp.trm)) (not (forall ((v |u_(-> tptp.trm Bool)|)) (not (forall ((ii tptp.trm)) (= (ho_729 v ii) (ite (= i ii) e (ho_729 u ii)))))))))) (let ((_let_509 (forall ((x |u_(-> tptp.trm Bool)|) (y |u_(-> tptp.trm Bool)|)) (or (not (forall ((z tptp.trm)) (= (ho_729 x z) (ho_729 y z)))) (= x y))))) (let ((_let_510 (forall ((u |u_(-> tptp.set_Pr720454634n_game tptp.set_Pr720454634n_game tptp.set_Pr720454634n_game)|) (e |u_(-> tptp.set_Pr720454634n_game tptp.set_Pr720454634n_game)|) (i tptp.set_Pr720454634n_game)) (not (forall ((v |u_(-> tptp.set_Pr720454634n_game tptp.set_Pr720454634n_game tptp.set_Pr720454634n_game)|)) (not (forall ((ii tptp.set_Pr720454634n_game)) (= (ho_724 v ii) (ite (= i ii) e (ho_724 u ii)))))))))) (let ((_let_511 (forall ((x |u_(-> tptp.set_Pr720454634n_game tptp.set_Pr720454634n_game tptp.set_Pr720454634n_game)|) (y |u_(-> tptp.set_Pr720454634n_game tptp.set_Pr720454634n_game tptp.set_Pr720454634n_game)|)) (or (not (forall ((z tptp.set_Pr720454634n_game)) (= (ho_724 x z) (ho_724 y z)))) (= x y))))) (let ((_let_512 (forall ((u |u_(-> tptp.produc464795408on_trm Bool)|) (e Bool) (i tptp.produc464795408on_trm)) (not (forall ((v |u_(-> tptp.produc464795408on_trm Bool)|)) (not (forall ((ii tptp.produc464795408on_trm)) (= (ho_1086 v ii) (ite (= i ii) e (ho_1086 u ii)))))))))) (let ((_let_513 (forall ((x |u_(-> tptp.produc464795408on_trm Bool)|) (y |u_(-> tptp.produc464795408on_trm Bool)|)) (or (not (forall ((z tptp.produc464795408on_trm)) (= (ho_1086 x z) (ho_1086 y z)))) (= x y))))) (let ((_let_514 (forall ((u |u_(-> tptp.set_Pr720454634n_game tptp.set_Pr720454634n_game _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|) (e |u_(-> tptp.set_Pr720454634n_game _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|) (i tptp.set_Pr720454634n_game)) (not (forall ((v |u_(-> tptp.set_Pr720454634n_game tptp.set_Pr720454634n_game _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|)) (not (forall ((ii tptp.set_Pr720454634n_game)) (= (ho_722 v ii) (ite (= i ii) e (ho_722 u ii)))))))))) (let ((_let_515 (forall ((x |u_(-> tptp.set_Pr720454634n_game tptp.set_Pr720454634n_game _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|) (y |u_(-> tptp.set_Pr720454634n_game tptp.set_Pr720454634n_game _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|)) (or (not (forall ((z tptp.set_Pr720454634n_game)) (= (ho_722 x z) (ho_722 y z)))) (= x y))))) (let ((_let_516 (forall ((u |u_(-> tptp.produc1418842292n_game tptp.set_Pr720454634n_game Bool)|) (e |u_(-> tptp.set_Pr720454634n_game Bool)|) (i tptp.produc1418842292n_game)) (not (forall ((v |u_(-> tptp.produc1418842292n_game tptp.set_Pr720454634n_game Bool)|)) (not (forall ((ii tptp.produc1418842292n_game)) (= (ho_718 v ii) (ite (= i ii) e (ho_718 u ii)))))))))) (let ((_let_517 (forall ((x |u_(-> tptp.produc1418842292n_game tptp.set_Pr720454634n_game Bool)|) (y |u_(-> tptp.produc1418842292n_game tptp.set_Pr720454634n_game Bool)|)) (or (not (forall ((z tptp.produc1418842292n_game)) (= (ho_718 x z) (ho_718 y z)))) (= x y))))) (let ((_let_518 (forall ((u |u_(-> tptp.set_Pr720454634n_game _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|) (e |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|) (i tptp.set_Pr720454634n_game)) (not (forall ((v |u_(-> tptp.set_Pr720454634n_game _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|)) (not (forall ((ii tptp.set_Pr720454634n_game)) (= (ho_714 v ii) (ite (= i ii) e (ho_714 u ii)))))))))) (let ((_let_519 (forall ((x |u_(-> tptp.set_Pr720454634n_game _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|) (y |u_(-> tptp.set_Pr720454634n_game _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|)) (or (not (forall ((z tptp.set_Pr720454634n_game)) (= (ho_714 x z) (ho_714 y z)))) (= x y))))) (let ((_let_520 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_fml)_ Bool)|) (e Bool) (i |u_(-> tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_fml)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_fml)|)) (= (ho_1120 v ii) (ite (= i ii) e (ho_1120 u ii)))))))))) (let ((_let_521 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_fml)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.option_fml)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_fml)|)) (= (ho_1120 x z) (ho_1120 y z)))) (= x y))))) (let ((_let_522 (forall ((u |u_(-> tptp.option_fml _u_(-> tptp.fml tptp.option_fml)_ tptp.option_fml tptp.option_fml)|) (e |u_(-> _u_(-> tptp.fml tptp.option_fml)_ tptp.option_fml tptp.option_fml)|) (i tptp.option_fml)) (not (forall ((v |u_(-> tptp.option_fml _u_(-> tptp.fml tptp.option_fml)_ tptp.option_fml tptp.option_fml)|)) (not (forall ((ii tptp.option_fml)) (= (ho_807 v ii) (ite (= i ii) e (ho_807 u ii)))))))))) (let ((_let_523 (forall ((x |u_(-> tptp.option_fml _u_(-> tptp.fml tptp.option_fml)_ tptp.option_fml tptp.option_fml)|) (y |u_(-> tptp.option_fml _u_(-> tptp.fml tptp.option_fml)_ tptp.option_fml tptp.option_fml)|)) (or (not (forall ((z tptp.option_fml)) (= (ho_807 x z) (ho_807 y z)))) (= x y))))) (let ((_let_524 (forall ((u |u_(-> tptp.set_Pr1235432374le_trm tptp.set_variable tptp.trm Bool)|) (e |u_(-> tptp.set_variable tptp.trm Bool)|) (i tptp.set_Pr1235432374le_trm)) (not (forall ((v |u_(-> tptp.set_Pr1235432374le_trm tptp.set_variable tptp.trm Bool)|)) (not (forall ((ii tptp.set_Pr1235432374le_trm)) (= (ho_727 v ii) (ite (= i ii) e (ho_727 u ii)))))))))) (let ((_let_525 (forall ((x |u_(-> tptp.set_Pr1235432374le_trm tptp.set_variable tptp.trm Bool)|) (y |u_(-> tptp.set_Pr1235432374le_trm tptp.set_variable tptp.trm Bool)|)) (or (not (forall ((z tptp.set_Pr1235432374le_trm)) (= (ho_727 x z) (ho_727 y z)))) (= x y))))) (let ((_let_526 (forall ((u |u_(-> tptp.produc62062515n_game Bool)|) (e Bool) (i tptp.produc62062515n_game)) (not (forall ((v |u_(-> tptp.produc62062515n_game Bool)|)) (not (forall ((ii tptp.produc62062515n_game)) (= (ho_716 v ii) (ite (= i ii) e (ho_716 u ii)))))))))) (let ((_let_527 (forall ((x |u_(-> tptp.produc62062515n_game Bool)|) (y |u_(-> tptp.produc62062515n_game Bool)|)) (or (not (forall ((z tptp.produc62062515n_game)) (= (ho_716 x z) (ho_716 y z)))) (= x y))))) (let ((_let_528 (forall ((u |u_(-> tptp.game tptp.option_game)|) (e tptp.option_game) (i tptp.game)) (not (forall ((v |u_(-> tptp.game tptp.option_game)|)) (not (forall ((ii tptp.game)) (= (ho_507 v ii) (ite (= i ii) e (ho_507 u ii)))))))))) (let ((_let_529 (forall ((x |u_(-> tptp.game tptp.option_game)|) (y |u_(-> tptp.game tptp.option_game)|)) (or (not (forall ((z tptp.game)) (= (ho_507 x z) (ho_507 y z)))) (= x y))))) (let ((_let_530 (forall ((u |u_(-> tptp.set_Pr739694057n_game tptp.set_Pr739694057n_game)|) (e tptp.set_Pr739694057n_game) (i tptp.set_Pr739694057n_game)) (not (forall ((v |u_(-> tptp.set_Pr739694057n_game tptp.set_Pr739694057n_game)|)) (not (forall ((ii tptp.set_Pr739694057n_game)) (= (ho_712 v ii) (ite (= i ii) e (ho_712 u ii)))))))))) (let ((_let_531 (forall ((x |u_(-> tptp.set_Pr739694057n_game tptp.set_Pr739694057n_game)|) (y |u_(-> tptp.set_Pr739694057n_game tptp.set_Pr739694057n_game)|)) (or (not (forall ((z tptp.set_Pr739694057n_game)) (= (ho_712 x z) (ho_712 y z)))) (= x y))))) (let ((_let_532 (forall ((u |u_(-> tptp.set_Pr739694057n_game tptp.set_Pr739694057n_game _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|) (e |u_(-> tptp.set_Pr739694057n_game _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|) (i tptp.set_Pr739694057n_game)) (not (forall ((v |u_(-> tptp.set_Pr739694057n_game tptp.set_Pr739694057n_game _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|)) (not (forall ((ii tptp.set_Pr739694057n_game)) (= (ho_709 v ii) (ite (= i ii) e (ho_709 u ii)))))))))) (let ((_let_533 (forall ((x |u_(-> tptp.set_Pr739694057n_game tptp.set_Pr739694057n_game _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|) (y |u_(-> tptp.set_Pr739694057n_game tptp.set_Pr739694057n_game _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|)) (or (not (forall ((z tptp.set_Pr739694057n_game)) (= (ho_709 x z) (ho_709 y z)))) (= x y))))) (let ((_let_534 (forall ((u |u_(-> Bool Bool Bool Bool Bool tptp.char)|) (e |u_(-> Bool Bool Bool Bool tptp.char)|) (i Bool)) (not (forall ((v |u_(-> Bool Bool Bool Bool Bool tptp.char)|)) (not (forall ((ii Bool)) (= (ho_653 v ii) (ite (= i ii) e (ho_653 u ii)))))))))) (let ((_let_535 (forall ((x |u_(-> Bool Bool Bool Bool Bool tptp.char)|) (y |u_(-> Bool Bool Bool Bool Bool tptp.char)|)) (or (not (forall ((z Bool)) (= (ho_653 x z) (ho_653 y z)))) (= x y))))) (let ((_let_536 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_trm)_ Bool)|) (e Bool) (i |u_(-> tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_trm)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_trm)|)) (= (ho_1121 v ii) (ite (= i ii) e (ho_1121 u ii)))))))))) (let ((_let_537 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_trm)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.option_trm)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_trm)|)) (= (ho_1121 x z) (ho_1121 y z)))) (= x y))))) (let ((_let_538 (forall ((u |u_(-> tptp.produc62062515n_game tptp.set_Pr739694057n_game Bool)|) (e |u_(-> tptp.set_Pr739694057n_game Bool)|) (i tptp.produc62062515n_game)) (not (forall ((v |u_(-> tptp.produc62062515n_game tptp.set_Pr739694057n_game Bool)|)) (not (forall ((ii tptp.produc62062515n_game)) (= (ho_705 v ii) (ite (= i ii) e (ho_705 u ii)))))))))) (let ((_let_539 (forall ((x |u_(-> tptp.produc62062515n_game tptp.set_Pr739694057n_game Bool)|) (y |u_(-> tptp.produc62062515n_game tptp.set_Pr739694057n_game Bool)|)) (or (not (forall ((z tptp.produc62062515n_game)) (= (ho_705 x z) (ho_705 y z)))) (= x y))))) (let ((_let_540 (forall ((u |u_(-> tptp.set_Pr739694057n_game Bool)|) (e Bool) (i tptp.set_Pr739694057n_game)) (not (forall ((v |u_(-> tptp.set_Pr739694057n_game Bool)|)) (not (forall ((ii tptp.set_Pr739694057n_game)) (= (ho_706 v ii) (ite (= i ii) e (ho_706 u ii)))))))))) (let ((_let_541 (forall ((x |u_(-> tptp.set_Pr739694057n_game Bool)|) (y |u_(-> tptp.set_Pr739694057n_game Bool)|)) (or (not (forall ((z tptp.set_Pr739694057n_game)) (= (ho_706 x z) (ho_706 y z)))) (= x y))))) (let ((_let_542 (forall ((u |u_(-> tptp.set_Pr739694057n_game _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|) (e |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|) (i tptp.set_Pr739694057n_game)) (not (forall ((v |u_(-> tptp.set_Pr739694057n_game _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|)) (not (forall ((ii tptp.set_Pr739694057n_game)) (= (ho_701 v ii) (ite (= i ii) e (ho_701 u ii)))))))))) (let ((_let_543 (forall ((x |u_(-> tptp.set_Pr739694057n_game _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|) (y |u_(-> tptp.set_Pr739694057n_game _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|)) (or (not (forall ((z tptp.set_Pr739694057n_game)) (= (ho_701 x z) (ho_701 y z)))) (= x y))))) (let ((_let_544 (forall ((u |u_(-> Bool tptp.char)|) (e tptp.char) (i Bool)) (not (forall ((v |u_(-> Bool tptp.char)|)) (not (forall ((ii Bool)) (= (ho_657 v ii) (ite (= i ii) e (ho_657 u ii)))))))))) (let ((_let_545 (forall ((x |u_(-> Bool tptp.char)|) (y |u_(-> Bool tptp.char)|)) (or (not (forall ((z Bool)) (= (ho_657 x z) (ho_657 y z)))) (= x y))))) (let ((_let_546 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|) (e |u_(-> tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (= (ho_466 v ii) (ite (= i ii) e (ho_466 u ii)))))))))) (let ((_let_547 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (= (ho_466 x z) (ho_466 y z)))) (= x y))))) (let ((_let_548 (forall ((u |u_(-> tptp.produc799602994n_game tptp.set_char)|) (e tptp.set_char) (i tptp.produc799602994n_game)) (not (forall ((v |u_(-> tptp.produc799602994n_game tptp.set_char)|)) (not (forall ((ii tptp.produc799602994n_game)) (= (ho_1115 v ii) (ite (= i ii) e (ho_1115 u ii)))))))))) (let ((_let_549 (forall ((x |u_(-> tptp.produc799602994n_game tptp.set_char)|) (y |u_(-> tptp.produc799602994n_game tptp.set_char)|)) (or (not (forall ((z tptp.produc799602994n_game)) (= (ho_1115 x z) (ho_1115 y z)))) (= x y))))) (let ((_let_550 (forall ((u |u_(-> tptp.fml tptp.fml tptp.fml)|) (e |u_(-> tptp.fml tptp.fml)|) (i tptp.fml)) (not (forall ((v |u_(-> tptp.fml tptp.fml tptp.fml)|)) (not (forall ((ii tptp.fml)) (= (ho_510 v ii) (ite (= i ii) e (ho_510 u ii)))))))))) (let ((_let_551 (forall ((x |u_(-> tptp.fml tptp.fml tptp.fml)|) (y |u_(-> tptp.fml tptp.fml tptp.fml)|)) (or (not (forall ((z tptp.fml)) (= (ho_510 x z) (ho_510 y z)))) (= x y))))) (let ((_let_552 (forall ((u |u_(-> Bool Bool Bool Bool Bool Bool tptp.char)|) (e |u_(-> Bool Bool Bool Bool Bool tptp.char)|) (i Bool)) (not (forall ((v |u_(-> Bool Bool Bool Bool Bool Bool tptp.char)|)) (not (forall ((ii Bool)) (= (ho_652 v ii) (ite (= i ii) e (ho_652 u ii)))))))))) (let ((_let_553 (forall ((x |u_(-> Bool Bool Bool Bool Bool Bool tptp.char)|) (y |u_(-> Bool Bool Bool Bool Bool Bool tptp.char)|)) (or (not (forall ((z Bool)) (= (ho_652 x z) (ho_652 y z)))) (= x y))))) (let ((_let_554 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (e |u_(-> tptp.produc799602994n_game tptp.char tptp.option_fml)|) (i |u_(-> tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_trm)|)) (= (ho_456 v ii) (ite (= i ii) e (ho_456 u ii)))))))))) (let ((_let_555 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (y |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_trm)|)) (= (ho_456 x z) (ho_456 y z)))) (= x y))))) (let ((_let_556 (forall ((u |u_(-> tptp.fml tptp.option_fml)|) (e tptp.option_fml) (i tptp.fml)) (not (forall ((v |u_(-> tptp.fml tptp.option_fml)|)) (not (forall ((ii tptp.fml)) (= (ho_514 v ii) (ite (= i ii) e (ho_514 u ii)))))))))) (let ((_let_557 (forall ((x |u_(-> tptp.fml tptp.option_fml)|) (y |u_(-> tptp.fml tptp.option_fml)|)) (or (not (forall ((z tptp.fml)) (= (ho_514 x z) (ho_514 y z)))) (= x y))))) (let ((_let_558 (forall ((u |u_(-> _u_(-> tptp.fml tptp.fml tptp.fml)_ tptp.fml tptp.fml tptp.option_fml)|) (e |u_(-> tptp.fml tptp.fml tptp.option_fml)|) (i |u_(-> tptp.fml tptp.fml tptp.fml)|)) (not (forall ((v |u_(-> _u_(-> tptp.fml tptp.fml tptp.fml)_ tptp.fml tptp.fml tptp.option_fml)|)) (not (forall ((ii |u_(-> tptp.fml tptp.fml tptp.fml)|)) (= (ho_512 v ii) (ite (= i ii) e (ho_512 u ii)))))))))) (let ((_let_559 (forall ((x |u_(-> _u_(-> tptp.fml tptp.fml tptp.fml)_ tptp.fml tptp.fml tptp.option_fml)|) (y |u_(-> _u_(-> tptp.fml tptp.fml tptp.fml)_ tptp.fml tptp.fml tptp.option_fml)|)) (or (not (forall ((z |u_(-> tptp.fml tptp.fml tptp.fml)|)) (= (ho_512 x z) (ho_512 y z)))) (= x y))))) (let ((_let_560 (forall ((u |u_(-> tptp.game tptp.game tptp.game)|) (e |u_(-> tptp.game tptp.game)|) (i tptp.game)) (not (forall ((v |u_(-> tptp.game tptp.game tptp.game)|)) (not (forall ((ii tptp.game)) (= (ho_503 v ii) (ite (= i ii) e (ho_503 u ii)))))))))) (let ((_let_561 (forall ((x |u_(-> tptp.game tptp.game tptp.game)|) (y |u_(-> tptp.game tptp.game tptp.game)|)) (or (not (forall ((z tptp.game)) (= (ho_503 x z) (ho_503 y z)))) (= x y))))) (let ((_let_562 (forall ((u |u_(-> tptp.produc1367888000le_trm Bool)|) (e Bool) (i tptp.produc1367888000le_trm)) (not (forall ((v |u_(-> tptp.produc1367888000le_trm Bool)|)) (not (forall ((ii tptp.produc1367888000le_trm)) (= (ho_1089 v ii) (ite (= i ii) e (ho_1089 u ii)))))))))) (let ((_let_563 (forall ((x |u_(-> tptp.produc1367888000le_trm Bool)|) (y |u_(-> tptp.produc1367888000le_trm Bool)|)) (or (not (forall ((z tptp.produc1367888000le_trm)) (= (ho_1089 x z) (ho_1089 y z)))) (= x y))))) (let ((_let_564 (forall ((u |u_(-> _u_(-> tptp.char Bool)_ tptp.set_char)|) (e tptp.set_char) (i |u_(-> tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char Bool)_ tptp.set_char)|)) (not (forall ((ii |u_(-> tptp.char Bool)|)) (= (ho_838 v ii) (ite (= i ii) e (ho_838 u ii)))))))))) (let ((_let_565 (forall ((x |u_(-> _u_(-> tptp.char Bool)_ tptp.set_char)|) (y |u_(-> _u_(-> tptp.char Bool)_ tptp.set_char)|)) (or (not (forall ((z |u_(-> tptp.char Bool)|)) (= (ho_838 x z) (ho_838 y z)))) (= x y))))) (let ((_let_566 (forall ((u |u_(-> tptp.produc62062515n_game tptp.produc1418842292n_game)|) (e tptp.produc1418842292n_game) (i tptp.produc62062515n_game)) (not (forall ((v |u_(-> tptp.produc62062515n_game tptp.produc1418842292n_game)|)) (not (forall ((ii tptp.produc62062515n_game)) (= (ho_491 v ii) (ite (= i ii) e (ho_491 u ii)))))))))) (let ((_let_567 (forall ((x |u_(-> tptp.produc62062515n_game tptp.produc1418842292n_game)|) (y |u_(-> tptp.produc62062515n_game tptp.produc1418842292n_game)|)) (or (not (forall ((z tptp.produc62062515n_game)) (= (ho_491 x z) (ho_491 y z)))) (= x y))))) (let ((_let_568 (forall ((u |u_(-> _u_(-> tptp.produc1418842292n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|) (e |u_(-> tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|) (i |u_(-> tptp.produc1418842292n_game tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc1418842292n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|)) (not (forall ((ii |u_(-> tptp.produc1418842292n_game tptp.char tptp.option_fml)|)) (= (ho_488 v ii) (ite (= i ii) e (ho_488 u ii)))))))))) (let ((_let_569 (forall ((x |u_(-> _u_(-> tptp.produc1418842292n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|) (y |u_(-> _u_(-> tptp.produc1418842292n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|)) (or (not (forall ((z |u_(-> tptp.produc1418842292n_game tptp.char tptp.option_fml)|)) (= (ho_488 x z) (ho_488 y z)))) (= x y))))) (let ((_let_570 (forall ((u |u_(-> tptp.option_trm tptp.produc1024976764on_trm)|) (e tptp.produc1024976764on_trm) (i tptp.option_trm)) (not (forall ((v |u_(-> tptp.option_trm tptp.produc1024976764on_trm)|)) (not (forall ((ii tptp.option_trm)) (= (ho_1151 v ii) (ite (= i ii) e (ho_1151 u ii)))))))))) (let ((_let_571 (forall ((x |u_(-> tptp.option_trm tptp.produc1024976764on_trm)|) (y |u_(-> tptp.option_trm tptp.produc1024976764on_trm)|)) (or (not (forall ((z tptp.option_trm)) (= (ho_1151 x z) (ho_1151 y z)))) (= x y))))) (let ((_let_572 (forall ((u |u_(-> tptp.set_variable tptp.set_variable tptp.set_variable tptp.variable Bool)|) (e |u_(-> tptp.set_variable tptp.set_variable tptp.variable Bool)|) (i tptp.set_variable)) (not (forall ((v |u_(-> tptp.set_variable tptp.set_variable tptp.set_variable tptp.variable Bool)|)) (not (forall ((ii tptp.set_variable)) (= (ho_907 v ii) (ite (= i ii) e (ho_907 u ii)))))))))) (let ((_let_573 (forall ((x |u_(-> tptp.set_variable tptp.set_variable tptp.set_variable tptp.variable Bool)|) (y |u_(-> tptp.set_variable tptp.set_variable tptp.set_variable tptp.variable Bool)|)) (or (not (forall ((z tptp.set_variable)) (= (ho_907 x z) (ho_907 y z)))) (= x y))))) (let ((_let_574 (forall ((u |u_(-> tptp.trm tptp.trm tptp.trm)|) (e |u_(-> tptp.trm tptp.trm)|) (i tptp.trm)) (not (forall ((v |u_(-> tptp.trm tptp.trm tptp.trm)|)) (not (forall ((ii tptp.trm)) (= (ho_1060 v ii) (ite (= i ii) e (ho_1060 u ii)))))))))) (let ((_let_575 (forall ((x |u_(-> tptp.trm tptp.trm tptp.trm)|) (y |u_(-> tptp.trm tptp.trm tptp.trm)|)) (or (not (forall ((z tptp.trm)) (= (ho_1060 x z) (ho_1060 y z)))) (= x y))))) (let ((_let_576 (forall ((u |u_(-> tptp.option_game tptp.produc1016592119n_game)|) (e tptp.produc1016592119n_game) (i tptp.option_game)) (not (forall ((v |u_(-> tptp.option_game tptp.produc1016592119n_game)|)) (not (forall ((ii tptp.option_game)) (= (ho_1160 v ii) (ite (= i ii) e (ho_1160 u ii)))))))))) (let ((_let_577 (forall ((x |u_(-> tptp.option_game tptp.produc1016592119n_game)|) (y |u_(-> tptp.option_game tptp.produc1016592119n_game)|)) (or (not (forall ((z tptp.option_game)) (= (ho_1160 x z) (ho_1160 y z)))) (= x y))))) (let ((_let_578 (forall ((u |u_(-> _u_(-> tptp.produc62062515n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|) (e |u_(-> tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|) (i |u_(-> tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc62062515n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|)) (not (forall ((ii |u_(-> tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (= (ho_479 v ii) (ite (= i ii) e (ho_479 u ii)))))))))) (let ((_let_579 (forall ((x |u_(-> _u_(-> tptp.produc62062515n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|) (y |u_(-> _u_(-> tptp.produc62062515n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|)) (or (not (forall ((z |u_(-> tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (= (ho_479 x z) (ho_479 y z)))) (= x y))))) (let ((_let_580 (forall ((u |u_(-> tptp.produc1699626005le_trm Bool)|) (e Bool) (i tptp.produc1699626005le_trm)) (not (forall ((v |u_(-> tptp.produc1699626005le_trm Bool)|)) (not (forall ((ii tptp.produc1699626005le_trm)) (= (ho_1079 v ii) (ite (= i ii) e (ho_1079 u ii)))))))))) (let ((_let_581 (forall ((x |u_(-> tptp.produc1699626005le_trm Bool)|) (y |u_(-> tptp.produc1699626005le_trm Bool)|)) (or (not (forall ((z tptp.produc1699626005le_trm)) (= (ho_1079 x z) (ho_1079 y z)))) (= x y))))) (let ((_let_582 (forall ((u |u_(-> tptp.trm tptp.option_trm)|) (e tptp.option_trm) (i tptp.trm)) (not (forall ((v |u_(-> tptp.trm tptp.option_trm)|)) (not (forall ((ii tptp.trm)) (= (ho_648 v ii) (ite (= i ii) e (ho_648 u ii)))))))))) (let ((_let_583 (forall ((x |u_(-> tptp.trm tptp.option_trm)|) (y |u_(-> tptp.trm tptp.option_trm)|)) (or (not (forall ((z tptp.trm)) (= (ho_648 x z) (ho_648 y z)))) (= x y))))) (let ((_let_584 (forall ((u |u_(-> _u_(-> tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|) (e |u_(-> tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|) (i |u_(-> tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|)) (not (forall ((ii |u_(-> tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (= (ho_472 v ii) (ite (= i ii) e (ho_472 u ii)))))))))) (let ((_let_585 (forall ((x |u_(-> _u_(-> tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|) (y |u_(-> _u_(-> tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|)) (or (not (forall ((z |u_(-> tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (= (ho_472 x z) (ho_472 y z)))) (= x y))))) (let ((_let_586 (forall ((u |u_(-> _u_(-> tptp.game tptp.game tptp.game)_ tptp.option_game tptp.game tptp.option_game)|) (e |u_(-> tptp.option_game tptp.game tptp.option_game)|) (i |u_(-> tptp.game tptp.game tptp.game)|)) (not (forall ((v |u_(-> _u_(-> tptp.game tptp.game tptp.game)_ tptp.option_game tptp.game tptp.option_game)|)) (not (forall ((ii |u_(-> tptp.game tptp.game tptp.game)|)) (= (ho_812 v ii) (ite (= i ii) e (ho_812 u ii)))))))))) (let ((_let_587 (forall ((x |u_(-> _u_(-> tptp.game tptp.game tptp.game)_ tptp.option_game tptp.game tptp.option_game)|) (y |u_(-> _u_(-> tptp.game tptp.game tptp.game)_ tptp.option_game tptp.game tptp.option_game)|)) (or (not (forall ((z |u_(-> tptp.game tptp.game tptp.game)|)) (= (ho_812 x z) (ho_812 y z)))) (= x y))))) (let ((_let_588 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.produc1418842292n_game)|) (e |u_(-> tptp.produc62062515n_game tptp.produc1418842292n_game)|) (i |u_(-> tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.produc1418842292n_game)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_trm)|)) (= (ho_490 v ii) (ite (= i ii) e (ho_490 u ii)))))))))) (let ((_let_589 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.produc1418842292n_game)|) (y |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.produc1418842292n_game)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_trm)|)) (= (ho_490 x z) (ho_490 y z)))) (= x y))))) (let ((_let_590 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|) (e |u_(-> tptp.produc62062515n_game tptp.option_fml)|) (i |u_(-> tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_trm)|)) (= (ho_468 v ii) (ite (= i ii) e (ho_468 u ii)))))))))) (let ((_let_591 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|) (y |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_trm)|)) (= (ho_468 x z) (ho_468 y z)))) (= x y))))) (let ((_let_592 (forall ((u |u_(-> tptp.set_Pr79606376n_game _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|) (i tptp.set_Pr79606376n_game)) (not (forall ((v |u_(-> tptp.set_Pr79606376n_game _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|)) (not (forall ((ii tptp.set_Pr79606376n_game)) (= (ho_688 v ii) (ite (= i ii) e (ho_688 u ii)))))))))) (let ((_let_593 (forall ((x |u_(-> tptp.set_Pr79606376n_game _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|) (y |u_(-> tptp.set_Pr79606376n_game _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|)) (or (not (forall ((z tptp.set_Pr79606376n_game)) (= (ho_688 x z) (ho_688 y z)))) (= x y))))) (let ((_let_594 (forall ((u |u_(-> tptp.fml tptp.fml tptp.option_fml)|) (e |u_(-> tptp.fml tptp.option_fml)|) (i tptp.fml)) (not (forall ((v |u_(-> tptp.fml tptp.fml tptp.option_fml)|)) (not (forall ((ii tptp.fml)) (= (ho_513 v ii) (ite (= i ii) e (ho_513 u ii)))))))))) (let ((_let_595 (forall ((x |u_(-> tptp.fml tptp.fml tptp.option_fml)|) (y |u_(-> tptp.fml tptp.fml tptp.option_fml)|)) (or (not (forall ((z tptp.fml)) (= (ho_513 x z) (ho_513 y z)))) (= x y))))) (let ((_let_596 (forall ((u |u_(-> tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|) (e |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|) (i tptp.char)) (not (forall ((v |u_(-> tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|)) (not (forall ((ii tptp.char)) (= (ho_424 v ii) (ite (= i ii) e (ho_424 u ii)))))))))) (let ((_let_597 (forall ((x |u_(-> tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|) (y |u_(-> tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|)) (or (not (forall ((z tptp.char)) (= (ho_424 x z) (ho_424 y z)))) (= x y))))) (let ((_let_598 (forall ((u |u_(-> tptp.trm tptp.produc1367888000le_trm)|) (e tptp.produc1367888000le_trm) (i tptp.trm)) (not (forall ((v |u_(-> tptp.trm tptp.produc1367888000le_trm)|)) (not (forall ((ii tptp.trm)) (= (ho_732 v ii) (ite (= i ii) e (ho_732 u ii)))))))))) (let ((_let_599 (forall ((x |u_(-> tptp.trm tptp.produc1367888000le_trm)|) (y |u_(-> tptp.trm tptp.produc1367888000le_trm)|)) (or (not (forall ((z tptp.trm)) (= (ho_732 x z) (ho_732 y z)))) (= x y))))) (let ((_let_600 (forall ((u |u_(-> tptp.option_trm tptp.trm)|) (e tptp.trm) (i tptp.option_trm)) (not (forall ((v |u_(-> tptp.option_trm tptp.trm)|)) (not (forall ((ii tptp.option_trm)) (= (ho_675 v ii) (ite (= i ii) e (ho_675 u ii)))))))))) (let ((_let_601 (forall ((x |u_(-> tptp.option_trm tptp.trm)|) (y |u_(-> tptp.option_trm tptp.trm)|)) (or (not (forall ((z tptp.option_trm)) (= (ho_675 x z) (ho_675 y z)))) (= x y))))) (let ((_let_602 (forall ((u |u_(-> tptp.produc62062515n_game tptp.option_fml)|) (e tptp.option_fml) (i tptp.produc62062515n_game)) (not (forall ((v |u_(-> tptp.produc62062515n_game tptp.option_fml)|)) (not (forall ((ii tptp.produc62062515n_game)) (= (ho_469 v ii) (ite (= i ii) e (ho_469 u ii)))))))))) (let ((_let_603 (forall ((x |u_(-> tptp.produc62062515n_game tptp.option_fml)|) (y |u_(-> tptp.produc62062515n_game tptp.option_fml)|)) (or (not (forall ((z tptp.produc62062515n_game)) (= (ho_469 x z) (ho_469 y z)))) (= x y))))) (let ((_let_604 (forall ((u |u_(-> tptp.game tptp.game tptp.option_game)|) (e |u_(-> tptp.game tptp.option_game)|) (i tptp.game)) (not (forall ((v |u_(-> tptp.game tptp.game tptp.option_game)|)) (not (forall ((ii tptp.game)) (= (ho_506 v ii) (ite (= i ii) e (ho_506 u ii)))))))))) (let ((_let_605 (forall ((x |u_(-> tptp.game tptp.game tptp.option_game)|) (y |u_(-> tptp.game tptp.game tptp.option_game)|)) (or (not (forall ((z tptp.game)) (= (ho_506 x z) (ho_506 y z)))) (= x y))))) (let ((_let_606 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_game)_ Bool)|) (e Bool) (i |u_(-> tptp.char tptp.option_game)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_game)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_game)|)) (= (ho_690 v ii) (ite (= i ii) e (ho_690 u ii)))))))))) (let ((_let_607 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_game)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.option_game)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_game)|)) (= (ho_690 x z) (ho_690 y z)))) (= x y))))) (let ((_let_608 (forall ((u |u_(-> _u_(-> tptp.fml tptp.option_fml)_ tptp.option_fml tptp.option_fml)|) (e |u_(-> tptp.option_fml tptp.option_fml)|) (i |u_(-> tptp.fml tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> tptp.fml tptp.option_fml)_ tptp.option_fml tptp.option_fml)|)) (not (forall ((ii |u_(-> tptp.fml tptp.option_fml)|)) (= (ho_808 v ii) (ite (= i ii) e (ho_808 u ii)))))))))) (let ((_let_609 (forall ((x |u_(-> _u_(-> tptp.fml tptp.option_fml)_ tptp.option_fml tptp.option_fml)|) (y |u_(-> _u_(-> tptp.fml tptp.option_fml)_ tptp.option_fml tptp.option_fml)|)) (or (not (forall ((z |u_(-> tptp.fml tptp.option_fml)|)) (= (ho_808 x z) (ho_808 y z)))) (= x y))))) (let ((_let_610 (forall ((u |u_(-> _u_(-> tptp.variable Bool)_ _u_(-> tptp.variable Bool)_ tptp.variable Bool)|) (e |u_(-> _u_(-> tptp.variable Bool)_ tptp.variable Bool)|) (i |u_(-> tptp.variable Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.variable Bool)_ _u_(-> tptp.variable Bool)_ tptp.variable Bool)|)) (not (forall ((ii |u_(-> tptp.variable Bool)|)) (= (ho_884 v ii) (ite (= i ii) e (ho_884 u ii)))))))))) (let ((_let_611 (forall ((x |u_(-> _u_(-> tptp.variable Bool)_ _u_(-> tptp.variable Bool)_ tptp.variable Bool)|) (y |u_(-> _u_(-> tptp.variable Bool)_ _u_(-> tptp.variable Bool)_ tptp.variable Bool)|)) (or (not (forall ((z |u_(-> tptp.variable Bool)|)) (= (ho_884 x z) (ho_884 y z)))) (= x y))))) (let ((_let_612 (forall ((u |u_(-> tptp.char tptp.set_char Bool)|) (e |u_(-> tptp.set_char Bool)|) (i tptp.char)) (not (forall ((v |u_(-> tptp.char tptp.set_char Bool)|)) (not (forall ((ii tptp.char)) (= (ho_535 v ii) (ite (= i ii) e (ho_535 u ii)))))))))) (let ((_let_613 (forall ((x |u_(-> tptp.char tptp.set_char Bool)|) (y |u_(-> tptp.char tptp.set_char Bool)|)) (or (not (forall ((z tptp.char)) (= (ho_535 x z) (ho_535 y z)))) (= x y))))) (let ((_let_614 (forall ((u |u_(-> tptp.set_Pr943832262on_trm tptp.set_Pr943832262on_trm)|) (e tptp.set_Pr943832262on_trm) (i tptp.set_Pr943832262on_trm)) (not (forall ((v |u_(-> tptp.set_Pr943832262on_trm tptp.set_Pr943832262on_trm)|)) (not (forall ((ii tptp.set_Pr943832262on_trm)) (= (ho_757 v ii) (ite (= i ii) e (ho_757 u ii)))))))))) (let ((_let_615 (forall ((x |u_(-> tptp.set_Pr943832262on_trm tptp.set_Pr943832262on_trm)|) (y |u_(-> tptp.set_Pr943832262on_trm tptp.set_Pr943832262on_trm)|)) (or (not (forall ((z tptp.set_Pr943832262on_trm)) (= (ho_757 x z) (ho_757 y z)))) (= x y))))) (let ((_let_616 (forall ((u |u_(-> tptp.trm tptp.produc833882726rp_trm)|) (e tptp.produc833882726rp_trm) (i tptp.trm)) (not (forall ((v |u_(-> tptp.trm tptp.produc833882726rp_trm)|)) (not (forall ((ii tptp.trm)) (= (ho_1082 v ii) (ite (= i ii) e (ho_1082 u ii)))))))))) (let ((_let_617 (forall ((x |u_(-> tptp.trm tptp.produc833882726rp_trm)|) (y |u_(-> tptp.trm tptp.produc833882726rp_trm)|)) (or (not (forall ((z tptp.trm)) (= (ho_1082 x z) (ho_1082 y z)))) (= x y))))) (let ((_let_618 (forall ((u |u_(-> tptp.game tptp.game)|) (e tptp.game) (i tptp.game)) (not (forall ((v |u_(-> tptp.game tptp.game)|)) (not (forall ((ii tptp.game)) (= (ho_508 v ii) (ite (= i ii) e (ho_508 u ii)))))))))) (let ((_let_619 (forall ((x |u_(-> tptp.game tptp.game)|) (y |u_(-> tptp.game tptp.game)|)) (or (not (forall ((z tptp.game)) (= (ho_508 x z) (ho_508 y z)))) (= x y))))) (let ((_let_620 (forall ((u |u_(-> tptp.produc1418842292n_game Bool)|) (e Bool) (i tptp.produc1418842292n_game)) (not (forall ((v |u_(-> tptp.produc1418842292n_game Bool)|)) (not (forall ((ii tptp.produc1418842292n_game)) (= (ho_1092 v ii) (ite (= i ii) e (ho_1092 u ii)))))))))) (let ((_let_621 (forall ((x |u_(-> tptp.produc1418842292n_game Bool)|) (y |u_(-> tptp.produc1418842292n_game Bool)|)) (or (not (forall ((z tptp.produc1418842292n_game)) (= (ho_1092 x z) (ho_1092 y z)))) (= x y))))) (let ((_let_622 (forall ((u |u_(-> tptp.set_variable tptp.set_variable tptp.variable Bool)|) (e |u_(-> tptp.set_variable tptp.variable Bool)|) (i tptp.set_variable)) (not (forall ((v |u_(-> tptp.set_variable tptp.set_variable tptp.variable Bool)|)) (not (forall ((ii tptp.set_variable)) (= (ho_524 v ii) (ite (= i ii) e (ho_524 u ii)))))))))) (let ((_let_623 (forall ((x |u_(-> tptp.set_variable tptp.set_variable tptp.variable Bool)|) (y |u_(-> tptp.set_variable tptp.set_variable tptp.variable Bool)|)) (or (not (forall ((z tptp.set_variable)) (= (ho_524 x z) (ho_524 y z)))) (= x y))))) (let ((_let_624 (forall ((u |u_(-> _u_(-> tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|) (e |u_(-> tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|) (i |u_(-> tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|)) (not (forall ((ii |u_(-> tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (= (ho_477 v ii) (ite (= i ii) e (ho_477 u ii)))))))))) (let ((_let_625 (forall ((x |u_(-> _u_(-> tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|) (y |u_(-> _u_(-> tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|)) (or (not (forall ((z |u_(-> tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (= (ho_477 x z) (ho_477 y z)))) (= x y))))) (let ((_let_626 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)_ _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)_ _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|) (i |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)_ _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|)) (= (ho_1135 v ii) (ite (= i ii) e (ho_1135 u ii)))))))))) (let ((_let_627 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)_ _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)_ _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|)) (= (ho_1135 x z) (ho_1135 y z)))) (= x y))))) (let ((_let_628 (forall ((u |u_(-> tptp.produc799602994n_game tptp.char tptp.option_trm)|) (e |u_(-> tptp.char tptp.option_trm)|) (i tptp.produc799602994n_game)) (not (forall ((v |u_(-> tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (not (forall ((ii tptp.produc799602994n_game)) (= (ho_463 v ii) (ite (= i ii) e (ho_463 u ii)))))))))) (let ((_let_629 (forall ((x |u_(-> tptp.produc799602994n_game tptp.char tptp.option_trm)|) (y |u_(-> tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (or (not (forall ((z tptp.produc799602994n_game)) (= (ho_463 x z) (ho_463 y z)))) (= x y))))) (let ((_let_630 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)_ tptp.produc62062515n_game tptp.option_trm)|) (e |u_(-> tptp.produc62062515n_game tptp.option_trm)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)_ tptp.produc62062515n_game tptp.option_trm)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|)) (= (ho_621 v ii) (ite (= i ii) e (ho_621 u ii)))))))))) (let ((_let_631 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)_ tptp.produc62062515n_game tptp.option_trm)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)_ tptp.produc62062515n_game tptp.option_trm)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|)) (= (ho_621 x z) (ho_621 y z)))) (= x y))))) (let ((_let_632 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.produc799602994n_game)|) (e tptp.produc799602994n_game) (i |u_(-> tptp.char tptp.option_game)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.produc799602994n_game)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_game)|)) (= (ho_475 v ii) (ite (= i ii) e (ho_475 u ii)))))))))) (let ((_let_633 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.produc799602994n_game)|) (y |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.produc799602994n_game)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_game)|)) (= (ho_475 x z) (ho_475 y z)))) (= x y))))) (let ((_let_634 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|) (e |u_(-> tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (= (ho_462 v ii) (ite (= i ii) e (ho_462 u ii)))))))))) (let ((_let_635 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (= (ho_462 x z) (ho_462 y z)))) (= x y))))) (let ((_let_636 (forall ((u |u_(-> tptp.char tptp.option_game)|) (e tptp.option_game) (i tptp.char)) (not (forall ((v |u_(-> tptp.char tptp.option_game)|)) (not (forall ((ii tptp.char)) (= (ho_383 v ii) (ite (= i ii) e (ho_383 u ii)))))))))) (let ((_let_637 (forall ((x |u_(-> tptp.char tptp.option_game)|) (y |u_(-> tptp.char tptp.option_game)|)) (or (not (forall ((z tptp.char)) (= (ho_383 x z) (ho_383 y z)))) (= x y))))) (let ((_let_638 (forall ((u |u_(-> tptp.set_char tptp.set_char tptp.char Bool)|) (e |u_(-> tptp.set_char tptp.char Bool)|) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char tptp.set_char tptp.char Bool)|)) (not (forall ((ii tptp.set_char)) (= (ho_531 v ii) (ite (= i ii) e (ho_531 u ii)))))))))) (let ((_let_639 (forall ((x |u_(-> tptp.set_char tptp.set_char tptp.char Bool)|) (y |u_(-> tptp.set_char tptp.set_char tptp.char Bool)|)) (or (not (forall ((z tptp.set_char)) (= (ho_531 x z) (ho_531 y z)))) (= x y))))) (let ((_let_640 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|) (e tptp.option_trm) (i |u_(-> tptp.char tptp.option_game)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 v ii) (ite (= i ii) e (ho_390 u ii)))))))))) (let ((_let_641 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|) (y |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 x z) (ho_390 y z)))) (= x y))))) (let ((_let_642 (forall ((u |u_(-> tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|) (e |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|) (i tptp.char)) (not (forall ((v |u_(-> tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|)) (not (forall ((ii tptp.char)) (= (ho_443 v ii) (ite (= i ii) e (ho_443 u ii)))))))))) (let ((_let_643 (forall ((x |u_(-> tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|) (y |u_(-> tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|)) (or (not (forall ((z tptp.char)) (= (ho_443 x z) (ho_443 y z)))) (= x y))))) (let ((_let_644 (forall ((u |u_(-> tptp.produc1418842292n_game tptp.char tptp.option_trm)|) (e |u_(-> tptp.char tptp.option_trm)|) (i tptp.produc1418842292n_game)) (not (forall ((v |u_(-> tptp.produc1418842292n_game tptp.char tptp.option_trm)|)) (not (forall ((ii tptp.produc1418842292n_game)) (= (ho_673 v ii) (ite (= i ii) e (ho_673 u ii)))))))))) (let ((_let_645 (forall ((x |u_(-> tptp.produc1418842292n_game tptp.char tptp.option_trm)|) (y |u_(-> tptp.produc1418842292n_game tptp.char tptp.option_trm)|)) (or (not (forall ((z tptp.produc1418842292n_game)) (= (ho_673 x z) (ho_673 y z)))) (= x y))))) (let ((_let_646 (forall ((u |u_(-> tptp.option_trm tptp.produc464795408on_trm)|) (e tptp.produc464795408on_trm) (i tptp.option_trm)) (not (forall ((v |u_(-> tptp.option_trm tptp.produc464795408on_trm)|)) (not (forall ((ii tptp.option_trm)) (= (ho_748 v ii) (ite (= i ii) e (ho_748 u ii)))))))))) (let ((_let_647 (forall ((x |u_(-> tptp.option_trm tptp.produc464795408on_trm)|) (y |u_(-> tptp.option_trm tptp.produc464795408on_trm)|)) (or (not (forall ((z tptp.option_trm)) (= (ho_748 x z) (ho_748 y z)))) (= x y))))) (let ((_let_648 (forall ((u |u_(-> tptp.option_fml tptp.produc46605351on_fml)|) (e tptp.produc46605351on_fml) (i tptp.option_fml)) (not (forall ((v |u_(-> tptp.option_fml tptp.produc46605351on_fml)|)) (not (forall ((ii tptp.option_fml)) (= (ho_1148 v ii) (ite (= i ii) e (ho_1148 u ii)))))))))) (let ((_let_649 (forall ((x |u_(-> tptp.option_fml tptp.produc46605351on_fml)|) (y |u_(-> tptp.option_fml tptp.produc46605351on_fml)|)) (or (not (forall ((z tptp.option_fml)) (= (ho_1148 x z) (ho_1148 y z)))) (= x y))))) (let ((_let_650 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|) (e |u_(-> tptp.produc799602994n_game tptp.option_fml)|) (i |u_(-> tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_trm)|)) (= (ho_444 v ii) (ite (= i ii) e (ho_444 u ii)))))))))) (let ((_let_651 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|) (y |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_trm)|)) (= (ho_444 x z) (ho_444 y z)))) (= x y))))) (let ((_let_652 (forall ((u |u_(-> tptp.option_trm tptp.option_fml Bool)|) (e |u_(-> tptp.option_fml Bool)|) (i tptp.option_trm)) (not (forall ((v |u_(-> tptp.option_trm tptp.option_fml Bool)|)) (not (forall ((ii tptp.option_trm)) (= (ho_1049 v ii) (ite (= i ii) e (ho_1049 u ii)))))))))) (let ((_let_653 (forall ((x |u_(-> tptp.option_trm tptp.option_fml Bool)|) (y |u_(-> tptp.option_trm tptp.option_fml Bool)|)) (or (not (forall ((z tptp.option_trm)) (= (ho_1049 x z) (ho_1049 y z)))) (= x y))))) (let ((_let_654 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|) (e |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|) (i |u_(-> tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_fml)|)) (= (ho_452 v ii) (ite (= i ii) e (ho_452 u ii)))))))))) (let ((_let_655 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|) (y |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_fml)|)) (= (ho_452 x z) (ho_452 y z)))) (= x y))))) (let ((_let_656 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|) (e |u_(-> tptp.produc799602994n_game tptp.option_trm)|) (i |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|)) (= (ho_420 v ii) (ite (= i ii) e (ho_420 u ii)))))))))) (let ((_let_657 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|)) (= (ho_420 x z) (ho_420 y z)))) (= x y))))) (let ((_let_658 (forall ((u |u_(-> tptp.set_Pr79606376n_game Bool)|) (e Bool) (i tptp.set_Pr79606376n_game)) (not (forall ((v |u_(-> tptp.set_Pr79606376n_game Bool)|)) (not (forall ((ii tptp.set_Pr79606376n_game)) (= (ho_693 v ii) (ite (= i ii) e (ho_693 u ii)))))))))) (let ((_let_659 (forall ((x |u_(-> tptp.set_Pr79606376n_game Bool)|) (y |u_(-> tptp.set_Pr79606376n_game Bool)|)) (or (not (forall ((z tptp.set_Pr79606376n_game)) (= (ho_693 x z) (ho_693 y z)))) (= x y))))) (let ((_let_660 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|) (e tptp.option_fml) (i |u_(-> tptp.char tptp.option_game)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_game)|)) (= (ho_400 v ii) (ite (= i ii) e (ho_400 u ii)))))))))) (let ((_let_661 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|) (y |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_game)|)) (= (ho_400 x z) (ho_400 y z)))) (= x y))))) (let ((_let_662 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)_ tptp.produc799602994n_game tptp.option_fml)|) (e |u_(-> tptp.produc799602994n_game tptp.option_fml)|) (i |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)_ tptp.produc799602994n_game tptp.option_fml)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|)) (= (ho_440 v ii) (ite (= i ii) e (ho_440 u ii)))))))))) (let ((_let_663 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)_ tptp.produc799602994n_game tptp.option_fml)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)_ tptp.produc799602994n_game tptp.option_fml)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|)) (= (ho_440 x z) (ho_440 y z)))) (= x y))))) (let ((_let_664 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|) (e |u_(-> tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|) (i |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|)) (= (ho_545 v ii) (ite (= i ii) e (ho_545 u ii)))))))))) (let ((_let_665 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|)) (= (ho_545 x z) (ho_545 y z)))) (= x y))))) (let ((_let_666 (forall ((u |u_(-> tptp.option_trm tptp.option_trm tptp.option_trm)|) (e |u_(-> tptp.option_trm tptp.option_trm)|) (i tptp.option_trm)) (not (forall ((v |u_(-> tptp.option_trm tptp.option_trm tptp.option_trm)|)) (not (forall ((ii tptp.option_trm)) (= (ho_660 v ii) (ite (= i ii) e (ho_660 u ii)))))))))) (let ((_let_667 (forall ((x |u_(-> tptp.option_trm tptp.option_trm tptp.option_trm)|) (y |u_(-> tptp.option_trm tptp.option_trm tptp.option_trm)|)) (or (not (forall ((z tptp.option_trm)) (= (ho_660 x z) (ho_660 y z)))) (= x y))))) (let ((_let_668 (forall ((u |u_(-> tptp.produc799602994n_game tptp.option_trm)|) (e tptp.option_trm) (i tptp.produc799602994n_game)) (not (forall ((v |u_(-> tptp.produc799602994n_game tptp.option_trm)|)) (not (forall ((ii tptp.produc799602994n_game)) (= (ho_421 v ii) (ite (= i ii) e (ho_421 u ii)))))))))) (let ((_let_669 (forall ((x |u_(-> tptp.produc799602994n_game tptp.option_trm)|) (y |u_(-> tptp.produc799602994n_game tptp.option_trm)|)) (or (not (forall ((z tptp.produc799602994n_game)) (= (ho_421 x z) (ho_421 y z)))) (= x y))))) (let ((_let_670 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.produc62062515n_game)|) (e |u_(-> tptp.produc799602994n_game tptp.produc62062515n_game)|) (i |u_(-> tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.produc62062515n_game)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_trm)|)) (= (ho_481 v ii) (ite (= i ii) e (ho_481 u ii)))))))))) (let ((_let_671 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.produc62062515n_game)|) (y |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.produc62062515n_game)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_trm)|)) (= (ho_481 x z) (ho_481 y z)))) (= x y))))) (let ((_let_672 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|) (e |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|) (i |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)|)) (= (ho_544 v ii) (ite (= i ii) e (ho_544 u ii)))))))))) (let ((_let_673 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)|)) (= (ho_544 x z) (ho_544 y z)))) (= x y))))) (let ((_let_674 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)|) (e |u_(-> tptp.char tptp.option_trm)|) (i |u_(-> tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_fml)|)) (= (ho_542 v ii) (ite (= i ii) e (ho_542 u ii)))))))))) (let ((_let_675 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)|) (y |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_fml)|)) (= (ho_542 x z) (ho_542 y z)))) (= x y))))) (let ((_let_676 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|) (e |u_(-> tptp.produc799602994n_game tptp.option_trm)|) (i |u_(-> tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_trm)|)) (= (ho_425 v ii) (ite (= i ii) e (ho_425 u ii)))))))))) (let ((_let_677 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|) (y |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_trm)|)) (= (ho_425 x z) (ho_425 y z)))) (= x y))))) (let ((_let_678 (forall ((u |u_(-> tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|) (e |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|) (i tptp.char)) (not (forall ((v |u_(-> tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|)) (not (forall ((ii tptp.char)) (= (ho_467 v ii) (ite (= i ii) e (ho_467 u ii)))))))))) (let ((_let_679 (forall ((x |u_(-> tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|) (y |u_(-> tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.option_fml)|)) (or (not (forall ((z tptp.char)) (= (ho_467 x z) (ho_467 y z)))) (= x y))))) (let ((_let_680 (forall ((u |u_(-> tptp.produc1418842292n_game tptp.char tptp.option_fml)|) (e |u_(-> tptp.char tptp.option_fml)|) (i tptp.produc1418842292n_game)) (not (forall ((v |u_(-> tptp.produc1418842292n_game tptp.char tptp.option_fml)|)) (not (forall ((ii tptp.produc1418842292n_game)) (= (ho_486 v ii) (ite (= i ii) e (ho_486 u ii)))))))))) (let ((_let_681 (forall ((x |u_(-> tptp.produc1418842292n_game tptp.char tptp.option_fml)|) (y |u_(-> tptp.produc1418842292n_game tptp.char tptp.option_fml)|)) (or (not (forall ((z tptp.produc1418842292n_game)) (= (ho_486 x z) (ho_486 y z)))) (= x y))))) (let ((_let_682 (forall ((u |u_(-> tptp.char tptp.trm)|) (e tptp.trm) (i tptp.char)) (not (forall ((v |u_(-> tptp.char tptp.trm)|)) (not (forall ((ii tptp.char)) (= (ho_1030 v ii) (ite (= i ii) e (ho_1030 u ii)))))))))) (let ((_let_683 (forall ((x |u_(-> tptp.char tptp.trm)|) (y |u_(-> tptp.char tptp.trm)|)) (or (not (forall ((z tptp.char)) (= (ho_1030 x z) (ho_1030 y z)))) (= x y))))) (let ((_let_684 (forall ((u |u_(-> _u_(-> tptp.produc62062515n_game tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|) (e |u_(-> tptp.produc62062515n_game tptp.char tptp.option_trm)|) (i |u_(-> tptp.produc62062515n_game tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc62062515n_game tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|)) (not (forall ((ii |u_(-> tptp.produc62062515n_game tptp.char tptp.option_trm)|)) (= (ho_778 v ii) (ite (= i ii) e (ho_778 u ii)))))))))) (let ((_let_685 (forall ((x |u_(-> _u_(-> tptp.produc62062515n_game tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|) (y |u_(-> _u_(-> tptp.produc62062515n_game tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|)) (or (not (forall ((z |u_(-> tptp.produc62062515n_game tptp.char tptp.option_trm)|)) (= (ho_778 x z) (ho_778 y z)))) (= x y))))) (let ((_let_686 (forall ((u |u_(-> tptp.produc799602994n_game tptp.produc62062515n_game)|) (e tptp.produc62062515n_game) (i tptp.produc799602994n_game)) (not (forall ((v |u_(-> tptp.produc799602994n_game tptp.produc62062515n_game)|)) (not (forall ((ii tptp.produc799602994n_game)) (= (ho_482 v ii) (ite (= i ii) e (ho_482 u ii)))))))))) (let ((_let_687 (forall ((x |u_(-> tptp.produc799602994n_game tptp.produc62062515n_game)|) (y |u_(-> tptp.produc799602994n_game tptp.produc62062515n_game)|)) (or (not (forall ((z tptp.produc799602994n_game)) (= (ho_482 x z) (ho_482 y z)))) (= x y))))) (let ((_let_688 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (e |u_(-> tptp.produc62062515n_game tptp.char tptp.option_fml)|) (i |u_(-> tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_trm)|)) (= (ho_464 v ii) (ite (= i ii) e (ho_464 u ii)))))))))) (let ((_let_689 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (y |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_trm)|)) (= (ho_464 x z) (ho_464 y z)))) (= x y))))) (let ((_let_690 (forall ((u |u_(-> Bool Bool Bool tptp.char)|) (e |u_(-> Bool Bool tptp.char)|) (i Bool)) (not (forall ((v |u_(-> Bool Bool Bool tptp.char)|)) (not (forall ((ii Bool)) (= (ho_655 v ii) (ite (= i ii) e (ho_655 u ii)))))))))) (let ((_let_691 (forall ((x |u_(-> Bool Bool Bool tptp.char)|) (y |u_(-> Bool Bool Bool tptp.char)|)) (or (not (forall ((z Bool)) (= (ho_655 x z) (ho_655 y z)))) (= x y))))) (let ((_let_692 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|) (e |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|) (i |u_(-> tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_fml)|)) (= (ho_399 v ii) (ite (= i ii) e (ho_399 u ii)))))))))) (let ((_let_693 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|) (y |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_fml)|)) (= (ho_399 x z) (ho_399 y z)))) (= x y))))) (let ((_let_694 (forall ((u |u_(-> tptp.set_Pr943832262on_trm Bool)|) (e Bool) (i tptp.set_Pr943832262on_trm)) (not (forall ((v |u_(-> tptp.set_Pr943832262on_trm Bool)|)) (not (forall ((ii tptp.set_Pr943832262on_trm)) (= (ho_751 v ii) (ite (= i ii) e (ho_751 u ii)))))))))) (let ((_let_695 (forall ((x |u_(-> tptp.set_Pr943832262on_trm Bool)|) (y |u_(-> tptp.set_Pr943832262on_trm Bool)|)) (or (not (forall ((z tptp.set_Pr943832262on_trm)) (= (ho_751 x z) (ho_751 y z)))) (= x y))))) (let ((_let_696 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (e |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (i |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)|)) (= (ho_850 v ii) (ite (= i ii) e (ho_850 u ii)))))))))) (let ((_let_697 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)|)) (= (ho_850 x z) (ho_850 y z)))) (= x y))))) (let ((_let_698 (forall ((u |u_(-> tptp.char tptp.option_fml)|) (e tptp.option_fml) (i tptp.char)) (not (forall ((v |u_(-> tptp.char tptp.option_fml)|)) (not (forall ((ii tptp.char)) (= (ho_384 v ii) (ite (= i ii) e (ho_384 u ii)))))))))) (let ((_let_699 (forall ((x |u_(-> tptp.char tptp.option_fml)|) (y |u_(-> tptp.char tptp.option_fml)|)) (or (not (forall ((z tptp.char)) (= (ho_384 x z) (ho_384 y z)))) (= x y))))) (let ((_let_700 (forall ((u |u_(-> _u_(-> tptp.game tptp.option_game)_ tptp.option_game tptp.option_game)|) (e |u_(-> tptp.option_game tptp.option_game)|) (i |u_(-> tptp.game tptp.option_game)|)) (not (forall ((v |u_(-> _u_(-> tptp.game tptp.option_game)_ tptp.option_game tptp.option_game)|)) (not (forall ((ii |u_(-> tptp.game tptp.option_game)|)) (= (ho_803 v ii) (ite (= i ii) e (ho_803 u ii)))))))))) (let ((_let_701 (forall ((x |u_(-> _u_(-> tptp.game tptp.option_game)_ tptp.option_game tptp.option_game)|) (y |u_(-> _u_(-> tptp.game tptp.option_game)_ tptp.option_game tptp.option_game)|)) (or (not (forall ((z |u_(-> tptp.game tptp.option_game)|)) (= (ho_803 x z) (ho_803 y z)))) (= x y))))) (let ((_let_702 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|) (e |u_(-> tptp.produc799602994n_game Bool)|) (i |u_(-> tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_trm)|)) (= (ho_702 v ii) (ite (= i ii) e (ho_702 u ii)))))))))) (let ((_let_703 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|) (y |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_trm)|)) (= (ho_702 x z) (ho_702 y z)))) (= x y))))) (let ((_let_704 (forall ((u |u_(-> tptp.option_game Bool)|) (e Bool) (i tptp.option_game)) (not (forall ((v |u_(-> tptp.option_game Bool)|)) (not (forall ((ii tptp.option_game)) (= (ho_934 v ii) (ite (= i ii) e (ho_934 u ii)))))))))) (let ((_let_705 (forall ((x |u_(-> tptp.option_game Bool)|) (y |u_(-> tptp.option_game Bool)|)) (or (not (forall ((z tptp.option_game)) (= (ho_934 x z) (ho_934 y z)))) (= x y))))) (let ((_let_706 (forall ((u |u_(-> tptp.option_fml tptp.option_trm Bool)|) (e |u_(-> tptp.option_trm Bool)|) (i tptp.option_fml)) (not (forall ((v |u_(-> tptp.option_fml tptp.option_trm Bool)|)) (not (forall ((ii tptp.option_fml)) (= (ho_1051 v ii) (ite (= i ii) e (ho_1051 u ii)))))))))) (let ((_let_707 (forall ((x |u_(-> tptp.option_fml tptp.option_trm Bool)|) (y |u_(-> tptp.option_fml tptp.option_trm Bool)|)) (or (not (forall ((z tptp.option_fml)) (= (ho_1051 x z) (ho_1051 y z)))) (= x y))))) (let ((_let_708 (forall ((u |u_(-> tptp.option_game tptp.game)|) (e tptp.game) (i tptp.option_game)) (not (forall ((v |u_(-> tptp.option_game tptp.game)|)) (not (forall ((ii tptp.option_game)) (= (ho_1036 v ii) (ite (= i ii) e (ho_1036 u ii)))))))))) (let ((_let_709 (forall ((x |u_(-> tptp.option_game tptp.game)|) (y |u_(-> tptp.option_game tptp.game)|)) (or (not (forall ((z tptp.option_game)) (= (ho_1036 x z) (ho_1036 y z)))) (= x y))))) (let ((_let_710 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|) (e |u_(-> tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|) (i |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|)) (= (ho_450 v ii) (ite (= i ii) e (ho_450 u ii)))))))))) (let ((_let_711 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|)) (= (ho_450 x z) (ho_450 y z)))) (= x y))))) (let ((_let_712 (forall ((u |u_(-> tptp.set_Pr79606376n_game tptp.set_Pr79606376n_game)|) (e tptp.set_Pr79606376n_game) (i tptp.set_Pr79606376n_game)) (not (forall ((v |u_(-> tptp.set_Pr79606376n_game tptp.set_Pr79606376n_game)|)) (not (forall ((ii tptp.set_Pr79606376n_game)) (= (ho_699 v ii) (ite (= i ii) e (ho_699 u ii)))))))))) (let ((_let_713 (forall ((x |u_(-> tptp.set_Pr79606376n_game tptp.set_Pr79606376n_game)|) (y |u_(-> tptp.set_Pr79606376n_game tptp.set_Pr79606376n_game)|)) (or (not (forall ((z tptp.set_Pr79606376n_game)) (= (ho_699 x z) (ho_699 y z)))) (= x y))))) (let ((_let_714 (forall ((u |u_(-> _u_(-> tptp.char Bool)_ _u_(-> tptp.char Bool)_ tptp.char Bool)|) (e |u_(-> _u_(-> tptp.char Bool)_ tptp.char Bool)|) (i |u_(-> tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char Bool)_ _u_(-> tptp.char Bool)_ tptp.char Bool)|)) (not (forall ((ii |u_(-> tptp.char Bool)|)) (= (ho_893 v ii) (ite (= i ii) e (ho_893 u ii)))))))))) (let ((_let_715 (forall ((x |u_(-> _u_(-> tptp.char Bool)_ _u_(-> tptp.char Bool)_ tptp.char Bool)|) (y |u_(-> _u_(-> tptp.char Bool)_ _u_(-> tptp.char Bool)_ tptp.char Bool)|)) (or (not (forall ((z |u_(-> tptp.char Bool)|)) (= (ho_893 x z) (ho_893 y z)))) (= x y))))) (let ((_let_716 (forall ((u |u_(-> tptp.produc62062515n_game tptp.char tptp.option_trm)|) (e |u_(-> tptp.char tptp.option_trm)|) (i tptp.produc62062515n_game)) (not (forall ((v |u_(-> tptp.produc62062515n_game tptp.char tptp.option_trm)|)) (not (forall ((ii tptp.produc62062515n_game)) (= (ho_483 v ii) (ite (= i ii) e (ho_483 u ii)))))))))) (let ((_let_717 (forall ((x |u_(-> tptp.produc62062515n_game tptp.char tptp.option_trm)|) (y |u_(-> tptp.produc62062515n_game tptp.char tptp.option_trm)|)) (or (not (forall ((z tptp.produc62062515n_game)) (= (ho_483 x z) (ho_483 y z)))) (= x y))))) (let ((_let_718 (forall ((u |u_(-> tptp.set_variable tptp.trm tptp.char tptp.option_trm)|) (e |u_(-> tptp.trm tptp.char tptp.option_trm)|) (i tptp.set_variable)) (not (forall ((v |u_(-> tptp.set_variable tptp.trm tptp.char tptp.option_trm)|)) (not (forall ((ii tptp.set_variable)) (= (ho_684 v ii) (ite (= i ii) e (ho_684 u ii)))))))))) (let ((_let_719 (forall ((x |u_(-> tptp.set_variable tptp.trm tptp.char tptp.option_trm)|) (y |u_(-> tptp.set_variable tptp.trm tptp.char tptp.option_trm)|)) (or (not (forall ((z tptp.set_variable)) (= (ho_684 x z) (ho_684 y z)))) (= x y))))) (let ((_let_720 (forall ((u |u_(-> _u_(-> tptp.option_fml Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.option_fml Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.option_fml Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.option_fml Bool)|)) (= (ho_940 v ii) (ite (= i ii) e (ho_940 u ii)))))))))) (let ((_let_721 (forall ((x |u_(-> _u_(-> tptp.option_fml Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.option_fml Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.option_fml Bool)|)) (= (ho_940 x z) (ho_940 y z)))) (= x y))))) (let ((_let_722 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_trm)_ tptp.produc1418842292n_game tptp.char tptp.option_trm)|) (e |u_(-> tptp.produc1418842292n_game tptp.char tptp.option_trm)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_trm)_ tptp.produc1418842292n_game tptp.char tptp.option_trm)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|)) (= (ho_672 v ii) (ite (= i ii) e (ho_672 u ii)))))))))) (let ((_let_723 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_trm)_ tptp.produc1418842292n_game tptp.char tptp.option_trm)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_trm)_ tptp.produc1418842292n_game tptp.char tptp.option_trm)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|)) (= (ho_672 x z) (ho_672 y z)))) (= x y))))) (let ((_let_724 (forall ((u |u_(-> tptp.produc799602994n_game tptp.char tptp.option_fml)|) (e |u_(-> tptp.char tptp.option_fml)|) (i tptp.produc799602994n_game)) (not (forall ((v |u_(-> tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (not (forall ((ii tptp.produc799602994n_game)) (= (ho_459 v ii) (ite (= i ii) e (ho_459 u ii)))))))))) (let ((_let_725 (forall ((x |u_(-> tptp.produc799602994n_game tptp.char tptp.option_fml)|) (y |u_(-> tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (or (not (forall ((z tptp.produc799602994n_game)) (= (ho_459 x z) (ho_459 y z)))) (= x y))))) (let ((_let_726 (forall ((u |u_(-> _u_(-> tptp.produc62062515n_game tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|) (e |u_(-> tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|) (i |u_(-> tptp.produc62062515n_game tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc62062515n_game tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|)) (not (forall ((ii |u_(-> tptp.produc62062515n_game tptp.char tptp.option_trm)|)) (= (ho_485 v ii) (ite (= i ii) e (ho_485 u ii)))))))))) (let ((_let_727 (forall ((x |u_(-> _u_(-> tptp.produc62062515n_game tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|) (y |u_(-> _u_(-> tptp.produc62062515n_game tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|)) (or (not (forall ((z |u_(-> tptp.produc62062515n_game tptp.char tptp.option_trm)|)) (= (ho_485 x z) (ho_485 y z)))) (= x y))))) (let ((_let_728 (forall ((u |u_(-> tptp.char tptp.option_trm)|) (e tptp.option_trm) (i tptp.char)) (not (forall ((v |u_(-> tptp.char tptp.option_trm)|)) (not (forall ((ii tptp.char)) (= (ho_385 v ii) (ite (= i ii) e (ho_385 u ii)))))))))) (let ((_let_729 (forall ((x |u_(-> tptp.char tptp.option_trm)|) (y |u_(-> tptp.char tptp.option_trm)|)) (or (not (forall ((z tptp.char)) (= (ho_385 x z) (ho_385 y z)))) (= x y))))) (let ((_let_730 (forall ((u |u_(-> tptp.produc62062515n_game tptp.option_trm)|) (e tptp.option_trm) (i tptp.produc62062515n_game)) (not (forall ((v |u_(-> tptp.produc62062515n_game tptp.option_trm)|)) (not (forall ((ii tptp.produc62062515n_game)) (= (ho_622 v ii) (ite (= i ii) e (ho_622 u ii)))))))))) (let ((_let_731 (forall ((x |u_(-> tptp.produc62062515n_game tptp.option_trm)|) (y |u_(-> tptp.produc62062515n_game tptp.option_trm)|)) (or (not (forall ((z tptp.produc62062515n_game)) (= (ho_622 x z) (ho_622 y z)))) (= x y))))) (let ((_let_732 (forall ((u |u_(-> tptp.set_char tptp.set_char)|) (e tptp.set_char) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char tptp.set_char)|)) (not (forall ((ii tptp.set_char)) (= (ho_891 v ii) (ite (= i ii) e (ho_891 u ii)))))))))) (let ((_let_733 (forall ((x |u_(-> tptp.set_char tptp.set_char)|) (y |u_(-> tptp.set_char tptp.set_char)|)) (or (not (forall ((z tptp.set_char)) (= (ho_891 x z) (ho_891 y z)))) (= x y))))) (let ((_let_734 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.set_char)|) (e |u_(-> tptp.produc62062515n_game tptp.set_char)|) (i |u_(-> tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.set_char)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_trm)|)) (= (ho_1107 v ii) (ite (= i ii) e (ho_1107 u ii)))))))))) (let ((_let_735 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.set_char)|) (y |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.set_char)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_trm)|)) (= (ho_1107 x z) (ho_1107 y z)))) (= x y))))) (let ((_let_736 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|) (e |u_(-> tptp.char tptp.option_fml)|) (i |u_(-> tptp.char tptp.option_game)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_game)|)) (= (ho_451 v ii) (ite (= i ii) e (ho_451 u ii)))))))))) (let ((_let_737 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|) (y |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_game)|)) (= (ho_451 x z) (ho_451 y z)))) (= x y))))) (let ((_let_738 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (e |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)|)) (= (ho_854 v ii) (ite (= i ii) e (ho_854 u ii)))))))))) (let ((_let_739 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)|)) (= (ho_854 x z) (ho_854 y z)))) (= x y))))) (let ((_let_740 (forall ((u |u_(-> tptp.fml tptp.set_variable)|) (e tptp.set_variable) (i tptp.fml)) (not (forall ((v |u_(-> tptp.fml tptp.set_variable)|)) (not (forall ((ii tptp.fml)) (= (ho_644 v ii) (ite (= i ii) e (ho_644 u ii)))))))))) (let ((_let_741 (forall ((x |u_(-> tptp.fml tptp.set_variable)|) (y |u_(-> tptp.fml tptp.set_variable)|)) (or (not (forall ((z tptp.fml)) (= (ho_644 x z) (ho_644 y z)))) (= x y))))) (let ((_let_742 (forall ((u |u_(-> tptp.produc1418842292n_game tptp.char tptp.set_variable tptp.variable Bool)|) (e |u_(-> tptp.char tptp.set_variable tptp.variable Bool)|) (i tptp.produc1418842292n_game)) (not (forall ((v |u_(-> tptp.produc1418842292n_game tptp.char tptp.set_variable tptp.variable Bool)|)) (not (forall ((ii tptp.produc1418842292n_game)) (= (ho_677 v ii) (ite (= i ii) e (ho_677 u ii)))))))))) (let ((_let_743 (forall ((x |u_(-> tptp.produc1418842292n_game tptp.char tptp.set_variable tptp.variable Bool)|) (y |u_(-> tptp.produc1418842292n_game tptp.char tptp.set_variable tptp.variable Bool)|)) (or (not (forall ((z tptp.produc1418842292n_game)) (= (ho_677 x z) (ho_677 y z)))) (= x y))))) (let ((_let_744 (forall ((u |u_(-> tptp.set_variable Bool)|) (e Bool) (i tptp.set_variable)) (not (forall ((v |u_(-> tptp.set_variable Bool)|)) (not (forall ((ii tptp.set_variable)) (= (ho_529 v ii) (ite (= i ii) e (ho_529 u ii)))))))))) (let ((_let_745 (forall ((x |u_(-> tptp.set_variable Bool)|) (y |u_(-> tptp.set_variable Bool)|)) (or (not (forall ((z tptp.set_variable)) (= (ho_529 x z) (ho_529 y z)))) (= x y))))) (let ((_let_746 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|) (e |u_(-> tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|) (i |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|)) (= (ho_550 v ii) (ite (= i ii) e (ho_550 u ii)))))))))) (let ((_let_747 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|)) (= (ho_550 x z) (ho_550 y z)))) (= x y))))) (let ((_let_748 (forall ((u |u_(-> tptp.variable tptp.option_trm Bool)|) (e |u_(-> tptp.option_trm Bool)|) (i tptp.variable)) (not (forall ((v |u_(-> tptp.variable tptp.option_trm Bool)|)) (not (forall ((ii tptp.variable)) (= (ho_1032 v ii) (ite (= i ii) e (ho_1032 u ii)))))))))) (let ((_let_749 (forall ((x |u_(-> tptp.variable tptp.option_trm Bool)|) (y |u_(-> tptp.variable tptp.option_trm Bool)|)) (or (not (forall ((z tptp.variable)) (= (ho_1032 x z) (ho_1032 y z)))) (= x y))))) (let ((_let_750 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|) (e |u_(-> tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (= (ho_458 v ii) (ite (= i ii) e (ho_458 u ii)))))))))) (let ((_let_751 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (= (ho_458 x z) (ho_458 y z)))) (= x y))))) (let ((_let_752 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|) (e |u_(-> tptp.char tptp.option_trm)|) (i |u_(-> tptp.char tptp.option_game)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_game)|)) (= (ho_455 v ii) (ite (= i ii) e (ho_455 u ii)))))))))) (let ((_let_753 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|) (y |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_game)|)) (= (ho_455 x z) (ho_455 y z)))) (= x y))))) (let ((_let_754 (forall ((u |u_(-> tptp.set_variable tptp.trm tptp.option_trm)|) (e |u_(-> tptp.trm tptp.option_trm)|) (i tptp.set_variable)) (not (forall ((v |u_(-> tptp.set_variable tptp.trm tptp.option_trm)|)) (not (forall ((ii tptp.set_variable)) (= (ho_681 v ii) (ite (= i ii) e (ho_681 u ii)))))))))) (let ((_let_755 (forall ((x |u_(-> tptp.set_variable tptp.trm tptp.option_trm)|) (y |u_(-> tptp.set_variable tptp.trm tptp.option_trm)|)) (or (not (forall ((z tptp.set_variable)) (= (ho_681 x z) (ho_681 y z)))) (= x y))))) (let ((_let_756 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)_ tptp.produc1418842292n_game tptp.char tptp.option_fml)|) (e |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)_ tptp.produc1418842292n_game tptp.char tptp.option_fml)|) (i |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)_ tptp.produc1418842292n_game tptp.char tptp.option_fml)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|)) (= (ho_875 v ii) (ite (= i ii) e (ho_875 u ii)))))))))) (let ((_let_757 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)_ tptp.produc1418842292n_game tptp.char tptp.option_fml)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)_ tptp.produc1418842292n_game tptp.char tptp.option_fml)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|)) (= (ho_875 x z) (ho_875 y z)))) (= x y))))) (let ((_let_758 (forall ((u |u_(-> tptp.option_fml Bool)|) (e Bool) (i tptp.option_fml)) (not (forall ((v |u_(-> tptp.option_fml Bool)|)) (not (forall ((ii tptp.option_fml)) (= (ho_938 v ii) (ite (= i ii) e (ho_938 u ii)))))))))) (let ((_let_759 (forall ((x |u_(-> tptp.option_fml Bool)|) (y |u_(-> tptp.option_fml Bool)|)) (or (not (forall ((z tptp.option_fml)) (= (ho_938 x z) (ho_938 y z)))) (= x y))))) (let ((_let_760 (forall ((u |u_(-> tptp.trm tptp.set_char)|) (e tptp.set_char) (i tptp.trm)) (not (forall ((v |u_(-> tptp.trm tptp.set_char)|)) (not (forall ((ii tptp.trm)) (= (ho_1106 v ii) (ite (= i ii) e (ho_1106 u ii)))))))))) (let ((_let_761 (forall ((x |u_(-> tptp.trm tptp.set_char)|) (y |u_(-> tptp.trm tptp.set_char)|)) (or (not (forall ((z tptp.trm)) (= (ho_1106 x z) (ho_1106 y z)))) (= x y))))) (let ((_let_762 (forall ((u |u_(-> tptp.trm tptp.set_variable tptp.variable Bool)|) (e |u_(-> tptp.set_variable tptp.variable Bool)|) (i tptp.trm)) (not (forall ((v |u_(-> tptp.trm tptp.set_variable tptp.variable Bool)|)) (not (forall ((ii tptp.trm)) (= (ho_666 v ii) (ite (= i ii) e (ho_666 u ii)))))))))) (let ((_let_763 (forall ((x |u_(-> tptp.trm tptp.set_variable tptp.variable Bool)|) (y |u_(-> tptp.trm tptp.set_variable tptp.variable Bool)|)) (or (not (forall ((z tptp.trm)) (= (ho_666 x z) (ho_666 y z)))) (= x y))))) (let ((_let_764 (forall ((u |u_(-> tptp.variable Bool)|) (e Bool) (i tptp.variable)) (not (forall ((v |u_(-> tptp.variable Bool)|)) (not (forall ((ii tptp.variable)) (= (ho_526 v ii) (ite (= i ii) e (ho_526 u ii)))))))))) (let ((_let_765 (forall ((x |u_(-> tptp.variable Bool)|) (y |u_(-> tptp.variable Bool)|)) (or (not (forall ((z tptp.variable)) (= (ho_526 x z) (ho_526 y z)))) (= x y))))) (let ((_let_766 (forall ((u |u_(-> tptp.set_variable tptp.variable Bool)|) (e |u_(-> tptp.variable Bool)|) (i tptp.set_variable)) (not (forall ((v |u_(-> tptp.set_variable tptp.variable Bool)|)) (not (forall ((ii tptp.set_variable)) (= (ho_525 v ii) (ite (= i ii) e (ho_525 u ii)))))))))) (let ((_let_767 (forall ((x |u_(-> tptp.set_variable tptp.variable Bool)|) (y |u_(-> tptp.set_variable tptp.variable Bool)|)) (or (not (forall ((z tptp.set_variable)) (= (ho_525 x z) (ho_525 y z)))) (= x y))))) (let ((_let_768 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|) (e |u_(-> tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|) (i |u_(-> tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_trm)|)) (= (ho_423 v ii) (ite (= i ii) e (ho_423 u ii)))))))))) (let ((_let_769 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|) (y |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_trm)|)) (= (ho_423 x z) (ho_423 y z)))) (= x y))))) (let ((_let_770 (forall ((u |u_(-> tptp.trm tptp.char tptp.option_trm)|) (e |u_(-> tptp.char tptp.option_trm)|) (i tptp.trm)) (not (forall ((v |u_(-> tptp.trm tptp.char tptp.option_trm)|)) (not (forall ((ii tptp.trm)) (= (ho_663 v ii) (ite (= i ii) e (ho_663 u ii)))))))))) (let ((_let_771 (forall ((x |u_(-> tptp.trm tptp.char tptp.option_trm)|) (y |u_(-> tptp.trm tptp.char tptp.option_trm)|)) (or (not (forall ((z tptp.trm)) (= (ho_663 x z) (ho_663 y z)))) (= x y))))) (let ((_let_772 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|) (e |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)|)) (= (ho_549 v ii) (ite (= i ii) e (ho_549 u ii)))))))))) (let ((_let_773 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)|)) (= (ho_549 x z) (ho_549 y z)))) (= x y))))) (let ((_let_774 (forall ((u |u_(-> _u_(-> tptp.fml tptp.fml tptp.fml)_ tptp.fml tptp.option_fml)|) (e |u_(-> tptp.fml tptp.option_fml)|) (i |u_(-> tptp.fml tptp.fml tptp.fml)|)) (not (forall ((v |u_(-> _u_(-> tptp.fml tptp.fml tptp.fml)_ tptp.fml tptp.option_fml)|)) (not (forall ((ii |u_(-> tptp.fml tptp.fml tptp.fml)|)) (= (ho_820 v ii) (ite (= i ii) e (ho_820 u ii)))))))))) (let ((_let_775 (forall ((x |u_(-> _u_(-> tptp.fml tptp.fml tptp.fml)_ tptp.fml tptp.option_fml)|) (y |u_(-> _u_(-> tptp.fml tptp.fml tptp.fml)_ tptp.fml tptp.option_fml)|)) (or (not (forall ((z |u_(-> tptp.fml tptp.fml tptp.fml)|)) (= (ho_820 x z) (ho_820 y z)))) (= x y))))) (let ((_let_776 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|) (e |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)|)) (= (ho_564 v ii) (ite (= i ii) e (ho_564 u ii)))))))))) (let ((_let_777 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)|)) (= (ho_564 x z) (ho_564 y z)))) (= x y))))) (let ((_let_778 (forall ((u |u_(-> tptp.variable tptp.set_variable Bool)|) (e |u_(-> tptp.set_variable Bool)|) (i tptp.variable)) (not (forall ((v |u_(-> tptp.variable tptp.set_variable Bool)|)) (not (forall ((ii tptp.variable)) (= (ho_528 v ii) (ite (= i ii) e (ho_528 u ii)))))))))) (let ((_let_779 (forall ((x |u_(-> tptp.variable tptp.set_variable Bool)|) (y |u_(-> tptp.variable tptp.set_variable Bool)|)) (or (not (forall ((z tptp.variable)) (= (ho_528 x z) (ho_528 y z)))) (= x y))))) (let ((_let_780 (forall ((u |u_(-> tptp.char Bool)|) (e Bool) (i tptp.char)) (not (forall ((v |u_(-> tptp.char Bool)|)) (not (forall ((ii tptp.char)) (= (ho_533 v ii) (ite (= i ii) e (ho_533 u ii)))))))))) (let ((_let_781 (forall ((x |u_(-> tptp.char Bool)|) (y |u_(-> tptp.char Bool)|)) (or (not (forall ((z tptp.char)) (= (ho_533 x z) (ho_533 y z)))) (= x y))))) (let ((_let_782 (forall ((u |u_(-> tptp.set_char tptp.char Bool)|) (e |u_(-> tptp.char Bool)|) (i tptp.set_char)) (not (forall ((v |u_(-> tptp.set_char tptp.char Bool)|)) (not (forall ((ii tptp.set_char)) (= (ho_532 v ii) (ite (= i ii) e (ho_532 u ii)))))))))) (let ((_let_783 (forall ((x |u_(-> tptp.set_char tptp.char Bool)|) (y |u_(-> tptp.set_char tptp.char Bool)|)) (or (not (forall ((z tptp.set_char)) (= (ho_532 x z) (ho_532 y z)))) (= x y))))) (let ((_let_784 (forall ((u |u_(-> tptp.set_Pr79606376n_game tptp.set_Pr79606376n_game tptp.set_Pr79606376n_game)|) (e |u_(-> tptp.set_Pr79606376n_game tptp.set_Pr79606376n_game)|) (i tptp.set_Pr79606376n_game)) (not (forall ((v |u_(-> tptp.set_Pr79606376n_game tptp.set_Pr79606376n_game tptp.set_Pr79606376n_game)|)) (not (forall ((ii tptp.set_Pr79606376n_game)) (= (ho_698 v ii) (ite (= i ii) e (ho_698 u ii)))))))))) (let ((_let_785 (forall ((x |u_(-> tptp.set_Pr79606376n_game tptp.set_Pr79606376n_game tptp.set_Pr79606376n_game)|) (y |u_(-> tptp.set_Pr79606376n_game tptp.set_Pr79606376n_game tptp.set_Pr79606376n_game)|)) (or (not (forall ((z tptp.set_Pr79606376n_game)) (= (ho_698 x z) (ho_698 y z)))) (= x y))))) (let ((_let_786 (forall ((u |u_(-> tptp.option_trm tptp.option_fml)|) (e tptp.option_fml) (i tptp.option_trm)) (not (forall ((v |u_(-> tptp.option_trm tptp.option_fml)|)) (not (forall ((ii tptp.option_trm)) (= (ho_1071 v ii) (ite (= i ii) e (ho_1071 u ii)))))))))) (let ((_let_787 (forall ((x |u_(-> tptp.option_trm tptp.option_fml)|) (y |u_(-> tptp.option_trm tptp.option_fml)|)) (or (not (forall ((z tptp.option_trm)) (= (ho_1071 x z) (ho_1071 y z)))) (= x y))))) (let ((_let_788 (forall ((u |u_(-> _u_(-> tptp.set_variable tptp.trm Bool)_ _u_(-> tptp.set_variable tptp.trm Bool)_ tptp.set_variable tptp.trm Bool)|) (e |u_(-> _u_(-> tptp.set_variable tptp.trm Bool)_ tptp.set_variable tptp.trm Bool)|) (i |u_(-> tptp.set_variable tptp.trm Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_variable tptp.trm Bool)_ _u_(-> tptp.set_variable tptp.trm Bool)_ tptp.set_variable tptp.trm Bool)|)) (not (forall ((ii |u_(-> tptp.set_variable tptp.trm Bool)|)) (= (ho_1126 v ii) (ite (= i ii) e (ho_1126 u ii)))))))))) (let ((_let_789 (forall ((x |u_(-> _u_(-> tptp.set_variable tptp.trm Bool)_ _u_(-> tptp.set_variable tptp.trm Bool)_ tptp.set_variable tptp.trm Bool)|) (y |u_(-> _u_(-> tptp.set_variable tptp.trm Bool)_ _u_(-> tptp.set_variable tptp.trm Bool)_ tptp.set_variable tptp.trm Bool)|)) (or (not (forall ((z |u_(-> tptp.set_variable tptp.trm Bool)|)) (= (ho_1126 x z) (ho_1126 y z)))) (= x y))))) (let ((_let_790 (forall ((u |u_(-> tptp.produc62062515n_game tptp.char tptp.option_fml)|) (e |u_(-> tptp.char tptp.option_fml)|) (i tptp.produc62062515n_game)) (not (forall ((v |u_(-> tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (not (forall ((ii tptp.produc62062515n_game)) (= (ho_470 v ii) (ite (= i ii) e (ho_470 u ii)))))))))) (let ((_let_791 (forall ((x |u_(-> tptp.produc62062515n_game tptp.char tptp.option_fml)|) (y |u_(-> tptp.produc62062515n_game tptp.char tptp.option_fml)|)) (or (not (forall ((z tptp.produc62062515n_game)) (= (ho_470 x z) (ho_470 y z)))) (= x y))))) (let ((_let_792 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.produc799602994n_game)|) (e |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.produc799602994n_game)|) (i |u_(-> tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.produc799602994n_game)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_fml)|)) (= (ho_474 v ii) (ite (= i ii) e (ho_474 u ii)))))))))) (let ((_let_793 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.produc799602994n_game)|) (y |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.produc799602994n_game)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_fml)|)) (= (ho_474 x z) (ho_474 y z)))) (= x y))))) (let ((_let_794 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|) (e |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|) (i |u_(-> tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_fml)|)) (= (ho_448 v ii) (ite (= i ii) e (ho_448 u ii)))))))))) (let ((_let_795 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|) (y |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_fml)|)) (= (ho_448 x z) (ho_448 y z)))) (= x y))))) (let ((_let_796 (forall ((u |u_(-> tptp.char tptp.option_trm tptp.produc464795408on_trm)|) (e |u_(-> tptp.option_trm tptp.produc464795408on_trm)|) (i tptp.char)) (not (forall ((v |u_(-> tptp.char tptp.option_trm tptp.produc464795408on_trm)|)) (not (forall ((ii tptp.char)) (= (ho_747 v ii) (ite (= i ii) e (ho_747 u ii)))))))))) (let ((_let_797 (forall ((x |u_(-> tptp.char tptp.option_trm tptp.produc464795408on_trm)|) (y |u_(-> tptp.char tptp.option_trm tptp.produc464795408on_trm)|)) (or (not (forall ((z tptp.char)) (= (ho_747 x z) (ho_747 y z)))) (= x y))))) (let ((_let_798 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|) (e |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|) (i |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|)) (= (ho_540 v ii) (ite (= i ii) e (ho_540 u ii)))))))))) (let ((_let_799 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_fml)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|)) (= (ho_540 x z) (ho_540 y z)))) (= x y))))) (let ((_let_800 (forall ((u |u_(-> tptp.produc799602994n_game Bool)|) (e Bool) (i tptp.produc799602994n_game)) (not (forall ((v |u_(-> tptp.produc799602994n_game Bool)|)) (not (forall ((ii tptp.produc799602994n_game)) (= (ho_703 v ii) (ite (= i ii) e (ho_703 u ii)))))))))) (let ((_let_801 (forall ((x |u_(-> tptp.produc799602994n_game Bool)|) (y |u_(-> tptp.produc799602994n_game Bool)|)) (or (not (forall ((z tptp.produc799602994n_game)) (= (ho_703 x z) (ho_703 y z)))) (= x y))))) (let ((_let_802 (forall ((u |u_(-> tptp.produc799602994n_game tptp.option_fml)|) (e tptp.option_fml) (i tptp.produc799602994n_game)) (not (forall ((v |u_(-> tptp.produc799602994n_game tptp.option_fml)|)) (not (forall ((ii tptp.produc799602994n_game)) (= (ho_441 v ii) (ite (= i ii) e (ho_441 u ii)))))))))) (let ((_let_803 (forall ((x |u_(-> tptp.produc799602994n_game tptp.option_fml)|) (y |u_(-> tptp.produc799602994n_game tptp.option_fml)|)) (or (not (forall ((z tptp.produc799602994n_game)) (= (ho_441 x z) (ho_441 y z)))) (= x y))))) (let ((_let_804 (forall ((u |u_(-> _u_(-> tptp.char Bool)_ tptp.char Bool)|) (e |u_(-> tptp.char Bool)|) (i |u_(-> tptp.char Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char Bool)_ tptp.char Bool)|)) (not (forall ((ii |u_(-> tptp.char Bool)|)) (= (ho_894 v ii) (ite (= i ii) e (ho_894 u ii)))))))))) (let ((_let_805 (forall ((x |u_(-> _u_(-> tptp.char Bool)_ tptp.char Bool)|) (y |u_(-> _u_(-> tptp.char Bool)_ tptp.char Bool)|)) (or (not (forall ((z |u_(-> tptp.char Bool)|)) (= (ho_894 x z) (ho_894 y z)))) (= x y))))) (let ((_let_806 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|) (e |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|) (i |u_(-> tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_fml)|)) (= (ho_389 v ii) (ite (= i ii) e (ho_389 u ii)))))))))) (let ((_let_807 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|) (y |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_fml)|)) (= (ho_389 x z) (ho_389 y z)))) (= x y))))) (let ((_let_808 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)|) (e |u_(-> tptp.char tptp.option_trm)|) (i |u_(-> tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_trm)|)) (= (ho_552 v ii) (ite (= i ii) e (ho_552 u ii)))))))))) (let ((_let_809 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)|) (y |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_trm)|)) (= (ho_552 x z) (ho_552 y z)))) (= x y))))) (let ((_let_810 (forall ((u |u_(-> tptp.produc799602994n_game tptp.set_Pr79606376n_game Bool)|) (e |u_(-> tptp.set_Pr79606376n_game Bool)|) (i tptp.produc799602994n_game)) (not (forall ((v |u_(-> tptp.produc799602994n_game tptp.set_Pr79606376n_game Bool)|)) (not (forall ((ii tptp.produc799602994n_game)) (= (ho_692 v ii) (ite (= i ii) e (ho_692 u ii)))))))))) (let ((_let_811 (forall ((x |u_(-> tptp.produc799602994n_game tptp.set_Pr79606376n_game Bool)|) (y |u_(-> tptp.produc799602994n_game tptp.set_Pr79606376n_game Bool)|)) (or (not (forall ((z tptp.produc799602994n_game)) (= (ho_692 x z) (ho_692 y z)))) (= x y))))) (let ((_let_812 (forall ((u |u_(-> tptp.set_variable tptp.produc1418842292n_game tptp.trm tptp.char tptp.option_trm)|) (e |u_(-> tptp.produc1418842292n_game tptp.trm tptp.char tptp.option_trm)|) (i tptp.set_variable)) (not (forall ((v |u_(-> tptp.set_variable tptp.produc1418842292n_game tptp.trm tptp.char tptp.option_trm)|)) (not (forall ((ii tptp.set_variable)) (= (ho_828 v ii) (ite (= i ii) e (ho_828 u ii)))))))))) (let ((_let_813 (forall ((x |u_(-> tptp.set_variable tptp.produc1418842292n_game tptp.trm tptp.char tptp.option_trm)|) (y |u_(-> tptp.set_variable tptp.produc1418842292n_game tptp.trm tptp.char tptp.option_trm)|)) (or (not (forall ((z tptp.set_variable)) (= (ho_828 x z) (ho_828 y z)))) (= x y))))) (let ((_let_814 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (e |u_(-> tptp.produc799602994n_game tptp.char tptp.option_trm)|) (i |u_(-> tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_trm)|)) (= (ho_460 v ii) (ite (= i ii) e (ho_460 u ii)))))))))) (let ((_let_815 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (y |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_trm)|)) (= (ho_460 x z) (ho_460 y z)))) (= x y))))) (let ((_let_816 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|) (e |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|) (i |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|)) (= (ho_557 v ii) (ite (= i ii) e (ho_557 u ii)))))))))) (let ((_let_817 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_fml)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|)) (= (ho_557 x z) (ho_557 y z)))) (= x y))))) (let ((_let_818 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)|) (e |u_(-> tptp.char tptp.option_fml)|) (i |u_(-> tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_trm)|)) (= (ho_547 v ii) (ite (= i ii) e (ho_547 u ii)))))))))) (let ((_let_819 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)|) (y |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_trm)|)) (= (ho_547 x z) (ho_547 y z)))) (= x y))))) (let ((_let_820 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|) (e |u_(-> tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (= (ho_561 v ii) (ite (= i ii) e (ho_561 u ii)))))))))) (let ((_let_821 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|)) (= (ho_561 x z) (ho_561 y z)))) (= x y))))) (let ((_let_822 (forall ((u |u_(-> tptp.game Bool)|) (e Bool) (i tptp.game)) (not (forall ((v |u_(-> tptp.game Bool)|)) (not (forall ((ii tptp.game)) (= (ho_976 v ii) (ite (= i ii) e (ho_976 u ii)))))))))) (let ((_let_823 (forall ((x |u_(-> tptp.game Bool)|) (y |u_(-> tptp.game Bool)|)) (or (not (forall ((z tptp.game)) (= (ho_976 x z) (ho_976 y z)))) (= x y))))) (let ((_let_824 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|) (e |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|) (i |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)|)) (= (ho_560 v ii) (ite (= i ii) e (ho_560 u ii)))))))))) (let ((_let_825 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)|)) (= (ho_560 x z) (ho_560 y z)))) (= x y))))) (let ((_let_826 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|) (e |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)|)) (= (ho_568 v ii) (ite (= i ii) e (ho_568 u ii)))))))))) (let ((_let_827 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.option_trm)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)|)) (= (ho_568 x z) (ho_568 y z)))) (= x y))))) (let ((_let_828 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|) (e |u_(-> tptp.produc62062515n_game tptp.char tptp.option_trm)|) (i |u_(-> tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_trm)|)) (= (ho_624 v ii) (ite (= i ii) e (ho_624 u ii)))))))))) (let ((_let_829 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|) (y |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_trm)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_trm)|)) (= (ho_624 x z) (ho_624 y z)))) (= x y))))) (let ((_let_830 (forall ((u |u_(-> tptp.fml tptp.set_variable tptp.variable Bool)|) (e |u_(-> tptp.set_variable tptp.variable Bool)|) (i tptp.fml)) (not (forall ((v |u_(-> tptp.fml tptp.set_variable tptp.variable Bool)|)) (not (forall ((ii tptp.fml)) (= (ho_642 v ii) (ite (= i ii) e (ho_642 u ii)))))))))) (let ((_let_831 (forall ((x |u_(-> tptp.fml tptp.set_variable tptp.variable Bool)|) (y |u_(-> tptp.fml tptp.set_variable tptp.variable Bool)|)) (or (not (forall ((z tptp.fml)) (= (ho_642 x z) (ho_642 y z)))) (= x y))))) (let ((_let_832 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.option_game)_ Bool)|) (i |u_(-> tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_fml)|)) (= (ho_689 v ii) (ite (= i ii) e (ho_689 u ii)))))))))) (let ((_let_833 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|) (y |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_fml)|)) (= (ho_689 x z) (ho_689 y z)))) (= x y))))) (let ((_let_834 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|) (e |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)|)) (= (ho_554 v ii) (ite (= i ii) e (ho_554 u ii)))))))))) (let ((_let_835 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)_ _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)|)) (= (ho_554 x z) (ho_554 y z)))) (= x y))))) (let ((_let_836 (forall ((u |u_(-> Bool Bool tptp.char)|) (e |u_(-> Bool tptp.char)|) (i Bool)) (not (forall ((v |u_(-> Bool Bool tptp.char)|)) (not (forall ((ii Bool)) (= (ho_656 v ii) (ite (= i ii) e (ho_656 u ii)))))))))) (let ((_let_837 (forall ((x |u_(-> Bool Bool tptp.char)|) (y |u_(-> Bool Bool tptp.char)|)) (or (not (forall ((z Bool)) (= (ho_656 x z) (ho_656 y z)))) (= x y))))) (let ((_let_838 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|) (e |u_(-> tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|) (i |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|)) (= (ho_454 v ii) (ite (= i ii) e (ho_454 u ii)))))))))) (let ((_let_839 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)_ tptp.char _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.option_trm)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|)) (= (ho_454 x z) (ho_454 y z)))) (= x y))))) (let ((_let_840 (forall ((u |u_(-> Bool Bool Bool Bool Bool Bool Bool Bool tptp.char)|) (e |u_(-> Bool Bool Bool Bool Bool Bool Bool tptp.char)|) (i Bool)) (not (forall ((v |u_(-> Bool Bool Bool Bool Bool Bool Bool Bool tptp.char)|)) (not (forall ((ii Bool)) (= (ho_650 v ii) (ite (= i ii) e (ho_650 u ii)))))))))) (let ((_let_841 (forall ((x |u_(-> Bool Bool Bool Bool Bool Bool Bool Bool tptp.char)|) (y |u_(-> Bool Bool Bool Bool Bool Bool Bool Bool tptp.char)|)) (or (not (forall ((z Bool)) (= (ho_650 x z) (ho_650 y z)))) (= x y))))) (let ((_let_842 (forall ((u |u_(-> tptp.char tptp.trm tptp.trm)|) (e |u_(-> tptp.trm tptp.trm)|) (i tptp.char)) (not (forall ((v |u_(-> tptp.char tptp.trm tptp.trm)|)) (not (forall ((ii tptp.char)) (= (ho_1038 v ii) (ite (= i ii) e (ho_1038 u ii)))))))))) (let ((_let_843 (forall ((x |u_(-> tptp.char tptp.trm tptp.trm)|) (y |u_(-> tptp.char tptp.trm tptp.trm)|)) (or (not (forall ((z tptp.char)) (= (ho_1038 x z) (ho_1038 y z)))) (= x y))))) (let ((_let_844 (forall ((u |u_(-> tptp.char tptp.set_variable tptp.variable Bool)|) (e |u_(-> tptp.set_variable tptp.variable Bool)|) (i tptp.char)) (not (forall ((v |u_(-> tptp.char tptp.set_variable tptp.variable Bool)|)) (not (forall ((ii tptp.char)) (= (ho_678 v ii) (ite (= i ii) e (ho_678 u ii)))))))))) (let ((_let_845 (forall ((x |u_(-> tptp.char tptp.set_variable tptp.variable Bool)|) (y |u_(-> tptp.char tptp.set_variable tptp.variable Bool)|)) (or (not (forall ((z tptp.char)) (= (ho_678 x z) (ho_678 y z)))) (= x y))))) (let ((_let_846 (forall ((u |u_(-> tptp.trm tptp.set_variable)|) (e tptp.set_variable) (i tptp.trm)) (not (forall ((v |u_(-> tptp.trm tptp.set_variable)|)) (not (forall ((ii tptp.trm)) (= (ho_668 v ii) (ite (= i ii) e (ho_668 u ii)))))))))) (let ((_let_847 (forall ((x |u_(-> tptp.trm tptp.set_variable)|) (y |u_(-> tptp.trm tptp.set_variable)|)) (or (not (forall ((z tptp.trm)) (= (ho_668 x z) (ho_668 y z)))) (= x y))))) (let ((_let_848 (forall ((u |u_(-> tptp.produc1418842292n_game tptp.set_variable tptp.trm tptp.char tptp.option_trm)|) (e |u_(-> tptp.set_variable tptp.trm tptp.char tptp.option_trm)|) (i tptp.produc1418842292n_game)) (not (forall ((v |u_(-> tptp.produc1418842292n_game tptp.set_variable tptp.trm tptp.char tptp.option_trm)|)) (not (forall ((ii tptp.produc1418842292n_game)) (= (ho_683 v ii) (ite (= i ii) e (ho_683 u ii)))))))))) (let ((_let_849 (forall ((x |u_(-> tptp.produc1418842292n_game tptp.set_variable tptp.trm tptp.char tptp.option_trm)|) (y |u_(-> tptp.produc1418842292n_game tptp.set_variable tptp.trm tptp.char tptp.option_trm)|)) (or (not (forall ((z tptp.produc1418842292n_game)) (= (ho_683 x z) (ho_683 y z)))) (= x y))))) (let ((_let_850 (forall ((u |u_(-> tptp.produc1418842292n_game tptp.set_variable tptp.trm tptp.option_trm)|) (e |u_(-> tptp.set_variable tptp.trm tptp.option_trm)|) (i tptp.produc1418842292n_game)) (not (forall ((v |u_(-> tptp.produc1418842292n_game tptp.set_variable tptp.trm tptp.option_trm)|)) (not (forall ((ii tptp.produc1418842292n_game)) (= (ho_680 v ii) (ite (= i ii) e (ho_680 u ii)))))))))) (let ((_let_851 (forall ((x |u_(-> tptp.produc1418842292n_game tptp.set_variable tptp.trm tptp.option_trm)|) (y |u_(-> tptp.produc1418842292n_game tptp.set_variable tptp.trm tptp.option_trm)|)) (or (not (forall ((z tptp.produc1418842292n_game)) (= (ho_680 x z) (ho_680 y z)))) (= x y))))) (let ((_let_852 (forall ((u |u_(-> tptp.set_Pr79606376n_game tptp.set_Pr79606376n_game _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|) (e |u_(-> tptp.set_Pr79606376n_game _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|) (i tptp.set_Pr79606376n_game)) (not (forall ((v |u_(-> tptp.set_Pr79606376n_game tptp.set_Pr79606376n_game _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|)) (not (forall ((ii tptp.set_Pr79606376n_game)) (= (ho_696 v ii) (ite (= i ii) e (ho_696 u ii)))))))))) (let ((_let_853 (forall ((x |u_(-> tptp.set_Pr79606376n_game tptp.set_Pr79606376n_game _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|) (y |u_(-> tptp.set_Pr79606376n_game tptp.set_Pr79606376n_game _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|)) (or (not (forall ((z tptp.set_Pr79606376n_game)) (= (ho_696 x z) (ho_696 y z)))) (= x y))))) (let ((_let_854 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.set_char)_ tptp.produc62062515n_game tptp.set_char)|) (e |u_(-> tptp.produc62062515n_game tptp.set_char)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.set_char)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.set_char)_ tptp.produc62062515n_game tptp.set_char)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.set_char)|)) (= (ho_1114 v ii) (ite (= i ii) e (ho_1114 u ii)))))))))) (let ((_let_855 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.set_char)_ tptp.produc62062515n_game tptp.set_char)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.set_char)_ tptp.produc62062515n_game tptp.set_char)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.set_char)|)) (= (ho_1114 x z) (ho_1114 y z)))) (= x y))))) (let ((_let_856 (forall ((u |u_(-> _u_(-> tptp.option_game Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.option_game Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.option_game Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.option_game Bool)|)) (= (ho_936 v ii) (ite (= i ii) e (ho_936 u ii)))))))))) (let ((_let_857 (forall ((x |u_(-> _u_(-> tptp.option_game Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.option_game Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.option_game Bool)|)) (= (ho_936 x z) (ho_936 y z)))) (= x y))))) (let ((_let_858 (forall ((u |u_(-> tptp.denotational_interp tptp.trm tptp.produc833882726rp_trm)|) (e |u_(-> tptp.trm tptp.produc833882726rp_trm)|) (i tptp.denotational_interp)) (not (forall ((v |u_(-> tptp.denotational_interp tptp.trm tptp.produc833882726rp_trm)|)) (not (forall ((ii tptp.denotational_interp)) (= (ho_1081 v ii) (ite (= i ii) e (ho_1081 u ii)))))))))) (let ((_let_859 (forall ((x |u_(-> tptp.denotational_interp tptp.trm tptp.produc833882726rp_trm)|) (y |u_(-> tptp.denotational_interp tptp.trm tptp.produc833882726rp_trm)|)) (or (not (forall ((z tptp.denotational_interp)) (= (ho_1081 x z) (ho_1081 y z)))) (= x y))))) (let ((_let_860 (forall ((u |u_(-> tptp.denotational_interp tptp.trm Bool)|) (e |u_(-> tptp.trm Bool)|) (i tptp.denotational_interp)) (not (forall ((v |u_(-> tptp.denotational_interp tptp.trm Bool)|)) (not (forall ((ii tptp.denotational_interp)) (= (ho_1083 v ii) (ite (= i ii) e (ho_1083 u ii)))))))))) (let ((_let_861 (forall ((x |u_(-> tptp.denotational_interp tptp.trm Bool)|) (y |u_(-> tptp.denotational_interp tptp.trm Bool)|)) (or (not (forall ((z tptp.denotational_interp)) (= (ho_1083 x z) (ho_1083 y z)))) (= x y))))) (let ((_let_862 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_trm Bool)_ tptp.produc464795408on_trm Bool)|) (e |u_(-> tptp.produc464795408on_trm Bool)|) (i |u_(-> tptp.char tptp.option_trm Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_trm Bool)_ tptp.produc464795408on_trm Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_trm Bool)|)) (= (ho_1085 v ii) (ite (= i ii) e (ho_1085 u ii)))))))))) (let ((_let_863 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_trm Bool)_ tptp.produc464795408on_trm Bool)|) (y |u_(-> _u_(-> tptp.char tptp.option_trm Bool)_ tptp.produc464795408on_trm Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_trm Bool)|)) (= (ho_1085 x z) (ho_1085 y z)))) (= x y))))) (let ((_let_864 (forall ((u |u_(-> _u_(-> tptp.set_variable tptp.trm Bool)_ tptp.produc1367888000le_trm Bool)|) (e |u_(-> tptp.produc1367888000le_trm Bool)|) (i |u_(-> tptp.set_variable tptp.trm Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_variable tptp.trm Bool)_ tptp.produc1367888000le_trm Bool)|)) (not (forall ((ii |u_(-> tptp.set_variable tptp.trm Bool)|)) (= (ho_1088 v ii) (ite (= i ii) e (ho_1088 u ii)))))))))) (let ((_let_865 (forall ((x |u_(-> _u_(-> tptp.set_variable tptp.trm Bool)_ tptp.produc1367888000le_trm Bool)|) (y |u_(-> _u_(-> tptp.set_variable tptp.trm Bool)_ tptp.produc1367888000le_trm Bool)|)) (or (not (forall ((z |u_(-> tptp.set_variable tptp.trm Bool)|)) (= (ho_1088 x z) (ho_1088 y z)))) (= x y))))) (let ((_let_866 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)_ tptp.produc1418842292n_game Bool)|) (e |u_(-> tptp.produc1418842292n_game Bool)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)_ tptp.produc1418842292n_game Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|)) (= (ho_1091 v ii) (ite (= i ii) e (ho_1091 u ii)))))))))) (let ((_let_867 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)_ tptp.produc1418842292n_game Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)_ tptp.produc1418842292n_game Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|)) (= (ho_1091 x z) (ho_1091 y z)))) (= x y))))) (let ((_let_868 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)_ tptp.produc62062515n_game Bool)|) (e |u_(-> tptp.produc62062515n_game Bool)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)_ tptp.produc62062515n_game Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|)) (= (ho_1094 v ii) (ite (= i ii) e (ho_1094 u ii)))))))))) (let ((_let_869 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)_ tptp.produc62062515n_game Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)_ tptp.produc62062515n_game Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|)) (= (ho_1094 x z) (ho_1094 y z)))) (= x y))))) (let ((_let_870 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)_ tptp.produc799602994n_game Bool)|) (e |u_(-> tptp.produc799602994n_game Bool)|) (i |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)_ tptp.produc799602994n_game Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|)) (= (ho_1096 v ii) (ite (= i ii) e (ho_1096 u ii)))))))))) (let ((_let_871 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)_ tptp.produc799602994n_game Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)_ tptp.produc799602994n_game Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|)) (= (ho_1096 x z) (ho_1096 y z)))) (= x y))))) (let ((_let_872 (forall ((u |u_(-> tptp.produc464795408on_trm tptp.set_char)|) (e tptp.set_char) (i tptp.produc464795408on_trm)) (not (forall ((v |u_(-> tptp.produc464795408on_trm tptp.set_char)|)) (not (forall ((ii tptp.produc464795408on_trm)) (= (ho_1100 v ii) (ite (= i ii) e (ho_1100 u ii)))))))))) (let ((_let_873 (forall ((x |u_(-> tptp.produc464795408on_trm tptp.set_char)|) (y |u_(-> tptp.produc464795408on_trm tptp.set_char)|)) (or (not (forall ((z tptp.produc464795408on_trm)) (= (ho_1100 x z) (ho_1100 y z)))) (= x y))))) (let ((_let_874 (forall ((u |u_(-> tptp.char tptp.option_trm tptp.set_char)|) (e |u_(-> tptp.option_trm tptp.set_char)|) (i tptp.char)) (not (forall ((v |u_(-> tptp.char tptp.option_trm tptp.set_char)|)) (not (forall ((ii tptp.char)) (= (ho_1097 v ii) (ite (= i ii) e (ho_1097 u ii)))))))))) (let ((_let_875 (forall ((x |u_(-> tptp.char tptp.option_trm tptp.set_char)|) (y |u_(-> tptp.char tptp.option_trm tptp.set_char)|)) (or (not (forall ((z tptp.char)) (= (ho_1097 x z) (ho_1097 y z)))) (= x y))))) (let ((_let_876 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_trm tptp.set_char)_ tptp.produc464795408on_trm tptp.set_char)|) (e |u_(-> tptp.produc464795408on_trm tptp.set_char)|) (i |u_(-> tptp.char tptp.option_trm tptp.set_char)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_trm tptp.set_char)_ tptp.produc464795408on_trm tptp.set_char)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_trm tptp.set_char)|)) (= (ho_1099 v ii) (ite (= i ii) e (ho_1099 u ii)))))))))) (let ((_let_877 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_trm tptp.set_char)_ tptp.produc464795408on_trm tptp.set_char)|) (y |u_(-> _u_(-> tptp.char tptp.option_trm tptp.set_char)_ tptp.produc464795408on_trm tptp.set_char)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_trm tptp.set_char)|)) (= (ho_1099 x z) (ho_1099 y z)))) (= x y))))) (let ((_let_878 (forall ((u |u_(-> tptp.produc1367888000le_trm tptp.set_char)|) (e tptp.set_char) (i tptp.produc1367888000le_trm)) (not (forall ((v |u_(-> tptp.produc1367888000le_trm tptp.set_char)|)) (not (forall ((ii tptp.produc1367888000le_trm)) (= (ho_1105 v ii) (ite (= i ii) e (ho_1105 u ii)))))))))) (let ((_let_879 (forall ((x |u_(-> tptp.produc1367888000le_trm tptp.set_char)|) (y |u_(-> tptp.produc1367888000le_trm tptp.set_char)|)) (or (not (forall ((z tptp.produc1367888000le_trm)) (= (ho_1105 x z) (ho_1105 y z)))) (= x y))))) (let ((_let_880 (forall ((u |u_(-> tptp.set_variable tptp.trm tptp.set_char)|) (e |u_(-> tptp.trm tptp.set_char)|) (i tptp.set_variable)) (not (forall ((v |u_(-> tptp.set_variable tptp.trm tptp.set_char)|)) (not (forall ((ii tptp.set_variable)) (= (ho_1102 v ii) (ite (= i ii) e (ho_1102 u ii)))))))))) (let ((_let_881 (forall ((x |u_(-> tptp.set_variable tptp.trm tptp.set_char)|) (y |u_(-> tptp.set_variable tptp.trm tptp.set_char)|)) (or (not (forall ((z tptp.set_variable)) (= (ho_1102 x z) (ho_1102 y z)))) (= x y))))) (let ((_let_882 (forall ((u |u_(-> _u_(-> tptp.set_variable tptp.trm tptp.set_char)_ tptp.produc1367888000le_trm tptp.set_char)|) (e |u_(-> tptp.produc1367888000le_trm tptp.set_char)|) (i |u_(-> tptp.set_variable tptp.trm tptp.set_char)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_variable tptp.trm tptp.set_char)_ tptp.produc1367888000le_trm tptp.set_char)|)) (not (forall ((ii |u_(-> tptp.set_variable tptp.trm tptp.set_char)|)) (= (ho_1104 v ii) (ite (= i ii) e (ho_1104 u ii)))))))))) (let ((_let_883 (forall ((x |u_(-> _u_(-> tptp.set_variable tptp.trm tptp.set_char)_ tptp.produc1367888000le_trm tptp.set_char)|) (y |u_(-> _u_(-> tptp.set_variable tptp.trm tptp.set_char)_ tptp.produc1367888000le_trm tptp.set_char)|)) (or (not (forall ((z |u_(-> tptp.set_variable tptp.trm tptp.set_char)|)) (= (ho_1104 x z) (ho_1104 y z)))) (= x y))))) (let ((_let_884 (forall ((u |u_(-> tptp.produc1418842292n_game tptp.set_char)|) (e tptp.set_char) (i tptp.produc1418842292n_game)) (not (forall ((v |u_(-> tptp.produc1418842292n_game tptp.set_char)|)) (not (forall ((ii tptp.produc1418842292n_game)) (= (ho_1110 v ii) (ite (= i ii) e (ho_1110 u ii)))))))))) (let ((_let_885 (forall ((x |u_(-> tptp.produc1418842292n_game tptp.set_char)|) (y |u_(-> tptp.produc1418842292n_game tptp.set_char)|)) (or (not (forall ((z tptp.produc1418842292n_game)) (= (ho_1110 x z) (ho_1110 y z)))) (= x y))))) (let ((_let_886 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.set_char)_ tptp.produc1418842292n_game tptp.set_char)|) (e |u_(-> tptp.produc1418842292n_game tptp.set_char)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.set_char)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.set_char)_ tptp.produc1418842292n_game tptp.set_char)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.set_char)|)) (= (ho_1109 v ii) (ite (= i ii) e (ho_1109 u ii)))))))))) (let ((_let_887 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.set_char)_ tptp.produc1418842292n_game tptp.set_char)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.set_char)_ tptp.produc1418842292n_game tptp.set_char)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.set_char)|)) (= (ho_1109 x z) (ho_1109 y z)))) (= x y))))) (let ((_let_888 (forall ((u |u_(-> tptp.produc62062515n_game tptp.set_char)|) (e tptp.set_char) (i tptp.produc62062515n_game)) (not (forall ((v |u_(-> tptp.produc62062515n_game tptp.set_char)|)) (not (forall ((ii tptp.produc62062515n_game)) (= (ho_1111 v ii) (ite (= i ii) e (ho_1111 u ii)))))))))) (let ((_let_889 (forall ((x |u_(-> tptp.produc62062515n_game tptp.set_char)|) (y |u_(-> tptp.produc62062515n_game tptp.set_char)|)) (or (not (forall ((z tptp.produc62062515n_game)) (= (ho_1111 x z) (ho_1111 y z)))) (= x y))))) (let ((_let_890 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.set_char)|) (e |u_(-> tptp.produc799602994n_game tptp.set_char)|) (i |u_(-> tptp.char tptp.option_trm)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.set_char)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_trm)|)) (= (ho_1112 v ii) (ite (= i ii) e (ho_1112 u ii)))))))))) (let ((_let_891 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.set_char)|) (y |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.set_char)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_trm)|)) (= (ho_1112 x z) (ho_1112 y z)))) (= x y))))) (let ((_let_892 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.set_char)|) (e |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.set_char)|) (i |u_(-> tptp.char tptp.option_fml)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.set_char)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_fml)|)) (= (ho_1116 v ii) (ite (= i ii) e (ho_1116 u ii)))))))))) (let ((_let_893 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.set_char)|) (y |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.set_char)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_fml)|)) (= (ho_1116 x z) (ho_1116 y z)))) (= x y))))) (let ((_let_894 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.set_char)_ tptp.produc799602994n_game tptp.set_char)|) (e |u_(-> tptp.produc799602994n_game tptp.set_char)|) (i |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.set_char)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.set_char)_ tptp.produc799602994n_game tptp.set_char)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.set_char)|)) (= (ho_1118 v ii) (ite (= i ii) e (ho_1118 u ii)))))))))) (let ((_let_895 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.set_char)_ tptp.produc799602994n_game tptp.set_char)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.set_char)_ tptp.produc799602994n_game tptp.set_char)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.set_char)|)) (= (ho_1118 x z) (ho_1118 y z)))) (= x y))))) (let ((_let_896 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.set_char)|) (e tptp.set_char) (i |u_(-> tptp.char tptp.option_game)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.set_char)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_game)|)) (= (ho_1119 v ii) (ite (= i ii) e (ho_1119 u ii)))))))))) (let ((_let_897 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.set_char)|) (y |u_(-> _u_(-> tptp.char tptp.option_game)_ tptp.set_char)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_game)|)) (= (ho_1119 x z) (ho_1119 y z)))) (= x y))))) (let ((_let_898 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_trm Bool)_ tptp.char tptp.option_trm Bool)|) (e |u_(-> tptp.char tptp.option_trm Bool)|) (i |u_(-> tptp.char tptp.option_trm Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_trm Bool)_ tptp.char tptp.option_trm Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_trm Bool)|)) (= (ho_1124 v ii) (ite (= i ii) e (ho_1124 u ii)))))))))) (let ((_let_899 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_trm Bool)_ tptp.char tptp.option_trm Bool)|) (y |u_(-> _u_(-> tptp.char tptp.option_trm Bool)_ tptp.char tptp.option_trm Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_trm Bool)|)) (= (ho_1124 x z) (ho_1124 y z)))) (= x y))))) (let ((_let_900 (forall ((u |u_(-> _u_(-> tptp.char tptp.option_trm Bool)_ _u_(-> tptp.char tptp.option_trm Bool)_ tptp.char tptp.option_trm Bool)|) (e |u_(-> _u_(-> tptp.char tptp.option_trm Bool)_ tptp.char tptp.option_trm Bool)|) (i |u_(-> tptp.char tptp.option_trm Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.char tptp.option_trm Bool)_ _u_(-> tptp.char tptp.option_trm Bool)_ tptp.char tptp.option_trm Bool)|)) (not (forall ((ii |u_(-> tptp.char tptp.option_trm Bool)|)) (= (ho_1123 v ii) (ite (= i ii) e (ho_1123 u ii)))))))))) (let ((_let_901 (forall ((x |u_(-> _u_(-> tptp.char tptp.option_trm Bool)_ _u_(-> tptp.char tptp.option_trm Bool)_ tptp.char tptp.option_trm Bool)|) (y |u_(-> _u_(-> tptp.char tptp.option_trm Bool)_ _u_(-> tptp.char tptp.option_trm Bool)_ tptp.char tptp.option_trm Bool)|)) (or (not (forall ((z |u_(-> tptp.char tptp.option_trm Bool)|)) (= (ho_1123 x z) (ho_1123 y z)))) (= x y))))) (let ((_let_902 (forall ((u |u_(-> _u_(-> tptp.set_variable tptp.trm Bool)_ tptp.set_variable tptp.trm Bool)|) (e |u_(-> tptp.set_variable tptp.trm Bool)|) (i |u_(-> tptp.set_variable tptp.trm Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.set_variable tptp.trm Bool)_ tptp.set_variable tptp.trm Bool)|)) (not (forall ((ii |u_(-> tptp.set_variable tptp.trm Bool)|)) (= (ho_1127 v ii) (ite (= i ii) e (ho_1127 u ii)))))))))) (let ((_let_903 (forall ((x |u_(-> _u_(-> tptp.set_variable tptp.trm Bool)_ tptp.set_variable tptp.trm Bool)|) (y |u_(-> _u_(-> tptp.set_variable tptp.trm Bool)_ tptp.set_variable tptp.trm Bool)|)) (or (not (forall ((z |u_(-> tptp.set_variable tptp.trm Bool)|)) (= (ho_1127 x z) (ho_1127 y z)))) (= x y))))) (let ((_let_904 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|) (e |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|)) (= (ho_1130 v ii) (ite (= i ii) e (ho_1130 u ii)))))))))) (let ((_let_905 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|)) (= (ho_1130 x z) (ho_1130 y z)))) (= x y))))) (let ((_let_906 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|)) (= (ho_1129 v ii) (ite (= i ii) e (ho_1129 u ii)))))))))) (let ((_let_907 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game Bool)|)) (= (ho_1129 x z) (ho_1129 y z)))) (= x y))))) (let ((_let_908 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|) (e |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|)) (= (ho_1133 v ii) (ite (= i ii) e (ho_1133 u ii)))))))))) (let ((_let_909 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|)) (= (ho_1133 x z) (ho_1133 y z)))) (= x y))))) (let ((_let_910 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|) (i |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|)) (= (ho_1132 v ii) (ite (= i ii) e (ho_1132 u ii)))))))))) (let ((_let_911 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)_ _u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)_ _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game Bool)|)) (= (ho_1132 x z) (ho_1132 y z)))) (= x y))))) (let ((_let_912 (forall ((u |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)_ _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|) (e |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|) (i |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)_ _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|)) (= (ho_1136 v ii) (ite (= i ii) e (ho_1136 u ii)))))))))) (let ((_let_913 (forall ((x |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)_ _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)_ _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ Bool)|)) (= (ho_1136 x z) (ho_1136 y z)))) (= x y))))) (let ((_let_914 (forall ((u |u_(-> tptp.trm tptp.fml)|) (e tptp.fml) (i tptp.trm)) (not (forall ((v |u_(-> tptp.trm tptp.fml)|)) (not (forall ((ii tptp.trm)) (= (ho_1139 v ii) (ite (= i ii) e (ho_1139 u ii)))))))))) (let ((_let_915 (forall ((x |u_(-> tptp.trm tptp.fml)|) (y |u_(-> tptp.trm tptp.fml)|)) (or (not (forall ((z tptp.trm)) (= (ho_1139 x z) (ho_1139 y z)))) (= x y))))) (let ((_let_916 (forall ((u |u_(-> tptp.trm tptp.trm tptp.fml)|) (e |u_(-> tptp.trm tptp.fml)|) (i tptp.trm)) (not (forall ((v |u_(-> tptp.trm tptp.trm tptp.fml)|)) (not (forall ((ii tptp.trm)) (= (ho_1138 v ii) (ite (= i ii) e (ho_1138 u ii)))))))))) (let ((_let_917 (forall ((x |u_(-> tptp.trm tptp.trm tptp.fml)|) (y |u_(-> tptp.trm tptp.trm tptp.fml)|)) (or (not (forall ((z tptp.trm)) (= (ho_1138 x z) (ho_1138 y z)))) (= x y))))) (let ((_let_918 (forall ((u |u_(-> tptp.option_game tptp.option_fml tptp.produc1739631244on_fml)|) (e |u_(-> tptp.option_fml tptp.produc1739631244on_fml)|) (i tptp.option_game)) (not (forall ((v |u_(-> tptp.option_game tptp.option_fml tptp.produc1739631244on_fml)|)) (not (forall ((ii tptp.option_game)) (= (ho_1141 v ii) (ite (= i ii) e (ho_1141 u ii)))))))))) (let ((_let_919 (forall ((x |u_(-> tptp.option_game tptp.option_fml tptp.produc1739631244on_fml)|) (y |u_(-> tptp.option_game tptp.option_fml tptp.produc1739631244on_fml)|)) (or (not (forall ((z tptp.option_game)) (= (ho_1141 x z) (ho_1141 y z)))) (= x y))))) (let ((_let_920 (forall ((u |u_(-> tptp.option_fml tptp.produc1408538418on_fml)|) (e tptp.produc1408538418on_fml) (i tptp.option_fml)) (not (forall ((v |u_(-> tptp.option_fml tptp.produc1408538418on_fml)|)) (not (forall ((ii tptp.option_fml)) (= (ho_1145 v ii) (ite (= i ii) e (ho_1145 u ii)))))))))) (let ((_let_921 (forall ((x |u_(-> tptp.option_fml tptp.produc1408538418on_fml)|) (y |u_(-> tptp.option_fml tptp.produc1408538418on_fml)|)) (or (not (forall ((z tptp.option_fml)) (= (ho_1145 x z) (ho_1145 y z)))) (= x y))))) (let ((_let_922 (forall ((u |u_(-> tptp.variable tptp.option_fml tptp.produc1408538418on_fml)|) (e |u_(-> tptp.option_fml tptp.produc1408538418on_fml)|) (i tptp.variable)) (not (forall ((v |u_(-> tptp.variable tptp.option_fml tptp.produc1408538418on_fml)|)) (not (forall ((ii tptp.variable)) (= (ho_1144 v ii) (ite (= i ii) e (ho_1144 u ii)))))))))) (let ((_let_923 (forall ((x |u_(-> tptp.variable tptp.option_fml tptp.produc1408538418on_fml)|) (y |u_(-> tptp.variable tptp.option_fml tptp.produc1408538418on_fml)|)) (or (not (forall ((z tptp.variable)) (= (ho_1144 x z) (ho_1144 y z)))) (= x y))))) (let ((_let_924 (forall ((u |u_(-> tptp.variable tptp.option_trm tptp.produc1024976764on_trm)|) (e |u_(-> tptp.option_trm tptp.produc1024976764on_trm)|) (i tptp.variable)) (not (forall ((v |u_(-> tptp.variable tptp.option_trm tptp.produc1024976764on_trm)|)) (not (forall ((ii tptp.variable)) (= (ho_1150 v ii) (ite (= i ii) e (ho_1150 u ii)))))))))) (let ((_let_925 (forall ((x |u_(-> tptp.variable tptp.option_trm tptp.produc1024976764on_trm)|) (y |u_(-> tptp.variable tptp.option_trm tptp.produc1024976764on_trm)|)) (or (not (forall ((z tptp.variable)) (= (ho_1150 x z) (ho_1150 y z)))) (= x y))))) (let ((_let_926 (forall ((u |u_(-> tptp.option_trm tptp.produc1072747943on_trm)|) (e tptp.produc1072747943on_trm) (i tptp.option_trm)) (not (forall ((v |u_(-> tptp.option_trm tptp.produc1072747943on_trm)|)) (not (forall ((ii tptp.option_trm)) (= (ho_1154 v ii) (ite (= i ii) e (ho_1154 u ii)))))))))) (let ((_let_927 (forall ((x |u_(-> tptp.option_trm tptp.produc1072747943on_trm)|) (y |u_(-> tptp.option_trm tptp.produc1072747943on_trm)|)) (or (not (forall ((z tptp.option_trm)) (= (ho_1154 x z) (ho_1154 y z)))) (= x y))))) (let ((_let_928 (forall ((u |u_(-> tptp.option_trm tptp.option_trm tptp.produc1072747943on_trm)|) (e |u_(-> tptp.option_trm tptp.produc1072747943on_trm)|) (i tptp.option_trm)) (not (forall ((v |u_(-> tptp.option_trm tptp.option_trm tptp.produc1072747943on_trm)|)) (not (forall ((ii tptp.option_trm)) (= (ho_1153 v ii) (ite (= i ii) e (ho_1153 u ii)))))))))) (let ((_let_929 (forall ((x |u_(-> tptp.option_trm tptp.option_trm tptp.produc1072747943on_trm)|) (y |u_(-> tptp.option_trm tptp.option_trm tptp.produc1072747943on_trm)|)) (or (not (forall ((z tptp.option_trm)) (= (ho_1153 x z) (ho_1153 y z)))) (= x y))))) (let ((_let_930 (forall ((u |u_(-> tptp.set_variable tptp.fml tptp.option_fml)|) (e |u_(-> tptp.fml tptp.option_fml)|) (i tptp.set_variable)) (not (forall ((v |u_(-> tptp.set_variable tptp.fml tptp.option_fml)|)) (not (forall ((ii tptp.set_variable)) (= (ho_1157 v ii) (ite (= i ii) e (ho_1157 u ii)))))))))) (let ((_let_931 (forall ((x |u_(-> tptp.set_variable tptp.fml tptp.option_fml)|) (y |u_(-> tptp.set_variable tptp.fml tptp.option_fml)|)) (or (not (forall ((z tptp.set_variable)) (= (ho_1157 x z) (ho_1157 y z)))) (= x y))))) (let ((_let_932 (forall ((u |u_(-> tptp.produc1418842292n_game tptp.set_variable tptp.fml tptp.option_fml)|) (e |u_(-> tptp.set_variable tptp.fml tptp.option_fml)|) (i tptp.produc1418842292n_game)) (not (forall ((v |u_(-> tptp.produc1418842292n_game tptp.set_variable tptp.fml tptp.option_fml)|)) (not (forall ((ii tptp.produc1418842292n_game)) (= (ho_1156 v ii) (ite (= i ii) e (ho_1156 u ii)))))))))) (let ((_let_933 (forall ((x |u_(-> tptp.produc1418842292n_game tptp.set_variable tptp.fml tptp.option_fml)|) (y |u_(-> tptp.produc1418842292n_game tptp.set_variable tptp.fml tptp.option_fml)|)) (or (not (forall ((z tptp.produc1418842292n_game)) (= (ho_1156 x z) (ho_1156 y z)))) (= x y))))) (let ((_let_934 (forall ((u |u_(-> tptp.option_game tptp.option_game tptp.produc1016592119n_game)|) (e |u_(-> tptp.option_game tptp.produc1016592119n_game)|) (i tptp.option_game)) (not (forall ((v |u_(-> tptp.option_game tptp.option_game tptp.produc1016592119n_game)|)) (not (forall ((ii tptp.option_game)) (= (ho_1159 v ii) (ite (= i ii) e (ho_1159 u ii)))))))))) (let ((_let_935 (forall ((x |u_(-> tptp.option_game tptp.option_game tptp.produc1016592119n_game)|) (y |u_(-> tptp.option_game tptp.option_game tptp.produc1016592119n_game)|)) (or (not (forall ((z tptp.option_game)) (= (ho_1159 x z) (ho_1159 y z)))) (= x y))))) (let ((_let_936 (forall ((u |u_(-> tptp.produc1072747943on_trm Bool)|) (e Bool) (i tptp.produc1072747943on_trm)) (not (forall ((v |u_(-> tptp.produc1072747943on_trm Bool)|)) (not (forall ((ii tptp.produc1072747943on_trm)) (= (ho_1165 v ii) (ite (= i ii) e (ho_1165 u ii)))))))))) (let ((_let_937 (forall ((x |u_(-> tptp.produc1072747943on_trm Bool)|) (y |u_(-> tptp.produc1072747943on_trm Bool)|)) (or (not (forall ((z tptp.produc1072747943on_trm)) (= (ho_1165 x z) (ho_1165 y z)))) (= x y))))) (let ((_let_938 (forall ((u |u_(-> _u_(-> tptp.produc1072747943on_trm tptp.produc1072747943on_trm Bool)_ tptp.produc1072747943on_trm Bool)|) (e |u_(-> tptp.produc1072747943on_trm Bool)|) (i |u_(-> tptp.produc1072747943on_trm tptp.produc1072747943on_trm Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.produc1072747943on_trm tptp.produc1072747943on_trm Bool)_ tptp.produc1072747943on_trm Bool)|)) (not (forall ((ii |u_(-> tptp.produc1072747943on_trm tptp.produc1072747943on_trm Bool)|)) (= (ho_1164 v ii) (ite (= i ii) e (ho_1164 u ii)))))))))) (let ((_let_939 (forall ((x |u_(-> _u_(-> tptp.produc1072747943on_trm tptp.produc1072747943on_trm Bool)_ tptp.produc1072747943on_trm Bool)|) (y |u_(-> _u_(-> tptp.produc1072747943on_trm tptp.produc1072747943on_trm Bool)_ tptp.produc1072747943on_trm Bool)|)) (or (not (forall ((z |u_(-> tptp.produc1072747943on_trm tptp.produc1072747943on_trm Bool)|)) (= (ho_1164 x z) (ho_1164 y z)))) (= x y))))) (let ((_let_940 (forall ((u |u_(-> tptp.char tptp.trm tptp.fml)|) (e |u_(-> tptp.trm tptp.fml)|) (i tptp.char)) (not (forall ((v |u_(-> tptp.char tptp.trm tptp.fml)|)) (not (forall ((ii tptp.char)) (= (ho_1169 v ii) (ite (= i ii) e (ho_1169 u ii)))))))))) (let ((_let_941 (forall ((x |u_(-> tptp.char tptp.trm tptp.fml)|) (y |u_(-> tptp.char tptp.trm tptp.fml)|)) (or (not (forall ((z tptp.char)) (= (ho_1169 x z) (ho_1169 y z)))) (= x y))))) (let ((_let_942 (forall ((BOUND_VARIABLE_29582 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_29092 tptp.char) (BOUND_VARIABLE_29578 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_29573 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_386 BOUND_VARIABLE_29582) BOUND_VARIABLE_29092) BOUND_VARIABLE_29578) BOUND_VARIABLE_29573) (ho_385 BOUND_VARIABLE_29582 BOUND_VARIABLE_29092))))) (let ((_let_943 (forall ((BOUND_VARIABLE_29616 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_29083 tptp.char) (BOUND_VARIABLE_29615 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_29614 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_391 BOUND_VARIABLE_29616) BOUND_VARIABLE_29083) BOUND_VARIABLE_29615) BOUND_VARIABLE_29614) (ho_385 BOUND_VARIABLE_29616 BOUND_VARIABLE_29083))))) (let ((_let_944 (forall ((BOUND_VARIABLE_29632 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_29074 tptp.char) (BOUND_VARIABLE_29631 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_29630 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_392 BOUND_VARIABLE_29632) BOUND_VARIABLE_29074) BOUND_VARIABLE_29631) BOUND_VARIABLE_29630) (ho_385 BOUND_VARIABLE_29632 BOUND_VARIABLE_29074))))) (let ((_let_945 (forall ((BOUND_VARIABLE_29648 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_29065 tptp.char) (BOUND_VARIABLE_29647 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_29646 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_393 BOUND_VARIABLE_29648) BOUND_VARIABLE_29065) BOUND_VARIABLE_29647) BOUND_VARIABLE_29646) (ho_385 BOUND_VARIABLE_29648 BOUND_VARIABLE_29065))))) (let ((_let_946 (forall ((BOUND_VARIABLE_29664 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_29056 tptp.char) (BOUND_VARIABLE_29663 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_29662 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_394 BOUND_VARIABLE_29664) BOUND_VARIABLE_29056) BOUND_VARIABLE_29663) BOUND_VARIABLE_29662) (ho_385 BOUND_VARIABLE_29664 BOUND_VARIABLE_29056))))) (let ((_let_947 (forall ((BOUND_VARIABLE_29680 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_29047 tptp.char) (BOUND_VARIABLE_29679 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_29678 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_395 BOUND_VARIABLE_29680) BOUND_VARIABLE_29047) BOUND_VARIABLE_29679) BOUND_VARIABLE_29678) (ho_385 BOUND_VARIABLE_29680 BOUND_VARIABLE_29047))))) (let ((_let_948 (forall ((BOUND_VARIABLE_29696 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_29038 tptp.char) (BOUND_VARIABLE_29695 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_29694 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_396 BOUND_VARIABLE_29696) BOUND_VARIABLE_29038) BOUND_VARIABLE_29695) BOUND_VARIABLE_29694) (ho_385 BOUND_VARIABLE_29696 BOUND_VARIABLE_29038))))) (let ((_let_949 (forall ((BOUND_VARIABLE_29029 tptp.char) (BOUND_VARIABLE_29711 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_29709 |u_(-> tptp.char tptp.option_game)|)) (= (ho_400 (ho_399 (ho_398 k_397 BOUND_VARIABLE_29029) BOUND_VARIABLE_29711) BOUND_VARIABLE_29709) (ho_384 BOUND_VARIABLE_29711 BOUND_VARIABLE_29029))))) (let ((_let_950 (forall ((BOUND_VARIABLE_29021 tptp.char) (BOUND_VARIABLE_29736 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_29735 |u_(-> tptp.char tptp.option_game)|)) (= (ho_400 (ho_399 (ho_398 k_401 BOUND_VARIABLE_29021) BOUND_VARIABLE_29736) BOUND_VARIABLE_29735) (ho_384 BOUND_VARIABLE_29736 BOUND_VARIABLE_29021))))) (let ((_let_951 (forall ((BOUND_VARIABLE_29751 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_29013 tptp.char) (BOUND_VARIABLE_29750 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_29749 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_402 BOUND_VARIABLE_29751) BOUND_VARIABLE_29013) BOUND_VARIABLE_29750) BOUND_VARIABLE_29749) (ho_385 BOUND_VARIABLE_29751 BOUND_VARIABLE_29013))))) (let ((_let_952 (forall ((BOUND_VARIABLE_29767 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_29004 tptp.char) (BOUND_VARIABLE_29766 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_29765 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_403 BOUND_VARIABLE_29767) BOUND_VARIABLE_29004) BOUND_VARIABLE_29766) BOUND_VARIABLE_29765) (ho_385 BOUND_VARIABLE_29767 BOUND_VARIABLE_29004))))) (let ((_let_953 (forall ((BOUND_VARIABLE_29783 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28995 tptp.char) (BOUND_VARIABLE_29782 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_29781 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_404 BOUND_VARIABLE_29783) BOUND_VARIABLE_28995) BOUND_VARIABLE_29782) BOUND_VARIABLE_29781) (ho_385 BOUND_VARIABLE_29783 BOUND_VARIABLE_28995))))) (let ((_let_954 (forall ((BOUND_VARIABLE_29799 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28986 tptp.char) (BOUND_VARIABLE_29798 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_29797 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_405 BOUND_VARIABLE_29799) BOUND_VARIABLE_28986) BOUND_VARIABLE_29798) BOUND_VARIABLE_29797) (ho_385 BOUND_VARIABLE_29799 BOUND_VARIABLE_28986))))) (let ((_let_955 (forall ((BOUND_VARIABLE_29815 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28977 tptp.char) (BOUND_VARIABLE_29814 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_29813 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_406 BOUND_VARIABLE_29815) BOUND_VARIABLE_28977) BOUND_VARIABLE_29814) BOUND_VARIABLE_29813) (ho_385 BOUND_VARIABLE_29815 BOUND_VARIABLE_28977))))) (let ((_let_956 (forall ((BOUND_VARIABLE_29831 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28968 tptp.char) (BOUND_VARIABLE_29830 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_29829 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_407 BOUND_VARIABLE_29831) BOUND_VARIABLE_28968) BOUND_VARIABLE_29830) BOUND_VARIABLE_29829) (ho_385 BOUND_VARIABLE_29831 BOUND_VARIABLE_28968))))) (let ((_let_957 (forall ((BOUND_VARIABLE_29847 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28959 tptp.char) (BOUND_VARIABLE_29846 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_29845 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_408 BOUND_VARIABLE_29847) BOUND_VARIABLE_28959) BOUND_VARIABLE_29846) BOUND_VARIABLE_29845) (ho_385 BOUND_VARIABLE_29847 BOUND_VARIABLE_28959))))) (let ((_let_958 (forall ((BOUND_VARIABLE_29863 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28950 tptp.char) (BOUND_VARIABLE_29862 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_29861 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_409 BOUND_VARIABLE_29863) BOUND_VARIABLE_28950) BOUND_VARIABLE_29862) BOUND_VARIABLE_29861) (ho_385 BOUND_VARIABLE_29863 BOUND_VARIABLE_28950))))) (let ((_let_959 (forall ((BOUND_VARIABLE_29879 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28941 tptp.char) (BOUND_VARIABLE_29878 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_29877 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_410 BOUND_VARIABLE_29879) BOUND_VARIABLE_28941) BOUND_VARIABLE_29878) BOUND_VARIABLE_29877) (ho_385 BOUND_VARIABLE_29879 BOUND_VARIABLE_28941))))) (let ((_let_960 (forall ((BOUND_VARIABLE_29895 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28932 tptp.char) (BOUND_VARIABLE_29894 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_29893 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_411 BOUND_VARIABLE_29895) BOUND_VARIABLE_28932) BOUND_VARIABLE_29894) BOUND_VARIABLE_29893) (ho_385 BOUND_VARIABLE_29895 BOUND_VARIABLE_28932))))) (let ((_let_961 (forall ((BOUND_VARIABLE_29911 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28923 tptp.char) (BOUND_VARIABLE_29910 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_29909 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_412 BOUND_VARIABLE_29911) BOUND_VARIABLE_28923) BOUND_VARIABLE_29910) BOUND_VARIABLE_29909) (ho_385 BOUND_VARIABLE_29911 BOUND_VARIABLE_28923))))) (let ((_let_962 (forall ((BOUND_VARIABLE_29927 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28914 tptp.char) (BOUND_VARIABLE_29926 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_29925 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_413 BOUND_VARIABLE_29927) BOUND_VARIABLE_28914) BOUND_VARIABLE_29926) BOUND_VARIABLE_29925) (ho_385 BOUND_VARIABLE_29927 BOUND_VARIABLE_28914))))) (let ((_let_963 (forall ((BOUND_VARIABLE_29943 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28905 tptp.char) (BOUND_VARIABLE_29942 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_29941 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_414 BOUND_VARIABLE_29943) BOUND_VARIABLE_28905) BOUND_VARIABLE_29942) BOUND_VARIABLE_29941) (ho_385 BOUND_VARIABLE_29943 BOUND_VARIABLE_28905))))) (let ((_let_964 (forall ((BOUND_VARIABLE_29959 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28896 tptp.char) (BOUND_VARIABLE_29958 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_29957 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_415 BOUND_VARIABLE_29959) BOUND_VARIABLE_28896) BOUND_VARIABLE_29958) BOUND_VARIABLE_29957) (ho_385 BOUND_VARIABLE_29959 BOUND_VARIABLE_28896))))) (let ((_let_965 (forall ((BOUND_VARIABLE_29975 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28887 tptp.char) (BOUND_VARIABLE_29974 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_29973 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_416 BOUND_VARIABLE_29975) BOUND_VARIABLE_28887) BOUND_VARIABLE_29974) BOUND_VARIABLE_29973) (ho_385 BOUND_VARIABLE_29975 BOUND_VARIABLE_28887))))) (let ((_let_966 (forall ((BOUND_VARIABLE_29991 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28878 tptp.char) (BOUND_VARIABLE_29990 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_29989 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_417 BOUND_VARIABLE_29991) BOUND_VARIABLE_28878) BOUND_VARIABLE_29990) BOUND_VARIABLE_29989) (ho_385 BOUND_VARIABLE_29991 BOUND_VARIABLE_28878))))) (let ((_let_967 (forall ((BOUND_VARIABLE_30007 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28869 tptp.char) (BOUND_VARIABLE_30006 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_30005 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_418 BOUND_VARIABLE_30007) BOUND_VARIABLE_28869) BOUND_VARIABLE_30006) BOUND_VARIABLE_30005) (ho_385 BOUND_VARIABLE_30007 BOUND_VARIABLE_28869))))) (let ((_let_968 (forall ((BOUND_VARIABLE_30017 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28845 tptp.char) (BOUND_VARIABLE_30034 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28847 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_386 BOUND_VARIABLE_30017) BOUND_VARIABLE_28845)) BOUND_VARIABLE_28847) (ho_421 (ho_425 (ho_424 (ho_423 k_422 BOUND_VARIABLE_30017) BOUND_VARIABLE_28845) BOUND_VARIABLE_30034) BOUND_VARIABLE_28847))))) (let ((_let_969 (forall ((BOUND_VARIABLE_30061 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28836 tptp.char) (BOUND_VARIABLE_30060 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_30059 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_426 BOUND_VARIABLE_30061) BOUND_VARIABLE_28836) BOUND_VARIABLE_30060) BOUND_VARIABLE_30059) (ho_385 BOUND_VARIABLE_30061 BOUND_VARIABLE_28836))))) (let ((_let_970 (forall ((BOUND_VARIABLE_30071 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28812 tptp.char) (BOUND_VARIABLE_30080 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28814 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_391 BOUND_VARIABLE_30071) BOUND_VARIABLE_28812)) BOUND_VARIABLE_28814) (ho_421 (ho_425 (ho_424 (ho_423 k_427 BOUND_VARIABLE_30071) BOUND_VARIABLE_28812) BOUND_VARIABLE_30080) BOUND_VARIABLE_28814))))) (let ((_let_971 (forall ((BOUND_VARIABLE_30095 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28803 tptp.char) (BOUND_VARIABLE_30094 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_30093 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_428 BOUND_VARIABLE_30095) BOUND_VARIABLE_28803) BOUND_VARIABLE_30094) BOUND_VARIABLE_30093) (ho_385 BOUND_VARIABLE_30095 BOUND_VARIABLE_28803))))) (let ((_let_972 (forall ((BOUND_VARIABLE_30105 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28779 tptp.char) (BOUND_VARIABLE_30114 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28781 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_392 BOUND_VARIABLE_30105) BOUND_VARIABLE_28779)) BOUND_VARIABLE_28781) (ho_421 (ho_425 (ho_424 (ho_423 k_429 BOUND_VARIABLE_30105) BOUND_VARIABLE_28779) BOUND_VARIABLE_30114) BOUND_VARIABLE_28781))))) (let ((_let_973 (forall ((BOUND_VARIABLE_30129 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28770 tptp.char) (BOUND_VARIABLE_30128 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_30127 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_430 BOUND_VARIABLE_30129) BOUND_VARIABLE_28770) BOUND_VARIABLE_30128) BOUND_VARIABLE_30127) (ho_385 BOUND_VARIABLE_30129 BOUND_VARIABLE_28770))))) (let ((_let_974 (forall ((BOUND_VARIABLE_30139 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28746 tptp.char) (BOUND_VARIABLE_30148 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28748 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_393 BOUND_VARIABLE_30139) BOUND_VARIABLE_28746)) BOUND_VARIABLE_28748) (ho_421 (ho_425 (ho_424 (ho_423 k_431 BOUND_VARIABLE_30139) BOUND_VARIABLE_28746) BOUND_VARIABLE_30148) BOUND_VARIABLE_28748))))) (let ((_let_975 (forall ((BOUND_VARIABLE_30163 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28737 tptp.char) (BOUND_VARIABLE_30162 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_30161 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_432 BOUND_VARIABLE_30163) BOUND_VARIABLE_28737) BOUND_VARIABLE_30162) BOUND_VARIABLE_30161) (ho_385 BOUND_VARIABLE_30163 BOUND_VARIABLE_28737))))) (let ((_let_976 (forall ((BOUND_VARIABLE_30179 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28728 tptp.char) (BOUND_VARIABLE_30178 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_30177 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_433 BOUND_VARIABLE_30179) BOUND_VARIABLE_28728) BOUND_VARIABLE_30178) BOUND_VARIABLE_30177) (ho_385 BOUND_VARIABLE_30179 BOUND_VARIABLE_28728))))) (let ((_let_977 (forall ((BOUND_VARIABLE_30195 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28719 tptp.char) (BOUND_VARIABLE_30194 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_30193 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_434 BOUND_VARIABLE_30195) BOUND_VARIABLE_28719) BOUND_VARIABLE_30194) BOUND_VARIABLE_30193) (ho_385 BOUND_VARIABLE_30195 BOUND_VARIABLE_28719))))) (let ((_let_978 (forall ((BOUND_VARIABLE_30205 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28695 tptp.char) (BOUND_VARIABLE_30214 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28697 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_394 BOUND_VARIABLE_30205) BOUND_VARIABLE_28695)) BOUND_VARIABLE_28697) (ho_421 (ho_425 (ho_424 (ho_423 k_435 BOUND_VARIABLE_30205) BOUND_VARIABLE_28695) BOUND_VARIABLE_30214) BOUND_VARIABLE_28697))))) (let ((_let_979 (forall ((BOUND_VARIABLE_30229 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28686 tptp.char) (BOUND_VARIABLE_30228 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_30227 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_387 k_436 BOUND_VARIABLE_30229) BOUND_VARIABLE_28686) BOUND_VARIABLE_30228) BOUND_VARIABLE_30227) (ho_385 BOUND_VARIABLE_30229 BOUND_VARIABLE_28686))))) (let ((_let_980 (forall ((BOUND_VARIABLE_30239 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28662 tptp.char) (BOUND_VARIABLE_30248 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28664 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_395 BOUND_VARIABLE_30239) BOUND_VARIABLE_28662)) BOUND_VARIABLE_28664) (ho_421 (ho_425 (ho_424 (ho_423 k_437 BOUND_VARIABLE_30239) BOUND_VARIABLE_28662) BOUND_VARIABLE_30248) BOUND_VARIABLE_28664))))) (let ((_let_981 (forall ((BOUND_VARIABLE_30257 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28638 tptp.char) (BOUND_VARIABLE_30266 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28640 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_396 BOUND_VARIABLE_30257) BOUND_VARIABLE_28638)) BOUND_VARIABLE_28640) (ho_421 (ho_425 (ho_424 (ho_423 k_438 BOUND_VARIABLE_30257) BOUND_VARIABLE_28638) BOUND_VARIABLE_30266) BOUND_VARIABLE_28640))))) (let ((_let_982 (forall ((BOUND_VARIABLE_28616 tptp.char) (BOUND_VARIABLE_30289 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28618 tptp.produc799602994n_game)) (= (ho_441 (ho_440 k_439 (ho_398 k_397 BOUND_VARIABLE_28616)) BOUND_VARIABLE_28618) (ho_441 (ho_444 (ho_443 k_442 BOUND_VARIABLE_28616) BOUND_VARIABLE_30289) BOUND_VARIABLE_28618))))) (let ((_let_983 (forall ((BOUND_VARIABLE_28594 tptp.char) (BOUND_VARIABLE_30311 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28596 tptp.produc799602994n_game)) (= (ho_441 (ho_440 k_439 (ho_398 k_401 BOUND_VARIABLE_28594)) BOUND_VARIABLE_28596) (ho_441 (ho_444 (ho_443 k_445 BOUND_VARIABLE_28594) BOUND_VARIABLE_30311) BOUND_VARIABLE_28596))))) (let ((_let_984 (forall ((BOUND_VARIABLE_28571 tptp.char) (BOUND_VARIABLE_30319 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28573 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_402 BOUND_VARIABLE_30319) BOUND_VARIABLE_28571)) BOUND_VARIABLE_28573) (ho_421 (ho_425 (ho_424 k_446 BOUND_VARIABLE_28571) BOUND_VARIABLE_30319) BOUND_VARIABLE_28573))))) (let ((_let_985 (forall ((BOUND_VARIABLE_28548 tptp.char) (BOUND_VARIABLE_30334 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28550 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_403 BOUND_VARIABLE_30334) BOUND_VARIABLE_28548)) BOUND_VARIABLE_28550) (ho_421 (ho_425 (ho_424 k_447 BOUND_VARIABLE_28548) BOUND_VARIABLE_30334) BOUND_VARIABLE_28550))))) (let ((_let_986 (forall ((BOUND_VARIABLE_30357 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|) (BOUND_VARIABLE_28538 tptp.char) (BOUND_VARIABLE_30354 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_30353 |u_(-> tptp.char tptp.option_game)|)) (= (ho_400 (ho_399 (ho_398 (ho_450 k_449 BOUND_VARIABLE_30357) BOUND_VARIABLE_28538) BOUND_VARIABLE_30354) BOUND_VARIABLE_30353) (ho_384 (ho_451 (ho_448 BOUND_VARIABLE_30357 BOUND_VARIABLE_30354) BOUND_VARIABLE_30353) BOUND_VARIABLE_28538))))) (let ((_let_987 (forall ((BOUND_VARIABLE_30387 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28527 tptp.char) (BOUND_VARIABLE_30384 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_30383 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_454 k_453 BOUND_VARIABLE_30387) BOUND_VARIABLE_28527) BOUND_VARIABLE_30384) BOUND_VARIABLE_30383) (ho_385 (ho_455 (ho_452 BOUND_VARIABLE_30387 BOUND_VARIABLE_30384) BOUND_VARIABLE_30383) BOUND_VARIABLE_28527))))) (let ((_let_988 (forall ((BOUND_VARIABLE_30416 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_28516 tptp.char) (BOUND_VARIABLE_30413 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28518 tptp.produc799602994n_game)) (= (ho_441 (ho_444 (ho_443 (ho_458 k_457 BOUND_VARIABLE_30416) BOUND_VARIABLE_28516) BOUND_VARIABLE_30413) BOUND_VARIABLE_28518) (ho_384 (ho_459 (ho_456 BOUND_VARIABLE_30416 BOUND_VARIABLE_30413) BOUND_VARIABLE_28518) BOUND_VARIABLE_28516))))) (let ((_let_989 (forall ((BOUND_VARIABLE_30444 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28505 tptp.char) (BOUND_VARIABLE_30441 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28507 tptp.produc799602994n_game)) (= (ho_421 (ho_425 (ho_424 (ho_462 k_461 BOUND_VARIABLE_30444) BOUND_VARIABLE_28505) BOUND_VARIABLE_30441) BOUND_VARIABLE_28507) (ho_385 (ho_463 (ho_460 BOUND_VARIABLE_30444 BOUND_VARIABLE_30441) BOUND_VARIABLE_28507) BOUND_VARIABLE_28505))))) (let ((_let_990 (forall ((BOUND_VARIABLE_30472 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_28494 tptp.char) (BOUND_VARIABLE_30469 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28496 tptp.produc62062515n_game)) (= (ho_469 (ho_468 (ho_467 (ho_466 k_465 BOUND_VARIABLE_30472) BOUND_VARIABLE_28494) BOUND_VARIABLE_30469) BOUND_VARIABLE_28496) (ho_384 (ho_470 (ho_464 BOUND_VARIABLE_30472 BOUND_VARIABLE_30469) BOUND_VARIABLE_28496) BOUND_VARIABLE_28494))))) (let ((_let_991 (forall ((BOUND_VARIABLE_30510 |u_(-> tptp.produc799602994n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_28482 tptp.char) (BOUND_VARIABLE_30509 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_30508 |u_(-> tptp.char tptp.option_game)|)) (= (ho_400 (ho_399 (ho_398 (ho_472 k_471 BOUND_VARIABLE_30510) BOUND_VARIABLE_28482) BOUND_VARIABLE_30509) BOUND_VARIABLE_30508) (ho_384 (ho_459 BOUND_VARIABLE_30510 (ho_475 (ho_474 k_473 BOUND_VARIABLE_30509) BOUND_VARIABLE_30508)) BOUND_VARIABLE_28482))))) (let ((_let_992 (forall ((BOUND_VARIABLE_30542 |u_(-> tptp.produc799602994n_game tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28470 tptp.char) (BOUND_VARIABLE_30541 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_30540 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_477 k_476 BOUND_VARIABLE_30542) BOUND_VARIABLE_28470) BOUND_VARIABLE_30541) BOUND_VARIABLE_30540) (ho_385 (ho_463 BOUND_VARIABLE_30542 (ho_475 (ho_474 k_473 BOUND_VARIABLE_30541) BOUND_VARIABLE_30540)) BOUND_VARIABLE_28470))))) (let ((_let_993 (forall ((BOUND_VARIABLE_30564 |u_(-> tptp.produc62062515n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_28458 tptp.char) (BOUND_VARIABLE_30563 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28460 tptp.produc799602994n_game)) (= (ho_441 (ho_444 (ho_443 (ho_479 k_478 BOUND_VARIABLE_30564) BOUND_VARIABLE_28458) BOUND_VARIABLE_30563) BOUND_VARIABLE_28460) (ho_384 (ho_470 BOUND_VARIABLE_30564 (ho_482 (ho_481 k_480 BOUND_VARIABLE_30563) BOUND_VARIABLE_28460)) BOUND_VARIABLE_28458))))) (let ((_let_994 (forall ((BOUND_VARIABLE_30595 |u_(-> tptp.produc62062515n_game tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28446 tptp.char) (BOUND_VARIABLE_30593 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28448 tptp.produc799602994n_game)) (= (ho_421 (ho_425 (ho_424 (ho_485 k_484 BOUND_VARIABLE_30595) BOUND_VARIABLE_28446) BOUND_VARIABLE_30593) BOUND_VARIABLE_28448) (ho_385 (ho_483 BOUND_VARIABLE_30595 (ho_482 (ho_481 k_480 BOUND_VARIABLE_30593) BOUND_VARIABLE_28448)) BOUND_VARIABLE_28446))))) (let ((_let_995 (forall ((BOUND_VARIABLE_30620 |u_(-> tptp.produc1418842292n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_28434 tptp.char) (BOUND_VARIABLE_30618 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28436 tptp.produc62062515n_game)) (= (ho_469 (ho_468 (ho_467 (ho_488 k_487 BOUND_VARIABLE_30620) BOUND_VARIABLE_28434) BOUND_VARIABLE_30618) BOUND_VARIABLE_28436) (ho_384 (ho_486 BOUND_VARIABLE_30620 (ho_491 (ho_490 k_489 BOUND_VARIABLE_30618) BOUND_VARIABLE_28436)) BOUND_VARIABLE_28434))))) (let ((_let_996 (forall ((BOUND_VARIABLE_30653 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|) (BOUND_VARIABLE_28423 tptp.char) (BOUND_VARIABLE_30652 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_30651 |u_(-> tptp.char tptp.option_game)|)) (= (ho_400 (ho_399 (ho_398 (ho_450 k_492 BOUND_VARIABLE_30653) BOUND_VARIABLE_28423) BOUND_VARIABLE_30652) BOUND_VARIABLE_30651) (ho_384 (ho_451 (ho_448 BOUND_VARIABLE_30653 BOUND_VARIABLE_30652) BOUND_VARIABLE_30651) BOUND_VARIABLE_28423))))) (let ((_let_997 (forall ((BOUND_VARIABLE_30671 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28412 tptp.char) (BOUND_VARIABLE_30670 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_30669 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_454 k_493 BOUND_VARIABLE_30671) BOUND_VARIABLE_28412) BOUND_VARIABLE_30670) BOUND_VARIABLE_30669) (ho_385 (ho_455 (ho_452 BOUND_VARIABLE_30671 BOUND_VARIABLE_30670) BOUND_VARIABLE_30669) BOUND_VARIABLE_28412))))) (let ((_let_998 (forall ((BOUND_VARIABLE_30688 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_28401 tptp.char) (BOUND_VARIABLE_30687 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28403 tptp.produc799602994n_game)) (= (ho_441 (ho_444 (ho_443 (ho_458 k_494 BOUND_VARIABLE_30688) BOUND_VARIABLE_28401) BOUND_VARIABLE_30687) BOUND_VARIABLE_28403) (ho_384 (ho_459 (ho_456 BOUND_VARIABLE_30688 BOUND_VARIABLE_30687) BOUND_VARIABLE_28403) BOUND_VARIABLE_28401))))) (let ((_let_999 (forall ((BOUND_VARIABLE_30705 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28390 tptp.char) (BOUND_VARIABLE_30704 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28392 tptp.produc799602994n_game)) (= (ho_421 (ho_425 (ho_424 (ho_462 k_495 BOUND_VARIABLE_30705) BOUND_VARIABLE_28390) BOUND_VARIABLE_30704) BOUND_VARIABLE_28392) (ho_385 (ho_463 (ho_460 BOUND_VARIABLE_30705 BOUND_VARIABLE_30704) BOUND_VARIABLE_28392) BOUND_VARIABLE_28390))))) (let ((_let_1000 (forall ((BOUND_VARIABLE_30722 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_28379 tptp.char) (BOUND_VARIABLE_30721 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28381 tptp.produc62062515n_game)) (= (ho_469 (ho_468 (ho_467 (ho_466 k_496 BOUND_VARIABLE_30722) BOUND_VARIABLE_28379) BOUND_VARIABLE_30721) BOUND_VARIABLE_28381) (ho_384 (ho_470 (ho_464 BOUND_VARIABLE_30722 BOUND_VARIABLE_30721) BOUND_VARIABLE_28381) BOUND_VARIABLE_28379))))) (let ((_let_1001 (forall ((BOUND_VARIABLE_30740 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|) (BOUND_VARIABLE_28368 tptp.char) (BOUND_VARIABLE_30739 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_30738 |u_(-> tptp.char tptp.option_game)|)) (= (ho_400 (ho_399 (ho_398 (ho_450 k_497 BOUND_VARIABLE_30740) BOUND_VARIABLE_28368) BOUND_VARIABLE_30739) BOUND_VARIABLE_30738) (ho_384 (ho_451 (ho_448 BOUND_VARIABLE_30740 BOUND_VARIABLE_30739) BOUND_VARIABLE_30738) BOUND_VARIABLE_28368))))) (let ((_let_1002 (forall ((BOUND_VARIABLE_30758 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28357 tptp.char) (BOUND_VARIABLE_30757 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_30756 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_454 k_498 BOUND_VARIABLE_30758) BOUND_VARIABLE_28357) BOUND_VARIABLE_30757) BOUND_VARIABLE_30756) (ho_385 (ho_455 (ho_452 BOUND_VARIABLE_30758 BOUND_VARIABLE_30757) BOUND_VARIABLE_30756) BOUND_VARIABLE_28357))))) (let ((_let_1003 (forall ((BOUND_VARIABLE_30775 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_28346 tptp.char) (BOUND_VARIABLE_30774 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28348 tptp.produc799602994n_game)) (= (ho_441 (ho_444 (ho_443 (ho_458 k_499 BOUND_VARIABLE_30775) BOUND_VARIABLE_28346) BOUND_VARIABLE_30774) BOUND_VARIABLE_28348) (ho_384 (ho_459 (ho_456 BOUND_VARIABLE_30775 BOUND_VARIABLE_30774) BOUND_VARIABLE_28348) BOUND_VARIABLE_28346))))) (let ((_let_1004 (forall ((BOUND_VARIABLE_30792 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28335 tptp.char) (BOUND_VARIABLE_30791 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28337 tptp.produc799602994n_game)) (= (ho_421 (ho_425 (ho_424 (ho_462 k_500 BOUND_VARIABLE_30792) BOUND_VARIABLE_28335) BOUND_VARIABLE_30791) BOUND_VARIABLE_28337) (ho_385 (ho_463 (ho_460 BOUND_VARIABLE_30792 BOUND_VARIABLE_30791) BOUND_VARIABLE_28337) BOUND_VARIABLE_28335))))) (let ((_let_1005 (forall ((BOUND_VARIABLE_30809 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_28324 tptp.char) (BOUND_VARIABLE_30808 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28326 tptp.produc62062515n_game)) (= (ho_469 (ho_468 (ho_467 (ho_466 k_501 BOUND_VARIABLE_30809) BOUND_VARIABLE_28324) BOUND_VARIABLE_30808) BOUND_VARIABLE_28326) (ho_384 (ho_470 (ho_464 BOUND_VARIABLE_30809 BOUND_VARIABLE_30808) BOUND_VARIABLE_28326) BOUND_VARIABLE_28324))))) (let ((_let_1006 (forall ((BOUND_VARIABLE_28300 tptp.char) (BOUND_VARIABLE_30821 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28302 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_404 BOUND_VARIABLE_30821) BOUND_VARIABLE_28300)) BOUND_VARIABLE_28302) (ho_421 (ho_425 (ho_424 k_502 BOUND_VARIABLE_28300) BOUND_VARIABLE_30821) BOUND_VARIABLE_28302))))) (let ((_let_1007 (forall ((BOUND_VARIABLE_30840 |u_(-> tptp.game tptp.game tptp.game)|) (BOUND_VARIABLE_28291 tptp.game) (BOUND_VARIABLE_28292 tptp.game)) (= (ho_507 (ho_506 (ho_505 k_504 BOUND_VARIABLE_30840) BOUND_VARIABLE_28291) BOUND_VARIABLE_28292) (ho_507 k_509 (ho_508 (ho_503 BOUND_VARIABLE_30840 BOUND_VARIABLE_28291) BOUND_VARIABLE_28292)))))) (let ((_let_1008 (forall ((BOUND_VARIABLE_30871 |u_(-> tptp.fml tptp.fml tptp.fml)|) (BOUND_VARIABLE_28281 tptp.fml) (BOUND_VARIABLE_28282 tptp.fml)) (= (ho_514 (ho_513 (ho_512 k_511 BOUND_VARIABLE_30871) BOUND_VARIABLE_28281) BOUND_VARIABLE_28282) (ho_514 k_516 (ho_515 (ho_510 BOUND_VARIABLE_30871 BOUND_VARIABLE_28281) BOUND_VARIABLE_28282)))))) (let ((_let_1009 (forall ((BOUND_VARIABLE_30901 |u_(-> tptp.game tptp.game tptp.game)|) (BOUND_VARIABLE_28271 tptp.game) (BOUND_VARIABLE_28272 tptp.game)) (= (ho_507 (ho_506 (ho_505 k_517 BOUND_VARIABLE_30901) BOUND_VARIABLE_28271) BOUND_VARIABLE_28272) (ho_507 k_509 (ho_508 (ho_503 BOUND_VARIABLE_30901 BOUND_VARIABLE_28271) BOUND_VARIABLE_28272)))))) (let ((_let_1010 (forall ((BOUND_VARIABLE_30915 |u_(-> tptp.fml tptp.fml tptp.fml)|) (BOUND_VARIABLE_28261 tptp.fml) (BOUND_VARIABLE_28262 tptp.fml)) (= (ho_514 (ho_513 (ho_512 k_518 BOUND_VARIABLE_30915) BOUND_VARIABLE_28261) BOUND_VARIABLE_28262) (ho_514 k_516 (ho_515 (ho_510 BOUND_VARIABLE_30915 BOUND_VARIABLE_28261) BOUND_VARIABLE_28262)))))) (let ((_let_1011 (forall ((BOUND_VARIABLE_30929 |u_(-> tptp.game tptp.game tptp.game)|) (BOUND_VARIABLE_28251 tptp.game) (BOUND_VARIABLE_28252 tptp.game)) (= (ho_507 (ho_506 (ho_505 k_519 BOUND_VARIABLE_30929) BOUND_VARIABLE_28251) BOUND_VARIABLE_28252) (ho_507 k_509 (ho_508 (ho_503 BOUND_VARIABLE_30929 BOUND_VARIABLE_28251) BOUND_VARIABLE_28252)))))) (let ((_let_1012 (forall ((BOUND_VARIABLE_30943 |u_(-> tptp.fml tptp.fml tptp.fml)|) (BOUND_VARIABLE_28241 tptp.fml) (BOUND_VARIABLE_28242 tptp.fml)) (= (ho_514 (ho_513 (ho_512 k_520 BOUND_VARIABLE_30943) BOUND_VARIABLE_28241) BOUND_VARIABLE_28242) (ho_514 k_516 (ho_515 (ho_510 BOUND_VARIABLE_30943 BOUND_VARIABLE_28241) BOUND_VARIABLE_28242)))))) (let ((_let_1013 (forall ((BOUND_VARIABLE_28217 tptp.char) (BOUND_VARIABLE_30954 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28219 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_405 BOUND_VARIABLE_30954) BOUND_VARIABLE_28217)) BOUND_VARIABLE_28219) (ho_421 (ho_425 (ho_424 k_521 BOUND_VARIABLE_28217) BOUND_VARIABLE_30954) BOUND_VARIABLE_28219))))) (let ((_let_1014 (forall ((BOUND_VARIABLE_28194 tptp.char) (BOUND_VARIABLE_30969 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28196 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_406 BOUND_VARIABLE_30969) BOUND_VARIABLE_28194)) BOUND_VARIABLE_28196) (ho_421 (ho_425 (ho_424 k_522 BOUND_VARIABLE_28194) BOUND_VARIABLE_30969) BOUND_VARIABLE_28196))))) (let ((_let_1015 (forall ((BOUND_VARIABLE_28183 tptp.set_variable) (BOUND_VARIABLE_28184 tptp.set_variable) (BOUND_VARIABLE_28185 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_28185))) (= (ho_526 (ho_525 (ho_524 k_523 BOUND_VARIABLE_28183) BOUND_VARIABLE_28184) BOUND_VARIABLE_28185) (and (ho_529 _let_1 BOUND_VARIABLE_28183) (ho_529 _let_1 BOUND_VARIABLE_28184))))))) (let ((_let_1016 (forall ((BOUND_VARIABLE_28172 tptp.set_char) (BOUND_VARIABLE_28173 tptp.set_char) (BOUND_VARIABLE_28174 tptp.char)) (let ((_let_1 (ho_535 k_534 BOUND_VARIABLE_28174))) (= (ho_533 (ho_532 (ho_531 k_530 BOUND_VARIABLE_28172) BOUND_VARIABLE_28173) BOUND_VARIABLE_28174) (and (ho_536 _let_1 BOUND_VARIABLE_28172) (ho_536 _let_1 BOUND_VARIABLE_28173))))))) (let ((_let_1017 (forall ((BOUND_VARIABLE_31048 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|) (BOUND_VARIABLE_28162 tptp.char) (BOUND_VARIABLE_31047 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_31046 |u_(-> tptp.char tptp.option_game)|)) (= (ho_400 (ho_399 (ho_398 (ho_450 k_537 BOUND_VARIABLE_31048) BOUND_VARIABLE_28162) BOUND_VARIABLE_31047) BOUND_VARIABLE_31046) (ho_384 (ho_451 (ho_448 BOUND_VARIABLE_31048 BOUND_VARIABLE_31047) BOUND_VARIABLE_31046) BOUND_VARIABLE_28162))))) (let ((_let_1018 (forall ((BOUND_VARIABLE_31069 |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|) (BOUND_VARIABLE_31067 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|) (BOUND_VARIABLE_28150 tptp.char) (BOUND_VARIABLE_31066 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_31065 |u_(-> tptp.char tptp.option_game)|)) (= (ho_400 (ho_399 (ho_398 (ho_450 (ho_540 k_539 BOUND_VARIABLE_31069) BOUND_VARIABLE_31067) BOUND_VARIABLE_28150) BOUND_VARIABLE_31066) BOUND_VARIABLE_31065) (ho_384 (ho_538 BOUND_VARIABLE_31069 (ho_451 (ho_448 BOUND_VARIABLE_31067 BOUND_VARIABLE_31066) BOUND_VARIABLE_31065)) BOUND_VARIABLE_28150))))) (let ((_let_1019 (forall ((BOUND_VARIABLE_31095 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|) (BOUND_VARIABLE_28138 tptp.char) (BOUND_VARIABLE_31094 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_31093 |u_(-> tptp.char tptp.option_game)|)) (= (ho_400 (ho_399 (ho_398 (ho_450 k_541 BOUND_VARIABLE_31095) BOUND_VARIABLE_28138) BOUND_VARIABLE_31094) BOUND_VARIABLE_31093) (ho_384 (ho_451 (ho_448 BOUND_VARIABLE_31095 BOUND_VARIABLE_31094) BOUND_VARIABLE_31093) BOUND_VARIABLE_28138))))) (let ((_let_1020 (forall ((BOUND_VARIABLE_31117 |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)|) (BOUND_VARIABLE_31114 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|) (BOUND_VARIABLE_28126 tptp.char) (BOUND_VARIABLE_31113 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_31112 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_545 (ho_544 k_543 BOUND_VARIABLE_31117) BOUND_VARIABLE_31114) BOUND_VARIABLE_28126) BOUND_VARIABLE_31113) BOUND_VARIABLE_31112) (ho_385 (ho_542 BOUND_VARIABLE_31117 (ho_451 (ho_448 BOUND_VARIABLE_31114 BOUND_VARIABLE_31113) BOUND_VARIABLE_31112)) BOUND_VARIABLE_28126))))) (let ((_let_1021 (forall ((BOUND_VARIABLE_31147 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28114 tptp.char) (BOUND_VARIABLE_31146 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_31145 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_454 k_546 BOUND_VARIABLE_31147) BOUND_VARIABLE_28114) BOUND_VARIABLE_31146) BOUND_VARIABLE_31145) (ho_385 (ho_455 (ho_452 BOUND_VARIABLE_31147 BOUND_VARIABLE_31146) BOUND_VARIABLE_31145) BOUND_VARIABLE_28114))))) (let ((_let_1022 (forall ((BOUND_VARIABLE_31169 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)|) (BOUND_VARIABLE_31166 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28102 tptp.char) (BOUND_VARIABLE_31165 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_31164 |u_(-> tptp.char tptp.option_game)|)) (= (ho_400 (ho_399 (ho_398 (ho_550 (ho_549 k_548 BOUND_VARIABLE_31169) BOUND_VARIABLE_31166) BOUND_VARIABLE_28102) BOUND_VARIABLE_31165) BOUND_VARIABLE_31164) (ho_384 (ho_547 BOUND_VARIABLE_31169 (ho_455 (ho_452 BOUND_VARIABLE_31166 BOUND_VARIABLE_31165) BOUND_VARIABLE_31164)) BOUND_VARIABLE_28102))))) (let ((_let_1023 (forall ((BOUND_VARIABLE_31199 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28090 tptp.char) (BOUND_VARIABLE_31198 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_31197 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_454 k_551 BOUND_VARIABLE_31199) BOUND_VARIABLE_28090) BOUND_VARIABLE_31198) BOUND_VARIABLE_31197) (ho_385 (ho_455 (ho_452 BOUND_VARIABLE_31199 BOUND_VARIABLE_31198) BOUND_VARIABLE_31197) BOUND_VARIABLE_28090))))) (let ((_let_1024 (forall ((BOUND_VARIABLE_31220 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)|) (BOUND_VARIABLE_31218 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28078 tptp.char) (BOUND_VARIABLE_31217 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_31216 |u_(-> tptp.char tptp.option_game)|)) (= (ho_390 (ho_389 (ho_388 (ho_454 (ho_554 k_553 BOUND_VARIABLE_31220) BOUND_VARIABLE_31218) BOUND_VARIABLE_28078) BOUND_VARIABLE_31217) BOUND_VARIABLE_31216) (ho_385 (ho_552 BOUND_VARIABLE_31220 (ho_455 (ho_452 BOUND_VARIABLE_31218 BOUND_VARIABLE_31217) BOUND_VARIABLE_31216)) BOUND_VARIABLE_28078))))) (let ((_let_1025 (forall ((BOUND_VARIABLE_31245 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_28066 tptp.char) (BOUND_VARIABLE_31244 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28068 tptp.produc799602994n_game)) (= (ho_441 (ho_444 (ho_443 (ho_458 k_555 BOUND_VARIABLE_31245) BOUND_VARIABLE_28066) BOUND_VARIABLE_31244) BOUND_VARIABLE_28068) (ho_384 (ho_459 (ho_456 BOUND_VARIABLE_31245 BOUND_VARIABLE_31244) BOUND_VARIABLE_28068) BOUND_VARIABLE_28066))))) (let ((_let_1026 (forall ((BOUND_VARIABLE_31264 |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|) (BOUND_VARIABLE_31263 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_28054 tptp.char) (BOUND_VARIABLE_31262 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28056 tptp.produc799602994n_game)) (= (ho_441 (ho_444 (ho_443 (ho_458 (ho_557 k_556 BOUND_VARIABLE_31264) BOUND_VARIABLE_31263) BOUND_VARIABLE_28054) BOUND_VARIABLE_31262) BOUND_VARIABLE_28056) (ho_384 (ho_538 BOUND_VARIABLE_31264 (ho_459 (ho_456 BOUND_VARIABLE_31263 BOUND_VARIABLE_31262) BOUND_VARIABLE_28056)) BOUND_VARIABLE_28054))))) (let ((_let_1027 (forall ((BOUND_VARIABLE_31287 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_28042 tptp.char) (BOUND_VARIABLE_31286 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28044 tptp.produc799602994n_game)) (= (ho_441 (ho_444 (ho_443 (ho_458 k_558 BOUND_VARIABLE_31287) BOUND_VARIABLE_28042) BOUND_VARIABLE_31286) BOUND_VARIABLE_28044) (ho_384 (ho_459 (ho_456 BOUND_VARIABLE_31287 BOUND_VARIABLE_31286) BOUND_VARIABLE_28044) BOUND_VARIABLE_28042))))) (let ((_let_1028 (forall ((BOUND_VARIABLE_31306 |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)|) (BOUND_VARIABLE_31305 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_28030 tptp.char) (BOUND_VARIABLE_31304 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28032 tptp.produc799602994n_game)) (= (ho_421 (ho_425 (ho_424 (ho_561 (ho_560 k_559 BOUND_VARIABLE_31306) BOUND_VARIABLE_31305) BOUND_VARIABLE_28030) BOUND_VARIABLE_31304) BOUND_VARIABLE_28032) (ho_385 (ho_542 BOUND_VARIABLE_31306 (ho_459 (ho_456 BOUND_VARIABLE_31305 BOUND_VARIABLE_31304) BOUND_VARIABLE_28032)) BOUND_VARIABLE_28030))))) (let ((_let_1029 (forall ((BOUND_VARIABLE_31333 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28018 tptp.char) (BOUND_VARIABLE_31332 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28020 tptp.produc799602994n_game)) (= (ho_421 (ho_425 (ho_424 (ho_462 k_562 BOUND_VARIABLE_31333) BOUND_VARIABLE_28018) BOUND_VARIABLE_31332) BOUND_VARIABLE_28020) (ho_385 (ho_463 (ho_460 BOUND_VARIABLE_31333 BOUND_VARIABLE_31332) BOUND_VARIABLE_28020) BOUND_VARIABLE_28018))))) (let ((_let_1030 (forall ((BOUND_VARIABLE_31352 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)|) (BOUND_VARIABLE_31351 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28006 tptp.char) (BOUND_VARIABLE_31350 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_28008 tptp.produc799602994n_game)) (= (ho_441 (ho_444 (ho_443 (ho_565 (ho_564 k_563 BOUND_VARIABLE_31352) BOUND_VARIABLE_31351) BOUND_VARIABLE_28006) BOUND_VARIABLE_31350) BOUND_VARIABLE_28008) (ho_384 (ho_547 BOUND_VARIABLE_31352 (ho_463 (ho_460 BOUND_VARIABLE_31351 BOUND_VARIABLE_31350) BOUND_VARIABLE_28008)) BOUND_VARIABLE_28006))))) (let ((_let_1031 (forall ((BOUND_VARIABLE_31379 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27994 tptp.char) (BOUND_VARIABLE_31378 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27996 tptp.produc799602994n_game)) (= (ho_421 (ho_425 (ho_424 (ho_462 k_566 BOUND_VARIABLE_31379) BOUND_VARIABLE_27994) BOUND_VARIABLE_31378) BOUND_VARIABLE_27996) (ho_385 (ho_463 (ho_460 BOUND_VARIABLE_31379 BOUND_VARIABLE_31378) BOUND_VARIABLE_27996) BOUND_VARIABLE_27994))))) (let ((_let_1032 (forall ((BOUND_VARIABLE_31398 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)|) (BOUND_VARIABLE_31397 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27982 tptp.char) (BOUND_VARIABLE_31396 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27984 tptp.produc799602994n_game)) (= (ho_421 (ho_425 (ho_424 (ho_462 (ho_568 k_567 BOUND_VARIABLE_31398) BOUND_VARIABLE_31397) BOUND_VARIABLE_27982) BOUND_VARIABLE_31396) BOUND_VARIABLE_27984) (ho_385 (ho_552 BOUND_VARIABLE_31398 (ho_463 (ho_460 BOUND_VARIABLE_31397 BOUND_VARIABLE_31396) BOUND_VARIABLE_27984)) BOUND_VARIABLE_27982))))) (let ((_let_1033 (forall ((BOUND_VARIABLE_31421 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_27970 tptp.char) (BOUND_VARIABLE_31420 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27972 tptp.produc62062515n_game)) (= (ho_469 (ho_468 (ho_467 (ho_466 k_569 BOUND_VARIABLE_31421) BOUND_VARIABLE_27970) BOUND_VARIABLE_31420) BOUND_VARIABLE_27972) (ho_384 (ho_470 (ho_464 BOUND_VARIABLE_31421 BOUND_VARIABLE_31420) BOUND_VARIABLE_27972) BOUND_VARIABLE_27970))))) (let ((_let_1034 (forall ((BOUND_VARIABLE_31440 |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|) (BOUND_VARIABLE_31439 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_27958 tptp.char) (BOUND_VARIABLE_31438 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27960 tptp.produc62062515n_game)) (= (ho_469 (ho_468 (ho_467 (ho_466 (ho_571 k_570 BOUND_VARIABLE_31440) BOUND_VARIABLE_31439) BOUND_VARIABLE_27958) BOUND_VARIABLE_31438) BOUND_VARIABLE_27960) (ho_384 (ho_538 BOUND_VARIABLE_31440 (ho_470 (ho_464 BOUND_VARIABLE_31439 BOUND_VARIABLE_31438) BOUND_VARIABLE_27960)) BOUND_VARIABLE_27958))))) (let ((_let_1035 (forall ((BOUND_VARIABLE_27948 tptp.set_variable) (BOUND_VARIABLE_27949 tptp.variable)) (= (ho_526 (ho_525 k_572 BOUND_VARIABLE_27948) BOUND_VARIABLE_27949) (ho_529 (ho_528 k_527 BOUND_VARIABLE_27949) BOUND_VARIABLE_27948))))) (let ((_let_1036 (forall ((BOUND_VARIABLE_27940 tptp.set_variable) (BOUND_VARIABLE_27941 tptp.variable)) (= (ho_526 (ho_525 k_573 BOUND_VARIABLE_27940) BOUND_VARIABLE_27941) (ho_529 (ho_528 k_527 BOUND_VARIABLE_27941) BOUND_VARIABLE_27940))))) (let ((_let_1037 (forall ((BOUND_VARIABLE_27929 tptp.set_char) (BOUND_VARIABLE_27930 tptp.set_char) (BOUND_VARIABLE_27931 tptp.char)) (let ((_let_1 (ho_535 k_534 BOUND_VARIABLE_27931))) (= (ho_533 (ho_532 (ho_531 k_574 BOUND_VARIABLE_27929) BOUND_VARIABLE_27930) BOUND_VARIABLE_27931) (and (ho_536 _let_1 BOUND_VARIABLE_27929) (ho_536 _let_1 BOUND_VARIABLE_27930))))))) (let ((_let_1038 (forall ((BOUND_VARIABLE_27921 tptp.set_char) (BOUND_VARIABLE_27922 tptp.char)) (= (ho_533 (ho_532 k_575 BOUND_VARIABLE_27921) BOUND_VARIABLE_27922) (ho_536 (ho_535 k_534 BOUND_VARIABLE_27922) BOUND_VARIABLE_27921))))) (let ((_let_1039 (forall ((BOUND_VARIABLE_27913 tptp.set_char) (BOUND_VARIABLE_27914 tptp.char)) (= (ho_533 (ho_532 k_576 BOUND_VARIABLE_27913) BOUND_VARIABLE_27914) (ho_536 (ho_535 k_534 BOUND_VARIABLE_27914) BOUND_VARIABLE_27913))))) (let ((_let_1040 (forall ((BOUND_VARIABLE_27902 tptp.set_variable) (BOUND_VARIABLE_27903 tptp.set_variable) (BOUND_VARIABLE_27904 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27904))) (= (ho_526 (ho_525 (ho_524 k_577 BOUND_VARIABLE_27902) BOUND_VARIABLE_27903) BOUND_VARIABLE_27904) (and (ho_529 _let_1 BOUND_VARIABLE_27902) (ho_529 _let_1 BOUND_VARIABLE_27903))))))) (let ((_let_1041 (forall ((BOUND_VARIABLE_27891 tptp.set_variable) (BOUND_VARIABLE_27892 tptp.set_variable) (BOUND_VARIABLE_27893 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27893))) (= (ho_526 (ho_525 (ho_524 k_578 BOUND_VARIABLE_27891) BOUND_VARIABLE_27892) BOUND_VARIABLE_27893) (and (ho_529 _let_1 BOUND_VARIABLE_27891) (ho_529 _let_1 BOUND_VARIABLE_27892))))))) (let ((_let_1042 (forall ((BOUND_VARIABLE_27880 tptp.set_variable) (BOUND_VARIABLE_27881 tptp.set_variable) (BOUND_VARIABLE_27882 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27882))) (= (ho_526 (ho_525 (ho_524 k_579 BOUND_VARIABLE_27880) BOUND_VARIABLE_27881) BOUND_VARIABLE_27882) (and (ho_529 _let_1 BOUND_VARIABLE_27880) (ho_529 _let_1 BOUND_VARIABLE_27881))))))) (let ((_let_1043 (forall ((BOUND_VARIABLE_27869 tptp.set_variable) (BOUND_VARIABLE_27870 tptp.set_variable) (BOUND_VARIABLE_27871 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27871))) (= (ho_526 (ho_525 (ho_524 k_580 BOUND_VARIABLE_27869) BOUND_VARIABLE_27870) BOUND_VARIABLE_27871) (and (ho_529 _let_1 BOUND_VARIABLE_27869) (ho_529 _let_1 BOUND_VARIABLE_27870))))))) (let ((_let_1044 (forall ((BOUND_VARIABLE_27858 tptp.set_variable) (BOUND_VARIABLE_27859 tptp.set_variable) (BOUND_VARIABLE_27860 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27860))) (= (ho_526 (ho_525 (ho_524 k_581 BOUND_VARIABLE_27858) BOUND_VARIABLE_27859) BOUND_VARIABLE_27860) (and (ho_529 _let_1 BOUND_VARIABLE_27858) (ho_529 _let_1 BOUND_VARIABLE_27859))))))) (let ((_let_1045 (forall ((BOUND_VARIABLE_27847 tptp.set_variable) (BOUND_VARIABLE_27848 tptp.set_variable) (BOUND_VARIABLE_27849 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27849))) (= (ho_526 (ho_525 (ho_524 k_582 BOUND_VARIABLE_27847) BOUND_VARIABLE_27848) BOUND_VARIABLE_27849) (and (ho_529 _let_1 BOUND_VARIABLE_27847) (ho_529 _let_1 BOUND_VARIABLE_27848))))))) (let ((_let_1046 (forall ((BOUND_VARIABLE_27824 tptp.char) (BOUND_VARIABLE_31585 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27826 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_407 BOUND_VARIABLE_31585) BOUND_VARIABLE_27824)) BOUND_VARIABLE_27826) (ho_421 (ho_425 (ho_424 k_583 BOUND_VARIABLE_27824) BOUND_VARIABLE_31585) BOUND_VARIABLE_27826))))) (let ((_let_1047 (forall ((BOUND_VARIABLE_27801 tptp.char) (BOUND_VARIABLE_31600 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27803 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_408 BOUND_VARIABLE_31600) BOUND_VARIABLE_27801)) BOUND_VARIABLE_27803) (ho_421 (ho_425 (ho_424 k_584 BOUND_VARIABLE_27801) BOUND_VARIABLE_31600) BOUND_VARIABLE_27803))))) (let ((_let_1048 (forall ((BOUND_VARIABLE_27790 tptp.set_variable) (BOUND_VARIABLE_27791 tptp.set_variable) (BOUND_VARIABLE_27792 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27792))) (= (ho_526 (ho_525 (ho_524 k_585 BOUND_VARIABLE_27790) BOUND_VARIABLE_27791) BOUND_VARIABLE_27792) (and (ho_529 _let_1 BOUND_VARIABLE_27790) (ho_529 _let_1 BOUND_VARIABLE_27791))))))) (let ((_let_1049 (forall ((BOUND_VARIABLE_27779 tptp.set_variable) (BOUND_VARIABLE_27780 tptp.set_variable) (BOUND_VARIABLE_27781 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27781))) (= (ho_526 (ho_525 (ho_524 k_586 BOUND_VARIABLE_27779) BOUND_VARIABLE_27780) BOUND_VARIABLE_27781) (and (ho_529 _let_1 BOUND_VARIABLE_27779) (ho_529 _let_1 BOUND_VARIABLE_27780))))))) (let ((_let_1050 (forall ((BOUND_VARIABLE_27768 tptp.set_variable) (BOUND_VARIABLE_27769 tptp.set_variable) (BOUND_VARIABLE_27770 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27770))) (= (ho_526 (ho_525 (ho_524 k_587 BOUND_VARIABLE_27768) BOUND_VARIABLE_27769) BOUND_VARIABLE_27770) (and (ho_529 _let_1 BOUND_VARIABLE_27768) (ho_529 _let_1 BOUND_VARIABLE_27769))))))) (let ((_let_1051 (forall ((BOUND_VARIABLE_27757 tptp.set_variable) (BOUND_VARIABLE_27758 tptp.set_variable) (BOUND_VARIABLE_27759 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27759))) (= (ho_526 (ho_525 (ho_524 k_588 BOUND_VARIABLE_27757) BOUND_VARIABLE_27758) BOUND_VARIABLE_27759) (and (ho_529 _let_1 BOUND_VARIABLE_27757) (ho_529 _let_1 BOUND_VARIABLE_27758))))))) (let ((_let_1052 (forall ((BOUND_VARIABLE_27746 tptp.set_variable) (BOUND_VARIABLE_27747 tptp.set_variable) (BOUND_VARIABLE_27748 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27748))) (= (ho_526 (ho_525 (ho_524 k_589 BOUND_VARIABLE_27746) BOUND_VARIABLE_27747) BOUND_VARIABLE_27748) (and (ho_529 _let_1 BOUND_VARIABLE_27746) (ho_529 _let_1 BOUND_VARIABLE_27747))))))) (let ((_let_1053 (forall ((BOUND_VARIABLE_27735 tptp.set_variable) (BOUND_VARIABLE_27736 tptp.set_variable) (BOUND_VARIABLE_27737 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27737))) (= (ho_526 (ho_525 (ho_524 k_590 BOUND_VARIABLE_27735) BOUND_VARIABLE_27736) BOUND_VARIABLE_27737) (and (ho_529 _let_1 BOUND_VARIABLE_27735) (ho_529 _let_1 BOUND_VARIABLE_27736))))))) (let ((_let_1054 (forall ((BOUND_VARIABLE_27724 tptp.set_variable) (BOUND_VARIABLE_27725 tptp.set_variable) (BOUND_VARIABLE_27726 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27726))) (= (ho_526 (ho_525 (ho_524 k_591 BOUND_VARIABLE_27724) BOUND_VARIABLE_27725) BOUND_VARIABLE_27726) (and (ho_529 _let_1 BOUND_VARIABLE_27724) (ho_529 _let_1 BOUND_VARIABLE_27725))))))) (let ((_let_1055 (forall ((BOUND_VARIABLE_27713 tptp.set_variable) (BOUND_VARIABLE_27714 tptp.set_variable) (BOUND_VARIABLE_27715 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27715))) (= (ho_526 (ho_525 (ho_524 k_592 BOUND_VARIABLE_27713) BOUND_VARIABLE_27714) BOUND_VARIABLE_27715) (and (ho_529 _let_1 BOUND_VARIABLE_27713) (ho_529 _let_1 BOUND_VARIABLE_27714))))))) (let ((_let_1056 (forall ((BOUND_VARIABLE_27702 tptp.set_variable) (BOUND_VARIABLE_27703 tptp.set_variable) (BOUND_VARIABLE_27704 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27704))) (= (ho_526 (ho_525 (ho_524 k_593 BOUND_VARIABLE_27702) BOUND_VARIABLE_27703) BOUND_VARIABLE_27704) (and (ho_529 _let_1 BOUND_VARIABLE_27702) (ho_529 _let_1 BOUND_VARIABLE_27703))))))) (let ((_let_1057 (forall ((BOUND_VARIABLE_27691 tptp.set_variable) (BOUND_VARIABLE_27692 tptp.set_variable) (BOUND_VARIABLE_27693 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27693))) (= (ho_526 (ho_525 (ho_524 k_594 BOUND_VARIABLE_27691) BOUND_VARIABLE_27692) BOUND_VARIABLE_27693) (and (ho_529 _let_1 BOUND_VARIABLE_27691) (ho_529 _let_1 BOUND_VARIABLE_27692))))))) (let ((_let_1058 (forall ((BOUND_VARIABLE_27680 tptp.set_variable) (BOUND_VARIABLE_27681 tptp.set_variable) (BOUND_VARIABLE_27682 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27682))) (= (ho_526 (ho_525 (ho_524 k_595 BOUND_VARIABLE_27680) BOUND_VARIABLE_27681) BOUND_VARIABLE_27682) (and (ho_529 _let_1 BOUND_VARIABLE_27680) (ho_529 _let_1 BOUND_VARIABLE_27681))))))) (let ((_let_1059 (forall ((BOUND_VARIABLE_27669 tptp.set_variable) (BOUND_VARIABLE_27670 tptp.set_variable) (BOUND_VARIABLE_27671 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27671))) (= (ho_526 (ho_525 (ho_524 k_596 BOUND_VARIABLE_27669) BOUND_VARIABLE_27670) BOUND_VARIABLE_27671) (and (ho_529 _let_1 BOUND_VARIABLE_27669) (ho_529 _let_1 BOUND_VARIABLE_27670))))))) (let ((_let_1060 (forall ((BOUND_VARIABLE_27658 tptp.set_variable) (BOUND_VARIABLE_27659 tptp.set_variable) (BOUND_VARIABLE_27660 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27660))) (= (ho_526 (ho_525 (ho_524 k_597 BOUND_VARIABLE_27658) BOUND_VARIABLE_27659) BOUND_VARIABLE_27660) (and (ho_529 _let_1 BOUND_VARIABLE_27658) (ho_529 _let_1 BOUND_VARIABLE_27659))))))) (let ((_let_1061 (forall ((BOUND_VARIABLE_27647 tptp.set_variable) (BOUND_VARIABLE_27648 tptp.set_variable) (BOUND_VARIABLE_27649 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27649))) (= (ho_526 (ho_525 (ho_524 k_598 BOUND_VARIABLE_27647) BOUND_VARIABLE_27648) BOUND_VARIABLE_27649) (and (ho_529 _let_1 BOUND_VARIABLE_27647) (ho_529 _let_1 BOUND_VARIABLE_27648))))))) (let ((_let_1062 (forall ((BOUND_VARIABLE_27636 tptp.set_variable) (BOUND_VARIABLE_27637 tptp.set_variable) (BOUND_VARIABLE_27638 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27638))) (= (ho_526 (ho_525 (ho_524 k_599 BOUND_VARIABLE_27636) BOUND_VARIABLE_27637) BOUND_VARIABLE_27638) (and (ho_529 _let_1 BOUND_VARIABLE_27636) (ho_529 _let_1 BOUND_VARIABLE_27637))))))) (let ((_let_1063 (forall ((BOUND_VARIABLE_27625 tptp.set_variable) (BOUND_VARIABLE_27626 tptp.set_variable) (BOUND_VARIABLE_27627 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27627))) (= (ho_526 (ho_525 (ho_524 k_600 BOUND_VARIABLE_27625) BOUND_VARIABLE_27626) BOUND_VARIABLE_27627) (and (ho_529 _let_1 BOUND_VARIABLE_27625) (ho_529 _let_1 BOUND_VARIABLE_27626))))))) (let ((_let_1064 (forall ((BOUND_VARIABLE_27614 tptp.set_variable) (BOUND_VARIABLE_27615 tptp.set_variable) (BOUND_VARIABLE_27616 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27616))) (= (ho_526 (ho_525 (ho_524 k_601 BOUND_VARIABLE_27614) BOUND_VARIABLE_27615) BOUND_VARIABLE_27616) (and (ho_529 _let_1 BOUND_VARIABLE_27614) (ho_529 _let_1 BOUND_VARIABLE_27615))))))) (let ((_let_1065 (forall ((BOUND_VARIABLE_27603 tptp.set_variable) (BOUND_VARIABLE_27604 tptp.set_variable) (BOUND_VARIABLE_27605 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27605))) (= (ho_526 (ho_525 (ho_524 k_602 BOUND_VARIABLE_27603) BOUND_VARIABLE_27604) BOUND_VARIABLE_27605) (and (ho_529 _let_1 BOUND_VARIABLE_27603) (ho_529 _let_1 BOUND_VARIABLE_27604))))))) (let ((_let_1066 (forall ((BOUND_VARIABLE_27592 tptp.set_variable) (BOUND_VARIABLE_27593 tptp.set_variable) (BOUND_VARIABLE_27594 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27594))) (= (ho_526 (ho_525 (ho_524 k_603 BOUND_VARIABLE_27592) BOUND_VARIABLE_27593) BOUND_VARIABLE_27594) (and (ho_529 _let_1 BOUND_VARIABLE_27592) (ho_529 _let_1 BOUND_VARIABLE_27593))))))) (let ((_let_1067 (forall ((BOUND_VARIABLE_27581 tptp.set_variable) (BOUND_VARIABLE_27582 tptp.set_variable) (BOUND_VARIABLE_27583 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27583))) (= (ho_526 (ho_525 (ho_524 k_604 BOUND_VARIABLE_27581) BOUND_VARIABLE_27582) BOUND_VARIABLE_27583) (and (ho_529 _let_1 BOUND_VARIABLE_27581) (ho_529 _let_1 BOUND_VARIABLE_27582))))))) (let ((_let_1068 (forall ((BOUND_VARIABLE_27570 tptp.set_variable) (BOUND_VARIABLE_27571 tptp.set_variable) (BOUND_VARIABLE_27572 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27572))) (= (ho_526 (ho_525 (ho_524 k_605 BOUND_VARIABLE_27570) BOUND_VARIABLE_27571) BOUND_VARIABLE_27572) (and (ho_529 _let_1 BOUND_VARIABLE_27570) (ho_529 _let_1 BOUND_VARIABLE_27571))))))) (let ((_let_1069 (forall ((BOUND_VARIABLE_27559 tptp.set_variable) (BOUND_VARIABLE_27560 tptp.set_variable) (BOUND_VARIABLE_27561 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27561))) (= (ho_526 (ho_525 (ho_524 k_606 BOUND_VARIABLE_27559) BOUND_VARIABLE_27560) BOUND_VARIABLE_27561) (and (ho_529 _let_1 BOUND_VARIABLE_27559) (ho_529 _let_1 BOUND_VARIABLE_27560))))))) (let ((_let_1070 (forall ((BOUND_VARIABLE_27548 tptp.set_variable) (BOUND_VARIABLE_27549 tptp.set_variable) (BOUND_VARIABLE_27550 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27550))) (= (ho_526 (ho_525 (ho_524 k_607 BOUND_VARIABLE_27548) BOUND_VARIABLE_27549) BOUND_VARIABLE_27550) (and (ho_529 _let_1 BOUND_VARIABLE_27548) (ho_529 _let_1 BOUND_VARIABLE_27549))))))) (let ((_let_1071 (forall ((BOUND_VARIABLE_27537 tptp.set_variable) (BOUND_VARIABLE_27538 tptp.set_variable) (BOUND_VARIABLE_27539 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27539))) (= (ho_526 (ho_525 (ho_524 k_608 BOUND_VARIABLE_27537) BOUND_VARIABLE_27538) BOUND_VARIABLE_27539) (and (ho_529 _let_1 BOUND_VARIABLE_27537) (ho_529 _let_1 BOUND_VARIABLE_27538))))))) (let ((_let_1072 (forall ((BOUND_VARIABLE_27526 tptp.set_variable) (BOUND_VARIABLE_27527 tptp.set_variable) (BOUND_VARIABLE_27528 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_27528))) (= (ho_526 (ho_525 (ho_524 k_609 BOUND_VARIABLE_27526) BOUND_VARIABLE_27527) BOUND_VARIABLE_27528) (and (ho_529 _let_1 BOUND_VARIABLE_27526) (ho_529 _let_1 BOUND_VARIABLE_27527))))))) (let ((_let_1073 (forall ((BOUND_VARIABLE_27503 tptp.char) (BOUND_VARIABLE_31940 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27505 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_409 BOUND_VARIABLE_31940) BOUND_VARIABLE_27503)) BOUND_VARIABLE_27505) (ho_421 (ho_425 (ho_424 k_610 BOUND_VARIABLE_27503) BOUND_VARIABLE_31940) BOUND_VARIABLE_27505))))) (let ((_let_1074 (forall ((BOUND_VARIABLE_27480 tptp.char) (BOUND_VARIABLE_31955 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27482 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_410 BOUND_VARIABLE_31955) BOUND_VARIABLE_27480)) BOUND_VARIABLE_27482) (ho_421 (ho_425 (ho_424 k_611 BOUND_VARIABLE_27480) BOUND_VARIABLE_31955) BOUND_VARIABLE_27482))))) (let ((_let_1075 (forall ((BOUND_VARIABLE_27457 tptp.char) (BOUND_VARIABLE_31970 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27459 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_411 BOUND_VARIABLE_31970) BOUND_VARIABLE_27457)) BOUND_VARIABLE_27459) (ho_421 (ho_425 (ho_424 k_612 BOUND_VARIABLE_27457) BOUND_VARIABLE_31970) BOUND_VARIABLE_27459))))) (let ((_let_1076 (forall ((BOUND_VARIABLE_31985 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27434 tptp.char) (BOUND_VARIABLE_31994 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27436 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_412 BOUND_VARIABLE_31985) BOUND_VARIABLE_27434)) BOUND_VARIABLE_27436) (ho_421 (ho_425 (ho_424 (ho_423 k_613 BOUND_VARIABLE_31985) BOUND_VARIABLE_27434) BOUND_VARIABLE_31994) BOUND_VARIABLE_27436))))) (let ((_let_1077 (forall ((BOUND_VARIABLE_32003 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27410 tptp.char) (BOUND_VARIABLE_32012 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27412 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_413 BOUND_VARIABLE_32003) BOUND_VARIABLE_27410)) BOUND_VARIABLE_27412) (ho_421 (ho_425 (ho_424 (ho_423 k_614 BOUND_VARIABLE_32003) BOUND_VARIABLE_27410) BOUND_VARIABLE_32012) BOUND_VARIABLE_27412))))) (let ((_let_1078 (forall ((BOUND_VARIABLE_32021 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27386 tptp.char) (BOUND_VARIABLE_32030 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27388 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_414 BOUND_VARIABLE_32021) BOUND_VARIABLE_27386)) BOUND_VARIABLE_27388) (ho_421 (ho_425 (ho_424 (ho_423 k_615 BOUND_VARIABLE_32021) BOUND_VARIABLE_27386) BOUND_VARIABLE_32030) BOUND_VARIABLE_27388))))) (let ((_let_1079 (forall ((BOUND_VARIABLE_32039 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27362 tptp.char) (BOUND_VARIABLE_32048 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27364 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_415 BOUND_VARIABLE_32039) BOUND_VARIABLE_27362)) BOUND_VARIABLE_27364) (ho_421 (ho_425 (ho_424 (ho_423 k_616 BOUND_VARIABLE_32039) BOUND_VARIABLE_27362) BOUND_VARIABLE_32048) BOUND_VARIABLE_27364))))) (let ((_let_1080 (forall ((BOUND_VARIABLE_32057 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27338 tptp.char) (BOUND_VARIABLE_32066 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27340 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_416 BOUND_VARIABLE_32057) BOUND_VARIABLE_27338)) BOUND_VARIABLE_27340) (ho_421 (ho_425 (ho_424 (ho_423 k_617 BOUND_VARIABLE_32057) BOUND_VARIABLE_27338) BOUND_VARIABLE_32066) BOUND_VARIABLE_27340))))) (let ((_let_1081 (forall ((BOUND_VARIABLE_32075 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27314 tptp.char) (BOUND_VARIABLE_32084 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27316 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_417 BOUND_VARIABLE_32075) BOUND_VARIABLE_27314)) BOUND_VARIABLE_27316) (ho_421 (ho_425 (ho_424 (ho_423 k_618 BOUND_VARIABLE_32075) BOUND_VARIABLE_27314) BOUND_VARIABLE_32084) BOUND_VARIABLE_27316))))) (let ((_let_1082 (forall ((BOUND_VARIABLE_32093 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27290 tptp.char) (BOUND_VARIABLE_32102 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27292 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_418 BOUND_VARIABLE_32093) BOUND_VARIABLE_27290)) BOUND_VARIABLE_27292) (ho_421 (ho_425 (ho_424 (ho_423 k_619 BOUND_VARIABLE_32093) BOUND_VARIABLE_27290) BOUND_VARIABLE_32102) BOUND_VARIABLE_27292))))) (let ((_let_1083 (forall ((BOUND_VARIABLE_32111 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27261 tptp.produc62062515n_game) (BOUND_VARIABLE_27262 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_423 k_422 BOUND_VARIABLE_32111) BOUND_VARIABLE_27262)) BOUND_VARIABLE_27261) (ho_385 (ho_483 (ho_624 k_623 BOUND_VARIABLE_32111) BOUND_VARIABLE_27261) BOUND_VARIABLE_27262))))) (let ((_let_1084 (forall ((BOUND_VARIABLE_32138 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27237 tptp.char) (BOUND_VARIABLE_32147 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27239 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_426 BOUND_VARIABLE_32138) BOUND_VARIABLE_27237)) BOUND_VARIABLE_27239) (ho_421 (ho_425 (ho_424 (ho_423 k_625 BOUND_VARIABLE_32138) BOUND_VARIABLE_27237) BOUND_VARIABLE_32147) BOUND_VARIABLE_27239))))) (let ((_let_1085 (forall ((BOUND_VARIABLE_32156 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27208 tptp.produc62062515n_game) (BOUND_VARIABLE_27209 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_423 k_427 BOUND_VARIABLE_32156) BOUND_VARIABLE_27209)) BOUND_VARIABLE_27208) (ho_385 (ho_483 (ho_624 k_626 BOUND_VARIABLE_32156) BOUND_VARIABLE_27208) BOUND_VARIABLE_27209))))) (let ((_let_1086 (forall ((BOUND_VARIABLE_32171 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27184 tptp.char) (BOUND_VARIABLE_32180 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27186 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_428 BOUND_VARIABLE_32171) BOUND_VARIABLE_27184)) BOUND_VARIABLE_27186) (ho_421 (ho_425 (ho_424 (ho_423 k_627 BOUND_VARIABLE_32171) BOUND_VARIABLE_27184) BOUND_VARIABLE_32180) BOUND_VARIABLE_27186))))) (let ((_let_1087 (forall ((BOUND_VARIABLE_32189 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27155 tptp.produc62062515n_game) (BOUND_VARIABLE_27156 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_423 k_429 BOUND_VARIABLE_32189) BOUND_VARIABLE_27156)) BOUND_VARIABLE_27155) (ho_385 (ho_483 (ho_624 k_628 BOUND_VARIABLE_32189) BOUND_VARIABLE_27155) BOUND_VARIABLE_27156))))) (let ((_let_1088 (forall ((BOUND_VARIABLE_32204 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27131 tptp.char) (BOUND_VARIABLE_32213 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27133 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_430 BOUND_VARIABLE_32204) BOUND_VARIABLE_27131)) BOUND_VARIABLE_27133) (ho_421 (ho_425 (ho_424 (ho_423 k_629 BOUND_VARIABLE_32204) BOUND_VARIABLE_27131) BOUND_VARIABLE_32213) BOUND_VARIABLE_27133))))) (let ((_let_1089 (forall ((BOUND_VARIABLE_32222 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27102 tptp.produc62062515n_game) (BOUND_VARIABLE_27103 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_423 k_431 BOUND_VARIABLE_32222) BOUND_VARIABLE_27103)) BOUND_VARIABLE_27102) (ho_385 (ho_483 (ho_624 k_630 BOUND_VARIABLE_32222) BOUND_VARIABLE_27102) BOUND_VARIABLE_27103))))) (let ((_let_1090 (forall ((BOUND_VARIABLE_32237 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27078 tptp.char) (BOUND_VARIABLE_32246 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27080 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_432 BOUND_VARIABLE_32237) BOUND_VARIABLE_27078)) BOUND_VARIABLE_27080) (ho_421 (ho_425 (ho_424 (ho_423 k_631 BOUND_VARIABLE_32237) BOUND_VARIABLE_27078) BOUND_VARIABLE_32246) BOUND_VARIABLE_27080))))) (let ((_let_1091 (forall ((BOUND_VARIABLE_32255 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27054 tptp.char) (BOUND_VARIABLE_32264 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27056 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_433 BOUND_VARIABLE_32255) BOUND_VARIABLE_27054)) BOUND_VARIABLE_27056) (ho_421 (ho_425 (ho_424 (ho_423 k_632 BOUND_VARIABLE_32255) BOUND_VARIABLE_27054) BOUND_VARIABLE_32264) BOUND_VARIABLE_27056))))) (let ((_let_1092 (forall ((BOUND_VARIABLE_32273 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27030 tptp.char) (BOUND_VARIABLE_32282 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27032 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_434 BOUND_VARIABLE_32273) BOUND_VARIABLE_27030)) BOUND_VARIABLE_27032) (ho_421 (ho_425 (ho_424 (ho_423 k_633 BOUND_VARIABLE_32273) BOUND_VARIABLE_27030) BOUND_VARIABLE_32282) BOUND_VARIABLE_27032))))) (let ((_let_1093 (forall ((BOUND_VARIABLE_32291 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_27001 tptp.produc62062515n_game) (BOUND_VARIABLE_27002 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_423 k_435 BOUND_VARIABLE_32291) BOUND_VARIABLE_27002)) BOUND_VARIABLE_27001) (ho_385 (ho_483 (ho_624 k_634 BOUND_VARIABLE_32291) BOUND_VARIABLE_27001) BOUND_VARIABLE_27002))))) (let ((_let_1094 (forall ((BOUND_VARIABLE_32306 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_26976 tptp.char) (BOUND_VARIABLE_32315 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_26978 tptp.produc799602994n_game)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_387 k_436 BOUND_VARIABLE_32306) BOUND_VARIABLE_26976)) BOUND_VARIABLE_26978) (ho_421 (ho_425 (ho_424 (ho_423 k_635 BOUND_VARIABLE_32306) BOUND_VARIABLE_26976) BOUND_VARIABLE_32315) BOUND_VARIABLE_26978))))) (let ((_let_1095 (forall ((BOUND_VARIABLE_32324 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_26947 tptp.produc62062515n_game) (BOUND_VARIABLE_26948 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_423 k_437 BOUND_VARIABLE_32324) BOUND_VARIABLE_26948)) BOUND_VARIABLE_26947) (ho_385 (ho_483 (ho_624 k_636 BOUND_VARIABLE_32324) BOUND_VARIABLE_26947) BOUND_VARIABLE_26948))))) (let ((_let_1096 (forall ((BOUND_VARIABLE_32339 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_26918 tptp.produc62062515n_game) (BOUND_VARIABLE_26919 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_423 k_438 BOUND_VARIABLE_32339) BOUND_VARIABLE_26919)) BOUND_VARIABLE_26918) (ho_385 (ho_483 (ho_624 k_637 BOUND_VARIABLE_32339) BOUND_VARIABLE_26918) BOUND_VARIABLE_26919))))) (let ((_let_1097 (forall ((BOUND_VARIABLE_26890 tptp.char) (BOUND_VARIABLE_32365 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_26892 tptp.produc62062515n_game)) (= (ho_469 (ho_639 k_638 (ho_443 k_442 BOUND_VARIABLE_26890)) BOUND_VARIABLE_26892) (ho_469 (ho_468 (ho_467 k_640 BOUND_VARIABLE_26890) BOUND_VARIABLE_32365) BOUND_VARIABLE_26892))))) (let ((_let_1098 (forall ((BOUND_VARIABLE_26878 tptp.fml) (BOUND_VARIABLE_26879 tptp.set_variable) (BOUND_VARIABLE_26880 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_26880))) (= (ho_526 (ho_525 (ho_642 k_641 BOUND_VARIABLE_26878) BOUND_VARIABLE_26879) BOUND_VARIABLE_26880) (and (ho_529 _let_1 (ho_644 k_643 BOUND_VARIABLE_26878)) (ho_529 _let_1 BOUND_VARIABLE_26879))))))) (let ((_let_1099 (forall ((BOUND_VARIABLE_26850 tptp.char) (BOUND_VARIABLE_32400 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_26852 tptp.produc62062515n_game)) (= (ho_469 (ho_639 k_638 (ho_443 k_445 BOUND_VARIABLE_26850)) BOUND_VARIABLE_26852) (ho_469 (ho_468 (ho_467 k_645 BOUND_VARIABLE_26850) BOUND_VARIABLE_32400) BOUND_VARIABLE_26852))))) (let ((_let_1100 (forall ((BOUND_VARIABLE_26838 tptp.fml) (BOUND_VARIABLE_26839 tptp.set_variable) (BOUND_VARIABLE_26840 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_26840))) (= (ho_526 (ho_525 (ho_642 k_646 BOUND_VARIABLE_26838) BOUND_VARIABLE_26839) BOUND_VARIABLE_26840) (and (ho_529 _let_1 (ho_644 k_643 BOUND_VARIABLE_26838)) (ho_529 _let_1 BOUND_VARIABLE_26839))))))) (let ((_let_1101 (forall ((BOUND_VARIABLE_26827 tptp.trm) (BOUND_VARIABLE_26828 tptp.char)) (= (ho_385 (ho_663 k_662 BOUND_VARIABLE_26827) BOUND_VARIABLE_26828) (ho_661 (ho_660 (ho_659 k_658 (= BOUND_VARIABLE_26828 (ho_657 (ho_656 (ho_655 (ho_654 (ho_653 (ho_652 (ho_651 (ho_650 k_649 false) true) true) true) false) true) false) false))) (ho_648 k_647 BOUND_VARIABLE_26827)) tptp.none_trm))))) (let ((_let_1102 (forall ((BOUND_VARIABLE_32490 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_26801 tptp.produc62062515n_game) (BOUND_VARIABLE_26802 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 k_446 BOUND_VARIABLE_26802)) BOUND_VARIABLE_26801) (ho_385 (ho_483 (ho_624 k_664 BOUND_VARIABLE_32490) BOUND_VARIABLE_26801) BOUND_VARIABLE_26802))))) (let ((_let_1103 (forall ((BOUND_VARIABLE_26788 tptp.trm) (BOUND_VARIABLE_26789 tptp.set_variable) (BOUND_VARIABLE_26790 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_26790))) (= (ho_526 (ho_525 (ho_666 k_665 BOUND_VARIABLE_26788) BOUND_VARIABLE_26789) BOUND_VARIABLE_26790) (and (ho_529 _let_1 (ho_668 k_667 BOUND_VARIABLE_26788)) (ho_529 _let_1 BOUND_VARIABLE_26789))))))) (let ((_let_1104 (forall ((BOUND_VARIABLE_26777 tptp.trm) (BOUND_VARIABLE_26778 tptp.char)) (= (ho_385 (ho_663 k_669 BOUND_VARIABLE_26777) BOUND_VARIABLE_26778) (ho_661 (ho_660 (ho_659 k_658 (= BOUND_VARIABLE_26778 (ho_657 (ho_656 (ho_655 (ho_654 (ho_653 (ho_652 (ho_651 (ho_650 k_649 false) true) true) true) false) true) false) false))) (ho_648 k_647 BOUND_VARIABLE_26777)) tptp.none_trm))))) (let ((_let_1105 (forall ((BOUND_VARIABLE_26753 tptp.produc1418842292n_game) (BOUND_VARIABLE_26754 tptp.char) (BOUND_VARIABLE_26755 tptp.set_variable) (BOUND_VARIABLE_26756 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_26756))) (= (and (ho_529 _let_1 (ho_668 k_667 (ho_675 k_674 (ho_385 (ho_673 (ho_672 k_671 k_670) BOUND_VARIABLE_26753) BOUND_VARIABLE_26754)))) (ho_529 _let_1 BOUND_VARIABLE_26755)) (ho_526 (ho_525 (ho_678 (ho_677 k_676 BOUND_VARIABLE_26753) BOUND_VARIABLE_26754) BOUND_VARIABLE_26755) BOUND_VARIABLE_26756)))))) (let ((_let_1106 (forall ((BOUND_VARIABLE_26736 tptp.produc1418842292n_game) (BOUND_VARIABLE_26737 tptp.set_variable) (BOUND_VARIABLE_26738 tptp.trm) (BOUND_VARIABLE_26739 tptp.char)) (= (ho_385 (ho_663 (ho_684 (ho_683 k_682 BOUND_VARIABLE_26736) BOUND_VARIABLE_26737) BOUND_VARIABLE_26738) BOUND_VARIABLE_26739) (ho_661 (ho_660 (ho_659 k_658 (= BOUND_VARIABLE_26739 (ho_657 (ho_656 (ho_655 (ho_654 (ho_653 (ho_652 (ho_651 (ho_650 k_649 false) true) true) true) false) true) false) false))) (ho_648 k_647 (ho_675 k_674 (ho_648 (ho_681 (ho_680 k_679 BOUND_VARIABLE_26736) BOUND_VARIABLE_26737) BOUND_VARIABLE_26738)))) tptp.none_trm))))) (let ((_let_1107 (forall ((BOUND_VARIABLE_32609 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_26710 tptp.produc62062515n_game) (BOUND_VARIABLE_26711 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 k_447 BOUND_VARIABLE_26711)) BOUND_VARIABLE_26710) (ho_385 (ho_483 (ho_624 k_670 BOUND_VARIABLE_32609) BOUND_VARIABLE_26710) BOUND_VARIABLE_26711))))) (let ((_let_1108 (forall ((BOUND_VARIABLE_26685 tptp.produc1418842292n_game) (BOUND_VARIABLE_26686 tptp.char) (BOUND_VARIABLE_26687 tptp.set_variable) (BOUND_VARIABLE_26688 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_26688))) (= (and (ho_529 _let_1 (ho_668 k_667 (ho_675 k_674 (ho_385 (ho_673 (ho_672 k_671 k_685) BOUND_VARIABLE_26685) BOUND_VARIABLE_26686)))) (ho_529 _let_1 BOUND_VARIABLE_26687)) (ho_526 (ho_525 (ho_678 (ho_677 k_686 BOUND_VARIABLE_26685) BOUND_VARIABLE_26686) BOUND_VARIABLE_26687) BOUND_VARIABLE_26688)))))) (let ((_let_1109 (forall ((BOUND_VARIABLE_26674 tptp.set_Pr79606376n_game) (BOUND_VARIABLE_32641 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_32640 |u_(-> tptp.char tptp.option_game)|)) (= (ho_690 (ho_689 (ho_688 k_687 BOUND_VARIABLE_26674) BOUND_VARIABLE_32641) BOUND_VARIABLE_32640) (ho_693 (ho_692 k_691 (ho_475 (ho_474 k_473 BOUND_VARIABLE_32641) BOUND_VARIABLE_32640)) BOUND_VARIABLE_26674))))) (let ((_let_1110 (forall ((BOUND_VARIABLE_26663 tptp.set_Pr79606376n_game) (BOUND_VARIABLE_32676 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_32675 |u_(-> tptp.char tptp.option_game)|)) (= (ho_690 (ho_689 (ho_688 k_694 BOUND_VARIABLE_26663) BOUND_VARIABLE_32676) BOUND_VARIABLE_32675) (ho_693 (ho_692 k_691 (ho_475 (ho_474 k_473 BOUND_VARIABLE_32676) BOUND_VARIABLE_32675)) BOUND_VARIABLE_26663))))) (let ((_let_1111 (forall ((BOUND_VARIABLE_26649 tptp.set_Pr79606376n_game) (BOUND_VARIABLE_26650 tptp.set_Pr79606376n_game) (BOUND_VARIABLE_32693 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_32692 |u_(-> tptp.char tptp.option_game)|)) (= (ho_690 (ho_689 (ho_688 (ho_696 k_695 BOUND_VARIABLE_26649) BOUND_VARIABLE_26650) BOUND_VARIABLE_32693) BOUND_VARIABLE_32692) (ho_693 (ho_692 k_691 (ho_475 (ho_474 k_473 BOUND_VARIABLE_32693) BOUND_VARIABLE_32692)) (ho_699 (ho_698 k_697 BOUND_VARIABLE_26649) BOUND_VARIABLE_26650)))))) (let ((_let_1112 (forall ((BOUND_VARIABLE_26638 tptp.set_Pr739694057n_game) (BOUND_VARIABLE_32722 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_26640 tptp.produc799602994n_game)) (= (ho_703 (ho_702 (ho_701 k_700 BOUND_VARIABLE_26638) BOUND_VARIABLE_32722) BOUND_VARIABLE_26640) (ho_706 (ho_705 k_704 (ho_482 (ho_481 k_480 BOUND_VARIABLE_32722) BOUND_VARIABLE_26640)) BOUND_VARIABLE_26638))))) (let ((_let_1113 (forall ((BOUND_VARIABLE_26627 tptp.set_Pr739694057n_game) (BOUND_VARIABLE_32755 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_26629 tptp.produc799602994n_game)) (= (ho_703 (ho_702 (ho_701 k_707 BOUND_VARIABLE_26627) BOUND_VARIABLE_32755) BOUND_VARIABLE_26629) (ho_706 (ho_705 k_704 (ho_482 (ho_481 k_480 BOUND_VARIABLE_32755) BOUND_VARIABLE_26629)) BOUND_VARIABLE_26627))))) (let ((_let_1114 (forall ((BOUND_VARIABLE_26613 tptp.set_Pr739694057n_game) (BOUND_VARIABLE_26614 tptp.set_Pr739694057n_game) (BOUND_VARIABLE_32771 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_26616 tptp.produc799602994n_game)) (= (ho_703 (ho_702 (ho_701 (ho_709 k_708 BOUND_VARIABLE_26613) BOUND_VARIABLE_26614) BOUND_VARIABLE_32771) BOUND_VARIABLE_26616) (ho_706 (ho_705 k_704 (ho_482 (ho_481 k_480 BOUND_VARIABLE_32771) BOUND_VARIABLE_26616)) (ho_712 (ho_711 k_710 BOUND_VARIABLE_26613) BOUND_VARIABLE_26614)))))) (let ((_let_1115 (forall ((BOUND_VARIABLE_26602 tptp.set_Pr720454634n_game) (BOUND_VARIABLE_32800 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_26604 tptp.produc62062515n_game)) (= (ho_716 (ho_715 (ho_714 k_713 BOUND_VARIABLE_26602) BOUND_VARIABLE_32800) BOUND_VARIABLE_26604) (ho_719 (ho_718 k_717 (ho_491 (ho_490 k_489 BOUND_VARIABLE_32800) BOUND_VARIABLE_26604)) BOUND_VARIABLE_26602))))) (let ((_let_1116 (forall ((BOUND_VARIABLE_26591 tptp.set_Pr720454634n_game) (BOUND_VARIABLE_32833 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_26593 tptp.produc62062515n_game)) (= (ho_716 (ho_715 (ho_714 k_720 BOUND_VARIABLE_26591) BOUND_VARIABLE_32833) BOUND_VARIABLE_26593) (ho_719 (ho_718 k_717 (ho_491 (ho_490 k_489 BOUND_VARIABLE_32833) BOUND_VARIABLE_26593)) BOUND_VARIABLE_26591))))) (let ((_let_1117 (forall ((BOUND_VARIABLE_26577 tptp.set_Pr720454634n_game) (BOUND_VARIABLE_26578 tptp.set_Pr720454634n_game) (BOUND_VARIABLE_32849 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_26580 tptp.produc62062515n_game)) (= (ho_716 (ho_715 (ho_714 (ho_722 k_721 BOUND_VARIABLE_26577) BOUND_VARIABLE_26578) BOUND_VARIABLE_32849) BOUND_VARIABLE_26580) (ho_719 (ho_718 k_717 (ho_491 (ho_490 k_489 BOUND_VARIABLE_32849) BOUND_VARIABLE_26580)) (ho_725 (ho_724 k_723 BOUND_VARIABLE_26577) BOUND_VARIABLE_26578)))))) (let ((_let_1118 (forall ((BOUND_VARIABLE_26566 tptp.set_Pr1235432374le_trm) (BOUND_VARIABLE_26567 tptp.set_variable) (BOUND_VARIABLE_26568 tptp.trm)) (= (ho_729 (ho_728 (ho_727 k_726 BOUND_VARIABLE_26566) BOUND_VARIABLE_26567) BOUND_VARIABLE_26568) (ho_735 (ho_734 k_733 (ho_732 (ho_731 k_730 BOUND_VARIABLE_26567) BOUND_VARIABLE_26568)) BOUND_VARIABLE_26566))))) (let ((_let_1119 (forall ((BOUND_VARIABLE_26555 tptp.set_Pr1235432374le_trm) (BOUND_VARIABLE_26556 tptp.set_variable) (BOUND_VARIABLE_26557 tptp.trm)) (= (ho_729 (ho_728 (ho_727 k_736 BOUND_VARIABLE_26555) BOUND_VARIABLE_26556) BOUND_VARIABLE_26557) (ho_735 (ho_734 k_733 (ho_732 (ho_731 k_730 BOUND_VARIABLE_26556) BOUND_VARIABLE_26557)) BOUND_VARIABLE_26555))))) (let ((_let_1120 (forall ((BOUND_VARIABLE_26541 tptp.set_Pr1235432374le_trm) (BOUND_VARIABLE_26542 tptp.set_Pr1235432374le_trm) (BOUND_VARIABLE_26543 tptp.set_variable) (BOUND_VARIABLE_26544 tptp.trm)) (= (ho_729 (ho_728 (ho_727 (ho_738 k_737 BOUND_VARIABLE_26541) BOUND_VARIABLE_26542) BOUND_VARIABLE_26543) BOUND_VARIABLE_26544) (ho_735 (ho_734 k_733 (ho_732 (ho_731 k_730 BOUND_VARIABLE_26543) BOUND_VARIABLE_26544)) (ho_741 (ho_740 k_739 BOUND_VARIABLE_26541) BOUND_VARIABLE_26542)))))) (let ((_let_1121 (forall ((BOUND_VARIABLE_26530 tptp.set_Pr943832262on_trm) (BOUND_VARIABLE_26531 tptp.char) (BOUND_VARIABLE_26532 tptp.option_trm)) (= (ho_745 (ho_744 (ho_743 k_742 BOUND_VARIABLE_26530) BOUND_VARIABLE_26531) BOUND_VARIABLE_26532) (ho_751 (ho_750 k_749 (ho_748 (ho_747 k_746 BOUND_VARIABLE_26531) BOUND_VARIABLE_26532)) BOUND_VARIABLE_26530))))) (let ((_let_1122 (forall ((BOUND_VARIABLE_26519 tptp.set_Pr943832262on_trm) (BOUND_VARIABLE_26520 tptp.char) (BOUND_VARIABLE_26521 tptp.option_trm)) (= (ho_745 (ho_744 (ho_743 k_752 BOUND_VARIABLE_26519) BOUND_VARIABLE_26520) BOUND_VARIABLE_26521) (ho_751 (ho_750 k_749 (ho_748 (ho_747 k_746 BOUND_VARIABLE_26520) BOUND_VARIABLE_26521)) BOUND_VARIABLE_26519))))) (let ((_let_1123 (forall ((BOUND_VARIABLE_26505 tptp.set_Pr943832262on_trm) (BOUND_VARIABLE_26506 tptp.set_Pr943832262on_trm) (BOUND_VARIABLE_26507 tptp.char) (BOUND_VARIABLE_26508 tptp.option_trm)) (= (ho_745 (ho_744 (ho_743 (ho_754 k_753 BOUND_VARIABLE_26505) BOUND_VARIABLE_26506) BOUND_VARIABLE_26507) BOUND_VARIABLE_26508) (ho_751 (ho_750 k_749 (ho_748 (ho_747 k_746 BOUND_VARIABLE_26507) BOUND_VARIABLE_26508)) (ho_757 (ho_756 k_755 BOUND_VARIABLE_26505) BOUND_VARIABLE_26506)))))) (let ((_let_1124 (forall ((BOUND_VARIABLE_33027 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|) (BOUND_VARIABLE_26479 tptp.produc799602994n_game) (BOUND_VARIABLE_26480 tptp.char)) (= (ho_441 (ho_440 k_439 (ho_398 (ho_450 k_449 BOUND_VARIABLE_33027) BOUND_VARIABLE_26480)) BOUND_VARIABLE_26479) (ho_384 (ho_459 (ho_759 k_758 BOUND_VARIABLE_33027) BOUND_VARIABLE_26479) BOUND_VARIABLE_26480))))) (let ((_let_1125 (forall ((BOUND_VARIABLE_33046 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|) (BOUND_VARIABLE_26452 tptp.produc799602994n_game) (BOUND_VARIABLE_26453 tptp.char)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_454 k_453 BOUND_VARIABLE_33046) BOUND_VARIABLE_26453)) BOUND_VARIABLE_26452) (ho_385 (ho_463 (ho_761 k_760 BOUND_VARIABLE_33046) BOUND_VARIABLE_26452) BOUND_VARIABLE_26453))))) (let ((_let_1126 (forall ((BOUND_VARIABLE_33065 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_26425 tptp.produc62062515n_game) (BOUND_VARIABLE_26426 tptp.char)) (= (ho_469 (ho_639 k_638 (ho_443 (ho_458 k_457 BOUND_VARIABLE_33065) BOUND_VARIABLE_26426)) BOUND_VARIABLE_26425) (ho_384 (ho_470 (ho_763 k_762 BOUND_VARIABLE_33065) BOUND_VARIABLE_26425) BOUND_VARIABLE_26426))))) (let ((_let_1127 (forall ((BOUND_VARIABLE_33084 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (BOUND_VARIABLE_26398 tptp.produc62062515n_game) (BOUND_VARIABLE_26399 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_462 k_461 BOUND_VARIABLE_33084) BOUND_VARIABLE_26399)) BOUND_VARIABLE_26398) (ho_385 (ho_483 (ho_765 k_764 BOUND_VARIABLE_33084) BOUND_VARIABLE_26398) BOUND_VARIABLE_26399))))) (let ((_let_1128 (forall ((BOUND_VARIABLE_33103 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_26371 tptp.produc1418842292n_game) (BOUND_VARIABLE_26372 tptp.char)) (= (ho_768 (ho_767 k_766 (ho_467 (ho_466 k_465 BOUND_VARIABLE_33103) BOUND_VARIABLE_26372)) BOUND_VARIABLE_26371) (ho_384 (ho_486 (ho_770 k_769 BOUND_VARIABLE_33103) BOUND_VARIABLE_26371) BOUND_VARIABLE_26372))))) (let ((_let_1129 (forall ((BOUND_VARIABLE_33130 |u_(-> tptp.produc799602994n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_26345 tptp.produc799602994n_game) (BOUND_VARIABLE_26346 tptp.char)) (= (ho_441 (ho_440 k_439 (ho_398 (ho_472 k_471 BOUND_VARIABLE_33130) BOUND_VARIABLE_26346)) BOUND_VARIABLE_26345) (ho_384 (ho_459 (ho_772 k_771 BOUND_VARIABLE_33130) BOUND_VARIABLE_26345) BOUND_VARIABLE_26346))))) (let ((_let_1130 (forall ((BOUND_VARIABLE_33149 |u_(-> tptp.produc799602994n_game tptp.char tptp.option_trm)|) (BOUND_VARIABLE_26319 tptp.produc799602994n_game) (BOUND_VARIABLE_26320 tptp.char)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_477 k_476 BOUND_VARIABLE_33149) BOUND_VARIABLE_26320)) BOUND_VARIABLE_26319) (ho_385 (ho_463 (ho_774 k_773 BOUND_VARIABLE_33149) BOUND_VARIABLE_26319) BOUND_VARIABLE_26320))))) (let ((_let_1131 (forall ((BOUND_VARIABLE_33168 |u_(-> tptp.produc62062515n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_26293 tptp.produc62062515n_game) (BOUND_VARIABLE_26294 tptp.char)) (= (ho_469 (ho_639 k_638 (ho_443 (ho_479 k_478 BOUND_VARIABLE_33168) BOUND_VARIABLE_26294)) BOUND_VARIABLE_26293) (ho_384 (ho_470 (ho_776 k_775 BOUND_VARIABLE_33168) BOUND_VARIABLE_26293) BOUND_VARIABLE_26294))))) (let ((_let_1132 (forall ((BOUND_VARIABLE_33187 |u_(-> tptp.produc62062515n_game tptp.char tptp.option_trm)|) (BOUND_VARIABLE_26267 tptp.produc62062515n_game) (BOUND_VARIABLE_26268 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_485 k_484 BOUND_VARIABLE_33187) BOUND_VARIABLE_26268)) BOUND_VARIABLE_26267) (ho_385 (ho_483 (ho_778 k_777 BOUND_VARIABLE_33187) BOUND_VARIABLE_26267) BOUND_VARIABLE_26268))))) (let ((_let_1133 (forall ((BOUND_VARIABLE_33206 |u_(-> tptp.produc1418842292n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_26241 tptp.produc1418842292n_game) (BOUND_VARIABLE_26242 tptp.char)) (= (ho_768 (ho_767 k_766 (ho_467 (ho_488 k_487 BOUND_VARIABLE_33206) BOUND_VARIABLE_26242)) BOUND_VARIABLE_26241) (ho_384 (ho_486 (ho_780 k_779 BOUND_VARIABLE_33206) BOUND_VARIABLE_26241) BOUND_VARIABLE_26242))))) (let ((_let_1134 (forall ((BOUND_VARIABLE_33225 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|) (BOUND_VARIABLE_26214 tptp.produc799602994n_game) (BOUND_VARIABLE_26215 tptp.char)) (= (ho_441 (ho_440 k_439 (ho_398 (ho_450 k_492 BOUND_VARIABLE_33225) BOUND_VARIABLE_26215)) BOUND_VARIABLE_26214) (ho_384 (ho_459 (ho_759 k_781 BOUND_VARIABLE_33225) BOUND_VARIABLE_26214) BOUND_VARIABLE_26215))))) (let ((_let_1135 (forall ((BOUND_VARIABLE_33240 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|) (BOUND_VARIABLE_26187 tptp.produc799602994n_game) (BOUND_VARIABLE_26188 tptp.char)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_454 k_493 BOUND_VARIABLE_33240) BOUND_VARIABLE_26188)) BOUND_VARIABLE_26187) (ho_385 (ho_463 (ho_761 k_782 BOUND_VARIABLE_33240) BOUND_VARIABLE_26187) BOUND_VARIABLE_26188))))) (let ((_let_1136 (forall ((BOUND_VARIABLE_33255 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_26160 tptp.produc62062515n_game) (BOUND_VARIABLE_26161 tptp.char)) (= (ho_469 (ho_639 k_638 (ho_443 (ho_458 k_494 BOUND_VARIABLE_33255) BOUND_VARIABLE_26161)) BOUND_VARIABLE_26160) (ho_384 (ho_470 (ho_763 k_783 BOUND_VARIABLE_33255) BOUND_VARIABLE_26160) BOUND_VARIABLE_26161))))) (let ((_let_1137 (forall ((BOUND_VARIABLE_33270 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (BOUND_VARIABLE_26133 tptp.produc62062515n_game) (BOUND_VARIABLE_26134 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_462 k_495 BOUND_VARIABLE_33270) BOUND_VARIABLE_26134)) BOUND_VARIABLE_26133) (ho_385 (ho_483 (ho_765 k_784 BOUND_VARIABLE_33270) BOUND_VARIABLE_26133) BOUND_VARIABLE_26134))))) (let ((_let_1138 (forall ((BOUND_VARIABLE_33285 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_26106 tptp.produc1418842292n_game) (BOUND_VARIABLE_26107 tptp.char)) (= (ho_768 (ho_767 k_766 (ho_467 (ho_466 k_496 BOUND_VARIABLE_33285) BOUND_VARIABLE_26107)) BOUND_VARIABLE_26106) (ho_384 (ho_486 (ho_770 k_785 BOUND_VARIABLE_33285) BOUND_VARIABLE_26106) BOUND_VARIABLE_26107))))) (let ((_let_1139 (forall ((BOUND_VARIABLE_33304 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|) (BOUND_VARIABLE_33301 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_33300 |u_(-> tptp.char tptp.option_game)|) (BOUND_VARIABLE_26078 tptp.char)) (= (ho_441 (ho_440 k_439 (ho_398 (ho_450 k_497 BOUND_VARIABLE_33304) BOUND_VARIABLE_26078)) (ho_475 (ho_474 k_473 BOUND_VARIABLE_33301) BOUND_VARIABLE_33300)) (ho_384 (ho_451 (ho_448 (ho_787 k_786 BOUND_VARIABLE_33304) BOUND_VARIABLE_33301) BOUND_VARIABLE_33300) BOUND_VARIABLE_26078))))) (let ((_let_1140 (forall ((BOUND_VARIABLE_33329 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|) (BOUND_VARIABLE_33326 |u_(-> tptp.char tptp.option_fml)|) (BOUND_VARIABLE_33325 |u_(-> tptp.char tptp.option_game)|) (BOUND_VARIABLE_26048 tptp.char)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_454 k_498 BOUND_VARIABLE_33329) BOUND_VARIABLE_26048)) (ho_475 (ho_474 k_473 BOUND_VARIABLE_33326) BOUND_VARIABLE_33325)) (ho_385 (ho_455 (ho_452 (ho_789 k_788 BOUND_VARIABLE_33329) BOUND_VARIABLE_33326) BOUND_VARIABLE_33325) BOUND_VARIABLE_26048))))) (let ((_let_1141 (forall ((BOUND_VARIABLE_33353 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_33350 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_26017 tptp.produc799602994n_game) (BOUND_VARIABLE_26018 tptp.char)) (= (ho_469 (ho_639 k_638 (ho_443 (ho_458 k_499 BOUND_VARIABLE_33353) BOUND_VARIABLE_26018)) (ho_482 (ho_481 k_480 BOUND_VARIABLE_33350) BOUND_VARIABLE_26017)) (ho_384 (ho_459 (ho_456 (ho_791 k_790 BOUND_VARIABLE_33353) BOUND_VARIABLE_33350) BOUND_VARIABLE_26017) BOUND_VARIABLE_26018))))) (let ((_let_1142 (forall ((BOUND_VARIABLE_33377 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (BOUND_VARIABLE_33374 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_25987 tptp.produc799602994n_game) (BOUND_VARIABLE_25988 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_462 k_500 BOUND_VARIABLE_33377) BOUND_VARIABLE_25988)) (ho_482 (ho_481 k_480 BOUND_VARIABLE_33374) BOUND_VARIABLE_25987)) (ho_385 (ho_463 (ho_460 (ho_793 k_792 BOUND_VARIABLE_33377) BOUND_VARIABLE_33374) BOUND_VARIABLE_25987) BOUND_VARIABLE_25988))))) (let ((_let_1143 (forall ((BOUND_VARIABLE_33401 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_33398 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_25957 tptp.produc62062515n_game) (BOUND_VARIABLE_25958 tptp.char)) (= (ho_768 (ho_767 k_766 (ho_467 (ho_466 k_501 BOUND_VARIABLE_33401) BOUND_VARIABLE_25958)) (ho_491 (ho_490 k_489 BOUND_VARIABLE_33398) BOUND_VARIABLE_25957)) (ho_384 (ho_470 (ho_464 (ho_795 k_794 BOUND_VARIABLE_33401) BOUND_VARIABLE_33398) BOUND_VARIABLE_25957) BOUND_VARIABLE_25958))))) (let ((_let_1144 (forall ((BOUND_VARIABLE_25950 tptp.char)) (ho_533 k_796 BOUND_VARIABLE_25950)))) (let ((_let_1145 (forall ((BOUND_VARIABLE_25926 tptp.produc1418842292n_game) (BOUND_VARIABLE_25927 tptp.char) (BOUND_VARIABLE_25928 tptp.set_variable) (BOUND_VARIABLE_25929 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_25929))) (= (and (ho_529 _let_1 (ho_668 k_667 (ho_675 k_674 (ho_385 (ho_673 (ho_672 k_671 k_685) BOUND_VARIABLE_25926) BOUND_VARIABLE_25927)))) (ho_529 _let_1 BOUND_VARIABLE_25928)) (ho_526 (ho_525 (ho_678 (ho_677 k_797 BOUND_VARIABLE_25926) BOUND_VARIABLE_25927) BOUND_VARIABLE_25928) BOUND_VARIABLE_25929)))))) (let ((_let_1146 (forall ((BOUND_VARIABLE_25902 tptp.produc1418842292n_game) (BOUND_VARIABLE_25903 tptp.char) (BOUND_VARIABLE_25904 tptp.set_variable) (BOUND_VARIABLE_25905 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_25905))) (= (and (ho_529 _let_1 (ho_668 k_667 (ho_675 k_674 (ho_385 (ho_673 (ho_672 k_671 k_798) BOUND_VARIABLE_25902) BOUND_VARIABLE_25903)))) (ho_529 _let_1 BOUND_VARIABLE_25904)) (ho_526 (ho_525 (ho_678 (ho_677 k_799 BOUND_VARIABLE_25902) BOUND_VARIABLE_25903) BOUND_VARIABLE_25904) BOUND_VARIABLE_25905)))))) (let ((_let_1147 (forall ((BOUND_VARIABLE_25885 tptp.produc1418842292n_game) (BOUND_VARIABLE_25886 tptp.set_variable) (BOUND_VARIABLE_25887 tptp.trm) (BOUND_VARIABLE_25888 tptp.char)) (= (ho_385 (ho_663 (ho_684 (ho_683 k_800 BOUND_VARIABLE_25885) BOUND_VARIABLE_25886) BOUND_VARIABLE_25887) BOUND_VARIABLE_25888) (ho_661 (ho_660 (ho_659 k_658 (= BOUND_VARIABLE_25888 (ho_657 (ho_656 (ho_655 (ho_654 (ho_653 (ho_652 (ho_651 (ho_650 k_649 false) true) true) true) false) true) false) false))) (ho_648 k_647 (ho_675 k_674 (ho_648 (ho_681 (ho_680 k_679 BOUND_VARIABLE_25885) BOUND_VARIABLE_25886) BOUND_VARIABLE_25887)))) tptp.none_trm))))) (let ((_let_1148 (forall ((BOUND_VARIABLE_33492 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_25859 tptp.produc62062515n_game) (BOUND_VARIABLE_25860 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 k_502 BOUND_VARIABLE_25860)) BOUND_VARIABLE_25859) (ho_385 (ho_483 (ho_624 k_798 BOUND_VARIABLE_33492) BOUND_VARIABLE_25859) BOUND_VARIABLE_25860))))) (let ((_let_1149 (forall ((BOUND_VARIABLE_33500 |u_(-> tptp.game tptp.game tptp.game)|) (BOUND_VARIABLE_25829 tptp.game) (BOUND_VARIABLE_25830 tptp.game)) (= (ho_804 (ho_803 (ho_802 k_801 (ho_507 k_509 BOUND_VARIABLE_25830)) (ho_506 (ho_505 k_504 BOUND_VARIABLE_33500) BOUND_VARIABLE_25830)) (ho_507 k_509 BOUND_VARIABLE_25829)) (ho_507 (ho_506 (ho_505 k_805 BOUND_VARIABLE_33500) BOUND_VARIABLE_25829) BOUND_VARIABLE_25830))))) (let ((_let_1150 (forall ((BOUND_VARIABLE_33530 |u_(-> tptp.fml tptp.fml tptp.fml)|) (BOUND_VARIABLE_25799 tptp.fml) (BOUND_VARIABLE_25800 tptp.fml)) (= (ho_809 (ho_808 (ho_807 k_806 (ho_514 k_516 BOUND_VARIABLE_25800)) (ho_513 (ho_512 k_511 BOUND_VARIABLE_33530) BOUND_VARIABLE_25800)) (ho_514 k_516 BOUND_VARIABLE_25799)) (ho_514 (ho_513 (ho_512 k_810 BOUND_VARIABLE_33530) BOUND_VARIABLE_25799) BOUND_VARIABLE_25800))))) (let ((_let_1151 (forall ((BOUND_VARIABLE_33559 |u_(-> tptp.game tptp.game tptp.game)|) (BOUND_VARIABLE_25770 tptp.option_game) (BOUND_VARIABLE_25771 tptp.game)) (= (ho_804 (ho_803 (ho_802 k_801 (ho_507 k_509 BOUND_VARIABLE_25771)) (ho_506 (ho_505 k_517 BOUND_VARIABLE_33559) BOUND_VARIABLE_25771)) BOUND_VARIABLE_25770) (ho_507 (ho_813 (ho_812 k_811 BOUND_VARIABLE_33559) BOUND_VARIABLE_25770) BOUND_VARIABLE_25771))))) (let ((_let_1152 (forall ((BOUND_VARIABLE_33583 |u_(-> tptp.fml tptp.fml tptp.fml)|) (BOUND_VARIABLE_25741 tptp.option_fml) (BOUND_VARIABLE_25742 tptp.fml)) (= (ho_809 (ho_808 (ho_807 k_806 (ho_514 k_516 BOUND_VARIABLE_25742)) (ho_513 (ho_512 k_518 BOUND_VARIABLE_33583) BOUND_VARIABLE_25742)) BOUND_VARIABLE_25741) (ho_514 (ho_816 (ho_815 k_814 BOUND_VARIABLE_33583) BOUND_VARIABLE_25741) BOUND_VARIABLE_25742))))) (let ((_let_1153 (forall ((BOUND_VARIABLE_33607 |u_(-> tptp.game tptp.game tptp.game)|) (BOUND_VARIABLE_25713 tptp.game)) (= (ho_804 (ho_803 (ho_802 k_801 (ho_507 k_509 BOUND_VARIABLE_25713)) (ho_506 (ho_505 k_519 BOUND_VARIABLE_33607) BOUND_VARIABLE_25713)) tptp.none_game) (ho_507 (ho_818 k_817 BOUND_VARIABLE_33607) BOUND_VARIABLE_25713))))) (let ((_let_1154 (forall ((BOUND_VARIABLE_33626 |u_(-> tptp.fml tptp.fml tptp.fml)|) (BOUND_VARIABLE_25685 tptp.fml)) (= (ho_809 (ho_808 (ho_807 k_806 (ho_514 k_516 BOUND_VARIABLE_25685)) (ho_513 (ho_512 k_520 BOUND_VARIABLE_33626) BOUND_VARIABLE_25685)) tptp.none_fml) (ho_514 (ho_820 k_819 BOUND_VARIABLE_33626) BOUND_VARIABLE_25685))))) (let ((_let_1155 (forall ((BOUND_VARIABLE_33651 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_25658 tptp.produc62062515n_game) (BOUND_VARIABLE_25659 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 k_521 BOUND_VARIABLE_25659)) BOUND_VARIABLE_25658) (ho_385 (ho_483 (ho_624 k_821 BOUND_VARIABLE_33651) BOUND_VARIABLE_25658) BOUND_VARIABLE_25659))))) (let ((_let_1156 (forall ((BOUND_VARIABLE_25645 tptp.trm) (BOUND_VARIABLE_25646 tptp.set_variable) (BOUND_VARIABLE_25647 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_25647))) (= (ho_526 (ho_525 (ho_666 k_822 BOUND_VARIABLE_25645) BOUND_VARIABLE_25646) BOUND_VARIABLE_25647) (and (ho_529 _let_1 (ho_668 k_667 BOUND_VARIABLE_25645)) (ho_529 _let_1 BOUND_VARIABLE_25646))))))) (let ((_let_1157 (forall ((BOUND_VARIABLE_25634 tptp.trm) (BOUND_VARIABLE_25635 tptp.char)) (= (ho_385 (ho_663 k_823 BOUND_VARIABLE_25634) BOUND_VARIABLE_25635) (ho_661 (ho_660 (ho_659 k_658 (= BOUND_VARIABLE_25635 (ho_657 (ho_656 (ho_655 (ho_654 (ho_653 (ho_652 (ho_651 (ho_650 k_649 false) true) true) true) false) true) false) false))) (ho_648 k_647 BOUND_VARIABLE_25634)) tptp.none_trm))))) (let ((_let_1158 (forall ((BOUND_VARIABLE_25610 tptp.produc1418842292n_game) (BOUND_VARIABLE_25611 tptp.char) (BOUND_VARIABLE_25612 tptp.set_variable) (BOUND_VARIABLE_25613 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_25613))) (= (and (ho_529 _let_1 (ho_668 k_667 (ho_675 k_674 (ho_385 (ho_673 (ho_672 k_671 k_685) BOUND_VARIABLE_25610) BOUND_VARIABLE_25611)))) (ho_529 _let_1 BOUND_VARIABLE_25612)) (ho_526 (ho_525 (ho_678 (ho_677 k_824 BOUND_VARIABLE_25610) BOUND_VARIABLE_25611) BOUND_VARIABLE_25612) BOUND_VARIABLE_25613)))))) (let ((_let_1159 (forall ((BOUND_VARIABLE_25586 tptp.produc1418842292n_game) (BOUND_VARIABLE_25587 tptp.char) (BOUND_VARIABLE_25588 tptp.set_variable) (BOUND_VARIABLE_25589 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_25589))) (= (and (ho_529 _let_1 (ho_668 k_667 (ho_675 k_674 (ho_385 (ho_673 (ho_672 k_671 k_825) BOUND_VARIABLE_25586) BOUND_VARIABLE_25587)))) (ho_529 _let_1 BOUND_VARIABLE_25588)) (ho_526 (ho_525 (ho_678 (ho_677 k_826 BOUND_VARIABLE_25586) BOUND_VARIABLE_25587) BOUND_VARIABLE_25588) BOUND_VARIABLE_25589)))))) (let ((_let_1160 (forall ((BOUND_VARIABLE_25569 tptp.set_variable) (BOUND_VARIABLE_25570 tptp.produc1418842292n_game) (BOUND_VARIABLE_25571 tptp.trm) (BOUND_VARIABLE_25572 tptp.char)) (= (ho_385 (ho_663 (ho_829 (ho_828 k_827 BOUND_VARIABLE_25569) BOUND_VARIABLE_25570) BOUND_VARIABLE_25571) BOUND_VARIABLE_25572) (ho_661 (ho_660 (ho_659 k_658 (= BOUND_VARIABLE_25572 (ho_657 (ho_656 (ho_655 (ho_654 (ho_653 (ho_652 (ho_651 (ho_650 k_649 false) true) true) true) false) true) false) false))) (ho_648 k_647 (ho_675 k_674 (ho_648 (ho_681 (ho_680 k_679 BOUND_VARIABLE_25570) BOUND_VARIABLE_25569) BOUND_VARIABLE_25571)))) tptp.none_trm))))) (let ((_let_1161 (forall ((BOUND_VARIABLE_33757 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_25543 tptp.produc62062515n_game) (BOUND_VARIABLE_25544 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 k_522 BOUND_VARIABLE_25544)) BOUND_VARIABLE_25543) (ho_385 (ho_483 (ho_624 k_825 BOUND_VARIABLE_33757) BOUND_VARIABLE_25543) BOUND_VARIABLE_25544))))) (let ((_let_1162 (forall ((BOUND_VARIABLE_25537 tptp.variable)) (ho_526 k_830 BOUND_VARIABLE_25537)))) (let ((_let_1163 (forall ((BOUND_VARIABLE_25530 tptp.variable)) (= (ho_526 k_831 BOUND_VARIABLE_25530) (ho_529 (ho_528 k_527 BOUND_VARIABLE_25530) (ho_834 k_833 k_832)))))) (let ((_let_1164 (forall ((BOUND_VARIABLE_25523 tptp.char)) (= (ho_533 k_835 BOUND_VARIABLE_25523) (ho_536 (ho_535 k_534 BOUND_VARIABLE_25523) (ho_838 k_837 k_836)))))) (let ((_let_1165 (forall ((BOUND_VARIABLE_25515 tptp.set_variable) (BOUND_VARIABLE_25516 tptp.variable)) (= (ho_526 (ho_525 k_839 BOUND_VARIABLE_25515) BOUND_VARIABLE_25516) (ho_529 (ho_528 k_527 BOUND_VARIABLE_25516) BOUND_VARIABLE_25515))))) (let ((_let_1166 (forall ((BOUND_VARIABLE_25507 tptp.set_variable) (BOUND_VARIABLE_25508 tptp.variable)) (= (ho_526 (ho_525 k_840 BOUND_VARIABLE_25507) BOUND_VARIABLE_25508) (ho_529 (ho_528 k_527 BOUND_VARIABLE_25508) BOUND_VARIABLE_25507))))) (let ((_let_1167 (forall ((BOUND_VARIABLE_25479 tptp.set_variable) (BOUND_VARIABLE_25480 tptp.set_variable) (BOUND_VARIABLE_25481 tptp.variable)) (= (ho_529 (ho_528 k_527 BOUND_VARIABLE_25481) (ho_834 k_833 (ho_525 (ho_524 k_523 BOUND_VARIABLE_25479) BOUND_VARIABLE_25480))) (ho_526 (ho_525 (ho_524 k_841 BOUND_VARIABLE_25479) BOUND_VARIABLE_25480) BOUND_VARIABLE_25481))))) (let ((_let_1168 (forall ((BOUND_VARIABLE_25471 tptp.set_char) (BOUND_VARIABLE_25472 tptp.char)) (= (ho_533 (ho_532 k_842 BOUND_VARIABLE_25471) BOUND_VARIABLE_25472) (ho_536 (ho_535 k_534 BOUND_VARIABLE_25472) BOUND_VARIABLE_25471))))) (let ((_let_1169 (forall ((BOUND_VARIABLE_25463 tptp.set_char) (BOUND_VARIABLE_25464 tptp.char)) (= (ho_533 (ho_532 k_843 BOUND_VARIABLE_25463) BOUND_VARIABLE_25464) (ho_536 (ho_535 k_534 BOUND_VARIABLE_25464) BOUND_VARIABLE_25463))))) (let ((_let_1170 (forall ((BOUND_VARIABLE_25435 tptp.set_char) (BOUND_VARIABLE_25436 tptp.set_char) (BOUND_VARIABLE_25437 tptp.char)) (= (ho_536 (ho_535 k_534 BOUND_VARIABLE_25437) (ho_838 k_837 (ho_532 (ho_531 k_530 BOUND_VARIABLE_25435) BOUND_VARIABLE_25436))) (ho_533 (ho_532 (ho_531 k_844 BOUND_VARIABLE_25435) BOUND_VARIABLE_25436) BOUND_VARIABLE_25437))))) (let ((_let_1171 (forall ((BOUND_VARIABLE_33860 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|) (BOUND_VARIABLE_25409 tptp.produc799602994n_game) (BOUND_VARIABLE_25410 tptp.char)) (= (ho_441 (ho_440 k_439 (ho_398 (ho_450 k_537 BOUND_VARIABLE_33860) BOUND_VARIABLE_25410)) BOUND_VARIABLE_25409) (ho_384 (ho_459 (ho_759 k_845 BOUND_VARIABLE_33860) BOUND_VARIABLE_25409) BOUND_VARIABLE_25410))))) (let ((_let_1172 (forall ((BOUND_VARIABLE_33876 |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|) (BOUND_VARIABLE_33875 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|) (BOUND_VARIABLE_25377 tptp.produc799602994n_game) (BOUND_VARIABLE_25378 tptp.char)) (= (ho_441 (ho_440 k_439 (ho_398 (ho_450 (ho_540 k_539 BOUND_VARIABLE_33876) BOUND_VARIABLE_33875) BOUND_VARIABLE_25378)) BOUND_VARIABLE_25377) (ho_384 (ho_459 (ho_759 (ho_847 k_846 BOUND_VARIABLE_33876) BOUND_VARIABLE_33875) BOUND_VARIABLE_25377) BOUND_VARIABLE_25378))))) (let ((_let_1173 (forall ((BOUND_VARIABLE_33898 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|) (BOUND_VARIABLE_25348 tptp.produc799602994n_game) (BOUND_VARIABLE_25349 tptp.char)) (= (ho_441 (ho_440 k_439 (ho_398 (ho_450 k_541 BOUND_VARIABLE_33898) BOUND_VARIABLE_25349)) BOUND_VARIABLE_25348) (ho_384 (ho_459 (ho_759 k_848 BOUND_VARIABLE_33898) BOUND_VARIABLE_25348) BOUND_VARIABLE_25349))))) (let ((_let_1174 (forall ((BOUND_VARIABLE_33914 |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)|) (BOUND_VARIABLE_33913 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_fml)|) (BOUND_VARIABLE_25316 tptp.produc799602994n_game) (BOUND_VARIABLE_25317 tptp.char)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_545 (ho_544 k_543 BOUND_VARIABLE_33914) BOUND_VARIABLE_33913) BOUND_VARIABLE_25317)) BOUND_VARIABLE_25316) (ho_385 (ho_463 (ho_851 (ho_850 k_849 BOUND_VARIABLE_33914) BOUND_VARIABLE_33913) BOUND_VARIABLE_25316) BOUND_VARIABLE_25317))))) (let ((_let_1175 (forall ((BOUND_VARIABLE_33940 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|) (BOUND_VARIABLE_25288 tptp.produc799602994n_game) (BOUND_VARIABLE_25289 tptp.char)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_454 k_546 BOUND_VARIABLE_33940) BOUND_VARIABLE_25289)) BOUND_VARIABLE_25288) (ho_385 (ho_463 (ho_761 k_852 BOUND_VARIABLE_33940) BOUND_VARIABLE_25288) BOUND_VARIABLE_25289))))) (let ((_let_1176 (forall ((BOUND_VARIABLE_33956 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)|) (BOUND_VARIABLE_33955 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|) (BOUND_VARIABLE_25256 tptp.produc799602994n_game) (BOUND_VARIABLE_25257 tptp.char)) (= (ho_441 (ho_440 k_439 (ho_398 (ho_550 (ho_549 k_548 BOUND_VARIABLE_33956) BOUND_VARIABLE_33955) BOUND_VARIABLE_25257)) BOUND_VARIABLE_25256) (ho_384 (ho_459 (ho_855 (ho_854 k_853 BOUND_VARIABLE_33956) BOUND_VARIABLE_33955) BOUND_VARIABLE_25256) BOUND_VARIABLE_25257))))) (let ((_let_1177 (forall ((BOUND_VARIABLE_33982 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|) (BOUND_VARIABLE_25227 tptp.produc799602994n_game) (BOUND_VARIABLE_25228 tptp.char)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_454 k_551 BOUND_VARIABLE_33982) BOUND_VARIABLE_25228)) BOUND_VARIABLE_25227) (ho_385 (ho_463 (ho_761 k_856 BOUND_VARIABLE_33982) BOUND_VARIABLE_25227) BOUND_VARIABLE_25228))))) (let ((_let_1178 (forall ((BOUND_VARIABLE_33998 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)|) (BOUND_VARIABLE_33997 |u_(-> _u_(-> tptp.char tptp.option_fml)_ _u_(-> tptp.char tptp.option_game)_ tptp.char tptp.option_trm)|) (BOUND_VARIABLE_25195 tptp.produc799602994n_game) (BOUND_VARIABLE_25196 tptp.char)) (= (ho_421 (ho_420 k_419 (ho_388 (ho_454 (ho_554 k_553 BOUND_VARIABLE_33998) BOUND_VARIABLE_33997) BOUND_VARIABLE_25196)) BOUND_VARIABLE_25195) (ho_385 (ho_463 (ho_761 (ho_858 k_857 BOUND_VARIABLE_33998) BOUND_VARIABLE_33997) BOUND_VARIABLE_25195) BOUND_VARIABLE_25196))))) (let ((_let_1179 (forall ((BOUND_VARIABLE_34020 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_25167 tptp.produc62062515n_game) (BOUND_VARIABLE_25168 tptp.char)) (= (ho_469 (ho_639 k_638 (ho_443 (ho_458 k_555 BOUND_VARIABLE_34020) BOUND_VARIABLE_25168)) BOUND_VARIABLE_25167) (ho_384 (ho_470 (ho_763 k_859 BOUND_VARIABLE_34020) BOUND_VARIABLE_25167) BOUND_VARIABLE_25168))))) (let ((_let_1180 (forall ((BOUND_VARIABLE_34036 |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|) (BOUND_VARIABLE_34035 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_25135 tptp.produc62062515n_game) (BOUND_VARIABLE_25136 tptp.char)) (= (ho_469 (ho_639 k_638 (ho_443 (ho_458 (ho_557 k_556 BOUND_VARIABLE_34036) BOUND_VARIABLE_34035) BOUND_VARIABLE_25136)) BOUND_VARIABLE_25135) (ho_384 (ho_470 (ho_763 (ho_861 k_860 BOUND_VARIABLE_34036) BOUND_VARIABLE_34035) BOUND_VARIABLE_25135) BOUND_VARIABLE_25136))))) (let ((_let_1181 (forall ((BOUND_VARIABLE_34058 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_25106 tptp.produc62062515n_game) (BOUND_VARIABLE_25107 tptp.char)) (= (ho_469 (ho_639 k_638 (ho_443 (ho_458 k_558 BOUND_VARIABLE_34058) BOUND_VARIABLE_25107)) BOUND_VARIABLE_25106) (ho_384 (ho_470 (ho_763 k_862 BOUND_VARIABLE_34058) BOUND_VARIABLE_25106) BOUND_VARIABLE_25107))))) (let ((_let_1182 (forall ((BOUND_VARIABLE_34074 |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_trm)|) (BOUND_VARIABLE_34073 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_25074 tptp.produc62062515n_game) (BOUND_VARIABLE_25075 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_561 (ho_560 k_559 BOUND_VARIABLE_34074) BOUND_VARIABLE_34073) BOUND_VARIABLE_25075)) BOUND_VARIABLE_25074) (ho_385 (ho_483 (ho_865 (ho_864 k_863 BOUND_VARIABLE_34074) BOUND_VARIABLE_34073) BOUND_VARIABLE_25074) BOUND_VARIABLE_25075))))) (let ((_let_1183 (forall ((BOUND_VARIABLE_34100 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (BOUND_VARIABLE_25046 tptp.produc62062515n_game) (BOUND_VARIABLE_25047 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_462 k_562 BOUND_VARIABLE_34100) BOUND_VARIABLE_25047)) BOUND_VARIABLE_25046) (ho_385 (ho_483 (ho_765 k_866 BOUND_VARIABLE_34100) BOUND_VARIABLE_25046) BOUND_VARIABLE_25047))))) (let ((_let_1184 (forall ((BOUND_VARIABLE_34116 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_fml)|) (BOUND_VARIABLE_34115 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (BOUND_VARIABLE_25014 tptp.produc62062515n_game) (BOUND_VARIABLE_25015 tptp.char)) (= (ho_469 (ho_639 k_638 (ho_443 (ho_565 (ho_564 k_563 BOUND_VARIABLE_34116) BOUND_VARIABLE_34115) BOUND_VARIABLE_25015)) BOUND_VARIABLE_25014) (ho_384 (ho_470 (ho_869 (ho_868 k_867 BOUND_VARIABLE_34116) BOUND_VARIABLE_34115) BOUND_VARIABLE_25014) BOUND_VARIABLE_25015))))) (let ((_let_1185 (forall ((BOUND_VARIABLE_34142 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (BOUND_VARIABLE_24985 tptp.produc62062515n_game) (BOUND_VARIABLE_24986 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_462 k_566 BOUND_VARIABLE_34142) BOUND_VARIABLE_24986)) BOUND_VARIABLE_24985) (ho_385 (ho_483 (ho_765 k_870 BOUND_VARIABLE_34142) BOUND_VARIABLE_24985) BOUND_VARIABLE_24986))))) (let ((_let_1186 (forall ((BOUND_VARIABLE_34158 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.char tptp.option_trm)|) (BOUND_VARIABLE_34157 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc799602994n_game tptp.char tptp.option_trm)|) (BOUND_VARIABLE_24953 tptp.produc62062515n_game) (BOUND_VARIABLE_24954 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_462 (ho_568 k_567 BOUND_VARIABLE_34158) BOUND_VARIABLE_34157) BOUND_VARIABLE_24954)) BOUND_VARIABLE_24953) (ho_385 (ho_483 (ho_765 (ho_872 k_871 BOUND_VARIABLE_34158) BOUND_VARIABLE_34157) BOUND_VARIABLE_24953) BOUND_VARIABLE_24954))))) (let ((_let_1187 (forall ((BOUND_VARIABLE_34180 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_24924 tptp.produc1418842292n_game) (BOUND_VARIABLE_24925 tptp.char)) (= (ho_768 (ho_767 k_766 (ho_467 (ho_466 k_569 BOUND_VARIABLE_34180) BOUND_VARIABLE_24925)) BOUND_VARIABLE_24924) (ho_384 (ho_486 (ho_770 k_873 BOUND_VARIABLE_34180) BOUND_VARIABLE_24924) BOUND_VARIABLE_24925))))) (let ((_let_1188 (forall ((BOUND_VARIABLE_34196 |u_(-> _u_(-> tptp.char tptp.option_fml)_ tptp.char tptp.option_fml)|) (BOUND_VARIABLE_34195 |u_(-> _u_(-> tptp.char tptp.option_trm)_ tptp.produc62062515n_game tptp.char tptp.option_fml)|) (BOUND_VARIABLE_24892 tptp.produc1418842292n_game) (BOUND_VARIABLE_24893 tptp.char)) (= (ho_768 (ho_767 k_766 (ho_467 (ho_466 (ho_571 k_570 BOUND_VARIABLE_34196) BOUND_VARIABLE_34195) BOUND_VARIABLE_24893)) BOUND_VARIABLE_24892) (ho_384 (ho_486 (ho_770 (ho_875 k_874 BOUND_VARIABLE_34196) BOUND_VARIABLE_34195) BOUND_VARIABLE_24892) BOUND_VARIABLE_24893))))) (let ((_let_1189 (forall ((BOUND_VARIABLE_24879 tptp.set_variable) (BOUND_VARIABLE_24880 tptp.set_variable) (BOUND_VARIABLE_24881 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_24881))) (= (ho_526 (ho_525 (ho_524 k_876 BOUND_VARIABLE_24879) BOUND_VARIABLE_24880) BOUND_VARIABLE_24881) (and (ho_529 _let_1 BOUND_VARIABLE_24879) (ho_529 _let_1 BOUND_VARIABLE_24880))))))) (let ((_let_1190 (forall ((BOUND_VARIABLE_24869 tptp.set_variable) (BOUND_VARIABLE_24870 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_24870))) (= (ho_526 (ho_525 k_877 BOUND_VARIABLE_24869) BOUND_VARIABLE_24870) (and (ho_529 _let_1 BOUND_VARIABLE_24869) (ho_529 _let_1 (ho_834 k_833 k_832)))))))) (let ((_let_1191 (forall ((BOUND_VARIABLE_24859 tptp.set_variable) (BOUND_VARIABLE_24860 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_24860))) (= (ho_526 (ho_525 k_878 BOUND_VARIABLE_24859) BOUND_VARIABLE_24860) (and (ho_529 _let_1 (ho_834 k_833 k_832)) (ho_529 _let_1 BOUND_VARIABLE_24859))))))) (let ((_let_1192 (forall ((BOUND_VARIABLE_24848 tptp.set_variable) (BOUND_VARIABLE_24849 tptp.set_variable) (BOUND_VARIABLE_24850 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_24850))) (= (ho_526 (ho_525 (ho_524 k_879 BOUND_VARIABLE_24848) BOUND_VARIABLE_24849) BOUND_VARIABLE_24850) (and (ho_529 _let_1 BOUND_VARIABLE_24848) (ho_529 _let_1 BOUND_VARIABLE_24849))))))) (let ((_let_1193 (forall ((BOUND_VARIABLE_24837 tptp.set_char) (BOUND_VARIABLE_24838 tptp.set_char) (BOUND_VARIABLE_24839 tptp.char)) (let ((_let_1 (ho_535 k_534 BOUND_VARIABLE_24839))) (= (ho_533 (ho_532 (ho_531 k_880 BOUND_VARIABLE_24837) BOUND_VARIABLE_24838) BOUND_VARIABLE_24839) (and (ho_536 _let_1 BOUND_VARIABLE_24837) (ho_536 _let_1 BOUND_VARIABLE_24838))))))) (let ((_let_1194 (forall ((BOUND_VARIABLE_24826 tptp.set_variable) (BOUND_VARIABLE_24827 tptp.set_variable) (BOUND_VARIABLE_24828 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_24828))) (= (ho_526 (ho_525 (ho_524 k_881 BOUND_VARIABLE_24826) BOUND_VARIABLE_24827) BOUND_VARIABLE_24828) (and (ho_529 _let_1 BOUND_VARIABLE_24826) (ho_529 _let_1 BOUND_VARIABLE_24827))))))) (let ((_let_1195 (forall ((BOUND_VARIABLE_24815 tptp.set_char) (BOUND_VARIABLE_24816 tptp.set_char) (BOUND_VARIABLE_24817 tptp.char)) (let ((_let_1 (ho_535 k_534 BOUND_VARIABLE_24817))) (= (ho_533 (ho_532 (ho_531 k_882 BOUND_VARIABLE_24815) BOUND_VARIABLE_24816) BOUND_VARIABLE_24817) (and (ho_536 _let_1 BOUND_VARIABLE_24815) (ho_536 _let_1 BOUND_VARIABLE_24816))))))) (let ((_let_1196 (forall ((BOUND_VARIABLE_24785 tptp.set_variable) (BOUND_VARIABLE_24786 tptp.set_variable)) (= (ho_834 k_833 (ho_885 (ho_884 k_883 (ho_525 k_572 BOUND_VARIABLE_24785)) (ho_525 k_573 BOUND_VARIABLE_24786))) (ho_888 (ho_887 k_886 BOUND_VARIABLE_24785) BOUND_VARIABLE_24786))))) (let ((_let_1197 (forall ((BOUND_VARIABLE_24761 tptp.set_char) (BOUND_VARIABLE_24762 tptp.set_char)) (= (ho_838 k_837 (ho_532 (ho_531 k_574 BOUND_VARIABLE_24761) BOUND_VARIABLE_24762)) (ho_891 (ho_890 k_889 BOUND_VARIABLE_24761) BOUND_VARIABLE_24762))))) (let ((_let_1198 (forall ((BOUND_VARIABLE_24731 tptp.set_char) (BOUND_VARIABLE_24732 tptp.set_char)) (= (ho_838 k_837 (ho_894 (ho_893 k_892 (ho_532 k_575 BOUND_VARIABLE_24731)) (ho_532 k_576 BOUND_VARIABLE_24732))) (ho_891 (ho_890 k_895 BOUND_VARIABLE_24731) BOUND_VARIABLE_24732))))) (let ((_let_1199 (forall ((BOUND_VARIABLE_24719 tptp.set_variable) (BOUND_VARIABLE_34370 |u_(-> tptp.variable Bool)|) (BOUND_VARIABLE_24721 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_24721))) (= (ho_526 (ho_885 (ho_897 k_896 BOUND_VARIABLE_24719) BOUND_VARIABLE_34370) BOUND_VARIABLE_24721) (and (ho_529 _let_1 BOUND_VARIABLE_24719) (ho_529 _let_1 (ho_834 k_833 BOUND_VARIABLE_34370)))))))) (let ((_let_1200 (forall ((BOUND_VARIABLE_24707 tptp.set_char) (BOUND_VARIABLE_34390 |u_(-> tptp.char Bool)|) (BOUND_VARIABLE_24709 tptp.char)) (let ((_let_1 (ho_535 k_534 BOUND_VARIABLE_24709))) (= (ho_533 (ho_894 (ho_899 k_898 BOUND_VARIABLE_24707) BOUND_VARIABLE_34390) BOUND_VARIABLE_24709) (and (ho_536 _let_1 BOUND_VARIABLE_24707) (ho_536 _let_1 (ho_838 k_837 BOUND_VARIABLE_34390)))))))) (let ((_let_1201 (forall ((BOUND_VARIABLE_34411 |u_(-> tptp.variable Bool)|) (BOUND_VARIABLE_34410 |u_(-> tptp.variable Bool)|) (BOUND_VARIABLE_24699 tptp.variable)) (= (ho_526 (ho_885 (ho_884 k_900 BOUND_VARIABLE_34411) BOUND_VARIABLE_34410) BOUND_VARIABLE_24699) (and (ho_526 BOUND_VARIABLE_34411 BOUND_VARIABLE_24699) (ho_526 BOUND_VARIABLE_34410 BOUND_VARIABLE_24699)))))) (let ((_let_1202 (forall ((BOUND_VARIABLE_34426 |u_(-> tptp.variable Bool)|) (BOUND_VARIABLE_34425 |u_(-> tptp.variable Bool)|) (BOUND_VARIABLE_24686 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_24686))) (= (ho_526 (ho_885 (ho_884 k_901 BOUND_VARIABLE_34426) BOUND_VARIABLE_34425) BOUND_VARIABLE_24686) (and (ho_529 _let_1 (ho_834 k_833 BOUND_VARIABLE_34426)) (ho_529 _let_1 (ho_834 k_833 BOUND_VARIABLE_34425)))))))) (let ((_let_1203 (forall ((BOUND_VARIABLE_34444 |u_(-> tptp.char Bool)|) (BOUND_VARIABLE_34443 |u_(-> tptp.char Bool)|) (BOUND_VARIABLE_24676 tptp.char)) (= (ho_533 (ho_894 (ho_893 k_902 BOUND_VARIABLE_34444) BOUND_VARIABLE_34443) BOUND_VARIABLE_24676) (and (ho_533 BOUND_VARIABLE_34444 BOUND_VARIABLE_24676) (ho_533 BOUND_VARIABLE_34443 BOUND_VARIABLE_24676)))))) (let ((_let_1204 (forall ((BOUND_VARIABLE_34459 |u_(-> tptp.char Bool)|) (BOUND_VARIABLE_34458 |u_(-> tptp.char Bool)|) (BOUND_VARIABLE_24663 tptp.char)) (let ((_let_1 (ho_535 k_534 BOUND_VARIABLE_24663))) (= (ho_533 (ho_894 (ho_893 k_903 BOUND_VARIABLE_34459) BOUND_VARIABLE_34458) BOUND_VARIABLE_24663) (and (ho_536 _let_1 (ho_838 k_837 BOUND_VARIABLE_34459)) (ho_536 _let_1 (ho_838 k_837 BOUND_VARIABLE_34458)))))))) (let ((_let_1205 (forall ((BOUND_VARIABLE_24656 tptp.variable)) (not (ho_526 k_904 BOUND_VARIABLE_24656))))) (let ((_let_1206 (forall ((BOUND_VARIABLE_24651 tptp.char)) (not (ho_533 k_905 BOUND_VARIABLE_24651))))) (let ((_let_1207 (forall ((BOUND_VARIABLE_24619 tptp.set_variable) (BOUND_VARIABLE_24620 tptp.set_variable) (BOUND_VARIABLE_24621 tptp.set_variable) (BOUND_VARIABLE_24622 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_24622))) (= (and (ho_529 _let_1 BOUND_VARIABLE_24619) (ho_529 _let_1 (ho_834 k_833 (ho_525 (ho_524 k_577 BOUND_VARIABLE_24620) BOUND_VARIABLE_24621)))) (ho_526 (ho_525 (ho_524 (ho_907 k_906 BOUND_VARIABLE_24619) BOUND_VARIABLE_24620) BOUND_VARIABLE_24621) BOUND_VARIABLE_24622)))))) (let ((_let_1208 (forall ((BOUND_VARIABLE_24587 tptp.set_variable) (BOUND_VARIABLE_24588 tptp.set_variable) (BOUND_VARIABLE_24589 tptp.set_variable) (BOUND_VARIABLE_24590 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_24590))) (= (and (ho_529 _let_1 BOUND_VARIABLE_24587) (ho_529 _let_1 (ho_834 k_833 (ho_525 (ho_524 k_578 BOUND_VARIABLE_24588) BOUND_VARIABLE_24589)))) (ho_526 (ho_525 (ho_524 (ho_907 k_908 BOUND_VARIABLE_24587) BOUND_VARIABLE_24588) BOUND_VARIABLE_24589) BOUND_VARIABLE_24590)))))) (let ((_let_1209 (forall ((BOUND_VARIABLE_24576 tptp.set_variable) (BOUND_VARIABLE_24577 tptp.set_variable) (BOUND_VARIABLE_24578 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_24578))) (= (ho_526 (ho_525 (ho_524 k_909 BOUND_VARIABLE_24576) BOUND_VARIABLE_24577) BOUND_VARIABLE_24578) (and (ho_529 _let_1 BOUND_VARIABLE_24576) (ho_529 _let_1 BOUND_VARIABLE_24577))))))) (let ((_let_1210 (forall ((BOUND_VARIABLE_24545 tptp.set_variable) (BOUND_VARIABLE_24546 tptp.set_variable) (BOUND_VARIABLE_24547 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_24547))) (= (and (ho_529 _let_1 BOUND_VARIABLE_24545) (ho_529 _let_1 (ho_834 k_833 (ho_525 (ho_524 k_579 BOUND_VARIABLE_24545) BOUND_VARIABLE_24546)))) (ho_526 (ho_525 (ho_524 k_910 BOUND_VARIABLE_24545) BOUND_VARIABLE_24546) BOUND_VARIABLE_24547)))))) (let ((_let_1211 (forall ((BOUND_VARIABLE_24521 tptp.set_variable) (BOUND_VARIABLE_24522 tptp.set_variable)) (= (ho_834 k_833 (ho_525 (ho_524 k_580 BOUND_VARIABLE_24522) BOUND_VARIABLE_24521)) (ho_888 (ho_887 k_911 BOUND_VARIABLE_24521) BOUND_VARIABLE_24522))))) (let ((_let_1212 (forall ((BOUND_VARIABLE_24513 tptp.set_variable) (BOUND_VARIABLE_24514 tptp.variable)) (= (ho_526 (ho_525 k_912 BOUND_VARIABLE_24513) BOUND_VARIABLE_24514) (ho_529 (ho_528 k_527 BOUND_VARIABLE_24514) BOUND_VARIABLE_24513))))) (let ((_let_1213 (forall ((BOUND_VARIABLE_24481 tptp.set_variable) (BOUND_VARIABLE_24482 tptp.set_variable) (BOUND_VARIABLE_24483 tptp.set_variable) (BOUND_VARIABLE_24484 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_24484))) (= (and (ho_529 _let_1 (ho_834 k_833 (ho_525 (ho_524 k_581 BOUND_VARIABLE_24481) BOUND_VARIABLE_24482))) (ho_529 _let_1 BOUND_VARIABLE_24483)) (ho_526 (ho_525 (ho_524 (ho_907 k_913 BOUND_VARIABLE_24481) BOUND_VARIABLE_24482) BOUND_VARIABLE_24483) BOUND_VARIABLE_24484)))))) (let ((_let_1214 (forall ((BOUND_VARIABLE_24449 tptp.set_variable) (BOUND_VARIABLE_24450 tptp.set_variable) (BOUND_VARIABLE_24451 tptp.set_variable) (BOUND_VARIABLE_24452 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_24452))) (= (and (ho_529 _let_1 BOUND_VARIABLE_24449) (ho_529 _let_1 (ho_834 k_833 (ho_525 (ho_524 k_582 BOUND_VARIABLE_24450) BOUND_VARIABLE_24451)))) (ho_526 (ho_525 (ho_524 (ho_907 k_914 BOUND_VARIABLE_24449) BOUND_VARIABLE_24450) BOUND_VARIABLE_24451) BOUND_VARIABLE_24452)))))) (let ((_let_1215 (forall ((BOUND_VARIABLE_24438 tptp.set_variable) (BOUND_VARIABLE_24439 tptp.set_variable) (BOUND_VARIABLE_24440 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_24440))) (= (ho_526 (ho_525 (ho_524 k_915 BOUND_VARIABLE_24438) BOUND_VARIABLE_24439) BOUND_VARIABLE_24440) (and (ho_529 _let_1 BOUND_VARIABLE_24438) (ho_529 _let_1 BOUND_VARIABLE_24439))))))) (let ((_let_1216 (forall ((BOUND_VARIABLE_24427 tptp.set_char) (BOUND_VARIABLE_24428 tptp.set_char) (BOUND_VARIABLE_24429 tptp.char)) (let ((_let_1 (ho_535 k_534 BOUND_VARIABLE_24429))) (= (ho_533 (ho_532 (ho_531 k_916 BOUND_VARIABLE_24427) BOUND_VARIABLE_24428) BOUND_VARIABLE_24429) (and (ho_536 _let_1 BOUND_VARIABLE_24427) (ho_536 _let_1 BOUND_VARIABLE_24428))))))) (let ((_let_1217 (forall ((BOUND_VARIABLE_24416 tptp.set_variable) (BOUND_VARIABLE_24417 tptp.set_variable) (BOUND_VARIABLE_24418 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_24418))) (= (ho_526 (ho_525 (ho_524 k_917 BOUND_VARIABLE_24416) BOUND_VARIABLE_24417) BOUND_VARIABLE_24418) (and (ho_529 _let_1 BOUND_VARIABLE_24416) (ho_529 _let_1 BOUND_VARIABLE_24417))))))) (let ((_let_1218 (forall ((BOUND_VARIABLE_24405 tptp.set_char) (BOUND_VARIABLE_24406 tptp.set_char) (BOUND_VARIABLE_24407 tptp.char)) (let ((_let_1 (ho_535 k_534 BOUND_VARIABLE_24407))) (= (ho_533 (ho_532 (ho_531 k_918 BOUND_VARIABLE_24405) BOUND_VARIABLE_24406) BOUND_VARIABLE_24407) (and (ho_536 _let_1 BOUND_VARIABLE_24405) (ho_536 _let_1 BOUND_VARIABLE_24406))))))) (let ((_let_1219 (forall ((BOUND_VARIABLE_24394 tptp.set_variable) (BOUND_VARIABLE_24395 tptp.set_variable) (BOUND_VARIABLE_24396 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_24396))) (= (ho_526 (ho_525 (ho_524 k_919 BOUND_VARIABLE_24394) BOUND_VARIABLE_24395) BOUND_VARIABLE_24396) (and (ho_529 _let_1 BOUND_VARIABLE_24394) (ho_529 _let_1 BOUND_VARIABLE_24395))))))) (let ((_let_1220 (forall ((BOUND_VARIABLE_24383 tptp.set_char) (BOUND_VARIABLE_24384 tptp.set_char) (BOUND_VARIABLE_24385 tptp.char)) (let ((_let_1 (ho_535 k_534 BOUND_VARIABLE_24385))) (= (ho_533 (ho_532 (ho_531 k_920 BOUND_VARIABLE_24383) BOUND_VARIABLE_24384) BOUND_VARIABLE_24385) (and (ho_536 _let_1 BOUND_VARIABLE_24383) (ho_536 _let_1 BOUND_VARIABLE_24384))))))) (let ((_let_1221 (forall ((BOUND_VARIABLE_24372 tptp.set_variable) (BOUND_VARIABLE_24373 tptp.set_variable) (BOUND_VARIABLE_24374 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_24374))) (= (ho_526 (ho_525 (ho_524 k_921 BOUND_VARIABLE_24372) BOUND_VARIABLE_24373) BOUND_VARIABLE_24374) (and (ho_529 _let_1 BOUND_VARIABLE_24372) (ho_529 _let_1 BOUND_VARIABLE_24373))))))) (let ((_let_1222 (forall ((BOUND_VARIABLE_24361 tptp.set_char) (BOUND_VARIABLE_24362 tptp.set_char) (BOUND_VARIABLE_24363 tptp.char)) (let ((_let_1 (ho_535 k_534 BOUND_VARIABLE_24363))) (= (ho_533 (ho_532 (ho_531 k_922 BOUND_VARIABLE_24361) BOUND_VARIABLE_24362) BOUND_VARIABLE_24363) (and (ho_536 _let_1 BOUND_VARIABLE_24361) (ho_536 _let_1 BOUND_VARIABLE_24362))))))) (let ((_let_1223 (forall ((BOUND_VARIABLE_24350 tptp.set_variable) (BOUND_VARIABLE_24351 tptp.set_variable) (BOUND_VARIABLE_24352 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_24352))) (= (ho_526 (ho_525 (ho_524 k_923 BOUND_VARIABLE_24350) BOUND_VARIABLE_24351) BOUND_VARIABLE_24352) (and (ho_529 _let_1 BOUND_VARIABLE_24350) (ho_529 _let_1 BOUND_VARIABLE_24351))))))) (let ((_let_1224 (forall ((BOUND_VARIABLE_24339 tptp.set_char) (BOUND_VARIABLE_24340 tptp.set_char) (BOUND_VARIABLE_24341 tptp.char)) (let ((_let_1 (ho_535 k_534 BOUND_VARIABLE_24341))) (= (ho_533 (ho_532 (ho_531 k_924 BOUND_VARIABLE_24339) BOUND_VARIABLE_24340) BOUND_VARIABLE_24341) (and (ho_536 _let_1 BOUND_VARIABLE_24339) (ho_536 _let_1 BOUND_VARIABLE_24340))))))) (let ((_let_1225 (forall ((BOUND_VARIABLE_24315 tptp.produc1418842292n_game) (BOUND_VARIABLE_24316 tptp.char) (BOUND_VARIABLE_24317 tptp.set_variable) (BOUND_VARIABLE_24318 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_24318))) (= (and (ho_529 _let_1 (ho_668 k_667 (ho_675 k_674 (ho_385 (ho_673 (ho_672 k_671 k_925) BOUND_VARIABLE_24315) BOUND_VARIABLE_24316)))) (ho_529 _let_1 BOUND_VARIABLE_24317)) (ho_526 (ho_525 (ho_678 (ho_677 k_926 BOUND_VARIABLE_24315) BOUND_VARIABLE_24316) BOUND_VARIABLE_24317) BOUND_VARIABLE_24318)))))) (let ((_let_1226 (forall ((BOUND_VARIABLE_24298 tptp.produc1418842292n_game) (BOUND_VARIABLE_24299 tptp.set_variable) (BOUND_VARIABLE_24300 tptp.trm) (BOUND_VARIABLE_24301 tptp.char)) (= (ho_385 (ho_663 (ho_684 (ho_683 k_927 BOUND_VARIABLE_24298) BOUND_VARIABLE_24299) BOUND_VARIABLE_24300) BOUND_VARIABLE_24301) (ho_661 (ho_660 (ho_659 k_658 (= BOUND_VARIABLE_24301 (ho_657 (ho_656 (ho_655 (ho_654 (ho_653 (ho_652 (ho_651 (ho_650 k_649 false) true) true) true) false) true) false) false))) (ho_648 k_647 (ho_675 k_674 (ho_648 (ho_681 (ho_680 k_679 BOUND_VARIABLE_24298) BOUND_VARIABLE_24299) BOUND_VARIABLE_24300)))) tptp.none_trm))))) (let ((_let_1227 (forall ((BOUND_VARIABLE_34783 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_24272 tptp.produc62062515n_game) (BOUND_VARIABLE_24273 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 k_583 BOUND_VARIABLE_24273)) BOUND_VARIABLE_24272) (ho_385 (ho_483 (ho_624 k_925 BOUND_VARIABLE_34783) BOUND_VARIABLE_24272) BOUND_VARIABLE_24273))))) (let ((_let_1228 (forall ((BOUND_VARIABLE_34796 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_24245 tptp.produc62062515n_game) (BOUND_VARIABLE_24246 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 k_584 BOUND_VARIABLE_24246)) BOUND_VARIABLE_24245) (ho_385 (ho_483 (ho_624 k_928 BOUND_VARIABLE_34796) BOUND_VARIABLE_24245) BOUND_VARIABLE_24246))))) (let ((_let_1229 (forall ((BOUND_VARIABLE_24232 tptp.trm) (BOUND_VARIABLE_24233 tptp.set_variable) (BOUND_VARIABLE_24234 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_24234))) (= (ho_526 (ho_525 (ho_666 k_929 BOUND_VARIABLE_24232) BOUND_VARIABLE_24233) BOUND_VARIABLE_24234) (and (ho_529 _let_1 (ho_668 k_667 BOUND_VARIABLE_24232)) (ho_529 _let_1 BOUND_VARIABLE_24233))))))) (let ((_let_1230 (forall ((BOUND_VARIABLE_24221 tptp.trm) (BOUND_VARIABLE_24222 tptp.char)) (= (ho_385 (ho_663 k_930 BOUND_VARIABLE_24221) BOUND_VARIABLE_24222) (ho_661 (ho_660 (ho_659 k_658 (= BOUND_VARIABLE_24222 (ho_657 (ho_656 (ho_655 (ho_654 (ho_653 (ho_652 (ho_651 (ho_650 k_649 false) true) true) true) false) true) false) false))) (ho_648 k_647 BOUND_VARIABLE_24221)) tptp.none_trm))))) (let ((_let_1231 (forall ((BOUND_VARIABLE_24216 tptp.char)) (= tptp.none_trm (ho_385 k_931 BOUND_VARIABLE_24216))))) (let ((_let_1232 (forall ((BOUND_VARIABLE_24211 tptp.char)) (= tptp.none_fml (ho_384 k_932 BOUND_VARIABLE_24211))))) (let ((_let_1233 (forall ((BOUND_VARIABLE_24206 tptp.char)) (= tptp.none_game (ho_383 k_933 BOUND_VARIABLE_24206))))) (let ((_let_1234 (forall ((BOUND_VARIABLE_34847 |u_(-> tptp.option_game Bool)|)) (= (ho_936 k_935 BOUND_VARIABLE_34847) (forall ((X5 tptp.option_game)) (ho_934 BOUND_VARIABLE_34847 X5)))))) (let ((_let_1235 (forall ((BOUND_VARIABLE_34862 |u_(-> tptp.option_game Bool)|)) (= (ho_936 k_937 BOUND_VARIABLE_34862) (and (ho_934 BOUND_VARIABLE_34862 tptp.none_game) (forall ((X tptp.game)) (ho_934 BOUND_VARIABLE_34862 (ho_507 k_509 X)))))))) (let ((_let_1236 (forall ((BOUND_VARIABLE_34875 |u_(-> tptp.option_fml Bool)|)) (= (ho_940 k_939 BOUND_VARIABLE_34875) (forall ((X5 tptp.option_fml)) (ho_938 BOUND_VARIABLE_34875 X5)))))) (let ((_let_1237 (forall ((BOUND_VARIABLE_34890 |u_(-> tptp.option_fml Bool)|)) (= (ho_940 k_941 BOUND_VARIABLE_34890) (and (ho_938 BOUND_VARIABLE_34890 tptp.none_fml) (forall ((X tptp.fml)) (ho_938 BOUND_VARIABLE_34890 (ho_514 k_516 X)))))))) (let ((_let_1238 (forall ((BOUND_VARIABLE_34902 |u_(-> tptp.option_trm Bool)|)) (= (ho_943 k_942 BOUND_VARIABLE_34902) (forall ((X5 tptp.option_trm)) (ho_745 BOUND_VARIABLE_34902 X5)))))) (let ((_let_1239 (forall ((BOUND_VARIABLE_34915 |u_(-> tptp.option_trm Bool)|)) (= (ho_943 k_944 BOUND_VARIABLE_34915) (and (ho_745 BOUND_VARIABLE_34915 tptp.none_trm) (forall ((X tptp.trm)) (ho_745 BOUND_VARIABLE_34915 (ho_648 k_647 X)))))))) (let ((_let_1240 (forall ((BOUND_VARIABLE_34927 |u_(-> tptp.option_game Bool)|)) (= (ho_936 k_945 BOUND_VARIABLE_34927) (not (forall ((X5 tptp.option_game)) (not (ho_934 BOUND_VARIABLE_34927 X5)))))))) (let ((_let_1241 (forall ((BOUND_VARIABLE_34938 |u_(-> tptp.option_game Bool)|)) (= (ho_936 k_946 BOUND_VARIABLE_34938) (or (ho_934 BOUND_VARIABLE_34938 tptp.none_game) (not (forall ((X tptp.game)) (not (ho_934 BOUND_VARIABLE_34938 (ho_507 k_509 X)))))))))) (let ((_let_1242 (forall ((BOUND_VARIABLE_34952 |u_(-> tptp.option_fml Bool)|)) (= (ho_940 k_947 BOUND_VARIABLE_34952) (not (forall ((X5 tptp.option_fml)) (not (ho_938 BOUND_VARIABLE_34952 X5)))))))) (let ((_let_1243 (forall ((BOUND_VARIABLE_34963 |u_(-> tptp.option_fml Bool)|)) (= (ho_940 k_948 BOUND_VARIABLE_34963) (or (ho_938 BOUND_VARIABLE_34963 tptp.none_fml) (not (forall ((X tptp.fml)) (not (ho_938 BOUND_VARIABLE_34963 (ho_514 k_516 X)))))))))) (let ((_let_1244 (forall ((BOUND_VARIABLE_34977 |u_(-> tptp.option_trm Bool)|)) (= (ho_943 k_949 BOUND_VARIABLE_34977) (not (forall ((X5 tptp.option_trm)) (not (ho_745 BOUND_VARIABLE_34977 X5)))))))) (let ((_let_1245 (forall ((BOUND_VARIABLE_34988 |u_(-> tptp.option_trm Bool)|)) (= (ho_943 k_950 BOUND_VARIABLE_34988) (or (ho_745 BOUND_VARIABLE_34988 tptp.none_trm) (not (forall ((X tptp.trm)) (not (ho_745 BOUND_VARIABLE_34988 (ho_648 k_647 X)))))))))) (let ((_let_1246 (forall ((BOUND_VARIABLE_24087 tptp.set_variable) (BOUND_VARIABLE_24088 tptp.set_variable) (BOUND_VARIABLE_24089 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_24089))) (= (ho_526 (ho_525 (ho_524 k_951 BOUND_VARIABLE_24087) BOUND_VARIABLE_24088) BOUND_VARIABLE_24089) (and (ho_529 _let_1 BOUND_VARIABLE_24087) (ho_529 _let_1 BOUND_VARIABLE_24088))))))) (let ((_let_1247 (forall ((BOUND_VARIABLE_24056 tptp.set_variable) (BOUND_VARIABLE_24057 tptp.set_variable) (BOUND_VARIABLE_24058 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_24058))) (= (and (ho_529 _let_1 BOUND_VARIABLE_24056) (ho_529 _let_1 (ho_834 k_833 (ho_525 (ho_524 k_585 BOUND_VARIABLE_24056) BOUND_VARIABLE_24057)))) (ho_526 (ho_525 (ho_524 k_952 BOUND_VARIABLE_24056) BOUND_VARIABLE_24057) BOUND_VARIABLE_24058)))))) (let ((_let_1248 (forall ((BOUND_VARIABLE_24024 tptp.set_variable) (BOUND_VARIABLE_24025 tptp.set_variable) (BOUND_VARIABLE_24026 tptp.set_variable) (BOUND_VARIABLE_24027 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_24027))) (= (and (ho_529 _let_1 BOUND_VARIABLE_24024) (ho_529 _let_1 (ho_834 k_833 (ho_525 (ho_524 k_586 BOUND_VARIABLE_24025) BOUND_VARIABLE_24026)))) (ho_526 (ho_525 (ho_524 (ho_907 k_953 BOUND_VARIABLE_24024) BOUND_VARIABLE_24025) BOUND_VARIABLE_24026) BOUND_VARIABLE_24027)))))) (let ((_let_1249 (forall ((BOUND_VARIABLE_23992 tptp.set_variable) (BOUND_VARIABLE_23993 tptp.set_variable) (BOUND_VARIABLE_23994 tptp.set_variable) (BOUND_VARIABLE_23995 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23995))) (= (and (ho_529 _let_1 BOUND_VARIABLE_23992) (ho_529 _let_1 (ho_834 k_833 (ho_525 (ho_524 k_587 BOUND_VARIABLE_23993) BOUND_VARIABLE_23994)))) (ho_526 (ho_525 (ho_524 (ho_907 k_954 BOUND_VARIABLE_23992) BOUND_VARIABLE_23993) BOUND_VARIABLE_23994) BOUND_VARIABLE_23995)))))) (let ((_let_1250 (forall ((BOUND_VARIABLE_23960 tptp.set_variable) (BOUND_VARIABLE_23961 tptp.set_variable) (BOUND_VARIABLE_23962 tptp.set_variable) (BOUND_VARIABLE_23963 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23963))) (= (and (ho_529 _let_1 (ho_834 k_833 (ho_525 (ho_524 k_588 BOUND_VARIABLE_23960) BOUND_VARIABLE_23961))) (ho_529 _let_1 BOUND_VARIABLE_23962)) (ho_526 (ho_525 (ho_524 (ho_907 k_955 BOUND_VARIABLE_23960) BOUND_VARIABLE_23961) BOUND_VARIABLE_23962) BOUND_VARIABLE_23963)))))) (let ((_let_1251 (forall ((BOUND_VARIABLE_23928 tptp.set_variable) (BOUND_VARIABLE_23929 tptp.set_variable) (BOUND_VARIABLE_23930 tptp.set_variable) (BOUND_VARIABLE_23931 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23931))) (= (and (ho_529 _let_1 BOUND_VARIABLE_23928) (ho_529 _let_1 (ho_834 k_833 (ho_525 (ho_524 k_589 BOUND_VARIABLE_23929) BOUND_VARIABLE_23930)))) (ho_526 (ho_525 (ho_524 (ho_907 k_956 BOUND_VARIABLE_23928) BOUND_VARIABLE_23929) BOUND_VARIABLE_23930) BOUND_VARIABLE_23931)))))) (let ((_let_1252 (forall ((BOUND_VARIABLE_23904 tptp.set_variable) (BOUND_VARIABLE_23905 tptp.set_variable)) (= (ho_834 k_833 (ho_525 (ho_524 k_590 BOUND_VARIABLE_23905) BOUND_VARIABLE_23904)) (ho_888 (ho_887 k_957 BOUND_VARIABLE_23904) BOUND_VARIABLE_23905))))) (let ((_let_1253 (forall ((BOUND_VARIABLE_23872 tptp.set_variable) (BOUND_VARIABLE_23873 tptp.set_variable) (BOUND_VARIABLE_23874 tptp.set_variable) (BOUND_VARIABLE_23875 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23875))) (= (and (ho_529 _let_1 BOUND_VARIABLE_23872) (ho_529 _let_1 (ho_834 k_833 (ho_525 (ho_524 k_591 BOUND_VARIABLE_23873) BOUND_VARIABLE_23874)))) (ho_526 (ho_525 (ho_524 (ho_907 k_958 BOUND_VARIABLE_23872) BOUND_VARIABLE_23873) BOUND_VARIABLE_23874) BOUND_VARIABLE_23875)))))) (let ((_let_1254 (forall ((BOUND_VARIABLE_23840 tptp.set_variable) (BOUND_VARIABLE_23841 tptp.set_variable) (BOUND_VARIABLE_23842 tptp.set_variable) (BOUND_VARIABLE_23843 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23843))) (= (and (ho_529 _let_1 (ho_834 k_833 (ho_525 (ho_524 k_592 BOUND_VARIABLE_23840) BOUND_VARIABLE_23841))) (ho_529 _let_1 BOUND_VARIABLE_23842)) (ho_526 (ho_525 (ho_524 (ho_907 k_959 BOUND_VARIABLE_23840) BOUND_VARIABLE_23841) BOUND_VARIABLE_23842) BOUND_VARIABLE_23843)))))) (let ((_let_1255 (forall ((BOUND_VARIABLE_23808 tptp.set_variable) (BOUND_VARIABLE_23809 tptp.set_variable) (BOUND_VARIABLE_23810 tptp.set_variable) (BOUND_VARIABLE_23811 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23811))) (= (and (ho_529 _let_1 BOUND_VARIABLE_23808) (ho_529 _let_1 (ho_834 k_833 (ho_525 (ho_524 k_593 BOUND_VARIABLE_23809) BOUND_VARIABLE_23810)))) (ho_526 (ho_525 (ho_524 (ho_907 k_960 BOUND_VARIABLE_23808) BOUND_VARIABLE_23809) BOUND_VARIABLE_23810) BOUND_VARIABLE_23811)))))) (let ((_let_1256 (forall ((BOUND_VARIABLE_23776 tptp.set_variable) (BOUND_VARIABLE_23777 tptp.set_variable) (BOUND_VARIABLE_23778 tptp.set_variable) (BOUND_VARIABLE_23779 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23779))) (= (and (ho_529 _let_1 BOUND_VARIABLE_23776) (ho_529 _let_1 (ho_834 k_833 (ho_525 (ho_524 k_594 BOUND_VARIABLE_23777) BOUND_VARIABLE_23778)))) (ho_526 (ho_525 (ho_524 (ho_907 k_961 BOUND_VARIABLE_23776) BOUND_VARIABLE_23777) BOUND_VARIABLE_23778) BOUND_VARIABLE_23779)))))) (let ((_let_1257 (forall ((BOUND_VARIABLE_23744 tptp.set_variable) (BOUND_VARIABLE_23745 tptp.set_variable) (BOUND_VARIABLE_23746 tptp.set_variable) (BOUND_VARIABLE_23747 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23747))) (= (and (ho_529 _let_1 (ho_834 k_833 (ho_525 (ho_524 k_595 BOUND_VARIABLE_23744) BOUND_VARIABLE_23745))) (ho_529 _let_1 BOUND_VARIABLE_23746)) (ho_526 (ho_525 (ho_524 (ho_907 k_962 BOUND_VARIABLE_23744) BOUND_VARIABLE_23745) BOUND_VARIABLE_23746) BOUND_VARIABLE_23747)))))) (let ((_let_1258 (forall ((BOUND_VARIABLE_23712 tptp.set_variable) (BOUND_VARIABLE_23713 tptp.set_variable) (BOUND_VARIABLE_23714 tptp.set_variable) (BOUND_VARIABLE_23715 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23715))) (= (and (ho_529 _let_1 BOUND_VARIABLE_23712) (ho_529 _let_1 (ho_834 k_833 (ho_525 (ho_524 k_596 BOUND_VARIABLE_23713) BOUND_VARIABLE_23714)))) (ho_526 (ho_525 (ho_524 (ho_907 k_963 BOUND_VARIABLE_23712) BOUND_VARIABLE_23713) BOUND_VARIABLE_23714) BOUND_VARIABLE_23715)))))) (let ((_let_1259 (forall ((BOUND_VARIABLE_23680 tptp.set_variable) (BOUND_VARIABLE_23681 tptp.set_variable) (BOUND_VARIABLE_23682 tptp.set_variable) (BOUND_VARIABLE_23683 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23683))) (= (and (ho_529 _let_1 (ho_834 k_833 (ho_525 (ho_524 k_597 BOUND_VARIABLE_23680) BOUND_VARIABLE_23681))) (ho_529 _let_1 BOUND_VARIABLE_23682)) (ho_526 (ho_525 (ho_524 (ho_907 k_964 BOUND_VARIABLE_23680) BOUND_VARIABLE_23681) BOUND_VARIABLE_23682) BOUND_VARIABLE_23683)))))) (let ((_let_1260 (forall ((BOUND_VARIABLE_23648 tptp.set_variable) (BOUND_VARIABLE_23649 tptp.set_variable) (BOUND_VARIABLE_23650 tptp.set_variable) (BOUND_VARIABLE_23651 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23651))) (= (and (ho_529 _let_1 BOUND_VARIABLE_23648) (ho_529 _let_1 (ho_834 k_833 (ho_525 (ho_524 k_598 BOUND_VARIABLE_23649) BOUND_VARIABLE_23650)))) (ho_526 (ho_525 (ho_524 (ho_907 k_965 BOUND_VARIABLE_23648) BOUND_VARIABLE_23649) BOUND_VARIABLE_23650) BOUND_VARIABLE_23651)))))) (let ((_let_1261 (forall ((BOUND_VARIABLE_23624 tptp.set_variable) (BOUND_VARIABLE_23625 tptp.set_variable)) (= (ho_834 k_833 (ho_525 (ho_524 k_599 BOUND_VARIABLE_23625) BOUND_VARIABLE_23624)) (ho_888 (ho_887 k_966 BOUND_VARIABLE_23624) BOUND_VARIABLE_23625))))) (let ((_let_1262 (forall ((BOUND_VARIABLE_23600 tptp.set_variable) (BOUND_VARIABLE_23601 tptp.set_variable)) (= (ho_834 k_833 (ho_525 (ho_524 k_600 BOUND_VARIABLE_23600) BOUND_VARIABLE_23601)) (ho_888 (ho_887 k_967 BOUND_VARIABLE_23600) BOUND_VARIABLE_23601))))) (let ((_let_1263 (forall ((BOUND_VARIABLE_23576 tptp.set_variable) (BOUND_VARIABLE_23577 tptp.set_variable)) (= (ho_834 k_833 (ho_525 (ho_524 k_601 BOUND_VARIABLE_23577) BOUND_VARIABLE_23576)) (ho_888 (ho_887 k_968 BOUND_VARIABLE_23576) BOUND_VARIABLE_23577))))) (let ((_let_1264 (forall ((BOUND_VARIABLE_23544 tptp.set_variable) (BOUND_VARIABLE_23545 tptp.set_variable) (BOUND_VARIABLE_23546 tptp.set_variable) (BOUND_VARIABLE_23547 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23547))) (= (and (ho_529 _let_1 BOUND_VARIABLE_23544) (ho_529 _let_1 (ho_834 k_833 (ho_525 (ho_524 k_602 BOUND_VARIABLE_23545) BOUND_VARIABLE_23546)))) (ho_526 (ho_525 (ho_524 (ho_907 k_969 BOUND_VARIABLE_23544) BOUND_VARIABLE_23545) BOUND_VARIABLE_23546) BOUND_VARIABLE_23547)))))) (let ((_let_1265 (forall ((BOUND_VARIABLE_23512 tptp.set_variable) (BOUND_VARIABLE_23513 tptp.set_variable) (BOUND_VARIABLE_23514 tptp.set_variable) (BOUND_VARIABLE_23515 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23515))) (= (and (ho_529 _let_1 BOUND_VARIABLE_23512) (ho_529 _let_1 (ho_834 k_833 (ho_525 (ho_524 k_603 BOUND_VARIABLE_23513) BOUND_VARIABLE_23514)))) (ho_526 (ho_525 (ho_524 (ho_907 k_970 BOUND_VARIABLE_23512) BOUND_VARIABLE_23513) BOUND_VARIABLE_23514) BOUND_VARIABLE_23515)))))) (let ((_let_1266 (forall ((BOUND_VARIABLE_23480 tptp.set_variable) (BOUND_VARIABLE_23481 tptp.set_variable) (BOUND_VARIABLE_23482 tptp.set_variable) (BOUND_VARIABLE_23483 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23483))) (= (and (ho_529 _let_1 BOUND_VARIABLE_23480) (ho_529 _let_1 (ho_834 k_833 (ho_525 (ho_524 k_604 BOUND_VARIABLE_23481) BOUND_VARIABLE_23482)))) (ho_526 (ho_525 (ho_524 (ho_907 k_971 BOUND_VARIABLE_23480) BOUND_VARIABLE_23481) BOUND_VARIABLE_23482) BOUND_VARIABLE_23483)))))) (let ((_let_1267 (forall ((BOUND_VARIABLE_23448 tptp.set_variable) (BOUND_VARIABLE_23449 tptp.set_variable) (BOUND_VARIABLE_23450 tptp.set_variable) (BOUND_VARIABLE_23451 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23451))) (= (and (ho_529 _let_1 BOUND_VARIABLE_23448) (ho_529 _let_1 (ho_834 k_833 (ho_525 (ho_524 k_605 BOUND_VARIABLE_23449) BOUND_VARIABLE_23450)))) (ho_526 (ho_525 (ho_524 (ho_907 k_972 BOUND_VARIABLE_23448) BOUND_VARIABLE_23449) BOUND_VARIABLE_23450) BOUND_VARIABLE_23451)))))) (let ((_let_1268 (forall ((BOUND_VARIABLE_23440 tptp.set_char) (BOUND_VARIABLE_23441 tptp.char)) (= (ho_533 (ho_532 k_973 BOUND_VARIABLE_23440) BOUND_VARIABLE_23441) (ho_536 (ho_535 k_534 BOUND_VARIABLE_23441) BOUND_VARIABLE_23440))))) (let ((_let_1269 (forall ((BOUND_VARIABLE_23432 tptp.set_variable) (BOUND_VARIABLE_23433 tptp.variable)) (= (ho_526 (ho_525 k_974 BOUND_VARIABLE_23432) BOUND_VARIABLE_23433) (ho_529 (ho_528 k_527 BOUND_VARIABLE_23433) BOUND_VARIABLE_23432))))) (let ((_let_1270 (forall ((BOUND_VARIABLE_23427 tptp.game)) (not (ho_976 k_975 BOUND_VARIABLE_23427))))) (let ((_let_1271 (forall ((BOUND_VARIABLE_23422 tptp.fml)) (not (ho_978 k_977 BOUND_VARIABLE_23422))))) (let ((_let_1272 (forall ((BOUND_VARIABLE_23417 tptp.trm)) (not (ho_729 k_979 BOUND_VARIABLE_23417))))) (let ((_let_1273 (forall ((BOUND_VARIABLE_23412 tptp.game)) (ho_976 k_980 BOUND_VARIABLE_23412)))) (let ((_let_1274 (forall ((BOUND_VARIABLE_23407 tptp.fml)) (ho_978 k_981 BOUND_VARIABLE_23407)))) (let ((_let_1275 (forall ((BOUND_VARIABLE_23402 tptp.trm)) (ho_729 k_982 BOUND_VARIABLE_23402)))) (let ((_let_1276 (forall ((BOUND_VARIABLE_23394 tptp.set_variable) (BOUND_VARIABLE_23395 tptp.variable)) (= (ho_526 (ho_525 k_983 BOUND_VARIABLE_23394) BOUND_VARIABLE_23395) (ho_529 (ho_528 k_527 BOUND_VARIABLE_23395) BOUND_VARIABLE_23394))))) (let ((_let_1277 (forall ((BOUND_VARIABLE_23386 tptp.set_variable) (BOUND_VARIABLE_23387 tptp.variable)) (= (ho_526 (ho_525 k_984 BOUND_VARIABLE_23386) BOUND_VARIABLE_23387) (ho_529 (ho_528 k_527 BOUND_VARIABLE_23387) BOUND_VARIABLE_23386))))) (let ((_let_1278 (forall ((BOUND_VARIABLE_23375 tptp.set_variable) (BOUND_VARIABLE_23376 tptp.set_variable) (BOUND_VARIABLE_23377 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23377))) (= (ho_526 (ho_525 (ho_524 k_985 BOUND_VARIABLE_23375) BOUND_VARIABLE_23376) BOUND_VARIABLE_23377) (and (ho_529 _let_1 BOUND_VARIABLE_23375) (ho_529 _let_1 BOUND_VARIABLE_23376))))))) (let ((_let_1279 (forall ((BOUND_VARIABLE_23344 tptp.set_variable) (BOUND_VARIABLE_23345 tptp.set_variable) (BOUND_VARIABLE_23346 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23346))) (= (and (ho_529 _let_1 BOUND_VARIABLE_23344) (ho_529 _let_1 (ho_834 k_833 (ho_525 (ho_524 k_606 BOUND_VARIABLE_23344) BOUND_VARIABLE_23345)))) (ho_526 (ho_525 (ho_524 k_986 BOUND_VARIABLE_23344) BOUND_VARIABLE_23345) BOUND_VARIABLE_23346)))))) (let ((_let_1280 (forall ((BOUND_VARIABLE_23333 tptp.set_variable) (BOUND_VARIABLE_23334 tptp.set_variable) (BOUND_VARIABLE_23335 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23335))) (= (ho_526 (ho_525 (ho_524 k_987 BOUND_VARIABLE_23333) BOUND_VARIABLE_23334) BOUND_VARIABLE_23335) (and (ho_529 _let_1 BOUND_VARIABLE_23333) (ho_529 _let_1 BOUND_VARIABLE_23334))))))) (let ((_let_1281 (forall ((BOUND_VARIABLE_23302 tptp.set_variable) (BOUND_VARIABLE_23303 tptp.set_variable) (BOUND_VARIABLE_23304 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23304))) (= (and (ho_529 _let_1 BOUND_VARIABLE_23302) (ho_529 _let_1 (ho_834 k_833 (ho_525 (ho_524 k_607 BOUND_VARIABLE_23302) BOUND_VARIABLE_23303)))) (ho_526 (ho_525 (ho_524 k_988 BOUND_VARIABLE_23302) BOUND_VARIABLE_23303) BOUND_VARIABLE_23304)))))) (let ((_let_1282 (forall ((BOUND_VARIABLE_23291 tptp.set_variable) (BOUND_VARIABLE_23292 tptp.set_variable) (BOUND_VARIABLE_23293 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23293))) (= (ho_526 (ho_525 (ho_524 k_989 BOUND_VARIABLE_23291) BOUND_VARIABLE_23292) BOUND_VARIABLE_23293) (and (ho_529 _let_1 BOUND_VARIABLE_23291) (ho_529 _let_1 BOUND_VARIABLE_23292))))))) (let ((_let_1283 (forall ((BOUND_VARIABLE_23260 tptp.set_variable) (BOUND_VARIABLE_23261 tptp.set_variable) (BOUND_VARIABLE_23262 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23262))) (= (and (ho_529 _let_1 (ho_834 k_833 (ho_525 (ho_524 k_608 BOUND_VARIABLE_23260) BOUND_VARIABLE_23261))) (ho_529 _let_1 BOUND_VARIABLE_23261)) (ho_526 (ho_525 (ho_524 k_990 BOUND_VARIABLE_23260) BOUND_VARIABLE_23261) BOUND_VARIABLE_23262)))))) (let ((_let_1284 (forall ((BOUND_VARIABLE_23249 tptp.set_variable) (BOUND_VARIABLE_23250 tptp.set_variable) (BOUND_VARIABLE_23251 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23251))) (= (ho_526 (ho_525 (ho_524 k_991 BOUND_VARIABLE_23249) BOUND_VARIABLE_23250) BOUND_VARIABLE_23251) (and (ho_529 _let_1 BOUND_VARIABLE_23249) (ho_529 _let_1 BOUND_VARIABLE_23250))))))) (let ((_let_1285 (forall ((BOUND_VARIABLE_23218 tptp.set_variable) (BOUND_VARIABLE_23219 tptp.set_variable) (BOUND_VARIABLE_23220 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23220))) (= (and (ho_529 _let_1 (ho_834 k_833 (ho_525 (ho_524 k_609 BOUND_VARIABLE_23218) BOUND_VARIABLE_23219))) (ho_529 _let_1 BOUND_VARIABLE_23219)) (ho_526 (ho_525 (ho_524 k_992 BOUND_VARIABLE_23218) BOUND_VARIABLE_23219) BOUND_VARIABLE_23220)))))) (let ((_let_1286 (forall ((BOUND_VARIABLE_35549 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_23192 tptp.produc62062515n_game) (BOUND_VARIABLE_23193 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 k_610 BOUND_VARIABLE_23193)) BOUND_VARIABLE_23192) (ho_385 (ho_483 (ho_624 k_993 BOUND_VARIABLE_35549) BOUND_VARIABLE_23192) BOUND_VARIABLE_23193))))) (let ((_let_1287 (forall ((BOUND_VARIABLE_35563 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_23165 tptp.produc62062515n_game) (BOUND_VARIABLE_23166 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 k_611 BOUND_VARIABLE_23166)) BOUND_VARIABLE_23165) (ho_385 (ho_483 (ho_624 k_994 BOUND_VARIABLE_35563) BOUND_VARIABLE_23165) BOUND_VARIABLE_23166))))) (let ((_let_1288 (forall ((BOUND_VARIABLE_23152 tptp.trm) (BOUND_VARIABLE_23153 tptp.set_variable) (BOUND_VARIABLE_23154 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23154))) (= (ho_526 (ho_525 (ho_666 k_995 BOUND_VARIABLE_23152) BOUND_VARIABLE_23153) BOUND_VARIABLE_23154) (and (ho_529 _let_1 (ho_668 k_667 BOUND_VARIABLE_23152)) (ho_529 _let_1 BOUND_VARIABLE_23153))))))) (let ((_let_1289 (forall ((BOUND_VARIABLE_35591 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_23125 tptp.produc62062515n_game) (BOUND_VARIABLE_23126 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 k_612 BOUND_VARIABLE_23126)) BOUND_VARIABLE_23125) (ho_385 (ho_483 (ho_624 k_996 BOUND_VARIABLE_35591) BOUND_VARIABLE_23125) BOUND_VARIABLE_23126))))) (let ((_let_1290 (forall ((BOUND_VARIABLE_23112 tptp.trm) (BOUND_VARIABLE_23113 tptp.set_variable) (BOUND_VARIABLE_23114 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23114))) (= (ho_526 (ho_525 (ho_666 k_997 BOUND_VARIABLE_23112) BOUND_VARIABLE_23113) BOUND_VARIABLE_23114) (and (ho_529 _let_1 (ho_668 k_667 BOUND_VARIABLE_23112)) (ho_529 _let_1 BOUND_VARIABLE_23113))))))) (let ((_let_1291 (forall ((BOUND_VARIABLE_23102 tptp.set_variable) (BOUND_VARIABLE_23103 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23103))) (= (ho_526 (ho_525 k_998 BOUND_VARIABLE_23102) BOUND_VARIABLE_23103) (and (ho_529 _let_1 BOUND_VARIABLE_23102) (ho_529 _let_1 (ho_834 k_833 k_832)))))))) (let ((_let_1292 (forall ((BOUND_VARIABLE_23092 tptp.set_variable) (BOUND_VARIABLE_23093 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23093))) (= (ho_526 (ho_525 k_999 BOUND_VARIABLE_23092) BOUND_VARIABLE_23093) (and (ho_529 _let_1 (ho_834 k_833 k_832)) (ho_529 _let_1 BOUND_VARIABLE_23092))))))) (let ((_let_1293 (forall ((BOUND_VARIABLE_23068 tptp.produc1418842292n_game) (BOUND_VARIABLE_23069 tptp.char) (BOUND_VARIABLE_23070 tptp.set_variable) (BOUND_VARIABLE_23071 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23071))) (= (and (ho_529 _let_1 (ho_668 k_667 (ho_675 k_674 (ho_385 (ho_673 (ho_672 k_671 k_685) BOUND_VARIABLE_23068) BOUND_VARIABLE_23069)))) (ho_529 _let_1 BOUND_VARIABLE_23070)) (ho_526 (ho_525 (ho_678 (ho_677 k_1000 BOUND_VARIABLE_23068) BOUND_VARIABLE_23069) BOUND_VARIABLE_23070) BOUND_VARIABLE_23071)))))) (let ((_let_1294 (forall ((BOUND_VARIABLE_35654 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_23040 tptp.produc62062515n_game) (BOUND_VARIABLE_23041 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_423 k_613 BOUND_VARIABLE_35654) BOUND_VARIABLE_23041)) BOUND_VARIABLE_23040) (ho_385 (ho_483 (ho_624 k_1001 BOUND_VARIABLE_35654) BOUND_VARIABLE_23040) BOUND_VARIABLE_23041))))) (let ((_let_1295 (forall ((BOUND_VARIABLE_35669 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_23011 tptp.produc62062515n_game) (BOUND_VARIABLE_23012 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_423 k_614 BOUND_VARIABLE_35669) BOUND_VARIABLE_23012)) BOUND_VARIABLE_23011) (ho_385 (ho_483 (ho_624 k_1002 BOUND_VARIABLE_35669) BOUND_VARIABLE_23011) BOUND_VARIABLE_23012))))) (let ((_let_1296 (forall ((BOUND_VARIABLE_22998 tptp.trm) (BOUND_VARIABLE_22999 tptp.set_variable) (BOUND_VARIABLE_23000 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_23000))) (= (ho_526 (ho_525 (ho_666 k_1003 BOUND_VARIABLE_22998) BOUND_VARIABLE_22999) BOUND_VARIABLE_23000) (and (ho_529 _let_1 (ho_668 k_667 BOUND_VARIABLE_22998)) (ho_529 _let_1 BOUND_VARIABLE_22999))))))) (let ((_let_1297 (forall ((BOUND_VARIABLE_35698 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_22970 tptp.produc62062515n_game) (BOUND_VARIABLE_22971 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_423 k_615 BOUND_VARIABLE_35698) BOUND_VARIABLE_22971)) BOUND_VARIABLE_22970) (ho_385 (ho_483 (ho_624 k_1004 BOUND_VARIABLE_35698) BOUND_VARIABLE_22970) BOUND_VARIABLE_22971))))) (let ((_let_1298 (forall ((BOUND_VARIABLE_22957 tptp.trm) (BOUND_VARIABLE_22958 tptp.set_variable) (BOUND_VARIABLE_22959 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_22959))) (= (ho_526 (ho_525 (ho_666 k_1005 BOUND_VARIABLE_22957) BOUND_VARIABLE_22958) BOUND_VARIABLE_22959) (and (ho_529 _let_1 (ho_668 k_667 BOUND_VARIABLE_22957)) (ho_529 _let_1 BOUND_VARIABLE_22958))))))) (let ((_let_1299 (forall ((BOUND_VARIABLE_22933 tptp.produc1418842292n_game) (BOUND_VARIABLE_22934 tptp.char) (BOUND_VARIABLE_22935 tptp.set_variable) (BOUND_VARIABLE_22936 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_22936))) (= (and (ho_529 _let_1 (ho_668 k_667 (ho_675 k_674 (ho_385 (ho_673 (ho_672 k_671 k_685) BOUND_VARIABLE_22933) BOUND_VARIABLE_22934)))) (ho_529 _let_1 BOUND_VARIABLE_22935)) (ho_526 (ho_525 (ho_678 (ho_677 k_1006 BOUND_VARIABLE_22933) BOUND_VARIABLE_22934) BOUND_VARIABLE_22935) BOUND_VARIABLE_22936)))))) (let ((_let_1300 (forall ((BOUND_VARIABLE_35746 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_22905 tptp.produc62062515n_game) (BOUND_VARIABLE_22906 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_423 k_616 BOUND_VARIABLE_35746) BOUND_VARIABLE_22906)) BOUND_VARIABLE_22905) (ho_385 (ho_483 (ho_624 k_1007 BOUND_VARIABLE_35746) BOUND_VARIABLE_22905) BOUND_VARIABLE_22906))))) (let ((_let_1301 (forall ((BOUND_VARIABLE_35761 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_22876 tptp.produc62062515n_game) (BOUND_VARIABLE_22877 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_423 k_617 BOUND_VARIABLE_35761) BOUND_VARIABLE_22877)) BOUND_VARIABLE_22876) (ho_385 (ho_483 (ho_624 k_1008 BOUND_VARIABLE_35761) BOUND_VARIABLE_22876) BOUND_VARIABLE_22877))))) (let ((_let_1302 (forall ((BOUND_VARIABLE_22863 tptp.trm) (BOUND_VARIABLE_22864 tptp.set_variable) (BOUND_VARIABLE_22865 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_22865))) (= (ho_526 (ho_525 (ho_666 k_1009 BOUND_VARIABLE_22863) BOUND_VARIABLE_22864) BOUND_VARIABLE_22865) (and (ho_529 _let_1 (ho_668 k_667 BOUND_VARIABLE_22863)) (ho_529 _let_1 BOUND_VARIABLE_22864))))))) (let ((_let_1303 (forall ((BOUND_VARIABLE_35790 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_22835 tptp.produc62062515n_game) (BOUND_VARIABLE_22836 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_423 k_618 BOUND_VARIABLE_35790) BOUND_VARIABLE_22836)) BOUND_VARIABLE_22835) (ho_385 (ho_483 (ho_624 k_1010 BOUND_VARIABLE_35790) BOUND_VARIABLE_22835) BOUND_VARIABLE_22836))))) (let ((_let_1304 (forall ((BOUND_VARIABLE_22822 tptp.trm) (BOUND_VARIABLE_22823 tptp.set_variable) (BOUND_VARIABLE_22824 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_22824))) (= (ho_526 (ho_525 (ho_666 k_1011 BOUND_VARIABLE_22822) BOUND_VARIABLE_22823) BOUND_VARIABLE_22824) (and (ho_529 _let_1 (ho_668 k_667 BOUND_VARIABLE_22822)) (ho_529 _let_1 BOUND_VARIABLE_22823))))))) (let ((_let_1305 (forall ((BOUND_VARIABLE_35819 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_22794 tptp.produc62062515n_game) (BOUND_VARIABLE_22795 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_423 k_619 BOUND_VARIABLE_35819) BOUND_VARIABLE_22795)) BOUND_VARIABLE_22794) (ho_385 (ho_483 (ho_624 k_1012 BOUND_VARIABLE_35819) BOUND_VARIABLE_22794) BOUND_VARIABLE_22795))))) (let ((_let_1306 (forall ((BOUND_VARIABLE_22774 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_22774))) (= (and (ho_529 _let_1 (ho_668 k_667 (ho_675 k_674 (ho_385 (ho_673 (ho_672 k_671 k_623) tptp.sigma) tptp.f)))) (ho_529 _let_1 tptp.u)) (ho_526 k_1013 BOUND_VARIABLE_22774)))))) (let ((_let_1307 (forall ((BOUND_VARIABLE_35848 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_22746 tptp.produc62062515n_game) (BOUND_VARIABLE_22747 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_423 k_625 BOUND_VARIABLE_35848) BOUND_VARIABLE_22747)) BOUND_VARIABLE_22746) (ho_385 (ho_483 (ho_624 k_1014 BOUND_VARIABLE_35848) BOUND_VARIABLE_22746) BOUND_VARIABLE_22747))))) (let ((_let_1308 (forall ((BOUND_VARIABLE_22726 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_22726))) (= (and (ho_529 _let_1 (ho_668 k_667 (ho_675 k_674 (ho_385 (ho_673 (ho_672 k_671 k_626) tptp.sigma) tptp.f)))) (ho_529 _let_1 tptp.u)) (ho_526 k_1015 BOUND_VARIABLE_22726)))))) (let ((_let_1309 (forall ((BOUND_VARIABLE_22713 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_22713))) (= (and (ho_529 _let_1 (ho_668 k_667 (ho_675 k_674 (ho_385 (ho_673 (ho_672 k_671 k_685) tptp.sigma) tptp.f)))) (ho_529 _let_1 tptp.u)) (ho_526 k_1016 BOUND_VARIABLE_22713)))))) (let ((_let_1310 (forall ((BOUND_VARIABLE_35890 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_22685 tptp.produc62062515n_game) (BOUND_VARIABLE_22686 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_423 k_627 BOUND_VARIABLE_35890) BOUND_VARIABLE_22686)) BOUND_VARIABLE_22685) (ho_385 (ho_483 (ho_624 k_1017 BOUND_VARIABLE_35890) BOUND_VARIABLE_22685) BOUND_VARIABLE_22686))))) (let ((_let_1311 (forall ((BOUND_VARIABLE_22665 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_22665))) (= (and (ho_529 _let_1 (ho_668 k_667 (ho_675 k_674 (ho_385 (ho_673 (ho_672 k_671 k_628) tptp.sigma) tptp.f)))) (ho_529 _let_1 tptp.v)) (ho_526 k_1018 BOUND_VARIABLE_22665)))))) (let ((_let_1312 (forall ((BOUND_VARIABLE_35919 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_22637 tptp.produc62062515n_game) (BOUND_VARIABLE_22638 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_423 k_629 BOUND_VARIABLE_35919) BOUND_VARIABLE_22638)) BOUND_VARIABLE_22637) (ho_385 (ho_483 (ho_624 k_1019 BOUND_VARIABLE_35919) BOUND_VARIABLE_22637) BOUND_VARIABLE_22638))))) (let ((_let_1313 (forall ((BOUND_VARIABLE_22617 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_22617))) (= (and (ho_529 _let_1 (ho_668 k_667 (ho_675 k_674 (ho_385 (ho_673 (ho_672 k_671 k_630) tptp.sigma) tptp.f)))) (ho_529 _let_1 tptp.v)) (ho_526 k_1020 BOUND_VARIABLE_22617)))))) (let ((_let_1314 (forall ((BOUND_VARIABLE_22579 tptp.produc1418842292n_game) (BOUND_VARIABLE_22580 tptp.char) (BOUND_VARIABLE_22581 tptp.set_variable) (BOUND_VARIABLE_22582 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_22582))) (= (and (ho_529 _let_1 (ho_668 k_667 (ho_675 k_674 (ho_385 (ho_673 (ho_672 k_671 k_685) BOUND_VARIABLE_22579) BOUND_VARIABLE_22580)))) (ho_529 _let_1 BOUND_VARIABLE_22581)) (ho_526 (ho_525 (ho_678 (ho_677 k_1022 BOUND_VARIABLE_22579) BOUND_VARIABLE_22580) BOUND_VARIABLE_22581) BOUND_VARIABLE_22582)))))) (let ((_let_1315 (forall ((BOUND_VARIABLE_35976 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_22551 tptp.produc62062515n_game) (BOUND_VARIABLE_22552 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_423 k_631 BOUND_VARIABLE_35976) BOUND_VARIABLE_22552)) BOUND_VARIABLE_22551) (ho_385 (ho_483 (ho_624 k_685 BOUND_VARIABLE_35976) BOUND_VARIABLE_22551) BOUND_VARIABLE_22552))))) (let ((_let_1316 (forall ((BOUND_VARIABLE_22536 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_22536))) (= (and (ho_529 _let_1 (ho_668 k_667 (ho_675 k_674 (ho_385 (ho_673 (ho_672 k_671 k_1023) tptp.sigma) tptp.f)))) (ho_529 _let_1 tptp.u)) (ho_526 k_1024 BOUND_VARIABLE_22536)))))) (let ((_let_1317 (forall ((BOUND_VARIABLE_36005 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_22508 tptp.produc62062515n_game) (BOUND_VARIABLE_22509 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_423 k_632 BOUND_VARIABLE_36005) BOUND_VARIABLE_22509)) BOUND_VARIABLE_22508) (ho_385 (ho_483 (ho_624 k_1023 BOUND_VARIABLE_36005) BOUND_VARIABLE_22508) BOUND_VARIABLE_22509))))) (let ((_let_1318 (forall ((BOUND_VARIABLE_36019 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_22479 tptp.produc62062515n_game) (BOUND_VARIABLE_22480 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_423 k_633 BOUND_VARIABLE_36019) BOUND_VARIABLE_22480)) BOUND_VARIABLE_22479) (ho_385 (ho_483 (ho_624 k_1025 BOUND_VARIABLE_36019) BOUND_VARIABLE_22479) BOUND_VARIABLE_22480))))) (let ((_let_1319 (forall ((BOUND_VARIABLE_22459 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_22459))) (= (and (ho_529 _let_1 (ho_668 k_667 (ho_675 k_674 (ho_385 (ho_673 (ho_672 k_671 k_634) tptp.sigma) tptp.f)))) (ho_529 _let_1 tptp.v)) (ho_526 k_1026 BOUND_VARIABLE_22459)))))) (let ((_let_1320 (forall ((BOUND_VARIABLE_36048 |u_(-> tptp.char tptp.option_trm)|) (BOUND_VARIABLE_22430 tptp.produc62062515n_game) (BOUND_VARIABLE_22431 tptp.char)) (= (ho_622 (ho_621 k_620 (ho_424 (ho_423 k_635 BOUND_VARIABLE_36048) BOUND_VARIABLE_22431)) BOUND_VARIABLE_22430) (ho_385 (ho_483 (ho_624 k_1027 BOUND_VARIABLE_36048) BOUND_VARIABLE_22430) BOUND_VARIABLE_22431))))) (let ((_let_1321 (forall ((BOUND_VARIABLE_22410 tptp.variable)) (let ((_let_1 (ho_528 k_527 BOUND_VARIABLE_22410))) (= (and (ho_529 _let_1 (ho_668 k_667 (ho_675 k_674 (ho_385 (ho_673 (ho_672 k_671 k_636) tptp.sigma) tptp.f)))) (ho_529 _let_1 tptp.u)) (ho_526 k_1028 BOUND_VARIABLE_22410)))))) (let ((_let_1322 (forall ((BOUND_VARIABLE_7925 tptp.option_trm) (BOUND_VARIABLE_36078 |u_(-> tptp.trm tptp.option_trm)|) (BOUND_VARIABLE_7929 tptp.option_trm)) (let ((_let_1 (ho_648 BOUND_VARIABLE_36078 (ho_675 k_674 BOUND_VARIABLE_7929)))) (let ((_let_2 (= tptp.none_trm BOUND_VARIABLE_7929))) (or _let_2 (= _let_1 (ho_661 (ho_660 (ho_659 k_658 _let_2) BOUND_VARIABLE_7925) _let_1)))))))) (let ((_let_1323 (forall ((BOUND_VARIABLE_7910 tptp.option_trm) (BOUND_VARIABLE_36088 |u_(-> tptp.trm tptp.option_trm)|)) (= BOUND_VARIABLE_7910 (ho_661 (ho_660 (ho_659 k_658 true) BOUND_VARIABLE_7910) (ho_648 BOUND_VARIABLE_36088 (ho_675 k_674 tptp.none_trm))))))) (let ((_let_1324 (forall ((BOUND_VARIABLE_29091 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_29092 tptp.char) (BOUND_VARIABLE_29093 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_29094 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_29091 BOUND_VARIABLE_29092) (ll_382 BOUND_VARIABLE_29091 BOUND_VARIABLE_29092 BOUND_VARIABLE_29093 BOUND_VARIABLE_29094))))) (let ((_let_1325 (forall ((BOUND_VARIABLE_29082 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_29083 tptp.char) (BOUND_VARIABLE_29084 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_29085 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_29082 BOUND_VARIABLE_29083) (ll_381 BOUND_VARIABLE_29082 BOUND_VARIABLE_29083 BOUND_VARIABLE_29084 BOUND_VARIABLE_29085))))) (let ((_let_1326 (forall ((BOUND_VARIABLE_29073 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_29074 tptp.char) (BOUND_VARIABLE_29075 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_29076 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_29073 BOUND_VARIABLE_29074) (ll_380 BOUND_VARIABLE_29073 BOUND_VARIABLE_29074 BOUND_VARIABLE_29075 BOUND_VARIABLE_29076))))) (let ((_let_1327 (forall ((BOUND_VARIABLE_29064 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_29065 tptp.char) (BOUND_VARIABLE_29066 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_29067 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_29064 BOUND_VARIABLE_29065) (ll_379 BOUND_VARIABLE_29064 BOUND_VARIABLE_29065 BOUND_VARIABLE_29066 BOUND_VARIABLE_29067))))) (let ((_let_1328 (forall ((BOUND_VARIABLE_29055 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_29056 tptp.char) (BOUND_VARIABLE_29057 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_29058 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_29055 BOUND_VARIABLE_29056) (ll_378 BOUND_VARIABLE_29055 BOUND_VARIABLE_29056 BOUND_VARIABLE_29057 BOUND_VARIABLE_29058))))) (let ((_let_1329 (forall ((BOUND_VARIABLE_29046 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_29047 tptp.char) (BOUND_VARIABLE_29048 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_29049 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_29046 BOUND_VARIABLE_29047) (ll_377 BOUND_VARIABLE_29046 BOUND_VARIABLE_29047 BOUND_VARIABLE_29048 BOUND_VARIABLE_29049))))) (let ((_let_1330 (forall ((BOUND_VARIABLE_29037 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_29038 tptp.char) (BOUND_VARIABLE_29039 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_29040 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_29037 BOUND_VARIABLE_29038) (ll_376 BOUND_VARIABLE_29037 BOUND_VARIABLE_29038 BOUND_VARIABLE_29039 BOUND_VARIABLE_29040))))) (let ((_let_1331 (forall ((BOUND_VARIABLE_29029 tptp.char) (BOUND_VARIABLE_29030 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_29031 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_29030 BOUND_VARIABLE_29029) (ll_375 BOUND_VARIABLE_29029 BOUND_VARIABLE_29030 BOUND_VARIABLE_29031))))) (let ((_let_1332 (forall ((BOUND_VARIABLE_29021 tptp.char) (BOUND_VARIABLE_29022 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_29023 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_29022 BOUND_VARIABLE_29021) (ll_374 BOUND_VARIABLE_29021 BOUND_VARIABLE_29022 BOUND_VARIABLE_29023))))) (let ((_let_1333 (forall ((BOUND_VARIABLE_29012 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_29013 tptp.char) (BOUND_VARIABLE_29014 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_29015 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_29012 BOUND_VARIABLE_29013) (ll_373 BOUND_VARIABLE_29012 BOUND_VARIABLE_29013 BOUND_VARIABLE_29014 BOUND_VARIABLE_29015))))) (let ((_let_1334 (forall ((BOUND_VARIABLE_29003 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_29004 tptp.char) (BOUND_VARIABLE_29005 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_29006 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_29003 BOUND_VARIABLE_29004) (ll_372 BOUND_VARIABLE_29003 BOUND_VARIABLE_29004 BOUND_VARIABLE_29005 BOUND_VARIABLE_29006))))) (let ((_let_1335 (forall ((BOUND_VARIABLE_28994 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28995 tptp.char) (BOUND_VARIABLE_28996 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28997 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_28994 BOUND_VARIABLE_28995) (ll_371 BOUND_VARIABLE_28994 BOUND_VARIABLE_28995 BOUND_VARIABLE_28996 BOUND_VARIABLE_28997))))) (let ((_let_1336 (forall ((BOUND_VARIABLE_28985 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28986 tptp.char) (BOUND_VARIABLE_28987 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28988 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_28985 BOUND_VARIABLE_28986) (ll_370 BOUND_VARIABLE_28985 BOUND_VARIABLE_28986 BOUND_VARIABLE_28987 BOUND_VARIABLE_28988))))) (let ((_let_1337 (forall ((BOUND_VARIABLE_28976 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28977 tptp.char) (BOUND_VARIABLE_28978 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28979 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_28976 BOUND_VARIABLE_28977) (ll_369 BOUND_VARIABLE_28976 BOUND_VARIABLE_28977 BOUND_VARIABLE_28978 BOUND_VARIABLE_28979))))) (let ((_let_1338 (forall ((BOUND_VARIABLE_28967 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28968 tptp.char) (BOUND_VARIABLE_28969 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28970 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_28967 BOUND_VARIABLE_28968) (ll_368 BOUND_VARIABLE_28967 BOUND_VARIABLE_28968 BOUND_VARIABLE_28969 BOUND_VARIABLE_28970))))) (let ((_let_1339 (forall ((BOUND_VARIABLE_28958 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28959 tptp.char) (BOUND_VARIABLE_28960 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28961 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_28958 BOUND_VARIABLE_28959) (ll_367 BOUND_VARIABLE_28958 BOUND_VARIABLE_28959 BOUND_VARIABLE_28960 BOUND_VARIABLE_28961))))) (let ((_let_1340 (forall ((BOUND_VARIABLE_28949 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28950 tptp.char) (BOUND_VARIABLE_28951 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28952 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_28949 BOUND_VARIABLE_28950) (ll_366 BOUND_VARIABLE_28949 BOUND_VARIABLE_28950 BOUND_VARIABLE_28951 BOUND_VARIABLE_28952))))) (let ((_let_1341 (forall ((BOUND_VARIABLE_28940 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28941 tptp.char) (BOUND_VARIABLE_28942 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28943 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_28940 BOUND_VARIABLE_28941) (ll_365 BOUND_VARIABLE_28940 BOUND_VARIABLE_28941 BOUND_VARIABLE_28942 BOUND_VARIABLE_28943))))) (let ((_let_1342 (forall ((BOUND_VARIABLE_28931 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28932 tptp.char) (BOUND_VARIABLE_28933 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28934 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_28931 BOUND_VARIABLE_28932) (ll_364 BOUND_VARIABLE_28931 BOUND_VARIABLE_28932 BOUND_VARIABLE_28933 BOUND_VARIABLE_28934))))) (let ((_let_1343 (forall ((BOUND_VARIABLE_28922 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28923 tptp.char) (BOUND_VARIABLE_28924 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28925 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_28922 BOUND_VARIABLE_28923) (ll_363 BOUND_VARIABLE_28922 BOUND_VARIABLE_28923 BOUND_VARIABLE_28924 BOUND_VARIABLE_28925))))) (let ((_let_1344 (forall ((BOUND_VARIABLE_28913 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28914 tptp.char) (BOUND_VARIABLE_28915 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28916 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_28913 BOUND_VARIABLE_28914) (ll_362 BOUND_VARIABLE_28913 BOUND_VARIABLE_28914 BOUND_VARIABLE_28915 BOUND_VARIABLE_28916))))) (let ((_let_1345 (forall ((BOUND_VARIABLE_28904 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28905 tptp.char) (BOUND_VARIABLE_28906 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28907 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_28904 BOUND_VARIABLE_28905) (ll_361 BOUND_VARIABLE_28904 BOUND_VARIABLE_28905 BOUND_VARIABLE_28906 BOUND_VARIABLE_28907))))) (let ((_let_1346 (forall ((BOUND_VARIABLE_28895 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28896 tptp.char) (BOUND_VARIABLE_28897 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28898 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_28895 BOUND_VARIABLE_28896) (ll_360 BOUND_VARIABLE_28895 BOUND_VARIABLE_28896 BOUND_VARIABLE_28897 BOUND_VARIABLE_28898))))) (let ((_let_1347 (forall ((BOUND_VARIABLE_28886 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28887 tptp.char) (BOUND_VARIABLE_28888 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28889 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_28886 BOUND_VARIABLE_28887) (ll_359 BOUND_VARIABLE_28886 BOUND_VARIABLE_28887 BOUND_VARIABLE_28888 BOUND_VARIABLE_28889))))) (let ((_let_1348 (forall ((BOUND_VARIABLE_28877 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28878 tptp.char) (BOUND_VARIABLE_28879 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28880 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_28877 BOUND_VARIABLE_28878) (ll_358 BOUND_VARIABLE_28877 BOUND_VARIABLE_28878 BOUND_VARIABLE_28879 BOUND_VARIABLE_28880))))) (let ((_let_1349 (forall ((BOUND_VARIABLE_28868 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28869 tptp.char) (BOUND_VARIABLE_28870 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28871 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_28868 BOUND_VARIABLE_28869) (ll_357 BOUND_VARIABLE_28868 BOUND_VARIABLE_28869 BOUND_VARIABLE_28870 BOUND_VARIABLE_28871))))) (let ((_let_1350 (forall ((BOUND_VARIABLE_28844 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28845 tptp.char) (BOUND_VARIABLE_28846 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28847 tptp.produc799602994n_game)) (= (ll_356 BOUND_VARIABLE_28844 BOUND_VARIABLE_28845 BOUND_VARIABLE_28846 BOUND_VARIABLE_28847) (@ (@ tptp.produc885547027on_trm (@ (@ ll_382 BOUND_VARIABLE_28844) BOUND_VARIABLE_28845)) BOUND_VARIABLE_28847))))) (let ((_let_1351 (forall ((BOUND_VARIABLE_28835 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28836 tptp.char) (BOUND_VARIABLE_28837 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28838 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_28835 BOUND_VARIABLE_28836) (ll_355 BOUND_VARIABLE_28835 BOUND_VARIABLE_28836 BOUND_VARIABLE_28837 BOUND_VARIABLE_28838))))) (let ((_let_1352 (forall ((BOUND_VARIABLE_28811 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28812 tptp.char) (BOUND_VARIABLE_28813 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28814 tptp.produc799602994n_game)) (= (ll_354 BOUND_VARIABLE_28811 BOUND_VARIABLE_28812 BOUND_VARIABLE_28813 BOUND_VARIABLE_28814) (@ (@ tptp.produc885547027on_trm (@ (@ ll_381 BOUND_VARIABLE_28811) BOUND_VARIABLE_28812)) BOUND_VARIABLE_28814))))) (let ((_let_1353 (forall ((BOUND_VARIABLE_28802 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28803 tptp.char) (BOUND_VARIABLE_28804 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28805 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_28802 BOUND_VARIABLE_28803) (ll_353 BOUND_VARIABLE_28802 BOUND_VARIABLE_28803 BOUND_VARIABLE_28804 BOUND_VARIABLE_28805))))) (let ((_let_1354 (forall ((BOUND_VARIABLE_28778 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28779 tptp.char) (BOUND_VARIABLE_28780 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28781 tptp.produc799602994n_game)) (= (ll_352 BOUND_VARIABLE_28778 BOUND_VARIABLE_28779 BOUND_VARIABLE_28780 BOUND_VARIABLE_28781) (@ (@ tptp.produc885547027on_trm (@ (@ ll_380 BOUND_VARIABLE_28778) BOUND_VARIABLE_28779)) BOUND_VARIABLE_28781))))) (let ((_let_1355 (forall ((BOUND_VARIABLE_28769 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28770 tptp.char) (BOUND_VARIABLE_28771 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28772 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_28769 BOUND_VARIABLE_28770) (ll_351 BOUND_VARIABLE_28769 BOUND_VARIABLE_28770 BOUND_VARIABLE_28771 BOUND_VARIABLE_28772))))) (let ((_let_1356 (forall ((BOUND_VARIABLE_28745 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28746 tptp.char) (BOUND_VARIABLE_28747 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28748 tptp.produc799602994n_game)) (= (ll_350 BOUND_VARIABLE_28745 BOUND_VARIABLE_28746 BOUND_VARIABLE_28747 BOUND_VARIABLE_28748) (@ (@ tptp.produc885547027on_trm (@ (@ ll_379 BOUND_VARIABLE_28745) BOUND_VARIABLE_28746)) BOUND_VARIABLE_28748))))) (let ((_let_1357 (forall ((BOUND_VARIABLE_28736 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28737 tptp.char) (BOUND_VARIABLE_28738 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28739 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_28736 BOUND_VARIABLE_28737) (ll_349 BOUND_VARIABLE_28736 BOUND_VARIABLE_28737 BOUND_VARIABLE_28738 BOUND_VARIABLE_28739))))) (let ((_let_1358 (forall ((BOUND_VARIABLE_28727 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28728 tptp.char) (BOUND_VARIABLE_28729 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28730 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_28727 BOUND_VARIABLE_28728) (ll_348 BOUND_VARIABLE_28727 BOUND_VARIABLE_28728 BOUND_VARIABLE_28729 BOUND_VARIABLE_28730))))) (let ((_let_1359 (forall ((BOUND_VARIABLE_28718 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28719 tptp.char) (BOUND_VARIABLE_28720 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28721 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_28718 BOUND_VARIABLE_28719) (ll_347 BOUND_VARIABLE_28718 BOUND_VARIABLE_28719 BOUND_VARIABLE_28720 BOUND_VARIABLE_28721))))) (let ((_let_1360 (forall ((BOUND_VARIABLE_28694 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28695 tptp.char) (BOUND_VARIABLE_28696 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28697 tptp.produc799602994n_game)) (= (ll_346 BOUND_VARIABLE_28694 BOUND_VARIABLE_28695 BOUND_VARIABLE_28696 BOUND_VARIABLE_28697) (@ (@ tptp.produc885547027on_trm (@ (@ ll_378 BOUND_VARIABLE_28694) BOUND_VARIABLE_28695)) BOUND_VARIABLE_28697))))) (let ((_let_1361 (forall ((BOUND_VARIABLE_28685 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28686 tptp.char) (BOUND_VARIABLE_28687 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28688 (-> tptp.char tptp.option_game))) (= (@ BOUND_VARIABLE_28685 BOUND_VARIABLE_28686) (ll_345 BOUND_VARIABLE_28685 BOUND_VARIABLE_28686 BOUND_VARIABLE_28687 BOUND_VARIABLE_28688))))) (let ((_let_1362 (forall ((BOUND_VARIABLE_28661 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28662 tptp.char) (BOUND_VARIABLE_28663 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28664 tptp.produc799602994n_game)) (= (ll_344 BOUND_VARIABLE_28661 BOUND_VARIABLE_28662 BOUND_VARIABLE_28663 BOUND_VARIABLE_28664) (@ (@ tptp.produc885547027on_trm (@ (@ ll_377 BOUND_VARIABLE_28661) BOUND_VARIABLE_28662)) BOUND_VARIABLE_28664))))) (let ((_let_1363 (forall ((BOUND_VARIABLE_28637 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28638 tptp.char) (BOUND_VARIABLE_28639 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28640 tptp.produc799602994n_game)) (= (ll_343 BOUND_VARIABLE_28637 BOUND_VARIABLE_28638 BOUND_VARIABLE_28639 BOUND_VARIABLE_28640) (@ (@ tptp.produc885547027on_trm (@ (@ ll_376 BOUND_VARIABLE_28637) BOUND_VARIABLE_28638)) BOUND_VARIABLE_28640))))) (let ((_let_1364 (forall ((BOUND_VARIABLE_28616 tptp.char) (BOUND_VARIABLE_28617 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28618 tptp.produc799602994n_game)) (= (ll_342 BOUND_VARIABLE_28616 BOUND_VARIABLE_28617 BOUND_VARIABLE_28618) (@ (@ tptp.produc347802313on_fml (@ ll_375 BOUND_VARIABLE_28616)) BOUND_VARIABLE_28618))))) (let ((_let_1365 (forall ((BOUND_VARIABLE_28594 tptp.char) (BOUND_VARIABLE_28595 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28596 tptp.produc799602994n_game)) (= (ll_341 BOUND_VARIABLE_28594 BOUND_VARIABLE_28595 BOUND_VARIABLE_28596) (@ (@ tptp.produc347802313on_fml (@ ll_374 BOUND_VARIABLE_28594)) BOUND_VARIABLE_28596))))) (let ((_let_1366 (forall ((BOUND_VARIABLE_28571 tptp.char) (BOUND_VARIABLE_28572 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28573 tptp.produc799602994n_game)) (= (ll_340 BOUND_VARIABLE_28571 BOUND_VARIABLE_28572 BOUND_VARIABLE_28573) (@ (@ tptp.produc885547027on_trm (@ (@ ll_373 BOUND_VARIABLE_28572) BOUND_VARIABLE_28571)) BOUND_VARIABLE_28573))))) (let ((_let_1367 (forall ((BOUND_VARIABLE_28548 tptp.char) (BOUND_VARIABLE_28549 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28550 tptp.produc799602994n_game)) (= (ll_339 BOUND_VARIABLE_28548 BOUND_VARIABLE_28549 BOUND_VARIABLE_28550) (@ (@ tptp.produc885547027on_trm (@ (@ ll_372 BOUND_VARIABLE_28549) BOUND_VARIABLE_28548)) BOUND_VARIABLE_28550))))) (let ((_let_1368 (forall ((BOUND_VARIABLE_28537 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml)) (BOUND_VARIABLE_28538 tptp.char) (BOUND_VARIABLE_28539 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28540 (-> tptp.char tptp.option_game))) (= (@ (@ (@ BOUND_VARIABLE_28537 BOUND_VARIABLE_28539) BOUND_VARIABLE_28540) BOUND_VARIABLE_28538) (ll_338 BOUND_VARIABLE_28537 BOUND_VARIABLE_28538 BOUND_VARIABLE_28539 BOUND_VARIABLE_28540))))) (let ((_let_1369 (forall ((BOUND_VARIABLE_28526 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm)) (BOUND_VARIABLE_28527 tptp.char) (BOUND_VARIABLE_28528 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28529 (-> tptp.char tptp.option_game))) (= (@ (@ (@ BOUND_VARIABLE_28526 BOUND_VARIABLE_28528) BOUND_VARIABLE_28529) BOUND_VARIABLE_28527) (ll_337 BOUND_VARIABLE_28526 BOUND_VARIABLE_28527 BOUND_VARIABLE_28528 BOUND_VARIABLE_28529))))) (let ((_let_1370 (forall ((BOUND_VARIABLE_28515 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_28516 tptp.char) (BOUND_VARIABLE_28517 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28518 tptp.produc799602994n_game)) (= (@ (@ (@ BOUND_VARIABLE_28515 BOUND_VARIABLE_28517) BOUND_VARIABLE_28518) BOUND_VARIABLE_28516) (ll_336 BOUND_VARIABLE_28515 BOUND_VARIABLE_28516 BOUND_VARIABLE_28517 BOUND_VARIABLE_28518))))) (let ((_let_1371 (forall ((BOUND_VARIABLE_28504 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm)) (BOUND_VARIABLE_28505 tptp.char) (BOUND_VARIABLE_28506 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28507 tptp.produc799602994n_game)) (= (@ (@ (@ BOUND_VARIABLE_28504 BOUND_VARIABLE_28506) BOUND_VARIABLE_28507) BOUND_VARIABLE_28505) (ll_335 BOUND_VARIABLE_28504 BOUND_VARIABLE_28505 BOUND_VARIABLE_28506 BOUND_VARIABLE_28507))))) (let ((_let_1372 (forall ((BOUND_VARIABLE_28493 (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_28494 tptp.char) (BOUND_VARIABLE_28495 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28496 tptp.produc62062515n_game)) (= (@ (@ (@ BOUND_VARIABLE_28493 BOUND_VARIABLE_28495) BOUND_VARIABLE_28496) BOUND_VARIABLE_28494) (ll_334 BOUND_VARIABLE_28493 BOUND_VARIABLE_28494 BOUND_VARIABLE_28495 BOUND_VARIABLE_28496))))) (let ((_let_1373 (forall ((BOUND_VARIABLE_28481 (-> tptp.produc799602994n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_28482 tptp.char) (BOUND_VARIABLE_28483 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28484 (-> tptp.char tptp.option_game))) (= (@ (@ BOUND_VARIABLE_28481 (@ (@ tptp.produc123610156n_game BOUND_VARIABLE_28483) BOUND_VARIABLE_28484)) BOUND_VARIABLE_28482) (ll_333 BOUND_VARIABLE_28481 BOUND_VARIABLE_28482 BOUND_VARIABLE_28483 BOUND_VARIABLE_28484))))) (let ((_let_1374 (forall ((BOUND_VARIABLE_28469 (-> tptp.produc799602994n_game tptp.char tptp.option_trm)) (BOUND_VARIABLE_28470 tptp.char) (BOUND_VARIABLE_28471 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28472 (-> tptp.char tptp.option_game))) (= (@ (@ BOUND_VARIABLE_28469 (@ (@ tptp.produc123610156n_game BOUND_VARIABLE_28471) BOUND_VARIABLE_28472)) BOUND_VARIABLE_28470) (ll_332 BOUND_VARIABLE_28469 BOUND_VARIABLE_28470 BOUND_VARIABLE_28471 BOUND_VARIABLE_28472))))) (let ((_let_1375 (forall ((BOUND_VARIABLE_28457 (-> tptp.produc62062515n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_28458 tptp.char) (BOUND_VARIABLE_28459 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28460 tptp.produc799602994n_game)) (= (@ (@ BOUND_VARIABLE_28457 (@ (@ tptp.produc1048060077n_game BOUND_VARIABLE_28459) BOUND_VARIABLE_28460)) BOUND_VARIABLE_28458) (ll_331 BOUND_VARIABLE_28457 BOUND_VARIABLE_28458 BOUND_VARIABLE_28459 BOUND_VARIABLE_28460))))) (let ((_let_1376 (forall ((BOUND_VARIABLE_28445 (-> tptp.produc62062515n_game tptp.char tptp.option_trm)) (BOUND_VARIABLE_28446 tptp.char) (BOUND_VARIABLE_28447 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28448 tptp.produc799602994n_game)) (= (@ (@ BOUND_VARIABLE_28445 (@ (@ tptp.produc1048060077n_game BOUND_VARIABLE_28447) BOUND_VARIABLE_28448)) BOUND_VARIABLE_28446) (ll_330 BOUND_VARIABLE_28445 BOUND_VARIABLE_28446 BOUND_VARIABLE_28447 BOUND_VARIABLE_28448))))) (let ((_let_1377 (forall ((BOUND_VARIABLE_28433 (-> tptp.produc1418842292n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_28434 tptp.char) (BOUND_VARIABLE_28435 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28436 tptp.produc62062515n_game)) (= (@ (@ BOUND_VARIABLE_28433 (@ (@ tptp.produc1618635950n_game BOUND_VARIABLE_28435) BOUND_VARIABLE_28436)) BOUND_VARIABLE_28434) (ll_329 BOUND_VARIABLE_28433 BOUND_VARIABLE_28434 BOUND_VARIABLE_28435 BOUND_VARIABLE_28436))))) (let ((_let_1378 (forall ((BOUND_VARIABLE_28422 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml)) (BOUND_VARIABLE_28423 tptp.char) (BOUND_VARIABLE_28424 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28425 (-> tptp.char tptp.option_game))) (= (@ (@ (@ BOUND_VARIABLE_28422 BOUND_VARIABLE_28424) BOUND_VARIABLE_28425) BOUND_VARIABLE_28423) (ll_328 BOUND_VARIABLE_28422 BOUND_VARIABLE_28423 BOUND_VARIABLE_28424 BOUND_VARIABLE_28425))))) (let ((_let_1379 (forall ((BOUND_VARIABLE_28411 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm)) (BOUND_VARIABLE_28412 tptp.char) (BOUND_VARIABLE_28413 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28414 (-> tptp.char tptp.option_game))) (= (@ (@ (@ BOUND_VARIABLE_28411 BOUND_VARIABLE_28413) BOUND_VARIABLE_28414) BOUND_VARIABLE_28412) (ll_327 BOUND_VARIABLE_28411 BOUND_VARIABLE_28412 BOUND_VARIABLE_28413 BOUND_VARIABLE_28414))))) (let ((_let_1380 (forall ((BOUND_VARIABLE_28400 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_28401 tptp.char) (BOUND_VARIABLE_28402 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28403 tptp.produc799602994n_game)) (= (@ (@ (@ BOUND_VARIABLE_28400 BOUND_VARIABLE_28402) BOUND_VARIABLE_28403) BOUND_VARIABLE_28401) (ll_326 BOUND_VARIABLE_28400 BOUND_VARIABLE_28401 BOUND_VARIABLE_28402 BOUND_VARIABLE_28403))))) (let ((_let_1381 (forall ((BOUND_VARIABLE_28389 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm)) (BOUND_VARIABLE_28390 tptp.char) (BOUND_VARIABLE_28391 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28392 tptp.produc799602994n_game)) (= (@ (@ (@ BOUND_VARIABLE_28389 BOUND_VARIABLE_28391) BOUND_VARIABLE_28392) BOUND_VARIABLE_28390) (ll_325 BOUND_VARIABLE_28389 BOUND_VARIABLE_28390 BOUND_VARIABLE_28391 BOUND_VARIABLE_28392))))) (let ((_let_1382 (forall ((BOUND_VARIABLE_28378 (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_28379 tptp.char) (BOUND_VARIABLE_28380 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28381 tptp.produc62062515n_game)) (= (@ (@ (@ BOUND_VARIABLE_28378 BOUND_VARIABLE_28380) BOUND_VARIABLE_28381) BOUND_VARIABLE_28379) (ll_324 BOUND_VARIABLE_28378 BOUND_VARIABLE_28379 BOUND_VARIABLE_28380 BOUND_VARIABLE_28381))))) (let ((_let_1383 (forall ((BOUND_VARIABLE_28367 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml)) (BOUND_VARIABLE_28368 tptp.char) (BOUND_VARIABLE_28369 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28370 (-> tptp.char tptp.option_game))) (= (@ (@ (@ BOUND_VARIABLE_28367 BOUND_VARIABLE_28369) BOUND_VARIABLE_28370) BOUND_VARIABLE_28368) (ll_323 BOUND_VARIABLE_28367 BOUND_VARIABLE_28368 BOUND_VARIABLE_28369 BOUND_VARIABLE_28370))))) (let ((_let_1384 (forall ((BOUND_VARIABLE_28356 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm)) (BOUND_VARIABLE_28357 tptp.char) (BOUND_VARIABLE_28358 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28359 (-> tptp.char tptp.option_game))) (= (@ (@ (@ BOUND_VARIABLE_28356 BOUND_VARIABLE_28358) BOUND_VARIABLE_28359) BOUND_VARIABLE_28357) (ll_322 BOUND_VARIABLE_28356 BOUND_VARIABLE_28357 BOUND_VARIABLE_28358 BOUND_VARIABLE_28359))))) (let ((_let_1385 (forall ((BOUND_VARIABLE_28345 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_28346 tptp.char) (BOUND_VARIABLE_28347 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28348 tptp.produc799602994n_game)) (= (@ (@ (@ BOUND_VARIABLE_28345 BOUND_VARIABLE_28347) BOUND_VARIABLE_28348) BOUND_VARIABLE_28346) (ll_321 BOUND_VARIABLE_28345 BOUND_VARIABLE_28346 BOUND_VARIABLE_28347 BOUND_VARIABLE_28348))))) (let ((_let_1386 (forall ((BOUND_VARIABLE_28334 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm)) (BOUND_VARIABLE_28335 tptp.char) (BOUND_VARIABLE_28336 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28337 tptp.produc799602994n_game)) (= (@ (@ (@ BOUND_VARIABLE_28334 BOUND_VARIABLE_28336) BOUND_VARIABLE_28337) BOUND_VARIABLE_28335) (ll_320 BOUND_VARIABLE_28334 BOUND_VARIABLE_28335 BOUND_VARIABLE_28336 BOUND_VARIABLE_28337))))) (let ((_let_1387 (forall ((BOUND_VARIABLE_28323 (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_28324 tptp.char) (BOUND_VARIABLE_28325 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28326 tptp.produc62062515n_game)) (= (@ (@ (@ BOUND_VARIABLE_28323 BOUND_VARIABLE_28325) BOUND_VARIABLE_28326) BOUND_VARIABLE_28324) (ll_319 BOUND_VARIABLE_28323 BOUND_VARIABLE_28324 BOUND_VARIABLE_28325 BOUND_VARIABLE_28326))))) (let ((_let_1388 (forall ((BOUND_VARIABLE_28300 tptp.char) (BOUND_VARIABLE_28301 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28302 tptp.produc799602994n_game)) (= (ll_318 BOUND_VARIABLE_28300 BOUND_VARIABLE_28301 BOUND_VARIABLE_28302) (@ (@ tptp.produc885547027on_trm (@ (@ ll_371 BOUND_VARIABLE_28301) BOUND_VARIABLE_28300)) BOUND_VARIABLE_28302))))) (let ((_let_1389 (forall ((BOUND_VARIABLE_28290 (-> tptp.game tptp.game tptp.game)) (BOUND_VARIABLE_28291 tptp.game) (BOUND_VARIABLE_28292 tptp.game)) (= (@ tptp.some_game (@ (@ BOUND_VARIABLE_28290 BOUND_VARIABLE_28291) BOUND_VARIABLE_28292)) (ll_317 BOUND_VARIABLE_28290 BOUND_VARIABLE_28291 BOUND_VARIABLE_28292))))) (let ((_let_1390 (forall ((BOUND_VARIABLE_28280 (-> tptp.fml tptp.fml tptp.fml)) (BOUND_VARIABLE_28281 tptp.fml) (BOUND_VARIABLE_28282 tptp.fml)) (= (@ tptp.some_fml (@ (@ BOUND_VARIABLE_28280 BOUND_VARIABLE_28281) BOUND_VARIABLE_28282)) (ll_316 BOUND_VARIABLE_28280 BOUND_VARIABLE_28281 BOUND_VARIABLE_28282))))) (let ((_let_1391 (forall ((BOUND_VARIABLE_28270 (-> tptp.game tptp.game tptp.game)) (BOUND_VARIABLE_28271 tptp.game) (BOUND_VARIABLE_28272 tptp.game)) (= (@ tptp.some_game (@ (@ BOUND_VARIABLE_28270 BOUND_VARIABLE_28271) BOUND_VARIABLE_28272)) (ll_315 BOUND_VARIABLE_28270 BOUND_VARIABLE_28271 BOUND_VARIABLE_28272))))) (let ((_let_1392 (forall ((BOUND_VARIABLE_28260 (-> tptp.fml tptp.fml tptp.fml)) (BOUND_VARIABLE_28261 tptp.fml) (BOUND_VARIABLE_28262 tptp.fml)) (= (@ tptp.some_fml (@ (@ BOUND_VARIABLE_28260 BOUND_VARIABLE_28261) BOUND_VARIABLE_28262)) (ll_314 BOUND_VARIABLE_28260 BOUND_VARIABLE_28261 BOUND_VARIABLE_28262))))) (let ((_let_1393 (forall ((BOUND_VARIABLE_28250 (-> tptp.game tptp.game tptp.game)) (BOUND_VARIABLE_28251 tptp.game) (BOUND_VARIABLE_28252 tptp.game)) (= (@ tptp.some_game (@ (@ BOUND_VARIABLE_28250 BOUND_VARIABLE_28251) BOUND_VARIABLE_28252)) (ll_313 BOUND_VARIABLE_28250 BOUND_VARIABLE_28251 BOUND_VARIABLE_28252))))) (let ((_let_1394 (forall ((BOUND_VARIABLE_28240 (-> tptp.fml tptp.fml tptp.fml)) (BOUND_VARIABLE_28241 tptp.fml) (BOUND_VARIABLE_28242 tptp.fml)) (= (@ tptp.some_fml (@ (@ BOUND_VARIABLE_28240 BOUND_VARIABLE_28241) BOUND_VARIABLE_28242)) (ll_312 BOUND_VARIABLE_28240 BOUND_VARIABLE_28241 BOUND_VARIABLE_28242))))) (let ((_let_1395 (forall ((BOUND_VARIABLE_28217 tptp.char) (BOUND_VARIABLE_28218 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28219 tptp.produc799602994n_game)) (= (ll_311 BOUND_VARIABLE_28217 BOUND_VARIABLE_28218 BOUND_VARIABLE_28219) (@ (@ tptp.produc885547027on_trm (@ (@ ll_370 BOUND_VARIABLE_28218) BOUND_VARIABLE_28217)) BOUND_VARIABLE_28219))))) (let ((_let_1396 (forall ((BOUND_VARIABLE_28194 tptp.char) (BOUND_VARIABLE_28195 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28196 tptp.produc799602994n_game)) (= (ll_310 BOUND_VARIABLE_28194 BOUND_VARIABLE_28195 BOUND_VARIABLE_28196) (@ (@ tptp.produc885547027on_trm (@ (@ ll_369 BOUND_VARIABLE_28195) BOUND_VARIABLE_28194)) BOUND_VARIABLE_28196))))) (let ((_let_1397 (forall ((BOUND_VARIABLE_28183 tptp.set_variable) (BOUND_VARIABLE_28184 tptp.set_variable) (BOUND_VARIABLE_28185 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_28185))) (= (and (@ _let_1 BOUND_VARIABLE_28183) (@ _let_1 BOUND_VARIABLE_28184)) (ll_309 BOUND_VARIABLE_28183 BOUND_VARIABLE_28184 BOUND_VARIABLE_28185)))))) (let ((_let_1398 (forall ((BOUND_VARIABLE_28172 tptp.set_char) (BOUND_VARIABLE_28173 tptp.set_char) (BOUND_VARIABLE_28174 tptp.char)) (let ((_let_1 (@ tptp.member_char BOUND_VARIABLE_28174))) (= (and (@ _let_1 BOUND_VARIABLE_28172) (@ _let_1 BOUND_VARIABLE_28173)) (ll_308 BOUND_VARIABLE_28172 BOUND_VARIABLE_28173 BOUND_VARIABLE_28174)))))) (let ((_let_1399 (forall ((BOUND_VARIABLE_28161 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml)) (BOUND_VARIABLE_28162 tptp.char) (BOUND_VARIABLE_28163 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28164 (-> tptp.char tptp.option_game))) (= (@ (@ (@ BOUND_VARIABLE_28161 BOUND_VARIABLE_28163) BOUND_VARIABLE_28164) BOUND_VARIABLE_28162) (ll_307 BOUND_VARIABLE_28161 BOUND_VARIABLE_28162 BOUND_VARIABLE_28163 BOUND_VARIABLE_28164))))) (let ((_let_1400 (forall ((BOUND_VARIABLE_28148 (-> (-> tptp.char tptp.option_fml) tptp.char tptp.option_fml)) (BOUND_VARIABLE_28149 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml)) (BOUND_VARIABLE_28150 tptp.char) (BOUND_VARIABLE_28151 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28152 (-> tptp.char tptp.option_game))) (= (@ (@ BOUND_VARIABLE_28148 (@ (@ BOUND_VARIABLE_28149 BOUND_VARIABLE_28151) BOUND_VARIABLE_28152)) BOUND_VARIABLE_28150) (ll_306 BOUND_VARIABLE_28148 BOUND_VARIABLE_28149 BOUND_VARIABLE_28150 BOUND_VARIABLE_28151 BOUND_VARIABLE_28152))))) (let ((_let_1401 (forall ((BOUND_VARIABLE_28137 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml)) (BOUND_VARIABLE_28138 tptp.char) (BOUND_VARIABLE_28139 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28140 (-> tptp.char tptp.option_game))) (= (@ (@ (@ BOUND_VARIABLE_28137 BOUND_VARIABLE_28139) BOUND_VARIABLE_28140) BOUND_VARIABLE_28138) (ll_305 BOUND_VARIABLE_28137 BOUND_VARIABLE_28138 BOUND_VARIABLE_28139 BOUND_VARIABLE_28140))))) (let ((_let_1402 (forall ((BOUND_VARIABLE_28124 (-> (-> tptp.char tptp.option_fml) tptp.char tptp.option_trm)) (BOUND_VARIABLE_28125 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml)) (BOUND_VARIABLE_28126 tptp.char) (BOUND_VARIABLE_28127 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28128 (-> tptp.char tptp.option_game))) (= (@ (@ BOUND_VARIABLE_28124 (@ (@ BOUND_VARIABLE_28125 BOUND_VARIABLE_28127) BOUND_VARIABLE_28128)) BOUND_VARIABLE_28126) (ll_304 BOUND_VARIABLE_28124 BOUND_VARIABLE_28125 BOUND_VARIABLE_28126 BOUND_VARIABLE_28127 BOUND_VARIABLE_28128))))) (let ((_let_1403 (forall ((BOUND_VARIABLE_28113 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm)) (BOUND_VARIABLE_28114 tptp.char) (BOUND_VARIABLE_28115 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28116 (-> tptp.char tptp.option_game))) (= (@ (@ (@ BOUND_VARIABLE_28113 BOUND_VARIABLE_28115) BOUND_VARIABLE_28116) BOUND_VARIABLE_28114) (ll_303 BOUND_VARIABLE_28113 BOUND_VARIABLE_28114 BOUND_VARIABLE_28115 BOUND_VARIABLE_28116))))) (let ((_let_1404 (forall ((BOUND_VARIABLE_28100 (-> (-> tptp.char tptp.option_trm) tptp.char tptp.option_fml)) (BOUND_VARIABLE_28101 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm)) (BOUND_VARIABLE_28102 tptp.char) (BOUND_VARIABLE_28103 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28104 (-> tptp.char tptp.option_game))) (= (@ (@ BOUND_VARIABLE_28100 (@ (@ BOUND_VARIABLE_28101 BOUND_VARIABLE_28103) BOUND_VARIABLE_28104)) BOUND_VARIABLE_28102) (ll_302 BOUND_VARIABLE_28100 BOUND_VARIABLE_28101 BOUND_VARIABLE_28102 BOUND_VARIABLE_28103 BOUND_VARIABLE_28104))))) (let ((_let_1405 (forall ((BOUND_VARIABLE_28089 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm)) (BOUND_VARIABLE_28090 tptp.char) (BOUND_VARIABLE_28091 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28092 (-> tptp.char tptp.option_game))) (= (@ (@ (@ BOUND_VARIABLE_28089 BOUND_VARIABLE_28091) BOUND_VARIABLE_28092) BOUND_VARIABLE_28090) (ll_301 BOUND_VARIABLE_28089 BOUND_VARIABLE_28090 BOUND_VARIABLE_28091 BOUND_VARIABLE_28092))))) (let ((_let_1406 (forall ((BOUND_VARIABLE_28076 (-> (-> tptp.char tptp.option_trm) tptp.char tptp.option_trm)) (BOUND_VARIABLE_28077 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm)) (BOUND_VARIABLE_28078 tptp.char) (BOUND_VARIABLE_28079 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_28080 (-> tptp.char tptp.option_game))) (= (@ (@ BOUND_VARIABLE_28076 (@ (@ BOUND_VARIABLE_28077 BOUND_VARIABLE_28079) BOUND_VARIABLE_28080)) BOUND_VARIABLE_28078) (ll_300 BOUND_VARIABLE_28076 BOUND_VARIABLE_28077 BOUND_VARIABLE_28078 BOUND_VARIABLE_28079 BOUND_VARIABLE_28080))))) (let ((_let_1407 (forall ((BOUND_VARIABLE_28065 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_28066 tptp.char) (BOUND_VARIABLE_28067 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28068 tptp.produc799602994n_game)) (= (@ (@ (@ BOUND_VARIABLE_28065 BOUND_VARIABLE_28067) BOUND_VARIABLE_28068) BOUND_VARIABLE_28066) (ll_299 BOUND_VARIABLE_28065 BOUND_VARIABLE_28066 BOUND_VARIABLE_28067 BOUND_VARIABLE_28068))))) (let ((_let_1408 (forall ((BOUND_VARIABLE_28052 (-> (-> tptp.char tptp.option_fml) tptp.char tptp.option_fml)) (BOUND_VARIABLE_28053 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_28054 tptp.char) (BOUND_VARIABLE_28055 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28056 tptp.produc799602994n_game)) (= (@ (@ BOUND_VARIABLE_28052 (@ (@ BOUND_VARIABLE_28053 BOUND_VARIABLE_28055) BOUND_VARIABLE_28056)) BOUND_VARIABLE_28054) (ll_298 BOUND_VARIABLE_28052 BOUND_VARIABLE_28053 BOUND_VARIABLE_28054 BOUND_VARIABLE_28055 BOUND_VARIABLE_28056))))) (let ((_let_1409 (forall ((BOUND_VARIABLE_28041 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_28042 tptp.char) (BOUND_VARIABLE_28043 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28044 tptp.produc799602994n_game)) (= (@ (@ (@ BOUND_VARIABLE_28041 BOUND_VARIABLE_28043) BOUND_VARIABLE_28044) BOUND_VARIABLE_28042) (ll_297 BOUND_VARIABLE_28041 BOUND_VARIABLE_28042 BOUND_VARIABLE_28043 BOUND_VARIABLE_28044))))) (let ((_let_1410 (forall ((BOUND_VARIABLE_28028 (-> (-> tptp.char tptp.option_fml) tptp.char tptp.option_trm)) (BOUND_VARIABLE_28029 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_28030 tptp.char) (BOUND_VARIABLE_28031 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28032 tptp.produc799602994n_game)) (= (@ (@ BOUND_VARIABLE_28028 (@ (@ BOUND_VARIABLE_28029 BOUND_VARIABLE_28031) BOUND_VARIABLE_28032)) BOUND_VARIABLE_28030) (ll_296 BOUND_VARIABLE_28028 BOUND_VARIABLE_28029 BOUND_VARIABLE_28030 BOUND_VARIABLE_28031 BOUND_VARIABLE_28032))))) (let ((_let_1411 (forall ((BOUND_VARIABLE_28017 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm)) (BOUND_VARIABLE_28018 tptp.char) (BOUND_VARIABLE_28019 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28020 tptp.produc799602994n_game)) (= (@ (@ (@ BOUND_VARIABLE_28017 BOUND_VARIABLE_28019) BOUND_VARIABLE_28020) BOUND_VARIABLE_28018) (ll_295 BOUND_VARIABLE_28017 BOUND_VARIABLE_28018 BOUND_VARIABLE_28019 BOUND_VARIABLE_28020))))) (let ((_let_1412 (forall ((BOUND_VARIABLE_28004 (-> (-> tptp.char tptp.option_trm) tptp.char tptp.option_fml)) (BOUND_VARIABLE_28005 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm)) (BOUND_VARIABLE_28006 tptp.char) (BOUND_VARIABLE_28007 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_28008 tptp.produc799602994n_game)) (= (@ (@ BOUND_VARIABLE_28004 (@ (@ BOUND_VARIABLE_28005 BOUND_VARIABLE_28007) BOUND_VARIABLE_28008)) BOUND_VARIABLE_28006) (ll_294 BOUND_VARIABLE_28004 BOUND_VARIABLE_28005 BOUND_VARIABLE_28006 BOUND_VARIABLE_28007 BOUND_VARIABLE_28008))))) (let ((_let_1413 (forall ((BOUND_VARIABLE_27993 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm)) (BOUND_VARIABLE_27994 tptp.char) (BOUND_VARIABLE_27995 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27996 tptp.produc799602994n_game)) (= (@ (@ (@ BOUND_VARIABLE_27993 BOUND_VARIABLE_27995) BOUND_VARIABLE_27996) BOUND_VARIABLE_27994) (ll_293 BOUND_VARIABLE_27993 BOUND_VARIABLE_27994 BOUND_VARIABLE_27995 BOUND_VARIABLE_27996))))) (let ((_let_1414 (forall ((BOUND_VARIABLE_27980 (-> (-> tptp.char tptp.option_trm) tptp.char tptp.option_trm)) (BOUND_VARIABLE_27981 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm)) (BOUND_VARIABLE_27982 tptp.char) (BOUND_VARIABLE_27983 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27984 tptp.produc799602994n_game)) (= (@ (@ BOUND_VARIABLE_27980 (@ (@ BOUND_VARIABLE_27981 BOUND_VARIABLE_27983) BOUND_VARIABLE_27984)) BOUND_VARIABLE_27982) (ll_292 BOUND_VARIABLE_27980 BOUND_VARIABLE_27981 BOUND_VARIABLE_27982 BOUND_VARIABLE_27983 BOUND_VARIABLE_27984))))) (let ((_let_1415 (forall ((BOUND_VARIABLE_27969 (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_27970 tptp.char) (BOUND_VARIABLE_27971 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27972 tptp.produc62062515n_game)) (= (@ (@ (@ BOUND_VARIABLE_27969 BOUND_VARIABLE_27971) BOUND_VARIABLE_27972) BOUND_VARIABLE_27970) (ll_291 BOUND_VARIABLE_27969 BOUND_VARIABLE_27970 BOUND_VARIABLE_27971 BOUND_VARIABLE_27972))))) (let ((_let_1416 (forall ((BOUND_VARIABLE_27956 (-> (-> tptp.char tptp.option_fml) tptp.char tptp.option_fml)) (BOUND_VARIABLE_27957 (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_27958 tptp.char) (BOUND_VARIABLE_27959 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27960 tptp.produc62062515n_game)) (= (@ (@ BOUND_VARIABLE_27956 (@ (@ BOUND_VARIABLE_27957 BOUND_VARIABLE_27959) BOUND_VARIABLE_27960)) BOUND_VARIABLE_27958) (ll_290 BOUND_VARIABLE_27956 BOUND_VARIABLE_27957 BOUND_VARIABLE_27958 BOUND_VARIABLE_27959 BOUND_VARIABLE_27960))))) (let ((_let_1417 (forall ((BOUND_VARIABLE_27948 tptp.set_variable) (BOUND_VARIABLE_27949 tptp.variable)) (= (@ (@ tptp.member_variable BOUND_VARIABLE_27949) BOUND_VARIABLE_27948) (ll_289 BOUND_VARIABLE_27948 BOUND_VARIABLE_27949))))) (let ((_let_1418 (forall ((BOUND_VARIABLE_27940 tptp.set_variable) (BOUND_VARIABLE_27941 tptp.variable)) (= (@ (@ tptp.member_variable BOUND_VARIABLE_27941) BOUND_VARIABLE_27940) (ll_288 BOUND_VARIABLE_27940 BOUND_VARIABLE_27941))))) (let ((_let_1419 (forall ((BOUND_VARIABLE_27929 tptp.set_char) (BOUND_VARIABLE_27930 tptp.set_char) (BOUND_VARIABLE_27931 tptp.char)) (let ((_let_1 (@ tptp.member_char BOUND_VARIABLE_27931))) (= (and (@ _let_1 BOUND_VARIABLE_27929) (@ _let_1 BOUND_VARIABLE_27930)) (ll_287 BOUND_VARIABLE_27929 BOUND_VARIABLE_27930 BOUND_VARIABLE_27931)))))) (let ((_let_1420 (forall ((BOUND_VARIABLE_27921 tptp.set_char) (BOUND_VARIABLE_27922 tptp.char)) (= (@ (@ tptp.member_char BOUND_VARIABLE_27922) BOUND_VARIABLE_27921) (ll_286 BOUND_VARIABLE_27921 BOUND_VARIABLE_27922))))) (let ((_let_1421 (forall ((BOUND_VARIABLE_27913 tptp.set_char) (BOUND_VARIABLE_27914 tptp.char)) (= (@ (@ tptp.member_char BOUND_VARIABLE_27914) BOUND_VARIABLE_27913) (ll_285 BOUND_VARIABLE_27913 BOUND_VARIABLE_27914))))) (let ((_let_1422 (forall ((BOUND_VARIABLE_27902 tptp.set_variable) (BOUND_VARIABLE_27903 tptp.set_variable) (BOUND_VARIABLE_27904 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27904))) (= (and (@ _let_1 BOUND_VARIABLE_27902) (@ _let_1 BOUND_VARIABLE_27903)) (ll_284 BOUND_VARIABLE_27902 BOUND_VARIABLE_27903 BOUND_VARIABLE_27904)))))) (let ((_let_1423 (forall ((BOUND_VARIABLE_27891 tptp.set_variable) (BOUND_VARIABLE_27892 tptp.set_variable) (BOUND_VARIABLE_27893 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27893))) (= (and (@ _let_1 BOUND_VARIABLE_27891) (@ _let_1 BOUND_VARIABLE_27892)) (ll_283 BOUND_VARIABLE_27891 BOUND_VARIABLE_27892 BOUND_VARIABLE_27893)))))) (let ((_let_1424 (forall ((BOUND_VARIABLE_27880 tptp.set_variable) (BOUND_VARIABLE_27881 tptp.set_variable) (BOUND_VARIABLE_27882 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27882))) (= (and (@ _let_1 BOUND_VARIABLE_27880) (@ _let_1 BOUND_VARIABLE_27881)) (ll_282 BOUND_VARIABLE_27880 BOUND_VARIABLE_27881 BOUND_VARIABLE_27882)))))) (let ((_let_1425 (forall ((BOUND_VARIABLE_27869 tptp.set_variable) (BOUND_VARIABLE_27870 tptp.set_variable) (BOUND_VARIABLE_27871 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27871))) (= (and (@ _let_1 BOUND_VARIABLE_27869) (@ _let_1 BOUND_VARIABLE_27870)) (ll_281 BOUND_VARIABLE_27869 BOUND_VARIABLE_27870 BOUND_VARIABLE_27871)))))) (let ((_let_1426 (forall ((BOUND_VARIABLE_27858 tptp.set_variable) (BOUND_VARIABLE_27859 tptp.set_variable) (BOUND_VARIABLE_27860 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27860))) (= (and (@ _let_1 BOUND_VARIABLE_27858) (@ _let_1 BOUND_VARIABLE_27859)) (ll_280 BOUND_VARIABLE_27858 BOUND_VARIABLE_27859 BOUND_VARIABLE_27860)))))) (let ((_let_1427 (forall ((BOUND_VARIABLE_27847 tptp.set_variable) (BOUND_VARIABLE_27848 tptp.set_variable) (BOUND_VARIABLE_27849 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27849))) (= (and (@ _let_1 BOUND_VARIABLE_27847) (@ _let_1 BOUND_VARIABLE_27848)) (ll_279 BOUND_VARIABLE_27847 BOUND_VARIABLE_27848 BOUND_VARIABLE_27849)))))) (let ((_let_1428 (forall ((BOUND_VARIABLE_27824 tptp.char) (BOUND_VARIABLE_27825 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27826 tptp.produc799602994n_game)) (= (ll_278 BOUND_VARIABLE_27824 BOUND_VARIABLE_27825 BOUND_VARIABLE_27826) (@ (@ tptp.produc885547027on_trm (@ (@ ll_368 BOUND_VARIABLE_27825) BOUND_VARIABLE_27824)) BOUND_VARIABLE_27826))))) (let ((_let_1429 (forall ((BOUND_VARIABLE_27801 tptp.char) (BOUND_VARIABLE_27802 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27803 tptp.produc799602994n_game)) (= (ll_277 BOUND_VARIABLE_27801 BOUND_VARIABLE_27802 BOUND_VARIABLE_27803) (@ (@ tptp.produc885547027on_trm (@ (@ ll_367 BOUND_VARIABLE_27802) BOUND_VARIABLE_27801)) BOUND_VARIABLE_27803))))) (let ((_let_1430 (forall ((BOUND_VARIABLE_27790 tptp.set_variable) (BOUND_VARIABLE_27791 tptp.set_variable) (BOUND_VARIABLE_27792 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27792))) (= (and (@ _let_1 BOUND_VARIABLE_27790) (@ _let_1 BOUND_VARIABLE_27791)) (ll_276 BOUND_VARIABLE_27790 BOUND_VARIABLE_27791 BOUND_VARIABLE_27792)))))) (let ((_let_1431 (forall ((BOUND_VARIABLE_27779 tptp.set_variable) (BOUND_VARIABLE_27780 tptp.set_variable) (BOUND_VARIABLE_27781 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27781))) (= (and (@ _let_1 BOUND_VARIABLE_27779) (@ _let_1 BOUND_VARIABLE_27780)) (ll_275 BOUND_VARIABLE_27779 BOUND_VARIABLE_27780 BOUND_VARIABLE_27781)))))) (let ((_let_1432 (forall ((BOUND_VARIABLE_27768 tptp.set_variable) (BOUND_VARIABLE_27769 tptp.set_variable) (BOUND_VARIABLE_27770 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27770))) (= (and (@ _let_1 BOUND_VARIABLE_27768) (@ _let_1 BOUND_VARIABLE_27769)) (ll_274 BOUND_VARIABLE_27768 BOUND_VARIABLE_27769 BOUND_VARIABLE_27770)))))) (let ((_let_1433 (forall ((BOUND_VARIABLE_27757 tptp.set_variable) (BOUND_VARIABLE_27758 tptp.set_variable) (BOUND_VARIABLE_27759 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27759))) (= (and (@ _let_1 BOUND_VARIABLE_27757) (@ _let_1 BOUND_VARIABLE_27758)) (ll_273 BOUND_VARIABLE_27757 BOUND_VARIABLE_27758 BOUND_VARIABLE_27759)))))) (let ((_let_1434 (forall ((BOUND_VARIABLE_27746 tptp.set_variable) (BOUND_VARIABLE_27747 tptp.set_variable) (BOUND_VARIABLE_27748 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27748))) (= (and (@ _let_1 BOUND_VARIABLE_27746) (@ _let_1 BOUND_VARIABLE_27747)) (ll_272 BOUND_VARIABLE_27746 BOUND_VARIABLE_27747 BOUND_VARIABLE_27748)))))) (let ((_let_1435 (forall ((BOUND_VARIABLE_27735 tptp.set_variable) (BOUND_VARIABLE_27736 tptp.set_variable) (BOUND_VARIABLE_27737 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27737))) (= (and (@ _let_1 BOUND_VARIABLE_27735) (@ _let_1 BOUND_VARIABLE_27736)) (ll_271 BOUND_VARIABLE_27735 BOUND_VARIABLE_27736 BOUND_VARIABLE_27737)))))) (let ((_let_1436 (forall ((BOUND_VARIABLE_27724 tptp.set_variable) (BOUND_VARIABLE_27725 tptp.set_variable) (BOUND_VARIABLE_27726 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27726))) (= (and (@ _let_1 BOUND_VARIABLE_27724) (@ _let_1 BOUND_VARIABLE_27725)) (ll_270 BOUND_VARIABLE_27724 BOUND_VARIABLE_27725 BOUND_VARIABLE_27726)))))) (let ((_let_1437 (forall ((BOUND_VARIABLE_27713 tptp.set_variable) (BOUND_VARIABLE_27714 tptp.set_variable) (BOUND_VARIABLE_27715 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27715))) (= (and (@ _let_1 BOUND_VARIABLE_27713) (@ _let_1 BOUND_VARIABLE_27714)) (ll_269 BOUND_VARIABLE_27713 BOUND_VARIABLE_27714 BOUND_VARIABLE_27715)))))) (let ((_let_1438 (forall ((BOUND_VARIABLE_27702 tptp.set_variable) (BOUND_VARIABLE_27703 tptp.set_variable) (BOUND_VARIABLE_27704 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27704))) (= (and (@ _let_1 BOUND_VARIABLE_27702) (@ _let_1 BOUND_VARIABLE_27703)) (ll_268 BOUND_VARIABLE_27702 BOUND_VARIABLE_27703 BOUND_VARIABLE_27704)))))) (let ((_let_1439 (forall ((BOUND_VARIABLE_27691 tptp.set_variable) (BOUND_VARIABLE_27692 tptp.set_variable) (BOUND_VARIABLE_27693 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27693))) (= (and (@ _let_1 BOUND_VARIABLE_27691) (@ _let_1 BOUND_VARIABLE_27692)) (ll_267 BOUND_VARIABLE_27691 BOUND_VARIABLE_27692 BOUND_VARIABLE_27693)))))) (let ((_let_1440 (forall ((BOUND_VARIABLE_27680 tptp.set_variable) (BOUND_VARIABLE_27681 tptp.set_variable) (BOUND_VARIABLE_27682 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27682))) (= (and (@ _let_1 BOUND_VARIABLE_27680) (@ _let_1 BOUND_VARIABLE_27681)) (ll_266 BOUND_VARIABLE_27680 BOUND_VARIABLE_27681 BOUND_VARIABLE_27682)))))) (let ((_let_1441 (forall ((BOUND_VARIABLE_27669 tptp.set_variable) (BOUND_VARIABLE_27670 tptp.set_variable) (BOUND_VARIABLE_27671 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27671))) (= (and (@ _let_1 BOUND_VARIABLE_27669) (@ _let_1 BOUND_VARIABLE_27670)) (ll_265 BOUND_VARIABLE_27669 BOUND_VARIABLE_27670 BOUND_VARIABLE_27671)))))) (let ((_let_1442 (forall ((BOUND_VARIABLE_27658 tptp.set_variable) (BOUND_VARIABLE_27659 tptp.set_variable) (BOUND_VARIABLE_27660 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27660))) (= (and (@ _let_1 BOUND_VARIABLE_27658) (@ _let_1 BOUND_VARIABLE_27659)) (ll_264 BOUND_VARIABLE_27658 BOUND_VARIABLE_27659 BOUND_VARIABLE_27660)))))) (let ((_let_1443 (forall ((BOUND_VARIABLE_27647 tptp.set_variable) (BOUND_VARIABLE_27648 tptp.set_variable) (BOUND_VARIABLE_27649 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27649))) (= (and (@ _let_1 BOUND_VARIABLE_27647) (@ _let_1 BOUND_VARIABLE_27648)) (ll_263 BOUND_VARIABLE_27647 BOUND_VARIABLE_27648 BOUND_VARIABLE_27649)))))) (let ((_let_1444 (forall ((BOUND_VARIABLE_27636 tptp.set_variable) (BOUND_VARIABLE_27637 tptp.set_variable) (BOUND_VARIABLE_27638 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27638))) (= (and (@ _let_1 BOUND_VARIABLE_27636) (@ _let_1 BOUND_VARIABLE_27637)) (ll_262 BOUND_VARIABLE_27636 BOUND_VARIABLE_27637 BOUND_VARIABLE_27638)))))) (let ((_let_1445 (forall ((BOUND_VARIABLE_27625 tptp.set_variable) (BOUND_VARIABLE_27626 tptp.set_variable) (BOUND_VARIABLE_27627 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27627))) (= (and (@ _let_1 BOUND_VARIABLE_27625) (@ _let_1 BOUND_VARIABLE_27626)) (ll_261 BOUND_VARIABLE_27625 BOUND_VARIABLE_27626 BOUND_VARIABLE_27627)))))) (let ((_let_1446 (forall ((BOUND_VARIABLE_27614 tptp.set_variable) (BOUND_VARIABLE_27615 tptp.set_variable) (BOUND_VARIABLE_27616 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27616))) (= (and (@ _let_1 BOUND_VARIABLE_27614) (@ _let_1 BOUND_VARIABLE_27615)) (ll_260 BOUND_VARIABLE_27614 BOUND_VARIABLE_27615 BOUND_VARIABLE_27616)))))) (let ((_let_1447 (forall ((BOUND_VARIABLE_27603 tptp.set_variable) (BOUND_VARIABLE_27604 tptp.set_variable) (BOUND_VARIABLE_27605 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27605))) (= (and (@ _let_1 BOUND_VARIABLE_27603) (@ _let_1 BOUND_VARIABLE_27604)) (ll_259 BOUND_VARIABLE_27603 BOUND_VARIABLE_27604 BOUND_VARIABLE_27605)))))) (let ((_let_1448 (forall ((BOUND_VARIABLE_27592 tptp.set_variable) (BOUND_VARIABLE_27593 tptp.set_variable) (BOUND_VARIABLE_27594 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27594))) (= (and (@ _let_1 BOUND_VARIABLE_27592) (@ _let_1 BOUND_VARIABLE_27593)) (ll_258 BOUND_VARIABLE_27592 BOUND_VARIABLE_27593 BOUND_VARIABLE_27594)))))) (let ((_let_1449 (forall ((BOUND_VARIABLE_27581 tptp.set_variable) (BOUND_VARIABLE_27582 tptp.set_variable) (BOUND_VARIABLE_27583 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27583))) (= (and (@ _let_1 BOUND_VARIABLE_27581) (@ _let_1 BOUND_VARIABLE_27582)) (ll_257 BOUND_VARIABLE_27581 BOUND_VARIABLE_27582 BOUND_VARIABLE_27583)))))) (let ((_let_1450 (forall ((BOUND_VARIABLE_27570 tptp.set_variable) (BOUND_VARIABLE_27571 tptp.set_variable) (BOUND_VARIABLE_27572 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27572))) (= (and (@ _let_1 BOUND_VARIABLE_27570) (@ _let_1 BOUND_VARIABLE_27571)) (ll_256 BOUND_VARIABLE_27570 BOUND_VARIABLE_27571 BOUND_VARIABLE_27572)))))) (let ((_let_1451 (forall ((BOUND_VARIABLE_27559 tptp.set_variable) (BOUND_VARIABLE_27560 tptp.set_variable) (BOUND_VARIABLE_27561 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27561))) (= (and (@ _let_1 BOUND_VARIABLE_27559) (@ _let_1 BOUND_VARIABLE_27560)) (ll_255 BOUND_VARIABLE_27559 BOUND_VARIABLE_27560 BOUND_VARIABLE_27561)))))) (let ((_let_1452 (forall ((BOUND_VARIABLE_27548 tptp.set_variable) (BOUND_VARIABLE_27549 tptp.set_variable) (BOUND_VARIABLE_27550 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27550))) (= (and (@ _let_1 BOUND_VARIABLE_27548) (@ _let_1 BOUND_VARIABLE_27549)) (ll_254 BOUND_VARIABLE_27548 BOUND_VARIABLE_27549 BOUND_VARIABLE_27550)))))) (let ((_let_1453 (forall ((BOUND_VARIABLE_27537 tptp.set_variable) (BOUND_VARIABLE_27538 tptp.set_variable) (BOUND_VARIABLE_27539 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27539))) (= (and (@ _let_1 BOUND_VARIABLE_27537) (@ _let_1 BOUND_VARIABLE_27538)) (ll_253 BOUND_VARIABLE_27537 BOUND_VARIABLE_27538 BOUND_VARIABLE_27539)))))) (let ((_let_1454 (forall ((BOUND_VARIABLE_27526 tptp.set_variable) (BOUND_VARIABLE_27527 tptp.set_variable) (BOUND_VARIABLE_27528 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_27528))) (= (and (@ _let_1 BOUND_VARIABLE_27526) (@ _let_1 BOUND_VARIABLE_27527)) (ll_252 BOUND_VARIABLE_27526 BOUND_VARIABLE_27527 BOUND_VARIABLE_27528)))))) (let ((_let_1455 (forall ((BOUND_VARIABLE_27503 tptp.char) (BOUND_VARIABLE_27504 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27505 tptp.produc799602994n_game)) (= (ll_251 BOUND_VARIABLE_27503 BOUND_VARIABLE_27504 BOUND_VARIABLE_27505) (@ (@ tptp.produc885547027on_trm (@ (@ ll_366 BOUND_VARIABLE_27504) BOUND_VARIABLE_27503)) BOUND_VARIABLE_27505))))) (let ((_let_1456 (forall ((BOUND_VARIABLE_27480 tptp.char) (BOUND_VARIABLE_27481 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27482 tptp.produc799602994n_game)) (= (ll_250 BOUND_VARIABLE_27480 BOUND_VARIABLE_27481 BOUND_VARIABLE_27482) (@ (@ tptp.produc885547027on_trm (@ (@ ll_365 BOUND_VARIABLE_27481) BOUND_VARIABLE_27480)) BOUND_VARIABLE_27482))))) (let ((_let_1457 (forall ((BOUND_VARIABLE_27457 tptp.char) (BOUND_VARIABLE_27458 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27459 tptp.produc799602994n_game)) (= (ll_249 BOUND_VARIABLE_27457 BOUND_VARIABLE_27458 BOUND_VARIABLE_27459) (@ (@ tptp.produc885547027on_trm (@ (@ ll_364 BOUND_VARIABLE_27458) BOUND_VARIABLE_27457)) BOUND_VARIABLE_27459))))) (let ((_let_1458 (forall ((BOUND_VARIABLE_27433 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27434 tptp.char) (BOUND_VARIABLE_27435 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27436 tptp.produc799602994n_game)) (= (ll_248 BOUND_VARIABLE_27433 BOUND_VARIABLE_27434 BOUND_VARIABLE_27435 BOUND_VARIABLE_27436) (@ (@ tptp.produc885547027on_trm (@ (@ ll_363 BOUND_VARIABLE_27433) BOUND_VARIABLE_27434)) BOUND_VARIABLE_27436))))) (let ((_let_1459 (forall ((BOUND_VARIABLE_27409 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27410 tptp.char) (BOUND_VARIABLE_27411 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27412 tptp.produc799602994n_game)) (= (ll_247 BOUND_VARIABLE_27409 BOUND_VARIABLE_27410 BOUND_VARIABLE_27411 BOUND_VARIABLE_27412) (@ (@ tptp.produc885547027on_trm (@ (@ ll_362 BOUND_VARIABLE_27409) BOUND_VARIABLE_27410)) BOUND_VARIABLE_27412))))) (let ((_let_1460 (forall ((BOUND_VARIABLE_27385 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27386 tptp.char) (BOUND_VARIABLE_27387 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27388 tptp.produc799602994n_game)) (= (ll_246 BOUND_VARIABLE_27385 BOUND_VARIABLE_27386 BOUND_VARIABLE_27387 BOUND_VARIABLE_27388) (@ (@ tptp.produc885547027on_trm (@ (@ ll_361 BOUND_VARIABLE_27385) BOUND_VARIABLE_27386)) BOUND_VARIABLE_27388))))) (let ((_let_1461 (forall ((BOUND_VARIABLE_27361 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27362 tptp.char) (BOUND_VARIABLE_27363 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27364 tptp.produc799602994n_game)) (= (ll_245 BOUND_VARIABLE_27361 BOUND_VARIABLE_27362 BOUND_VARIABLE_27363 BOUND_VARIABLE_27364) (@ (@ tptp.produc885547027on_trm (@ (@ ll_360 BOUND_VARIABLE_27361) BOUND_VARIABLE_27362)) BOUND_VARIABLE_27364))))) (let ((_let_1462 (forall ((BOUND_VARIABLE_27337 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27338 tptp.char) (BOUND_VARIABLE_27339 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27340 tptp.produc799602994n_game)) (= (ll_244 BOUND_VARIABLE_27337 BOUND_VARIABLE_27338 BOUND_VARIABLE_27339 BOUND_VARIABLE_27340) (@ (@ tptp.produc885547027on_trm (@ (@ ll_359 BOUND_VARIABLE_27337) BOUND_VARIABLE_27338)) BOUND_VARIABLE_27340))))) (let ((_let_1463 (forall ((BOUND_VARIABLE_27313 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27314 tptp.char) (BOUND_VARIABLE_27315 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27316 tptp.produc799602994n_game)) (= (ll_243 BOUND_VARIABLE_27313 BOUND_VARIABLE_27314 BOUND_VARIABLE_27315 BOUND_VARIABLE_27316) (@ (@ tptp.produc885547027on_trm (@ (@ ll_358 BOUND_VARIABLE_27313) BOUND_VARIABLE_27314)) BOUND_VARIABLE_27316))))) (let ((_let_1464 (forall ((BOUND_VARIABLE_27289 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27290 tptp.char) (BOUND_VARIABLE_27291 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27292 tptp.produc799602994n_game)) (= (ll_242 BOUND_VARIABLE_27289 BOUND_VARIABLE_27290 BOUND_VARIABLE_27291 BOUND_VARIABLE_27292) (@ (@ tptp.produc885547027on_trm (@ (@ ll_357 BOUND_VARIABLE_27289) BOUND_VARIABLE_27290)) BOUND_VARIABLE_27292))))) (let ((_let_1465 (forall ((BOUND_VARIABLE_27260 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27261 tptp.produc62062515n_game) (BOUND_VARIABLE_27262 tptp.char)) (= (ll_241 BOUND_VARIABLE_27260 BOUND_VARIABLE_27261 BOUND_VARIABLE_27262) (@ (@ tptp.produc692578258on_trm (@ (@ ll_356 BOUND_VARIABLE_27260) BOUND_VARIABLE_27262)) BOUND_VARIABLE_27261))))) (let ((_let_1466 (forall ((BOUND_VARIABLE_27236 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27237 tptp.char) (BOUND_VARIABLE_27238 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27239 tptp.produc799602994n_game)) (= (ll_240 BOUND_VARIABLE_27236 BOUND_VARIABLE_27237 BOUND_VARIABLE_27238 BOUND_VARIABLE_27239) (@ (@ tptp.produc885547027on_trm (@ (@ ll_355 BOUND_VARIABLE_27236) BOUND_VARIABLE_27237)) BOUND_VARIABLE_27239))))) (let ((_let_1467 (forall ((BOUND_VARIABLE_27207 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27208 tptp.produc62062515n_game) (BOUND_VARIABLE_27209 tptp.char)) (= (ll_239 BOUND_VARIABLE_27207 BOUND_VARIABLE_27208 BOUND_VARIABLE_27209) (@ (@ tptp.produc692578258on_trm (@ (@ ll_354 BOUND_VARIABLE_27207) BOUND_VARIABLE_27209)) BOUND_VARIABLE_27208))))) (let ((_let_1468 (forall ((BOUND_VARIABLE_27183 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27184 tptp.char) (BOUND_VARIABLE_27185 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27186 tptp.produc799602994n_game)) (= (ll_238 BOUND_VARIABLE_27183 BOUND_VARIABLE_27184 BOUND_VARIABLE_27185 BOUND_VARIABLE_27186) (@ (@ tptp.produc885547027on_trm (@ (@ ll_353 BOUND_VARIABLE_27183) BOUND_VARIABLE_27184)) BOUND_VARIABLE_27186))))) (let ((_let_1469 (forall ((BOUND_VARIABLE_27154 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27155 tptp.produc62062515n_game) (BOUND_VARIABLE_27156 tptp.char)) (= (ll_237 BOUND_VARIABLE_27154 BOUND_VARIABLE_27155 BOUND_VARIABLE_27156) (@ (@ tptp.produc692578258on_trm (@ (@ ll_352 BOUND_VARIABLE_27154) BOUND_VARIABLE_27156)) BOUND_VARIABLE_27155))))) (let ((_let_1470 (forall ((BOUND_VARIABLE_27130 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27131 tptp.char) (BOUND_VARIABLE_27132 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27133 tptp.produc799602994n_game)) (= (ll_236 BOUND_VARIABLE_27130 BOUND_VARIABLE_27131 BOUND_VARIABLE_27132 BOUND_VARIABLE_27133) (@ (@ tptp.produc885547027on_trm (@ (@ ll_351 BOUND_VARIABLE_27130) BOUND_VARIABLE_27131)) BOUND_VARIABLE_27133))))) (let ((_let_1471 (forall ((BOUND_VARIABLE_27101 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27102 tptp.produc62062515n_game) (BOUND_VARIABLE_27103 tptp.char)) (= (ll_235 BOUND_VARIABLE_27101 BOUND_VARIABLE_27102 BOUND_VARIABLE_27103) (@ (@ tptp.produc692578258on_trm (@ (@ ll_350 BOUND_VARIABLE_27101) BOUND_VARIABLE_27103)) BOUND_VARIABLE_27102))))) (let ((_let_1472 (forall ((BOUND_VARIABLE_27077 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27078 tptp.char) (BOUND_VARIABLE_27079 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27080 tptp.produc799602994n_game)) (= (ll_234 BOUND_VARIABLE_27077 BOUND_VARIABLE_27078 BOUND_VARIABLE_27079 BOUND_VARIABLE_27080) (@ (@ tptp.produc885547027on_trm (@ (@ ll_349 BOUND_VARIABLE_27077) BOUND_VARIABLE_27078)) BOUND_VARIABLE_27080))))) (let ((_let_1473 (forall ((BOUND_VARIABLE_27053 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27054 tptp.char) (BOUND_VARIABLE_27055 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27056 tptp.produc799602994n_game)) (= (ll_233 BOUND_VARIABLE_27053 BOUND_VARIABLE_27054 BOUND_VARIABLE_27055 BOUND_VARIABLE_27056) (@ (@ tptp.produc885547027on_trm (@ (@ ll_348 BOUND_VARIABLE_27053) BOUND_VARIABLE_27054)) BOUND_VARIABLE_27056))))) (let ((_let_1474 (forall ((BOUND_VARIABLE_27029 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27030 tptp.char) (BOUND_VARIABLE_27031 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27032 tptp.produc799602994n_game)) (= (ll_232 BOUND_VARIABLE_27029 BOUND_VARIABLE_27030 BOUND_VARIABLE_27031 BOUND_VARIABLE_27032) (@ (@ tptp.produc885547027on_trm (@ (@ ll_347 BOUND_VARIABLE_27029) BOUND_VARIABLE_27030)) BOUND_VARIABLE_27032))))) (let ((_let_1475 (forall ((BOUND_VARIABLE_27000 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_27001 tptp.produc62062515n_game) (BOUND_VARIABLE_27002 tptp.char)) (= (ll_231 BOUND_VARIABLE_27000 BOUND_VARIABLE_27001 BOUND_VARIABLE_27002) (@ (@ tptp.produc692578258on_trm (@ (@ ll_346 BOUND_VARIABLE_27000) BOUND_VARIABLE_27002)) BOUND_VARIABLE_27001))))) (let ((_let_1476 (forall ((BOUND_VARIABLE_26975 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_26976 tptp.char) (BOUND_VARIABLE_26977 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_26978 tptp.produc799602994n_game)) (= (ll_230 BOUND_VARIABLE_26975 BOUND_VARIABLE_26976 BOUND_VARIABLE_26977 BOUND_VARIABLE_26978) (@ (@ tptp.produc885547027on_trm (@ (@ ll_345 BOUND_VARIABLE_26975) BOUND_VARIABLE_26976)) BOUND_VARIABLE_26978))))) (let ((_let_1477 (forall ((BOUND_VARIABLE_26946 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_26947 tptp.produc62062515n_game) (BOUND_VARIABLE_26948 tptp.char)) (= (ll_229 BOUND_VARIABLE_26946 BOUND_VARIABLE_26947 BOUND_VARIABLE_26948) (@ (@ tptp.produc692578258on_trm (@ (@ ll_344 BOUND_VARIABLE_26946) BOUND_VARIABLE_26948)) BOUND_VARIABLE_26947))))) (let ((_let_1478 (forall ((BOUND_VARIABLE_26917 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_26918 tptp.produc62062515n_game) (BOUND_VARIABLE_26919 tptp.char)) (= (ll_228 BOUND_VARIABLE_26917 BOUND_VARIABLE_26918 BOUND_VARIABLE_26919) (@ (@ tptp.produc692578258on_trm (@ (@ ll_343 BOUND_VARIABLE_26917) BOUND_VARIABLE_26919)) BOUND_VARIABLE_26918))))) (let ((_let_1479 (forall ((BOUND_VARIABLE_26890 tptp.char) (BOUND_VARIABLE_26891 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_26892 tptp.produc62062515n_game)) (= (ll_227 BOUND_VARIABLE_26890 BOUND_VARIABLE_26891 BOUND_VARIABLE_26892) (@ (@ tptp.produc154833544on_fml (@ ll_342 BOUND_VARIABLE_26890)) BOUND_VARIABLE_26892))))) (let ((_let_1480 (forall ((BOUND_VARIABLE_26878 tptp.fml) (BOUND_VARIABLE_26879 tptp.set_variable) (BOUND_VARIABLE_26880 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_26880))) (= (and (@ _let_1 (@ tptp.static_FVF BOUND_VARIABLE_26878)) (@ _let_1 BOUND_VARIABLE_26879)) (ll_226 BOUND_VARIABLE_26878 BOUND_VARIABLE_26879 BOUND_VARIABLE_26880)))))) (let ((_let_1481 (forall ((BOUND_VARIABLE_26850 tptp.char) (BOUND_VARIABLE_26851 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_26852 tptp.produc62062515n_game)) (= (ll_225 BOUND_VARIABLE_26850 BOUND_VARIABLE_26851 BOUND_VARIABLE_26852) (@ (@ tptp.produc154833544on_fml (@ ll_341 BOUND_VARIABLE_26850)) BOUND_VARIABLE_26852))))) (let ((_let_1482 (forall ((BOUND_VARIABLE_26838 tptp.fml) (BOUND_VARIABLE_26839 tptp.set_variable) (BOUND_VARIABLE_26840 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_26840))) (= (and (@ _let_1 (@ tptp.static_FVF BOUND_VARIABLE_26838)) (@ _let_1 BOUND_VARIABLE_26839)) (ll_224 BOUND_VARIABLE_26838 BOUND_VARIABLE_26839 BOUND_VARIABLE_26840)))))) (let ((_let_1483 (forall ((BOUND_VARIABLE_26827 tptp.trm) (BOUND_VARIABLE_26828 tptp.char)) (= (ll_223 BOUND_VARIABLE_26827 BOUND_VARIABLE_26828) (@ (@ (@ tptp.if_option_trm (= (@ (@ (@ (@ (@ (@ (@ (@ tptp.char2 false) true) true) true) false) true) false) false) BOUND_VARIABLE_26828)) (@ tptp.some_trm BOUND_VARIABLE_26827)) tptp.none_trm))))) (let ((_let_1484 (forall ((BOUND_VARIABLE_26800 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_26801 tptp.produc62062515n_game) (BOUND_VARIABLE_26802 tptp.char)) (= (ll_222 BOUND_VARIABLE_26800 BOUND_VARIABLE_26801 BOUND_VARIABLE_26802) (@ (@ tptp.produc692578258on_trm (@ ll_340 BOUND_VARIABLE_26802)) BOUND_VARIABLE_26801))))) (let ((_let_1485 (forall ((BOUND_VARIABLE_26788 tptp.trm) (BOUND_VARIABLE_26789 tptp.set_variable) (BOUND_VARIABLE_26790 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_26790))) (= (and (@ _let_1 (@ tptp.static_FVT BOUND_VARIABLE_26788)) (@ _let_1 BOUND_VARIABLE_26789)) (ll_221 BOUND_VARIABLE_26788 BOUND_VARIABLE_26789 BOUND_VARIABLE_26790)))))) (let ((_let_1486 (forall ((BOUND_VARIABLE_26777 tptp.trm) (BOUND_VARIABLE_26778 tptp.char)) (= (ll_220 BOUND_VARIABLE_26777 BOUND_VARIABLE_26778) (@ (@ (@ tptp.if_option_trm (= (@ (@ (@ (@ (@ (@ (@ (@ tptp.char2 false) true) true) true) false) true) false) false) BOUND_VARIABLE_26778)) (@ tptp.some_trm BOUND_VARIABLE_26777)) tptp.none_trm))))) (let ((_let_1487 (forall ((BOUND_VARIABLE_26753 tptp.produc1418842292n_game) (BOUND_VARIABLE_26754 tptp.char) (BOUND_VARIABLE_26755 tptp.set_variable) (BOUND_VARIABLE_26756 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_26756))) (= (ll_219 BOUND_VARIABLE_26753 BOUND_VARIABLE_26754 BOUND_VARIABLE_26755 BOUND_VARIABLE_26756) (and (@ _let_1 (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm ll_217) BOUND_VARIABLE_26753) BOUND_VARIABLE_26754)))) (@ _let_1 BOUND_VARIABLE_26755))))))) (let ((_let_1488 (forall ((BOUND_VARIABLE_26736 tptp.produc1418842292n_game) (BOUND_VARIABLE_26737 tptp.set_variable) (BOUND_VARIABLE_26738 tptp.trm) (BOUND_VARIABLE_26739 tptp.char)) (= (ll_218 BOUND_VARIABLE_26736 BOUND_VARIABLE_26737 BOUND_VARIABLE_26738 BOUND_VARIABLE_26739) (@ (@ (@ tptp.if_option_trm (= (@ (@ (@ (@ (@ (@ (@ (@ tptp.char2 false) true) true) true) false) true) false) false) BOUND_VARIABLE_26739)) (@ tptp.some_trm (@ tptp.the_trm (@ (@ (@ tptp.uSubst516392818stappt BOUND_VARIABLE_26736) BOUND_VARIABLE_26737) BOUND_VARIABLE_26738)))) tptp.none_trm))))) (let ((_let_1489 (forall ((BOUND_VARIABLE_26709 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_26710 tptp.produc62062515n_game) (BOUND_VARIABLE_26711 tptp.char)) (= (ll_217 BOUND_VARIABLE_26709 BOUND_VARIABLE_26710 BOUND_VARIABLE_26711) (@ (@ tptp.produc692578258on_trm (@ ll_339 BOUND_VARIABLE_26711)) BOUND_VARIABLE_26710))))) (let ((_let_1490 (forall ((BOUND_VARIABLE_26685 tptp.produc1418842292n_game) (BOUND_VARIABLE_26686 tptp.char) (BOUND_VARIABLE_26687 tptp.set_variable) (BOUND_VARIABLE_26688 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_26688))) (= (ll_216 BOUND_VARIABLE_26685 BOUND_VARIABLE_26686 BOUND_VARIABLE_26687 BOUND_VARIABLE_26688) (and (@ _let_1 (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm ll_8) BOUND_VARIABLE_26685) BOUND_VARIABLE_26686)))) (@ _let_1 BOUND_VARIABLE_26687))))))) (let ((_let_1491 (forall ((BOUND_VARIABLE_26674 tptp.set_Pr79606376n_game) (BOUND_VARIABLE_26675 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_26676 (-> tptp.char tptp.option_game))) (= (@ (@ tptp.member849814089n_game (@ (@ tptp.produc123610156n_game BOUND_VARIABLE_26675) BOUND_VARIABLE_26676)) BOUND_VARIABLE_26674) (ll_215 BOUND_VARIABLE_26674 BOUND_VARIABLE_26675 BOUND_VARIABLE_26676))))) (let ((_let_1492 (forall ((BOUND_VARIABLE_26663 tptp.set_Pr79606376n_game) (BOUND_VARIABLE_26664 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_26665 (-> tptp.char tptp.option_game))) (= (@ (@ tptp.member849814089n_game (@ (@ tptp.produc123610156n_game BOUND_VARIABLE_26664) BOUND_VARIABLE_26665)) BOUND_VARIABLE_26663) (ll_214 BOUND_VARIABLE_26663 BOUND_VARIABLE_26664 BOUND_VARIABLE_26665))))) (let ((_let_1493 (forall ((BOUND_VARIABLE_26649 tptp.set_Pr79606376n_game) (BOUND_VARIABLE_26650 tptp.set_Pr79606376n_game) (BOUND_VARIABLE_26651 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_26652 (-> tptp.char tptp.option_game))) (= (@ (@ tptp.member849814089n_game (@ (@ tptp.produc123610156n_game BOUND_VARIABLE_26651) BOUND_VARIABLE_26652)) (@ (@ tptp.inf_in1391117306n_game BOUND_VARIABLE_26649) BOUND_VARIABLE_26650)) (ll_213 BOUND_VARIABLE_26649 BOUND_VARIABLE_26650 BOUND_VARIABLE_26651 BOUND_VARIABLE_26652))))) (let ((_let_1494 (forall ((BOUND_VARIABLE_26638 tptp.set_Pr739694057n_game) (BOUND_VARIABLE_26639 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_26640 tptp.produc799602994n_game)) (= (@ (@ tptp.member774167626n_game (@ (@ tptp.produc1048060077n_game BOUND_VARIABLE_26639) BOUND_VARIABLE_26640)) BOUND_VARIABLE_26638) (ll_212 BOUND_VARIABLE_26638 BOUND_VARIABLE_26639 BOUND_VARIABLE_26640))))) (let ((_let_1495 (forall ((BOUND_VARIABLE_26627 tptp.set_Pr739694057n_game) (BOUND_VARIABLE_26628 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_26629 tptp.produc799602994n_game)) (= (@ (@ tptp.member774167626n_game (@ (@ tptp.produc1048060077n_game BOUND_VARIABLE_26628) BOUND_VARIABLE_26629)) BOUND_VARIABLE_26627) (ll_211 BOUND_VARIABLE_26627 BOUND_VARIABLE_26628 BOUND_VARIABLE_26629))))) (let ((_let_1496 (forall ((BOUND_VARIABLE_26613 tptp.set_Pr739694057n_game) (BOUND_VARIABLE_26614 tptp.set_Pr739694057n_game) (BOUND_VARIABLE_26615 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_26616 tptp.produc799602994n_game)) (= (@ (@ tptp.member774167626n_game (@ (@ tptp.produc1048060077n_game BOUND_VARIABLE_26615) BOUND_VARIABLE_26616)) (@ (@ tptp.inf_in69689467n_game BOUND_VARIABLE_26613) BOUND_VARIABLE_26614)) (ll_210 BOUND_VARIABLE_26613 BOUND_VARIABLE_26614 BOUND_VARIABLE_26615 BOUND_VARIABLE_26616))))) (let ((_let_1497 (forall ((BOUND_VARIABLE_26602 tptp.set_Pr720454634n_game) (BOUND_VARIABLE_26603 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_26604 tptp.produc62062515n_game)) (= (@ (@ tptp.member1940201675n_game (@ (@ tptp.produc1618635950n_game BOUND_VARIABLE_26603) BOUND_VARIABLE_26604)) BOUND_VARIABLE_26602) (ll_209 BOUND_VARIABLE_26602 BOUND_VARIABLE_26603 BOUND_VARIABLE_26604))))) (let ((_let_1498 (forall ((BOUND_VARIABLE_26591 tptp.set_Pr720454634n_game) (BOUND_VARIABLE_26592 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_26593 tptp.produc62062515n_game)) (= (@ (@ tptp.member1940201675n_game (@ (@ tptp.produc1618635950n_game BOUND_VARIABLE_26592) BOUND_VARIABLE_26593)) BOUND_VARIABLE_26591) (ll_208 BOUND_VARIABLE_26591 BOUND_VARIABLE_26592 BOUND_VARIABLE_26593))))) (let ((_let_1499 (forall ((BOUND_VARIABLE_26577 tptp.set_Pr720454634n_game) (BOUND_VARIABLE_26578 tptp.set_Pr720454634n_game) (BOUND_VARIABLE_26579 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_26580 tptp.produc62062515n_game)) (= (@ (@ tptp.member1940201675n_game (@ (@ tptp.produc1618635950n_game BOUND_VARIABLE_26579) BOUND_VARIABLE_26580)) (@ (@ tptp.inf_in360367996n_game BOUND_VARIABLE_26577) BOUND_VARIABLE_26578)) (ll_207 BOUND_VARIABLE_26577 BOUND_VARIABLE_26578 BOUND_VARIABLE_26579 BOUND_VARIABLE_26580))))) (let ((_let_1500 (forall ((BOUND_VARIABLE_26566 tptp.set_Pr1235432374le_trm) (BOUND_VARIABLE_26567 tptp.set_variable) (BOUND_VARIABLE_26568 tptp.trm)) (= (@ (@ tptp.member2122665623le_trm (@ (@ tptp.produc1482344242le_trm BOUND_VARIABLE_26567) BOUND_VARIABLE_26568)) BOUND_VARIABLE_26566) (ll_206 BOUND_VARIABLE_26566 BOUND_VARIABLE_26567 BOUND_VARIABLE_26568))))) (let ((_let_1501 (forall ((BOUND_VARIABLE_26555 tptp.set_Pr1235432374le_trm) (BOUND_VARIABLE_26556 tptp.set_variable) (BOUND_VARIABLE_26557 tptp.trm)) (= (@ (@ tptp.member2122665623le_trm (@ (@ tptp.produc1482344242le_trm BOUND_VARIABLE_26556) BOUND_VARIABLE_26557)) BOUND_VARIABLE_26555) (ll_205 BOUND_VARIABLE_26555 BOUND_VARIABLE_26556 BOUND_VARIABLE_26557))))) (let ((_let_1502 (forall ((BOUND_VARIABLE_26541 tptp.set_Pr1235432374le_trm) (BOUND_VARIABLE_26542 tptp.set_Pr1235432374le_trm) (BOUND_VARIABLE_26543 tptp.set_variable) (BOUND_VARIABLE_26544 tptp.trm)) (= (@ (@ tptp.member2122665623le_trm (@ (@ tptp.produc1482344242le_trm BOUND_VARIABLE_26543) BOUND_VARIABLE_26544)) (@ (@ tptp.inf_in906025800le_trm BOUND_VARIABLE_26541) BOUND_VARIABLE_26542)) (ll_204 BOUND_VARIABLE_26541 BOUND_VARIABLE_26542 BOUND_VARIABLE_26543 BOUND_VARIABLE_26544))))) (let ((_let_1503 (forall ((BOUND_VARIABLE_26530 tptp.set_Pr943832262on_trm) (BOUND_VARIABLE_26531 tptp.char) (BOUND_VARIABLE_26532 tptp.option_trm)) (= (@ (@ tptp.member694524327on_trm (@ (@ tptp.produc1500300866on_trm BOUND_VARIABLE_26531) BOUND_VARIABLE_26532)) BOUND_VARIABLE_26530) (ll_203 BOUND_VARIABLE_26530 BOUND_VARIABLE_26531 BOUND_VARIABLE_26532))))) (let ((_let_1504 (forall ((BOUND_VARIABLE_26519 tptp.set_Pr943832262on_trm) (BOUND_VARIABLE_26520 tptp.char) (BOUND_VARIABLE_26521 tptp.option_trm)) (= (@ (@ tptp.member694524327on_trm (@ (@ tptp.produc1500300866on_trm BOUND_VARIABLE_26520) BOUND_VARIABLE_26521)) BOUND_VARIABLE_26519) (ll_202 BOUND_VARIABLE_26519 BOUND_VARIABLE_26520 BOUND_VARIABLE_26521))))) (let ((_let_1505 (forall ((BOUND_VARIABLE_26505 tptp.set_Pr943832262on_trm) (BOUND_VARIABLE_26506 tptp.set_Pr943832262on_trm) (BOUND_VARIABLE_26507 tptp.char) (BOUND_VARIABLE_26508 tptp.option_trm)) (= (@ (@ tptp.member694524327on_trm (@ (@ tptp.produc1500300866on_trm BOUND_VARIABLE_26507) BOUND_VARIABLE_26508)) (@ (@ tptp.inf_in1243659096on_trm BOUND_VARIABLE_26505) BOUND_VARIABLE_26506)) (ll_201 BOUND_VARIABLE_26505 BOUND_VARIABLE_26506 BOUND_VARIABLE_26507 BOUND_VARIABLE_26508))))) (let ((_let_1506 (forall ((BOUND_VARIABLE_26478 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml)) (BOUND_VARIABLE_26479 tptp.produc799602994n_game) (BOUND_VARIABLE_26480 tptp.char)) (= (ll_200 BOUND_VARIABLE_26478 BOUND_VARIABLE_26479 BOUND_VARIABLE_26480) (@ (@ tptp.produc347802313on_fml (@ (@ ll_338 BOUND_VARIABLE_26478) BOUND_VARIABLE_26480)) BOUND_VARIABLE_26479))))) (let ((_let_1507 (forall ((BOUND_VARIABLE_26451 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm)) (BOUND_VARIABLE_26452 tptp.produc799602994n_game) (BOUND_VARIABLE_26453 tptp.char)) (= (ll_199 BOUND_VARIABLE_26451 BOUND_VARIABLE_26452 BOUND_VARIABLE_26453) (@ (@ tptp.produc885547027on_trm (@ (@ ll_337 BOUND_VARIABLE_26451) BOUND_VARIABLE_26453)) BOUND_VARIABLE_26452))))) (let ((_let_1508 (forall ((BOUND_VARIABLE_26424 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_26425 tptp.produc62062515n_game) (BOUND_VARIABLE_26426 tptp.char)) (= (ll_198 BOUND_VARIABLE_26424 BOUND_VARIABLE_26425 BOUND_VARIABLE_26426) (@ (@ tptp.produc154833544on_fml (@ (@ ll_336 BOUND_VARIABLE_26424) BOUND_VARIABLE_26426)) BOUND_VARIABLE_26425))))) (let ((_let_1509 (forall ((BOUND_VARIABLE_26397 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm)) (BOUND_VARIABLE_26398 tptp.produc62062515n_game) (BOUND_VARIABLE_26399 tptp.char)) (= (ll_197 BOUND_VARIABLE_26397 BOUND_VARIABLE_26398 BOUND_VARIABLE_26399) (@ (@ tptp.produc692578258on_trm (@ (@ ll_335 BOUND_VARIABLE_26397) BOUND_VARIABLE_26399)) BOUND_VARIABLE_26398))))) (let ((_let_1510 (forall ((BOUND_VARIABLE_26370 (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_26371 tptp.produc1418842292n_game) (BOUND_VARIABLE_26372 tptp.char)) (= (ll_196 BOUND_VARIABLE_26370 BOUND_VARIABLE_26371 BOUND_VARIABLE_26372) (@ (@ tptp.produc1499310791on_fml (@ (@ ll_334 BOUND_VARIABLE_26370) BOUND_VARIABLE_26372)) BOUND_VARIABLE_26371))))) (let ((_let_1511 (forall ((BOUND_VARIABLE_26344 (-> tptp.produc799602994n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_26345 tptp.produc799602994n_game) (BOUND_VARIABLE_26346 tptp.char)) (= (ll_195 BOUND_VARIABLE_26344 BOUND_VARIABLE_26345 BOUND_VARIABLE_26346) (@ (@ tptp.produc347802313on_fml (@ (@ ll_333 BOUND_VARIABLE_26344) BOUND_VARIABLE_26346)) BOUND_VARIABLE_26345))))) (let ((_let_1512 (forall ((BOUND_VARIABLE_26318 (-> tptp.produc799602994n_game tptp.char tptp.option_trm)) (BOUND_VARIABLE_26319 tptp.produc799602994n_game) (BOUND_VARIABLE_26320 tptp.char)) (= (ll_194 BOUND_VARIABLE_26318 BOUND_VARIABLE_26319 BOUND_VARIABLE_26320) (@ (@ tptp.produc885547027on_trm (@ (@ ll_332 BOUND_VARIABLE_26318) BOUND_VARIABLE_26320)) BOUND_VARIABLE_26319))))) (let ((_let_1513 (forall ((BOUND_VARIABLE_26292 (-> tptp.produc62062515n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_26293 tptp.produc62062515n_game) (BOUND_VARIABLE_26294 tptp.char)) (= (ll_193 BOUND_VARIABLE_26292 BOUND_VARIABLE_26293 BOUND_VARIABLE_26294) (@ (@ tptp.produc154833544on_fml (@ (@ ll_331 BOUND_VARIABLE_26292) BOUND_VARIABLE_26294)) BOUND_VARIABLE_26293))))) (let ((_let_1514 (forall ((BOUND_VARIABLE_26266 (-> tptp.produc62062515n_game tptp.char tptp.option_trm)) (BOUND_VARIABLE_26267 tptp.produc62062515n_game) (BOUND_VARIABLE_26268 tptp.char)) (= (ll_192 BOUND_VARIABLE_26266 BOUND_VARIABLE_26267 BOUND_VARIABLE_26268) (@ (@ tptp.produc692578258on_trm (@ (@ ll_330 BOUND_VARIABLE_26266) BOUND_VARIABLE_26268)) BOUND_VARIABLE_26267))))) (let ((_let_1515 (forall ((BOUND_VARIABLE_26240 (-> tptp.produc1418842292n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_26241 tptp.produc1418842292n_game) (BOUND_VARIABLE_26242 tptp.char)) (= (ll_191 BOUND_VARIABLE_26240 BOUND_VARIABLE_26241 BOUND_VARIABLE_26242) (@ (@ tptp.produc1499310791on_fml (@ (@ ll_329 BOUND_VARIABLE_26240) BOUND_VARIABLE_26242)) BOUND_VARIABLE_26241))))) (let ((_let_1516 (forall ((BOUND_VARIABLE_26213 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml)) (BOUND_VARIABLE_26214 tptp.produc799602994n_game) (BOUND_VARIABLE_26215 tptp.char)) (= (ll_190 BOUND_VARIABLE_26213 BOUND_VARIABLE_26214 BOUND_VARIABLE_26215) (@ (@ tptp.produc347802313on_fml (@ (@ ll_328 BOUND_VARIABLE_26213) BOUND_VARIABLE_26215)) BOUND_VARIABLE_26214))))) (let ((_let_1517 (forall ((BOUND_VARIABLE_26186 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm)) (BOUND_VARIABLE_26187 tptp.produc799602994n_game) (BOUND_VARIABLE_26188 tptp.char)) (= (ll_189 BOUND_VARIABLE_26186 BOUND_VARIABLE_26187 BOUND_VARIABLE_26188) (@ (@ tptp.produc885547027on_trm (@ (@ ll_327 BOUND_VARIABLE_26186) BOUND_VARIABLE_26188)) BOUND_VARIABLE_26187))))) (let ((_let_1518 (forall ((BOUND_VARIABLE_26159 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_26160 tptp.produc62062515n_game) (BOUND_VARIABLE_26161 tptp.char)) (= (ll_188 BOUND_VARIABLE_26159 BOUND_VARIABLE_26160 BOUND_VARIABLE_26161) (@ (@ tptp.produc154833544on_fml (@ (@ ll_326 BOUND_VARIABLE_26159) BOUND_VARIABLE_26161)) BOUND_VARIABLE_26160))))) (let ((_let_1519 (forall ((BOUND_VARIABLE_26132 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm)) (BOUND_VARIABLE_26133 tptp.produc62062515n_game) (BOUND_VARIABLE_26134 tptp.char)) (= (ll_187 BOUND_VARIABLE_26132 BOUND_VARIABLE_26133 BOUND_VARIABLE_26134) (@ (@ tptp.produc692578258on_trm (@ (@ ll_325 BOUND_VARIABLE_26132) BOUND_VARIABLE_26134)) BOUND_VARIABLE_26133))))) (let ((_let_1520 (forall ((BOUND_VARIABLE_26105 (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_26106 tptp.produc1418842292n_game) (BOUND_VARIABLE_26107 tptp.char)) (= (ll_186 BOUND_VARIABLE_26105 BOUND_VARIABLE_26106 BOUND_VARIABLE_26107) (@ (@ tptp.produc1499310791on_fml (@ (@ ll_324 BOUND_VARIABLE_26105) BOUND_VARIABLE_26107)) BOUND_VARIABLE_26106))))) (let ((_let_1521 (forall ((BOUND_VARIABLE_26075 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml)) (BOUND_VARIABLE_26076 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_26077 (-> tptp.char tptp.option_game)) (BOUND_VARIABLE_26078 tptp.char)) (= (ll_185 BOUND_VARIABLE_26075 BOUND_VARIABLE_26076 BOUND_VARIABLE_26077 BOUND_VARIABLE_26078) (@ (@ tptp.produc347802313on_fml (@ (@ ll_323 BOUND_VARIABLE_26075) BOUND_VARIABLE_26078)) (@ (@ tptp.produc123610156n_game BOUND_VARIABLE_26076) BOUND_VARIABLE_26077)))))) (let ((_let_1522 (forall ((BOUND_VARIABLE_26045 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm)) (BOUND_VARIABLE_26046 (-> tptp.char tptp.option_fml)) (BOUND_VARIABLE_26047 (-> tptp.char tptp.option_game)) (BOUND_VARIABLE_26048 tptp.char)) (= (ll_184 BOUND_VARIABLE_26045 BOUND_VARIABLE_26046 BOUND_VARIABLE_26047 BOUND_VARIABLE_26048) (@ (@ tptp.produc885547027on_trm (@ (@ ll_322 BOUND_VARIABLE_26045) BOUND_VARIABLE_26048)) (@ (@ tptp.produc123610156n_game BOUND_VARIABLE_26046) BOUND_VARIABLE_26047)))))) (let ((_let_1523 (forall ((BOUND_VARIABLE_26015 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_26016 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_26017 tptp.produc799602994n_game) (BOUND_VARIABLE_26018 tptp.char)) (= (ll_183 BOUND_VARIABLE_26015 BOUND_VARIABLE_26016 BOUND_VARIABLE_26017 BOUND_VARIABLE_26018) (@ (@ tptp.produc154833544on_fml (@ (@ ll_321 BOUND_VARIABLE_26015) BOUND_VARIABLE_26018)) (@ (@ tptp.produc1048060077n_game BOUND_VARIABLE_26016) BOUND_VARIABLE_26017)))))) (let ((_let_1524 (forall ((BOUND_VARIABLE_25985 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm)) (BOUND_VARIABLE_25986 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_25987 tptp.produc799602994n_game) (BOUND_VARIABLE_25988 tptp.char)) (= (ll_182 BOUND_VARIABLE_25985 BOUND_VARIABLE_25986 BOUND_VARIABLE_25987 BOUND_VARIABLE_25988) (@ (@ tptp.produc692578258on_trm (@ (@ ll_320 BOUND_VARIABLE_25985) BOUND_VARIABLE_25988)) (@ (@ tptp.produc1048060077n_game BOUND_VARIABLE_25986) BOUND_VARIABLE_25987)))))) (let ((_let_1525 (forall ((BOUND_VARIABLE_25955 (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_25956 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_25957 tptp.produc62062515n_game) (BOUND_VARIABLE_25958 tptp.char)) (= (ll_181 BOUND_VARIABLE_25955 BOUND_VARIABLE_25956 BOUND_VARIABLE_25957 BOUND_VARIABLE_25958) (@ (@ tptp.produc1499310791on_fml (@ (@ ll_319 BOUND_VARIABLE_25955) BOUND_VARIABLE_25958)) (@ (@ tptp.produc1618635950n_game BOUND_VARIABLE_25956) BOUND_VARIABLE_25957)))))) (let ((_let_1526 (forall ((BOUND_VARIABLE_25950 tptp.char)) (ll_180 BOUND_VARIABLE_25950)))) (let ((_let_1527 (forall ((BOUND_VARIABLE_25926 tptp.produc1418842292n_game) (BOUND_VARIABLE_25927 tptp.char) (BOUND_VARIABLE_25928 tptp.set_variable) (BOUND_VARIABLE_25929 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_25929))) (= (ll_179 BOUND_VARIABLE_25926 BOUND_VARIABLE_25927 BOUND_VARIABLE_25928 BOUND_VARIABLE_25929) (and (@ _let_1 (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm ll_8) BOUND_VARIABLE_25926) BOUND_VARIABLE_25927)))) (@ _let_1 BOUND_VARIABLE_25928))))))) (let ((_let_1528 (forall ((BOUND_VARIABLE_25902 tptp.produc1418842292n_game) (BOUND_VARIABLE_25903 tptp.char) (BOUND_VARIABLE_25904 tptp.set_variable) (BOUND_VARIABLE_25905 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_25905))) (= (ll_178 BOUND_VARIABLE_25902 BOUND_VARIABLE_25903 BOUND_VARIABLE_25904 BOUND_VARIABLE_25905) (and (@ _let_1 (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm ll_176) BOUND_VARIABLE_25902) BOUND_VARIABLE_25903)))) (@ _let_1 BOUND_VARIABLE_25904))))))) (let ((_let_1529 (forall ((BOUND_VARIABLE_25885 tptp.produc1418842292n_game) (BOUND_VARIABLE_25886 tptp.set_variable) (BOUND_VARIABLE_25887 tptp.trm) (BOUND_VARIABLE_25888 tptp.char)) (= (ll_177 BOUND_VARIABLE_25885 BOUND_VARIABLE_25886 BOUND_VARIABLE_25887 BOUND_VARIABLE_25888) (@ (@ (@ tptp.if_option_trm (= (@ (@ (@ (@ (@ (@ (@ (@ tptp.char2 false) true) true) true) false) true) false) false) BOUND_VARIABLE_25888)) (@ tptp.some_trm (@ tptp.the_trm (@ (@ (@ tptp.uSubst516392818stappt BOUND_VARIABLE_25885) BOUND_VARIABLE_25886) BOUND_VARIABLE_25887)))) tptp.none_trm))))) (let ((_let_1530 (forall ((BOUND_VARIABLE_25858 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_25859 tptp.produc62062515n_game) (BOUND_VARIABLE_25860 tptp.char)) (= (ll_176 BOUND_VARIABLE_25858 BOUND_VARIABLE_25859 BOUND_VARIABLE_25860) (@ (@ tptp.produc692578258on_trm (@ ll_318 BOUND_VARIABLE_25860)) BOUND_VARIABLE_25859))))) (let ((_let_1531 (forall ((BOUND_VARIABLE_25828 (-> tptp.game tptp.game tptp.game)) (BOUND_VARIABLE_25829 tptp.game) (BOUND_VARIABLE_25830 tptp.game)) (= (ll_175 BOUND_VARIABLE_25828 BOUND_VARIABLE_25829 BOUND_VARIABLE_25830) (@ (@ (@ tptp.case_o696458451e_game (@ tptp.some_game BOUND_VARIABLE_25830)) (@ (@ ll_317 BOUND_VARIABLE_25828) BOUND_VARIABLE_25830)) (@ tptp.some_game BOUND_VARIABLE_25829)))))) (let ((_let_1532 (forall ((BOUND_VARIABLE_25798 (-> tptp.fml tptp.fml tptp.fml)) (BOUND_VARIABLE_25799 tptp.fml) (BOUND_VARIABLE_25800 tptp.fml)) (= (ll_174 BOUND_VARIABLE_25798 BOUND_VARIABLE_25799 BOUND_VARIABLE_25800) (@ (@ (@ tptp.case_o209804997ml_fml (@ tptp.some_fml BOUND_VARIABLE_25800)) (@ (@ ll_316 BOUND_VARIABLE_25798) BOUND_VARIABLE_25800)) (@ tptp.some_fml BOUND_VARIABLE_25799)))))) (let ((_let_1533 (forall ((BOUND_VARIABLE_25769 (-> tptp.game tptp.game tptp.game)) (BOUND_VARIABLE_25770 tptp.option_game) (BOUND_VARIABLE_25771 tptp.game)) (= (ll_173 BOUND_VARIABLE_25769 BOUND_VARIABLE_25770 BOUND_VARIABLE_25771) (@ (@ (@ tptp.case_o696458451e_game (@ tptp.some_game BOUND_VARIABLE_25771)) (@ (@ ll_315 BOUND_VARIABLE_25769) BOUND_VARIABLE_25771)) BOUND_VARIABLE_25770))))) (let ((_let_1534 (forall ((BOUND_VARIABLE_25740 (-> tptp.fml tptp.fml tptp.fml)) (BOUND_VARIABLE_25741 tptp.option_fml) (BOUND_VARIABLE_25742 tptp.fml)) (= (ll_172 BOUND_VARIABLE_25740 BOUND_VARIABLE_25741 BOUND_VARIABLE_25742) (@ (@ (@ tptp.case_o209804997ml_fml (@ tptp.some_fml BOUND_VARIABLE_25742)) (@ (@ ll_314 BOUND_VARIABLE_25740) BOUND_VARIABLE_25742)) BOUND_VARIABLE_25741))))) (let ((_let_1535 (forall ((BOUND_VARIABLE_25712 (-> tptp.game tptp.game tptp.game)) (BOUND_VARIABLE_25713 tptp.game)) (= (ll_171 BOUND_VARIABLE_25712 BOUND_VARIABLE_25713) (@ (@ (@ tptp.case_o696458451e_game (@ tptp.some_game BOUND_VARIABLE_25713)) (@ (@ ll_313 BOUND_VARIABLE_25712) BOUND_VARIABLE_25713)) tptp.none_game))))) (let ((_let_1536 (forall ((BOUND_VARIABLE_25684 (-> tptp.fml tptp.fml tptp.fml)) (BOUND_VARIABLE_25685 tptp.fml)) (= (ll_170 BOUND_VARIABLE_25684 BOUND_VARIABLE_25685) (@ (@ (@ tptp.case_o209804997ml_fml (@ tptp.some_fml BOUND_VARIABLE_25685)) (@ (@ ll_312 BOUND_VARIABLE_25684) BOUND_VARIABLE_25685)) tptp.none_fml))))) (let ((_let_1537 (forall ((BOUND_VARIABLE_25657 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_25658 tptp.produc62062515n_game) (BOUND_VARIABLE_25659 tptp.char)) (= (ll_169 BOUND_VARIABLE_25657 BOUND_VARIABLE_25658 BOUND_VARIABLE_25659) (@ (@ tptp.produc692578258on_trm (@ ll_311 BOUND_VARIABLE_25659)) BOUND_VARIABLE_25658))))) (let ((_let_1538 (forall ((BOUND_VARIABLE_25645 tptp.trm) (BOUND_VARIABLE_25646 tptp.set_variable) (BOUND_VARIABLE_25647 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_25647))) (= (and (@ _let_1 (@ tptp.static_FVT BOUND_VARIABLE_25645)) (@ _let_1 BOUND_VARIABLE_25646)) (ll_168 BOUND_VARIABLE_25645 BOUND_VARIABLE_25646 BOUND_VARIABLE_25647)))))) (let ((_let_1539 (forall ((BOUND_VARIABLE_25634 tptp.trm) (BOUND_VARIABLE_25635 tptp.char)) (= (ll_167 BOUND_VARIABLE_25634 BOUND_VARIABLE_25635) (@ (@ (@ tptp.if_option_trm (= (@ (@ (@ (@ (@ (@ (@ (@ tptp.char2 false) true) true) true) false) true) false) false) BOUND_VARIABLE_25635)) (@ tptp.some_trm BOUND_VARIABLE_25634)) tptp.none_trm))))) (let ((_let_1540 (forall ((BOUND_VARIABLE_25610 tptp.produc1418842292n_game) (BOUND_VARIABLE_25611 tptp.char) (BOUND_VARIABLE_25612 tptp.set_variable) (BOUND_VARIABLE_25613 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_25613))) (= (ll_166 BOUND_VARIABLE_25610 BOUND_VARIABLE_25611 BOUND_VARIABLE_25612 BOUND_VARIABLE_25613) (and (@ _let_1 (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm ll_8) BOUND_VARIABLE_25610) BOUND_VARIABLE_25611)))) (@ _let_1 BOUND_VARIABLE_25612))))))) (let ((_let_1541 (forall ((BOUND_VARIABLE_25586 tptp.produc1418842292n_game) (BOUND_VARIABLE_25587 tptp.char) (BOUND_VARIABLE_25588 tptp.set_variable) (BOUND_VARIABLE_25589 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_25589))) (= (ll_165 BOUND_VARIABLE_25586 BOUND_VARIABLE_25587 BOUND_VARIABLE_25588 BOUND_VARIABLE_25589) (and (@ _let_1 (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm ll_163) BOUND_VARIABLE_25586) BOUND_VARIABLE_25587)))) (@ _let_1 BOUND_VARIABLE_25588))))))) (let ((_let_1542 (forall ((BOUND_VARIABLE_25569 tptp.set_variable) (BOUND_VARIABLE_25570 tptp.produc1418842292n_game) (BOUND_VARIABLE_25571 tptp.trm) (BOUND_VARIABLE_25572 tptp.char)) (= (ll_164 BOUND_VARIABLE_25569 BOUND_VARIABLE_25570 BOUND_VARIABLE_25571 BOUND_VARIABLE_25572) (@ (@ (@ tptp.if_option_trm (= (@ (@ (@ (@ (@ (@ (@ (@ tptp.char2 false) true) true) true) false) true) false) false) BOUND_VARIABLE_25572)) (@ tptp.some_trm (@ tptp.the_trm (@ (@ (@ tptp.uSubst516392818stappt BOUND_VARIABLE_25570) BOUND_VARIABLE_25569) BOUND_VARIABLE_25571)))) tptp.none_trm))))) (let ((_let_1543 (forall ((BOUND_VARIABLE_25542 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_25543 tptp.produc62062515n_game) (BOUND_VARIABLE_25544 tptp.char)) (= (ll_163 BOUND_VARIABLE_25542 BOUND_VARIABLE_25543 BOUND_VARIABLE_25544) (@ (@ tptp.produc692578258on_trm (@ ll_310 BOUND_VARIABLE_25544)) BOUND_VARIABLE_25543))))) (let ((_let_1544 (forall ((BOUND_VARIABLE_25537 tptp.variable)) (ll_162 BOUND_VARIABLE_25537)))) (let ((_let_1545 (forall ((BOUND_VARIABLE_25530 tptp.variable)) (= (@ (@ tptp.member_variable BOUND_VARIABLE_25530) (@ tptp.collect_variable tptp.bot_bot_variable_o)) (ll_161 BOUND_VARIABLE_25530))))) (let ((_let_1546 (forall ((BOUND_VARIABLE_25523 tptp.char)) (= (@ (@ tptp.member_char BOUND_VARIABLE_25523) (@ tptp.collect_char tptp.bot_bot_char_o)) (ll_160 BOUND_VARIABLE_25523))))) (let ((_let_1547 (forall ((BOUND_VARIABLE_25515 tptp.set_variable) (BOUND_VARIABLE_25516 tptp.variable)) (= (@ (@ tptp.member_variable BOUND_VARIABLE_25516) BOUND_VARIABLE_25515) (ll_159 BOUND_VARIABLE_25515 BOUND_VARIABLE_25516))))) (let ((_let_1548 (forall ((BOUND_VARIABLE_25507 tptp.set_variable) (BOUND_VARIABLE_25508 tptp.variable)) (= (@ (@ tptp.member_variable BOUND_VARIABLE_25508) BOUND_VARIABLE_25507) (ll_158 BOUND_VARIABLE_25507 BOUND_VARIABLE_25508))))) (let ((_let_1549 (forall ((BOUND_VARIABLE_25479 tptp.set_variable) (BOUND_VARIABLE_25480 tptp.set_variable) (BOUND_VARIABLE_25481 tptp.variable)) (= (ll_157 BOUND_VARIABLE_25479 BOUND_VARIABLE_25480 BOUND_VARIABLE_25481) (@ (@ tptp.member_variable BOUND_VARIABLE_25481) (@ tptp.collect_variable (@ (@ ll_309 BOUND_VARIABLE_25479) BOUND_VARIABLE_25480))))))) (let ((_let_1550 (forall ((BOUND_VARIABLE_25471 tptp.set_char) (BOUND_VARIABLE_25472 tptp.char)) (= (@ (@ tptp.member_char BOUND_VARIABLE_25472) BOUND_VARIABLE_25471) (ll_156 BOUND_VARIABLE_25471 BOUND_VARIABLE_25472))))) (let ((_let_1551 (forall ((BOUND_VARIABLE_25463 tptp.set_char) (BOUND_VARIABLE_25464 tptp.char)) (= (@ (@ tptp.member_char BOUND_VARIABLE_25464) BOUND_VARIABLE_25463) (ll_155 BOUND_VARIABLE_25463 BOUND_VARIABLE_25464))))) (let ((_let_1552 (forall ((BOUND_VARIABLE_25435 tptp.set_char) (BOUND_VARIABLE_25436 tptp.set_char) (BOUND_VARIABLE_25437 tptp.char)) (= (ll_154 BOUND_VARIABLE_25435 BOUND_VARIABLE_25436 BOUND_VARIABLE_25437) (@ (@ tptp.member_char BOUND_VARIABLE_25437) (@ tptp.collect_char (@ (@ ll_308 BOUND_VARIABLE_25435) BOUND_VARIABLE_25436))))))) (let ((_let_1553 (forall ((BOUND_VARIABLE_25408 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml)) (BOUND_VARIABLE_25409 tptp.produc799602994n_game) (BOUND_VARIABLE_25410 tptp.char)) (= (ll_153 BOUND_VARIABLE_25408 BOUND_VARIABLE_25409 BOUND_VARIABLE_25410) (@ (@ tptp.produc347802313on_fml (@ (@ ll_307 BOUND_VARIABLE_25408) BOUND_VARIABLE_25410)) BOUND_VARIABLE_25409))))) (let ((_let_1554 (forall ((BOUND_VARIABLE_25375 (-> (-> tptp.char tptp.option_fml) tptp.char tptp.option_fml)) (BOUND_VARIABLE_25376 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml)) (BOUND_VARIABLE_25377 tptp.produc799602994n_game) (BOUND_VARIABLE_25378 tptp.char)) (= (ll_152 BOUND_VARIABLE_25375 BOUND_VARIABLE_25376 BOUND_VARIABLE_25377 BOUND_VARIABLE_25378) (@ (@ tptp.produc347802313on_fml (@ (@ (@ ll_306 BOUND_VARIABLE_25375) BOUND_VARIABLE_25376) BOUND_VARIABLE_25378)) BOUND_VARIABLE_25377))))) (let ((_let_1555 (forall ((BOUND_VARIABLE_25347 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml)) (BOUND_VARIABLE_25348 tptp.produc799602994n_game) (BOUND_VARIABLE_25349 tptp.char)) (= (ll_151 BOUND_VARIABLE_25347 BOUND_VARIABLE_25348 BOUND_VARIABLE_25349) (@ (@ tptp.produc347802313on_fml (@ (@ ll_305 BOUND_VARIABLE_25347) BOUND_VARIABLE_25349)) BOUND_VARIABLE_25348))))) (let ((_let_1556 (forall ((BOUND_VARIABLE_25314 (-> (-> tptp.char tptp.option_fml) tptp.char tptp.option_trm)) (BOUND_VARIABLE_25315 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml)) (BOUND_VARIABLE_25316 tptp.produc799602994n_game) (BOUND_VARIABLE_25317 tptp.char)) (= (ll_150 BOUND_VARIABLE_25314 BOUND_VARIABLE_25315 BOUND_VARIABLE_25316 BOUND_VARIABLE_25317) (@ (@ tptp.produc885547027on_trm (@ (@ (@ ll_304 BOUND_VARIABLE_25314) BOUND_VARIABLE_25315) BOUND_VARIABLE_25317)) BOUND_VARIABLE_25316))))) (let ((_let_1557 (forall ((BOUND_VARIABLE_25287 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm)) (BOUND_VARIABLE_25288 tptp.produc799602994n_game) (BOUND_VARIABLE_25289 tptp.char)) (= (ll_149 BOUND_VARIABLE_25287 BOUND_VARIABLE_25288 BOUND_VARIABLE_25289) (@ (@ tptp.produc885547027on_trm (@ (@ ll_303 BOUND_VARIABLE_25287) BOUND_VARIABLE_25289)) BOUND_VARIABLE_25288))))) (let ((_let_1558 (forall ((BOUND_VARIABLE_25254 (-> (-> tptp.char tptp.option_trm) tptp.char tptp.option_fml)) (BOUND_VARIABLE_25255 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm)) (BOUND_VARIABLE_25256 tptp.produc799602994n_game) (BOUND_VARIABLE_25257 tptp.char)) (= (ll_148 BOUND_VARIABLE_25254 BOUND_VARIABLE_25255 BOUND_VARIABLE_25256 BOUND_VARIABLE_25257) (@ (@ tptp.produc347802313on_fml (@ (@ (@ ll_302 BOUND_VARIABLE_25254) BOUND_VARIABLE_25255) BOUND_VARIABLE_25257)) BOUND_VARIABLE_25256))))) (let ((_let_1559 (forall ((BOUND_VARIABLE_25226 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm)) (BOUND_VARIABLE_25227 tptp.produc799602994n_game) (BOUND_VARIABLE_25228 tptp.char)) (= (ll_147 BOUND_VARIABLE_25226 BOUND_VARIABLE_25227 BOUND_VARIABLE_25228) (@ (@ tptp.produc885547027on_trm (@ (@ ll_301 BOUND_VARIABLE_25226) BOUND_VARIABLE_25228)) BOUND_VARIABLE_25227))))) (let ((_let_1560 (forall ((BOUND_VARIABLE_25193 (-> (-> tptp.char tptp.option_trm) tptp.char tptp.option_trm)) (BOUND_VARIABLE_25194 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm)) (BOUND_VARIABLE_25195 tptp.produc799602994n_game) (BOUND_VARIABLE_25196 tptp.char)) (= (ll_146 BOUND_VARIABLE_25193 BOUND_VARIABLE_25194 BOUND_VARIABLE_25195 BOUND_VARIABLE_25196) (@ (@ tptp.produc885547027on_trm (@ (@ (@ ll_300 BOUND_VARIABLE_25193) BOUND_VARIABLE_25194) BOUND_VARIABLE_25196)) BOUND_VARIABLE_25195))))) (let ((_let_1561 (forall ((BOUND_VARIABLE_25166 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_25167 tptp.produc62062515n_game) (BOUND_VARIABLE_25168 tptp.char)) (= (ll_145 BOUND_VARIABLE_25166 BOUND_VARIABLE_25167 BOUND_VARIABLE_25168) (@ (@ tptp.produc154833544on_fml (@ (@ ll_299 BOUND_VARIABLE_25166) BOUND_VARIABLE_25168)) BOUND_VARIABLE_25167))))) (let ((_let_1562 (forall ((BOUND_VARIABLE_25133 (-> (-> tptp.char tptp.option_fml) tptp.char tptp.option_fml)) (BOUND_VARIABLE_25134 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_25135 tptp.produc62062515n_game) (BOUND_VARIABLE_25136 tptp.char)) (= (ll_144 BOUND_VARIABLE_25133 BOUND_VARIABLE_25134 BOUND_VARIABLE_25135 BOUND_VARIABLE_25136) (@ (@ tptp.produc154833544on_fml (@ (@ (@ ll_298 BOUND_VARIABLE_25133) BOUND_VARIABLE_25134) BOUND_VARIABLE_25136)) BOUND_VARIABLE_25135))))) (let ((_let_1563 (forall ((BOUND_VARIABLE_25105 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_25106 tptp.produc62062515n_game) (BOUND_VARIABLE_25107 tptp.char)) (= (ll_143 BOUND_VARIABLE_25105 BOUND_VARIABLE_25106 BOUND_VARIABLE_25107) (@ (@ tptp.produc154833544on_fml (@ (@ ll_297 BOUND_VARIABLE_25105) BOUND_VARIABLE_25107)) BOUND_VARIABLE_25106))))) (let ((_let_1564 (forall ((BOUND_VARIABLE_25072 (-> (-> tptp.char tptp.option_fml) tptp.char tptp.option_trm)) (BOUND_VARIABLE_25073 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_25074 tptp.produc62062515n_game) (BOUND_VARIABLE_25075 tptp.char)) (= (ll_142 BOUND_VARIABLE_25072 BOUND_VARIABLE_25073 BOUND_VARIABLE_25074 BOUND_VARIABLE_25075) (@ (@ tptp.produc692578258on_trm (@ (@ (@ ll_296 BOUND_VARIABLE_25072) BOUND_VARIABLE_25073) BOUND_VARIABLE_25075)) BOUND_VARIABLE_25074))))) (let ((_let_1565 (forall ((BOUND_VARIABLE_25045 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm)) (BOUND_VARIABLE_25046 tptp.produc62062515n_game) (BOUND_VARIABLE_25047 tptp.char)) (= (ll_141 BOUND_VARIABLE_25045 BOUND_VARIABLE_25046 BOUND_VARIABLE_25047) (@ (@ tptp.produc692578258on_trm (@ (@ ll_295 BOUND_VARIABLE_25045) BOUND_VARIABLE_25047)) BOUND_VARIABLE_25046))))) (let ((_let_1566 (forall ((BOUND_VARIABLE_25012 (-> (-> tptp.char tptp.option_trm) tptp.char tptp.option_fml)) (BOUND_VARIABLE_25013 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm)) (BOUND_VARIABLE_25014 tptp.produc62062515n_game) (BOUND_VARIABLE_25015 tptp.char)) (= (ll_140 BOUND_VARIABLE_25012 BOUND_VARIABLE_25013 BOUND_VARIABLE_25014 BOUND_VARIABLE_25015) (@ (@ tptp.produc154833544on_fml (@ (@ (@ ll_294 BOUND_VARIABLE_25012) BOUND_VARIABLE_25013) BOUND_VARIABLE_25015)) BOUND_VARIABLE_25014))))) (let ((_let_1567 (forall ((BOUND_VARIABLE_24984 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm)) (BOUND_VARIABLE_24985 tptp.produc62062515n_game) (BOUND_VARIABLE_24986 tptp.char)) (= (ll_139 BOUND_VARIABLE_24984 BOUND_VARIABLE_24985 BOUND_VARIABLE_24986) (@ (@ tptp.produc692578258on_trm (@ (@ ll_293 BOUND_VARIABLE_24984) BOUND_VARIABLE_24986)) BOUND_VARIABLE_24985))))) (let ((_let_1568 (forall ((BOUND_VARIABLE_24951 (-> (-> tptp.char tptp.option_trm) tptp.char tptp.option_trm)) (BOUND_VARIABLE_24952 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm)) (BOUND_VARIABLE_24953 tptp.produc62062515n_game) (BOUND_VARIABLE_24954 tptp.char)) (= (ll_138 BOUND_VARIABLE_24951 BOUND_VARIABLE_24952 BOUND_VARIABLE_24953 BOUND_VARIABLE_24954) (@ (@ tptp.produc692578258on_trm (@ (@ (@ ll_292 BOUND_VARIABLE_24951) BOUND_VARIABLE_24952) BOUND_VARIABLE_24954)) BOUND_VARIABLE_24953))))) (let ((_let_1569 (forall ((BOUND_VARIABLE_24923 (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_24924 tptp.produc1418842292n_game) (BOUND_VARIABLE_24925 tptp.char)) (= (ll_137 BOUND_VARIABLE_24923 BOUND_VARIABLE_24924 BOUND_VARIABLE_24925) (@ (@ tptp.produc1499310791on_fml (@ (@ ll_291 BOUND_VARIABLE_24923) BOUND_VARIABLE_24925)) BOUND_VARIABLE_24924))))) (let ((_let_1570 (forall ((BOUND_VARIABLE_24890 (-> (-> tptp.char tptp.option_fml) tptp.char tptp.option_fml)) (BOUND_VARIABLE_24891 (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.char tptp.option_fml)) (BOUND_VARIABLE_24892 tptp.produc1418842292n_game) (BOUND_VARIABLE_24893 tptp.char)) (= (ll_136 BOUND_VARIABLE_24890 BOUND_VARIABLE_24891 BOUND_VARIABLE_24892 BOUND_VARIABLE_24893) (@ (@ tptp.produc1499310791on_fml (@ (@ (@ ll_290 BOUND_VARIABLE_24890) BOUND_VARIABLE_24891) BOUND_VARIABLE_24893)) BOUND_VARIABLE_24892))))) (let ((_let_1571 (forall ((BOUND_VARIABLE_24879 tptp.set_variable) (BOUND_VARIABLE_24880 tptp.set_variable) (BOUND_VARIABLE_24881 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_24881))) (= (and (@ _let_1 BOUND_VARIABLE_24879) (@ _let_1 BOUND_VARIABLE_24880)) (ll_135 BOUND_VARIABLE_24879 BOUND_VARIABLE_24880 BOUND_VARIABLE_24881)))))) (let ((_let_1572 (forall ((BOUND_VARIABLE_24869 tptp.set_variable) (BOUND_VARIABLE_24870 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_24870))) (= (and (@ _let_1 BOUND_VARIABLE_24869) (@ _let_1 (@ tptp.collect_variable tptp.bot_bot_variable_o))) (ll_134 BOUND_VARIABLE_24869 BOUND_VARIABLE_24870)))))) (let ((_let_1573 (forall ((BOUND_VARIABLE_24859 tptp.set_variable) (BOUND_VARIABLE_24860 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_24860))) (= (and (@ _let_1 (@ tptp.collect_variable tptp.bot_bot_variable_o)) (@ _let_1 BOUND_VARIABLE_24859)) (ll_133 BOUND_VARIABLE_24859 BOUND_VARIABLE_24860)))))) (let ((_let_1574 (forall ((BOUND_VARIABLE_24848 tptp.set_variable) (BOUND_VARIABLE_24849 tptp.set_variable) (BOUND_VARIABLE_24850 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_24850))) (= (and (@ _let_1 BOUND_VARIABLE_24848) (@ _let_1 BOUND_VARIABLE_24849)) (ll_132 BOUND_VARIABLE_24848 BOUND_VARIABLE_24849 BOUND_VARIABLE_24850)))))) (let ((_let_1575 (forall ((BOUND_VARIABLE_24837 tptp.set_char) (BOUND_VARIABLE_24838 tptp.set_char) (BOUND_VARIABLE_24839 tptp.char)) (let ((_let_1 (@ tptp.member_char BOUND_VARIABLE_24839))) (= (and (@ _let_1 BOUND_VARIABLE_24837) (@ _let_1 BOUND_VARIABLE_24838)) (ll_131 BOUND_VARIABLE_24837 BOUND_VARIABLE_24838 BOUND_VARIABLE_24839)))))) (let ((_let_1576 (forall ((BOUND_VARIABLE_24826 tptp.set_variable) (BOUND_VARIABLE_24827 tptp.set_variable) (BOUND_VARIABLE_24828 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_24828))) (= (and (@ _let_1 BOUND_VARIABLE_24826) (@ _let_1 BOUND_VARIABLE_24827)) (ll_130 BOUND_VARIABLE_24826 BOUND_VARIABLE_24827 BOUND_VARIABLE_24828)))))) (let ((_let_1577 (forall ((BOUND_VARIABLE_24815 tptp.set_char) (BOUND_VARIABLE_24816 tptp.set_char) (BOUND_VARIABLE_24817 tptp.char)) (let ((_let_1 (@ tptp.member_char BOUND_VARIABLE_24817))) (= (and (@ _let_1 BOUND_VARIABLE_24815) (@ _let_1 BOUND_VARIABLE_24816)) (ll_129 BOUND_VARIABLE_24815 BOUND_VARIABLE_24816 BOUND_VARIABLE_24817)))))) (let ((_let_1578 (forall ((BOUND_VARIABLE_24785 tptp.set_variable) (BOUND_VARIABLE_24786 tptp.set_variable)) (= (ll_128 BOUND_VARIABLE_24785 BOUND_VARIABLE_24786) (@ tptp.collect_variable (@ (@ tptp.inf_inf_variable_o (@ ll_289 BOUND_VARIABLE_24785)) (@ ll_288 BOUND_VARIABLE_24786))))))) (let ((_let_1579 (forall ((BOUND_VARIABLE_24761 tptp.set_char) (BOUND_VARIABLE_24762 tptp.set_char)) (= (ll_127 BOUND_VARIABLE_24761 BOUND_VARIABLE_24762) (@ tptp.collect_char (@ (@ ll_287 BOUND_VARIABLE_24761) BOUND_VARIABLE_24762)))))) (let ((_let_1580 (forall ((BOUND_VARIABLE_24731 tptp.set_char) (BOUND_VARIABLE_24732 tptp.set_char)) (= (ll_126 BOUND_VARIABLE_24731 BOUND_VARIABLE_24732) (@ tptp.collect_char (@ (@ tptp.inf_inf_char_o (@ ll_286 BOUND_VARIABLE_24731)) (@ ll_285 BOUND_VARIABLE_24732))))))) (let ((_let_1581 (forall ((BOUND_VARIABLE_24719 tptp.set_variable) (BOUND_VARIABLE_24720 (-> tptp.variable Bool)) (BOUND_VARIABLE_24721 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_24721))) (= (and (@ _let_1 BOUND_VARIABLE_24719) (@ _let_1 (@ tptp.collect_variable BOUND_VARIABLE_24720))) (ll_125 BOUND_VARIABLE_24719 BOUND_VARIABLE_24720 BOUND_VARIABLE_24721)))))) (let ((_let_1582 (forall ((BOUND_VARIABLE_24707 tptp.set_char) (BOUND_VARIABLE_24708 (-> tptp.char Bool)) (BOUND_VARIABLE_24709 tptp.char)) (let ((_let_1 (@ tptp.member_char BOUND_VARIABLE_24709))) (= (and (@ _let_1 BOUND_VARIABLE_24707) (@ _let_1 (@ tptp.collect_char BOUND_VARIABLE_24708))) (ll_124 BOUND_VARIABLE_24707 BOUND_VARIABLE_24708 BOUND_VARIABLE_24709)))))) (let ((_let_1583 (forall ((BOUND_VARIABLE_24697 (-> tptp.variable Bool)) (BOUND_VARIABLE_24698 (-> tptp.variable Bool)) (BOUND_VARIABLE_24699 tptp.variable)) (= (and (@ BOUND_VARIABLE_24697 BOUND_VARIABLE_24699) (@ BOUND_VARIABLE_24698 BOUND_VARIABLE_24699)) (ll_123 BOUND_VARIABLE_24697 BOUND_VARIABLE_24698 BOUND_VARIABLE_24699))))) (let ((_let_1584 (forall ((BOUND_VARIABLE_24684 (-> tptp.variable Bool)) (BOUND_VARIABLE_24685 (-> tptp.variable Bool)) (BOUND_VARIABLE_24686 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_24686))) (= (and (@ _let_1 (@ tptp.collect_variable BOUND_VARIABLE_24684)) (@ _let_1 (@ tptp.collect_variable BOUND_VARIABLE_24685))) (ll_122 BOUND_VARIABLE_24684 BOUND_VARIABLE_24685 BOUND_VARIABLE_24686)))))) (let ((_let_1585 (forall ((BOUND_VARIABLE_24674 (-> tptp.char Bool)) (BOUND_VARIABLE_24675 (-> tptp.char Bool)) (BOUND_VARIABLE_24676 tptp.char)) (= (and (@ BOUND_VARIABLE_24674 BOUND_VARIABLE_24676) (@ BOUND_VARIABLE_24675 BOUND_VARIABLE_24676)) (ll_121 BOUND_VARIABLE_24674 BOUND_VARIABLE_24675 BOUND_VARIABLE_24676))))) (let ((_let_1586 (forall ((BOUND_VARIABLE_24661 (-> tptp.char Bool)) (BOUND_VARIABLE_24662 (-> tptp.char Bool)) (BOUND_VARIABLE_24663 tptp.char)) (let ((_let_1 (@ tptp.member_char BOUND_VARIABLE_24663))) (= (and (@ _let_1 (@ tptp.collect_char BOUND_VARIABLE_24661)) (@ _let_1 (@ tptp.collect_char BOUND_VARIABLE_24662))) (ll_120 BOUND_VARIABLE_24661 BOUND_VARIABLE_24662 BOUND_VARIABLE_24663)))))) (let ((_let_1587 (forall ((BOUND_VARIABLE_24656 tptp.variable)) (not (ll_119 BOUND_VARIABLE_24656))))) (let ((_let_1588 (forall ((BOUND_VARIABLE_24651 tptp.char)) (not (ll_118 BOUND_VARIABLE_24651))))) (let ((_let_1589 (forall ((BOUND_VARIABLE_24619 tptp.set_variable) (BOUND_VARIABLE_24620 tptp.set_variable) (BOUND_VARIABLE_24621 tptp.set_variable) (BOUND_VARIABLE_24622 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_24622))) (= (ll_117 BOUND_VARIABLE_24619 BOUND_VARIABLE_24620 BOUND_VARIABLE_24621 BOUND_VARIABLE_24622) (and (@ _let_1 BOUND_VARIABLE_24619) (@ _let_1 (@ tptp.collect_variable (@ (@ ll_284 BOUND_VARIABLE_24620) BOUND_VARIABLE_24621))))))))) (let ((_let_1590 (forall ((BOUND_VARIABLE_24587 tptp.set_variable) (BOUND_VARIABLE_24588 tptp.set_variable) (BOUND_VARIABLE_24589 tptp.set_variable) (BOUND_VARIABLE_24590 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_24590))) (= (ll_116 BOUND_VARIABLE_24587 BOUND_VARIABLE_24588 BOUND_VARIABLE_24589 BOUND_VARIABLE_24590) (and (@ _let_1 BOUND_VARIABLE_24587) (@ _let_1 (@ tptp.collect_variable (@ (@ ll_283 BOUND_VARIABLE_24588) BOUND_VARIABLE_24589))))))))) (let ((_let_1591 (forall ((BOUND_VARIABLE_24576 tptp.set_variable) (BOUND_VARIABLE_24577 tptp.set_variable) (BOUND_VARIABLE_24578 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_24578))) (= (and (@ _let_1 BOUND_VARIABLE_24576) (@ _let_1 BOUND_VARIABLE_24577)) (ll_115 BOUND_VARIABLE_24576 BOUND_VARIABLE_24577 BOUND_VARIABLE_24578)))))) (let ((_let_1592 (forall ((BOUND_VARIABLE_24545 tptp.set_variable) (BOUND_VARIABLE_24546 tptp.set_variable) (BOUND_VARIABLE_24547 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_24547))) (= (ll_114 BOUND_VARIABLE_24545 BOUND_VARIABLE_24546 BOUND_VARIABLE_24547) (and (@ _let_1 BOUND_VARIABLE_24545) (@ _let_1 (@ tptp.collect_variable (@ (@ ll_282 BOUND_VARIABLE_24545) BOUND_VARIABLE_24546))))))))) (let ((_let_1593 (forall ((BOUND_VARIABLE_24521 tptp.set_variable) (BOUND_VARIABLE_24522 tptp.set_variable)) (= (ll_113 BOUND_VARIABLE_24521 BOUND_VARIABLE_24522) (@ tptp.collect_variable (@ (@ ll_281 BOUND_VARIABLE_24522) BOUND_VARIABLE_24521)))))) (let ((_let_1594 (forall ((BOUND_VARIABLE_24513 tptp.set_variable) (BOUND_VARIABLE_24514 tptp.variable)) (= (@ (@ tptp.member_variable BOUND_VARIABLE_24514) BOUND_VARIABLE_24513) (ll_112 BOUND_VARIABLE_24513 BOUND_VARIABLE_24514))))) (let ((_let_1595 (forall ((BOUND_VARIABLE_24481 tptp.set_variable) (BOUND_VARIABLE_24482 tptp.set_variable) (BOUND_VARIABLE_24483 tptp.set_variable) (BOUND_VARIABLE_24484 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_24484))) (= (ll_111 BOUND_VARIABLE_24481 BOUND_VARIABLE_24482 BOUND_VARIABLE_24483 BOUND_VARIABLE_24484) (and (@ _let_1 (@ tptp.collect_variable (@ (@ ll_280 BOUND_VARIABLE_24481) BOUND_VARIABLE_24482))) (@ _let_1 BOUND_VARIABLE_24483))))))) (let ((_let_1596 (forall ((BOUND_VARIABLE_24449 tptp.set_variable) (BOUND_VARIABLE_24450 tptp.set_variable) (BOUND_VARIABLE_24451 tptp.set_variable) (BOUND_VARIABLE_24452 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_24452))) (= (ll_110 BOUND_VARIABLE_24449 BOUND_VARIABLE_24450 BOUND_VARIABLE_24451 BOUND_VARIABLE_24452) (and (@ _let_1 BOUND_VARIABLE_24449) (@ _let_1 (@ tptp.collect_variable (@ (@ ll_279 BOUND_VARIABLE_24450) BOUND_VARIABLE_24451))))))))) (let ((_let_1597 (forall ((BOUND_VARIABLE_24438 tptp.set_variable) (BOUND_VARIABLE_24439 tptp.set_variable) (BOUND_VARIABLE_24440 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_24440))) (= (and (@ _let_1 BOUND_VARIABLE_24438) (@ _let_1 BOUND_VARIABLE_24439)) (ll_109 BOUND_VARIABLE_24438 BOUND_VARIABLE_24439 BOUND_VARIABLE_24440)))))) (let ((_let_1598 (forall ((BOUND_VARIABLE_24427 tptp.set_char) (BOUND_VARIABLE_24428 tptp.set_char) (BOUND_VARIABLE_24429 tptp.char)) (let ((_let_1 (@ tptp.member_char BOUND_VARIABLE_24429))) (= (and (@ _let_1 BOUND_VARIABLE_24427) (@ _let_1 BOUND_VARIABLE_24428)) (ll_108 BOUND_VARIABLE_24427 BOUND_VARIABLE_24428 BOUND_VARIABLE_24429)))))) (let ((_let_1599 (forall ((BOUND_VARIABLE_24416 tptp.set_variable) (BOUND_VARIABLE_24417 tptp.set_variable) (BOUND_VARIABLE_24418 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_24418))) (= (and (@ _let_1 BOUND_VARIABLE_24416) (@ _let_1 BOUND_VARIABLE_24417)) (ll_107 BOUND_VARIABLE_24416 BOUND_VARIABLE_24417 BOUND_VARIABLE_24418)))))) (let ((_let_1600 (forall ((BOUND_VARIABLE_24405 tptp.set_char) (BOUND_VARIABLE_24406 tptp.set_char) (BOUND_VARIABLE_24407 tptp.char)) (let ((_let_1 (@ tptp.member_char BOUND_VARIABLE_24407))) (= (and (@ _let_1 BOUND_VARIABLE_24405) (@ _let_1 BOUND_VARIABLE_24406)) (ll_106 BOUND_VARIABLE_24405 BOUND_VARIABLE_24406 BOUND_VARIABLE_24407)))))) (let ((_let_1601 (forall ((BOUND_VARIABLE_24394 tptp.set_variable) (BOUND_VARIABLE_24395 tptp.set_variable) (BOUND_VARIABLE_24396 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_24396))) (= (and (@ _let_1 BOUND_VARIABLE_24394) (@ _let_1 BOUND_VARIABLE_24395)) (ll_105 BOUND_VARIABLE_24394 BOUND_VARIABLE_24395 BOUND_VARIABLE_24396)))))) (let ((_let_1602 (forall ((BOUND_VARIABLE_24383 tptp.set_char) (BOUND_VARIABLE_24384 tptp.set_char) (BOUND_VARIABLE_24385 tptp.char)) (let ((_let_1 (@ tptp.member_char BOUND_VARIABLE_24385))) (= (and (@ _let_1 BOUND_VARIABLE_24383) (@ _let_1 BOUND_VARIABLE_24384)) (ll_104 BOUND_VARIABLE_24383 BOUND_VARIABLE_24384 BOUND_VARIABLE_24385)))))) (let ((_let_1603 (forall ((BOUND_VARIABLE_24372 tptp.set_variable) (BOUND_VARIABLE_24373 tptp.set_variable) (BOUND_VARIABLE_24374 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_24374))) (= (and (@ _let_1 BOUND_VARIABLE_24372) (@ _let_1 BOUND_VARIABLE_24373)) (ll_103 BOUND_VARIABLE_24372 BOUND_VARIABLE_24373 BOUND_VARIABLE_24374)))))) (let ((_let_1604 (forall ((BOUND_VARIABLE_24361 tptp.set_char) (BOUND_VARIABLE_24362 tptp.set_char) (BOUND_VARIABLE_24363 tptp.char)) (let ((_let_1 (@ tptp.member_char BOUND_VARIABLE_24363))) (= (and (@ _let_1 BOUND_VARIABLE_24361) (@ _let_1 BOUND_VARIABLE_24362)) (ll_102 BOUND_VARIABLE_24361 BOUND_VARIABLE_24362 BOUND_VARIABLE_24363)))))) (let ((_let_1605 (forall ((BOUND_VARIABLE_24350 tptp.set_variable) (BOUND_VARIABLE_24351 tptp.set_variable) (BOUND_VARIABLE_24352 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_24352))) (= (and (@ _let_1 BOUND_VARIABLE_24350) (@ _let_1 BOUND_VARIABLE_24351)) (ll_101 BOUND_VARIABLE_24350 BOUND_VARIABLE_24351 BOUND_VARIABLE_24352)))))) (let ((_let_1606 (forall ((BOUND_VARIABLE_24339 tptp.set_char) (BOUND_VARIABLE_24340 tptp.set_char) (BOUND_VARIABLE_24341 tptp.char)) (let ((_let_1 (@ tptp.member_char BOUND_VARIABLE_24341))) (= (and (@ _let_1 BOUND_VARIABLE_24339) (@ _let_1 BOUND_VARIABLE_24340)) (ll_100 BOUND_VARIABLE_24339 BOUND_VARIABLE_24340 BOUND_VARIABLE_24341)))))) (let ((_let_1607 (forall ((BOUND_VARIABLE_24315 tptp.produc1418842292n_game) (BOUND_VARIABLE_24316 tptp.char) (BOUND_VARIABLE_24317 tptp.set_variable) (BOUND_VARIABLE_24318 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_24318))) (= (ll_99 BOUND_VARIABLE_24315 BOUND_VARIABLE_24316 BOUND_VARIABLE_24317 BOUND_VARIABLE_24318) (and (@ _let_1 (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm ll_97) BOUND_VARIABLE_24315) BOUND_VARIABLE_24316)))) (@ _let_1 BOUND_VARIABLE_24317))))))) (let ((_let_1608 (forall ((BOUND_VARIABLE_24298 tptp.produc1418842292n_game) (BOUND_VARIABLE_24299 tptp.set_variable) (BOUND_VARIABLE_24300 tptp.trm) (BOUND_VARIABLE_24301 tptp.char)) (= (ll_98 BOUND_VARIABLE_24298 BOUND_VARIABLE_24299 BOUND_VARIABLE_24300 BOUND_VARIABLE_24301) (@ (@ (@ tptp.if_option_trm (= (@ (@ (@ (@ (@ (@ (@ (@ tptp.char2 false) true) true) true) false) true) false) false) BOUND_VARIABLE_24301)) (@ tptp.some_trm (@ tptp.the_trm (@ (@ (@ tptp.uSubst516392818stappt BOUND_VARIABLE_24298) BOUND_VARIABLE_24299) BOUND_VARIABLE_24300)))) tptp.none_trm))))) (let ((_let_1609 (forall ((BOUND_VARIABLE_24271 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_24272 tptp.produc62062515n_game) (BOUND_VARIABLE_24273 tptp.char)) (= (ll_97 BOUND_VARIABLE_24271 BOUND_VARIABLE_24272 BOUND_VARIABLE_24273) (@ (@ tptp.produc692578258on_trm (@ ll_278 BOUND_VARIABLE_24273)) BOUND_VARIABLE_24272))))) (let ((_let_1610 (forall ((BOUND_VARIABLE_24244 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_24245 tptp.produc62062515n_game) (BOUND_VARIABLE_24246 tptp.char)) (= (ll_96 BOUND_VARIABLE_24244 BOUND_VARIABLE_24245 BOUND_VARIABLE_24246) (@ (@ tptp.produc692578258on_trm (@ ll_277 BOUND_VARIABLE_24246)) BOUND_VARIABLE_24245))))) (let ((_let_1611 (forall ((BOUND_VARIABLE_24232 tptp.trm) (BOUND_VARIABLE_24233 tptp.set_variable) (BOUND_VARIABLE_24234 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_24234))) (= (and (@ _let_1 (@ tptp.static_FVT BOUND_VARIABLE_24232)) (@ _let_1 BOUND_VARIABLE_24233)) (ll_95 BOUND_VARIABLE_24232 BOUND_VARIABLE_24233 BOUND_VARIABLE_24234)))))) (let ((_let_1612 (forall ((BOUND_VARIABLE_24221 tptp.trm) (BOUND_VARIABLE_24222 tptp.char)) (= (ll_94 BOUND_VARIABLE_24221 BOUND_VARIABLE_24222) (@ (@ (@ tptp.if_option_trm (= (@ (@ (@ (@ (@ (@ (@ (@ tptp.char2 false) true) true) true) false) true) false) false) BOUND_VARIABLE_24222)) (@ tptp.some_trm BOUND_VARIABLE_24221)) tptp.none_trm))))) (let ((_let_1613 (forall ((BOUND_VARIABLE_24216 tptp.char)) (= tptp.none_trm (ll_93 BOUND_VARIABLE_24216))))) (let ((_let_1614 (forall ((BOUND_VARIABLE_24211 tptp.char)) (= tptp.none_fml (ll_92 BOUND_VARIABLE_24211))))) (let ((_let_1615 (forall ((BOUND_VARIABLE_24206 tptp.char)) (= tptp.none_game (ll_91 BOUND_VARIABLE_24206))))) (let ((_let_1616 (forall ((BOUND_VARIABLE_24199 (-> tptp.option_game Bool))) (= (forall ((X5 tptp.option_game)) (@ BOUND_VARIABLE_24199 X5)) (ll_90 BOUND_VARIABLE_24199))))) (let ((_let_1617 (forall ((BOUND_VARIABLE_24190 (-> tptp.option_game Bool))) (= (and (@ BOUND_VARIABLE_24190 tptp.none_game) (forall ((X tptp.game)) (@ BOUND_VARIABLE_24190 (@ tptp.some_game X)))) (ll_89 BOUND_VARIABLE_24190))))) (let ((_let_1618 (forall ((BOUND_VARIABLE_24183 (-> tptp.option_fml Bool))) (= (forall ((X5 tptp.option_fml)) (@ BOUND_VARIABLE_24183 X5)) (ll_88 BOUND_VARIABLE_24183))))) (let ((_let_1619 (forall ((BOUND_VARIABLE_24174 (-> tptp.option_fml Bool))) (= (and (@ BOUND_VARIABLE_24174 tptp.none_fml) (forall ((X tptp.fml)) (@ BOUND_VARIABLE_24174 (@ tptp.some_fml X)))) (ll_87 BOUND_VARIABLE_24174))))) (let ((_let_1620 (forall ((BOUND_VARIABLE_24167 (-> tptp.option_trm Bool))) (= (forall ((X5 tptp.option_trm)) (@ BOUND_VARIABLE_24167 X5)) (ll_86 BOUND_VARIABLE_24167))))) (let ((_let_1621 (forall ((BOUND_VARIABLE_24158 (-> tptp.option_trm Bool))) (= (and (@ BOUND_VARIABLE_24158 tptp.none_trm) (forall ((X tptp.trm)) (@ BOUND_VARIABLE_24158 (@ tptp.some_trm X)))) (ll_85 BOUND_VARIABLE_24158))))) (let ((_let_1622 (forall ((BOUND_VARIABLE_24149 (-> tptp.option_game Bool))) (= (not (forall ((X5 tptp.option_game)) (not (@ BOUND_VARIABLE_24149 X5)))) (ll_84 BOUND_VARIABLE_24149))))) (let ((_let_1623 (forall ((BOUND_VARIABLE_24138 (-> tptp.option_game Bool))) (= (or (@ BOUND_VARIABLE_24138 tptp.none_game) (not (forall ((X tptp.game)) (not (@ BOUND_VARIABLE_24138 (@ tptp.some_game X)))))) (ll_83 BOUND_VARIABLE_24138))))) (let ((_let_1624 (forall ((BOUND_VARIABLE_24129 (-> tptp.option_fml Bool))) (= (not (forall ((X5 tptp.option_fml)) (not (@ BOUND_VARIABLE_24129 X5)))) (ll_82 BOUND_VARIABLE_24129))))) (let ((_let_1625 (forall ((BOUND_VARIABLE_24118 (-> tptp.option_fml Bool))) (= (or (@ BOUND_VARIABLE_24118 tptp.none_fml) (not (forall ((X tptp.fml)) (not (@ BOUND_VARIABLE_24118 (@ tptp.some_fml X)))))) (ll_81 BOUND_VARIABLE_24118))))) (let ((_let_1626 (forall ((BOUND_VARIABLE_24109 (-> tptp.option_trm Bool))) (= (not (forall ((X5 tptp.option_trm)) (not (@ BOUND_VARIABLE_24109 X5)))) (ll_80 BOUND_VARIABLE_24109))))) (let ((_let_1627 (forall ((BOUND_VARIABLE_24098 (-> tptp.option_trm Bool))) (= (or (@ BOUND_VARIABLE_24098 tptp.none_trm) (not (forall ((X tptp.trm)) (not (@ BOUND_VARIABLE_24098 (@ tptp.some_trm X)))))) (ll_79 BOUND_VARIABLE_24098))))) (let ((_let_1628 (forall ((BOUND_VARIABLE_24087 tptp.set_variable) (BOUND_VARIABLE_24088 tptp.set_variable) (BOUND_VARIABLE_24089 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_24089))) (= (and (@ _let_1 BOUND_VARIABLE_24087) (@ _let_1 BOUND_VARIABLE_24088)) (ll_78 BOUND_VARIABLE_24087 BOUND_VARIABLE_24088 BOUND_VARIABLE_24089)))))) (let ((_let_1629 (forall ((BOUND_VARIABLE_24056 tptp.set_variable) (BOUND_VARIABLE_24057 tptp.set_variable) (BOUND_VARIABLE_24058 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_24058))) (= (ll_77 BOUND_VARIABLE_24056 BOUND_VARIABLE_24057 BOUND_VARIABLE_24058) (and (@ _let_1 BOUND_VARIABLE_24056) (@ _let_1 (@ tptp.collect_variable (@ (@ ll_276 BOUND_VARIABLE_24056) BOUND_VARIABLE_24057))))))))) (let ((_let_1630 (forall ((BOUND_VARIABLE_24024 tptp.set_variable) (BOUND_VARIABLE_24025 tptp.set_variable) (BOUND_VARIABLE_24026 tptp.set_variable) (BOUND_VARIABLE_24027 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_24027))) (= (ll_76 BOUND_VARIABLE_24024 BOUND_VARIABLE_24025 BOUND_VARIABLE_24026 BOUND_VARIABLE_24027) (and (@ _let_1 BOUND_VARIABLE_24024) (@ _let_1 (@ tptp.collect_variable (@ (@ ll_275 BOUND_VARIABLE_24025) BOUND_VARIABLE_24026))))))))) (let ((_let_1631 (forall ((BOUND_VARIABLE_23992 tptp.set_variable) (BOUND_VARIABLE_23993 tptp.set_variable) (BOUND_VARIABLE_23994 tptp.set_variable) (BOUND_VARIABLE_23995 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23995))) (= (ll_75 BOUND_VARIABLE_23992 BOUND_VARIABLE_23993 BOUND_VARIABLE_23994 BOUND_VARIABLE_23995) (and (@ _let_1 BOUND_VARIABLE_23992) (@ _let_1 (@ tptp.collect_variable (@ (@ ll_274 BOUND_VARIABLE_23993) BOUND_VARIABLE_23994))))))))) (let ((_let_1632 (forall ((BOUND_VARIABLE_23960 tptp.set_variable) (BOUND_VARIABLE_23961 tptp.set_variable) (BOUND_VARIABLE_23962 tptp.set_variable) (BOUND_VARIABLE_23963 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23963))) (= (ll_74 BOUND_VARIABLE_23960 BOUND_VARIABLE_23961 BOUND_VARIABLE_23962 BOUND_VARIABLE_23963) (and (@ _let_1 (@ tptp.collect_variable (@ (@ ll_273 BOUND_VARIABLE_23960) BOUND_VARIABLE_23961))) (@ _let_1 BOUND_VARIABLE_23962))))))) (let ((_let_1633 (forall ((BOUND_VARIABLE_23928 tptp.set_variable) (BOUND_VARIABLE_23929 tptp.set_variable) (BOUND_VARIABLE_23930 tptp.set_variable) (BOUND_VARIABLE_23931 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23931))) (= (ll_73 BOUND_VARIABLE_23928 BOUND_VARIABLE_23929 BOUND_VARIABLE_23930 BOUND_VARIABLE_23931) (and (@ _let_1 BOUND_VARIABLE_23928) (@ _let_1 (@ tptp.collect_variable (@ (@ ll_272 BOUND_VARIABLE_23929) BOUND_VARIABLE_23930))))))))) (let ((_let_1634 (forall ((BOUND_VARIABLE_23904 tptp.set_variable) (BOUND_VARIABLE_23905 tptp.set_variable)) (= (ll_72 BOUND_VARIABLE_23904 BOUND_VARIABLE_23905) (@ tptp.collect_variable (@ (@ ll_271 BOUND_VARIABLE_23905) BOUND_VARIABLE_23904)))))) (let ((_let_1635 (forall ((BOUND_VARIABLE_23872 tptp.set_variable) (BOUND_VARIABLE_23873 tptp.set_variable) (BOUND_VARIABLE_23874 tptp.set_variable) (BOUND_VARIABLE_23875 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23875))) (= (ll_71 BOUND_VARIABLE_23872 BOUND_VARIABLE_23873 BOUND_VARIABLE_23874 BOUND_VARIABLE_23875) (and (@ _let_1 BOUND_VARIABLE_23872) (@ _let_1 (@ tptp.collect_variable (@ (@ ll_270 BOUND_VARIABLE_23873) BOUND_VARIABLE_23874))))))))) (let ((_let_1636 (forall ((BOUND_VARIABLE_23840 tptp.set_variable) (BOUND_VARIABLE_23841 tptp.set_variable) (BOUND_VARIABLE_23842 tptp.set_variable) (BOUND_VARIABLE_23843 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23843))) (= (ll_70 BOUND_VARIABLE_23840 BOUND_VARIABLE_23841 BOUND_VARIABLE_23842 BOUND_VARIABLE_23843) (and (@ _let_1 (@ tptp.collect_variable (@ (@ ll_269 BOUND_VARIABLE_23840) BOUND_VARIABLE_23841))) (@ _let_1 BOUND_VARIABLE_23842))))))) (let ((_let_1637 (forall ((BOUND_VARIABLE_23808 tptp.set_variable) (BOUND_VARIABLE_23809 tptp.set_variable) (BOUND_VARIABLE_23810 tptp.set_variable) (BOUND_VARIABLE_23811 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23811))) (= (ll_69 BOUND_VARIABLE_23808 BOUND_VARIABLE_23809 BOUND_VARIABLE_23810 BOUND_VARIABLE_23811) (and (@ _let_1 BOUND_VARIABLE_23808) (@ _let_1 (@ tptp.collect_variable (@ (@ ll_268 BOUND_VARIABLE_23809) BOUND_VARIABLE_23810))))))))) (let ((_let_1638 (forall ((BOUND_VARIABLE_23776 tptp.set_variable) (BOUND_VARIABLE_23777 tptp.set_variable) (BOUND_VARIABLE_23778 tptp.set_variable) (BOUND_VARIABLE_23779 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23779))) (= (ll_68 BOUND_VARIABLE_23776 BOUND_VARIABLE_23777 BOUND_VARIABLE_23778 BOUND_VARIABLE_23779) (and (@ _let_1 BOUND_VARIABLE_23776) (@ _let_1 (@ tptp.collect_variable (@ (@ ll_267 BOUND_VARIABLE_23777) BOUND_VARIABLE_23778))))))))) (let ((_let_1639 (forall ((BOUND_VARIABLE_23744 tptp.set_variable) (BOUND_VARIABLE_23745 tptp.set_variable) (BOUND_VARIABLE_23746 tptp.set_variable) (BOUND_VARIABLE_23747 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23747))) (= (ll_67 BOUND_VARIABLE_23744 BOUND_VARIABLE_23745 BOUND_VARIABLE_23746 BOUND_VARIABLE_23747) (and (@ _let_1 (@ tptp.collect_variable (@ (@ ll_266 BOUND_VARIABLE_23744) BOUND_VARIABLE_23745))) (@ _let_1 BOUND_VARIABLE_23746))))))) (let ((_let_1640 (forall ((BOUND_VARIABLE_23712 tptp.set_variable) (BOUND_VARIABLE_23713 tptp.set_variable) (BOUND_VARIABLE_23714 tptp.set_variable) (BOUND_VARIABLE_23715 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23715))) (= (ll_66 BOUND_VARIABLE_23712 BOUND_VARIABLE_23713 BOUND_VARIABLE_23714 BOUND_VARIABLE_23715) (and (@ _let_1 BOUND_VARIABLE_23712) (@ _let_1 (@ tptp.collect_variable (@ (@ ll_265 BOUND_VARIABLE_23713) BOUND_VARIABLE_23714))))))))) (let ((_let_1641 (forall ((BOUND_VARIABLE_23680 tptp.set_variable) (BOUND_VARIABLE_23681 tptp.set_variable) (BOUND_VARIABLE_23682 tptp.set_variable) (BOUND_VARIABLE_23683 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23683))) (= (ll_65 BOUND_VARIABLE_23680 BOUND_VARIABLE_23681 BOUND_VARIABLE_23682 BOUND_VARIABLE_23683) (and (@ _let_1 (@ tptp.collect_variable (@ (@ ll_264 BOUND_VARIABLE_23680) BOUND_VARIABLE_23681))) (@ _let_1 BOUND_VARIABLE_23682))))))) (let ((_let_1642 (forall ((BOUND_VARIABLE_23648 tptp.set_variable) (BOUND_VARIABLE_23649 tptp.set_variable) (BOUND_VARIABLE_23650 tptp.set_variable) (BOUND_VARIABLE_23651 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23651))) (= (ll_64 BOUND_VARIABLE_23648 BOUND_VARIABLE_23649 BOUND_VARIABLE_23650 BOUND_VARIABLE_23651) (and (@ _let_1 BOUND_VARIABLE_23648) (@ _let_1 (@ tptp.collect_variable (@ (@ ll_263 BOUND_VARIABLE_23649) BOUND_VARIABLE_23650))))))))) (let ((_let_1643 (forall ((BOUND_VARIABLE_23624 tptp.set_variable) (BOUND_VARIABLE_23625 tptp.set_variable)) (= (ll_63 BOUND_VARIABLE_23624 BOUND_VARIABLE_23625) (@ tptp.collect_variable (@ (@ ll_262 BOUND_VARIABLE_23625) BOUND_VARIABLE_23624)))))) (let ((_let_1644 (forall ((BOUND_VARIABLE_23600 tptp.set_variable) (BOUND_VARIABLE_23601 tptp.set_variable)) (= (ll_62 BOUND_VARIABLE_23600 BOUND_VARIABLE_23601) (@ tptp.collect_variable (@ (@ ll_261 BOUND_VARIABLE_23600) BOUND_VARIABLE_23601)))))) (let ((_let_1645 (forall ((BOUND_VARIABLE_23576 tptp.set_variable) (BOUND_VARIABLE_23577 tptp.set_variable)) (= (ll_61 BOUND_VARIABLE_23576 BOUND_VARIABLE_23577) (@ tptp.collect_variable (@ (@ ll_260 BOUND_VARIABLE_23577) BOUND_VARIABLE_23576)))))) (let ((_let_1646 (forall ((BOUND_VARIABLE_23544 tptp.set_variable) (BOUND_VARIABLE_23545 tptp.set_variable) (BOUND_VARIABLE_23546 tptp.set_variable) (BOUND_VARIABLE_23547 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23547))) (= (ll_60 BOUND_VARIABLE_23544 BOUND_VARIABLE_23545 BOUND_VARIABLE_23546 BOUND_VARIABLE_23547) (and (@ _let_1 BOUND_VARIABLE_23544) (@ _let_1 (@ tptp.collect_variable (@ (@ ll_259 BOUND_VARIABLE_23545) BOUND_VARIABLE_23546))))))))) (let ((_let_1647 (forall ((BOUND_VARIABLE_23512 tptp.set_variable) (BOUND_VARIABLE_23513 tptp.set_variable) (BOUND_VARIABLE_23514 tptp.set_variable) (BOUND_VARIABLE_23515 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23515))) (= (ll_59 BOUND_VARIABLE_23512 BOUND_VARIABLE_23513 BOUND_VARIABLE_23514 BOUND_VARIABLE_23515) (and (@ _let_1 BOUND_VARIABLE_23512) (@ _let_1 (@ tptp.collect_variable (@ (@ ll_258 BOUND_VARIABLE_23513) BOUND_VARIABLE_23514))))))))) (let ((_let_1648 (forall ((BOUND_VARIABLE_23480 tptp.set_variable) (BOUND_VARIABLE_23481 tptp.set_variable) (BOUND_VARIABLE_23482 tptp.set_variable) (BOUND_VARIABLE_23483 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23483))) (= (ll_58 BOUND_VARIABLE_23480 BOUND_VARIABLE_23481 BOUND_VARIABLE_23482 BOUND_VARIABLE_23483) (and (@ _let_1 BOUND_VARIABLE_23480) (@ _let_1 (@ tptp.collect_variable (@ (@ ll_257 BOUND_VARIABLE_23481) BOUND_VARIABLE_23482))))))))) (let ((_let_1649 (forall ((BOUND_VARIABLE_23448 tptp.set_variable) (BOUND_VARIABLE_23449 tptp.set_variable) (BOUND_VARIABLE_23450 tptp.set_variable) (BOUND_VARIABLE_23451 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23451))) (= (ll_57 BOUND_VARIABLE_23448 BOUND_VARIABLE_23449 BOUND_VARIABLE_23450 BOUND_VARIABLE_23451) (and (@ _let_1 BOUND_VARIABLE_23448) (@ _let_1 (@ tptp.collect_variable (@ (@ ll_256 BOUND_VARIABLE_23449) BOUND_VARIABLE_23450))))))))) (let ((_let_1650 (forall ((BOUND_VARIABLE_23440 tptp.set_char) (BOUND_VARIABLE_23441 tptp.char)) (= (@ (@ tptp.member_char BOUND_VARIABLE_23441) BOUND_VARIABLE_23440) (ll_56 BOUND_VARIABLE_23440 BOUND_VARIABLE_23441))))) (let ((_let_1651 (forall ((BOUND_VARIABLE_23432 tptp.set_variable) (BOUND_VARIABLE_23433 tptp.variable)) (= (@ (@ tptp.member_variable BOUND_VARIABLE_23433) BOUND_VARIABLE_23432) (ll_55 BOUND_VARIABLE_23432 BOUND_VARIABLE_23433))))) (let ((_let_1652 (forall ((BOUND_VARIABLE_23427 tptp.game)) (not (ll_54 BOUND_VARIABLE_23427))))) (let ((_let_1653 (forall ((BOUND_VARIABLE_23422 tptp.fml)) (not (ll_53 BOUND_VARIABLE_23422))))) (let ((_let_1654 (forall ((BOUND_VARIABLE_23417 tptp.trm)) (not (ll_52 BOUND_VARIABLE_23417))))) (let ((_let_1655 (forall ((BOUND_VARIABLE_23412 tptp.game)) (ll_51 BOUND_VARIABLE_23412)))) (let ((_let_1656 (forall ((BOUND_VARIABLE_23407 tptp.fml)) (ll_50 BOUND_VARIABLE_23407)))) (let ((_let_1657 (forall ((BOUND_VARIABLE_23402 tptp.trm)) (ll_49 BOUND_VARIABLE_23402)))) (let ((_let_1658 (forall ((BOUND_VARIABLE_23394 tptp.set_variable) (BOUND_VARIABLE_23395 tptp.variable)) (= (@ (@ tptp.member_variable BOUND_VARIABLE_23395) BOUND_VARIABLE_23394) (ll_48 BOUND_VARIABLE_23394 BOUND_VARIABLE_23395))))) (let ((_let_1659 (forall ((BOUND_VARIABLE_23386 tptp.set_variable) (BOUND_VARIABLE_23387 tptp.variable)) (= (@ (@ tptp.member_variable BOUND_VARIABLE_23387) BOUND_VARIABLE_23386) (ll_47 BOUND_VARIABLE_23386 BOUND_VARIABLE_23387))))) (let ((_let_1660 (forall ((BOUND_VARIABLE_23375 tptp.set_variable) (BOUND_VARIABLE_23376 tptp.set_variable) (BOUND_VARIABLE_23377 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23377))) (= (and (@ _let_1 BOUND_VARIABLE_23375) (@ _let_1 BOUND_VARIABLE_23376)) (ll_46 BOUND_VARIABLE_23375 BOUND_VARIABLE_23376 BOUND_VARIABLE_23377)))))) (let ((_let_1661 (forall ((BOUND_VARIABLE_23344 tptp.set_variable) (BOUND_VARIABLE_23345 tptp.set_variable) (BOUND_VARIABLE_23346 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23346))) (= (ll_45 BOUND_VARIABLE_23344 BOUND_VARIABLE_23345 BOUND_VARIABLE_23346) (and (@ _let_1 BOUND_VARIABLE_23344) (@ _let_1 (@ tptp.collect_variable (@ (@ ll_255 BOUND_VARIABLE_23344) BOUND_VARIABLE_23345))))))))) (let ((_let_1662 (forall ((BOUND_VARIABLE_23333 tptp.set_variable) (BOUND_VARIABLE_23334 tptp.set_variable) (BOUND_VARIABLE_23335 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23335))) (= (and (@ _let_1 BOUND_VARIABLE_23333) (@ _let_1 BOUND_VARIABLE_23334)) (ll_44 BOUND_VARIABLE_23333 BOUND_VARIABLE_23334 BOUND_VARIABLE_23335)))))) (let ((_let_1663 (forall ((BOUND_VARIABLE_23302 tptp.set_variable) (BOUND_VARIABLE_23303 tptp.set_variable) (BOUND_VARIABLE_23304 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23304))) (= (ll_43 BOUND_VARIABLE_23302 BOUND_VARIABLE_23303 BOUND_VARIABLE_23304) (and (@ _let_1 BOUND_VARIABLE_23302) (@ _let_1 (@ tptp.collect_variable (@ (@ ll_254 BOUND_VARIABLE_23302) BOUND_VARIABLE_23303))))))))) (let ((_let_1664 (forall ((BOUND_VARIABLE_23291 tptp.set_variable) (BOUND_VARIABLE_23292 tptp.set_variable) (BOUND_VARIABLE_23293 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23293))) (= (and (@ _let_1 BOUND_VARIABLE_23291) (@ _let_1 BOUND_VARIABLE_23292)) (ll_42 BOUND_VARIABLE_23291 BOUND_VARIABLE_23292 BOUND_VARIABLE_23293)))))) (let ((_let_1665 (forall ((BOUND_VARIABLE_23260 tptp.set_variable) (BOUND_VARIABLE_23261 tptp.set_variable) (BOUND_VARIABLE_23262 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23262))) (= (ll_41 BOUND_VARIABLE_23260 BOUND_VARIABLE_23261 BOUND_VARIABLE_23262) (and (@ _let_1 (@ tptp.collect_variable (@ (@ ll_253 BOUND_VARIABLE_23260) BOUND_VARIABLE_23261))) (@ _let_1 BOUND_VARIABLE_23261))))))) (let ((_let_1666 (forall ((BOUND_VARIABLE_23249 tptp.set_variable) (BOUND_VARIABLE_23250 tptp.set_variable) (BOUND_VARIABLE_23251 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23251))) (= (and (@ _let_1 BOUND_VARIABLE_23249) (@ _let_1 BOUND_VARIABLE_23250)) (ll_40 BOUND_VARIABLE_23249 BOUND_VARIABLE_23250 BOUND_VARIABLE_23251)))))) (let ((_let_1667 (forall ((BOUND_VARIABLE_23218 tptp.set_variable) (BOUND_VARIABLE_23219 tptp.set_variable) (BOUND_VARIABLE_23220 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23220))) (= (ll_39 BOUND_VARIABLE_23218 BOUND_VARIABLE_23219 BOUND_VARIABLE_23220) (and (@ _let_1 (@ tptp.collect_variable (@ (@ ll_252 BOUND_VARIABLE_23218) BOUND_VARIABLE_23219))) (@ _let_1 BOUND_VARIABLE_23219))))))) (let ((_let_1668 (forall ((BOUND_VARIABLE_23191 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_23192 tptp.produc62062515n_game) (BOUND_VARIABLE_23193 tptp.char)) (= (ll_38 BOUND_VARIABLE_23191 BOUND_VARIABLE_23192 BOUND_VARIABLE_23193) (@ (@ tptp.produc692578258on_trm (@ ll_251 BOUND_VARIABLE_23193)) BOUND_VARIABLE_23192))))) (let ((_let_1669 (forall ((BOUND_VARIABLE_23164 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_23165 tptp.produc62062515n_game) (BOUND_VARIABLE_23166 tptp.char)) (= (ll_37 BOUND_VARIABLE_23164 BOUND_VARIABLE_23165 BOUND_VARIABLE_23166) (@ (@ tptp.produc692578258on_trm (@ ll_250 BOUND_VARIABLE_23166)) BOUND_VARIABLE_23165))))) (let ((_let_1670 (forall ((BOUND_VARIABLE_23152 tptp.trm) (BOUND_VARIABLE_23153 tptp.set_variable) (BOUND_VARIABLE_23154 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23154))) (= (and (@ _let_1 (@ tptp.static_FVT BOUND_VARIABLE_23152)) (@ _let_1 BOUND_VARIABLE_23153)) (ll_36 BOUND_VARIABLE_23152 BOUND_VARIABLE_23153 BOUND_VARIABLE_23154)))))) (let ((_let_1671 (forall ((BOUND_VARIABLE_23124 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_23125 tptp.produc62062515n_game) (BOUND_VARIABLE_23126 tptp.char)) (= (ll_35 BOUND_VARIABLE_23124 BOUND_VARIABLE_23125 BOUND_VARIABLE_23126) (@ (@ tptp.produc692578258on_trm (@ ll_249 BOUND_VARIABLE_23126)) BOUND_VARIABLE_23125))))) (let ((_let_1672 (forall ((BOUND_VARIABLE_23112 tptp.trm) (BOUND_VARIABLE_23113 tptp.set_variable) (BOUND_VARIABLE_23114 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23114))) (= (and (@ _let_1 (@ tptp.static_FVT BOUND_VARIABLE_23112)) (@ _let_1 BOUND_VARIABLE_23113)) (ll_34 BOUND_VARIABLE_23112 BOUND_VARIABLE_23113 BOUND_VARIABLE_23114)))))) (let ((_let_1673 (forall ((BOUND_VARIABLE_23102 tptp.set_variable) (BOUND_VARIABLE_23103 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23103))) (= (and (@ _let_1 BOUND_VARIABLE_23102) (@ _let_1 (@ tptp.collect_variable tptp.bot_bot_variable_o))) (ll_33 BOUND_VARIABLE_23102 BOUND_VARIABLE_23103)))))) (let ((_let_1674 (forall ((BOUND_VARIABLE_23092 tptp.set_variable) (BOUND_VARIABLE_23093 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23093))) (= (and (@ _let_1 (@ tptp.collect_variable tptp.bot_bot_variable_o)) (@ _let_1 BOUND_VARIABLE_23092)) (ll_32 BOUND_VARIABLE_23092 BOUND_VARIABLE_23093)))))) (let ((_let_1675 (forall ((BOUND_VARIABLE_23068 tptp.produc1418842292n_game) (BOUND_VARIABLE_23069 tptp.char) (BOUND_VARIABLE_23070 tptp.set_variable) (BOUND_VARIABLE_23071 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23071))) (= (ll_31 BOUND_VARIABLE_23068 BOUND_VARIABLE_23069 BOUND_VARIABLE_23070 BOUND_VARIABLE_23071) (and (@ _let_1 (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm ll_8) BOUND_VARIABLE_23068) BOUND_VARIABLE_23069)))) (@ _let_1 BOUND_VARIABLE_23070))))))) (let ((_let_1676 (forall ((BOUND_VARIABLE_23039 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_23040 tptp.produc62062515n_game) (BOUND_VARIABLE_23041 tptp.char)) (= (ll_30 BOUND_VARIABLE_23039 BOUND_VARIABLE_23040 BOUND_VARIABLE_23041) (@ (@ tptp.produc692578258on_trm (@ (@ ll_248 BOUND_VARIABLE_23039) BOUND_VARIABLE_23041)) BOUND_VARIABLE_23040))))) (let ((_let_1677 (forall ((BOUND_VARIABLE_23010 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_23011 tptp.produc62062515n_game) (BOUND_VARIABLE_23012 tptp.char)) (= (ll_29 BOUND_VARIABLE_23010 BOUND_VARIABLE_23011 BOUND_VARIABLE_23012) (@ (@ tptp.produc692578258on_trm (@ (@ ll_247 BOUND_VARIABLE_23010) BOUND_VARIABLE_23012)) BOUND_VARIABLE_23011))))) (let ((_let_1678 (forall ((BOUND_VARIABLE_22998 tptp.trm) (BOUND_VARIABLE_22999 tptp.set_variable) (BOUND_VARIABLE_23000 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_23000))) (= (and (@ _let_1 (@ tptp.static_FVT BOUND_VARIABLE_22998)) (@ _let_1 BOUND_VARIABLE_22999)) (ll_28 BOUND_VARIABLE_22998 BOUND_VARIABLE_22999 BOUND_VARIABLE_23000)))))) (let ((_let_1679 (forall ((BOUND_VARIABLE_22969 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_22970 tptp.produc62062515n_game) (BOUND_VARIABLE_22971 tptp.char)) (= (ll_27 BOUND_VARIABLE_22969 BOUND_VARIABLE_22970 BOUND_VARIABLE_22971) (@ (@ tptp.produc692578258on_trm (@ (@ ll_246 BOUND_VARIABLE_22969) BOUND_VARIABLE_22971)) BOUND_VARIABLE_22970))))) (let ((_let_1680 (forall ((BOUND_VARIABLE_22957 tptp.trm) (BOUND_VARIABLE_22958 tptp.set_variable) (BOUND_VARIABLE_22959 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_22959))) (= (and (@ _let_1 (@ tptp.static_FVT BOUND_VARIABLE_22957)) (@ _let_1 BOUND_VARIABLE_22958)) (ll_26 BOUND_VARIABLE_22957 BOUND_VARIABLE_22958 BOUND_VARIABLE_22959)))))) (let ((_let_1681 (forall ((BOUND_VARIABLE_22933 tptp.produc1418842292n_game) (BOUND_VARIABLE_22934 tptp.char) (BOUND_VARIABLE_22935 tptp.set_variable) (BOUND_VARIABLE_22936 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_22936))) (= (ll_25 BOUND_VARIABLE_22933 BOUND_VARIABLE_22934 BOUND_VARIABLE_22935 BOUND_VARIABLE_22936) (and (@ _let_1 (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm ll_8) BOUND_VARIABLE_22933) BOUND_VARIABLE_22934)))) (@ _let_1 BOUND_VARIABLE_22935))))))) (let ((_let_1682 (forall ((BOUND_VARIABLE_22904 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_22905 tptp.produc62062515n_game) (BOUND_VARIABLE_22906 tptp.char)) (= (ll_24 BOUND_VARIABLE_22904 BOUND_VARIABLE_22905 BOUND_VARIABLE_22906) (@ (@ tptp.produc692578258on_trm (@ (@ ll_245 BOUND_VARIABLE_22904) BOUND_VARIABLE_22906)) BOUND_VARIABLE_22905))))) (let ((_let_1683 (forall ((BOUND_VARIABLE_22875 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_22876 tptp.produc62062515n_game) (BOUND_VARIABLE_22877 tptp.char)) (= (ll_23 BOUND_VARIABLE_22875 BOUND_VARIABLE_22876 BOUND_VARIABLE_22877) (@ (@ tptp.produc692578258on_trm (@ (@ ll_244 BOUND_VARIABLE_22875) BOUND_VARIABLE_22877)) BOUND_VARIABLE_22876))))) (let ((_let_1684 (forall ((BOUND_VARIABLE_22863 tptp.trm) (BOUND_VARIABLE_22864 tptp.set_variable) (BOUND_VARIABLE_22865 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_22865))) (= (and (@ _let_1 (@ tptp.static_FVT BOUND_VARIABLE_22863)) (@ _let_1 BOUND_VARIABLE_22864)) (ll_22 BOUND_VARIABLE_22863 BOUND_VARIABLE_22864 BOUND_VARIABLE_22865)))))) (let ((_let_1685 (forall ((BOUND_VARIABLE_22834 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_22835 tptp.produc62062515n_game) (BOUND_VARIABLE_22836 tptp.char)) (= (ll_21 BOUND_VARIABLE_22834 BOUND_VARIABLE_22835 BOUND_VARIABLE_22836) (@ (@ tptp.produc692578258on_trm (@ (@ ll_243 BOUND_VARIABLE_22834) BOUND_VARIABLE_22836)) BOUND_VARIABLE_22835))))) (let ((_let_1686 (forall ((BOUND_VARIABLE_22822 tptp.trm) (BOUND_VARIABLE_22823 tptp.set_variable) (BOUND_VARIABLE_22824 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_22824))) (= (and (@ _let_1 (@ tptp.static_FVT BOUND_VARIABLE_22822)) (@ _let_1 BOUND_VARIABLE_22823)) (ll_20 BOUND_VARIABLE_22822 BOUND_VARIABLE_22823 BOUND_VARIABLE_22824)))))) (let ((_let_1687 (forall ((BOUND_VARIABLE_22793 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_22794 tptp.produc62062515n_game) (BOUND_VARIABLE_22795 tptp.char)) (= (ll_19 BOUND_VARIABLE_22793 BOUND_VARIABLE_22794 BOUND_VARIABLE_22795) (@ (@ tptp.produc692578258on_trm (@ (@ ll_242 BOUND_VARIABLE_22793) BOUND_VARIABLE_22795)) BOUND_VARIABLE_22794))))) (let ((_let_1688 (forall ((BOUND_VARIABLE_22774 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_22774))) (= (ll_18 BOUND_VARIABLE_22774) (and (@ _let_1 (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm ll_241) tptp.sigma) tptp.f)))) (@ _let_1 tptp.u))))))) (let ((_let_1689 (forall ((BOUND_VARIABLE_22745 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_22746 tptp.produc62062515n_game) (BOUND_VARIABLE_22747 tptp.char)) (= (ll_17 BOUND_VARIABLE_22745 BOUND_VARIABLE_22746 BOUND_VARIABLE_22747) (@ (@ tptp.produc692578258on_trm (@ (@ ll_240 BOUND_VARIABLE_22745) BOUND_VARIABLE_22747)) BOUND_VARIABLE_22746))))) (let ((_let_1690 (forall ((BOUND_VARIABLE_22726 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_22726))) (= (ll_16 BOUND_VARIABLE_22726) (and (@ _let_1 (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm ll_239) tptp.sigma) tptp.f)))) (@ _let_1 tptp.u))))))) (let ((_let_1691 (forall ((BOUND_VARIABLE_22713 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_22713))) (= (ll_15 BOUND_VARIABLE_22713) (and (@ _let_1 (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm ll_8) tptp.sigma) tptp.f)))) (@ _let_1 tptp.u))))))) (let ((_let_1692 (forall ((BOUND_VARIABLE_22684 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_22685 tptp.produc62062515n_game) (BOUND_VARIABLE_22686 tptp.char)) (= (ll_14 BOUND_VARIABLE_22684 BOUND_VARIABLE_22685 BOUND_VARIABLE_22686) (@ (@ tptp.produc692578258on_trm (@ (@ ll_238 BOUND_VARIABLE_22684) BOUND_VARIABLE_22686)) BOUND_VARIABLE_22685))))) (let ((_let_1693 (forall ((BOUND_VARIABLE_22665 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_22665))) (= (ll_13 BOUND_VARIABLE_22665) (and (@ _let_1 (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm ll_237) tptp.sigma) tptp.f)))) (@ _let_1 tptp.v))))))) (let ((_let_1694 (forall ((BOUND_VARIABLE_22636 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_22637 tptp.produc62062515n_game) (BOUND_VARIABLE_22638 tptp.char)) (= (ll_12 BOUND_VARIABLE_22636 BOUND_VARIABLE_22637 BOUND_VARIABLE_22638) (@ (@ tptp.produc692578258on_trm (@ (@ ll_236 BOUND_VARIABLE_22636) BOUND_VARIABLE_22638)) BOUND_VARIABLE_22637))))) (let ((_let_1695 (forall ((BOUND_VARIABLE_22617 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_22617))) (= (ll_11 BOUND_VARIABLE_22617) (and (@ _let_1 (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm ll_235) tptp.sigma) tptp.f)))) (@ _let_1 tptp.v))))))) (let ((_let_1696 (forall ((BOUND_VARIABLE_22603 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_22603))) (= (ll_10 BOUND_VARIABLE_22603) (and (@ _let_1 (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm ll_8) tptp.sigma) tptp.f)))) (@ _let_1 tptp.v))))))) (let ((_let_1697 (forall ((BOUND_VARIABLE_22579 tptp.produc1418842292n_game) (BOUND_VARIABLE_22580 tptp.char) (BOUND_VARIABLE_22581 tptp.set_variable) (BOUND_VARIABLE_22582 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_22582))) (= (ll_9 BOUND_VARIABLE_22579 BOUND_VARIABLE_22580 BOUND_VARIABLE_22581 BOUND_VARIABLE_22582) (and (@ _let_1 (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm ll_8) BOUND_VARIABLE_22579) BOUND_VARIABLE_22580)))) (@ _let_1 BOUND_VARIABLE_22581))))))) (let ((_let_1698 (forall ((BOUND_VARIABLE_22550 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_22551 tptp.produc62062515n_game) (BOUND_VARIABLE_22552 tptp.char)) (= (ll_8 BOUND_VARIABLE_22550 BOUND_VARIABLE_22551 BOUND_VARIABLE_22552) (@ (@ tptp.produc692578258on_trm (@ (@ ll_234 BOUND_VARIABLE_22550) BOUND_VARIABLE_22552)) BOUND_VARIABLE_22551))))) (let ((_let_1699 (forall ((BOUND_VARIABLE_22536 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_22536))) (= (ll_7 BOUND_VARIABLE_22536) (and (@ _let_1 (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm ll_6) tptp.sigma) tptp.f)))) (@ _let_1 tptp.u))))))) (let ((_let_1700 (forall ((BOUND_VARIABLE_22507 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_22508 tptp.produc62062515n_game) (BOUND_VARIABLE_22509 tptp.char)) (= (ll_6 BOUND_VARIABLE_22507 BOUND_VARIABLE_22508 BOUND_VARIABLE_22509) (@ (@ tptp.produc692578258on_trm (@ (@ ll_233 BOUND_VARIABLE_22507) BOUND_VARIABLE_22509)) BOUND_VARIABLE_22508))))) (let ((_let_1701 (forall ((BOUND_VARIABLE_22478 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_22479 tptp.produc62062515n_game) (BOUND_VARIABLE_22480 tptp.char)) (= (ll_5 BOUND_VARIABLE_22478 BOUND_VARIABLE_22479 BOUND_VARIABLE_22480) (@ (@ tptp.produc692578258on_trm (@ (@ ll_232 BOUND_VARIABLE_22478) BOUND_VARIABLE_22480)) BOUND_VARIABLE_22479))))) (let ((_let_1702 (forall ((BOUND_VARIABLE_22459 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_22459))) (= (ll_4 BOUND_VARIABLE_22459) (and (@ _let_1 (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm ll_231) tptp.sigma) tptp.f)))) (@ _let_1 tptp.v))))))) (let ((_let_1703 (forall ((BOUND_VARIABLE_22429 (-> tptp.char tptp.option_trm)) (BOUND_VARIABLE_22430 tptp.produc62062515n_game) (BOUND_VARIABLE_22431 tptp.char)) (= (ll_3 BOUND_VARIABLE_22429 BOUND_VARIABLE_22430 BOUND_VARIABLE_22431) (@ (@ tptp.produc692578258on_trm (@ (@ ll_230 BOUND_VARIABLE_22429) BOUND_VARIABLE_22431)) BOUND_VARIABLE_22430))))) (let ((_let_1704 (forall ((BOUND_VARIABLE_22410 tptp.variable)) (let ((_let_1 (@ tptp.member_variable BOUND_VARIABLE_22410))) (= (ll_2 BOUND_VARIABLE_22410) (and (@ _let_1 (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm ll_229) tptp.sigma) tptp.f)))) (@ _let_1 tptp.u))))))) (let ((_let_1705 (and (forall ((BOUND_VARIABLE_7910 tptp.option_trm) (BOUND_VARIABLE_7912 (-> tptp.trm tptp.option_trm))) (= BOUND_VARIABLE_7910 (@ (@ (@ tptp.if_option_trm true) BOUND_VARIABLE_7910) (@ BOUND_VARIABLE_7912 (@ tptp.the_trm tptp.none_trm))))) (forall ((BOUND_VARIABLE_7925 tptp.option_trm) (BOUND_VARIABLE_7927 (-> tptp.trm tptp.option_trm)) (BOUND_VARIABLE_7929 tptp.option_trm)) (let ((_let_1 (@ BOUND_VARIABLE_7927 (@ tptp.the_trm BOUND_VARIABLE_7929)))) (let ((_let_2 (= tptp.none_trm BOUND_VARIABLE_7929))) (or _let_2 (= _let_1 (@ (@ (@ tptp.if_option_trm _let_2) BOUND_VARIABLE_7925) _let_1)))))) _let_1704 _let_1703 _let_1702 _let_1701 _let_1700 _let_1699 _let_1698 _let_1697 _let_1696 _let_1695 _let_1694 _let_1693 _let_1692 _let_1691 _let_1690 _let_1689 _let_1688 _let_1687 _let_1686 _let_1685 _let_1684 _let_1683 _let_1682 _let_1681 _let_1680 _let_1679 _let_1678 _let_1677 _let_1676 _let_1675 _let_1674 _let_1673 _let_1672 _let_1671 _let_1670 _let_1669 _let_1668 _let_1667 _let_1666 _let_1665 _let_1664 _let_1663 _let_1662 _let_1661 _let_1660 _let_1659 _let_1658 _let_1657 _let_1656 _let_1655 _let_1654 _let_1653 _let_1652 _let_1651 _let_1650 _let_1649 _let_1648 _let_1647 _let_1646 _let_1645 _let_1644 _let_1643 _let_1642 _let_1641 _let_1640 _let_1639 _let_1638 _let_1637 _let_1636 _let_1635 _let_1634 _let_1633 _let_1632 _let_1631 _let_1630 _let_1629 _let_1628 _let_1627 _let_1626 _let_1625 _let_1624 _let_1623 _let_1622 _let_1621 _let_1620 _let_1619 _let_1618 _let_1617 _let_1616 _let_1615 _let_1614 _let_1613 _let_1612 _let_1611 _let_1610 _let_1609 _let_1608 _let_1607 _let_1606 _let_1605 _let_1604 _let_1603 _let_1602 _let_1601 _let_1600 _let_1599 _let_1598 _let_1597 _let_1596 _let_1595 _let_1594 _let_1593 _let_1592 _let_1591 _let_1590 _let_1589 _let_1588 _let_1587 _let_1586 _let_1585 _let_1584 _let_1583 _let_1582 _let_1581 _let_1580 _let_1579 _let_1578 _let_1577 _let_1576 _let_1575 _let_1574 _let_1573 _let_1572 _let_1571 _let_1570 _let_1569 _let_1568 _let_1567 _let_1566 _let_1565 _let_1564 _let_1563 _let_1562 _let_1561 _let_1560 _let_1559 _let_1558 _let_1557 _let_1556 _let_1555 _let_1554 _let_1553 _let_1552 _let_1551 _let_1550 _let_1549 _let_1548 _let_1547 _let_1546 _let_1545 _let_1544 _let_1543 _let_1542 _let_1541 _let_1540 _let_1539 _let_1538 _let_1537 _let_1536 _let_1535 _let_1534 _let_1533 _let_1532 _let_1531 _let_1530 _let_1529 _let_1528 _let_1527 _let_1526 _let_1525 _let_1524 _let_1523 _let_1522 _let_1521 _let_1520 _let_1519 _let_1518 _let_1517 _let_1516 _let_1515 _let_1514 _let_1513 _let_1512 _let_1511 _let_1510 _let_1509 _let_1508 _let_1507 _let_1506 _let_1505 _let_1504 _let_1503 _let_1502 _let_1501 _let_1500 _let_1499 _let_1498 _let_1497 _let_1496 _let_1495 _let_1494 _let_1493 _let_1492 _let_1491 _let_1490 _let_1489 _let_1488 _let_1487 _let_1486 _let_1485 _let_1484 _let_1483 _let_1482 _let_1481 _let_1480 _let_1479 _let_1478 _let_1477 _let_1476 _let_1475 _let_1474 _let_1473 _let_1472 _let_1471 _let_1470 _let_1469 _let_1468 _let_1467 _let_1466 _let_1465 _let_1464 _let_1463 _let_1462 _let_1461 _let_1460 _let_1459 _let_1458 _let_1457 _let_1456 _let_1455 _let_1454 _let_1453 _let_1452 _let_1451 _let_1450 _let_1449 _let_1448 _let_1447 _let_1446 _let_1445 _let_1444 _let_1443 _let_1442 _let_1441 _let_1440 _let_1439 _let_1438 _let_1437 _let_1436 _let_1435 _let_1434 _let_1433 _let_1432 _let_1431 _let_1430 _let_1429 _let_1428 _let_1427 _let_1426 _let_1425 _let_1424 _let_1423 _let_1422 _let_1421 _let_1420 _let_1419 _let_1418 _let_1417 _let_1416 _let_1415 _let_1414 _let_1413 _let_1412 _let_1411 _let_1410 _let_1409 _let_1408 _let_1407 _let_1406 _let_1405 _let_1404 _let_1403 _let_1402 _let_1401 _let_1400 _let_1399 _let_1398 _let_1397 _let_1396 _let_1395 _let_1394 _let_1393 _let_1392 _let_1391 _let_1390 _let_1389 _let_1388 _let_1387 _let_1386 _let_1385 _let_1384 _let_1383 _let_1382 _let_1381 _let_1380 _let_1379 _let_1378 _let_1377 _let_1376 _let_1375 _let_1374 _let_1373 _let_1372 _let_1371 _let_1370 _let_1369 _let_1368 _let_1367 _let_1366 _let_1365 _let_1364 _let_1363 _let_1362 _let_1361 _let_1360 _let_1359 _let_1358 _let_1357 _let_1356 _let_1355 _let_1354 _let_1353 _let_1352 _let_1351 _let_1350 _let_1349 _let_1348 _let_1347 _let_1346 _let_1345 _let_1344 _let_1343 _let_1342 _let_1341 _let_1340 _let_1339 _let_1338 _let_1337 _let_1336 _let_1335 _let_1334 _let_1333 _let_1332 _let_1331 _let_1330 _let_1329 _let_1328 _let_1327 _let_1326 _let_1325 _let_1324))) (let ((_let_1706 (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_52)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_52 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_103 :args ((and (forall ((BOUND_VARIABLE_7910 tptp.option_trm) (BOUND_VARIABLE_7912 (-> tptp.trm tptp.option_trm))) (= BOUND_VARIABLE_7910 (@ (@ (@ tptp.case_o487727941rm_trm BOUND_VARIABLE_7910) BOUND_VARIABLE_7912) tptp.none_trm))) (forall ((BOUND_VARIABLE_7925 tptp.option_trm) (BOUND_VARIABLE_7927 (-> tptp.trm tptp.option_trm)) (BOUND_VARIABLE_7929 tptp.option_trm)) (or (= tptp.none_trm BOUND_VARIABLE_7929) (= (@ (@ (@ tptp.case_o487727941rm_trm BOUND_VARIABLE_7925) BOUND_VARIABLE_7927) BOUND_VARIABLE_7929) (@ BOUND_VARIABLE_7927 (@ tptp.the_trm BOUND_VARIABLE_7929)))))) SB_DEFAULT SBA_FIXPOINT)))) (PREPROCESS :args ((and _let_1704 _let_1703 _let_1702 _let_1701 _let_1700 _let_1699 _let_1698 _let_1697 _let_1696 _let_1695 _let_1694 _let_1693 _let_1692 _let_1691 _let_1690 _let_1689 _let_1688 _let_1687 _let_1686 _let_1685 _let_1684 _let_1683 _let_1682 _let_1681 _let_1680 _let_1679 _let_1678 _let_1677 _let_1676 _let_1675 _let_1674 _let_1673 _let_1672 _let_1671 _let_1670 _let_1669 _let_1668 _let_1667 _let_1666 _let_1665 _let_1664 _let_1663 _let_1662 _let_1661 _let_1660 _let_1659 _let_1658 _let_1657 _let_1656 _let_1655 _let_1654 _let_1653 _let_1652 _let_1651 _let_1650 _let_1649 _let_1648 _let_1647 _let_1646 _let_1645 _let_1644 _let_1643 _let_1642 _let_1641 _let_1640 _let_1639 _let_1638 _let_1637 _let_1636 _let_1635 _let_1634 _let_1633 _let_1632 _let_1631 _let_1630 _let_1629 _let_1628 _let_1627 _let_1626 _let_1625 _let_1624 _let_1623 _let_1622 _let_1621 _let_1620 _let_1619 _let_1618 _let_1617 _let_1616 _let_1615 _let_1614 _let_1613 _let_1612 _let_1611 _let_1610 _let_1609 _let_1608 _let_1607 _let_1606 _let_1605 _let_1604 _let_1603 _let_1602 _let_1601 _let_1600 _let_1599 _let_1598 _let_1597 _let_1596 _let_1595 _let_1594 _let_1593 _let_1592 _let_1591 _let_1590 _let_1589 _let_1588 _let_1587 _let_1586 _let_1585 _let_1584 _let_1583 _let_1582 _let_1581 _let_1580 _let_1579 _let_1578 _let_1577 _let_1576 _let_1575 _let_1574 _let_1573 _let_1572 _let_1571 _let_1570 _let_1569 _let_1568 _let_1567 _let_1566 _let_1565 _let_1564 _let_1563 _let_1562 _let_1561 _let_1560 _let_1559 _let_1558 _let_1557 _let_1556 _let_1555 _let_1554 _let_1553 _let_1552 _let_1551 _let_1550 _let_1549 _let_1548 _let_1547 _let_1546 _let_1545 _let_1544 _let_1543 _let_1542 _let_1541 _let_1540 _let_1539 _let_1538 _let_1537 _let_1536 _let_1535 _let_1534 _let_1533 _let_1532 _let_1531 _let_1530 _let_1529 _let_1528 _let_1527 _let_1526 _let_1525 _let_1524 _let_1523 _let_1522 _let_1521 _let_1520 _let_1519 _let_1518 _let_1517 _let_1516 _let_1515 _let_1514 _let_1513 _let_1512 _let_1511 _let_1510 _let_1509 _let_1508 _let_1507 _let_1506 _let_1505 _let_1504 _let_1503 _let_1502 _let_1501 _let_1500 _let_1499 _let_1498 _let_1497 _let_1496 _let_1495 _let_1494 _let_1493 _let_1492 _let_1491 _let_1490 _let_1489 _let_1488 _let_1487 _let_1486 _let_1485 _let_1484 _let_1483 _let_1482 _let_1481 _let_1480 _let_1479 _let_1478 _let_1477 _let_1476 _let_1475 _let_1474 _let_1473 _let_1472 _let_1471 _let_1470 _let_1469 _let_1468 _let_1467 _let_1466 _let_1465 _let_1464 _let_1463 _let_1462 _let_1461 _let_1460 _let_1459 _let_1458 _let_1457 _let_1456 _let_1455 _let_1454 _let_1453 _let_1452 _let_1451 _let_1450 _let_1449 _let_1448 _let_1447 _let_1446 _let_1445 _let_1444 _let_1443 _let_1442 _let_1441 _let_1440 _let_1439 _let_1438 _let_1437 _let_1436 _let_1435 _let_1434 _let_1433 _let_1432 _let_1431 _let_1430 _let_1429 _let_1428 _let_1427 _let_1426 _let_1425 _let_1424 _let_1423 _let_1422 _let_1421 _let_1420 _let_1419 _let_1418 _let_1417 _let_1416 _let_1415 _let_1414 _let_1413 _let_1412 _let_1411 _let_1410 _let_1409 _let_1408 _let_1407 _let_1406 _let_1405 _let_1404 _let_1403 _let_1402 _let_1401 _let_1400 _let_1399 _let_1398 _let_1397 _let_1396 _let_1395 _let_1394 _let_1393 _let_1392 _let_1391 _let_1390 _let_1389 _let_1388 _let_1387 _let_1386 _let_1385 _let_1384 _let_1383 _let_1382 _let_1381 _let_1380 _let_1379 _let_1378 _let_1377 _let_1376 _let_1375 _let_1374 _let_1373 _let_1372 _let_1371 _let_1370 _let_1369 _let_1368 _let_1367 _let_1366 _let_1365 _let_1364 _let_1363 _let_1362 _let_1361 _let_1360 _let_1359 _let_1358 _let_1357 _let_1356 _let_1355 _let_1354 _let_1353 _let_1352 _let_1351 _let_1350 _let_1349 _let_1348 _let_1347 _let_1346 _let_1345 _let_1344 _let_1343 _let_1342 _let_1341 _let_1340 _let_1339 _let_1338 _let_1337 _let_1336 _let_1335 _let_1334 _let_1333 _let_1332 _let_1331 _let_1330 _let_1329 _let_1328 _let_1327 _let_1326 _let_1325 _let_1324)))) :args (_let_1705)) (PREPROCESS :args ((= _let_1705 (and _let_1323 _let_1322 _let_1321 _let_1320 _let_1319 _let_1318 _let_1317 _let_1316 _let_1315 _let_1314 _let_305 _let_1313 _let_1312 _let_1311 _let_1310 _let_1309 _let_1308 _let_1307 _let_1306 _let_1305 _let_1304 _let_1303 _let_1302 _let_1301 _let_1300 _let_1299 _let_1298 _let_1297 _let_1296 _let_1295 _let_1294 _let_1293 _let_1292 _let_1291 _let_1290 _let_1289 _let_1288 _let_1287 _let_1286 _let_1285 _let_1284 _let_1283 _let_1282 _let_1281 _let_1280 _let_1279 _let_1278 _let_1277 _let_1276 _let_1275 _let_1274 _let_1273 _let_1272 _let_1271 _let_1270 _let_1269 _let_1268 _let_1267 _let_1266 _let_1265 _let_1264 _let_1263 _let_1262 _let_1261 _let_1260 _let_1259 _let_1258 _let_1257 _let_1256 _let_1255 _let_1254 _let_1253 _let_1252 _let_1251 _let_1250 _let_1249 _let_1248 _let_1247 _let_1246 _let_1245 _let_1244 _let_1243 _let_1242 _let_1241 _let_1240 _let_1239 _let_1238 _let_1237 _let_1236 _let_1235 _let_1234 _let_1233 _let_1232 _let_1231 _let_1230 _let_1229 _let_1228 _let_1227 _let_1226 _let_1225 _let_1224 _let_1223 _let_1222 _let_1221 _let_1220 _let_1219 _let_1218 _let_1217 _let_1216 _let_1215 _let_1214 _let_1213 _let_1212 _let_1211 _let_1210 _let_1209 _let_1208 _let_1207 _let_1206 _let_1205 _let_1204 _let_1203 _let_1202 _let_1201 _let_1200 _let_1199 _let_1198 _let_1197 _let_1196 _let_1195 _let_1194 _let_1193 _let_1192 _let_1191 _let_1190 _let_1189 _let_1188 _let_1187 _let_1186 _let_1185 _let_1184 _let_1183 _let_1182 _let_1181 _let_1180 _let_1179 _let_1178 _let_1177 _let_1176 _let_1175 _let_1174 _let_1173 _let_1172 _let_1171 _let_1170 _let_1169 _let_1168 _let_1167 _let_1166 _let_1165 _let_1164 _let_1163 _let_1162 _let_1161 _let_1160 _let_1159 _let_1158 _let_1157 _let_1156 _let_1155 _let_1154 _let_1153 _let_1152 _let_1151 _let_1150 _let_1149 _let_1148 _let_1147 _let_1146 _let_1145 _let_1144 _let_1143 _let_1142 _let_1141 _let_1140 _let_1139 _let_1138 _let_1137 _let_1136 _let_1135 _let_1134 _let_1133 _let_1132 _let_1131 _let_1130 _let_1129 _let_1128 _let_1127 _let_1126 _let_1125 _let_1124 _let_1123 _let_1122 _let_1121 _let_1120 _let_1119 _let_1118 _let_1117 _let_1116 _let_1115 _let_1114 _let_1113 _let_1112 _let_1111 _let_1110 _let_1109 _let_1108 _let_1107 _let_1106 _let_1105 _let_1104 _let_1103 _let_1102 _let_1101 _let_1100 _let_1099 _let_1098 _let_1097 _let_1096 _let_1095 _let_1094 _let_1093 _let_1092 _let_1091 _let_1090 _let_1089 _let_1088 _let_1087 _let_1086 _let_1085 _let_1084 _let_1083 _let_1082 _let_1081 _let_1080 _let_1079 _let_1078 _let_1077 _let_1076 _let_1075 _let_1074 _let_1073 _let_1072 _let_1071 _let_1070 _let_1069 _let_1068 _let_1067 _let_1066 _let_1065 _let_1064 _let_1063 _let_1062 _let_1061 _let_1060 _let_1059 _let_1058 _let_1057 _let_1056 _let_1055 _let_1054 _let_1053 _let_1052 _let_1051 _let_1050 _let_1049 _let_1048 _let_1047 _let_1046 _let_1045 _let_1044 _let_1043 _let_1042 _let_1041 _let_1040 _let_1039 _let_1038 _let_1037 _let_1036 _let_1035 _let_1034 _let_1033 _let_1032 _let_1031 _let_1030 _let_1029 _let_1028 _let_1027 _let_1026 _let_1025 _let_1024 _let_1023 _let_1022 _let_1021 _let_1020 _let_1019 _let_1018 _let_1017 _let_1016 _let_1015 _let_1014 _let_1013 _let_1012 _let_1011 _let_1010 _let_1009 _let_1008 _let_1007 _let_1006 _let_1005 _let_1004 _let_1003 _let_1002 _let_1001 _let_1000 _let_999 _let_998 _let_997 _let_996 _let_995 _let_994 _let_993 _let_992 _let_991 _let_990 _let_989 _let_988 _let_987 _let_986 _let_985 _let_984 _let_983 _let_982 _let_981 _let_980 _let_979 _let_978 _let_977 _let_976 _let_975 _let_974 _let_973 _let_972 _let_971 _let_970 _let_969 _let_968 _let_967 _let_966 _let_965 _let_964 _let_963 _let_962 _let_961 _let_960 _let_959 _let_958 _let_957 _let_956 _let_955 _let_954 _let_953 _let_952 _let_951 _let_950 _let_949 _let_948 _let_947 _let_946 _let_945 _let_944 _let_943 _let_942))))) (PREPROCESS :args ((and _let_941 _let_940 _let_939 _let_938 _let_937 _let_936 _let_935 _let_934 _let_933 _let_932 _let_931 _let_930 _let_929 _let_928 _let_927 _let_926 _let_925 _let_924 _let_923 _let_922 _let_921 _let_920 _let_919 _let_918 _let_917 _let_916 _let_915 _let_914 _let_913 _let_912 _let_911 _let_910 _let_909 _let_908 _let_907 _let_906 _let_905 _let_904 _let_903 _let_902 _let_901 _let_900 _let_899 _let_898 _let_897 _let_896 _let_895 _let_894 _let_893 _let_892 _let_891 _let_890 _let_889 _let_888 _let_887 _let_886 _let_885 _let_884 _let_883 _let_882 _let_881 _let_880 _let_879 _let_878 _let_877 _let_876 _let_875 _let_874 _let_873 _let_872 _let_871 _let_870 _let_869 _let_868 _let_867 _let_866 _let_865 _let_864 _let_863 _let_862 _let_861 _let_860 _let_859 _let_858 _let_857 _let_856 _let_855 _let_854 _let_853 _let_852 _let_851 _let_850 _let_849 _let_848 _let_847 _let_846 _let_845 _let_844 _let_843 _let_842 _let_841 _let_840 _let_839 _let_838 _let_837 _let_836 _let_835 _let_834 _let_833 _let_832 _let_831 _let_830 _let_829 _let_828 _let_827 _let_826 _let_825 _let_824 _let_823 _let_822 _let_821 _let_820 _let_819 _let_818 _let_817 _let_816 _let_815 _let_814 _let_813 _let_812 _let_811 _let_810 _let_809 _let_808 _let_807 _let_806 _let_805 _let_804 _let_803 _let_802 _let_801 _let_800 _let_799 _let_798 _let_797 _let_796 _let_795 _let_794 _let_793 _let_792 _let_791 _let_790 _let_789 _let_788 _let_787 _let_786 _let_785 _let_784 _let_783 _let_782 _let_781 _let_780 _let_779 _let_778 _let_777 _let_776 _let_775 _let_774 _let_773 _let_772 _let_771 _let_770 _let_769 _let_768 _let_767 _let_766 _let_765 _let_764 _let_763 _let_762 _let_761 _let_760 _let_759 _let_758 _let_757 _let_756 _let_755 _let_754 _let_753 _let_752 _let_751 _let_750 _let_749 _let_748 _let_747 _let_746 _let_745 _let_744 _let_743 _let_742 _let_741 _let_740 _let_739 _let_738 _let_737 _let_736 _let_735 _let_734 _let_733 _let_732 _let_731 _let_730 _let_729 _let_728 _let_727 _let_726 _let_725 _let_724 _let_723 _let_722 _let_721 _let_720 _let_719 _let_718 _let_717 _let_716 _let_715 _let_714 _let_713 _let_712 _let_711 _let_710 _let_709 _let_708 _let_707 _let_706 _let_705 _let_704 _let_703 _let_702 _let_701 _let_700 _let_699 _let_698 _let_697 _let_696 _let_695 _let_694 _let_693 _let_692 _let_691 _let_690 _let_689 _let_688 _let_687 _let_686 _let_685 _let_684 _let_683 _let_682 _let_681 _let_680 _let_679 _let_678 _let_677 _let_676 _let_675 _let_674 _let_673 _let_672 _let_671 _let_670 _let_669 _let_668 _let_667 _let_666 _let_665 _let_664 _let_663 _let_662 _let_661 _let_660 _let_659 _let_658 _let_657 _let_656 _let_655 _let_654 _let_653 _let_652 _let_651 _let_650 _let_649 _let_648 _let_647 _let_646 _let_645 _let_644 _let_643 _let_642 _let_641 _let_640 _let_639 _let_638 _let_637 _let_636 _let_635 _let_634 _let_633 _let_632 _let_631 _let_630 _let_629 _let_628 _let_627 _let_626 _let_625 _let_624 _let_623 _let_622 _let_621 _let_620 _let_619 _let_618 _let_617 _let_616 _let_615 _let_614 _let_613 _let_612 _let_611 _let_610 _let_609 _let_608 _let_607 _let_606 _let_605 _let_604 _let_603 _let_602 _let_601 _let_600 _let_599 _let_598 _let_597 _let_596 _let_595 _let_594 _let_593 _let_592 _let_591 _let_590 _let_589 _let_588 _let_587 _let_586 _let_585 _let_584 _let_583 _let_582 _let_581 _let_580 _let_579 _let_578 _let_577 _let_576 _let_575 _let_574 _let_573 _let_572 _let_571 _let_570 _let_569 _let_568 _let_567 _let_566 _let_565 _let_564 _let_563 _let_562 _let_561 _let_560 _let_559 _let_558 _let_557 _let_556 _let_555 _let_554 _let_553 _let_552 _let_551 _let_550 _let_549 _let_548 _let_547 _let_546 _let_545 _let_544 _let_543 _let_542 _let_541 _let_540 _let_539 _let_538 _let_537 _let_536 _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_435 _let_434 _let_433 _let_432 _let_431 _let_430 _let_429 _let_428 _let_427 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306)))) :args ((and _let_1323 _let_1322 _let_1321 _let_1320 _let_1319 _let_1318 _let_1317 _let_1316 _let_1315 _let_1314 _let_305 _let_1313 _let_1312 _let_1311 _let_1310 _let_1309 _let_1308 _let_1307 _let_1306 _let_1305 _let_1304 _let_1303 _let_1302 _let_1301 _let_1300 _let_1299 _let_1298 _let_1297 _let_1296 _let_1295 _let_1294 _let_1293 _let_1292 _let_1291 _let_1290 _let_1289 _let_1288 _let_1287 _let_1286 _let_1285 _let_1284 _let_1283 _let_1282 _let_1281 _let_1280 _let_1279 _let_1278 _let_1277 _let_1276 _let_1275 _let_1274 _let_1273 _let_1272 _let_1271 _let_1270 _let_1269 _let_1268 _let_1267 _let_1266 _let_1265 _let_1264 _let_1263 _let_1262 _let_1261 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_let_623 _let_622 _let_621 _let_620 _let_619 _let_618 _let_617 _let_616 _let_615 _let_614 _let_613 _let_612 _let_611 _let_610 _let_609 _let_608 _let_607 _let_606 _let_605 _let_604 _let_603 _let_602 _let_601 _let_600 _let_599 _let_598 _let_597 _let_596 _let_595 _let_594 _let_593 _let_592 _let_591 _let_590 _let_589 _let_588 _let_587 _let_586 _let_585 _let_584 _let_583 _let_582 _let_581 _let_580 _let_579 _let_578 _let_577 _let_576 _let_575 _let_574 _let_573 _let_572 _let_571 _let_570 _let_569 _let_568 _let_567 _let_566 _let_565 _let_564 _let_563 _let_562 _let_561 _let_560 _let_559 _let_558 _let_557 _let_556 _let_555 _let_554 _let_553 _let_552 _let_551 _let_550 _let_549 _let_548 _let_547 _let_546 _let_545 _let_544 _let_543 _let_542 _let_541 _let_540 _let_539 _let_538 _let_537 _let_536 _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_435 _let_434 _let_433 _let_432 _let_431 _let_430 _let_429 _let_428 _let_427 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306))))) (let ((_let_1707 (_let_305))) (let ((_let_1708 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_1707) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_1193 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((ho_526 k_1021 BOUND_VARIABLE_22603)))) :args _let_1707))) (AND_ELIM _let_1706 :args (10)) :args (_let_178 false _let_305)))) (let ((_let_1709 (REORDERING (CNF_EQUIV_POS1 :args (_let_178)) :args ((or _let_302 _let_177 (not _let_178)))))) (let ((_let_1710 (_let_1314))) (let ((_let_1711 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_1710) :args (tptp.sigma tptp.f tptp.v SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_1193 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_1710)) (AND_ELIM _let_1706 :args (9)) :args (_let_181 false _let_1314)))) (let ((_let_1712 (REORDERING (CNF_EQUIV_POS1 :args (_let_181)) :args ((or (not _let_177) _let_180 (not _let_181)))))) (let ((_let_1713 (= tptp.bot_bot_variable_o ll_161))) (let ((_let_1714 (EQ_RESOLVE (ASSUME :args (_let_24)) (TRANS (MACRO_SR_EQ_INTRO _let_95 :args (_let_24 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (= tptp.bot_bot_variable_o (lambda ((X tptp.variable)) (@ (@ tptp.member_variable X) (@ tptp.collect_variable tptp.bot_bot_variable_o)))) _let_1713))) (PREPROCESS :args ((= _let_1713 _let_182))))))) (let ((_let_1715 (= _let_113 (ho_834 k_833 k_904)))) (let ((_let_1716 (= _let_1715 _let_183))) (let ((_let_1717 (forall ((BOUND_VARIABLE_39070 |u_(-> tptp.variable Bool)|)) (= (= (ho_834 k_833 k_832) (ho_834 k_833 BOUND_VARIABLE_39070)) (= k_832 BOUND_VARIABLE_39070))))) (let ((_let_1718 (EQ_RESOLVE (ASSUME :args (_let_23)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_95 :args ((forall ((P (-> tptp.variable Bool))) (= (= tptp.bot_bot_set_variable (@ tptp.collect_variable P)) (= tptp.bot_bot_variable_o P))) SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((P (-> tptp.variable Bool))) (= (= tptp.bot_bot_variable_o P) (= (@ tptp.collect_variable tptp.bot_bot_variable_o) (@ tptp.collect_variable P)))) _let_1717))))))) (let ((_let_1719 (_let_1717))) (let ((_let_1720 (= _let_29 (@ tptp.collect_variable ll_119)))) (let ((_let_1721 (@ tptp.collect_variable (lambda ((BOUND_VARIABLE_20669 tptp.variable)) false)))) (let ((_let_1722 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_1716)) :args ((or (not _let_1715) _let_183 (not _let_1716)))) (EQ_RESOLVE (ASSUME :args (_let_28)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_91 _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_83) :args ((= tptp.bot_bot_set_variable _let_1721) SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (= _let_29 _let_1721) _let_1720))) (PREPROCESS :args ((= _let_1720 _let_1715))))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1718 :args (k_904 QUANTIFIERS_INST_CBQI_PROP)) :args _let_1719)) _let_1718 :args (_let_1716 false _let_1717)) :args (_let_183 false _let_1715 false _let_1716)))) (let ((_let_1723 (ho_529 _let_176 _let_113))) (let ((_let_1724 (= _let_1723 _let_184))) (let ((_let_1725 (not _let_184))) (let ((_let_1726 (_let_1163))) (let ((_let_1727 (forall ((C tptp.variable)) (not (ho_529 (ho_528 k_527 C) (ho_834 k_833 k_832)))))) (let ((_let_1728 (EQ_RESOLVE (ASSUME :args (_let_32)) (TRANS (MACRO_SR_EQ_INTRO _let_103 :args (_let_32 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((C tptp.variable)) (not (@ (@ tptp.member_variable C) (@ tptp.collect_variable tptp.bot_bot_variable_o)))) _let_1727))))))) (let ((_let_1729 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_1724)) :args ((or _let_1723 _let_1725 (not _let_1724)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1728 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_1193 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((ho_528 k_527 C)))) :args (_let_1727))) _let_1728 :args ((not _let_1723) false _let_1727)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_1726) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_1193 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((ho_528 k_527 BOUND_VARIABLE_25530)))) :args _let_1726))) (AND_ELIM _let_1706 :args (161)) :args (_let_1724 false _let_1163)) :args (_let_1725 true _let_1723 false _let_1724)))) (let ((_let_1730 (ASSUME :args (_let_1725)))) (let ((_let_1731 (ASSUME :args (_let_183)))) (let ((_let_1732 (ASSUME :args (_let_185)))) (let ((_let_1733 (ASSUME :args (_let_180)))) (let ((_let_1734 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_1730 _let_1714 _let_1731 _let_1732 _let_1733) :args (_let_182 _let_183 _let_185 _let_1725 _let_180)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_1733)) (CONG (TRANS (TRANS (SYMM _let_1732) _let_1731) (TRANS (SYMM _let_1731) (SYMM _let_1714))) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_1193)) :args (APPLY_UF ho_526)) (FALSE_INTRO _let_1730))) :args (_let_1725 _let_182 _let_183 _let_185 _let_180)) :args ((not (and _let_182 _let_183 _let_185 _let_1725 _let_180)) SB_LITERAL))) (CONG (REFL :args ((not 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_let_1712 _let_1711 _let_1709 _let_1708 _let_304 _let_301 _let_299 _let_296 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_276)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_277 _let_77 _let_228 _let_199 _let_254 _let_278 _let_80 _let_281 _let_286 _let_288 _let_283 _let_251 _let_290 _let_294) (SCOPE (TRANS _let_295 (CONG (TRANS _let_293 (TRANS (CONG (TRANS _let_291 (SYMM _let_289)) (SYMM _let_285) :args _let_109) (CONG (TRANS _let_289 _let_287) _let_285 :args _let_109))) _let_108 :args _let_107) _let_282 (CONG _let_280 _let_141 :args _let_107) _let_255 _let_243 (CONG _let_232 _let_209 :args _let_107) (SYMM _let_277)) :args (_let_245 BOOLEAN_TERM_VARIABLE_82310 BOOLEAN_TERM_VARIABLE_55146 _let_158 _let_63 _let_223 _let_269 _let_67 _let_247 _let_132 _let_70 BOOLEAN_TERM_VARIABLE_55162 _let_139 _let_65))) :args (BOOLEAN_TERM_VARIABLE_55146 _let_158 BOOLEAN_TERM_VARIABLE_55162 _let_223 BOOLEAN_TERM_VARIABLE_82310 _let_269 _let_63 _let_247 _let_65 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_let_208 _let_216 _let_218 _let_220 _let_145 :args ((or _let_192 _let_246) false _let_70 false _let_67 true BOOLEAN_TERM_VARIABLE_106105 false _let_245 true BOOLEAN_TERM_VARIABLE_92262 false _let_65 true _let_131 false _let_63 true BOOLEAN_TERM_VARIABLE_83111 false BOOLEAN_TERM_VARIABLE_82310 false _let_158 true BOOLEAN_TERM_VARIABLE_84173 false _let_63 false BOOLEAN_TERM_VARIABLE_82310 true _let_160 true BOOLEAN_TERM_VARIABLE_55169 false _let_158 true _let_160 false BOOLEAN_TERM_VARIABLE_82310 false _let_167 false _let_207 false _let_169 false _let_170 false _let_171 false _let_144)) _let_244 (MACRO_RESOLUTION_TRUST _let_220 _let_145 :args (_let_171 false _let_144)) (MACRO_RESOLUTION_TRUST _let_218 _let_145 :args (_let_170 false _let_144)) _let_217 (MACRO_RESOLUTION_TRUST _let_213 _let_208 :args (_let_167 false _let_207)) _let_77 _let_206 _let_199 :args (_let_192 false _let_191 true BOOLEAN_TERM_VARIABLE_106105 false _let_65 false _let_190 true BOOLEAN_TERM_VARIABLE_83111 true _let_189 true BOOLEAN_TERM_VARIABLE_84201 true _let_186 false _let_187 true _let_185 true _let_184 false _let_183 false _let_182 false _let_180 false _let_181 false _let_177 false _let_178 false _let_175 true _let_173 false _let_174 true _let_172 true BOOLEAN_TERM_VARIABLE_55162 true BOOLEAN_TERM_VARIABLE_55169 false _let_171 false _let_170 false _let_169 false _let_167 false BOOLEAN_TERM_VARIABLE_82310 true _let_160 false _let_158)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_145 :args (_let_59 _let_73 QUANTIFIERS_INST_E_MATCHING _let_151)) :args _let_149) (CONG _let_150 (CONG _let_110 (CONG _let_148 _let_153 :args _let_107) :args _let_106) :args _let_105))) _let_145 :args (_let_74 false _let_144)) _let_152 _let_143 _let_140 _let_137 _let_130 _let_122 _let_80 _let_77 (EQ_RESOLVE (ASSUME :args (_let_51)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_51 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (= tptp.none_trm _let_5)) (not _let_56)))))) :args (false true BOOLEAN_TERM_VARIABLE_84173 false BOOLEAN_TERM_VARIABLE_55162 true BOOLEAN_TERM_VARIABLE_55169 true BOOLEAN_TERM_VARIABLE_55146 false _let_74 false _let_70 false _let_67 true BOOLEAN_TERM_VARIABLE_106105 true BOOLEAN_TERM_VARIABLE_92262 false _let_65 false _let_63 true BOOLEAN_TERM_VARIABLE_83111 false BOOLEAN_TERM_VARIABLE_82310 true _let_56)) :args (_let_52 _let_51 _let_50 (=> (not (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f) tptp.none_trm)) (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f)))) tptp.u) tptp.bot_bot_set_variable)) (=> (not (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f) tptp.none_trm)) (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f)))) tptp.v) tptp.bot_bot_set_variable)) _let_48 _let_47 _let_43 (= tptp.none_trm tptp.none_trm) (=> (not (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f) tptp.none_trm)) (and (=> (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f)))) tptp.v) tptp.bot_bot_set_variable) (= (@ tptp.some_trm (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f))) _let_2)) (=> (not (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f)))) tptp.v) tptp.bot_bot_set_variable)) (= tptp.none_trm _let_2)))) (=> (not (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f) tptp.none_trm)) (and (=> (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f)))) tptp.u) tptp.bot_bot_set_variable) (= (@ tptp.some_trm (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f))) _let_42)) (=> (not (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT (@ tptp.the_trm (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) tptp.sigma) tptp.f)))) tptp.u) tptp.bot_bot_set_variable)) (= tptp.none_trm _let_42)))) (forall ((X3 tptp.char) (Y3 tptp.char)) (= (= (@ tptp.const X3) (@ tptp.const Y3)) (= X3 Y3))) _let_41 _let_40 _let_39 _let_38 _let_37 (forall ((Sigma2 tptp.produc1418842292n_game) (F3 tptp.char) (R2 tptp.trm) (U2 tptp.set_variable)) (let ((_let_1 (@ tptp.some_trm R2))) (=> (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) F3) _let_1) (=> (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT R2)) U2) tptp.bot_bot_set_variable) (= (@ (@ (@ tptp.uSubst516392818stappt Sigma2) U2) (@ tptp.const F3)) _let_1))))) (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (F3 tptp.char)) (=> (not (= (@ (@ (@ tptp.uSubst516392818stappt Sigma2) U2) (@ tptp.const F3)) tptp.none_trm)) (or (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) F3) tptp.none_trm) (exists ((R3 tptp.trm)) (and (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) F3) (@ tptp.some_trm R3)) (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT R3)) U2) tptp.bot_bot_set_variable)))))) (forall ((Sigma2 tptp.produc1418842292n_game) (F3 tptp.char) (R2 tptp.trm) (U2 tptp.set_variable)) (let ((_let_1 (@ tptp.some_trm R2))) (=> (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) F3) _let_1) (=> (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT R2)) U2) tptp.bot_bot_set_variable) (= (@ (@ (@ tptp.uSubst1559070963pconst Sigma2) U2) F3) _let_1))))) (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (F3 tptp.char)) (=> (not (= (@ (@ (@ tptp.uSubst1559070963pconst Sigma2) U2) F3) tptp.none_trm)) (or (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) F3) tptp.none_trm) (exists ((R3 tptp.trm)) (and (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((F0 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F0 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) F3) (@ tptp.some_trm R3)) (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT R3)) U2) tptp.bot_bot_set_variable)))))) (forall ((P (-> tptp.char tptp.option_trm Bool)) (A0 tptp.char) (A1 tptp.option_trm)) (=> (forall ((X2 tptp.char) (Theta tptp.trm)) (@ (@ P X2) (@ tptp.some_trm Theta))) (=> (forall ((X2 tptp.char)) (@ (@ P X2) tptp.none_trm)) (@ (@ P A0) A1)))) (forall ((Theta2 tptp.option_trm)) (= (not (= Theta2 tptp.none_trm)) (exists ((T tptp.trm)) (= Theta2 (@ tptp.some_trm T))))) (forall ((P (-> tptp.option_trm tptp.option_trm Bool)) (A0 tptp.option_trm) (A1 tptp.option_trm)) (=> (forall ((Theta tptp.trm) (Eta tptp.trm)) (@ (@ P (@ tptp.some_trm Theta)) (@ tptp.some_trm Eta))) (=> (forall ((X_1 tptp.option_trm)) (@ (@ P tptp.none_trm) X_1)) (=> (forall ((V tptp.trm)) (@ (@ P (@ tptp.some_trm V)) tptp.none_trm)) (@ (@ P A0) A1))))) (forall ((P (-> tptp.variable tptp.option_trm Bool)) (A0 tptp.variable) (A1 tptp.option_trm)) (=> (forall ((X2 tptp.variable) (Theta tptp.trm)) (@ (@ P X2) (@ tptp.some_trm Theta))) (=> (forall ((X2 tptp.variable)) (@ (@ P X2) tptp.none_trm)) (@ (@ P A0) A1)))) (= tptp.some_trm tptp.some_trm) (forall ((P (-> tptp.option_trm Bool)) (A0 tptp.option_trm)) (=> (forall ((Theta tptp.trm)) (@ P (@ tptp.some_trm Theta))) (=> (@ P tptp.none_trm) (@ P A0)))) (forall ((X4 tptp.option_trm)) (=> (forall ((Theta tptp.trm)) (not (= X4 (@ tptp.some_trm Theta)))) (= X4 tptp.none_trm))) (forall ((Option tptp.option_trm)) (=> (not (= Option tptp.none_trm)) (= (@ tptp.some_trm (@ tptp.the_trm Option)) Option))) (forall ((Option tptp.option_fml)) (=> (not (= Option tptp.none_fml)) (= (@ tptp.some_fml (@ tptp.the_fml Option)) Option))) (forall ((Option tptp.option_game)) (=> (not (= Option tptp.none_game)) (= (@ tptp.some_game (@ tptp.the_game Option)) Option))) (forall ((X4 tptp.option_trm)) (= (forall ((Y tptp.trm)) (not (= X4 (@ tptp.some_trm Y)))) (= X4 tptp.none_trm))) (forall ((X4 tptp.option_fml)) (= (forall ((Y tptp.fml)) (not (= X4 (@ tptp.some_fml Y)))) (= X4 tptp.none_fml))) (forall ((X4 tptp.option_game)) (= (forall ((Y tptp.game)) (not (= X4 (@ tptp.some_game Y)))) (= X4 tptp.none_game))) (forall ((X4 tptp.option_trm)) (= (not (= X4 tptp.none_trm)) (exists ((Y tptp.trm)) (= X4 (@ tptp.some_trm Y))))) (forall ((X4 tptp.option_fml)) (= (not (= X4 tptp.none_fml)) (exists ((Y tptp.fml)) (= X4 (@ tptp.some_fml Y))))) (forall ((X4 tptp.option_game)) (= (not (= X4 tptp.none_game)) (exists ((Y tptp.game)) (= X4 (@ tptp.some_game Y))))) (forall ((X4 tptp.set_variable)) (= (@ (@ tptp.inf_inf_set_variable tptp.bot_bot_set_variable) X4) tptp.bot_bot_set_variable)) (forall ((X4 tptp.set_variable)) (= (@ (@ tptp.inf_inf_set_variable X4) tptp.bot_bot_set_variable) tptp.bot_bot_set_variable)) (forall ((Sigma2 tptp.produc1418842292n_game) (F3 tptp.char) (R2 tptp.trm) (U2 tptp.set_variable) (Theta2 tptp.trm)) (=> (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((F4 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F4 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) F3) (@ tptp.some_trm R2)) (=> (not (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT R2)) U2) tptp.bot_bot_set_variable)) (= (@ (@ (@ tptp.uSubst516392818stappt Sigma2) U2) (@ (@ tptp.func F3) Theta2)) tptp.none_trm)))) (forall ((P (-> tptp.option_trm Bool)) (F1 tptp.option_trm) (F22 (-> tptp.trm tptp.option_trm)) (Option tptp.option_trm)) (let ((_let_1 (@ tptp.the_trm Option))) (= (@ P (@ (@ (@ tptp.case_o487727941rm_trm F1) F22) Option)) (not (or (and (= Option tptp.none_trm) (not (@ P F1))) (and (= Option (@ tptp.some_trm _let_1)) (not (@ P (@ F22 _let_1))))))))) (forall ((P (-> tptp.option_trm Bool)) (F1 tptp.option_trm) (F22 (-> tptp.trm tptp.option_trm)) (Option tptp.option_trm)) (let ((_let_1 (@ tptp.the_trm Option))) (= (@ P (@ (@ (@ tptp.case_o487727941rm_trm F1) F22) Option)) (and (=> (= Option tptp.none_trm) (@ P F1)) (=> (= Option (@ tptp.some_trm _let_1)) (@ P (@ F22 _let_1))))))) (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (F3 tptp.char) (Theta2 tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (=> (not (= (@ _let_1 (@ (@ tptp.func F3) Theta2)) tptp.none_trm)) (and (not (= (@ _let_1 Theta2) tptp.none_trm)) (or (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((F4 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F4 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) F3) tptp.none_trm) (exists ((R3 tptp.trm)) (and (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((F4 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F4 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) F3) (@ tptp.some_trm R3)) (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT R3)) U2) tptp.bot_bot_set_variable)))))))) _let_36 (forall ((X4 tptp.set_variable) (Y2 tptp.set_variable)) (let ((_let_1 (@ (@ tptp.inf_inf_set_variable X4) Y2))) (= (@ (@ tptp.inf_inf_set_variable _let_1) Y2) _let_1))) (forall ((A tptp.set_variable) (B tptp.set_variable)) (let ((_let_1 (@ (@ tptp.inf_inf_set_variable A) B))) (= (@ (@ tptp.inf_inf_set_variable _let_1) B) _let_1))) (forall ((X4 tptp.set_variable) (Y2 tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable X4))) (let ((_let_2 (@ _let_1 Y2))) (= (@ _let_1 _let_2) _let_2)))) (forall ((A tptp.set_variable) (B tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable A))) (let ((_let_2 (@ _let_1 B))) (= (@ _let_1 _let_2) _let_2)))) (forall ((X4 tptp.set_variable)) (= (@ (@ tptp.inf_inf_set_variable X4) X4) X4)) (forall ((A tptp.set_variable)) (= (@ (@ tptp.inf_inf_set_variable A) A) A)) (forall ((X22 tptp.trm) (Y22 tptp.trm)) (= (= (@ tptp.some_trm X22) (@ tptp.some_trm Y22)) (= X22 Y22))) (forall ((X22 tptp.fml) (Y22 tptp.fml)) (= (= (@ tptp.some_fml X22) (@ tptp.some_fml Y22)) (= X22 Y22))) (forall ((X22 tptp.game) (Y22 tptp.game)) (= (= (@ tptp.some_game X22) (@ tptp.some_game Y22)) (= X22 Y22))) (forall ((X41 tptp.char) (X42 tptp.trm) (Y41 tptp.char) (Y42 tptp.trm)) (= (= (@ (@ tptp.func X41) X42) (@ (@ tptp.func Y41) Y42)) (and (= X41 Y41) (= X42 Y42)))) (forall ((Option tptp.option_trm)) (= (not (= Option tptp.none_trm)) (@ (@ (@ tptp.case_option_o_trm false) (lambda ((Uu tptp.trm)) true)) Option))) (forall ((Option tptp.option_fml)) (= (not (= Option tptp.none_fml)) (@ (@ (@ tptp.case_option_o_fml false) (lambda ((Uu tptp.fml)) true)) Option))) (forall ((Option tptp.option_game)) (= (not (= Option tptp.none_game)) (@ (@ (@ tptp.case_option_o_game false) (lambda ((Uu tptp.game)) true)) Option))) (forall ((Option tptp.option_trm)) (= (= Option tptp.none_trm) (@ (@ (@ tptp.case_option_o_trm true) (lambda ((Uu tptp.trm)) false)) Option))) (forall ((Option tptp.option_fml)) (= (= Option tptp.none_fml) (@ (@ (@ tptp.case_option_o_fml true) (lambda ((Uu tptp.fml)) false)) Option))) (forall ((Option tptp.option_game)) (= (= Option tptp.none_game) (@ (@ (@ tptp.case_option_o_game true) (lambda ((Uu tptp.game)) false)) Option))) (forall ((A tptp.variable) (P (-> tptp.variable Bool))) (= (@ (@ tptp.member_variable A) (@ tptp.collect_variable P)) (@ P A))) (forall ((A tptp.char) (P (-> tptp.char Bool))) (= (@ (@ tptp.member_char A) (@ tptp.collect_char P)) (@ P A))) (forall ((A2 tptp.set_variable)) (= (@ tptp.collect_variable (lambda ((X tptp.variable)) (@ (@ tptp.member_variable X) A2))) A2)) (forall ((A2 tptp.set_char)) (= (@ tptp.collect_char (lambda ((X tptp.char)) (@ (@ tptp.member_char X) A2))) A2)) (forall ((P (-> tptp.variable Bool)) (Q (-> tptp.variable Bool))) (=> (forall ((X2 tptp.variable)) (= (@ P X2) (@ Q X2))) (= (@ tptp.collect_variable P) (@ tptp.collect_variable Q)))) (forall ((P (-> tptp.char Bool)) (Q (-> tptp.char Bool))) (=> (forall ((X2 tptp.char)) (= (@ P X2) (@ Q X2))) (= (@ tptp.collect_char P) (@ tptp.collect_char Q)))) (forall ((X3 tptp.char) (X41 tptp.char) (X42 tptp.trm)) (not (= (@ tptp.const X3) (@ (@ tptp.func X41) X42)))) (forall ((P Bool) (Q (-> tptp.trm Bool)) (X4 tptp.option_trm)) (=> (@ (@ (@ tptp.case_option_o_trm P) Q) X4) (=> (=> (= X4 tptp.none_trm) (not P)) (not (forall ((Y4 tptp.trm)) (=> (= X4 (@ tptp.some_trm Y4)) (not (@ Q Y4)))))))) (forall ((P Bool) (Q (-> tptp.fml Bool)) (X4 tptp.option_fml)) (=> (@ (@ (@ tptp.case_option_o_fml P) Q) X4) (=> (=> (= X4 tptp.none_fml) (not P)) (not (forall ((Y4 tptp.fml)) (=> (= X4 (@ tptp.some_fml Y4)) (not (@ Q Y4)))))))) (forall ((P Bool) (Q (-> tptp.game Bool)) (X4 tptp.option_game)) (=> (@ (@ (@ tptp.case_option_o_game P) Q) X4) (=> (=> (= X4 tptp.none_game) (not P)) (not (forall ((Y4 tptp.game)) (=> (= X4 (@ tptp.some_game Y4)) (not (@ Q Y4)))))))) (forall ((X4 tptp.set_variable) (Y2 tptp.set_variable) (Z2 tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable X4))) (let ((_let_2 (@ tptp.inf_inf_set_variable Y2))) (= (@ _let_1 (@ _let_2 Z2)) (@ _let_2 (@ _let_1 Z2)))))) (forall ((B tptp.set_variable) (A tptp.set_variable) (C tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable B))) (let ((_let_2 (@ tptp.inf_inf_set_variable A))) (= (@ _let_1 (@ _let_2 C)) (@ _let_2 (@ _let_1 C)))))) (= tptp.inf_inf_set_variable (lambda ((X tptp.set_variable) (Y tptp.set_variable)) (@ (@ tptp.inf_inf_set_variable Y) X))) (= tptp.inf_inf_set_variable (lambda ((A3 tptp.set_variable) (B2 tptp.set_variable)) (@ (@ tptp.inf_inf_set_variable B2) A3))) (forall ((X4 tptp.set_variable) (Y2 tptp.set_variable) (Z2 tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable X4))) (= (@ (@ tptp.inf_inf_set_variable (@ _let_1 Y2)) Z2) (@ _let_1 (@ (@ tptp.inf_inf_set_variable Y2) Z2))))) (forall ((A tptp.set_variable) (B tptp.set_variable) (C tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable A))) (= (@ (@ tptp.inf_inf_set_variable (@ _let_1 B)) C) (@ _let_1 (@ (@ tptp.inf_inf_set_variable B) C))))) (forall ((B3 tptp.set_variable) (K tptp.set_variable) (B tptp.set_variable) (A tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable A))) (let ((_let_2 (@ tptp.inf_inf_set_variable K))) (=> (= B3 (@ _let_2 B)) (= (@ _let_1 B3) (@ _let_2 (@ _let_1 B))))))) (forall ((A2 tptp.set_variable) (K tptp.set_variable) (A tptp.set_variable) (B tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable K))) (=> (= A2 (@ _let_1 A)) (= (@ (@ tptp.inf_inf_set_variable A2) B) (@ _let_1 (@ (@ tptp.inf_inf_set_variable A) B)))))) (= tptp.inf_inf_set_variable (lambda ((X tptp.set_variable) (Y tptp.set_variable)) (@ (@ tptp.inf_inf_set_variable Y) X))) (forall ((X4 tptp.set_variable) (Y2 tptp.set_variable) (Z2 tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable X4))) (= (@ (@ tptp.inf_inf_set_variable (@ _let_1 Y2)) Z2) (@ _let_1 (@ (@ tptp.inf_inf_set_variable Y2) Z2))))) (forall ((X4 tptp.set_variable) (Y2 tptp.set_variable) (Z2 tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable X4))) (let ((_let_2 (@ tptp.inf_inf_set_variable Y2))) (= (@ _let_1 (@ _let_2 Z2)) (@ _let_2 (@ _let_1 Z2)))))) (forall ((X4 tptp.set_variable) (Y2 tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable X4))) (let ((_let_2 (@ _let_1 Y2))) (= (@ _let_1 _let_2) _let_2)))) _let_35 _let_34 (forall ((X22 tptp.fml)) (not (= tptp.none_fml (@ tptp.some_fml X22)))) (forall ((X22 tptp.game)) (not (= tptp.none_game (@ tptp.some_game X22)))) (forall ((Option tptp.option_trm) (X22 tptp.trm)) (=> (= Option (@ tptp.some_trm X22)) (not (= Option tptp.none_trm)))) (forall ((Option tptp.option_fml) (X22 tptp.fml)) (=> (= Option (@ tptp.some_fml X22)) (not (= Option tptp.none_fml)))) (forall ((Option tptp.option_game) (X22 tptp.game)) (=> (= Option (@ tptp.some_game X22)) (not (= Option tptp.none_game)))) (forall ((Y2 tptp.option_trm)) (=> (not (= Y2 tptp.none_trm)) (not (forall ((X23 tptp.trm)) (not (= Y2 (@ tptp.some_trm X23))))))) (forall ((Y2 tptp.option_fml)) (=> (not (= Y2 tptp.none_fml)) (not (forall ((X23 tptp.fml)) (not (= Y2 (@ tptp.some_fml X23))))))) (forall ((Y2 tptp.option_game)) (=> (not (= Y2 tptp.none_game)) (not (forall ((X23 tptp.game)) (not (= Y2 (@ tptp.some_game X23))))))) (forall ((P (-> tptp.option_trm Bool)) (Option tptp.option_trm)) (=> (@ P tptp.none_trm) (=> (forall ((X2 tptp.trm)) (@ P (@ tptp.some_trm X2))) (@ P Option)))) (forall ((P (-> tptp.option_fml Bool)) (Option tptp.option_fml)) (=> (@ P tptp.none_fml) (=> (forall ((X2 tptp.fml)) (@ P (@ tptp.some_fml X2))) (@ P Option)))) (forall ((P (-> tptp.option_game Bool)) (Option tptp.option_game)) (=> (@ P tptp.none_game) (=> (forall ((X2 tptp.game)) (@ P (@ tptp.some_game X2))) (@ P Option)))) (= (lambda ((P2 (-> tptp.option_trm Bool))) (exists ((X5 tptp.option_trm)) (@ P2 X5))) (lambda ((P3 (-> tptp.option_trm Bool))) (or (@ P3 tptp.none_trm) (exists ((X tptp.trm)) (@ P3 (@ tptp.some_trm X)))))) (= (lambda ((P2 (-> tptp.option_fml Bool))) (exists ((X5 tptp.option_fml)) (@ P2 X5))) (lambda ((P3 (-> tptp.option_fml Bool))) (or (@ P3 tptp.none_fml) (exists ((X tptp.fml)) (@ P3 (@ tptp.some_fml X)))))) (= (lambda ((P2 (-> tptp.option_game Bool))) (exists ((X5 tptp.option_game)) (@ P2 X5))) (lambda ((P3 (-> tptp.option_game Bool))) (or (@ P3 tptp.none_game) (exists ((X tptp.game)) (@ P3 (@ tptp.some_game X)))))) (= (lambda ((P2 (-> tptp.option_trm Bool))) (forall ((X5 tptp.option_trm)) (@ P2 X5))) (lambda ((P3 (-> tptp.option_trm Bool))) (and (@ P3 tptp.none_trm) (forall ((X tptp.trm)) (@ P3 (@ tptp.some_trm X)))))) (= (lambda ((P2 (-> tptp.option_fml Bool))) (forall ((X5 tptp.option_fml)) (@ P2 X5))) (lambda ((P3 (-> tptp.option_fml Bool))) (and (@ P3 tptp.none_fml) (forall ((X tptp.fml)) (@ P3 (@ tptp.some_fml X)))))) (= (lambda ((P2 (-> tptp.option_game Bool))) (forall ((X5 tptp.option_game)) (@ P2 X5))) (lambda ((P3 (-> tptp.option_game Bool))) (and (@ P3 tptp.none_game) (forall ((X tptp.game)) (@ P3 (@ tptp.some_game X)))))) (forall ((X4 tptp.option_trm) (P (-> tptp.option_trm tptp.option_trm Bool)) (Y2 tptp.option_trm)) (let ((_let_1 (@ (@ P X4) Y2))) (=> (=> (= X4 tptp.none_trm) _let_1) (=> (=> (= Y2 tptp.none_trm) _let_1) (=> (forall ((A4 tptp.trm) (B4 tptp.trm)) (=> (= X4 (@ tptp.some_trm A4)) (=> (= Y2 (@ tptp.some_trm B4)) (@ (@ P X4) Y2)))) _let_1))))) (forall ((X4 tptp.option_trm) (P (-> tptp.option_trm tptp.option_fml Bool)) (Y2 tptp.option_fml)) (let ((_let_1 (@ (@ P X4) Y2))) (=> (=> (= X4 tptp.none_trm) _let_1) (=> (=> (= Y2 tptp.none_fml) _let_1) (=> (forall ((A4 tptp.trm) (B4 tptp.fml)) (=> (= X4 (@ tptp.some_trm A4)) (=> (= Y2 (@ tptp.some_fml B4)) (@ (@ P X4) Y2)))) _let_1))))) (forall ((X4 tptp.option_trm) (P (-> tptp.option_trm tptp.option_game Bool)) (Y2 tptp.option_game)) (let ((_let_1 (@ (@ P X4) Y2))) (=> (=> (= X4 tptp.none_trm) _let_1) (=> (=> (= Y2 tptp.none_game) _let_1) (=> (forall ((A4 tptp.trm) (B4 tptp.game)) (=> (= X4 (@ tptp.some_trm A4)) (=> (= Y2 (@ tptp.some_game B4)) (@ (@ P X4) Y2)))) _let_1))))) (forall ((X4 tptp.option_fml) (P (-> tptp.option_fml tptp.option_trm Bool)) (Y2 tptp.option_trm)) (let ((_let_1 (@ (@ P X4) Y2))) (=> (=> (= X4 tptp.none_fml) _let_1) (=> (=> (= Y2 tptp.none_trm) _let_1) (=> (forall ((A4 tptp.fml) (B4 tptp.trm)) (=> (= X4 (@ tptp.some_fml A4)) (=> (= Y2 (@ tptp.some_trm B4)) (@ (@ P X4) Y2)))) _let_1))))) (forall ((X4 tptp.option_fml) (P (-> tptp.option_fml tptp.option_fml Bool)) (Y2 tptp.option_fml)) (let ((_let_1 (@ (@ P X4) Y2))) (=> (=> (= X4 tptp.none_fml) _let_1) (=> (=> (= Y2 tptp.none_fml) _let_1) (=> (forall ((A4 tptp.fml) (B4 tptp.fml)) (=> (= X4 (@ tptp.some_fml A4)) (=> (= Y2 (@ tptp.some_fml B4)) (@ (@ P X4) Y2)))) _let_1))))) (forall ((X4 tptp.option_fml) (P (-> tptp.option_fml tptp.option_game Bool)) (Y2 tptp.option_game)) (let ((_let_1 (@ (@ P X4) Y2))) (=> (=> (= X4 tptp.none_fml) _let_1) (=> (=> (= Y2 tptp.none_game) _let_1) (=> (forall ((A4 tptp.fml) (B4 tptp.game)) (=> (= X4 (@ tptp.some_fml A4)) (=> (= Y2 (@ tptp.some_game B4)) (@ (@ P X4) Y2)))) _let_1))))) (forall ((X4 tptp.option_game) (P (-> tptp.option_game tptp.option_trm Bool)) (Y2 tptp.option_trm)) (let ((_let_1 (@ (@ P X4) Y2))) (=> (=> (= X4 tptp.none_game) _let_1) (=> (=> (= Y2 tptp.none_trm) _let_1) (=> (forall ((A4 tptp.game) (B4 tptp.trm)) (=> (= X4 (@ tptp.some_game A4)) (=> (= Y2 (@ tptp.some_trm B4)) (@ (@ P X4) Y2)))) _let_1))))) (forall ((X4 tptp.option_game) (P (-> tptp.option_game tptp.option_fml Bool)) (Y2 tptp.option_fml)) (let ((_let_1 (@ (@ P X4) Y2))) (=> (=> (= X4 tptp.none_game) _let_1) (=> (=> (= Y2 tptp.none_fml) _let_1) (=> (forall ((A4 tptp.game) (B4 tptp.fml)) (=> (= X4 (@ tptp.some_game A4)) (=> (= Y2 (@ tptp.some_fml B4)) (@ (@ P X4) Y2)))) _let_1))))) (forall ((X4 tptp.option_game) (P (-> tptp.option_game tptp.option_game Bool)) (Y2 tptp.option_game)) (let ((_let_1 (@ (@ P X4) Y2))) (=> (=> (= X4 tptp.none_game) _let_1) (=> (=> (= Y2 tptp.none_game) _let_1) (=> (forall ((A4 tptp.game) (B4 tptp.game)) (=> (= X4 (@ tptp.some_game A4)) (=> (= Y2 (@ tptp.some_game B4)) (@ (@ P X4) Y2)))) _let_1))))) (forall ((F1 tptp.option_trm) (F22 (-> tptp.trm tptp.option_trm))) (= (@ (@ (@ tptp.case_o487727941rm_trm F1) F22) tptp.none_trm) F1)) (forall ((F1 tptp.option_trm) (F22 (-> tptp.trm tptp.option_trm)) (X22 tptp.trm)) (= (@ (@ (@ tptp.case_o487727941rm_trm F1) F22) (@ tptp.some_trm X22)) (@ F22 X22))) (forall ((Option tptp.option_trm) (Option3 tptp.option_trm)) (let ((_let_1 (= Option3 tptp.none_trm))) (let ((_let_2 (= Option tptp.none_trm))) (=> (= _let_2 _let_1) (=> (=> (not _let_2) (=> (not _let_1) (= (@ tptp.the_trm Option) (@ tptp.the_trm Option3)))) (= Option Option3)))))) (forall ((Option tptp.option_fml) (Option3 tptp.option_fml)) (let ((_let_1 (= Option3 tptp.none_fml))) (let ((_let_2 (= Option tptp.none_fml))) (=> (= _let_2 _let_1) (=> (=> (not _let_2) (=> (not _let_1) (= (@ tptp.the_fml Option) (@ tptp.the_fml Option3)))) (= Option Option3)))))) (forall ((Option tptp.option_game) (Option3 tptp.option_game)) (let ((_let_1 (= Option3 tptp.none_game))) (let ((_let_2 (= Option tptp.none_game))) (=> (= _let_2 _let_1) (=> (=> (not _let_2) (=> (not _let_1) (= (@ tptp.the_game Option) (@ tptp.the_game Option3)))) (= Option Option3)))))) (forall ((X22 tptp.trm)) (= (@ tptp.the_trm (@ tptp.some_trm X22)) X22)) (forall ((X22 tptp.fml)) (= (@ tptp.the_fml (@ tptp.some_fml X22)) X22)) (forall ((X22 tptp.game)) (= (@ tptp.the_game (@ tptp.some_game X22)) X22)) (forall ((Option tptp.option_trm)) (=> (not (= Option tptp.none_trm)) (= Option (@ tptp.some_trm (@ tptp.the_trm Option))))) (forall ((Option tptp.option_fml)) (=> (not (= Option tptp.none_fml)) (= Option (@ tptp.some_fml (@ tptp.the_fml Option))))) (forall ((Option tptp.option_game)) (=> (not (= Option tptp.none_game)) (= Option (@ tptp.some_game (@ tptp.the_game Option))))) (forall ((Sigma2 tptp.produc1418842292n_game) (F3 tptp.char) (R2 tptp.trm) (U2 tptp.set_variable) (Theta2 tptp.trm) (Sigma_theta tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (=> (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((F4 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F4 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) F3) (@ tptp.some_trm R2)) (=> (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT R2)) U2) tptp.bot_bot_set_variable) (=> (= (@ _let_1 Theta2) (@ tptp.some_trm Sigma_theta)) (= (@ _let_1 (@ (@ tptp.func F3) Theta2)) (@ (@ (@ tptp.uSubst516392818stappt (@ tptp.uSubst1408967625substt Sigma_theta)) tptp.bot_bot_set_variable) R2))))))) (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (F3 tptp.char) (Theta2 tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (= (@ _let_1 (@ (@ tptp.func F3) Theta2)) (@ (@ (@ tptp.case_o487727941rm_trm tptp.none_trm) (lambda ((Sigma_theta2 tptp.trm)) (@ (@ (@ tptp.case_o487727941rm_trm (@ tptp.some_trm (@ (@ tptp.func F3) Sigma_theta2))) (lambda ((R tptp.trm)) (@ (@ (@ tptp.if_option_trm (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT R)) U2) tptp.bot_bot_set_variable)) (@ (@ (@ tptp.uSubst516392818stappt (@ tptp.uSubst1408967625substt Sigma_theta2)) tptp.bot_bot_set_variable) R)) tptp.none_trm))) (@ (@ (@ tptp.produc866613687on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((F4 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F4 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) F3)))) (@ _let_1 Theta2))))) (forall ((C tptp.char) (A2 tptp.set_char) (B3 tptp.set_char)) (let ((_let_1 (@ tptp.member_char C))) (= (@ _let_1 (@ (@ tptp.inf_inf_set_char A2) B3)) (and (@ _let_1 A2) (@ _let_1 B3))))) (forall ((C tptp.variable) (A2 tptp.set_variable) (B3 tptp.set_variable)) (let ((_let_1 (@ tptp.member_variable C))) (= (@ _let_1 (@ (@ tptp.inf_inf_set_variable A2) B3)) (and (@ _let_1 A2) (@ _let_1 B3))))) (forall ((C tptp.char) (A2 tptp.set_char) (B3 tptp.set_char)) (let ((_let_1 (@ tptp.member_char C))) (=> (@ _let_1 A2) (=> (@ _let_1 B3) (@ _let_1 (@ (@ tptp.inf_inf_set_char A2) B3)))))) (forall ((C tptp.variable) (A2 tptp.set_variable) (B3 tptp.set_variable)) (let ((_let_1 (@ tptp.member_variable C))) (=> (@ _let_1 A2) (=> (@ _let_1 B3) (@ _let_1 (@ (@ tptp.inf_inf_set_variable A2) B3)))))) (forall ((P (-> tptp.char Bool))) (= (= tptp.bot_bot_set_char (@ tptp.collect_char P)) (forall ((X tptp.char)) (not (@ P X))))) _let_33 (forall ((P (-> tptp.char Bool))) (= (= (@ tptp.collect_char P) tptp.bot_bot_set_char) (forall ((X tptp.char)) (not (@ P X))))) (forall ((P (-> tptp.variable Bool))) (= (= (@ tptp.collect_variable P) tptp.bot_bot_set_variable) (forall ((X tptp.variable)) (not (@ P X))))) (forall ((A2 tptp.set_char)) (= (forall ((X tptp.char)) (not (@ (@ tptp.member_char X) A2))) (= A2 tptp.bot_bot_set_char))) (forall ((A2 tptp.set_variable)) (= (forall ((X tptp.variable)) (not (@ (@ tptp.member_variable X) A2))) (= A2 tptp.bot_bot_set_variable))) (forall ((C tptp.char)) (not (@ (@ tptp.member_char C) tptp.bot_bot_set_char))) _let_32 (forall ((A tptp.char)) (not (@ (@ tptp.member_char A) tptp.bot_bot_set_char))) (forall ((A tptp.variable)) (not (@ (@ tptp.member_variable A) tptp.bot_bot_set_variable))) (forall ((A2 tptp.set_char) (A tptp.char)) (=> (= A2 tptp.bot_bot_set_char) (not (@ (@ tptp.member_char A) A2)))) (forall ((A2 tptp.set_variable) (A tptp.variable)) (=> (= A2 tptp.bot_bot_set_variable) (not (@ (@ tptp.member_variable A) A2)))) (forall ((A2 tptp.set_char)) (=> (forall ((Y4 tptp.char)) (not (@ (@ tptp.member_char Y4) A2))) (= A2 tptp.bot_bot_set_char))) (forall ((A2 tptp.set_variable)) (=> (forall ((Y4 tptp.variable)) (not (@ (@ tptp.member_variable Y4) A2))) (= A2 tptp.bot_bot_set_variable))) (forall ((A2 tptp.set_char)) (= (exists ((X tptp.char)) (@ (@ tptp.member_char X) A2)) (not (= A2 tptp.bot_bot_set_char)))) (forall ((A2 tptp.set_variable)) (= (exists ((X tptp.variable)) (@ (@ tptp.member_variable X) A2)) (not (= A2 tptp.bot_bot_set_variable)))) _let_31 _let_30 (forall ((C tptp.char) (A2 tptp.set_char) (B3 tptp.set_char)) (let ((_let_1 (@ tptp.member_char C))) (=> (@ _let_1 (@ (@ tptp.inf_inf_set_char A2) B3)) (not (=> (@ _let_1 A2) (not (@ _let_1 B3))))))) (forall ((C tptp.variable) (A2 tptp.set_variable) (B3 tptp.set_variable)) (let ((_let_1 (@ tptp.member_variable C))) (=> (@ _let_1 (@ (@ tptp.inf_inf_set_variable A2) B3)) (not (=> (@ _let_1 A2) (not (@ _let_1 B3))))))) (forall ((C tptp.char) (A2 tptp.set_char) (B3 tptp.set_char)) (let ((_let_1 (@ tptp.member_char C))) (=> (@ _let_1 (@ (@ tptp.inf_inf_set_char A2) B3)) (@ _let_1 A2)))) (forall ((C tptp.variable) (A2 tptp.set_variable) (B3 tptp.set_variable)) (let ((_let_1 (@ tptp.member_variable C))) (=> (@ _let_1 (@ (@ tptp.inf_inf_set_variable A2) B3)) (@ _let_1 A2)))) (forall ((C tptp.char) (A2 tptp.set_char) (B3 tptp.set_char)) (let ((_let_1 (@ tptp.member_char C))) (=> (@ _let_1 (@ (@ tptp.inf_inf_set_char A2) B3)) (@ _let_1 B3)))) (forall ((C tptp.variable) (A2 tptp.set_variable) (B3 tptp.set_variable)) (let ((_let_1 (@ tptp.member_variable C))) (=> (@ _let_1 (@ (@ tptp.inf_inf_set_variable A2) B3)) (@ _let_1 B3)))) (forall ((A2 tptp.set_variable) (B3 tptp.set_variable) (C2 tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable A2))) (= (@ (@ tptp.inf_inf_set_variable (@ _let_1 B3)) C2) (@ _let_1 (@ (@ tptp.inf_inf_set_variable B3) C2))))) (forall ((A2 tptp.set_variable)) (= (@ (@ tptp.inf_inf_set_variable A2) A2) A2)) (= tptp.inf_inf_set_variable (lambda ((A5 tptp.set_variable) (B5 tptp.set_variable)) (@ (@ tptp.inf_inf_set_variable B5) A5))) (forall ((A2 tptp.set_variable) (B3 tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable A2))) (let ((_let_2 (@ _let_1 B3))) (= (@ _let_1 _let_2) _let_2)))) (forall ((A2 tptp.set_variable) (B3 tptp.set_variable) (C2 tptp.set_variable)) (let ((_let_1 (@ tptp.inf_inf_set_variable A2))) (let ((_let_2 (@ tptp.inf_inf_set_variable B3))) (= (@ _let_1 (@ _let_2 C2)) (@ _let_2 (@ _let_1 C2)))))) (= tptp.bot_bot_set_char (@ tptp.collect_char (lambda ((X tptp.char)) false))) _let_28 (forall ((P (-> tptp.char Bool)) (Q (-> tptp.char Bool))) (= (@ tptp.collect_char (lambda ((X tptp.char)) (and (@ P X) (@ Q X)))) (@ (@ tptp.inf_inf_set_char (@ tptp.collect_char P)) (@ tptp.collect_char Q)))) (forall ((P (-> tptp.variable Bool)) (Q (-> tptp.variable Bool))) (= (@ tptp.collect_variable (lambda ((X tptp.variable)) (and (@ P X) (@ Q X)))) (@ (@ tptp.inf_inf_set_variable (@ tptp.collect_variable P)) (@ tptp.collect_variable Q)))) (forall ((X4 tptp.char) (A2 tptp.set_char) (P (-> tptp.char Bool))) (let ((_let_1 (@ tptp.member_char X4))) (= (@ _let_1 (@ (@ tptp.inf_inf_set_char A2) (@ tptp.collect_char P))) (and (@ _let_1 A2) (@ P X4))))) (forall ((X4 tptp.variable) (A2 tptp.set_variable) (P (-> tptp.variable Bool))) (let ((_let_1 (@ tptp.member_variable X4))) (= (@ _let_1 (@ (@ tptp.inf_inf_set_variable A2) (@ tptp.collect_variable P))) (and (@ _let_1 A2) (@ P X4))))) _let_27 _let_26 (= tptp.inf_inf_set_char (lambda ((A5 tptp.set_char) (B5 tptp.set_char)) (@ tptp.collect_char (@ (@ tptp.inf_inf_char_o (lambda ((X tptp.char)) (@ (@ tptp.member_char X) A5))) (lambda ((X tptp.char)) (@ (@ tptp.member_char X) B5)))))) (= tptp.inf_inf_set_variable (lambda ((A5 tptp.set_variable) (B5 tptp.set_variable)) (@ tptp.collect_variable (@ (@ tptp.inf_inf_variable_o (lambda ((X tptp.variable)) (@ (@ tptp.member_variable X) A5))) (lambda ((X tptp.variable)) (@ (@ tptp.member_variable X) B5)))))) (forall ((A2 tptp.set_char) (B3 tptp.set_char)) (=> (forall ((X2 tptp.char)) (let ((_let_1 (@ tptp.member_char X2))) (=> (@ _let_1 A2) (not (@ _let_1 B3))))) (= (@ (@ tptp.inf_inf_set_char A2) B3) tptp.bot_bot_set_char))) (forall ((A2 tptp.set_variable) (B3 tptp.set_variable)) (=> (forall ((X2 tptp.variable)) (let ((_let_1 (@ tptp.member_variable X2))) (=> (@ _let_1 A2) (not (@ _let_1 B3))))) (= (@ (@ tptp.inf_inf_set_variable A2) B3) tptp.bot_bot_set_variable))) (forall ((A2 tptp.set_char) (B3 tptp.set_char)) (= (= (@ (@ tptp.inf_inf_set_char A2) B3) tptp.bot_bot_set_char) (forall ((X tptp.char)) (let ((_let_1 (@ tptp.member_char X))) (=> (@ _let_1 A2) (not (@ _let_1 B3))))))) (forall ((A2 tptp.set_variable) (B3 tptp.set_variable)) (= (= (@ (@ tptp.inf_inf_set_variable A2) B3) tptp.bot_bot_set_variable) (forall ((X tptp.variable)) (let ((_let_1 (@ tptp.member_variable X))) (=> (@ _let_1 A2) (not (@ _let_1 B3))))))) (forall ((B3 tptp.set_variable)) (= (@ (@ tptp.inf_inf_set_variable tptp.bot_bot_set_variable) B3) tptp.bot_bot_set_variable)) (forall ((A2 tptp.set_variable)) (= (@ (@ tptp.inf_inf_set_variable A2) tptp.bot_bot_set_variable) tptp.bot_bot_set_variable)) (forall ((A2 tptp.set_variable) (B3 tptp.set_variable)) (= (= (@ (@ tptp.inf_inf_set_variable A2) B3) tptp.bot_bot_set_variable) (forall ((X tptp.variable)) (=> (@ (@ tptp.member_variable X) A2) (forall ((Y tptp.variable)) (=> (@ (@ tptp.member_variable Y) B3) (not (= X Y)))))))) (forall ((P Bool) (Q (-> tptp.trm Bool)) (X4 tptp.option_trm) (R4 (-> tptp.option_trm Bool)) (F3 tptp.option_trm) (G (-> tptp.trm tptp.option_trm))) (=> (@ (@ (@ tptp.case_option_o_trm P) Q) X4) (=> (=> P (@ R4 F3)) (=> (forall ((Q2 tptp.trm)) (=> (@ Q Q2) (@ R4 (@ G Q2)))) (@ R4 (@ (@ (@ tptp.case_o487727941rm_trm F3) G) X4)))))) _let_25 (forall ((H (-> (-> tptp.char tptp.option_fml) tptp.char tptp.option_fml)) (F3 (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.char tptp.option_fml)) (Prod tptp.produc1418842292n_game)) (= (@ H (@ (@ tptp.produc1250175341on_fml F3) Prod)) (@ (@ tptp.produc1250175341on_fml (lambda ((X1 (-> tptp.char tptp.option_trm)) (X24 tptp.produc62062515n_game) (__flatten_var_0 tptp.char)) (@ (@ H (@ (@ F3 X1) X24)) __flatten_var_0))) Prod))) (forall ((H (-> (-> tptp.char tptp.option_trm) tptp.char tptp.option_trm)) (F3 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm)) (Prod tptp.produc62062515n_game)) (= (@ H (@ (@ tptp.produc1231571704on_trm F3) Prod)) (@ (@ tptp.produc1231571704on_trm (lambda ((X1 (-> tptp.char tptp.option_trm)) (X24 tptp.produc799602994n_game) (__flatten_var_0 tptp.char)) (@ (@ H (@ (@ F3 X1) X24)) __flatten_var_0))) Prod))) (forall ((H (-> (-> tptp.char tptp.option_trm) tptp.char tptp.option_fml)) (F3 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm)) (Prod tptp.produc62062515n_game)) (= (@ H (@ (@ tptp.produc1231571704on_trm F3) Prod)) (@ (@ tptp.produc1615133358on_fml (lambda ((X1 (-> tptp.char tptp.option_trm)) (X24 tptp.produc799602994n_game) (__flatten_var_0 tptp.char)) (@ (@ H (@ (@ F3 X1) X24)) __flatten_var_0))) Prod))) (forall ((H (-> (-> tptp.char tptp.option_fml) tptp.char tptp.option_trm)) (F3 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml)) (Prod tptp.produc62062515n_game)) (= (@ H (@ (@ tptp.produc1615133358on_fml F3) Prod)) (@ (@ tptp.produc1231571704on_trm (lambda ((X1 (-> tptp.char tptp.option_trm)) (X24 tptp.produc799602994n_game) (__flatten_var_0 tptp.char)) (@ (@ H (@ (@ F3 X1) X24)) __flatten_var_0))) Prod))) (forall ((H (-> (-> tptp.char tptp.option_fml) tptp.char tptp.option_fml)) (F3 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml)) (Prod tptp.produc62062515n_game)) (= (@ H (@ (@ tptp.produc1615133358on_fml F3) Prod)) (@ (@ tptp.produc1615133358on_fml (lambda ((X1 (-> tptp.char tptp.option_trm)) (X24 tptp.produc799602994n_game) (__flatten_var_0 tptp.char)) (@ (@ H (@ (@ F3 X1) X24)) __flatten_var_0))) Prod))) (forall ((H (-> (-> tptp.char tptp.option_trm) tptp.char tptp.option_trm)) (F3 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm)) (Prod tptp.produc799602994n_game)) (= (@ H (@ (@ tptp.produc1036610745on_trm F3) Prod)) (@ (@ tptp.produc1036610745on_trm (lambda ((X1 (-> tptp.char tptp.option_fml)) (X24 (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ (@ H (@ (@ F3 X1) X24)) __flatten_var_0))) Prod))) (forall ((H (-> (-> tptp.char tptp.option_trm) tptp.char tptp.option_fml)) (F3 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm)) (Prod tptp.produc799602994n_game)) (= (@ H (@ (@ tptp.produc1036610745on_trm F3) Prod)) (@ (@ tptp.produc1420172399on_fml (lambda ((X1 (-> tptp.char tptp.option_fml)) (X24 (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ (@ H (@ (@ F3 X1) X24)) __flatten_var_0))) Prod))) (forall ((H (-> (-> tptp.char tptp.option_fml) tptp.char tptp.option_trm)) (F3 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml)) (Prod tptp.produc799602994n_game)) (= (@ H (@ (@ tptp.produc1420172399on_fml F3) Prod)) (@ (@ tptp.produc1036610745on_trm (lambda ((X1 (-> tptp.char tptp.option_fml)) (X24 (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ (@ H (@ (@ F3 X1) X24)) __flatten_var_0))) Prod))) (forall ((H (-> (-> tptp.char tptp.option_fml) tptp.char tptp.option_fml)) (F3 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml)) (Prod tptp.produc799602994n_game)) (= (@ H (@ (@ tptp.produc1420172399on_fml F3) Prod)) (@ (@ tptp.produc1420172399on_fml (lambda ((X1 (-> tptp.char tptp.option_fml)) (X24 (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ (@ H (@ (@ F3 X1) X24)) __flatten_var_0))) Prod))) (forall ((R4 tptp.set_char) (S tptp.set_char)) (= (@ (@ tptp.inf_inf_char_o (lambda ((X tptp.char)) (@ (@ tptp.member_char X) R4))) (lambda ((X tptp.char)) (@ (@ tptp.member_char X) S))) (lambda ((X tptp.char)) (@ (@ tptp.member_char X) (@ (@ tptp.inf_inf_set_char R4) S))))) (forall ((R4 tptp.set_variable) (S tptp.set_variable)) (= (@ (@ tptp.inf_inf_variable_o (lambda ((X tptp.variable)) (@ (@ tptp.member_variable X) R4))) (lambda ((X tptp.variable)) (@ (@ tptp.member_variable X) S))) (lambda ((X tptp.variable)) (@ (@ tptp.member_variable X) (@ (@ tptp.inf_inf_set_variable R4) S))))) (forall ((V2 tptp.trm)) (= (@ (@ tptp.uSubst918876924Timeso (@ tptp.some_trm V2)) tptp.none_trm) tptp.none_trm)) (forall ((V2 tptp.trm)) (= (@ (@ tptp.uSubst141955042_Pluso (@ tptp.some_trm V2)) tptp.none_trm) tptp.none_trm)) (forall ((Eta2 tptp.option_trm)) (= (@ (@ tptp.uSubst141955042_Pluso tptp.none_trm) Eta2) tptp.none_trm)) (forall ((Eta2 tptp.option_trm)) (= (@ (@ tptp.uSubst918876924Timeso tptp.none_trm) Eta2) tptp.none_trm)) (forall ((Theta2 tptp.option_trm) (Eta2 tptp.option_trm)) (= (= (@ (@ tptp.uSubst141955042_Pluso Theta2) Eta2) tptp.none_trm) (or (= Theta2 tptp.none_trm) (= Eta2 tptp.none_trm)))) (forall ((Theta2 tptp.option_trm) (Eta2 tptp.option_trm)) (= (= (@ (@ tptp.uSubst918876924Timeso Theta2) Eta2) tptp.none_trm) (or (= Theta2 tptp.none_trm) (= Eta2 tptp.none_trm)))) (= tptp.bot_bot_char_o (lambda ((X tptp.char)) (@ (@ tptp.member_char X) tptp.bot_bot_set_char))) _let_24 (forall ((P (-> tptp.char Bool))) (= (= (@ tptp.collect_char P) tptp.bot_bot_set_char) (= P tptp.bot_bot_char_o))) _let_23 _let_22 _let_21 _let_20 _let_19 _let_18 (forall ((X4 tptp.option_trm) (Xa tptp.option_trm) (Y2 tptp.option_trm)) (let ((_let_1 (not (= Y2 tptp.none_trm)))) (=> (= (@ (@ tptp.uSubst141955042_Pluso X4) Xa) Y2) (=> (forall ((Theta tptp.trm)) (=> (= X4 (@ tptp.some_trm Theta)) (forall ((Eta tptp.trm)) (=> (= Xa (@ tptp.some_trm Eta)) (not (= Y2 (@ tptp.some_trm (@ (@ tptp.plus Theta) Eta)))))))) (=> (=> (= X4 tptp.none_trm) _let_1) (not (=> (exists ((V tptp.trm)) (= X4 (@ tptp.some_trm V))) (=> (= Xa tptp.none_trm) _let_1)))))))) (forall ((X4 tptp.option_trm) (Xa tptp.option_trm) (Y2 tptp.option_trm)) (let ((_let_1 (not (= Y2 tptp.none_trm)))) (=> (= (@ (@ tptp.uSubst918876924Timeso X4) Xa) Y2) (=> (forall ((Theta tptp.trm)) (=> (= X4 (@ tptp.some_trm Theta)) (forall ((Eta tptp.trm)) (=> (= Xa (@ tptp.some_trm Eta)) (not (= Y2 (@ tptp.some_trm (@ (@ tptp.times Theta) Eta)))))))) (=> (=> (= X4 tptp.none_trm) _let_1) (not (=> (exists ((V tptp.trm)) (= X4 (@ tptp.some_trm V))) (=> (= Xa tptp.none_trm) _let_1)))))))) (forall ((X51 tptp.trm) (X52 tptp.trm) (Y51 tptp.trm) (Y52 tptp.trm)) (= (= (@ (@ tptp.plus X51) X52) (@ (@ tptp.plus Y51) Y52)) (and (= X51 Y51) (= X52 Y52)))) (forall ((X61 tptp.trm) (X62 tptp.trm) (Y61 tptp.trm) (Y62 tptp.trm)) (= (= (@ (@ tptp.times X61) X62) (@ (@ tptp.times Y61) Y62)) (and (= X61 Y61) (= X62 Y62)))) (forall ((X51 tptp.trm) (X52 tptp.trm) (X61 tptp.trm) (X62 tptp.trm)) (not (= (@ (@ tptp.plus X51) X52) (@ (@ tptp.times X61) X62)))) (forall ((X3 tptp.char) (X51 tptp.trm) (X52 tptp.trm)) (not (= (@ tptp.const X3) (@ (@ tptp.plus X51) X52)))) (forall ((X3 tptp.char) (X61 tptp.trm) (X62 tptp.trm)) (not (= (@ tptp.const X3) (@ (@ tptp.times X61) X62)))) (forall ((X41 tptp.char) (X42 tptp.trm) (X51 tptp.trm) (X52 tptp.trm)) (not (= (@ (@ tptp.func X41) X42) (@ (@ tptp.plus X51) X52)))) (forall ((X41 tptp.char) (X42 tptp.trm) (X61 tptp.trm) (X62 tptp.trm)) (not (= (@ (@ tptp.func X41) X42) (@ (@ tptp.times X61) X62)))) (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (Theta2 tptp.trm) (Eta2 tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (=> (not (= (@ _let_1 (@ (@ tptp.times Theta2) Eta2)) tptp.none_trm)) (and (not (= (@ _let_1 Theta2) tptp.none_trm)) (not (= (@ _let_1 Eta2) tptp.none_trm)))))) (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (Theta2 tptp.trm) (Eta2 tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (=> (not (= (@ _let_1 (@ (@ tptp.plus Theta2) Eta2)) tptp.none_trm)) (and (not (= (@ _let_1 Theta2) tptp.none_trm)) (not (= (@ _let_1 Eta2) tptp.none_trm)))))) (forall ((Theta2 tptp.trm) (Eta2 tptp.trm)) (= (@ (@ tptp.uSubst918876924Timeso (@ tptp.some_trm Theta2)) (@ tptp.some_trm Eta2)) (@ tptp.some_trm (@ (@ tptp.times Theta2) Eta2)))) (forall ((Theta2 tptp.trm) (Eta2 tptp.trm)) (= (@ (@ tptp.uSubst141955042_Pluso (@ tptp.some_trm Theta2)) (@ tptp.some_trm Eta2)) (@ tptp.some_trm (@ (@ tptp.plus Theta2) Eta2)))) (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (Theta2 tptp.trm) (Eta2 tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (= (@ _let_1 (@ (@ tptp.times Theta2) Eta2)) (@ (@ tptp.uSubst918876924Timeso (@ _let_1 Theta2)) (@ _let_1 Eta2))))) (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (Theta2 tptp.trm) (Eta2 tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (= (@ _let_1 (@ (@ tptp.plus Theta2) Eta2)) (@ (@ tptp.uSubst141955042_Pluso (@ _let_1 Theta2)) (@ _let_1 Eta2))))) (forall ((X4 tptp.produc1418842292n_game) (Xa tptp.set_variable) (Xb tptp.trm) (Y2 tptp.option_trm)) (=> (= (@ (@ (@ tptp.uSubst516392818stappt X4) Xa) Xb) Y2) (=> (forall ((X2 tptp.variable)) (let ((_let_1 (@ tptp.var X2))) (=> (= Xb _let_1) (not (= Y2 (@ tptp.some_trm _let_1)))))) (=> (forall ((R3 tptp.real)) (let ((_let_1 (@ tptp.number R3))) (=> (= Xb _let_1) (not (= Y2 (@ tptp.some_trm _let_1)))))) (=> (forall ((F5 tptp.char)) (=> (= Xb (@ tptp.const F5)) (not (= Y2 (@ (@ (@ tptp.uSubst1559070963pconst X4) Xa) F5))))) (=> (forall ((F5 tptp.char) (Theta tptp.trm)) (=> (= Xb (@ (@ tptp.func F5) Theta)) (not (= Y2 (@ (@ (@ tptp.case_o487727941rm_trm tptp.none_trm) (lambda ((Sigma_theta2 tptp.trm)) (@ (@ (@ tptp.case_o487727941rm_trm (@ tptp.some_trm (@ (@ tptp.func F5) Sigma_theta2))) (lambda ((R tptp.trm)) (@ (@ (@ tptp.if_option_trm (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT R)) Xa) tptp.bot_bot_set_variable)) (@ (@ (@ tptp.uSubst516392818stappt (@ tptp.uSubst1408967625substt Sigma_theta2)) tptp.bot_bot_set_variable) R)) tptp.none_trm))) (@ (@ (@ tptp.produc866613687on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((F4 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F4 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) X4) F5)))) (@ (@ (@ tptp.uSubst516392818stappt X4) Xa) Theta)))))) (=> (forall ((Theta tptp.trm) (Eta tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt X4) Xa))) (=> (= Xb (@ (@ tptp.plus Theta) Eta)) (not (= Y2 (@ (@ tptp.uSubst141955042_Pluso (@ _let_1 Theta)) (@ _let_1 Eta))))))) (=> (forall ((Theta tptp.trm) (Eta tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt X4) Xa))) (=> (= Xb (@ (@ tptp.times Theta) Eta)) (not (= Y2 (@ (@ tptp.uSubst918876924Timeso (@ _let_1 Theta)) (@ _let_1 Eta))))))) (not (forall ((Theta tptp.trm)) (=> (= Xb (@ tptp.differential Theta)) (not (= Y2 (@ tptp.uSubst716837505ntialo (@ (@ (@ tptp.uSubst516392818stappt X4) (@ tptp.collect_variable (lambda ((X tptp.variable)) true))) Theta))))))))))))))) (forall ((P (-> tptp.produc1418842292n_game tptp.set_variable tptp.trm Bool)) (A0 tptp.produc1418842292n_game) (A1 tptp.set_variable) (A22 tptp.trm)) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (X2 tptp.variable)) (@ (@ (@ P Sigma3) U3) (@ tptp.var X2))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (R3 tptp.real)) (@ (@ (@ P Sigma3) U3) (@ tptp.number R3))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (F5 tptp.char)) (@ (@ (@ P Sigma3) U3) (@ tptp.const F5))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (F5 tptp.char) (Theta tptp.trm)) (let ((_let_1 (@ (@ P Sigma3) U3))) (=> (@ _let_1 Theta) (=> (forall ((X25 tptp.trm)) (=> (= (@ (@ (@ tptp.uSubst516392818stappt Sigma3) U3) Theta) (@ tptp.some_trm X25)) (forall ((X2a tptp.trm)) (=> (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((F4 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F4 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma3) F5) (@ tptp.some_trm X2a)) (=> (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT X2a)) U3) tptp.bot_bot_set_variable) (@ (@ (@ P (@ tptp.uSubst1408967625substt X25)) tptp.bot_bot_set_variable) X2a)))))) (@ _let_1 (@ (@ tptp.func F5) Theta)))))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (Theta tptp.trm)) (=> (@ (@ (@ P Sigma3) U3) Theta) (forall ((Eta tptp.trm)) (let ((_let_1 (@ (@ P Sigma3) U3))) (=> (@ _let_1 Eta) (@ _let_1 (@ (@ tptp.plus Theta) Eta))))))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (Theta tptp.trm)) (=> (@ (@ (@ P Sigma3) U3) Theta) (forall ((Eta tptp.trm)) (let ((_let_1 (@ (@ P Sigma3) U3))) (=> (@ _let_1 Eta) (@ _let_1 (@ (@ tptp.times Theta) Eta))))))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (Theta tptp.trm)) (let ((_let_1 (@ P Sigma3))) (=> (@ (@ _let_1 (@ tptp.collect_variable (lambda ((X tptp.variable)) true))) Theta) (@ (@ _let_1 U3) (@ tptp.differential Theta))))) (@ (@ (@ P A0) A1) A22))))))))) (forall ((V2 tptp.trm)) (= (@ (@ tptp.uSubst152838031e_Geqo (@ tptp.some_trm V2)) tptp.none_trm) tptp.none_fml)) _let_17 _let_16 _let_15 (forall ((X22 tptp.real) (Y22 tptp.real)) (= (= (@ tptp.number X22) (@ tptp.number Y22)) (= X22 Y22))) (forall ((X12 tptp.variable) (Y1 tptp.variable)) (= (= (@ tptp.var X12) (@ tptp.var Y1)) (= X12 Y1))) (forall ((X7 tptp.trm) (Y7 tptp.trm)) (= (= (@ tptp.differential X7) (@ tptp.differential Y7)) (= X7 Y7))) (forall ((F3 (-> tptp.trm tptp.trm tptp.trm)) (X4 tptp.option_trm)) (= (@ (@ (@ tptp.combine_options_trm F3) X4) tptp.none_trm) X4)) (forall ((F3 (-> tptp.fml tptp.fml tptp.fml)) (X4 tptp.option_fml)) (= (@ (@ (@ tptp.combine_options_fml F3) X4) tptp.none_fml) X4)) (forall ((F3 (-> tptp.game tptp.game tptp.game)) (X4 tptp.option_game)) (= (@ (@ (@ tptp.combine_options_game F3) X4) tptp.none_game) X4)) (forall ((F3 (-> tptp.trm tptp.trm tptp.trm)) (Y2 tptp.option_trm)) (= (@ (@ (@ tptp.combine_options_trm F3) tptp.none_trm) Y2) Y2)) (forall ((F3 (-> tptp.fml tptp.fml tptp.fml)) (Y2 tptp.option_fml)) (= (@ (@ (@ tptp.combine_options_fml F3) tptp.none_fml) Y2) Y2)) (forall ((F3 (-> tptp.game tptp.game tptp.game)) (Y2 tptp.option_game)) (= (@ (@ (@ tptp.combine_options_game F3) tptp.none_game) Y2) Y2)) (forall ((F3 (-> tptp.trm tptp.trm tptp.trm)) (A tptp.trm) (B tptp.trm)) (= (@ (@ (@ tptp.combine_options_trm F3) (@ tptp.some_trm A)) (@ tptp.some_trm B)) (@ tptp.some_trm (@ (@ F3 A) B)))) (forall ((F3 (-> tptp.fml tptp.fml tptp.fml)) (A tptp.fml) (B tptp.fml)) (= (@ (@ (@ tptp.combine_options_fml F3) (@ tptp.some_fml A)) (@ tptp.some_fml B)) (@ tptp.some_fml (@ (@ F3 A) B)))) (forall ((F3 (-> tptp.game tptp.game tptp.game)) (A tptp.game) (B tptp.game)) (= (@ (@ (@ tptp.combine_options_game F3) (@ tptp.some_game A)) (@ tptp.some_game B)) (@ tptp.some_game (@ (@ F3 A) B)))) (forall ((Theta2 tptp.trm)) (= (@ tptp.uSubst716837505ntialo (@ tptp.some_trm Theta2)) (@ tptp.some_trm (@ tptp.differential Theta2)))) (forall ((X22 tptp.real) (X7 tptp.trm)) (not (= (@ tptp.number X22) (@ tptp.differential X7)))) (forall ((X12 tptp.variable) (X7 tptp.trm)) (not (= (@ tptp.var X12) (@ tptp.differential X7)))) (forall ((X12 tptp.variable) (X22 tptp.real)) (not (= (@ tptp.var X12) (@ tptp.number X22)))) (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (Theta2 tptp.trm)) (let ((_let_1 (@ tptp.uSubst516392818stappt Sigma2))) (= (@ (@ _let_1 U2) (@ tptp.differential Theta2)) (@ tptp.uSubst716837505ntialo (@ (@ _let_1 (@ tptp.collect_variable (lambda ((X tptp.variable)) true))) Theta2))))) (forall ((X22 tptp.real) (X3 tptp.char)) (not (= (@ tptp.number X22) (@ tptp.const X3)))) (forall ((X22 tptp.real) (X41 tptp.char) (X42 tptp.trm)) (not (= (@ tptp.number X22) (@ (@ tptp.func X41) X42)))) (forall ((X22 tptp.real) (X61 tptp.trm) (X62 tptp.trm)) (not (= (@ tptp.number X22) (@ (@ tptp.times X61) X62)))) (forall ((X22 tptp.real) (X51 tptp.trm) (X52 tptp.trm)) (not (= (@ tptp.number X22) (@ (@ tptp.plus X51) X52)))) (forall ((X4 tptp.option_trm) (Y2 tptp.option_trm)) (=> (= (@ tptp.uSubst716837505ntialo X4) Y2) (=> (forall ((Theta tptp.trm)) (=> (= X4 (@ tptp.some_trm Theta)) (not (= Y2 (@ tptp.some_trm (@ tptp.differential Theta)))))) (not (=> (= X4 tptp.none_trm) (not (= Y2 tptp.none_trm))))))) (forall ((X12 tptp.variable) (X3 tptp.char)) (not (= (@ tptp.var X12) (@ tptp.const X3)))) (forall ((X12 tptp.variable) (X41 tptp.char) (X42 tptp.trm)) (not (= (@ tptp.var X12) (@ (@ tptp.func X41) X42)))) (forall ((X12 tptp.variable) (X61 tptp.trm) (X62 tptp.trm)) (not (= (@ tptp.var X12) (@ (@ tptp.times X61) X62)))) (forall ((X12 tptp.variable) (X51 tptp.trm) (X52 tptp.trm)) (not (= (@ tptp.var X12) (@ (@ tptp.plus X51) X52)))) (forall ((X3 tptp.char) (X7 tptp.trm)) (not (= (@ tptp.const X3) (@ tptp.differential X7)))) (forall ((X41 tptp.char) (X42 tptp.trm) (X7 tptp.trm)) (not (= (@ (@ tptp.func X41) X42) (@ tptp.differential X7)))) (forall ((X61 tptp.trm) (X62 tptp.trm) (X7 tptp.trm)) (not (= (@ (@ tptp.times X61) X62) (@ tptp.differential X7)))) (forall ((X51 tptp.trm) (X52 tptp.trm) (X7 tptp.trm)) (not (= (@ (@ tptp.plus X51) X52) (@ tptp.differential X7)))) (forall ((Y2 tptp.trm)) (=> (forall ((X13 tptp.variable)) (not (= Y2 (@ tptp.var X13)))) (=> (forall ((X23 tptp.real)) (not (= Y2 (@ tptp.number X23)))) (=> (forall ((X32 tptp.char)) (not (= Y2 (@ tptp.const X32)))) (=> (forall ((X412 tptp.char) (X422 tptp.trm)) (not (= Y2 (@ (@ tptp.func X412) X422)))) (=> (forall ((X512 tptp.trm) (X522 tptp.trm)) (not (= Y2 (@ (@ tptp.plus X512) X522)))) (=> (forall ((X612 tptp.trm) (X622 tptp.trm)) (not (= Y2 (@ (@ tptp.times X612) X622)))) (not (forall ((X72 tptp.trm)) (not (= Y2 (@ tptp.differential X72)))))))))))) (forall ((P (-> tptp.trm Bool)) (Trm tptp.trm)) (=> (forall ((X2 tptp.variable)) (@ P (@ tptp.var X2))) (=> (forall ((X2 tptp.real)) (@ P (@ tptp.number X2))) (=> (forall ((X2 tptp.char)) (@ P (@ tptp.const X2))) (=> (forall ((X1a tptp.char) (X2a2 tptp.trm)) (=> (@ P X2a2) (@ P (@ (@ tptp.func X1a) X2a2)))) (=> (forall ((X1a tptp.trm) (X2a2 tptp.trm)) (=> (@ P X1a) (=> (@ P X2a2) (@ P (@ (@ tptp.plus X1a) X2a2))))) (=> (forall ((X1a tptp.trm) (X2a2 tptp.trm)) (=> (@ P X1a) (=> (@ P X2a2) (@ P (@ (@ tptp.times X1a) X2a2))))) (=> (forall ((X2 tptp.trm)) (=> (@ P X2) (@ P (@ tptp.differential X2)))) (@ P Trm))))))))) (forall ((Eta2 tptp.option_trm)) (= (@ (@ tptp.uSubst152838031e_Geqo tptp.none_trm) Eta2) tptp.none_fml)) (forall ((Theta2 tptp.option_trm) (Eta2 tptp.option_trm)) (= (= (@ (@ tptp.uSubst152838031e_Geqo Theta2) Eta2) tptp.none_fml) (or (= Theta2 tptp.none_trm) (= Eta2 tptp.none_trm)))) (= (@ tptp.uSubst716837505ntialo tptp.none_trm) tptp.none_trm) (forall ((Theta2 tptp.option_trm)) (= (= (@ tptp.uSubst716837505ntialo Theta2) tptp.none_trm) (= Theta2 tptp.none_trm))) (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (R2 tptp.real)) (let ((_let_1 (@ tptp.number R2))) (= (@ (@ (@ tptp.uSubst516392818stappt Sigma2) U2) _let_1) (@ tptp.some_trm _let_1)))) (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (X4 tptp.variable)) (let ((_let_1 (@ tptp.var X4))) (= (@ (@ (@ tptp.uSubst516392818stappt Sigma2) U2) _let_1) (@ tptp.some_trm _let_1)))) (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (Theta2 tptp.trm)) (let ((_let_1 (@ tptp.uSubst516392818stappt Sigma2))) (=> (not (= (@ (@ _let_1 U2) (@ tptp.differential Theta2)) tptp.none_trm)) (not (= (@ (@ _let_1 (@ tptp.collect_variable (lambda ((X tptp.variable)) true))) Theta2) tptp.none_trm))))) (forall ((X4 tptp.produc1418842292n_game) (Xa tptp.set_variable) (Xb tptp.trm) (Y2 tptp.option_trm)) (=> (= (@ (@ (@ tptp.uSubst516392818stappt X4) Xa) Xb) Y2) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm X4) (@ (@ tptp.produc1482344242le_trm Xa) Xb))) (=> (forall ((X2 tptp.variable)) (let ((_let_1 (@ tptp.var X2))) (=> (= Xb _let_1) (=> (= Y2 (@ tptp.some_trm _let_1)) (not (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm X4) (@ (@ tptp.produc1482344242le_trm Xa) _let_1)))))))) (=> (forall ((R3 tptp.real)) (let ((_let_1 (@ tptp.number R3))) (=> (= Xb _let_1) (=> (= Y2 (@ tptp.some_trm _let_1)) (not (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm X4) (@ (@ tptp.produc1482344242le_trm Xa) _let_1)))))))) (=> (forall ((F5 tptp.char)) (let ((_let_1 (@ tptp.const F5))) (=> (= Xb _let_1) (=> (= Y2 (@ (@ (@ tptp.uSubst1559070963pconst X4) Xa) F5)) (not (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm X4) (@ (@ tptp.produc1482344242le_trm Xa) _let_1)))))))) (=> (forall ((F5 tptp.char) (Theta tptp.trm)) (let ((_let_1 (@ (@ tptp.func F5) Theta))) (=> (= Xb _let_1) (=> (= Y2 (@ (@ (@ tptp.case_o487727941rm_trm tptp.none_trm) (lambda ((Sigma_theta2 tptp.trm)) (@ (@ (@ tptp.case_o487727941rm_trm (@ tptp.some_trm (@ (@ tptp.func F5) Sigma_theta2))) (lambda ((R tptp.trm)) (@ (@ (@ tptp.if_option_trm (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT R)) Xa) tptp.bot_bot_set_variable)) (@ (@ (@ tptp.uSubst516392818stappt (@ tptp.uSubst1408967625substt Sigma_theta2)) tptp.bot_bot_set_variable) R)) tptp.none_trm))) (@ (@ (@ tptp.produc866613687on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((F4 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F4 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) X4) F5)))) (@ (@ (@ tptp.uSubst516392818stappt X4) Xa) Theta))) (not (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm X4) (@ (@ tptp.produc1482344242le_trm Xa) _let_1)))))))) (=> (forall ((Theta tptp.trm) (Eta tptp.trm)) (let ((_let_1 (@ (@ tptp.plus Theta) Eta))) (let ((_let_2 (@ (@ tptp.uSubst516392818stappt X4) Xa))) (=> (= Xb _let_1) (=> (= Y2 (@ (@ tptp.uSubst141955042_Pluso (@ _let_2 Theta)) (@ _let_2 Eta))) (not (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm X4) (@ (@ tptp.produc1482344242le_trm Xa) _let_1))))))))) (=> (forall ((Theta tptp.trm) (Eta tptp.trm)) (let ((_let_1 (@ (@ tptp.times Theta) Eta))) (let ((_let_2 (@ (@ tptp.uSubst516392818stappt X4) Xa))) (=> (= Xb _let_1) (=> (= Y2 (@ (@ tptp.uSubst918876924Timeso (@ _let_2 Theta)) (@ _let_2 Eta))) (not (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm X4) (@ (@ tptp.produc1482344242le_trm Xa) _let_1))))))))) (not (forall ((Theta tptp.trm)) (let ((_let_1 (@ tptp.differential Theta))) (=> (= Xb _let_1) (=> (= Y2 (@ tptp.uSubst716837505ntialo (@ (@ (@ tptp.uSubst516392818stappt X4) (@ tptp.collect_variable (lambda ((X tptp.variable)) true))) Theta))) (not (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm X4) (@ (@ tptp.produc1482344242le_trm Xa) _let_1)))))))))))))))))) (forall ((X4 tptp.produc833882726rp_trm)) (=> (forall ((I tptp.denotational_interp) (X2 tptp.variable)) (not (= X4 (@ (@ tptp.produc1132922070rp_trm I) (@ tptp.var X2))))) (=> (forall ((I tptp.denotational_interp) (R3 tptp.real)) (not (= X4 (@ (@ tptp.produc1132922070rp_trm I) (@ tptp.number R3))))) (=> (forall ((I tptp.denotational_interp) (F5 tptp.char)) (not (= X4 (@ (@ tptp.produc1132922070rp_trm I) (@ tptp.const F5))))) (=> (forall ((I tptp.denotational_interp) (F5 tptp.char) (Theta tptp.trm)) (not (= X4 (@ (@ tptp.produc1132922070rp_trm I) (@ (@ tptp.func F5) Theta))))) (=> (forall ((I tptp.denotational_interp) (Theta tptp.trm) (Eta tptp.trm)) (not (= X4 (@ (@ tptp.produc1132922070rp_trm I) (@ (@ tptp.plus Theta) Eta))))) (=> (forall ((I tptp.denotational_interp) (Theta tptp.trm) (Eta tptp.trm)) (not (= X4 (@ (@ tptp.produc1132922070rp_trm I) (@ (@ tptp.times Theta) Eta))))) (not (forall ((I tptp.denotational_interp) (Theta tptp.trm)) (not (= X4 (@ (@ tptp.produc1132922070rp_trm I) (@ tptp.differential Theta))))))))))))) (forall ((P (-> tptp.denotational_interp tptp.trm Bool)) (A0 tptp.denotational_interp) (A1 tptp.trm)) (=> (forall ((I tptp.denotational_interp) (X2 tptp.variable)) (@ (@ P I) (@ tptp.var X2))) (=> (forall ((I tptp.denotational_interp) (R3 tptp.real)) (@ (@ P I) (@ tptp.number R3))) (=> (forall ((I tptp.denotational_interp) (F5 tptp.char)) (@ (@ P I) (@ tptp.const F5))) (=> (forall ((I tptp.denotational_interp) (F5 tptp.char) (Theta tptp.trm)) (let ((_let_1 (@ P I))) (=> (@ _let_1 Theta) (@ _let_1 (@ (@ tptp.func F5) Theta))))) (=> (forall ((I tptp.denotational_interp) (Theta tptp.trm)) (=> (@ (@ P I) Theta) (forall ((Eta tptp.trm)) (let ((_let_1 (@ P I))) (=> (@ _let_1 Eta) (@ _let_1 (@ (@ tptp.plus Theta) Eta))))))) (=> (forall ((I tptp.denotational_interp) (Theta tptp.trm)) (=> (@ (@ P I) Theta) (forall ((Eta tptp.trm)) (let ((_let_1 (@ P I))) (=> (@ _let_1 Eta) (@ _let_1 (@ (@ tptp.times Theta) Eta))))))) (=> (forall ((I tptp.denotational_interp) (Theta tptp.trm)) (let ((_let_1 (@ P I))) (=> (=> (exists ((Xa2 tptp.char)) (@ (@ tptp.member_char Xa2) (@ tptp.collect_char (lambda ((Uu tptp.char)) true)))) (@ _let_1 Theta)) (@ _let_1 (@ tptp.differential Theta))))) (@ (@ P A0) A1))))))))) (forall ((A tptp.char) (B tptp.option_trm) (A6 tptp.char) (B6 tptp.option_trm)) (= (= (@ (@ tptp.produc1500300866on_trm A) B) (@ (@ tptp.produc1500300866on_trm A6) B6)) (and (= A A6) (= B B6)))) (forall ((A tptp.set_variable) (B tptp.trm) (A6 tptp.set_variable) (B6 tptp.trm)) (= (= (@ (@ tptp.produc1482344242le_trm A) B) (@ (@ tptp.produc1482344242le_trm A6) B6)) (and (= A A6) (= B B6)))) (forall ((A (-> tptp.char tptp.option_trm)) (B tptp.produc62062515n_game) (A6 (-> tptp.char tptp.option_trm)) (B6 tptp.produc62062515n_game)) (= (= (@ (@ tptp.produc1618635950n_game A) B) (@ (@ tptp.produc1618635950n_game A6) B6)) (and (= A A6) (= B B6)))) (forall ((A (-> tptp.char tptp.option_trm)) (B tptp.produc799602994n_game) (A6 (-> tptp.char tptp.option_trm)) (B6 tptp.produc799602994n_game)) (= (= (@ (@ tptp.produc1048060077n_game A) B) (@ (@ tptp.produc1048060077n_game A6) B6)) (and (= A A6) (= B B6)))) (forall ((A (-> tptp.char tptp.option_fml)) (B (-> tptp.char tptp.option_game)) (A6 (-> tptp.char tptp.option_fml)) (B6 (-> tptp.char tptp.option_game))) (= (= (@ (@ tptp.produc123610156n_game A) B) (@ (@ tptp.produc123610156n_game A6) B6)) (and (= A A6) (= B B6)))) (forall ((X12 tptp.char) (X22 tptp.option_trm) (Y1 tptp.char) (Y22 tptp.option_trm)) (= (= (@ (@ tptp.produc1500300866on_trm X12) X22) (@ (@ tptp.produc1500300866on_trm Y1) Y22)) (and (= X12 Y1) (= X22 Y22)))) (forall ((X12 tptp.set_variable) (X22 tptp.trm) (Y1 tptp.set_variable) (Y22 tptp.trm)) (= (= (@ (@ tptp.produc1482344242le_trm X12) X22) (@ (@ tptp.produc1482344242le_trm Y1) Y22)) (and (= X12 Y1) (= X22 Y22)))) (forall ((X12 (-> tptp.char tptp.option_trm)) (X22 tptp.produc62062515n_game) (Y1 (-> tptp.char tptp.option_trm)) (Y22 tptp.produc62062515n_game)) (= (= (@ (@ tptp.produc1618635950n_game X12) X22) (@ (@ tptp.produc1618635950n_game Y1) Y22)) (and (= X12 Y1) (= X22 Y22)))) (forall ((X12 (-> tptp.char tptp.option_trm)) (X22 tptp.produc799602994n_game) (Y1 (-> tptp.char tptp.option_trm)) (Y22 tptp.produc799602994n_game)) (= (= (@ (@ tptp.produc1048060077n_game X12) X22) (@ (@ tptp.produc1048060077n_game Y1) Y22)) (and (= X12 Y1) (= X22 Y22)))) (forall ((X12 (-> tptp.char tptp.option_fml)) (X22 (-> tptp.char tptp.option_game)) (Y1 (-> tptp.char tptp.option_fml)) (Y22 (-> tptp.char tptp.option_game))) (= (= (@ (@ tptp.produc123610156n_game X12) X22) (@ (@ tptp.produc123610156n_game Y1) Y22)) (and (= X12 Y1) (= X22 Y22)))) (forall ((F3 (-> tptp.char tptp.option_trm Bool)) (A tptp.char) (B tptp.option_trm)) (=> (@ (@ F3 A) B) (@ (@ tptp.produc584666985_trm_o F3) (@ (@ tptp.produc1500300866on_trm A) B)))) (forall ((F3 (-> tptp.set_variable tptp.trm Bool)) (A tptp.set_variable) (B tptp.trm)) (=> (@ (@ F3 A) B) (@ (@ tptp.produc82209913_trm_o F3) (@ (@ tptp.produc1482344242le_trm A) B)))) (forall ((F3 (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game Bool)) (A (-> tptp.char tptp.option_trm)) (B tptp.produc62062515n_game)) (=> (@ (@ F3 A) B) (@ (@ tptp.produc1707653117game_o F3) (@ (@ tptp.produc1618635950n_game A) B)))) (forall ((F3 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game Bool)) (A (-> tptp.char tptp.option_trm)) (B tptp.produc799602994n_game)) (=> (@ (@ F3 A) B) (@ (@ tptp.produc1868740670game_o F3) (@ (@ tptp.produc1048060077n_game A) B)))) (forall ((F3 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) Bool)) (A (-> tptp.char tptp.option_fml)) (B (-> tptp.char tptp.option_game))) (=> (@ (@ F3 A) B) (@ (@ tptp.produc159680767game_o F3) (@ (@ tptp.produc123610156n_game A) B)))) (forall ((P4 tptp.produc464795408on_trm) (C (-> tptp.char tptp.option_trm Bool))) (=> (forall ((A4 tptp.char) (B4 tptp.option_trm)) (=> (= P4 (@ (@ tptp.produc1500300866on_trm A4) B4)) (@ (@ C A4) B4))) (@ (@ tptp.produc584666985_trm_o C) P4))) (forall ((P4 tptp.produc1367888000le_trm) (C (-> tptp.set_variable tptp.trm Bool))) (=> (forall ((A4 tptp.set_variable) (B4 tptp.trm)) (=> (= P4 (@ (@ tptp.produc1482344242le_trm A4) B4)) (@ (@ C A4) B4))) (@ (@ tptp.produc82209913_trm_o C) P4))) (forall ((P4 tptp.produc1418842292n_game) (C (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game Bool))) (=> (forall ((A4 (-> tptp.char tptp.option_trm)) (B4 tptp.produc62062515n_game)) (=> (= P4 (@ (@ tptp.produc1618635950n_game A4) B4)) (@ (@ C A4) B4))) (@ (@ tptp.produc1707653117game_o C) P4))) (forall ((P4 tptp.produc62062515n_game) (C (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game Bool))) (=> (forall ((A4 (-> tptp.char tptp.option_trm)) (B4 tptp.produc799602994n_game)) (=> (= P4 (@ (@ tptp.produc1048060077n_game A4) B4)) (@ (@ C A4) B4))) (@ (@ tptp.produc1868740670game_o C) P4))) (forall ((P4 tptp.produc799602994n_game) (C (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) Bool))) (=> (forall ((A4 (-> tptp.char tptp.option_fml)) (B4 (-> tptp.char tptp.option_game))) (=> (= P4 (@ (@ tptp.produc123610156n_game A4) B4)) (@ (@ C A4) B4))) (@ (@ tptp.produc159680767game_o C) P4))) (forall ((Z2 tptp.char) (C (-> tptp.char tptp.option_trm tptp.set_char)) (A tptp.char) (B tptp.option_trm)) (let ((_let_1 (@ tptp.member_char Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc33263478t_char C) (@ (@ tptp.produc1500300866on_trm A) B)))))) (forall ((Z2 tptp.char) (C (-> tptp.set_variable tptp.trm tptp.set_char)) (A tptp.set_variable) (B tptp.trm)) (let ((_let_1 (@ tptp.member_char Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc836445798t_char C) (@ (@ tptp.produc1482344242le_trm A) B)))))) (forall ((Z2 tptp.char) (C (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.set_char)) (A (-> tptp.char tptp.option_trm)) (B tptp.produc62062515n_game)) (let ((_let_1 (@ tptp.member_char Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc1002100706t_char C) (@ (@ tptp.produc1618635950n_game A) B)))))) (forall ((Z2 tptp.char) (C (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.set_char)) (A (-> tptp.char tptp.option_trm)) (B tptp.produc799602994n_game)) (let ((_let_1 (@ tptp.member_char Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc1554403041t_char C) (@ (@ tptp.produc1048060077n_game A) B)))))) (forall ((Z2 tptp.char) (C (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.set_char)) (A (-> tptp.char tptp.option_fml)) (B (-> tptp.char tptp.option_game))) (let ((_let_1 (@ tptp.member_char Z2))) (=> (@ _let_1 (@ (@ C A) B)) (@ _let_1 (@ (@ tptp.produc629249376t_char C) (@ (@ tptp.produc123610156n_game A) B)))))) (forall ((P4 tptp.produc464795408on_trm) (Z2 tptp.char) (C (-> tptp.char tptp.option_trm tptp.set_char))) (=> (forall ((A4 tptp.char) (B4 tptp.option_trm)) (=> (= P4 (@ (@ tptp.produc1500300866on_trm A4) B4)) (@ (@ tptp.member_char Z2) (@ (@ C A4) B4)))) (@ (@ tptp.member_char Z2) (@ (@ tptp.produc33263478t_char C) P4)))) (forall ((P4 tptp.produc1367888000le_trm) (Z2 tptp.char) (C (-> tptp.set_variable tptp.trm tptp.set_char))) (=> (forall ((A4 tptp.set_variable) (B4 tptp.trm)) (=> (= P4 (@ (@ tptp.produc1482344242le_trm A4) B4)) (@ (@ tptp.member_char Z2) (@ (@ C A4) B4)))) (@ (@ tptp.member_char Z2) (@ (@ tptp.produc836445798t_char C) P4)))) (forall ((P4 tptp.produc1418842292n_game) (Z2 tptp.char) (C (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.set_char))) (=> (forall ((A4 (-> tptp.char tptp.option_trm)) (B4 tptp.produc62062515n_game)) (=> (= P4 (@ (@ tptp.produc1618635950n_game A4) B4)) (@ (@ tptp.member_char Z2) (@ (@ C A4) B4)))) (@ (@ tptp.member_char Z2) (@ (@ tptp.produc1002100706t_char C) P4)))) (forall ((P4 tptp.produc62062515n_game) (Z2 tptp.char) (C (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.set_char))) (=> (forall ((A4 (-> tptp.char tptp.option_trm)) (B4 tptp.produc799602994n_game)) (=> (= P4 (@ (@ tptp.produc1048060077n_game A4) B4)) (@ (@ tptp.member_char Z2) (@ (@ C A4) B4)))) (@ (@ tptp.member_char Z2) (@ (@ tptp.produc1554403041t_char C) P4)))) (forall ((P4 tptp.produc799602994n_game) (Z2 tptp.char) (C (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.set_char))) (=> (forall ((A4 (-> tptp.char tptp.option_fml)) (B4 (-> tptp.char tptp.option_game))) (=> (= P4 (@ (@ tptp.produc123610156n_game A4) B4)) (@ (@ tptp.member_char Z2) (@ (@ C A4) B4)))) (@ (@ tptp.member_char Z2) (@ (@ tptp.produc629249376t_char C) P4)))) (forall ((F3 (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.char tptp.option_fml)) (A (-> tptp.char tptp.option_trm)) (B tptp.produc62062515n_game)) (= (@ (@ tptp.produc1250175341on_fml F3) (@ (@ tptp.produc1618635950n_game A) B)) (@ (@ F3 A) B))) (forall ((F3 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm)) (A (-> tptp.char tptp.option_trm)) (B tptp.produc799602994n_game)) (= (@ (@ tptp.produc1231571704on_trm F3) (@ (@ tptp.produc1048060077n_game A) B)) (@ (@ F3 A) B))) (forall ((F3 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml)) (A (-> tptp.char tptp.option_trm)) (B tptp.produc799602994n_game)) (= (@ (@ tptp.produc1615133358on_fml F3) (@ (@ tptp.produc1048060077n_game A) B)) (@ (@ F3 A) B))) (forall ((F3 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm)) (A (-> tptp.char tptp.option_fml)) (B (-> tptp.char tptp.option_game))) (= (@ (@ tptp.produc1036610745on_trm F3) (@ (@ tptp.produc123610156n_game A) B)) (@ (@ F3 A) B))) (forall ((F3 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml)) (A (-> tptp.char tptp.option_fml)) (B (-> tptp.char tptp.option_game))) (= (@ (@ tptp.produc1420172399on_fml F3) (@ (@ tptp.produc123610156n_game A) B)) (@ (@ F3 A) B))) (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (Theta2 tptp.trm)) (let ((_let_1 (@ tptp.uSubst516392818stappt Sigma2))) (let ((_let_2 (@ tptp.differential Theta2))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma2) (@ (@ tptp.produc1482344242le_trm U2) _let_2))) (= (@ (@ _let_1 U2) _let_2) (@ tptp.uSubst716837505ntialo (@ (@ _let_1 (@ tptp.collect_variable (lambda ((X tptp.variable)) true))) Theta2))))))) (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (X4 tptp.variable)) (let ((_let_1 (@ tptp.var X4))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma2) (@ (@ tptp.produc1482344242le_trm U2) _let_1))) (= (@ (@ (@ tptp.uSubst516392818stappt Sigma2) U2) _let_1) (@ tptp.some_trm _let_1))))) (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (R2 tptp.real)) (let ((_let_1 (@ tptp.number R2))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma2) (@ (@ tptp.produc1482344242le_trm U2) _let_1))) (= (@ (@ (@ tptp.uSubst516392818stappt Sigma2) U2) _let_1) (@ tptp.some_trm _let_1))))) (forall ((F3 (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.char tptp.option_fml)) (G (-> tptp.produc1418842292n_game tptp.char tptp.option_fml))) (=> (forall ((X2 (-> tptp.char tptp.option_trm)) (Y4 tptp.produc62062515n_game)) (= (@ (@ F3 X2) Y4) (@ G (@ (@ tptp.produc1618635950n_game X2) Y4)))) (= (@ tptp.produc1250175341on_fml F3) G))) (forall ((F3 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm)) (G (-> tptp.produc62062515n_game tptp.char tptp.option_trm))) (=> (forall ((X2 (-> tptp.char tptp.option_trm)) (Y4 tptp.produc799602994n_game)) (= (@ (@ F3 X2) Y4) (@ G (@ (@ tptp.produc1048060077n_game X2) Y4)))) (= (@ tptp.produc1231571704on_trm F3) G))) (forall ((F3 (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml)) (G (-> tptp.produc62062515n_game tptp.char tptp.option_fml))) (=> (forall ((X2 (-> tptp.char tptp.option_trm)) (Y4 tptp.produc799602994n_game)) (= (@ (@ F3 X2) Y4) (@ G (@ (@ tptp.produc1048060077n_game X2) Y4)))) (= (@ tptp.produc1615133358on_fml F3) G))) (forall ((F3 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm)) (G (-> tptp.produc799602994n_game tptp.char tptp.option_trm))) (=> (forall ((X2 (-> tptp.char tptp.option_fml)) (Y4 (-> tptp.char tptp.option_game))) (= (@ (@ F3 X2) Y4) (@ G (@ (@ tptp.produc123610156n_game X2) Y4)))) (= (@ tptp.produc1036610745on_trm F3) G))) (forall ((F3 (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml)) (G (-> tptp.produc799602994n_game tptp.char tptp.option_fml))) (=> (forall ((X2 (-> tptp.char tptp.option_fml)) (Y4 (-> tptp.char tptp.option_game))) (= (@ (@ F3 X2) Y4) (@ G (@ (@ tptp.produc123610156n_game X2) Y4)))) (= (@ tptp.produc1420172399on_fml F3) G))) (forall ((F3 (-> tptp.produc1418842292n_game tptp.char tptp.option_fml))) (= (@ tptp.produc1250175341on_fml (lambda ((X (-> tptp.char tptp.option_trm)) (Y tptp.produc62062515n_game) (__flatten_var_0 tptp.char)) (@ (@ F3 (@ (@ tptp.produc1618635950n_game X) Y)) __flatten_var_0))) F3)) (forall ((F3 (-> tptp.produc62062515n_game tptp.char tptp.option_trm))) (= (@ tptp.produc1231571704on_trm (lambda ((X (-> tptp.char tptp.option_trm)) (Y tptp.produc799602994n_game) (__flatten_var_0 tptp.char)) (@ (@ F3 (@ (@ tptp.produc1048060077n_game X) Y)) __flatten_var_0))) F3)) (forall ((F3 (-> tptp.produc62062515n_game tptp.char tptp.option_fml))) (= (@ tptp.produc1615133358on_fml (lambda ((X (-> tptp.char tptp.option_trm)) (Y tptp.produc799602994n_game) (__flatten_var_0 tptp.char)) (@ (@ F3 (@ (@ tptp.produc1048060077n_game X) Y)) __flatten_var_0))) F3)) (forall ((F3 (-> tptp.produc799602994n_game tptp.char tptp.option_trm))) (= (@ tptp.produc1036610745on_trm (lambda ((X (-> tptp.char tptp.option_fml)) (Y (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ (@ F3 (@ (@ tptp.produc123610156n_game X) Y)) __flatten_var_0))) F3)) (forall ((F3 (-> tptp.produc799602994n_game tptp.char tptp.option_fml))) (= (@ tptp.produc1420172399on_fml (lambda ((X (-> tptp.char tptp.option_fml)) (Y (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ (@ F3 (@ (@ tptp.produc123610156n_game X) Y)) __flatten_var_0))) F3)) (forall ((Q (-> (-> tptp.char tptp.option_fml) Bool)) (P (-> (-> tptp.char tptp.option_trm) tptp.produc62062515n_game tptp.char tptp.option_fml)) (Z2 tptp.produc1418842292n_game)) (=> (@ Q (@ (@ tptp.produc1250175341on_fml P) Z2)) (not (forall ((X2 (-> tptp.char tptp.option_trm)) (Y4 tptp.produc62062515n_game)) (=> (= Z2 (@ (@ tptp.produc1618635950n_game X2) Y4)) (not (@ Q (@ (@ P X2) Y4)))))))) (forall ((Q (-> (-> tptp.char tptp.option_trm) Bool)) (P (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_trm)) (Z2 tptp.produc62062515n_game)) (=> (@ Q (@ (@ tptp.produc1231571704on_trm P) Z2)) (not (forall ((X2 (-> tptp.char tptp.option_trm)) (Y4 tptp.produc799602994n_game)) (=> (= Z2 (@ (@ tptp.produc1048060077n_game X2) Y4)) (not (@ Q (@ (@ P X2) Y4)))))))) (forall ((Q (-> (-> tptp.char tptp.option_fml) Bool)) (P (-> (-> tptp.char tptp.option_trm) tptp.produc799602994n_game tptp.char tptp.option_fml)) (Z2 tptp.produc62062515n_game)) (=> (@ Q (@ (@ tptp.produc1615133358on_fml P) Z2)) (not (forall ((X2 (-> tptp.char tptp.option_trm)) (Y4 tptp.produc799602994n_game)) (=> (= Z2 (@ (@ tptp.produc1048060077n_game X2) Y4)) (not (@ Q (@ (@ P X2) Y4)))))))) (forall ((Q (-> (-> tptp.char tptp.option_trm) Bool)) (P (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_trm)) (Z2 tptp.produc799602994n_game)) (=> (@ Q (@ (@ tptp.produc1036610745on_trm P) Z2)) (not (forall ((X2 (-> tptp.char tptp.option_fml)) (Y4 (-> tptp.char tptp.option_game))) (=> (= Z2 (@ (@ tptp.produc123610156n_game X2) Y4)) (not (@ Q (@ (@ P X2) Y4)))))))) (forall ((Q (-> (-> tptp.char tptp.option_fml) Bool)) (P (-> (-> tptp.char tptp.option_fml) (-> tptp.char tptp.option_game) tptp.char tptp.option_fml)) (Z2 tptp.produc799602994n_game)) (=> (@ Q (@ (@ tptp.produc1420172399on_fml P) Z2)) (not (forall ((X2 (-> tptp.char tptp.option_fml)) (Y4 (-> tptp.char tptp.option_game))) (=> (= Z2 (@ (@ tptp.produc123610156n_game X2) Y4)) (not (@ Q (@ (@ P X2) Y4)))))))) (forall ((R4 tptp.set_Pr943832262on_trm) (S tptp.set_Pr943832262on_trm)) (= (@ (@ tptp.inf_in605351507_trm_o (lambda ((X tptp.char) (Y tptp.option_trm)) (@ (@ tptp.member694524327on_trm (@ (@ tptp.produc1500300866on_trm X) Y)) R4))) (lambda ((X tptp.char) (Y tptp.option_trm)) (@ (@ tptp.member694524327on_trm (@ (@ tptp.produc1500300866on_trm X) Y)) S))) (lambda ((X tptp.char) (Y tptp.option_trm)) (@ (@ tptp.member694524327on_trm (@ (@ tptp.produc1500300866on_trm X) Y)) (@ (@ tptp.inf_in1243659096on_trm R4) S))))) (forall ((R4 tptp.set_Pr1235432374le_trm) (S tptp.set_Pr1235432374le_trm)) (= (@ (@ tptp.inf_in185389155_trm_o (lambda ((X tptp.set_variable) (Y tptp.trm)) (@ (@ tptp.member2122665623le_trm (@ (@ tptp.produc1482344242le_trm X) Y)) R4))) (lambda ((X tptp.set_variable) (Y tptp.trm)) (@ (@ tptp.member2122665623le_trm (@ (@ tptp.produc1482344242le_trm X) Y)) S))) (lambda ((X tptp.set_variable) (Y tptp.trm)) (@ (@ tptp.member2122665623le_trm (@ (@ tptp.produc1482344242le_trm X) Y)) (@ (@ tptp.inf_in906025800le_trm R4) S))))) (forall ((R4 tptp.set_Pr720454634n_game) (S tptp.set_Pr720454634n_game)) (= (@ (@ tptp.inf_in1920662529game_o (lambda ((X (-> tptp.char tptp.option_trm)) (Y tptp.produc62062515n_game)) (@ (@ tptp.member1940201675n_game (@ (@ tptp.produc1618635950n_game X) Y)) R4))) (lambda ((X (-> tptp.char tptp.option_trm)) (Y tptp.produc62062515n_game)) (@ (@ tptp.member1940201675n_game (@ (@ tptp.produc1618635950n_game X) Y)) S))) (lambda ((X (-> tptp.char tptp.option_trm)) (Y tptp.produc62062515n_game)) (@ (@ tptp.member1940201675n_game (@ (@ tptp.produc1618635950n_game X) Y)) (@ (@ tptp.inf_in360367996n_game R4) S))))) (forall ((R4 tptp.set_Pr739694057n_game) (S tptp.set_Pr739694057n_game)) (= (@ (@ tptp.inf_in1072207554game_o (lambda ((X (-> tptp.char tptp.option_trm)) (Y tptp.produc799602994n_game)) (@ (@ tptp.member774167626n_game (@ (@ tptp.produc1048060077n_game X) Y)) R4))) (lambda ((X (-> tptp.char tptp.option_trm)) (Y tptp.produc799602994n_game)) (@ (@ tptp.member774167626n_game (@ (@ tptp.produc1048060077n_game X) Y)) S))) (lambda ((X (-> tptp.char tptp.option_trm)) (Y tptp.produc799602994n_game)) (@ (@ tptp.member774167626n_game (@ (@ tptp.produc1048060077n_game X) Y)) (@ (@ tptp.inf_in69689467n_game R4) S))))) (forall ((R4 tptp.set_Pr79606376n_game) (S tptp.set_Pr79606376n_game)) (= (@ (@ tptp.inf_in243546115game_o (lambda ((X (-> tptp.char tptp.option_fml)) (Y (-> tptp.char tptp.option_game))) (@ (@ tptp.member849814089n_game (@ (@ tptp.produc123610156n_game X) Y)) R4))) (lambda ((X (-> tptp.char tptp.option_fml)) (Y (-> tptp.char tptp.option_game))) (@ (@ tptp.member849814089n_game (@ (@ tptp.produc123610156n_game X) Y)) S))) (lambda ((X (-> tptp.char tptp.option_fml)) (Y (-> tptp.char tptp.option_game))) (@ (@ tptp.member849814089n_game (@ (@ tptp.produc123610156n_game X) Y)) (@ (@ tptp.inf_in1391117306n_game R4) S))))) _let_14 _let_13 (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (F3 tptp.char)) (let ((_let_1 (@ tptp.const F3))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma2) (@ (@ tptp.produc1482344242le_trm U2) _let_1))) (= (@ (@ (@ tptp.uSubst516392818stappt Sigma2) U2) _let_1) (@ (@ (@ tptp.uSubst1559070963pconst Sigma2) U2) F3))))) (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (Theta2 tptp.trm) (Eta2 tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (let ((_let_2 (@ (@ tptp.times Theta2) Eta2))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma2) (@ (@ tptp.produc1482344242le_trm U2) _let_2))) (= (@ _let_1 _let_2) (@ (@ tptp.uSubst918876924Timeso (@ _let_1 Theta2)) (@ _let_1 Eta2))))))) (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (Theta2 tptp.trm) (Eta2 tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (let ((_let_2 (@ (@ tptp.plus Theta2) Eta2))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma2) (@ (@ tptp.produc1482344242le_trm U2) _let_2))) (= (@ _let_1 _let_2) (@ (@ tptp.uSubst141955042_Pluso (@ _let_1 Theta2)) (@ _let_1 Eta2))))))) (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (F3 tptp.char) (Theta2 tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (let ((_let_2 (@ (@ tptp.func F3) Theta2))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma2) (@ (@ tptp.produc1482344242le_trm U2) _let_2))) (= (@ _let_1 _let_2) (@ (@ (@ tptp.case_o487727941rm_trm tptp.none_trm) (lambda ((Sigma_theta2 tptp.trm)) (@ (@ (@ tptp.case_o487727941rm_trm (@ tptp.some_trm (@ (@ tptp.func F3) Sigma_theta2))) (lambda ((R tptp.trm)) (@ (@ (@ tptp.if_option_trm (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT R)) U2) tptp.bot_bot_set_variable)) (@ (@ (@ tptp.uSubst516392818stappt (@ tptp.uSubst1408967625substt Sigma_theta2)) tptp.bot_bot_set_variable) R)) tptp.none_trm))) (@ (@ (@ tptp.produc866613687on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((F4 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F4 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) F3)))) (@ _let_1 Theta2))))))) (forall ((X4 tptp.produc1699626005le_trm)) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (X2 tptp.variable)) (not (= X4 (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) (@ tptp.var X2)))))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (R3 tptp.real)) (not (= X4 (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) (@ tptp.number R3)))))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (F5 tptp.char)) (not (= X4 (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) (@ tptp.const F5)))))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (F5 tptp.char) (Theta tptp.trm)) (not (= X4 (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) (@ (@ tptp.func F5) Theta)))))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (Theta tptp.trm) (Eta tptp.trm)) (not (= X4 (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) (@ (@ tptp.plus Theta) Eta)))))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (Theta tptp.trm) (Eta tptp.trm)) (not (= X4 (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) (@ (@ tptp.times Theta) Eta)))))) (not (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (Theta tptp.trm)) (not (= X4 (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) (@ tptp.differential Theta)))))))))))))) (forall ((A0 tptp.produc1418842292n_game) (A1 tptp.set_variable) (A22 tptp.trm) (P (-> tptp.produc1418842292n_game tptp.set_variable tptp.trm Bool))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm A0) (@ (@ tptp.produc1482344242le_trm A1) A22))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (X2 tptp.variable)) (let ((_let_1 (@ tptp.var X2))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) _let_1))) (@ (@ (@ P Sigma3) U3) _let_1)))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (R3 tptp.real)) (let ((_let_1 (@ tptp.number R3))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) _let_1))) (@ (@ (@ P Sigma3) U3) _let_1)))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (F5 tptp.char)) (let ((_let_1 (@ tptp.const F5))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) _let_1))) (@ (@ (@ P Sigma3) U3) _let_1)))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (F5 tptp.char) (Theta tptp.trm)) (let ((_let_1 (@ (@ tptp.func F5) Theta))) (let ((_let_2 (@ (@ P Sigma3) U3))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) _let_1))) (=> (@ _let_2 Theta) (=> (forall ((X25 tptp.trm)) (=> (= (@ (@ (@ tptp.uSubst516392818stappt Sigma3) U3) Theta) (@ tptp.some_trm X25)) (forall ((X2a tptp.trm)) (=> (= (@ (@ (@ tptp.produc866613687on_trm (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1231571704on_trm (lambda ((F4 (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1036610745on_trm (lambda ((Uv (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ F4 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma3) F5) (@ tptp.some_trm X2a)) (=> (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVT X2a)) U3) tptp.bot_bot_set_variable) (@ (@ (@ P (@ tptp.uSubst1408967625substt X25)) tptp.bot_bot_set_variable) X2a)))))) (@ _let_2 _let_1))))))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (Theta tptp.trm) (Eta tptp.trm)) (let ((_let_1 (@ (@ tptp.plus Theta) Eta))) (let ((_let_2 (@ (@ P Sigma3) U3))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) _let_1))) (=> (@ _let_2 Theta) (=> (@ _let_2 Eta) (@ _let_2 _let_1))))))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (Theta tptp.trm) (Eta tptp.trm)) (let ((_let_1 (@ (@ tptp.times Theta) Eta))) (let ((_let_2 (@ (@ P Sigma3) U3))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) _let_1))) (=> (@ _let_2 Theta) (=> (@ _let_2 Eta) (@ _let_2 _let_1))))))) (=> (forall ((Sigma3 tptp.produc1418842292n_game) (U3 tptp.set_variable) (Theta tptp.trm)) (let ((_let_1 (@ tptp.differential Theta))) (let ((_let_2 (@ P Sigma3))) (=> (@ (@ tptp.accp_P1877119646le_trm tptp.uSubst1917534215pt_rel) (@ (@ tptp.produc2015636557le_trm Sigma3) (@ (@ tptp.produc1482344242le_trm U3) _let_1))) (=> (@ (@ _let_2 (@ tptp.collect_variable (lambda ((X tptp.variable)) true))) Theta) (@ (@ _let_2 U3) _let_1)))))) (@ (@ (@ P A0) A1) A22)))))))))) (forall ((X4 tptp.option_trm) (Xa tptp.option_trm) (Y2 tptp.option_fml)) (let ((_let_1 (not (= Y2 tptp.none_fml)))) (=> (= (@ (@ tptp.uSubst152838031e_Geqo X4) Xa) Y2) (=> (forall ((Theta tptp.trm)) (=> (= X4 (@ tptp.some_trm Theta)) (forall ((Eta tptp.trm)) (=> (= Xa (@ tptp.some_trm Eta)) (not (= Y2 (@ tptp.some_fml (@ (@ tptp.geq Theta) Eta)))))))) (=> (=> (= X4 tptp.none_trm) _let_1) (not (=> (exists ((V tptp.trm)) (= X4 (@ tptp.some_trm V))) (=> (= Xa tptp.none_trm) _let_1)))))))) (forall ((X21 tptp.trm) (X222 tptp.trm) (Y21 tptp.trm) (Y222 tptp.trm)) (= (= (@ (@ tptp.geq X21) X222) (@ (@ tptp.geq Y21) Y222)) (and (= X21 Y21) (= X222 Y222)))) (forall ((X4 tptp.produc1739631244on_fml)) (=> (forall ((Alpha tptp.game) (Phi tptp.fml)) (not (= X4 (@ (@ tptp.produc2124676926on_fml (@ tptp.some_game Alpha)) (@ tptp.some_fml Phi))))) (=> (forall ((Phi tptp.option_fml)) (not (= X4 (@ (@ tptp.produc2124676926on_fml tptp.none_game) Phi)))) (not (forall ((V tptp.game)) (not (= X4 (@ (@ tptp.produc2124676926on_fml (@ tptp.some_game V)) tptp.none_fml)))))))) (forall ((X4 tptp.produc1408538418on_fml)) (=> (forall ((X2 tptp.variable) (Phi tptp.fml)) (not (= X4 (@ (@ tptp.produc1205977188on_fml X2) (@ tptp.some_fml Phi))))) (not (forall ((X2 tptp.variable)) (not (= X4 (@ (@ tptp.produc1205977188on_fml X2) tptp.none_fml))))))) (forall ((X4 tptp.produc46605351on_fml)) (=> (forall ((Phi tptp.fml) (Psi tptp.fml)) (not (= X4 (@ (@ tptp.produc909629463on_fml (@ tptp.some_fml Phi)) (@ tptp.some_fml Psi))))) (=> (forall ((Psi tptp.option_fml)) (not (= X4 (@ (@ tptp.produc909629463on_fml tptp.none_fml) Psi)))) (not (forall ((V tptp.fml)) (not (= X4 (@ (@ tptp.produc909629463on_fml (@ tptp.some_fml V)) tptp.none_fml)))))))) (forall ((X4 tptp.produc464795408on_trm)) (=> (forall ((X2 tptp.char) (Theta tptp.trm)) (not (= X4 (@ (@ tptp.produc1500300866on_trm X2) (@ tptp.some_trm Theta))))) (not (forall ((X2 tptp.char)) (not (= X4 (@ (@ tptp.produc1500300866on_trm X2) tptp.none_trm))))))) (forall ((X4 tptp.produc1024976764on_trm)) (=> (forall ((X2 tptp.variable) (Theta tptp.trm)) (not (= X4 (@ (@ tptp.produc1743721902on_trm X2) (@ tptp.some_trm Theta))))) (not (forall ((X2 tptp.variable)) (not (= X4 (@ (@ tptp.produc1743721902on_trm X2) tptp.none_trm))))))) (forall ((X4 tptp.produc1072747943on_trm)) (=> (forall ((Theta tptp.trm) (Eta tptp.trm)) (not (= X4 (@ (@ tptp.produc709594775on_trm (@ tptp.some_trm Theta)) (@ tptp.some_trm Eta))))) (=> (forall ((Eta tptp.option_trm)) (not (= X4 (@ (@ tptp.produc709594775on_trm tptp.none_trm) Eta)))) (not (forall ((V tptp.trm)) (not (= X4 (@ (@ tptp.produc709594775on_trm (@ tptp.some_trm V)) tptp.none_trm)))))))) (forall ((Theta2 tptp.trm) (Eta2 tptp.trm)) (= (@ (@ tptp.uSubst152838031e_Geqo (@ tptp.some_trm Theta2)) (@ tptp.some_trm Eta2)) (@ tptp.some_fml (@ (@ tptp.geq Theta2) Eta2)))) (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (Theta2 tptp.trm) (Eta2 tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (let ((_let_2 (@ (@ (@ tptp.uSubst516392804stappf Sigma2) U2) (@ (@ tptp.geq Theta2) Eta2)))) (=> (not (= _let_2 tptp.none_fml)) (= _let_2 (@ tptp.some_fml (@ (@ tptp.geq (@ tptp.the_trm (@ _let_1 Theta2))) (@ tptp.the_trm (@ _let_1 Eta2))))))))) (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (Theta2 tptp.trm) (Eta2 tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (let ((_let_2 (@ _let_1 Eta2))) (let ((_let_3 (@ _let_1 Theta2))) (=> (not (= _let_3 tptp.none_trm)) (=> (not (= _let_2 tptp.none_trm)) (= (@ (@ (@ tptp.uSubst516392804stappf Sigma2) U2) (@ (@ tptp.geq Theta2) Eta2)) (@ tptp.some_fml (@ (@ tptp.geq (@ tptp.the_trm _let_3)) (@ tptp.the_trm _let_2)))))))))) (forall ((X4 tptp.produc1016592119n_game)) (=> (forall ((Alpha tptp.game) (Beta tptp.game)) (not (= X4 (@ (@ tptp.produc1111617711n_game (@ tptp.some_game Alpha)) (@ tptp.some_game Beta))))) (=> (forall ((Alpha tptp.option_game)) (not (= X4 (@ (@ tptp.produc1111617711n_game Alpha) tptp.none_game)))) (not (forall ((V tptp.game)) (not (= X4 (@ (@ tptp.produc1111617711n_game tptp.none_game) (@ tptp.some_game V))))))))) (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (Theta2 tptp.trm) (Eta2 tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (= (@ (@ (@ tptp.uSubst516392804stappf Sigma2) U2) (@ (@ tptp.geq Theta2) Eta2)) (@ (@ tptp.uSubst152838031e_Geqo (@ _let_1 Theta2)) (@ _let_1 Eta2))))) (forall ((Sigma2 tptp.produc1418842292n_game) (U2 tptp.set_variable) (Theta2 tptp.trm) (Eta2 tptp.trm)) (let ((_let_1 (@ (@ tptp.uSubst516392818stappt Sigma2) U2))) (=> (not (= (@ (@ (@ tptp.uSubst516392804stappf Sigma2) U2) (@ (@ tptp.geq Theta2) Eta2)) tptp.none_fml)) (and (not (= (@ _let_1 Theta2) tptp.none_trm)) (not (= (@ _let_1 Eta2) tptp.none_trm)))))) _let_12 (forall ((X4 tptp.option_trm) (Xa tptp.option_trm) (Y2 tptp.option_fml)) (let ((_let_1 (@ tptp.accp_P758790320on_trm tptp.uSubst1304144938qo_rel))) (=> (= (@ (@ tptp.uSubst152838031e_Geqo X4) Xa) Y2) (=> (@ _let_1 (@ (@ tptp.produc709594775on_trm X4) Xa)) (=> (forall ((Theta tptp.trm)) (=> (= X4 (@ tptp.some_trm Theta)) (forall ((Eta tptp.trm)) (let ((_let_1 (@ tptp.some_trm Eta))) (=> (= Xa _let_1) (=> (= Y2 (@ tptp.some_fml (@ (@ tptp.geq Theta) Eta))) (not (@ (@ tptp.accp_P758790320on_trm tptp.uSubst1304144938qo_rel) (@ (@ tptp.produc709594775on_trm (@ tptp.some_trm Theta)) _let_1))))))))) (=> (=> (= X4 tptp.none_trm) (=> (= Y2 tptp.none_fml) (not (@ _let_1 (@ (@ tptp.produc709594775on_trm tptp.none_trm) Xa))))) (not (forall ((V tptp.trm)) (let ((_let_1 (@ tptp.some_trm V))) (=> (= X4 _let_1) (=> (= Xa tptp.none_trm) (=> (= Y2 tptp.none_fml) (not (@ (@ tptp.accp_P758790320on_trm tptp.uSubst1304144938qo_rel) (@ (@ tptp.produc709594775on_trm _let_1) tptp.none_trm))))))))))))))) (forall ((X4 tptp.option_trm) (Xa tptp.option_trm) (Y2 tptp.option_trm)) (let ((_let_1 (@ tptp.accp_P758790320on_trm tptp.uSubst924844285so_rel))) (=> (= (@ (@ tptp.uSubst918876924Timeso X4) Xa) Y2) (=> (@ _let_1 (@ (@ tptp.produc709594775on_trm X4) Xa)) (=> (forall ((Theta tptp.trm)) (=> (= X4 (@ tptp.some_trm Theta)) (forall ((Eta tptp.trm)) (let ((_let_1 (@ tptp.some_trm Eta))) (=> (= Xa _let_1) (=> (= Y2 (@ tptp.some_trm (@ (@ tptp.times Theta) Eta))) (not (@ (@ tptp.accp_P758790320on_trm tptp.uSubst924844285so_rel) (@ (@ tptp.produc709594775on_trm (@ tptp.some_trm Theta)) _let_1))))))))) (=> (=> (= X4 tptp.none_trm) (=> (= Y2 tptp.none_trm) (not (@ _let_1 (@ (@ tptp.produc709594775on_trm tptp.none_trm) Xa))))) (not (forall ((V tptp.trm)) (let ((_let_1 (@ tptp.some_trm V))) (=> (= X4 _let_1) (=> (= Xa tptp.none_trm) (=> (= Y2 tptp.none_trm) (not (@ (@ tptp.accp_P758790320on_trm tptp.uSubst924844285so_rel) (@ (@ tptp.produc709594775on_trm _let_1) tptp.none_trm))))))))))))))) (forall ((X4 tptp.option_trm) (Xa tptp.option_trm) (Y2 tptp.option_trm)) (let ((_let_1 (@ tptp.accp_P758790320on_trm tptp.uSubst691094423so_rel))) (=> (= (@ (@ tptp.uSubst141955042_Pluso X4) Xa) Y2) (=> (@ _let_1 (@ (@ tptp.produc709594775on_trm X4) Xa)) (=> (forall ((Theta tptp.trm)) (=> (= X4 (@ tptp.some_trm Theta)) (forall ((Eta tptp.trm)) (let ((_let_1 (@ tptp.some_trm Eta))) (=> (= Xa _let_1) (=> (= Y2 (@ tptp.some_trm (@ (@ tptp.plus Theta) Eta))) (not (@ (@ tptp.accp_P758790320on_trm tptp.uSubst691094423so_rel) (@ (@ tptp.produc709594775on_trm (@ tptp.some_trm Theta)) _let_1))))))))) (=> (=> (= X4 tptp.none_trm) (=> (= Y2 tptp.none_trm) (not (@ _let_1 (@ (@ tptp.produc709594775on_trm tptp.none_trm) Xa))))) (not (forall ((V tptp.trm)) (let ((_let_1 (@ tptp.some_trm V))) (=> (= X4 _let_1) (=> (= Xa tptp.none_trm) (=> (= Y2 tptp.none_trm) (not (@ (@ tptp.accp_P758790320on_trm tptp.uSubst691094423so_rel) (@ (@ tptp.produc709594775on_trm _let_1) tptp.none_trm))))))))))))))) _let_11 (forall ((Sigma2 tptp.produc1418842292n_game) (P4 tptp.char) (R2 tptp.fml) (U2 tptp.set_variable) (Theta2 tptp.trm) (Sigma_theta tptp.trm)) (=> (= (@ (@ (@ tptp.produc1250175341on_fml (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1615133358on_fml (lambda ((Uv (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1420172399on_fml (lambda ((P3 (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ P3 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) P4) (@ tptp.some_fml R2)) (=> (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVF R2)) U2) tptp.bot_bot_set_variable) (=> (= (@ (@ (@ tptp.uSubst516392818stappt Sigma2) U2) Theta2) (@ tptp.some_trm Sigma_theta)) (= (@ (@ (@ tptp.uSubst516392804stappf Sigma2) U2) (@ (@ tptp.pred P4) Theta2)) (@ (@ (@ tptp.uSubst516392804stappf (@ tptp.uSubst1408967625substt Sigma_theta)) tptp.bot_bot_set_variable) R2)))))) (forall ((X11 tptp.char) (X122 tptp.trm) (Y11 tptp.char) (Y12 tptp.trm)) (= (= (@ (@ tptp.pred X11) X122) (@ (@ tptp.pred Y11) Y12)) (and (= X11 Y11) (= X122 Y12)))) (forall ((Sigma2 tptp.produc1418842292n_game) (P4 tptp.char) (R2 tptp.fml) (U2 tptp.set_variable) (Theta2 tptp.trm)) (=> (= (@ (@ (@ tptp.produc1250175341on_fml (lambda ((Uu (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc62062515n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1615133358on_fml (lambda ((Uv (-> tptp.char tptp.option_trm)) (__flatten_var_0 tptp.produc799602994n_game) (__flatten_var_1 tptp.char)) (@ (@ (@ tptp.produc1420172399on_fml (lambda ((P3 (-> tptp.char tptp.option_fml)) (Uw (-> tptp.char tptp.option_game)) (__flatten_var_0 tptp.char)) (@ P3 __flatten_var_0))) __flatten_var_0) __flatten_var_1))) __flatten_var_0) __flatten_var_1))) Sigma2) P4) (@ tptp.some_fml R2)) (=> (not (= (@ (@ tptp.inf_inf_set_variable (@ tptp.static_FVF R2)) U2) tptp.bot_bot_set_variable)) (= (@ (@ (@ tptp.uSubst516392804stappf Sigma2) U2) (@ (@ tptp.pred P4) Theta2)) tptp.none_fml)))) (forall ((P Bool)) (or (= P true) (= P false))) _let_10 _let_9 _let_8 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 3.14/3.40 )
% 3.14/3.40 % SZS output end Proof for ITP202^1
% 3.14/3.40 % cvc5---1.0.5 exiting
% 3.14/3.40 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------