TSTP Solution File: ITP186^1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ITP186^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n018.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 03:18:59 EDT 2023
% Result : Theorem 0.61s 1.27s
% Output : Proof 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.20 % Problem : ITP186^1 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.21 % Command : do_cvc5 %s %d
% 0.21/0.43 % Computer : n018.cluster.edu
% 0.21/0.43 % Model : x86_64 x86_64
% 0.21/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.43 % Memory : 8042.1875MB
% 0.21/0.43 % OS : Linux 3.10.0-693.el7.x86_64
% 0.21/0.43 % CPULimit : 300
% 0.21/0.43 % WCLimit : 300
% 0.21/0.43 % DateTime : Sun Aug 27 16:08:01 EDT 2023
% 0.21/0.43 % CPUTime :
% 0.29/0.64 %----Proving TH0
% 0.29/0.65 %------------------------------------------------------------------------------
% 0.29/0.65 % File : ITP186^1 : TPTP v8.1.2. Released v7.5.0.
% 0.29/0.65 % Domain : Interactive Theorem Proving
% 0.29/0.65 % Problem : Sledgehammer Strong_Late_Sim_SC problem prob_570__3414234_1
% 0.29/0.65 % Version : Especial.
% 0.29/0.65 % English :
% 0.29/0.65
% 0.29/0.65 % Refs : [BH+15] Blanchette et al. (2015), Mining the Archive of Formal
% 0.29/0.65 % : [Des21] Desharnais (2021), Email to Geoff Sutcliffe
% 0.29/0.65 % Source : [Des21]
% 0.29/0.65 % Names : Strong_Late_Sim_SC/prob_570__3414234_1 [Des21]
% 0.29/0.65
% 0.29/0.65 % Status : Theorem
% 0.29/0.65 % Rating : 0.23 v8.1.0, 0.27 v7.5.0
% 0.29/0.65 % Syntax : Number of formulae : 500 ( 188 unt; 147 typ; 0 def)
% 0.29/0.65 % Number of atoms : 1166 ( 353 equ; 0 cnn)
% 0.29/0.65 % Maximal formula atoms : 16 ( 3 avg)
% 0.29/0.65 % Number of connectives : 5562 ( 179 ~; 22 |; 43 &;4369 @)
% 0.29/0.65 % ( 0 <=>; 949 =>; 0 <=; 0 <~>)
% 0.29/0.65 % Maximal formula depth : 36 ( 10 avg)
% 0.29/0.65 % Number of types : 17 ( 16 usr)
% 0.29/0.65 % Number of type conns : 1188 (1188 >; 0 *; 0 +; 0 <<)
% 0.29/0.65 % Number of symbols : 134 ( 131 usr; 15 con; 0-12 aty)
% 0.29/0.65 % Number of variables : 2021 ( 59 ^;1940 !; 22 ?;2021 :)
% 0.29/0.65 % SPC : TH0_THM_EQU_NAR
% 0.29/0.65
% 0.29/0.65 % Comments : This file was generated by Sledgehammer 2021-02-23 15:31:37.047
% 0.29/0.65 %------------------------------------------------------------------------------
% 0.29/0.65 % Could-be-implicit typings (16)
% 0.29/0.65 thf(ty_n_t__Nominal__Onoption_I_062_It__Late____Semantics__OfreeRes_M_062_It__Agent__Opi_M_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_J_J_J,type,
% 0.29/0.65 noptio751120898ion_pi: $tType ).
% 0.29/0.65
% 0.29/0.65 thf(ty_n_t__Nominal__Onoption_I_062_It__Agent__Oname_Mt__Nominal__Onoption_I_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_J_J_J,type,
% 0.29/0.65 noptio2087446135ion_pi: $tType ).
% 0.29/0.65
% 0.29/0.65 thf(ty_n_t__Nominal__Onoption_I_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Late____Semantics__Osubject_J_J_J,type,
% 0.29/0.65 noptio570777408ubject: $tType ).
% 0.29/0.65
% 0.29/0.65 thf(ty_n_t__Nominal__Onoption_I_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Late____Semantics__OfreeRes_J_J_J,type,
% 0.29/0.65 noptio435234344reeRes: $tType ).
% 0.29/0.65
% 0.29/0.65 thf(ty_n_t__Nominal__Onoption_I_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Oname_J_J_J,type,
% 0.29/0.65 noptio1926134715n_name: $tType ).
% 0.29/0.65
% 0.29/0.65 thf(ty_n_t__Nominal__Onoption_I_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_J,type,
% 0.29/0.65 noptio354675977ion_pi: $tType ).
% 0.29/0.65
% 0.29/0.65 thf(ty_n_t__Nominal__Onoption_It__Late____Semantics__Osubject_J,type,
% 0.29/0.65 noption_Late_subject: $tType ).
% 0.29/0.65
% 0.29/0.65 thf(ty_n_t__Nominal__Onoption_It__Late____Semantics__OfreeRes_J,type,
% 0.29/0.65 noption_Late_freeRes: $tType ).
% 0.29/0.65
% 0.29/0.65 thf(ty_n_t__Nominal__Onoption_It__Agent__Oname_J,type,
% 0.29/0.65 noption_name: $tType ).
% 0.29/0.65
% 0.29/0.65 thf(ty_n_t__Nominal__Onoption_It__Agent__Opi_J,type,
% 0.29/0.65 noption_pi: $tType ).
% 0.29/0.65
% 0.29/0.65 thf(ty_n_t__Set__Oset_It__Agent__Oname_J,type,
% 0.29/0.65 set_name: $tType ).
% 0.29/0.65
% 0.29/0.65 thf(ty_n_t__Late____Semantics__Oresidual,type,
% 0.29/0.65 late_residual: $tType ).
% 0.29/0.65
% 0.29/0.65 thf(ty_n_t__Late____Semantics__Osubject,type,
% 0.29/0.65 late_subject: $tType ).
% 0.29/0.65
% 0.29/0.65 thf(ty_n_t__Late____Semantics__OfreeRes,type,
% 0.29/0.65 late_freeRes: $tType ).
% 0.29/0.65
% 0.29/0.65 thf(ty_n_t__Agent__Oname,type,
% 0.29/0.65 name: $tType ).
% 0.29/0.65
% 0.29/0.65 thf(ty_n_t__Agent__Opi,type,
% 0.29/0.65 pi: $tType ).
% 0.29/0.65
% 0.29/0.65 % Explicit typings (131)
% 0.29/0.65 thf(sy_c_Agent_Opi_OBang,type,
% 0.29/0.65 bang: pi > pi ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Agent_Opi_OInput,type,
% 0.29/0.65 input: name > name > pi > pi ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Agent_Opi_OMatch,type,
% 0.29/0.65 match: name > name > pi > pi ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Agent_Opi_OMismatch,type,
% 0.29/0.65 mismatch: name > name > pi > pi ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Agent_Opi_OOutput,type,
% 0.29/0.65 output: name > name > pi > pi ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Agent_Opi_OPar,type,
% 0.29/0.65 par: pi > pi > pi ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Agent_Opi_OPiNil,type,
% 0.29/0.65 piNil: pi ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Agent_Opi_ORes,type,
% 0.29/0.65 res: name > pi > pi ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Agent_Opi_OSum,type,
% 0.29/0.65 sum: pi > pi > pi ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Agent_Opi_OTau,type,
% 0.29/0.65 tau: pi > pi ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Agent_Opi_Opi__rec_001t__Agent__Opi,type,
% 0.29/0.65 pi_rec_pi: pi > ( name > name > pi > pi > pi ) > ( pi > pi > pi ) > ( name > name > pi > pi > pi ) > ( name > name > pi > pi > pi ) > ( name > name > pi > pi > pi ) > ( pi > pi > pi > pi > pi ) > ( pi > pi > pi > pi > pi ) > ( name > pi > pi > pi ) > ( pi > pi > pi ) > pi > pi ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Agent_Opi_Opi__rec__set_001_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J,type,
% 0.29/0.65 pi_rec802206470ion_pi: ( name > noption_pi ) > ( name > name > pi > ( name > noption_pi ) > name > noption_pi ) > ( pi > ( name > noption_pi ) > name > noption_pi ) > ( name > name > pi > ( name > noption_pi ) > name > noption_pi ) > ( name > name > pi > ( name > noption_pi ) > name > noption_pi ) > ( name > name > pi > ( name > noption_pi ) > name > noption_pi ) > ( pi > pi > ( name > noption_pi ) > ( name > noption_pi ) > name > noption_pi ) > ( pi > pi > ( name > noption_pi ) > ( name > noption_pi ) > name > noption_pi ) > ( name > pi > ( name > noption_pi ) > name > noption_pi ) > ( pi > ( name > noption_pi ) > name > noption_pi ) > pi > ( name > noption_pi ) > $o ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Agent_Opi_Opi__rec__set_001t__Agent__Oname,type,
% 0.29/0.65 pi_rec_set_name: name > ( name > name > pi > name > name ) > ( pi > name > name ) > ( name > name > pi > name > name ) > ( name > name > pi > name > name ) > ( name > name > pi > name > name ) > ( pi > pi > name > name > name ) > ( pi > pi > name > name > name ) > ( name > pi > name > name ) > ( pi > name > name ) > pi > name > $o ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Agent_Opi_Opi__rec__set_001t__Agent__Opi,type,
% 0.29/0.65 pi_rec_set_pi: pi > ( name > name > pi > pi > pi ) > ( pi > pi > pi ) > ( name > name > pi > pi > pi ) > ( name > name > pi > pi > pi ) > ( name > name > pi > pi > pi ) > ( pi > pi > pi > pi > pi ) > ( pi > pi > pi > pi > pi ) > ( name > pi > pi > pi ) > ( pi > pi > pi ) > pi > pi > $o ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Agent_Opi_Opi__rec__set_001t__Late____Semantics__OfreeRes,type,
% 0.29/0.65 pi_rec1156860983reeRes: late_freeRes > ( name > name > pi > late_freeRes > late_freeRes ) > ( pi > late_freeRes > late_freeRes ) > ( name > name > pi > late_freeRes > late_freeRes ) > ( name > name > pi > late_freeRes > late_freeRes ) > ( name > name > pi > late_freeRes > late_freeRes ) > ( pi > pi > late_freeRes > late_freeRes > late_freeRes ) > ( pi > pi > late_freeRes > late_freeRes > late_freeRes ) > ( name > pi > late_freeRes > late_freeRes ) > ( pi > late_freeRes > late_freeRes ) > pi > late_freeRes > $o ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Agent_Opi_Opi__rec__set_001t__Late____Semantics__Osubject,type,
% 0.29/0.65 pi_rec232630607ubject: late_subject > ( name > name > pi > late_subject > late_subject ) > ( pi > late_subject > late_subject ) > ( name > name > pi > late_subject > late_subject ) > ( name > name > pi > late_subject > late_subject ) > ( name > name > pi > late_subject > late_subject ) > ( pi > pi > late_subject > late_subject > late_subject ) > ( pi > pi > late_subject > late_subject > late_subject ) > ( name > pi > late_subject > late_subject ) > ( pi > late_subject > late_subject ) > pi > late_subject > $o ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Agent_Osubs,type,
% 0.29/0.65 subs: pi > name > name > pi ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Agent_Osubst__name,type,
% 0.29/0.65 subst_name: name > name > name > name ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Finite__Set_Ofinite_001t__Agent__Oname,type,
% 0.29/0.65 finite_finite_name: set_name > $o ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_If_001t__Agent__Oname,type,
% 0.29/0.65 if_name: $o > name > name > name ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Late__Semantics_ObangPred,type,
% 0.29/0.65 late_bangPred: pi > pi > $o ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Late__Semantics_OfreeRes_OOutputR,type,
% 0.29/0.65 late_OutputR: name > name > late_freeRes ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Late__Semantics_OfreeRes_OTauR,type,
% 0.29/0.65 late_TauR: late_freeRes ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Late__Semantics_Oresidual_OBoundR,type,
% 0.29/0.65 late_BoundR: late_subject > name > pi > late_residual ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Late__Semantics_Oresidual_OFreeR,type,
% 0.29/0.65 late_FreeR: late_freeRes > pi > late_residual ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Late__Semantics_Oresidual_Oresidual__rec_001t__Agent__Oname,type,
% 0.29/0.65 late_r1174711868c_name: ( late_subject > name > pi > name ) > ( late_freeRes > pi > name ) > late_residual > name ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Late__Semantics_Oresidual_Oresidual__rec_001t__Agent__Opi,type,
% 0.29/0.65 late_residual_rec_pi: ( late_subject > name > pi > pi ) > ( late_freeRes > pi > pi ) > late_residual > pi ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Late__Semantics_Oresidual_Oresidual__rec_001t__Late____Semantics__OfreeRes,type,
% 0.29/0.65 late_r124702629reeRes: ( late_subject > name > pi > late_freeRes ) > ( late_freeRes > pi > late_freeRes ) > late_residual > late_freeRes ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Late__Semantics_Oresidual_Oresidual__rec_001t__Late____Semantics__Osubject,type,
% 0.29/0.65 late_r1347955901ubject: ( late_subject > name > pi > late_subject ) > ( late_freeRes > pi > late_subject ) > late_residual > late_subject ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Late__Semantics_Oresidual_Oresidual__rec__set_001_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J,type,
% 0.29/0.65 late_r750878080ion_pi: ( late_subject > name > pi > name > noption_pi ) > ( late_freeRes > pi > name > noption_pi ) > late_residual > ( name > noption_pi ) > $o ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Late__Semantics_Oresidual_Oresidual__rec__set_001t__Agent__Oname,type,
% 0.29/0.65 late_r1742481968t_name: ( late_subject > name > pi > name ) > ( late_freeRes > pi > name ) > late_residual > name > $o ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Late__Semantics_Oresidual_Oresidual__rec__set_001t__Agent__Opi,type,
% 0.29/0.65 late_r1261898622set_pi: ( late_subject > name > pi > pi ) > ( late_freeRes > pi > pi ) > late_residual > pi > $o ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Late__Semantics_Oresidual_Oresidual__rec__set_001t__Late____Semantics__OfreeRes,type,
% 0.29/0.65 late_r1613948593reeRes: ( late_subject > name > pi > late_freeRes ) > ( late_freeRes > pi > late_freeRes ) > late_residual > late_freeRes > $o ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Late__Semantics_Oresidual_Oresidual__rec__set_001t__Late____Semantics__Osubject,type,
% 0.29/0.65 late_r689718217ubject: ( late_subject > name > pi > late_subject ) > ( late_freeRes > pi > late_subject ) > late_residual > late_subject > $o ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Late__Semantics_Osubject_OBoundOutputS,type,
% 0.29/0.65 late_BoundOutputS: name > late_subject ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Late__Semantics_Osubject_OInputS,type,
% 0.29/0.65 late_InputS: name > late_subject ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Late__Semantics_Otransitions,type,
% 0.29/0.65 late_transitions: pi > late_residual > $o ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Agent__Oname_J,type,
% 0.29/0.65 sup_sup_set_name: set_name > set_name > set_name ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Nominal_Oabs__fun_001t__Agent__Oname_001_062_It__Agent__Oname_Mt__Nominal__Onoption_I_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_J_J,type,
% 0.29/0.65 abs_fu446471607ion_pi: name > ( name > noptio354675977ion_pi ) > name > noptio2087446135ion_pi ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Nominal_Oabs__fun_001t__Agent__Oname_001_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Oname_J_J,type,
% 0.29/0.65 abs_fu1394407909n_name: name > ( name > noption_name ) > name > noptio1926134715n_name ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Nominal_Oabs__fun_001t__Agent__Oname_001_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J,type,
% 0.29/0.65 abs_fu1614711987ion_pi: name > ( name > noption_pi ) > name > noptio354675977ion_pi ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Nominal_Oabs__fun_001t__Agent__Oname_001_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Late____Semantics__OfreeRes_J_J,type,
% 0.29/0.65 abs_fu1763130856reeRes: name > ( name > noption_Late_freeRes ) > name > noptio435234344reeRes ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Nominal_Oabs__fun_001t__Agent__Oname_001_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Late____Semantics__Osubject_J_J,type,
% 0.29/0.65 abs_fu1705804544ubject: name > ( name > noption_Late_subject ) > name > noptio570777408ubject ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Nominal_Oabs__fun_001t__Agent__Oname_001_062_It__Late____Semantics__OfreeRes_M_062_It__Agent__Opi_M_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_J_J,type,
% 0.29/0.65 abs_fu1682643010ion_pi: name > ( late_freeRes > pi > name > noption_pi ) > name > noptio751120898ion_pi ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Nominal_Oabs__fun_001t__Agent__Oname_001t__Agent__Oname,type,
% 0.29/0.65 abs_fun_name_name: name > name > name > noption_name ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Nominal_Oabs__fun_001t__Agent__Oname_001t__Agent__Opi,type,
% 0.29/0.65 abs_fun_name_pi: name > pi > name > noption_pi ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Nominal_Oabs__fun_001t__Agent__Oname_001t__Late____Semantics__OfreeRes,type,
% 0.29/0.65 abs_fu681348580reeRes: name > late_freeRes > name > noption_Late_freeRes ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Nominal_Oabs__fun_001t__Agent__Oname_001t__Late____Semantics__Osubject,type,
% 0.29/0.65 abs_fu1904601852ubject: name > late_subject > name > noption_Late_subject ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001_062_It__Agent__Oname_Mt__Nominal__Onoption_I_062_It__Agent__Oname_Mt__Nominal__Onoption_I_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_J_J_J_J,type,
% 0.29/0.65 fresh_1575363742ion_pi: name > ( name > noptio2087446135ion_pi ) > $o ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001_062_It__Agent__Oname_Mt__Nominal__Onoption_I_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Oname_J_J_J_J,type,
% 0.29/0.65 fresh_1742414570n_name: name > ( name > noptio1926134715n_name ) > $o ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001_062_It__Agent__Oname_Mt__Nominal__Onoption_I_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Agent__Opi_J_J_J_J,type,
% 0.29/0.65 fresh_92802872ion_pi: name > ( name > noptio354675977ion_pi ) > $o ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001_062_It__Agent__Oname_Mt__Nominal__Onoption_I_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Late____Semantics__OfreeRes_J_J_J_J,type,
% 0.29/0.65 fresh_1215331279reeRes: name > ( name > noptio435234344reeRes ) > $o ).
% 0.29/0.65
% 0.29/0.65 thf(sy_c_Nominal_Ofresh_001t__Agent__Oname_001_062_It__Agent__Oname_Mt__Nominal__Onoption_I_062_It__Agent__Oname_Mt__Nominal__Onoption_It__Late____Semantics__Osubject_J_J_J_J,type,
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% 0.29/0.65 member_name: name > set_name > $o ).
% 0.29/0.65
% 0.29/0.65 thf(sy_v_P,type,
% 0.29/0.65 p: pi ).
% 0.29/0.65
% 0.29/0.65 thf(sy_v_PQR____,type,
% 0.29/0.65 pqr: pi ).
% 0.29/0.65
% 0.29/0.65 thf(sy_v_P_H____,type,
% 0.29/0.65 p2: pi ).
% 0.29/0.65
% 0.29/0.65 thf(sy_v_Q,type,
% 0.29/0.65 q: pi ).
% 0.29/0.65
% 0.29/0.65 thf(sy_v_QR____,type,
% 0.29/0.65 qr: pi ).
% 0.29/0.65
% 0.29/0.65 thf(sy_v_Q_H____,type,
% 0.29/0.65 q2: pi ).
% 0.29/0.65
% 0.29/0.65 thf(sy_v_R,type,
% 0.29/0.65 r: pi ).
% 0.29/0.65
% 0.29/0.65 thf(sy_v__092_060alpha_062____,type,
% 0.29/0.65 alpha: late_freeRes ).
% 0.29/0.65
% 0.29/0.65 thf(sy_v_a____,type,
% 0.29/0.65 a: name ).
% 0.29/0.65
% 0.29/0.65 thf(sy_v_b____,type,
% 0.29/0.65 b: name ).
% 0.29/0.65
% 0.29/0.65 thf(sy_v_x____,type,
% 0.29/0.65 x: name ).
% 0.29/0.65
% 0.29/0.65 % Relevant facts (349)
% 0.29/0.65 thf(fact_0_cComm2_Ohyps_I9_J,axiom,
% 0.29/0.65 alpha = late_TauR ).
% 0.29/0.65
% 0.29/0.65 % cComm2.hyps(9)
% 0.29/0.65 thf(fact_1_cComm2_Ohyps_I5_J,axiom,
% 0.29/0.65 x != a ).
% 0.29/0.65
% 0.29/0.65 % cComm2.hyps(5)
% 0.29/0.65 thf(fact_2_cComm2_Ohyps_I6_J,axiom,
% 0.29/0.65 x != b ).
% 0.29/0.65
% 0.29/0.65 % cComm2.hyps(6)
% 0.29/0.65 thf(fact_3__092_060open_062P_A_092_060parallel_062_AQ_A_092_060longmapsto_062_A_092_060tau_062_A_092_060prec_062_AP_H_A_092_060parallel_062_AQ_H_091x_058_058_061b_093_092_060close_062,axiom,
% 0.29/0.65 late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ late_TauR @ ( par @ p2 @ ( subs @ q2 @ x @ b ) ) ) ).
% 0.29/0.65
% 0.29/0.65 % \<open>P \<parallel> Q \<longmapsto> \<tau> \<prec> P' \<parallel> Q'[x::=b]\<close>
% 0.29/0.65 thf(fact_4_Free_Ohyps,axiom,
% 0.29/0.65 late_transitions @ ( par @ p @ ( par @ q @ r ) ) @ ( late_FreeR @ alpha @ pqr ) ).
% 0.29/0.65
% 0.29/0.65 % Free.hyps
% 0.29/0.65 thf(fact_5_cComm2_Ohyps_I8_J,axiom,
% 0.29/0.65 fresh_name_pi @ x @ q ).
% 0.29/0.65
% 0.29/0.65 % cComm2.hyps(8)
% 0.29/0.65 thf(fact_6_cComm2_Ohyps_I3_J,axiom,
% 0.29/0.65 fresh_name_pi @ x @ p ).
% 0.29/0.65
% 0.29/0.65 % cComm2.hyps(3)
% 0.29/0.65 thf(fact_7_cComm2_Ohyps_I7_J,axiom,
% 0.29/0.65 fresh_name_pi @ x @ p2 ).
% 0.29/0.65
% 0.29/0.65 % cComm2.hyps(7)
% 0.29/0.65 thf(fact_8_cComm2_Ohyps_I4_J,axiom,
% 0.29/0.65 fresh_name_pi @ x @ ( par @ q @ r ) ).
% 0.29/0.65
% 0.29/0.65 % cComm2.hyps(4)
% 0.29/0.65 thf(fact_9_cComm2_Ohyps_I1_J,axiom,
% 0.29/0.65 late_transitions @ p @ ( late_FreeR @ ( late_OutputR @ a @ b ) @ p2 ) ).
% 0.29/0.65
% 0.29/0.65 % cComm2.hyps(1)
% 0.29/0.65 thf(fact_10_simps_I8_J,axiom,
% 0.29/0.65 ! [P: pi,Q: pi,C: name,D: name] :
% 0.29/0.65 ( ( subs @ ( par @ P @ Q ) @ C @ D )
% 0.29/0.65 = ( par @ ( subs @ P @ C @ D ) @ ( subs @ Q @ C @ D ) ) ) ).
% 0.29/0.65
% 0.29/0.65 % simps(8)
% 0.29/0.65 thf(fact_11_Par1F,axiom,
% 0.29/0.65 ! [P: pi,Alpha: late_freeRes,P2: pi,Q: pi] :
% 0.29/0.65 ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
% 0.29/0.65 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P2 @ Q ) ) ) ) ).
% 0.29/0.65
% 0.29/0.65 % Par1F
% 0.29/0.65 thf(fact_12_Par2F,axiom,
% 0.29/0.65 ! [Q: pi,Alpha: late_freeRes,Q2: pi,P: pi] :
% 0.29/0.65 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
% 0.29/0.65 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P @ Q2 ) ) ) ) ).
% 0.29/0.65
% 0.29/0.65 % Par2F
% 0.29/0.65 thf(fact_13__092_060open_062x_A_092_060sharp_062_AR_092_060close_062,axiom,
% 0.29/0.65 fresh_name_pi @ x @ r ).
% 0.29/0.65
% 0.29/0.65 % \<open>x \<sharp> R\<close>
% 0.29/0.65 thf(fact_14_subst__identity,axiom,
% 0.29/0.65 ! [P: pi,A: name] :
% 0.29/0.65 ( ( subs @ P @ A @ A )
% 0.29/0.65 = P ) ).
% 0.29/0.65
% 0.29/0.65 % subst_identity
% 0.29/0.65 thf(fact_15_cPar1_Ohyps,axiom,
% 0.29/0.65 late_transitions @ q @ ( late_BoundR @ ( late_InputS @ a ) @ x @ q2 ) ).
% 0.29/0.65
% 0.29/0.65 % cPar1.hyps
% 0.29/0.65 thf(fact_16_cComm2_Ohyps_I2_J,axiom,
% 0.29/0.65 late_transitions @ ( par @ q @ r ) @ ( late_BoundR @ ( late_InputS @ a ) @ x @ qr ) ).
% 0.29/0.65
% 0.29/0.65 % cComm2.hyps(2)
% 0.29/0.65 thf(fact_17_residual_Oinject_I2_J,axiom,
% 0.29/0.65 ! [X2: late_freeRes,X1: pi,Y2: late_freeRes,Y1: pi] :
% 0.29/0.65 ( ( ( late_FreeR @ X2 @ X1 )
% 0.29/0.65 = ( late_FreeR @ Y2 @ Y1 ) )
% 0.29/0.65 = ( ( X2 = Y2 )
% 0.29/0.65 & ( X1 = Y1 ) ) ) ).
% 0.29/0.65
% 0.29/0.65 % residual.inject(2)
% 0.29/0.65 thf(fact_18_pi_Oinject_I7_J,axiom,
% 0.29/0.65 ! [X2: pi,X1: pi,Y2: pi,Y1: pi] :
% 0.29/0.65 ( ( ( par @ X2 @ X1 )
% 0.29/0.65 = ( par @ Y2 @ Y1 ) )
% 0.29/0.65 = ( ( X2 = Y2 )
% 0.29/0.65 & ( X1 = Y1 ) ) ) ).
% 0.29/0.65
% 0.29/0.65 % pi.inject(7)
% 0.29/0.65 thf(fact_19_tauCases,axiom,
% 0.29/0.65 ! [P: pi,Alpha: late_freeRes,P2: pi,Prop: late_freeRes > pi > $o] :
% 0.29/0.65 ( ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ Alpha @ P2 ) )
% 0.29/0.65 => ( ( ( Alpha = late_TauR )
% 0.29/0.65 => ( ( P = P2 )
% 0.29/0.65 => ( Prop @ late_TauR @ P ) ) )
% 0.29/0.65 => ( Prop @ Alpha @ P2 ) ) ) ).
% 0.29/0.65
% 0.29/0.65 % tauCases
% 0.29/0.65 thf(fact_20_tauCases_H,axiom,
% 0.29/0.65 ! [P: pi,Rs: late_residual] :
% 0.29/0.65 ( ( late_transitions @ ( tau @ P ) @ Rs )
% 0.29/0.65 => ~ ! [P3: pi] :
% 0.29/0.65 ( ( ( tau @ P )
% 0.29/0.65 = ( tau @ P3 ) )
% 0.29/0.65 => ( Rs
% 0.29/0.65 != ( late_FreeR @ late_TauR @ P3 ) ) ) ) ).
% 0.29/0.65
% 0.29/0.65 % tauCases'
% 0.29/0.65 thf(fact_21_Late__Semantics_OfreeRes_Oinject,axiom,
% 0.29/0.65 ! [X2: name,X1: name,Y2: name,Y1: name] :
% 0.29/0.65 ( ( ( late_OutputR @ X2 @ X1 )
% 0.29/0.65 = ( late_OutputR @ Y2 @ Y1 ) )
% 0.29/0.65 = ( ( X2 = Y2 )
% 0.29/0.65 & ( X1 = Y1 ) ) ) ).
% 0.29/0.65
% 0.29/0.65 % Late_Semantics.freeRes.inject
% 0.29/0.65 thf(fact_22_pi_Ofresh_I8_J,axiom,
% 0.29/0.65 ! [A: name,X2: pi,X1: pi] :
% 0.29/0.65 ( ( fresh_name_pi @ A @ ( par @ X2 @ X1 ) )
% 0.29/0.65 = ( ( fresh_name_pi @ A @ X2 )
% 0.29/0.65 & ( fresh_name_pi @ A @ X1 ) ) ) ).
% 0.29/0.65
% 0.29/0.65 % pi.fresh(8)
% 0.29/0.65 thf(fact_23_substTrans,axiom,
% 0.29/0.65 ! [B: name,P: pi,A: name,C: name] :
% 0.29/0.65 ( ( fresh_name_pi @ B @ P )
% 0.29/0.65 => ( ( subs @ ( subs @ P @ A @ B ) @ B @ C )
% 0.29/0.65 = ( subs @ P @ A @ C ) ) ) ).
% 0.29/0.65
% 0.29/0.65 % substTrans
% 0.29/0.65 thf(fact_24_pi_Ofresh_I3_J,axiom,
% 0.29/0.65 ! [A: name,X1: pi] :
% 0.29/0.65 ( ( fresh_name_pi @ A @ ( tau @ X1 ) )
% 0.29/0.65 = ( fresh_name_pi @ A @ X1 ) ) ).
% 0.29/0.65
% 0.29/0.65 % pi.fresh(3)
% 0.29/0.65 thf(fact_25_simps_I2_J,axiom,
% 0.29/0.65 ! [P: pi,C: name,D: name] :
% 0.29/0.65 ( ( subs @ ( tau @ P ) @ C @ D )
% 0.29/0.65 = ( tau @ ( subs @ P @ C @ D ) ) ) ).
% 0.29/0.65
% 0.29/0.65 % simps(2)
% 0.29/0.65 thf(fact_26_pi_Oinject_I2_J,axiom,
% 0.29/0.65 ! [X1: pi,Y1: pi] :
% 0.29/0.65 ( ( ( tau @ X1 )
% 0.29/0.65 = ( tau @ Y1 ) )
% 0.29/0.65 = ( X1 = Y1 ) ) ).
% 0.29/0.65
% 0.29/0.65 % pi.inject(2)
% 0.29/0.65 thf(fact_27_freshBoundDerivative_I2_J,axiom,
% 0.29/0.65 ! [P: pi,A: late_subject,X: name,P2: pi,Y: name] :
% 0.29/0.65 ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P2 ) )
% 0.29/0.65 => ( ( fresh_name_pi @ Y @ P )
% 0.29/0.65 => ( ( Y != X )
% 0.29/0.65 => ( fresh_name_pi @ Y @ P2 ) ) ) ) ).
% 0.29/0.65
% 0.29/0.65 % freshBoundDerivative(2)
% 0.29/0.65 thf(fact_28_name__exists__fresh,axiom,
% 0.29/0.65 ! [X: late_subject] :
% 0.29/0.65 ~ ! [C2: name] :
% 0.29/0.65 ~ ( fresh_717452603ubject @ C2 @ X ) ).
% 0.29/0.65
% 0.29/0.65 % name_exists_fresh
% 0.29/0.65 thf(fact_29_name__exists__fresh,axiom,
% 0.29/0.65 ! [X: late_freeRes] :
% 0.29/0.65 ~ ! [C2: name] :
% 0.29/0.65 ~ ( fresh_1641682979reeRes @ C2 @ X ) ).
% 0.29/0.65
% 0.29/0.65 % name_exists_fresh
% 0.29/0.65 thf(fact_30_name__exists__fresh,axiom,
% 0.29/0.65 ! [X: name] :
% 0.29/0.65 ~ ! [C2: name] :
% 0.29/0.65 ~ ( fresh_name_name @ C2 @ X ) ).
% 0.29/0.65
% 0.29/0.65 % name_exists_fresh
% 0.29/0.65 thf(fact_31_name__exists__fresh,axiom,
% 0.29/0.65 ! [X: pi] :
% 0.29/0.65 ~ ! [C2: name] :
% 0.29/0.65 ~ ( fresh_name_pi @ C2 @ X ) ).
% 0.29/0.65
% 0.29/0.65 % name_exists_fresh
% 0.29/0.65 thf(fact_32_tauBoundTrans,axiom,
% 0.29/0.65 ! [P: pi,A: late_subject,X: name,P2: pi] :
% 0.29/0.65 ~ ( late_transitions @ ( tau @ P ) @ ( late_BoundR @ A @ X @ P2 ) ) ).
% 0.29/0.65
% 0.29/0.65 % tauBoundTrans
% 0.29/0.65 thf(fact_33_residual_Ostrong__induct,axiom,
% 0.29/0.65 ! [P: late_subject > late_residual > $o,Z: late_subject,Residual: late_residual] :
% 0.29/0.65 ( ! [Subject: late_subject,Name: name,Pi: pi,Z2: late_subject] :
% 0.29/0.65 ( ( fresh_717452603ubject @ Name @ Z2 )
% 0.29/0.65 => ( ( fresh_717452603ubject @ Name @ Subject )
% 0.29/0.65 => ( P @ Z2 @ ( late_BoundR @ Subject @ Name @ Pi ) ) ) )
% 0.29/0.65 => ( ! [FreeRes: late_freeRes,Pi: pi,Z2: late_subject] : ( P @ Z2 @ ( late_FreeR @ FreeRes @ Pi ) )
% 0.29/0.65 => ( P @ Z @ Residual ) ) ) ).
% 0.29/0.65
% 0.29/0.65 % residual.strong_induct
% 0.29/0.65 thf(fact_34_residual_Ostrong__induct,axiom,
% 0.29/0.65 ! [P: late_freeRes > late_residual > $o,Z: late_freeRes,Residual: late_residual] :
% 0.29/0.65 ( ! [Subject: late_subject,Name: name,Pi: pi,Z2: late_freeRes] :
% 0.29/0.65 ( ( fresh_1641682979reeRes @ Name @ Z2 )
% 0.29/0.65 => ( ( fresh_717452603ubject @ Name @ Subject )
% 0.29/0.65 => ( P @ Z2 @ ( late_BoundR @ Subject @ Name @ Pi ) ) ) )
% 0.29/0.65 => ( ! [FreeRes: late_freeRes,Pi: pi,Z2: late_freeRes] : ( P @ Z2 @ ( late_FreeR @ FreeRes @ Pi ) )
% 0.29/0.65 => ( P @ Z @ Residual ) ) ) ).
% 0.29/0.65
% 0.29/0.65 % residual.strong_induct
% 0.29/0.65 thf(fact_35_residual_Ostrong__induct,axiom,
% 0.29/0.65 ! [P: name > late_residual > $o,Z: name,Residual: late_residual] :
% 0.29/0.65 ( ! [Subject: late_subject,Name: name,Pi: pi,Z2: name] :
% 0.29/0.65 ( ( fresh_name_name @ Name @ Z2 )
% 0.29/0.65 => ( ( fresh_717452603ubject @ Name @ Subject )
% 0.29/0.65 => ( P @ Z2 @ ( late_BoundR @ Subject @ Name @ Pi ) ) ) )
% 0.29/0.65 => ( ! [FreeRes: late_freeRes,Pi: pi,Z2: name] : ( P @ Z2 @ ( late_FreeR @ FreeRes @ Pi ) )
% 0.29/0.65 => ( P @ Z @ Residual ) ) ) ).
% 0.29/0.65
% 0.29/0.65 % residual.strong_induct
% 0.29/0.65 thf(fact_36_residual_Ostrong__induct,axiom,
% 0.29/0.65 ! [P: pi > late_residual > $o,Z: pi,Residual: late_residual] :
% 0.29/0.65 ( ! [Subject: late_subject,Name: name,Pi: pi,Z2: pi] :
% 0.29/0.65 ( ( fresh_name_pi @ Name @ Z2 )
% 0.29/0.65 => ( ( fresh_717452603ubject @ Name @ Subject )
% 0.29/0.65 => ( P @ Z2 @ ( late_BoundR @ Subject @ Name @ Pi ) ) ) )
% 0.29/0.65 => ( ! [FreeRes: late_freeRes,Pi: pi,Z2: pi] : ( P @ Z2 @ ( late_FreeR @ FreeRes @ Pi ) )
% 0.29/0.65 => ( P @ Z @ Residual ) ) ) ).
% 0.29/0.65
% 0.29/0.65 % residual.strong_induct
% 0.29/0.65 thf(fact_37_residual_Ostrong__inducts,axiom,
% 0.29/0.65 ! [P: late_subject > late_residual > $o,Z: late_subject,Residual: late_residual] :
% 0.29/0.65 ( ! [Subject: late_subject,Name: name,Pi: pi,Z2: late_subject] :
% 0.29/0.65 ( ( fresh_717452603ubject @ Name @ Z2 )
% 0.29/0.65 => ( ( fresh_717452603ubject @ Name @ Subject )
% 0.29/0.65 => ( P @ Z2 @ ( late_BoundR @ Subject @ Name @ Pi ) ) ) )
% 0.29/0.65 => ( ! [FreeRes: late_freeRes,Pi: pi,Z2: late_subject] : ( P @ Z2 @ ( late_FreeR @ FreeRes @ Pi ) )
% 0.29/0.65 => ( P @ Z @ Residual ) ) ) ).
% 0.29/0.65
% 0.29/0.65 % residual.strong_inducts
% 0.29/0.65 thf(fact_38_residual_Ostrong__inducts,axiom,
% 0.29/0.65 ! [P: late_freeRes > late_residual > $o,Z: late_freeRes,Residual: late_residual] :
% 0.29/0.65 ( ! [Subject: late_subject,Name: name,Pi: pi,Z2: late_freeRes] :
% 0.29/0.65 ( ( fresh_1641682979reeRes @ Name @ Z2 )
% 0.29/0.65 => ( ( fresh_717452603ubject @ Name @ Subject )
% 0.29/0.65 => ( P @ Z2 @ ( late_BoundR @ Subject @ Name @ Pi ) ) ) )
% 0.29/0.65 => ( ! [FreeRes: late_freeRes,Pi: pi,Z2: late_freeRes] : ( P @ Z2 @ ( late_FreeR @ FreeRes @ Pi ) )
% 0.29/0.65 => ( P @ Z @ Residual ) ) ) ).
% 0.29/0.65
% 0.29/0.65 % residual.strong_inducts
% 0.29/0.65 thf(fact_39_residual_Ostrong__inducts,axiom,
% 0.29/0.65 ! [P: name > late_residual > $o,Z: name,Residual: late_residual] :
% 0.29/0.65 ( ! [Subject: late_subject,Name: name,Pi: pi,Z2: name] :
% 0.29/0.65 ( ( fresh_name_name @ Name @ Z2 )
% 0.29/0.65 => ( ( fresh_717452603ubject @ Name @ Subject )
% 0.29/0.65 => ( P @ Z2 @ ( late_BoundR @ Subject @ Name @ Pi ) ) ) )
% 0.29/0.65 => ( ! [FreeRes: late_freeRes,Pi: pi,Z2: name] : ( P @ Z2 @ ( late_FreeR @ FreeRes @ Pi ) )
% 0.29/0.65 => ( P @ Z @ Residual ) ) ) ).
% 0.29/0.65
% 0.29/0.65 % residual.strong_inducts
% 0.29/0.65 thf(fact_40_residual_Ostrong__inducts,axiom,
% 0.29/0.65 ! [P: pi > late_residual > $o,Z: pi,Residual: late_residual] :
% 0.29/0.65 ( ! [Subject: late_subject,Name: name,Pi: pi,Z2: pi] :
% 0.29/0.65 ( ( fresh_name_pi @ Name @ Z2 )
% 0.29/0.65 => ( ( fresh_717452603ubject @ Name @ Subject )
% 0.29/0.65 => ( P @ Z2 @ ( late_BoundR @ Subject @ Name @ Pi ) ) ) )
% 0.29/0.65 => ( ! [FreeRes: late_freeRes,Pi: pi,Z2: pi] : ( P @ Z2 @ ( late_FreeR @ FreeRes @ Pi ) )
% 0.29/0.65 => ( P @ Z @ Residual ) ) ) ).
% 0.29/0.65
% 0.29/0.65 % residual.strong_inducts
% 0.29/0.65 thf(fact_41_residual_Oinducts,axiom,
% 0.29/0.65 ! [P: late_residual > $o,Residual: late_residual] :
% 0.29/0.65 ( ! [Subject: late_subject,Name: name,Pi: pi] : ( P @ ( late_BoundR @ Subject @ Name @ Pi ) )
% 0.29/0.65 => ( ! [FreeRes: late_freeRes,Pi: pi] : ( P @ ( late_FreeR @ FreeRes @ Pi ) )
% 0.29/0.65 => ( P @ Residual ) ) ) ).
% 0.29/0.65
% 0.29/0.65 % residual.inducts
% 0.29/0.65 thf(fact_42_residual_Odistinct_I1_J,axiom,
% 0.29/0.65 ! [Subject2: late_subject,Name2: name,Pi2: pi,FreeRes2: late_freeRes,Pi3: pi] :
% 0.29/0.65 ( ( late_BoundR @ Subject2 @ Name2 @ Pi2 )
% 0.29/0.65 != ( late_FreeR @ FreeRes2 @ Pi3 ) ) ).
% 0.29/0.65
% 0.29/0.65 % residual.distinct(1)
% 0.29/0.65 thf(fact_43_fresh__fact2,axiom,
% 0.29/0.65 ! [A: name,B: name,P: pi] :
% 0.29/0.65 ( ( A != B )
% 0.29/0.65 => ( fresh_name_pi @ A @ ( subs @ P @ A @ B ) ) ) ).
% 0.29/0.65
% 0.29/0.65 % fresh_fact2
% 0.29/0.65 thf(fact_44_fresh__fact1,axiom,
% 0.29/0.65 ! [A: name,P: pi,C: name,B: name] :
% 0.29/0.65 ( ( fresh_name_pi @ A @ P )
% 0.29/0.65 => ( ( A != C )
% 0.29/0.65 => ( fresh_name_pi @ A @ ( subs @ P @ B @ C ) ) ) ) ).
% 0.29/0.65
% 0.29/0.65 % fresh_fact1
% 0.29/0.65 thf(fact_45_forget,axiom,
% 0.29/0.65 ! [A: name,P: pi,B: name] :
% 0.29/0.65 ( ( fresh_name_pi @ A @ P )
% 0.29/0.65 => ( ( subs @ P @ A @ B )
% 0.29/0.65 = P ) ) ).
% 0.29/0.65
% 0.29/0.65 % forget
% 0.29/0.65 thf(fact_46_parCasesB,axiom,
% 0.29/0.65 ! [P: pi,Q: pi,A: late_subject,X: name,PQ: pi,Prop: pi > $o] :
% 0.29/0.65 ( ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ PQ ) )
% 0.29/0.65 => ( ( fresh_name_pi @ X @ P )
% 0.29/0.65 => ( ( fresh_name_pi @ X @ Q )
% 0.29/0.65 => ( ! [P4: pi] :
% 0.29/0.65 ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P4 ) )
% 0.29/0.65 => ( Prop @ ( par @ P4 @ Q ) ) )
% 0.29/0.65 => ( ! [Q3: pi] :
% 0.29/0.65 ( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q3 ) )
% 0.29/0.65 => ( Prop @ ( par @ P @ Q3 ) ) )
% 0.29/0.65 => ( Prop @ PQ ) ) ) ) ) ) ).
% 0.29/0.65
% 0.29/0.65 % parCasesB
% 0.29/0.65 thf(fact_47_Late__Semantics_OPar2B,axiom,
% 0.29/0.65 ! [Q: pi,A: late_subject,X: name,Q2: pi,P: pi] :
% 0.29/0.66 ( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q2 ) )
% 0.29/0.66 => ( ( fresh_name_pi @ X @ P )
% 0.29/0.66 => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P @ Q2 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % Late_Semantics.Par2B
% 0.29/0.66 thf(fact_48_Late__Semantics_OPar1B,axiom,
% 0.29/0.66 ! [P: pi,A: late_subject,X: name,P2: pi,Q: pi] :
% 0.29/0.66 ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P2 ) )
% 0.29/0.66 => ( ( fresh_name_pi @ X @ Q )
% 0.29/0.66 => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P2 @ Q ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % Late_Semantics.Par1B
% 0.29/0.66 thf(fact_49_pi_Odistinct_I43_J,axiom,
% 0.29/0.66 ! [Pi2: pi,Pi1: pi,Pi22: pi] :
% 0.29/0.66 ( ( tau @ Pi2 )
% 0.29/0.66 != ( par @ Pi1 @ Pi22 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(43)
% 0.29/0.66 thf(fact_50_freeRes_Oinducts,axiom,
% 0.29/0.66 ! [P: late_freeRes > $o,FreeRes3: late_freeRes] :
% 0.29/0.66 ( ! [Name1: name,Name22: name] : ( P @ ( late_OutputR @ Name1 @ Name22 ) )
% 0.29/0.66 => ( ( P @ late_TauR )
% 0.29/0.66 => ( P @ FreeRes3 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % freeRes.inducts
% 0.29/0.66 thf(fact_51_Late__Semantics_OfreeRes_Odistinct_I1_J,axiom,
% 0.29/0.66 ! [Name12: name,Name23: name] :
% 0.29/0.66 ( ( late_OutputR @ Name12 @ Name23 )
% 0.29/0.66 != late_TauR ) ).
% 0.29/0.66
% 0.29/0.66 % Late_Semantics.freeRes.distinct(1)
% 0.29/0.66 thf(fact_52_mem__Collect__eq,axiom,
% 0.29/0.66 ! [A: name,P: name > $o] :
% 0.29/0.66 ( ( member_name @ A @ ( collect_name @ P ) )
% 0.29/0.66 = ( P @ A ) ) ).
% 0.29/0.66
% 0.29/0.66 % mem_Collect_eq
% 0.29/0.66 thf(fact_53_Collect__mem__eq,axiom,
% 0.29/0.66 ! [A2: set_name] :
% 0.29/0.66 ( ( collect_name
% 0.29/0.66 @ ^ [X3: name] : ( member_name @ X3 @ A2 ) )
% 0.29/0.66 = A2 ) ).
% 0.29/0.66
% 0.29/0.66 % Collect_mem_eq
% 0.29/0.66 thf(fact_54_Collect__cong,axiom,
% 0.29/0.66 ! [P: name > $o,Q: name > $o] :
% 0.29/0.66 ( ! [X4: name] :
% 0.29/0.66 ( ( P @ X4 )
% 0.29/0.66 = ( Q @ X4 ) )
% 0.29/0.66 => ( ( collect_name @ P )
% 0.29/0.66 = ( collect_name @ Q ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % Collect_cong
% 0.29/0.66 thf(fact_55_tauOutputTrans,axiom,
% 0.29/0.66 ! [P: pi,A: name,B: name,P2: pi] :
% 0.29/0.66 ~ ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ P2 ) ) ).
% 0.29/0.66
% 0.29/0.66 % tauOutputTrans
% 0.29/0.66 thf(fact_56_transitions_OComm2,axiom,
% 0.29/0.66 ! [P: pi,A: name,B: name,P2: pi,Q: pi,X: name,Q2: pi] :
% 0.29/0.66 ( ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ P2 ) )
% 0.29/0.66 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
% 0.29/0.66 => ( ( fresh_name_pi @ X @ P )
% 0.29/0.66 => ( ( fresh_name_pi @ X @ Q )
% 0.29/0.66 => ( ( X != A )
% 0.29/0.66 => ( ( X != B )
% 0.29/0.66 => ( ( fresh_name_pi @ X @ P2 )
% 0.29/0.66 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ P2 @ ( subs @ Q2 @ X @ B ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % transitions.Comm2
% 0.29/0.66 thf(fact_57_transitions_OComm1,axiom,
% 0.29/0.66 ! [P: pi,A: name,X: name,P2: pi,Q: pi,B: name,Q2: pi] :
% 0.29/0.66 ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P2 ) )
% 0.29/0.66 => ( ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ Q2 ) )
% 0.29/0.66 => ( ( fresh_name_pi @ X @ P )
% 0.29/0.66 => ( ( fresh_name_pi @ X @ Q )
% 0.29/0.66 => ( ( X != A )
% 0.29/0.66 => ( ( X != B )
% 0.29/0.66 => ( ( fresh_name_pi @ X @ Q2 )
% 0.29/0.66 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ P2 @ X @ B ) @ Q2 ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % transitions.Comm1
% 0.29/0.66 thf(fact_58_freshFreeDerivative_I2_J,axiom,
% 0.29/0.66 ! [P: pi,Alpha: late_freeRes,P2: pi,Y: name] :
% 0.29/0.66 ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
% 0.29/0.66 => ( ( fresh_name_pi @ Y @ P )
% 0.29/0.66 => ( fresh_name_pi @ Y @ P2 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % freshFreeDerivative(2)
% 0.29/0.66 thf(fact_59_Late__Semantics_OComm2,axiom,
% 0.29/0.66 ! [P: pi,A: name,B: name,P2: pi,Q: pi,X: name,Q2: pi] :
% 0.29/0.66 ( ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ P2 ) )
% 0.29/0.66 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
% 0.29/0.66 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ P2 @ ( subs @ Q2 @ X @ B ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % Late_Semantics.Comm2
% 0.29/0.66 thf(fact_60_Late__Semantics_OComm1,axiom,
% 0.29/0.66 ! [P: pi,A: name,X: name,P2: pi,Q: pi,B: name,Q2: pi] :
% 0.29/0.66 ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P2 ) )
% 0.29/0.66 => ( ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ Q2 ) )
% 0.29/0.66 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ P2 @ X @ B ) @ Q2 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % Late_Semantics.Comm1
% 0.29/0.66 thf(fact_61_Tau,axiom,
% 0.29/0.66 ! [P: pi] : ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ late_TauR @ P ) ) ).
% 0.29/0.66
% 0.29/0.66 % Tau
% 0.29/0.66 thf(fact_62_Late__Semantics1_Osubject_Oinject_I1_J,axiom,
% 0.29/0.66 ! [X1: name,Y1: name] :
% 0.29/0.66 ( ( ( late_InputS @ X1 )
% 0.29/0.66 = ( late_InputS @ Y1 ) )
% 0.29/0.66 = ( X1 = Y1 ) ) ).
% 0.29/0.66
% 0.29/0.66 % Late_Semantics1.subject.inject(1)
% 0.29/0.66 thf(fact_63_Late__Semantics1_OfreeRes_Oinject,axiom,
% 0.29/0.66 ! [X11: name,X12: name,Y11: name,Y12: name] :
% 0.29/0.66 ( ( ( late_OutputR @ X11 @ X12 )
% 0.29/0.66 = ( late_OutputR @ Y11 @ Y12 ) )
% 0.29/0.66 = ( ( X11 = Y11 )
% 0.29/0.66 & ( X12 = Y12 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % Late_Semantics1.freeRes.inject
% 0.29/0.66 thf(fact_64_freeRes_Oexhaust,axiom,
% 0.29/0.66 ! [Y: late_freeRes] :
% 0.29/0.66 ( ! [X112: name,X122: name] :
% 0.29/0.66 ( Y
% 0.29/0.66 != ( late_OutputR @ X112 @ X122 ) )
% 0.29/0.66 => ( Y = late_TauR ) ) ).
% 0.29/0.66
% 0.29/0.66 % freeRes.exhaust
% 0.29/0.66 thf(fact_65_Late__Semantics1_OfreeRes_Odistinct_I1_J,axiom,
% 0.29/0.66 ! [X11: name,X12: name] :
% 0.29/0.66 ( ( late_OutputR @ X11 @ X12 )
% 0.29/0.66 != late_TauR ) ).
% 0.29/0.66
% 0.29/0.66 % Late_Semantics1.freeRes.distinct(1)
% 0.29/0.66 thf(fact_66_transitions_OClose2,axiom,
% 0.29/0.66 ! [P: pi,A: name,Y: name,P2: pi,Q: pi,X: name,Q2: pi] :
% 0.29/0.66 ( ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ P2 ) )
% 0.29/0.66 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
% 0.29/0.66 => ( ( fresh_name_pi @ X @ P )
% 0.29/0.66 => ( ( fresh_name_pi @ X @ Q )
% 0.29/0.66 => ( ( fresh_name_pi @ Y @ P )
% 0.29/0.66 => ( ( fresh_name_pi @ Y @ Q )
% 0.29/0.66 => ( ( X != A )
% 0.29/0.66 => ( ( fresh_name_pi @ X @ P2 )
% 0.29/0.66 => ( ( Y != A )
% 0.29/0.66 => ( ( fresh_name_pi @ Y @ Q2 )
% 0.29/0.66 => ( ( X != Y )
% 0.29/0.66 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ P2 @ ( subs @ Q2 @ X @ Y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % transitions.Close2
% 0.29/0.66 thf(fact_67_transitions_OClose1,axiom,
% 0.29/0.66 ! [P: pi,A: name,X: name,P2: pi,Q: pi,Y: name,Q2: pi] :
% 0.29/0.66 ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P2 ) )
% 0.29/0.66 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ Q2 ) )
% 0.29/0.66 => ( ( fresh_name_pi @ X @ P )
% 0.29/0.66 => ( ( fresh_name_pi @ X @ Q )
% 0.29/0.66 => ( ( fresh_name_pi @ Y @ P )
% 0.29/0.66 => ( ( fresh_name_pi @ Y @ Q )
% 0.29/0.66 => ( ( X != A )
% 0.29/0.66 => ( ( fresh_name_pi @ X @ Q2 )
% 0.29/0.66 => ( ( Y != A )
% 0.29/0.66 => ( ( fresh_name_pi @ Y @ P2 )
% 0.29/0.66 => ( ( X != Y )
% 0.29/0.66 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ ( subs @ P2 @ X @ Y ) @ Q2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % transitions.Close1
% 0.29/0.66 thf(fact_68_Late__Semantics_OClose2,axiom,
% 0.29/0.66 ! [P: pi,A: name,Y: name,P2: pi,Q: pi,X: name,Q2: pi] :
% 0.29/0.66 ( ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ P2 ) )
% 0.29/0.66 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A ) @ X @ Q2 ) )
% 0.29/0.66 => ( ( fresh_name_pi @ Y @ Q )
% 0.29/0.66 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ P2 @ ( subs @ Q2 @ X @ Y ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % Late_Semantics.Close2
% 0.29/0.66 thf(fact_69_freeRes_Ofresh_I1_J,axiom,
% 0.29/0.66 ! [A: name,X2: name,X1: name] :
% 0.29/0.66 ( ( fresh_1641682979reeRes @ A @ ( late_OutputR @ X2 @ X1 ) )
% 0.29/0.66 = ( ( fresh_name_name @ A @ X2 )
% 0.29/0.66 & ( fresh_name_name @ A @ X1 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % freeRes.fresh(1)
% 0.29/0.66 thf(fact_70_Late__Semantics_Osubject_Oinject_I2_J,axiom,
% 0.29/0.66 ! [X1: name,Y1: name] :
% 0.29/0.66 ( ( ( late_BoundOutputS @ X1 )
% 0.29/0.66 = ( late_BoundOutputS @ Y1 ) )
% 0.29/0.66 = ( X1 = Y1 ) ) ).
% 0.29/0.66
% 0.29/0.66 % Late_Semantics.subject.inject(2)
% 0.29/0.66 thf(fact_71_Late__Semantics1_Osubject_Oinject_I2_J,axiom,
% 0.29/0.66 ! [X2: name,Y2: name] :
% 0.29/0.66 ( ( ( late_BoundOutputS @ X2 )
% 0.29/0.66 = ( late_BoundOutputS @ Y2 ) )
% 0.29/0.66 = ( X2 = Y2 ) ) ).
% 0.29/0.66
% 0.29/0.66 % Late_Semantics1.subject.inject(2)
% 0.29/0.66 thf(fact_72_freeRes_Ofresh_I2_J,axiom,
% 0.29/0.66 ! [A: name] : ( fresh_1641682979reeRes @ A @ late_TauR ) ).
% 0.29/0.66
% 0.29/0.66 % freeRes.fresh(2)
% 0.29/0.66 thf(fact_73_residual_Ofresh_I2_J,axiom,
% 0.29/0.66 ! [A: name,X2: late_freeRes,X1: pi] :
% 0.29/0.66 ( ( fresh_81631222sidual @ A @ ( late_FreeR @ X2 @ X1 ) )
% 0.29/0.66 = ( ( fresh_1641682979reeRes @ A @ X2 )
% 0.29/0.66 & ( fresh_name_pi @ A @ X1 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.fresh(2)
% 0.29/0.66 thf(fact_74_simps_I9_J,axiom,
% 0.29/0.66 ! [X: name,C: name,D: name,P: pi] :
% 0.29/0.66 ( ( X != C )
% 0.29/0.66 => ( ( X != D )
% 0.29/0.66 => ( ( subs @ ( res @ X @ P ) @ C @ D )
% 0.29/0.66 = ( res @ X @ ( subs @ P @ C @ D ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % simps(9)
% 0.29/0.66 thf(fact_75_subject_Ofresh_I1_J,axiom,
% 0.29/0.66 ! [A: name,X1: name] :
% 0.29/0.66 ( ( fresh_717452603ubject @ A @ ( late_InputS @ X1 ) )
% 0.29/0.66 = ( fresh_name_name @ A @ X1 ) ) ).
% 0.29/0.66
% 0.29/0.66 % subject.fresh(1)
% 0.29/0.66 thf(fact_76_subject_Ofresh_I2_J,axiom,
% 0.29/0.66 ! [A: name,X1: name] :
% 0.29/0.66 ( ( fresh_717452603ubject @ A @ ( late_BoundOutputS @ X1 ) )
% 0.29/0.66 = ( fresh_name_name @ A @ X1 ) ) ).
% 0.29/0.66
% 0.29/0.66 % subject.fresh(2)
% 0.29/0.66 thf(fact_77_subject_Oexhaust,axiom,
% 0.29/0.66 ! [Y: late_subject] :
% 0.29/0.66 ( ! [X13: name] :
% 0.29/0.66 ( Y
% 0.29/0.66 != ( late_InputS @ X13 ) )
% 0.29/0.66 => ~ ! [X22: name] :
% 0.29/0.66 ( Y
% 0.29/0.66 != ( late_BoundOutputS @ X22 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % subject.exhaust
% 0.29/0.66 thf(fact_78_Late__Semantics1_Osubject_Odistinct_I1_J,axiom,
% 0.29/0.66 ! [X1: name,X2: name] :
% 0.29/0.66 ( ( late_InputS @ X1 )
% 0.29/0.66 != ( late_BoundOutputS @ X2 ) ) ).
% 0.29/0.66
% 0.29/0.66 % Late_Semantics1.subject.distinct(1)
% 0.29/0.66 thf(fact_79_Late__Semantics_OResB,axiom,
% 0.29/0.66 ! [P: pi,A: late_subject,X: name,P2: pi,Y: name] :
% 0.29/0.66 ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P2 ) )
% 0.29/0.66 => ( ( fresh_717452603ubject @ Y @ A )
% 0.29/0.66 => ( ( Y != X )
% 0.29/0.66 => ( late_transitions @ ( res @ Y @ P ) @ ( late_BoundR @ A @ X @ ( res @ Y @ P2 ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % Late_Semantics.ResB
% 0.29/0.66 thf(fact_80_resCasesF,axiom,
% 0.29/0.66 ! [X: name,P: pi,Alpha: late_freeRes,XP: pi,F: pi > $o] :
% 0.29/0.66 ( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ XP ) )
% 0.29/0.66 => ( ! [P4: pi] :
% 0.29/0.66 ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P4 ) )
% 0.29/0.66 => ( ( fresh_1641682979reeRes @ X @ Alpha )
% 0.29/0.66 => ( F @ ( res @ X @ P4 ) ) ) )
% 0.29/0.66 => ( F @ XP ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % resCasesF
% 0.29/0.66 thf(fact_81_resCasesF_H,axiom,
% 0.29/0.66 ! [X: name,P: pi,Alpha: late_freeRes,P2: pi] :
% 0.29/0.66 ( ( late_transitions @ ( res @ X @ P ) @ ( late_FreeR @ Alpha @ P2 ) )
% 0.29/0.66 => ~ ! [P3: pi,Alpha2: late_freeRes,P4: pi,Y3: name] :
% 0.29/0.66 ( ( ( res @ X @ P )
% 0.29/0.66 = ( res @ Y3 @ P3 ) )
% 0.29/0.66 => ( ( ( late_FreeR @ Alpha @ P2 )
% 0.29/0.66 = ( late_FreeR @ Alpha2 @ ( res @ Y3 @ P4 ) ) )
% 0.29/0.66 => ( ( late_transitions @ P3 @ ( late_FreeR @ Alpha2 @ P4 ) )
% 0.29/0.66 => ~ ( fresh_1641682979reeRes @ Y3 @ Alpha2 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % resCasesF'
% 0.29/0.66 thf(fact_82_ResF,axiom,
% 0.29/0.66 ! [P: pi,Alpha: late_freeRes,P2: pi,Y: name] :
% 0.29/0.66 ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
% 0.29/0.66 => ( ( fresh_1641682979reeRes @ Y @ Alpha )
% 0.29/0.66 => ( late_transitions @ ( res @ Y @ P ) @ ( late_FreeR @ Alpha @ ( res @ Y @ P2 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % ResF
% 0.29/0.66 thf(fact_83_pi_Odistinct_I85_J,axiom,
% 0.29/0.66 ! [Pi12: pi,Pi23: pi,Name3: name,Pi3: pi] :
% 0.29/0.66 ( ( par @ Pi12 @ Pi23 )
% 0.29/0.66 != ( res @ Name3 @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(85)
% 0.29/0.66 thf(fact_84_freshRes,axiom,
% 0.29/0.66 ! [A: name,P: pi] : ( fresh_name_pi @ A @ ( res @ A @ P ) ) ).
% 0.29/0.66
% 0.29/0.66 % freshRes
% 0.29/0.66 thf(fact_85_pi_Odistinct_I45_J,axiom,
% 0.29/0.66 ! [Pi2: pi,Name3: name,Pi3: pi] :
% 0.29/0.66 ( ( tau @ Pi2 )
% 0.29/0.66 != ( res @ Name3 @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(45)
% 0.29/0.66 thf(fact_86_resCases_H,axiom,
% 0.29/0.66 ! [X: name,P: pi,Rs: late_residual] :
% 0.29/0.66 ( ( late_transitions @ ( res @ X @ P ) @ Rs )
% 0.29/0.66 => ( ! [P3: pi,A3: name,B2: name] :
% 0.29/0.66 ( ( ( res @ X @ P )
% 0.29/0.66 = ( res @ B2 @ P3 ) )
% 0.29/0.66 => ! [P4: pi] :
% 0.29/0.66 ( ( Rs
% 0.29/0.66 = ( late_BoundR @ ( late_BoundOutputS @ A3 ) @ B2 @ P4 ) )
% 0.29/0.66 => ( ( late_transitions @ P3 @ ( late_FreeR @ ( late_OutputR @ A3 @ B2 ) @ P4 ) )
% 0.29/0.66 => ( A3 = B2 ) ) ) )
% 0.29/0.66 => ( ! [P3: pi,A3: late_subject,X4: name,P4: pi,Y3: name] :
% 0.29/0.66 ( ( ( res @ X @ P )
% 0.29/0.66 = ( res @ Y3 @ P3 ) )
% 0.29/0.66 => ( ( Rs
% 0.29/0.66 = ( late_BoundR @ A3 @ X4 @ ( res @ Y3 @ P4 ) ) )
% 0.29/0.66 => ( ( late_transitions @ P3 @ ( late_BoundR @ A3 @ X4 @ P4 ) )
% 0.29/0.66 => ( ( fresh_717452603ubject @ Y3 @ A3 )
% 0.29/0.66 => ( ( Y3 != X4 )
% 0.29/0.66 => ( ( fresh_name_pi @ X4 @ P3 )
% 0.29/0.66 => ~ ( fresh_717452603ubject @ X4 @ A3 ) ) ) ) ) ) )
% 0.29/0.66 => ~ ! [P3: pi,Alpha2: late_freeRes,P4: pi,Y3: name] :
% 0.29/0.66 ( ( ( res @ X @ P )
% 0.29/0.66 = ( res @ Y3 @ P3 ) )
% 0.29/0.66 => ( ( Rs
% 0.29/0.66 = ( late_FreeR @ Alpha2 @ ( res @ Y3 @ P4 ) ) )
% 0.29/0.66 => ( ( late_transitions @ P3 @ ( late_FreeR @ Alpha2 @ P4 ) )
% 0.29/0.66 => ~ ( fresh_1641682979reeRes @ Y3 @ Alpha2 ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % resCases'
% 0.29/0.66 thf(fact_87_transitions_OResB,axiom,
% 0.29/0.66 ! [P: pi,A: late_subject,X: name,P2: pi,Y: name] :
% 0.29/0.66 ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P2 ) )
% 0.29/0.66 => ( ( fresh_717452603ubject @ Y @ A )
% 0.29/0.66 => ( ( Y != X )
% 0.29/0.66 => ( ( fresh_name_pi @ X @ P )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X @ A )
% 0.29/0.66 => ( late_transitions @ ( res @ Y @ P ) @ ( late_BoundR @ A @ X @ ( res @ Y @ P2 ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % transitions.ResB
% 0.29/0.66 thf(fact_88_subject_Oinducts,axiom,
% 0.29/0.66 ! [P: late_subject > $o,Subject2: late_subject] :
% 0.29/0.66 ( ! [Name: name] : ( P @ ( late_InputS @ Name ) )
% 0.29/0.66 => ( ! [Name: name] : ( P @ ( late_BoundOutputS @ Name ) )
% 0.29/0.66 => ( P @ Subject2 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % subject.inducts
% 0.29/0.66 thf(fact_89_Late__Semantics_Osubject_Odistinct_I1_J,axiom,
% 0.29/0.66 ! [Name2: name,Name3: name] :
% 0.29/0.66 ( ( late_InputS @ Name2 )
% 0.29/0.66 != ( late_BoundOutputS @ Name3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % Late_Semantics.subject.distinct(1)
% 0.29/0.66 thf(fact_90_resCasesB_H,axiom,
% 0.29/0.66 ! [X5: name,P: pi,A: late_subject,Y4: name,P2: pi] :
% 0.29/0.66 ( ( late_transitions @ ( res @ X5 @ P ) @ ( late_BoundR @ A @ Y4 @ P2 ) )
% 0.29/0.66 => ( ! [P3: pi,A3: name,B2: name] :
% 0.29/0.66 ( ( ( res @ X5 @ P )
% 0.29/0.66 = ( res @ B2 @ P3 ) )
% 0.29/0.66 => ! [P4: pi] :
% 0.29/0.66 ( ( ( late_BoundR @ A @ Y4 @ P2 )
% 0.29/0.66 = ( late_BoundR @ ( late_BoundOutputS @ A3 ) @ B2 @ P4 ) )
% 0.29/0.66 => ( ( late_transitions @ P3 @ ( late_FreeR @ ( late_OutputR @ A3 @ B2 ) @ P4 ) )
% 0.29/0.66 => ( A3 = B2 ) ) ) )
% 0.29/0.66 => ~ ! [P3: pi,A3: late_subject,X4: name,P4: pi,Y3: name] :
% 0.29/0.66 ( ( ( res @ X5 @ P )
% 0.29/0.66 = ( res @ Y3 @ P3 ) )
% 0.29/0.66 => ( ( ( late_BoundR @ A @ Y4 @ P2 )
% 0.29/0.66 = ( late_BoundR @ A3 @ X4 @ ( res @ Y3 @ P4 ) ) )
% 0.29/0.66 => ( ( late_transitions @ P3 @ ( late_BoundR @ A3 @ X4 @ P4 ) )
% 0.29/0.66 => ( ( fresh_717452603ubject @ Y3 @ A3 )
% 0.29/0.66 => ( ( Y3 != X4 )
% 0.29/0.66 => ( ( fresh_name_pi @ X4 @ P3 )
% 0.29/0.66 => ~ ( fresh_717452603ubject @ X4 @ A3 ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % resCasesB'
% 0.29/0.66 thf(fact_91_freshResidual,axiom,
% 0.29/0.66 ! [P: pi,Rs: late_residual,X: name] :
% 0.29/0.66 ( ( late_transitions @ P @ Rs )
% 0.29/0.66 => ( ( fresh_name_pi @ X @ P )
% 0.29/0.66 => ( fresh_81631222sidual @ X @ Rs ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % freshResidual
% 0.29/0.66 thf(fact_92_substRes3,axiom,
% 0.29/0.66 ! [B: name,P: pi,A: name] :
% 0.29/0.66 ( ( fresh_name_pi @ B @ P )
% 0.29/0.66 => ( ( subs @ ( res @ A @ P ) @ A @ B )
% 0.29/0.66 = ( res @ B @ ( subs @ P @ A @ B ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substRes3
% 0.29/0.66 thf(fact_93_substRes2,axiom,
% 0.29/0.66 ! [B: name,P: pi,A: name] :
% 0.29/0.66 ( ( fresh_name_pi @ B @ P )
% 0.29/0.66 => ( ( res @ A @ P )
% 0.29/0.66 = ( res @ B @ ( subs @ P @ A @ B ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substRes2
% 0.29/0.66 thf(fact_94_Open,axiom,
% 0.29/0.66 ! [P: pi,A: name,B: name,P2: pi] :
% 0.29/0.66 ( ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ P2 ) )
% 0.29/0.66 => ( ( A != B )
% 0.29/0.66 => ( late_transitions @ ( res @ B @ P ) @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ B @ P2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % Open
% 0.29/0.66 thf(fact_95_freshFreeDerivative_I1_J,axiom,
% 0.29/0.66 ! [P: pi,Alpha: late_freeRes,P2: pi,Y: name] :
% 0.29/0.66 ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
% 0.29/0.66 => ( ( fresh_name_pi @ Y @ P )
% 0.29/0.66 => ( fresh_1641682979reeRes @ Y @ Alpha ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % freshFreeDerivative(1)
% 0.29/0.66 thf(fact_96_freshBoundDerivative_I1_J,axiom,
% 0.29/0.66 ! [P: pi,A: late_subject,X: name,P2: pi,Y: name] :
% 0.29/0.66 ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P2 ) )
% 0.29/0.66 => ( ( fresh_name_pi @ Y @ P )
% 0.29/0.66 => ( fresh_717452603ubject @ Y @ A ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % freshBoundDerivative(1)
% 0.29/0.66 thf(fact_97_resTauBoundTrans,axiom,
% 0.29/0.66 ! [X: name,P: pi,A: late_subject,Y: name,P2: pi] :
% 0.29/0.66 ~ ( late_transitions @ ( res @ X @ ( tau @ P ) ) @ ( late_BoundR @ A @ Y @ P2 ) ) ).
% 0.29/0.66
% 0.29/0.66 % resTauBoundTrans
% 0.29/0.66 thf(fact_98_parCasesB_H,axiom,
% 0.29/0.66 ! [P: pi,Q: pi,B: late_subject,Y: name,P2: pi] :
% 0.29/0.66 ( ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ B @ Y @ P2 ) )
% 0.29/0.66 => ( ! [P3: pi,A3: late_subject,X4: name,P4: pi,Q4: pi] :
% 0.29/0.66 ( ( ( par @ P @ Q )
% 0.29/0.66 = ( par @ P3 @ Q4 ) )
% 0.29/0.66 => ( ( ( late_BoundR @ B @ Y @ P2 )
% 0.29/0.66 = ( late_BoundR @ A3 @ X4 @ ( par @ P4 @ Q4 ) ) )
% 0.29/0.66 => ( ( late_transitions @ P3 @ ( late_BoundR @ A3 @ X4 @ P4 ) )
% 0.29/0.66 => ( ( fresh_name_pi @ X4 @ P3 )
% 0.29/0.66 => ( ( fresh_name_pi @ X4 @ Q4 )
% 0.29/0.66 => ~ ( fresh_717452603ubject @ X4 @ A3 ) ) ) ) ) )
% 0.29/0.66 => ~ ! [Q4: pi,A3: late_subject,X4: name,Q3: pi,P3: pi] :
% 0.29/0.66 ( ( ( par @ P @ Q )
% 0.29/0.66 = ( par @ P3 @ Q4 ) )
% 0.29/0.66 => ( ( ( late_BoundR @ B @ Y @ P2 )
% 0.29/0.66 = ( late_BoundR @ A3 @ X4 @ ( par @ P3 @ Q3 ) ) )
% 0.29/0.66 => ( ( late_transitions @ Q4 @ ( late_BoundR @ A3 @ X4 @ Q3 ) )
% 0.29/0.66 => ( ( fresh_name_pi @ X4 @ P3 )
% 0.29/0.66 => ( ( fresh_name_pi @ X4 @ Q4 )
% 0.29/0.66 => ~ ( fresh_717452603ubject @ X4 @ A3 ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % parCasesB'
% 0.29/0.66 thf(fact_99_transitions_OPar1B,axiom,
% 0.29/0.66 ! [P: pi,A: late_subject,X: name,P2: pi,Q: pi] :
% 0.29/0.66 ( ( late_transitions @ P @ ( late_BoundR @ A @ X @ P2 ) )
% 0.29/0.66 => ( ( fresh_name_pi @ X @ P )
% 0.29/0.66 => ( ( fresh_name_pi @ X @ Q )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X @ A )
% 0.29/0.66 => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P2 @ Q ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % transitions.Par1B
% 0.29/0.66 thf(fact_100_transitions_OPar2B,axiom,
% 0.29/0.66 ! [Q: pi,A: late_subject,X: name,Q2: pi,P: pi] :
% 0.29/0.66 ( ( late_transitions @ Q @ ( late_BoundR @ A @ X @ Q2 ) )
% 0.29/0.66 => ( ( fresh_name_pi @ X @ P )
% 0.29/0.66 => ( ( fresh_name_pi @ X @ Q )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X @ A )
% 0.29/0.66 => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A @ X @ ( par @ P @ Q2 ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % transitions.Par2B
% 0.29/0.66 thf(fact_101_resTauOutputTrans,axiom,
% 0.29/0.66 ! [X: name,P: pi,A: name,B: name,P2: pi] :
% 0.29/0.66 ~ ( late_transitions @ ( res @ X @ ( tau @ P ) ) @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ P2 ) ) ).
% 0.29/0.66
% 0.29/0.66 % resTauOutputTrans
% 0.29/0.66 thf(fact_102_Late__Semantics_OClose1,axiom,
% 0.29/0.66 ! [P: pi,A: name,X: name,P2: pi,Q: pi,Y: name,Q2: pi] :
% 0.29/0.66 ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P2 ) )
% 0.29/0.66 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_BoundOutputS @ A ) @ Y @ Q2 ) )
% 0.29/0.66 => ( ( fresh_name_pi @ Y @ P )
% 0.29/0.66 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ ( subs @ P2 @ X @ Y ) @ Q2 ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % Late_Semantics.Close1
% 0.29/0.66 thf(fact_103_resOutputTauTrans,axiom,
% 0.29/0.66 ! [X: name,A: name,B: name,P: pi,P2: pi] :
% 0.29/0.66 ~ ( late_transitions @ ( res @ X @ ( output @ A @ B @ P ) ) @ ( late_FreeR @ late_TauR @ P2 ) ) ).
% 0.29/0.66
% 0.29/0.66 % resOutputTauTrans
% 0.29/0.66 thf(fact_104_resOutputInputTrans,axiom,
% 0.29/0.66 ! [X: name,A: name,B: name,P: pi,C: name,Y: name,P2: pi] :
% 0.29/0.66 ~ ( late_transitions @ ( res @ X @ ( output @ A @ B @ P ) ) @ ( late_BoundR @ ( late_InputS @ C ) @ Y @ P2 ) ) ).
% 0.29/0.66
% 0.29/0.66 % resOutputInputTrans
% 0.29/0.66 thf(fact_105_resOutputOutputTrans,axiom,
% 0.29/0.66 ! [X: name,A: name,P: pi,B: name,Y: name,P2: pi] :
% 0.29/0.66 ~ ( late_transitions @ ( res @ X @ ( output @ A @ X @ P ) ) @ ( late_FreeR @ ( late_OutputR @ B @ Y ) @ P2 ) ) ).
% 0.29/0.66
% 0.29/0.66 % resOutputOutputTrans
% 0.29/0.66 thf(fact_106_resInputBoundOutputTrans,axiom,
% 0.29/0.66 ! [X: name,A: name,Y: name,P: pi,B: name,Z: name,P2: pi] :
% 0.29/0.66 ~ ( late_transitions @ ( res @ X @ ( input @ A @ Y @ P ) ) @ ( late_BoundR @ ( late_BoundOutputS @ B ) @ Z @ P2 ) ) ).
% 0.29/0.66
% 0.29/0.66 % resInputBoundOutputTrans
% 0.29/0.66 thf(fact_107_outputTauTrans,axiom,
% 0.29/0.66 ! [A: name,B: name,P: pi,P2: pi] :
% 0.29/0.66 ~ ( late_transitions @ ( output @ A @ B @ P ) @ ( late_FreeR @ late_TauR @ P2 ) ) ).
% 0.29/0.66
% 0.29/0.66 % outputTauTrans
% 0.29/0.66 thf(fact_108_outputCases,axiom,
% 0.29/0.66 ! [A: name,B: name,P: pi,Alpha: late_freeRes,P2: pi,Prop: late_freeRes > pi > $o] :
% 0.29/0.66 ( ( late_transitions @ ( output @ A @ B @ P ) @ ( late_FreeR @ Alpha @ P2 ) )
% 0.29/0.66 => ( ( ( Alpha
% 0.29/0.66 = ( late_OutputR @ A @ B ) )
% 0.29/0.66 => ( ( P = P2 )
% 0.29/0.66 => ( Prop @ ( late_OutputR @ A @ B ) @ P ) ) )
% 0.29/0.66 => ( Prop @ Alpha @ P2 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % outputCases
% 0.29/0.66 thf(fact_109_outputCases_H,axiom,
% 0.29/0.66 ! [A: name,B: name,P: pi,Rs: late_residual] :
% 0.29/0.66 ( ( late_transitions @ ( output @ A @ B @ P ) @ Rs )
% 0.29/0.66 => ~ ! [A3: name,B2: name,P3: pi] :
% 0.29/0.66 ( ( ( A = A3 )
% 0.29/0.66 & ( B = B2 )
% 0.29/0.66 & ( P = P3 ) )
% 0.29/0.66 => ( Rs
% 0.29/0.66 != ( late_FreeR @ ( late_OutputR @ A3 @ B2 ) @ P3 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % outputCases'
% 0.29/0.66 thf(fact_110_name__fresh,axiom,
% 0.29/0.66 ( fresh_name_name
% 0.29/0.66 = ( ^ [A4: name,B3: name] : ( A4 != B3 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % name_fresh
% 0.29/0.66 thf(fact_111_pi_Ofresh_I2_J,axiom,
% 0.29/0.66 ! [A: name,X32: name,X2: name,X1: pi] :
% 0.29/0.66 ( ( fresh_name_pi @ A @ ( output @ X32 @ X2 @ X1 ) )
% 0.29/0.66 = ( ( fresh_name_name @ A @ X32 )
% 0.29/0.66 & ( fresh_name_name @ A @ X2 )
% 0.29/0.66 & ( fresh_name_pi @ A @ X1 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.fresh(2)
% 0.29/0.66 thf(fact_112_pi_Odistinct_I21_J,axiom,
% 0.29/0.66 ! [Name12: name,Name23: name,Pi2: pi,Name13: name,Name24: name,Pi3: pi] :
% 0.29/0.66 ( ( output @ Name12 @ Name23 @ Pi2 )
% 0.29/0.66 != ( input @ Name13 @ Name24 @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(21)
% 0.29/0.66 thf(fact_113_pi_Oinject_I1_J,axiom,
% 0.29/0.66 ! [X32: name,X2: name,X1: pi,Y32: name,Y2: name,Y1: pi] :
% 0.29/0.66 ( ( ( output @ X32 @ X2 @ X1 )
% 0.29/0.66 = ( output @ Y32 @ Y2 @ Y1 ) )
% 0.29/0.66 = ( ( X32 = Y32 )
% 0.29/0.66 & ( X2 = Y2 )
% 0.29/0.66 & ( X1 = Y1 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.inject(1)
% 0.29/0.66 thf(fact_114_pi_Odistinct_I55_J,axiom,
% 0.29/0.66 ! [Name12: name,Name23: name,Pi2: pi,Pi1: pi,Pi22: pi] :
% 0.29/0.66 ( ( input @ Name12 @ Name23 @ Pi2 )
% 0.29/0.66 != ( par @ Pi1 @ Pi22 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(55)
% 0.29/0.66 thf(fact_115_pi_Odistinct_I57_J,axiom,
% 0.29/0.66 ! [Name12: name,Name23: name,Pi2: pi,Name3: name,Pi3: pi] :
% 0.29/0.66 ( ( input @ Name12 @ Name23 @ Pi2 )
% 0.29/0.66 != ( res @ Name3 @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(57)
% 0.29/0.66 thf(fact_116_pi_Odistinct_I29_J,axiom,
% 0.29/0.66 ! [Name12: name,Name23: name,Pi2: pi,Pi1: pi,Pi22: pi] :
% 0.29/0.66 ( ( output @ Name12 @ Name23 @ Pi2 )
% 0.29/0.66 != ( par @ Pi1 @ Pi22 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(29)
% 0.29/0.66 thf(fact_117_pi_Odistinct_I31_J,axiom,
% 0.29/0.66 ! [Name12: name,Name23: name,Pi2: pi,Name3: name,Pi3: pi] :
% 0.29/0.66 ( ( output @ Name12 @ Name23 @ Pi2 )
% 0.29/0.66 != ( res @ Name3 @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(31)
% 0.29/0.66 thf(fact_118_pi_Odistinct_I35_J,axiom,
% 0.29/0.66 ! [Pi2: pi,Name13: name,Name24: name,Pi3: pi] :
% 0.29/0.66 ( ( tau @ Pi2 )
% 0.29/0.66 != ( input @ Name13 @ Name24 @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(35)
% 0.29/0.66 thf(fact_119_pi_Odistinct_I19_J,axiom,
% 0.29/0.66 ! [Name12: name,Name23: name,Pi2: pi,Pi3: pi] :
% 0.29/0.66 ( ( output @ Name12 @ Name23 @ Pi2 )
% 0.29/0.66 != ( tau @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(19)
% 0.29/0.66 thf(fact_120_resTrans_I2_J,axiom,
% 0.29/0.66 ! [X: name,Y: name,P: pi,Rs: late_residual] :
% 0.29/0.66 ~ ( late_transitions @ ( res @ X @ ( input @ X @ Y @ P ) ) @ Rs ) ).
% 0.29/0.66
% 0.29/0.66 % resTrans(2)
% 0.29/0.66 thf(fact_121_inputFreeTrans,axiom,
% 0.29/0.66 ! [A: name,X: name,P: pi,Alpha: late_freeRes,P2: pi] :
% 0.29/0.66 ~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_FreeR @ Alpha @ P2 ) ) ).
% 0.29/0.66
% 0.29/0.66 % inputFreeTrans
% 0.29/0.66 thf(fact_122_resTrans_I1_J,axiom,
% 0.29/0.66 ! [X: name,B: name,P: pi,Rs: late_residual] :
% 0.29/0.66 ~ ( late_transitions @ ( res @ X @ ( output @ X @ B @ P ) ) @ Rs ) ).
% 0.29/0.66
% 0.29/0.66 % resTrans(1)
% 0.29/0.66 thf(fact_123_outputBoundTrans,axiom,
% 0.29/0.66 ! [A: name,B: name,P: pi,C: late_subject,X: name,P2: pi] :
% 0.29/0.66 ~ ( late_transitions @ ( output @ A @ B @ P ) @ ( late_BoundR @ C @ X @ P2 ) ) ).
% 0.29/0.66
% 0.29/0.66 % outputBoundTrans
% 0.29/0.66 thf(fact_124_outputFreshTrans,axiom,
% 0.29/0.66 ! [A: name,B: name,P: pi,Alpha: late_freeRes,P2: pi] :
% 0.29/0.66 ( ( late_transitions @ ( output @ A @ B @ P ) @ ( late_FreeR @ Alpha @ P2 ) )
% 0.29/0.66 => ~ ( ( fresh_1641682979reeRes @ A @ Alpha )
% 0.29/0.66 | ( fresh_1641682979reeRes @ B @ Alpha ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % outputFreshTrans
% 0.29/0.66 thf(fact_125_resInputFreeTrans,axiom,
% 0.29/0.66 ! [X: name,A: name,Y: name,P: pi,Alpha: late_freeRes,P2: pi] :
% 0.29/0.66 ~ ( late_transitions @ ( res @ X @ ( input @ A @ Y @ P ) ) @ ( late_FreeR @ Alpha @ P2 ) ) ).
% 0.29/0.66
% 0.29/0.66 % resInputFreeTrans
% 0.29/0.66 thf(fact_126_Late__Semantics_OInput,axiom,
% 0.29/0.66 ! [A: name,X: name,P: pi] : ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P ) ) ).
% 0.29/0.66
% 0.29/0.66 % Late_Semantics.Input
% 0.29/0.66 thf(fact_127_transitions_OInput,axiom,
% 0.29/0.66 ! [X: name,A: name,P: pi] :
% 0.29/0.66 ( ( X != A )
% 0.29/0.66 => ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ ( late_InputS @ A ) @ X @ P ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % transitions.Input
% 0.29/0.66 thf(fact_128_inputBoundOutputTrans,axiom,
% 0.29/0.66 ! [A: name,X: name,P: pi,B: name,Y: name,P2: pi] :
% 0.29/0.66 ~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ ( late_BoundOutputS @ B ) @ Y @ P2 ) ) ).
% 0.29/0.66
% 0.29/0.66 % inputBoundOutputTrans
% 0.29/0.66 thf(fact_129_inputIneqTrans,axiom,
% 0.29/0.66 ! [A: name,X: name,P: pi,B: late_subject,Y: name,P2: pi] :
% 0.29/0.66 ( ( late_transitions @ ( input @ A @ X @ P ) @ ( late_BoundR @ B @ Y @ P2 ) )
% 0.29/0.66 => ~ ( fresh_717452603ubject @ A @ B ) ) ).
% 0.29/0.66
% 0.29/0.66 % inputIneqTrans
% 0.29/0.66 thf(fact_130_Output,axiom,
% 0.29/0.66 ! [A: name,B: name,P: pi] : ( late_transitions @ ( output @ A @ B @ P ) @ ( late_FreeR @ ( late_OutputR @ A @ B ) @ P ) ) ).
% 0.29/0.66
% 0.29/0.66 % Output
% 0.29/0.66 thf(fact_131_outputIneqTrans,axiom,
% 0.29/0.66 ! [A: name,B: name,P: pi,C: name,D: name,P2: pi] :
% 0.29/0.66 ( ( late_transitions @ ( output @ A @ B @ P ) @ ( late_FreeR @ ( late_OutputR @ C @ D ) @ P2 ) )
% 0.29/0.66 => ~ ( ( A != C )
% 0.29/0.66 | ( B != D ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % outputIneqTrans
% 0.29/0.66 thf(fact_132_residual_Ofresh_I1_J,axiom,
% 0.29/0.66 ! [A: name,X32: late_subject,X1: name,X2: pi] :
% 0.29/0.66 ( ( fresh_81631222sidual @ A @ ( late_BoundR @ X32 @ X1 @ X2 ) )
% 0.29/0.66 = ( ( fresh_717452603ubject @ A @ X32 )
% 0.29/0.66 & ( fresh_543891186ion_pi @ A @ ( abs_fun_name_pi @ X1 @ X2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.fresh(1)
% 0.29/0.66 thf(fact_133_simps_I3_J,axiom,
% 0.29/0.66 ! [A: name,B: name,P: pi,C: name,D: name] :
% 0.29/0.66 ( ( subs @ ( output @ A @ B @ P ) @ C @ D )
% 0.29/0.66 = ( output @ ( subst_name @ A @ C @ D ) @ ( subst_name @ B @ C @ D ) @ ( subs @ P @ C @ D ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % simps(3)
% 0.29/0.66 thf(fact_134_substInput,axiom,
% 0.29/0.66 ! [X: name,B: name,C: name,A: name,P: pi] :
% 0.29/0.66 ( ( X != B )
% 0.29/0.66 => ( ( X != C )
% 0.29/0.66 => ( ( subs @ ( input @ A @ X @ P ) @ B @ C )
% 0.29/0.66 = ( input @ ( subst_name @ A @ B @ C ) @ X @ ( subs @ P @ B @ C ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substInput
% 0.29/0.66 thf(fact_135_simps_I4_J,axiom,
% 0.29/0.66 ! [X: name,A: name,C: name,D: name,P: pi] :
% 0.29/0.66 ( ( X != A )
% 0.29/0.66 => ( ( X != C )
% 0.29/0.66 => ( ( X != D )
% 0.29/0.66 => ( ( subs @ ( input @ A @ X @ P ) @ C @ D )
% 0.29/0.66 = ( input @ ( subst_name @ A @ C @ D ) @ X @ ( subs @ P @ C @ D ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % simps(4)
% 0.29/0.66 thf(fact_136_inputCases_H,axiom,
% 0.29/0.66 ! [A: name,B: name,P: pi,Rs: late_residual] :
% 0.29/0.66 ( ( late_transitions @ ( input @ A @ B @ P ) @ Rs )
% 0.29/0.66 => ~ ! [X4: name,A3: name,P3: pi] :
% 0.29/0.66 ( ( ( A = A3 )
% 0.29/0.66 & ( ( abs_fun_name_pi @ B @ P )
% 0.29/0.66 = ( abs_fun_name_pi @ X4 @ P3 ) ) )
% 0.29/0.66 => ( ( Rs
% 0.29/0.66 = ( late_BoundR @ ( late_InputS @ A3 ) @ X4 @ P3 ) )
% 0.29/0.66 => ( X4 = A3 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % inputCases'
% 0.29/0.66 thf(fact_137_pi_Ofresh_I9_J,axiom,
% 0.29/0.66 ! [A: name,X1: name,X2: pi] :
% 0.29/0.66 ( ( fresh_name_pi @ A @ ( res @ X1 @ X2 ) )
% 0.29/0.66 = ( fresh_543891186ion_pi @ A @ ( abs_fun_name_pi @ X1 @ X2 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.fresh(9)
% 0.29/0.66 thf(fact_138_pi_Ofresh_I4_J,axiom,
% 0.29/0.66 ! [A: name,X32: name,X1: name,X2: pi] :
% 0.29/0.66 ( ( fresh_name_pi @ A @ ( input @ X32 @ X1 @ X2 ) )
% 0.29/0.66 = ( ( fresh_name_name @ A @ X32 )
% 0.29/0.66 & ( fresh_543891186ion_pi @ A @ ( abs_fun_name_pi @ X1 @ X2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.fresh(4)
% 0.29/0.66 thf(fact_139_pi_Oinject_I8_J,axiom,
% 0.29/0.66 ! [X1: name,X2: pi,Y1: name,Y2: pi] :
% 0.29/0.66 ( ( ( res @ X1 @ X2 )
% 0.29/0.66 = ( res @ Y1 @ Y2 ) )
% 0.29/0.66 = ( ( abs_fun_name_pi @ X1 @ X2 )
% 0.29/0.66 = ( abs_fun_name_pi @ Y1 @ Y2 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.inject(8)
% 0.29/0.66 thf(fact_140_residual_Oinject_I1_J,axiom,
% 0.29/0.66 ! [X32: late_subject,X1: name,X2: pi,Y32: late_subject,Y1: name,Y2: pi] :
% 0.29/0.66 ( ( ( late_BoundR @ X32 @ X1 @ X2 )
% 0.29/0.66 = ( late_BoundR @ Y32 @ Y1 @ Y2 ) )
% 0.29/0.66 = ( ( X32 = Y32 )
% 0.29/0.66 & ( ( abs_fun_name_pi @ X1 @ X2 )
% 0.29/0.66 = ( abs_fun_name_pi @ Y1 @ Y2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.inject(1)
% 0.29/0.66 thf(fact_141_subst__name__def,axiom,
% 0.29/0.66 ( subst_name
% 0.29/0.66 = ( ^ [A4: name,B3: name,C3: name] : ( if_name @ ( A4 = B3 ) @ C3 @ A4 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % subst_name_def
% 0.29/0.66 thf(fact_142_name__fresh__abs,axiom,
% 0.29/0.66 ! [B: name,A: name,X: late_subject] :
% 0.29/0.66 ( ( fresh_728038529ubject @ B @ ( abs_fu1904601852ubject @ A @ X ) )
% 0.29/0.66 = ( ( B = A )
% 0.29/0.66 | ( fresh_717452603ubject @ B @ X ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % name_fresh_abs
% 0.29/0.66 thf(fact_143_name__fresh__abs,axiom,
% 0.29/0.66 ! [B: name,A: name,X: late_freeRes] :
% 0.29/0.66 ( ( fresh_785364841reeRes @ B @ ( abs_fu681348580reeRes @ A @ X ) )
% 0.29/0.66 = ( ( B = A )
% 0.29/0.66 | ( fresh_1641682979reeRes @ B @ X ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % name_fresh_abs
% 0.29/0.66 thf(fact_144_name__fresh__abs,axiom,
% 0.29/0.66 ! [B: name,A: name,X: name] :
% 0.29/0.66 ( ( fresh_1093033124n_name @ B @ ( abs_fun_name_name @ A @ X ) )
% 0.29/0.66 = ( ( B = A )
% 0.29/0.66 | ( fresh_name_name @ B @ X ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % name_fresh_abs
% 0.29/0.66 thf(fact_145_name__fresh__abs,axiom,
% 0.29/0.66 ! [B: name,A: name,X: pi] :
% 0.29/0.66 ( ( fresh_543891186ion_pi @ B @ ( abs_fun_name_pi @ A @ X ) )
% 0.29/0.66 = ( ( B = A )
% 0.29/0.66 | ( fresh_name_pi @ B @ X ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % name_fresh_abs
% 0.29/0.66 thf(fact_146_abs__fresh_I1_J,axiom,
% 0.29/0.66 ! [B: name,A: name,X: late_subject] :
% 0.29/0.66 ( ( fresh_728038529ubject @ B @ ( abs_fu1904601852ubject @ A @ X ) )
% 0.29/0.66 = ( ( B = A )
% 0.29/0.66 | ( fresh_717452603ubject @ B @ X ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % abs_fresh(1)
% 0.29/0.66 thf(fact_147_abs__fresh_I1_J,axiom,
% 0.29/0.66 ! [B: name,A: name,X: late_freeRes] :
% 0.29/0.66 ( ( fresh_785364841reeRes @ B @ ( abs_fu681348580reeRes @ A @ X ) )
% 0.29/0.66 = ( ( B = A )
% 0.29/0.66 | ( fresh_1641682979reeRes @ B @ X ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % abs_fresh(1)
% 0.29/0.66 thf(fact_148_abs__fresh_I1_J,axiom,
% 0.29/0.66 ! [B: name,A: name,X: name] :
% 0.29/0.66 ( ( fresh_1093033124n_name @ B @ ( abs_fun_name_name @ A @ X ) )
% 0.29/0.66 = ( ( B = A )
% 0.29/0.66 | ( fresh_name_name @ B @ X ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % abs_fresh(1)
% 0.29/0.66 thf(fact_149_abs__fresh_I1_J,axiom,
% 0.29/0.66 ! [B: name,A: name,X: pi] :
% 0.29/0.66 ( ( fresh_543891186ion_pi @ B @ ( abs_fun_name_pi @ A @ X ) )
% 0.29/0.66 = ( ( B = A )
% 0.29/0.66 | ( fresh_name_pi @ B @ X ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % abs_fresh(1)
% 0.29/0.66 thf(fact_150_pi_Oinject_I3_J,axiom,
% 0.29/0.66 ! [X32: name,X1: name,X2: pi,Y32: name,Y1: name,Y2: pi] :
% 0.29/0.66 ( ( ( input @ X32 @ X1 @ X2 )
% 0.29/0.66 = ( input @ Y32 @ Y1 @ Y2 ) )
% 0.29/0.66 = ( ( X32 = Y32 )
% 0.29/0.66 & ( ( abs_fun_name_pi @ X1 @ X2 )
% 0.29/0.66 = ( abs_fun_name_pi @ Y1 @ Y2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.inject(3)
% 0.29/0.66 thf(fact_151_simps_I5_J,axiom,
% 0.29/0.66 ! [A: name,B: name,P: pi,C: name,D: name] :
% 0.29/0.66 ( ( subs @ ( match @ A @ B @ P ) @ C @ D )
% 0.29/0.66 = ( match @ ( subst_name @ A @ C @ D ) @ ( subst_name @ B @ C @ D ) @ ( subs @ P @ C @ D ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % simps(5)
% 0.29/0.66 thf(fact_152_simps_I6_J,axiom,
% 0.29/0.66 ! [A: name,B: name,P: pi,C: name,D: name] :
% 0.29/0.66 ( ( subs @ ( mismatch @ A @ B @ P ) @ C @ D )
% 0.29/0.66 = ( mismatch @ ( subst_name @ A @ C @ D ) @ ( subst_name @ B @ C @ D ) @ ( subs @ P @ C @ D ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % simps(6)
% 0.29/0.66 thf(fact_153_pi_Ofresh_I5_J,axiom,
% 0.29/0.66 ! [A: name,X32: name,X2: name,X1: pi] :
% 0.29/0.66 ( ( fresh_name_pi @ A @ ( match @ X32 @ X2 @ X1 ) )
% 0.29/0.66 = ( ( fresh_name_name @ A @ X32 )
% 0.29/0.66 & ( fresh_name_name @ A @ X2 )
% 0.29/0.66 & ( fresh_name_pi @ A @ X1 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.fresh(5)
% 0.29/0.66 thf(fact_154_pi_Ofresh_I6_J,axiom,
% 0.29/0.66 ! [A: name,X32: name,X2: name,X1: pi] :
% 0.29/0.66 ( ( fresh_name_pi @ A @ ( mismatch @ X32 @ X2 @ X1 ) )
% 0.29/0.66 = ( ( fresh_name_name @ A @ X32 )
% 0.29/0.66 & ( fresh_name_name @ A @ X2 )
% 0.29/0.66 & ( fresh_name_pi @ A @ X1 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.fresh(6)
% 0.29/0.66 thf(fact_155_matchCases,axiom,
% 0.29/0.66 ! [A: name,B: name,P: pi,Rs: late_residual,F: name > name > $o] :
% 0.29/0.66 ( ( late_transitions @ ( match @ A @ B @ P ) @ Rs )
% 0.29/0.66 => ( ( ( late_transitions @ P @ Rs )
% 0.29/0.66 => ( ( A = B )
% 0.29/0.66 => ( F @ A @ A ) ) )
% 0.29/0.66 => ( F @ A @ B ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % matchCases
% 0.29/0.66 thf(fact_156_matchTrans,axiom,
% 0.29/0.66 ! [A: name,B: name,P: pi,Rs: late_residual] :
% 0.29/0.66 ( ( late_transitions @ ( match @ A @ B @ P ) @ Rs )
% 0.29/0.66 => ( A = B ) ) ).
% 0.29/0.66
% 0.29/0.66 % matchTrans
% 0.29/0.66 thf(fact_157_matchCases_H,axiom,
% 0.29/0.66 ! [A: name,B: name,P: pi,Rs: late_residual] :
% 0.29/0.66 ( ( late_transitions @ ( match @ A @ B @ P ) @ Rs )
% 0.29/0.66 => ~ ! [P3: pi] :
% 0.29/0.66 ( ( ( B = A )
% 0.29/0.66 & ( P = P3 ) )
% 0.29/0.66 => ~ ( late_transitions @ P3 @ Rs ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % matchCases'
% 0.29/0.66 thf(fact_158_mismatchCases,axiom,
% 0.29/0.66 ! [A: name,B: name,P: pi,Rs: late_residual,F: name > name > $o] :
% 0.29/0.66 ( ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs )
% 0.29/0.66 => ( ( ( late_transitions @ P @ Rs )
% 0.29/0.66 => ( ( A != B )
% 0.29/0.66 => ( F @ A @ B ) ) )
% 0.29/0.66 => ( F @ A @ B ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % mismatchCases
% 0.29/0.66 thf(fact_159_mismatchTrans,axiom,
% 0.29/0.66 ! [A: name,P: pi,Rs: late_residual] :
% 0.29/0.66 ~ ( late_transitions @ ( mismatch @ A @ A @ P ) @ Rs ) ).
% 0.29/0.66
% 0.29/0.66 % mismatchTrans
% 0.29/0.66 thf(fact_160_mismatchCases_H,axiom,
% 0.29/0.66 ! [A: name,B: name,P: pi,Rs: late_residual] :
% 0.29/0.66 ( ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs )
% 0.29/0.66 => ~ ! [P3: pi,A3: name,B2: name] :
% 0.29/0.66 ( ( ( A = A3 )
% 0.29/0.66 & ( B = B2 )
% 0.29/0.66 & ( P = P3 ) )
% 0.29/0.66 => ( ( late_transitions @ P3 @ Rs )
% 0.29/0.66 => ( A3 = B2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % mismatchCases'
% 0.29/0.66 thf(fact_161_Match,axiom,
% 0.29/0.66 ! [P: pi,Rs: late_residual,B: name] :
% 0.29/0.66 ( ( late_transitions @ P @ Rs )
% 0.29/0.66 => ( late_transitions @ ( match @ B @ B @ P ) @ Rs ) ) ).
% 0.29/0.66
% 0.29/0.66 % Match
% 0.29/0.66 thf(fact_162_Mismatch,axiom,
% 0.29/0.66 ! [P: pi,Rs: late_residual,A: name,B: name] :
% 0.29/0.66 ( ( late_transitions @ P @ Rs )
% 0.29/0.66 => ( ( A != B )
% 0.29/0.66 => ( late_transitions @ ( mismatch @ A @ B @ P ) @ Rs ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % Mismatch
% 0.29/0.66 thf(fact_163_pi_Odistinct_I73_J,axiom,
% 0.29/0.66 ! [Name12: name,Name23: name,Pi2: pi,Pi1: pi,Pi22: pi] :
% 0.29/0.66 ( ( mismatch @ Name12 @ Name23 @ Pi2 )
% 0.29/0.66 != ( par @ Pi1 @ Pi22 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(73)
% 0.29/0.66 thf(fact_164_pi_Odistinct_I65_J,axiom,
% 0.29/0.66 ! [Name12: name,Name23: name,Pi2: pi,Pi1: pi,Pi22: pi] :
% 0.29/0.66 ( ( match @ Name12 @ Name23 @ Pi2 )
% 0.29/0.66 != ( par @ Pi1 @ Pi22 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(65)
% 0.29/0.66 thf(fact_165_pi_Odistinct_I75_J,axiom,
% 0.29/0.66 ! [Name12: name,Name23: name,Pi2: pi,Name3: name,Pi3: pi] :
% 0.29/0.66 ( ( mismatch @ Name12 @ Name23 @ Pi2 )
% 0.29/0.66 != ( res @ Name3 @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(75)
% 0.29/0.66 thf(fact_166_pi_Odistinct_I67_J,axiom,
% 0.29/0.66 ! [Name12: name,Name23: name,Pi2: pi,Name3: name,Pi3: pi] :
% 0.29/0.66 ( ( match @ Name12 @ Name23 @ Pi2 )
% 0.29/0.66 != ( res @ Name3 @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(67)
% 0.29/0.66 thf(fact_167_pi_Odistinct_I61_J,axiom,
% 0.29/0.66 ! [Name12: name,Name23: name,Pi2: pi,Name13: name,Name24: name,Pi3: pi] :
% 0.29/0.66 ( ( match @ Name12 @ Name23 @ Pi2 )
% 0.29/0.66 != ( mismatch @ Name13 @ Name24 @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(61)
% 0.29/0.66 thf(fact_168_pi_Oinject_I4_J,axiom,
% 0.29/0.66 ! [X32: name,X2: name,X1: pi,Y32: name,Y2: name,Y1: pi] :
% 0.29/0.66 ( ( ( match @ X32 @ X2 @ X1 )
% 0.29/0.66 = ( match @ Y32 @ Y2 @ Y1 ) )
% 0.29/0.66 = ( ( X32 = Y32 )
% 0.29/0.66 & ( X2 = Y2 )
% 0.29/0.66 & ( X1 = Y1 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.inject(4)
% 0.29/0.66 thf(fact_169_pi_Oinject_I5_J,axiom,
% 0.29/0.66 ! [X32: name,X2: name,X1: pi,Y32: name,Y2: name,Y1: pi] :
% 0.29/0.66 ( ( ( mismatch @ X32 @ X2 @ X1 )
% 0.29/0.66 = ( mismatch @ Y32 @ Y2 @ Y1 ) )
% 0.29/0.66 = ( ( X32 = Y32 )
% 0.29/0.66 & ( X2 = Y2 )
% 0.29/0.66 & ( X1 = Y1 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.inject(5)
% 0.29/0.66 thf(fact_170_pi_Odistinct_I49_J,axiom,
% 0.29/0.66 ! [Name12: name,Name23: name,Pi2: pi,Name13: name,Name24: name,Pi3: pi] :
% 0.29/0.66 ( ( input @ Name12 @ Name23 @ Pi2 )
% 0.29/0.66 != ( match @ Name13 @ Name24 @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(49)
% 0.29/0.66 thf(fact_171_pi_Odistinct_I51_J,axiom,
% 0.29/0.66 ! [Name12: name,Name23: name,Pi2: pi,Name13: name,Name24: name,Pi3: pi] :
% 0.29/0.66 ( ( input @ Name12 @ Name23 @ Pi2 )
% 0.29/0.66 != ( mismatch @ Name13 @ Name24 @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(51)
% 0.29/0.66 thf(fact_172_pi_Odistinct_I23_J,axiom,
% 0.29/0.66 ! [Name12: name,Name23: name,Pi2: pi,Name13: name,Name24: name,Pi3: pi] :
% 0.29/0.66 ( ( output @ Name12 @ Name23 @ Pi2 )
% 0.29/0.66 != ( match @ Name13 @ Name24 @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(23)
% 0.29/0.66 thf(fact_173_pi_Odistinct_I25_J,axiom,
% 0.29/0.66 ! [Name12: name,Name23: name,Pi2: pi,Name13: name,Name24: name,Pi3: pi] :
% 0.29/0.66 ( ( output @ Name12 @ Name23 @ Pi2 )
% 0.29/0.66 != ( mismatch @ Name13 @ Name24 @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(25)
% 0.29/0.66 thf(fact_174_pi_Odistinct_I39_J,axiom,
% 0.29/0.66 ! [Pi2: pi,Name13: name,Name24: name,Pi3: pi] :
% 0.29/0.66 ( ( tau @ Pi2 )
% 0.29/0.66 != ( mismatch @ Name13 @ Name24 @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(39)
% 0.29/0.66 thf(fact_175_pi_Odistinct_I37_J,axiom,
% 0.29/0.66 ! [Pi2: pi,Name13: name,Name24: name,Pi3: pi] :
% 0.29/0.66 ( ( tau @ Pi2 )
% 0.29/0.66 != ( match @ Name13 @ Name24 @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(37)
% 0.29/0.66 thf(fact_176_abs__fun__eq1,axiom,
% 0.29/0.66 ! [A: name,X: name,Y: name] :
% 0.29/0.66 ( ( ( abs_fun_name_name @ A @ X )
% 0.29/0.66 = ( abs_fun_name_name @ A @ Y ) )
% 0.29/0.66 = ( X = Y ) ) ).
% 0.29/0.66
% 0.29/0.66 % abs_fun_eq1
% 0.29/0.66 thf(fact_177_abs__fun__eq1,axiom,
% 0.29/0.66 ! [A: name,X: late_freeRes,Y: late_freeRes] :
% 0.29/0.66 ( ( ( abs_fu681348580reeRes @ A @ X )
% 0.29/0.66 = ( abs_fu681348580reeRes @ A @ Y ) )
% 0.29/0.66 = ( X = Y ) ) ).
% 0.29/0.66
% 0.29/0.66 % abs_fun_eq1
% 0.29/0.66 thf(fact_178_abs__fun__eq1,axiom,
% 0.29/0.66 ! [A: name,X: late_subject,Y: late_subject] :
% 0.29/0.66 ( ( ( abs_fu1904601852ubject @ A @ X )
% 0.29/0.66 = ( abs_fu1904601852ubject @ A @ Y ) )
% 0.29/0.66 = ( X = Y ) ) ).
% 0.29/0.66
% 0.29/0.66 % abs_fun_eq1
% 0.29/0.66 thf(fact_179_abs__fun__eq1,axiom,
% 0.29/0.66 ! [A: name,X: name > noption_pi,Y: name > noption_pi] :
% 0.29/0.66 ( ( ( abs_fu1614711987ion_pi @ A @ X )
% 0.29/0.66 = ( abs_fu1614711987ion_pi @ A @ Y ) )
% 0.29/0.66 = ( X = Y ) ) ).
% 0.29/0.66
% 0.29/0.66 % abs_fun_eq1
% 0.29/0.66 thf(fact_180_abs__fun__eq1,axiom,
% 0.29/0.66 ! [A: name,X: pi,Y: pi] :
% 0.29/0.66 ( ( ( abs_fun_name_pi @ A @ X )
% 0.29/0.66 = ( abs_fun_name_pi @ A @ Y ) )
% 0.29/0.66 = ( X = Y ) ) ).
% 0.29/0.66
% 0.29/0.66 % abs_fun_eq1
% 0.29/0.66 thf(fact_181_pi_Ostrong__inducts,axiom,
% 0.29/0.66 ! [P: late_subject > pi > $o,Z: late_subject,Pi2: pi] :
% 0.29/0.66 ( ! [Z2: late_subject] : ( P @ Z2 @ piNil )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: late_subject] :
% 0.29/0.66 ( ! [Za: late_subject] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( output @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Pi: pi,Z2: late_subject] :
% 0.29/0.66 ( ! [Za: late_subject] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( tau @ Pi ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: late_subject] :
% 0.29/0.66 ( ( fresh_717452603ubject @ Name22 @ Z2 )
% 0.29/0.66 => ( ( fresh_name_name @ Name22 @ Name1 )
% 0.29/0.66 => ( ! [Za: late_subject] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( input @ Name1 @ Name22 @ Pi ) ) ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: late_subject] :
% 0.29/0.66 ( ! [Za: late_subject] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( match @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: late_subject] :
% 0.29/0.66 ( ! [Za: late_subject] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( mismatch @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Pi13: pi,Pi24: pi,Z2: late_subject] :
% 0.29/0.66 ( ! [Za: late_subject] : ( P @ Za @ Pi13 )
% 0.29/0.66 => ( ! [Za: late_subject] : ( P @ Za @ Pi24 )
% 0.29/0.66 => ( P @ Z2 @ ( sum @ Pi13 @ Pi24 ) ) ) )
% 0.29/0.66 => ( ! [Pi13: pi,Pi24: pi,Z2: late_subject] :
% 0.29/0.66 ( ! [Za: late_subject] : ( P @ Za @ Pi13 )
% 0.29/0.66 => ( ! [Za: late_subject] : ( P @ Za @ Pi24 )
% 0.29/0.66 => ( P @ Z2 @ ( par @ Pi13 @ Pi24 ) ) ) )
% 0.29/0.66 => ( ! [Name: name,Pi: pi,Z2: late_subject] :
% 0.29/0.66 ( ( fresh_717452603ubject @ Name @ Z2 )
% 0.29/0.66 => ( ! [Za: late_subject] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( res @ Name @ Pi ) ) ) )
% 0.29/0.66 => ( ! [Pi: pi,Z2: late_subject] :
% 0.29/0.66 ( ! [Za: late_subject] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( bang @ Pi ) ) )
% 0.29/0.66 => ( P @ Z @ Pi2 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.strong_inducts
% 0.29/0.66 thf(fact_182_pi_Ostrong__inducts,axiom,
% 0.29/0.66 ! [P: late_freeRes > pi > $o,Z: late_freeRes,Pi2: pi] :
% 0.29/0.66 ( ! [Z2: late_freeRes] : ( P @ Z2 @ piNil )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: late_freeRes] :
% 0.29/0.66 ( ! [Za: late_freeRes] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( output @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Pi: pi,Z2: late_freeRes] :
% 0.29/0.66 ( ! [Za: late_freeRes] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( tau @ Pi ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: late_freeRes] :
% 0.29/0.66 ( ( fresh_1641682979reeRes @ Name22 @ Z2 )
% 0.29/0.66 => ( ( fresh_name_name @ Name22 @ Name1 )
% 0.29/0.66 => ( ! [Za: late_freeRes] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( input @ Name1 @ Name22 @ Pi ) ) ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: late_freeRes] :
% 0.29/0.66 ( ! [Za: late_freeRes] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( match @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: late_freeRes] :
% 0.29/0.66 ( ! [Za: late_freeRes] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( mismatch @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Pi13: pi,Pi24: pi,Z2: late_freeRes] :
% 0.29/0.66 ( ! [Za: late_freeRes] : ( P @ Za @ Pi13 )
% 0.29/0.66 => ( ! [Za: late_freeRes] : ( P @ Za @ Pi24 )
% 0.29/0.66 => ( P @ Z2 @ ( sum @ Pi13 @ Pi24 ) ) ) )
% 0.29/0.66 => ( ! [Pi13: pi,Pi24: pi,Z2: late_freeRes] :
% 0.29/0.66 ( ! [Za: late_freeRes] : ( P @ Za @ Pi13 )
% 0.29/0.66 => ( ! [Za: late_freeRes] : ( P @ Za @ Pi24 )
% 0.29/0.66 => ( P @ Z2 @ ( par @ Pi13 @ Pi24 ) ) ) )
% 0.29/0.66 => ( ! [Name: name,Pi: pi,Z2: late_freeRes] :
% 0.29/0.66 ( ( fresh_1641682979reeRes @ Name @ Z2 )
% 0.29/0.66 => ( ! [Za: late_freeRes] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( res @ Name @ Pi ) ) ) )
% 0.29/0.66 => ( ! [Pi: pi,Z2: late_freeRes] :
% 0.29/0.66 ( ! [Za: late_freeRes] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( bang @ Pi ) ) )
% 0.29/0.66 => ( P @ Z @ Pi2 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.strong_inducts
% 0.29/0.66 thf(fact_183_pi_Ostrong__inducts,axiom,
% 0.29/0.66 ! [P: name > pi > $o,Z: name,Pi2: pi] :
% 0.29/0.66 ( ! [Z2: name] : ( P @ Z2 @ piNil )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: name] :
% 0.29/0.66 ( ! [Za: name] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( output @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Pi: pi,Z2: name] :
% 0.29/0.66 ( ! [Za: name] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( tau @ Pi ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: name] :
% 0.29/0.66 ( ( fresh_name_name @ Name22 @ Z2 )
% 0.29/0.66 => ( ( fresh_name_name @ Name22 @ Name1 )
% 0.29/0.66 => ( ! [Za: name] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( input @ Name1 @ Name22 @ Pi ) ) ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: name] :
% 0.29/0.66 ( ! [Za: name] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( match @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: name] :
% 0.29/0.66 ( ! [Za: name] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( mismatch @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Pi13: pi,Pi24: pi,Z2: name] :
% 0.29/0.66 ( ! [Za: name] : ( P @ Za @ Pi13 )
% 0.29/0.66 => ( ! [Za: name] : ( P @ Za @ Pi24 )
% 0.29/0.66 => ( P @ Z2 @ ( sum @ Pi13 @ Pi24 ) ) ) )
% 0.29/0.66 => ( ! [Pi13: pi,Pi24: pi,Z2: name] :
% 0.29/0.66 ( ! [Za: name] : ( P @ Za @ Pi13 )
% 0.29/0.66 => ( ! [Za: name] : ( P @ Za @ Pi24 )
% 0.29/0.66 => ( P @ Z2 @ ( par @ Pi13 @ Pi24 ) ) ) )
% 0.29/0.66 => ( ! [Name: name,Pi: pi,Z2: name] :
% 0.29/0.66 ( ( fresh_name_name @ Name @ Z2 )
% 0.29/0.66 => ( ! [Za: name] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( res @ Name @ Pi ) ) ) )
% 0.29/0.66 => ( ! [Pi: pi,Z2: name] :
% 0.29/0.66 ( ! [Za: name] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( bang @ Pi ) ) )
% 0.29/0.66 => ( P @ Z @ Pi2 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.strong_inducts
% 0.29/0.66 thf(fact_184_pi_Ostrong__inducts,axiom,
% 0.29/0.66 ! [P: pi > pi > $o,Z: pi,Pi2: pi] :
% 0.29/0.66 ( ! [Z2: pi] : ( P @ Z2 @ piNil )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: pi] :
% 0.29/0.66 ( ! [Za: pi] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( output @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Pi: pi,Z2: pi] :
% 0.29/0.66 ( ! [Za: pi] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( tau @ Pi ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: pi] :
% 0.29/0.66 ( ( fresh_name_pi @ Name22 @ Z2 )
% 0.29/0.66 => ( ( fresh_name_name @ Name22 @ Name1 )
% 0.29/0.66 => ( ! [Za: pi] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( input @ Name1 @ Name22 @ Pi ) ) ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: pi] :
% 0.29/0.66 ( ! [Za: pi] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( match @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: pi] :
% 0.29/0.66 ( ! [Za: pi] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( mismatch @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Pi13: pi,Pi24: pi,Z2: pi] :
% 0.29/0.66 ( ! [Za: pi] : ( P @ Za @ Pi13 )
% 0.29/0.66 => ( ! [Za: pi] : ( P @ Za @ Pi24 )
% 0.29/0.66 => ( P @ Z2 @ ( sum @ Pi13 @ Pi24 ) ) ) )
% 0.29/0.66 => ( ! [Pi13: pi,Pi24: pi,Z2: pi] :
% 0.29/0.66 ( ! [Za: pi] : ( P @ Za @ Pi13 )
% 0.29/0.66 => ( ! [Za: pi] : ( P @ Za @ Pi24 )
% 0.29/0.66 => ( P @ Z2 @ ( par @ Pi13 @ Pi24 ) ) ) )
% 0.29/0.66 => ( ! [Name: name,Pi: pi,Z2: pi] :
% 0.29/0.66 ( ( fresh_name_pi @ Name @ Z2 )
% 0.29/0.66 => ( ! [Za: pi] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( res @ Name @ Pi ) ) ) )
% 0.29/0.66 => ( ! [Pi: pi,Z2: pi] :
% 0.29/0.66 ( ! [Za: pi] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( bang @ Pi ) ) )
% 0.29/0.66 => ( P @ Z @ Pi2 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.strong_inducts
% 0.29/0.66 thf(fact_185_pi_Ostrong__induct,axiom,
% 0.29/0.66 ! [P: late_subject > pi > $o,Z: late_subject,Pi2: pi] :
% 0.29/0.66 ( ! [Z2: late_subject] : ( P @ Z2 @ piNil )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: late_subject] :
% 0.29/0.66 ( ! [Za: late_subject] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( output @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Pi: pi,Z2: late_subject] :
% 0.29/0.66 ( ! [Za: late_subject] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( tau @ Pi ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: late_subject] :
% 0.29/0.66 ( ( fresh_717452603ubject @ Name22 @ Z2 )
% 0.29/0.66 => ( ( fresh_name_name @ Name22 @ Name1 )
% 0.29/0.66 => ( ! [Za: late_subject] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( input @ Name1 @ Name22 @ Pi ) ) ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: late_subject] :
% 0.29/0.66 ( ! [Za: late_subject] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( match @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: late_subject] :
% 0.29/0.66 ( ! [Za: late_subject] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( mismatch @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Pi13: pi,Pi24: pi,Z2: late_subject] :
% 0.29/0.66 ( ! [Za: late_subject] : ( P @ Za @ Pi13 )
% 0.29/0.66 => ( ! [Za: late_subject] : ( P @ Za @ Pi24 )
% 0.29/0.66 => ( P @ Z2 @ ( sum @ Pi13 @ Pi24 ) ) ) )
% 0.29/0.66 => ( ! [Pi13: pi,Pi24: pi,Z2: late_subject] :
% 0.29/0.66 ( ! [Za: late_subject] : ( P @ Za @ Pi13 )
% 0.29/0.66 => ( ! [Za: late_subject] : ( P @ Za @ Pi24 )
% 0.29/0.66 => ( P @ Z2 @ ( par @ Pi13 @ Pi24 ) ) ) )
% 0.29/0.66 => ( ! [Name: name,Pi: pi,Z2: late_subject] :
% 0.29/0.66 ( ( fresh_717452603ubject @ Name @ Z2 )
% 0.29/0.66 => ( ! [Za: late_subject] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( res @ Name @ Pi ) ) ) )
% 0.29/0.66 => ( ! [Pi: pi,Z2: late_subject] :
% 0.29/0.66 ( ! [Za: late_subject] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( bang @ Pi ) ) )
% 0.29/0.66 => ( P @ Z @ Pi2 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.strong_induct
% 0.29/0.66 thf(fact_186_pi_Ostrong__induct,axiom,
% 0.29/0.66 ! [P: late_freeRes > pi > $o,Z: late_freeRes,Pi2: pi] :
% 0.29/0.66 ( ! [Z2: late_freeRes] : ( P @ Z2 @ piNil )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: late_freeRes] :
% 0.29/0.66 ( ! [Za: late_freeRes] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( output @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Pi: pi,Z2: late_freeRes] :
% 0.29/0.66 ( ! [Za: late_freeRes] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( tau @ Pi ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: late_freeRes] :
% 0.29/0.66 ( ( fresh_1641682979reeRes @ Name22 @ Z2 )
% 0.29/0.66 => ( ( fresh_name_name @ Name22 @ Name1 )
% 0.29/0.66 => ( ! [Za: late_freeRes] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( input @ Name1 @ Name22 @ Pi ) ) ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: late_freeRes] :
% 0.29/0.66 ( ! [Za: late_freeRes] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( match @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: late_freeRes] :
% 0.29/0.66 ( ! [Za: late_freeRes] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( mismatch @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Pi13: pi,Pi24: pi,Z2: late_freeRes] :
% 0.29/0.66 ( ! [Za: late_freeRes] : ( P @ Za @ Pi13 )
% 0.29/0.66 => ( ! [Za: late_freeRes] : ( P @ Za @ Pi24 )
% 0.29/0.66 => ( P @ Z2 @ ( sum @ Pi13 @ Pi24 ) ) ) )
% 0.29/0.66 => ( ! [Pi13: pi,Pi24: pi,Z2: late_freeRes] :
% 0.29/0.66 ( ! [Za: late_freeRes] : ( P @ Za @ Pi13 )
% 0.29/0.66 => ( ! [Za: late_freeRes] : ( P @ Za @ Pi24 )
% 0.29/0.66 => ( P @ Z2 @ ( par @ Pi13 @ Pi24 ) ) ) )
% 0.29/0.66 => ( ! [Name: name,Pi: pi,Z2: late_freeRes] :
% 0.29/0.66 ( ( fresh_1641682979reeRes @ Name @ Z2 )
% 0.29/0.66 => ( ! [Za: late_freeRes] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( res @ Name @ Pi ) ) ) )
% 0.29/0.66 => ( ! [Pi: pi,Z2: late_freeRes] :
% 0.29/0.66 ( ! [Za: late_freeRes] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( bang @ Pi ) ) )
% 0.29/0.66 => ( P @ Z @ Pi2 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.strong_induct
% 0.29/0.66 thf(fact_187_pi_Ostrong__induct,axiom,
% 0.29/0.66 ! [P: name > pi > $o,Z: name,Pi2: pi] :
% 0.29/0.66 ( ! [Z2: name] : ( P @ Z2 @ piNil )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: name] :
% 0.29/0.66 ( ! [Za: name] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( output @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Pi: pi,Z2: name] :
% 0.29/0.66 ( ! [Za: name] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( tau @ Pi ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: name] :
% 0.29/0.66 ( ( fresh_name_name @ Name22 @ Z2 )
% 0.29/0.66 => ( ( fresh_name_name @ Name22 @ Name1 )
% 0.29/0.66 => ( ! [Za: name] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( input @ Name1 @ Name22 @ Pi ) ) ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: name] :
% 0.29/0.66 ( ! [Za: name] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( match @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: name] :
% 0.29/0.66 ( ! [Za: name] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( mismatch @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Pi13: pi,Pi24: pi,Z2: name] :
% 0.29/0.66 ( ! [Za: name] : ( P @ Za @ Pi13 )
% 0.29/0.66 => ( ! [Za: name] : ( P @ Za @ Pi24 )
% 0.29/0.66 => ( P @ Z2 @ ( sum @ Pi13 @ Pi24 ) ) ) )
% 0.29/0.66 => ( ! [Pi13: pi,Pi24: pi,Z2: name] :
% 0.29/0.66 ( ! [Za: name] : ( P @ Za @ Pi13 )
% 0.29/0.66 => ( ! [Za: name] : ( P @ Za @ Pi24 )
% 0.29/0.66 => ( P @ Z2 @ ( par @ Pi13 @ Pi24 ) ) ) )
% 0.29/0.66 => ( ! [Name: name,Pi: pi,Z2: name] :
% 0.29/0.66 ( ( fresh_name_name @ Name @ Z2 )
% 0.29/0.66 => ( ! [Za: name] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( res @ Name @ Pi ) ) ) )
% 0.29/0.66 => ( ! [Pi: pi,Z2: name] :
% 0.29/0.66 ( ! [Za: name] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( bang @ Pi ) ) )
% 0.29/0.66 => ( P @ Z @ Pi2 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.strong_induct
% 0.29/0.66 thf(fact_188_pi_Ostrong__induct,axiom,
% 0.29/0.66 ! [P: pi > pi > $o,Z: pi,Pi2: pi] :
% 0.29/0.66 ( ! [Z2: pi] : ( P @ Z2 @ piNil )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: pi] :
% 0.29/0.66 ( ! [Za: pi] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( output @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Pi: pi,Z2: pi] :
% 0.29/0.66 ( ! [Za: pi] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( tau @ Pi ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: pi] :
% 0.29/0.66 ( ( fresh_name_pi @ Name22 @ Z2 )
% 0.29/0.66 => ( ( fresh_name_name @ Name22 @ Name1 )
% 0.29/0.66 => ( ! [Za: pi] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( input @ Name1 @ Name22 @ Pi ) ) ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: pi] :
% 0.29/0.66 ( ! [Za: pi] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( match @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi,Z2: pi] :
% 0.29/0.66 ( ! [Za: pi] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( mismatch @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Pi13: pi,Pi24: pi,Z2: pi] :
% 0.29/0.66 ( ! [Za: pi] : ( P @ Za @ Pi13 )
% 0.29/0.66 => ( ! [Za: pi] : ( P @ Za @ Pi24 )
% 0.29/0.66 => ( P @ Z2 @ ( sum @ Pi13 @ Pi24 ) ) ) )
% 0.29/0.66 => ( ! [Pi13: pi,Pi24: pi,Z2: pi] :
% 0.29/0.66 ( ! [Za: pi] : ( P @ Za @ Pi13 )
% 0.29/0.66 => ( ! [Za: pi] : ( P @ Za @ Pi24 )
% 0.29/0.66 => ( P @ Z2 @ ( par @ Pi13 @ Pi24 ) ) ) )
% 0.29/0.66 => ( ! [Name: name,Pi: pi,Z2: pi] :
% 0.29/0.66 ( ( fresh_name_pi @ Name @ Z2 )
% 0.29/0.66 => ( ! [Za: pi] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( res @ Name @ Pi ) ) ) )
% 0.29/0.66 => ( ! [Pi: pi,Z2: pi] :
% 0.29/0.66 ( ! [Za: pi] : ( P @ Za @ Pi )
% 0.29/0.66 => ( P @ Z2 @ ( bang @ Pi ) ) )
% 0.29/0.66 => ( P @ Z @ Pi2 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.strong_induct
% 0.29/0.66 thf(fact_189_pi_Ofresh_I10_J,axiom,
% 0.29/0.66 ! [A: name,X1: pi] :
% 0.29/0.66 ( ( fresh_name_pi @ A @ ( bang @ X1 ) )
% 0.29/0.66 = ( fresh_name_pi @ A @ X1 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.fresh(10)
% 0.29/0.66 thf(fact_190_pi_Ofresh_I7_J,axiom,
% 0.29/0.66 ! [A: name,X2: pi,X1: pi] :
% 0.29/0.66 ( ( fresh_name_pi @ A @ ( sum @ X2 @ X1 ) )
% 0.29/0.66 = ( ( fresh_name_pi @ A @ X2 )
% 0.29/0.66 & ( fresh_name_pi @ A @ X1 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.fresh(7)
% 0.29/0.66 thf(fact_191_simps_I10_J,axiom,
% 0.29/0.66 ! [P: pi,C: name,D: name] :
% 0.29/0.66 ( ( subs @ ( bang @ P ) @ C @ D )
% 0.29/0.66 = ( bang @ ( subs @ P @ C @ D ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % simps(10)
% 0.29/0.66 thf(fact_192_pi_Ofresh_I1_J,axiom,
% 0.29/0.66 ! [A: name] : ( fresh_name_pi @ A @ piNil ) ).
% 0.29/0.66
% 0.29/0.66 % pi.fresh(1)
% 0.29/0.66 thf(fact_193_simps_I7_J,axiom,
% 0.29/0.66 ! [P: pi,Q: pi,C: name,D: name] :
% 0.29/0.66 ( ( subs @ ( sum @ P @ Q ) @ C @ D )
% 0.29/0.66 = ( sum @ ( subs @ P @ C @ D ) @ ( subs @ Q @ C @ D ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % simps(7)
% 0.29/0.66 thf(fact_194_simps_I1_J,axiom,
% 0.29/0.66 ! [C: name,D: name] :
% 0.29/0.66 ( ( subs @ piNil @ C @ D )
% 0.29/0.66 = piNil ) ).
% 0.29/0.66
% 0.29/0.66 % simps(1)
% 0.29/0.66 thf(fact_195_pi_Odistinct_I59_J,axiom,
% 0.29/0.66 ! [Name12: name,Name23: name,Pi2: pi,Pi3: pi] :
% 0.29/0.66 ( ( input @ Name12 @ Name23 @ Pi2 )
% 0.29/0.66 != ( bang @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(59)
% 0.29/0.66 thf(fact_196_pi_Odistinct_I33_J,axiom,
% 0.29/0.66 ! [Name12: name,Name23: name,Pi2: pi,Pi3: pi] :
% 0.29/0.66 ( ( output @ Name12 @ Name23 @ Pi2 )
% 0.29/0.66 != ( bang @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(33)
% 0.29/0.66 thf(fact_197_sumCases,axiom,
% 0.29/0.66 ! [P: pi,Q: pi,Rs: late_residual] :
% 0.29/0.66 ( ( late_transitions @ ( sum @ P @ Q ) @ Rs )
% 0.29/0.66 => ( ~ ( late_transitions @ P @ Rs )
% 0.29/0.66 => ( late_transitions @ Q @ Rs ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % sumCases
% 0.29/0.66 thf(fact_198_sumCases_H,axiom,
% 0.29/0.66 ! [P: pi,Q: pi,Rs: late_residual] :
% 0.29/0.66 ( ( late_transitions @ ( sum @ P @ Q ) @ Rs )
% 0.29/0.66 => ( ~ ( late_transitions @ P @ Rs )
% 0.29/0.66 => ( late_transitions @ Q @ Rs ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % sumCases'
% 0.29/0.66 thf(fact_199_Sum1,axiom,
% 0.29/0.66 ! [P: pi,Rs: late_residual,Q: pi] :
% 0.29/0.66 ( ( late_transitions @ P @ Rs )
% 0.29/0.66 => ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) ).
% 0.29/0.66
% 0.29/0.66 % Sum1
% 0.29/0.66 thf(fact_200_Sum2,axiom,
% 0.29/0.66 ! [Q: pi,Rs: late_residual,P: pi] :
% 0.29/0.66 ( ( late_transitions @ Q @ Rs )
% 0.29/0.66 => ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) ).
% 0.29/0.66
% 0.29/0.66 % Sum2
% 0.29/0.66 thf(fact_201_pi_Odistinct_I47_J,axiom,
% 0.29/0.66 ! [Pi2: pi,Pi3: pi] :
% 0.29/0.66 ( ( tau @ Pi2 )
% 0.29/0.66 != ( bang @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(47)
% 0.29/0.66 thf(fact_202_pi_Odistinct_I79_J,axiom,
% 0.29/0.66 ! [Pi12: pi,Pi23: pi,Pi1: pi,Pi22: pi] :
% 0.29/0.66 ( ( sum @ Pi12 @ Pi23 )
% 0.29/0.66 != ( par @ Pi1 @ Pi22 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(79)
% 0.29/0.66 thf(fact_203_pi_Odistinct_I81_J,axiom,
% 0.29/0.66 ! [Pi12: pi,Pi23: pi,Name3: name,Pi3: pi] :
% 0.29/0.66 ( ( sum @ Pi12 @ Pi23 )
% 0.29/0.66 != ( res @ Name3 @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(81)
% 0.29/0.66 thf(fact_204_pi_Odistinct_I53_J,axiom,
% 0.29/0.66 ! [Name12: name,Name23: name,Pi2: pi,Pi1: pi,Pi22: pi] :
% 0.29/0.66 ( ( input @ Name12 @ Name23 @ Pi2 )
% 0.29/0.66 != ( sum @ Pi1 @ Pi22 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(53)
% 0.29/0.66 thf(fact_205_pi_Odistinct_I27_J,axiom,
% 0.29/0.66 ! [Name12: name,Name23: name,Pi2: pi,Pi1: pi,Pi22: pi] :
% 0.29/0.66 ( ( output @ Name12 @ Name23 @ Pi2 )
% 0.29/0.66 != ( sum @ Pi1 @ Pi22 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(27)
% 0.29/0.66 thf(fact_206_pi_Odistinct_I41_J,axiom,
% 0.29/0.66 ! [Pi2: pi,Pi1: pi,Pi22: pi] :
% 0.29/0.66 ( ( tau @ Pi2 )
% 0.29/0.66 != ( sum @ Pi1 @ Pi22 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(41)
% 0.29/0.66 thf(fact_207_nilCases_H,axiom,
% 0.29/0.66 ! [Rs: late_residual] :
% 0.29/0.66 ~ ( late_transitions @ piNil @ Rs ) ).
% 0.29/0.66
% 0.29/0.66 % nilCases'
% 0.29/0.66 thf(fact_208_zeroTrans,axiom,
% 0.29/0.66 ! [Rs: late_residual] :
% 0.29/0.66 ~ ( late_transitions @ piNil @ Rs ) ).
% 0.29/0.66
% 0.29/0.66 % zeroTrans
% 0.29/0.66 thf(fact_209_pi_Odistinct_I13_J,axiom,
% 0.29/0.66 ! [Pi1: pi,Pi22: pi] :
% 0.29/0.66 ( piNil
% 0.29/0.66 != ( par @ Pi1 @ Pi22 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(13)
% 0.29/0.66 thf(fact_210_pi_Odistinct_I15_J,axiom,
% 0.29/0.66 ! [Name3: name,Pi3: pi] :
% 0.29/0.66 ( piNil
% 0.29/0.66 != ( res @ Name3 @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(15)
% 0.29/0.66 thf(fact_211_pi_Odistinct_I11_J,axiom,
% 0.29/0.66 ! [Pi1: pi,Pi22: pi] :
% 0.29/0.66 ( piNil
% 0.29/0.66 != ( sum @ Pi1 @ Pi22 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(11)
% 0.29/0.66 thf(fact_212_pi_Odistinct_I17_J,axiom,
% 0.29/0.66 ! [Pi3: pi] :
% 0.29/0.66 ( piNil
% 0.29/0.66 != ( bang @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(17)
% 0.29/0.66 thf(fact_213_pi_Odistinct_I83_J,axiom,
% 0.29/0.66 ! [Pi12: pi,Pi23: pi,Pi3: pi] :
% 0.29/0.66 ( ( sum @ Pi12 @ Pi23 )
% 0.29/0.66 != ( bang @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(83)
% 0.29/0.66 thf(fact_214_pi_Oinject_I6_J,axiom,
% 0.29/0.66 ! [X2: pi,X1: pi,Y2: pi,Y1: pi] :
% 0.29/0.66 ( ( ( sum @ X2 @ X1 )
% 0.29/0.66 = ( sum @ Y2 @ Y1 ) )
% 0.29/0.66 = ( ( X2 = Y2 )
% 0.29/0.66 & ( X1 = Y1 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.inject(6)
% 0.29/0.66 thf(fact_215_pi_Oinject_I9_J,axiom,
% 0.29/0.66 ! [X1: pi,Y1: pi] :
% 0.29/0.66 ( ( ( bang @ X1 )
% 0.29/0.66 = ( bang @ Y1 ) )
% 0.29/0.66 = ( X1 = Y1 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.inject(9)
% 0.29/0.66 thf(fact_216_pi_Odistinct_I89_J,axiom,
% 0.29/0.66 ! [Name2: name,Pi2: pi,Pi3: pi] :
% 0.29/0.66 ( ( res @ Name2 @ Pi2 )
% 0.29/0.66 != ( bang @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(89)
% 0.29/0.66 thf(fact_217_pi_Odistinct_I87_J,axiom,
% 0.29/0.66 ! [Pi12: pi,Pi23: pi,Pi3: pi] :
% 0.29/0.66 ( ( par @ Pi12 @ Pi23 )
% 0.29/0.66 != ( bang @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(87)
% 0.29/0.66 thf(fact_218_pi_Odistinct_I3_J,axiom,
% 0.29/0.66 ! [Pi3: pi] :
% 0.29/0.66 ( piNil
% 0.29/0.66 != ( tau @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(3)
% 0.29/0.66 thf(fact_219_pi_Odistinct_I1_J,axiom,
% 0.29/0.66 ! [Name13: name,Name24: name,Pi3: pi] :
% 0.29/0.66 ( piNil
% 0.29/0.66 != ( output @ Name13 @ Name24 @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(1)
% 0.29/0.66 thf(fact_220_pi_Odistinct_I5_J,axiom,
% 0.29/0.66 ! [Name13: name,Name24: name,Pi3: pi] :
% 0.29/0.66 ( piNil
% 0.29/0.66 != ( input @ Name13 @ Name24 @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(5)
% 0.29/0.66 thf(fact_221_pi_Odistinct_I77_J,axiom,
% 0.29/0.66 ! [Name12: name,Name23: name,Pi2: pi,Pi3: pi] :
% 0.29/0.66 ( ( mismatch @ Name12 @ Name23 @ Pi2 )
% 0.29/0.66 != ( bang @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(77)
% 0.29/0.66 thf(fact_222_pi_Odistinct_I71_J,axiom,
% 0.29/0.66 ! [Name12: name,Name23: name,Pi2: pi,Pi1: pi,Pi22: pi] :
% 0.29/0.66 ( ( mismatch @ Name12 @ Name23 @ Pi2 )
% 0.29/0.66 != ( sum @ Pi1 @ Pi22 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(71)
% 0.29/0.66 thf(fact_223_pi_Odistinct_I69_J,axiom,
% 0.29/0.66 ! [Name12: name,Name23: name,Pi2: pi,Pi3: pi] :
% 0.29/0.66 ( ( match @ Name12 @ Name23 @ Pi2 )
% 0.29/0.66 != ( bang @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(69)
% 0.29/0.66 thf(fact_224_pi_Odistinct_I63_J,axiom,
% 0.29/0.66 ! [Name12: name,Name23: name,Pi2: pi,Pi1: pi,Pi22: pi] :
% 0.29/0.66 ( ( match @ Name12 @ Name23 @ Pi2 )
% 0.29/0.66 != ( sum @ Pi1 @ Pi22 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(63)
% 0.29/0.66 thf(fact_225_pi_Odistinct_I9_J,axiom,
% 0.29/0.66 ! [Name13: name,Name24: name,Pi3: pi] :
% 0.29/0.66 ( piNil
% 0.29/0.66 != ( mismatch @ Name13 @ Name24 @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(9)
% 0.29/0.66 thf(fact_226_pi_Odistinct_I7_J,axiom,
% 0.29/0.66 ! [Name13: name,Name24: name,Pi3: pi] :
% 0.29/0.66 ( piNil
% 0.29/0.66 != ( match @ Name13 @ Name24 @ Pi3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.distinct(7)
% 0.29/0.66 thf(fact_227_Bang,axiom,
% 0.29/0.66 ! [P: pi,Rs: late_residual] :
% 0.29/0.66 ( ( late_transitions @ ( par @ P @ ( bang @ P ) ) @ Rs )
% 0.29/0.66 => ( late_transitions @ ( bang @ P ) @ Rs ) ) ).
% 0.29/0.66
% 0.29/0.66 % Bang
% 0.29/0.66 thf(fact_228_bangCases,axiom,
% 0.29/0.66 ! [P: pi,Rs: late_residual] :
% 0.29/0.66 ( ( late_transitions @ ( bang @ P ) @ Rs )
% 0.29/0.66 => ~ ! [P3: pi] :
% 0.29/0.66 ( ( ( bang @ P )
% 0.29/0.66 = ( bang @ P3 ) )
% 0.29/0.66 => ~ ( late_transitions @ ( par @ P3 @ ( bang @ P3 ) ) @ Rs ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % bangCases
% 0.29/0.66 thf(fact_229_resZeroTrans,axiom,
% 0.29/0.66 ! [X: name,Rs: late_residual] :
% 0.29/0.66 ~ ( late_transitions @ ( res @ X @ piNil ) @ Rs ) ).
% 0.29/0.66
% 0.29/0.66 % resZeroTrans
% 0.29/0.66 thf(fact_230_pi_Oinducts,axiom,
% 0.29/0.66 ! [P: pi > $o,Pi2: pi] :
% 0.29/0.66 ( ( P @ piNil )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi] :
% 0.29/0.66 ( ( P @ Pi )
% 0.29/0.66 => ( P @ ( output @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Pi: pi] :
% 0.29/0.66 ( ( P @ Pi )
% 0.29/0.66 => ( P @ ( tau @ Pi ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi] :
% 0.29/0.66 ( ( P @ Pi )
% 0.29/0.66 => ( P @ ( input @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi] :
% 0.29/0.66 ( ( P @ Pi )
% 0.29/0.66 => ( P @ ( match @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Name1: name,Name22: name,Pi: pi] :
% 0.29/0.66 ( ( P @ Pi )
% 0.29/0.66 => ( P @ ( mismatch @ Name1 @ Name22 @ Pi ) ) )
% 0.29/0.66 => ( ! [Pi13: pi,Pi24: pi] :
% 0.29/0.66 ( ( P @ Pi13 )
% 0.29/0.66 => ( ( P @ Pi24 )
% 0.29/0.66 => ( P @ ( sum @ Pi13 @ Pi24 ) ) ) )
% 0.29/0.66 => ( ! [Pi13: pi,Pi24: pi] :
% 0.29/0.66 ( ( P @ Pi13 )
% 0.29/0.66 => ( ( P @ Pi24 )
% 0.29/0.66 => ( P @ ( par @ Pi13 @ Pi24 ) ) ) )
% 0.29/0.66 => ( ! [Name: name,Pi: pi] :
% 0.29/0.66 ( ( P @ Pi )
% 0.29/0.66 => ( P @ ( res @ Name @ Pi ) ) )
% 0.29/0.66 => ( ! [Pi: pi] :
% 0.29/0.66 ( ( P @ Pi )
% 0.29/0.66 => ( P @ ( bang @ Pi ) ) )
% 0.29/0.66 => ( P @ Pi2 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.inducts
% 0.29/0.66 thf(fact_231_aux2,axiom,
% 0.29/0.66 ! [P: pi] : ( late_bangPred @ P @ ( par @ P @ ( bang @ P ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % aux2
% 0.29/0.66 thf(fact_232_bangPred_Ocases,axiom,
% 0.29/0.66 ! [A1: pi,A22: pi] :
% 0.29/0.66 ( ( late_bangPred @ A1 @ A22 )
% 0.29/0.66 => ( ( A22
% 0.29/0.66 != ( bang @ A1 ) )
% 0.29/0.66 => ( A22
% 0.29/0.66 = ( par @ A1 @ ( bang @ A1 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % bangPred.cases
% 0.29/0.66 thf(fact_233_bangPred_Osimps,axiom,
% 0.29/0.66 ( late_bangPred
% 0.29/0.66 = ( ^ [A12: pi,A23: pi] :
% 0.29/0.66 ( ? [P5: pi] :
% 0.29/0.66 ( ( A12 = P5 )
% 0.29/0.66 & ( A23
% 0.29/0.66 = ( bang @ P5 ) ) )
% 0.29/0.66 | ? [P5: pi] :
% 0.29/0.66 ( ( A12 = P5 )
% 0.29/0.66 & ( A23
% 0.29/0.66 = ( par @ P5 @ ( bang @ P5 ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % bangPred.simps
% 0.29/0.66 thf(fact_234_aux1,axiom,
% 0.29/0.66 ! [P: pi] : ( late_bangPred @ P @ ( bang @ P ) ) ).
% 0.29/0.66
% 0.29/0.66 % aux1
% 0.29/0.66 thf(fact_235_bangPred_Oinducts,axiom,
% 0.29/0.66 ! [X1: pi,X2: pi,P: pi > pi > $o] :
% 0.29/0.66 ( ( late_bangPred @ X1 @ X2 )
% 0.29/0.66 => ( ! [P3: pi] : ( P @ P3 @ ( bang @ P3 ) )
% 0.29/0.66 => ( ! [P3: pi] : ( P @ P3 @ ( par @ P3 @ ( bang @ P3 ) ) )
% 0.29/0.66 => ( P @ X1 @ X2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % bangPred.inducts
% 0.29/0.66 thf(fact_236_subs__def,axiom,
% 0.29/0.66 ( subs
% 0.29/0.66 = ( ^ [X3: pi,C3: name,D2: name] :
% 0.29/0.66 ( pi_rec_pi @ piNil
% 0.29/0.66 @ ^ [A4: name,B3: name,P5: pi] : ( output @ ( subst_name @ A4 @ C3 @ D2 ) @ ( subst_name @ B3 @ C3 @ D2 ) )
% 0.29/0.66 @ ^ [P5: pi] : tau
% 0.29/0.66 @ ^ [A4: name,Y5: name,P5: pi] : ( input @ ( subst_name @ A4 @ C3 @ D2 ) @ Y5 )
% 0.29/0.66 @ ^ [A4: name,B3: name,P5: pi] : ( match @ ( subst_name @ A4 @ C3 @ D2 ) @ ( subst_name @ B3 @ C3 @ D2 ) )
% 0.29/0.66 @ ^ [A4: name,B3: name,P5: pi] : ( mismatch @ ( subst_name @ A4 @ C3 @ D2 ) @ ( subst_name @ B3 @ C3 @ D2 ) )
% 0.29/0.66 @ ^ [P5: pi,Q5: pi] : sum
% 0.29/0.66 @ ^ [P5: pi,Q5: pi] : par
% 0.29/0.66 @ ^ [Y5: name,P5: pi] : ( res @ Y5 )
% 0.29/0.66 @ ^ [P5: pi] : bang
% 0.29/0.66 @ X3 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % subs_def
% 0.29/0.66 thf(fact_237_abs__fresh_I2_J,axiom,
% 0.29/0.66 ! [X: late_subject,B: name,A: name] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1174290467t_name @ X ) )
% 0.29/0.66 => ( ( fresh_728038529ubject @ B @ ( abs_fu1904601852ubject @ A @ X ) )
% 0.29/0.66 = ( ( B = A )
% 0.29/0.66 | ( fresh_717452603ubject @ B @ X ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % abs_fresh(2)
% 0.29/0.66 thf(fact_238_abs__fresh_I2_J,axiom,
% 0.29/0.66 ! [X: late_freeRes,B: name,A: name] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1228270395s_name @ X ) )
% 0.29/0.66 => ( ( fresh_785364841reeRes @ B @ ( abs_fu681348580reeRes @ A @ X ) )
% 0.29/0.66 = ( ( B = A )
% 0.29/0.66 | ( fresh_1641682979reeRes @ B @ X ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % abs_fresh(2)
% 0.29/0.66 thf(fact_239_abs__fresh_I2_J,axiom,
% 0.29/0.66 ! [X: name,B: name,A: name] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_name_name @ X ) )
% 0.29/0.66 => ( ( fresh_1093033124n_name @ B @ ( abs_fun_name_name @ A @ X ) )
% 0.29/0.66 = ( ( B = A )
% 0.29/0.66 | ( fresh_name_name @ B @ X ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % abs_fresh(2)
% 0.29/0.66 thf(fact_240_abs__fresh_I2_J,axiom,
% 0.29/0.66 ! [X: pi,B: name,A: name] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_pi_name @ X ) )
% 0.29/0.66 => ( ( fresh_543891186ion_pi @ B @ ( abs_fun_name_pi @ A @ X ) )
% 0.29/0.66 = ( ( B = A )
% 0.29/0.66 | ( fresh_name_pi @ B @ X ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % abs_fresh(2)
% 0.29/0.66 thf(fact_241_abs__fresh_I2_J,axiom,
% 0.29/0.66 ! [X: name > noption_pi,B: name,A: name] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_n468628396i_name @ X ) )
% 0.29/0.66 => ( ( fresh_92802872ion_pi @ B @ ( abs_fu1614711987ion_pi @ A @ X ) )
% 0.29/0.66 = ( ( B = A )
% 0.29/0.66 | ( fresh_543891186ion_pi @ B @ X ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % abs_fresh(2)
% 0.29/0.66 thf(fact_242_abs__fresh_I2_J,axiom,
% 0.29/0.66 ! [X: name > noption_Late_subject,B: name,A: name] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_n1630792207t_name @ X ) )
% 0.29/0.66 => ( ( fresh_600418535ubject @ B @ ( abs_fu1705804544ubject @ A @ X ) )
% 0.29/0.66 = ( ( B = A )
% 0.29/0.66 | ( fresh_728038529ubject @ B @ X ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % abs_fresh(2)
% 0.29/0.66 thf(fact_243_abs__fresh_I2_J,axiom,
% 0.29/0.66 ! [X: name > noption_Late_freeRes,B: name,A: name] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_n252280103s_name @ X ) )
% 0.29/0.66 => ( ( fresh_1215331279reeRes @ B @ ( abs_fu1763130856reeRes @ A @ X ) )
% 0.29/0.66 = ( ( B = A )
% 0.29/0.66 | ( fresh_785364841reeRes @ B @ X ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % abs_fresh(2)
% 0.29/0.66 thf(fact_244_abs__fresh_I2_J,axiom,
% 0.29/0.66 ! [X: name > noption_name,B: name,A: name] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_n352473082e_name @ X ) )
% 0.29/0.66 => ( ( fresh_1742414570n_name @ B @ ( abs_fu1394407909n_name @ A @ X ) )
% 0.29/0.66 = ( ( B = A )
% 0.29/0.66 | ( fresh_1093033124n_name @ B @ X ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % abs_fresh(2)
% 0.29/0.66 thf(fact_245_abs__fresh_I2_J,axiom,
% 0.29/0.66 ! [X: name > noptio354675977ion_pi,B: name,A: name] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_n1003758744i_name @ X ) )
% 0.29/0.66 => ( ( fresh_1575363742ion_pi @ B @ ( abs_fu446471607ion_pi @ A @ X ) )
% 0.29/0.66 = ( ( B = A )
% 0.29/0.66 | ( fresh_92802872ion_pi @ B @ X ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % abs_fresh(2)
% 0.29/0.66 thf(fact_246_abs__fresh_I2_J,axiom,
% 0.29/0.66 ! [X: late_freeRes > pi > name > noption_pi,B: name,A: name] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L635439693i_name @ X ) )
% 0.29/0.66 => ( ( fresh_481208489ion_pi @ B @ ( abs_fu1682643010ion_pi @ A @ X ) )
% 0.29/0.66 = ( ( B = A )
% 0.29/0.66 | ( fresh_7927363ion_pi @ B @ X ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % abs_fresh(2)
% 0.29/0.66 thf(fact_247_exists__fresh_H,axiom,
% 0.29/0.66 ! [X: late_subject] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1174290467t_name @ X ) )
% 0.29/0.66 => ? [C2: name] : ( fresh_717452603ubject @ C2 @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % exists_fresh'
% 0.29/0.66 thf(fact_248_exists__fresh_H,axiom,
% 0.29/0.66 ! [X: late_freeRes] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1228270395s_name @ X ) )
% 0.29/0.66 => ? [C2: name] : ( fresh_1641682979reeRes @ C2 @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % exists_fresh'
% 0.29/0.66 thf(fact_249_exists__fresh_H,axiom,
% 0.29/0.66 ! [X: name] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_name_name @ X ) )
% 0.29/0.66 => ? [C2: name] : ( fresh_name_name @ C2 @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % exists_fresh'
% 0.29/0.66 thf(fact_250_exists__fresh_H,axiom,
% 0.29/0.66 ! [X: pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_pi_name @ X ) )
% 0.29/0.66 => ? [C2: name] : ( fresh_name_pi @ C2 @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % exists_fresh'
% 0.29/0.66 thf(fact_251_exists__fresh_H,axiom,
% 0.29/0.66 ! [X: name > noption_pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_n468628396i_name @ X ) )
% 0.29/0.66 => ? [C2: name] : ( fresh_543891186ion_pi @ C2 @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % exists_fresh'
% 0.29/0.66 thf(fact_252_exists__fresh_H,axiom,
% 0.29/0.66 ! [X: name > noption_Late_subject] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_n1630792207t_name @ X ) )
% 0.29/0.66 => ? [C2: name] : ( fresh_728038529ubject @ C2 @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % exists_fresh'
% 0.29/0.66 thf(fact_253_exists__fresh_H,axiom,
% 0.29/0.66 ! [X: name > noption_Late_freeRes] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_n252280103s_name @ X ) )
% 0.29/0.66 => ? [C2: name] : ( fresh_785364841reeRes @ C2 @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % exists_fresh'
% 0.29/0.66 thf(fact_254_exists__fresh_H,axiom,
% 0.29/0.66 ! [X: name > noption_name] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_n352473082e_name @ X ) )
% 0.29/0.66 => ? [C2: name] : ( fresh_1093033124n_name @ C2 @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % exists_fresh'
% 0.29/0.66 thf(fact_255_exists__fresh_H,axiom,
% 0.29/0.66 ! [X: name > noptio354675977ion_pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_n1003758744i_name @ X ) )
% 0.29/0.66 => ? [C2: name] : ( fresh_92802872ion_pi @ C2 @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % exists_fresh'
% 0.29/0.66 thf(fact_256_exists__fresh_H,axiom,
% 0.29/0.66 ! [X: late_freeRes > pi > name > noption_pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L635439693i_name @ X ) )
% 0.29/0.66 => ? [C2: name] : ( fresh_7927363ion_pi @ C2 @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % exists_fresh'
% 0.29/0.66 thf(fact_257_exists__fresh,axiom,
% 0.29/0.66 ! [X: late_subject] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1174290467t_name @ X ) )
% 0.29/0.66 => ~ ! [C2: name] :
% 0.29/0.66 ~ ( fresh_717452603ubject @ C2 @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % exists_fresh
% 0.29/0.66 thf(fact_258_exists__fresh,axiom,
% 0.29/0.66 ! [X: late_freeRes] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1228270395s_name @ X ) )
% 0.29/0.66 => ~ ! [C2: name] :
% 0.29/0.66 ~ ( fresh_1641682979reeRes @ C2 @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % exists_fresh
% 0.29/0.66 thf(fact_259_exists__fresh,axiom,
% 0.29/0.66 ! [X: name] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_name_name @ X ) )
% 0.29/0.66 => ~ ! [C2: name] :
% 0.29/0.66 ~ ( fresh_name_name @ C2 @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % exists_fresh
% 0.29/0.66 thf(fact_260_exists__fresh,axiom,
% 0.29/0.66 ! [X: pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_pi_name @ X ) )
% 0.29/0.66 => ~ ! [C2: name] :
% 0.29/0.66 ~ ( fresh_name_pi @ C2 @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % exists_fresh
% 0.29/0.66 thf(fact_261_exists__fresh,axiom,
% 0.29/0.66 ! [X: name > noption_pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_n468628396i_name @ X ) )
% 0.29/0.66 => ~ ! [C2: name] :
% 0.29/0.66 ~ ( fresh_543891186ion_pi @ C2 @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % exists_fresh
% 0.29/0.66 thf(fact_262_exists__fresh,axiom,
% 0.29/0.66 ! [X: name > noption_Late_subject] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_n1630792207t_name @ X ) )
% 0.29/0.66 => ~ ! [C2: name] :
% 0.29/0.66 ~ ( fresh_728038529ubject @ C2 @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % exists_fresh
% 0.29/0.66 thf(fact_263_exists__fresh,axiom,
% 0.29/0.66 ! [X: name > noption_Late_freeRes] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_n252280103s_name @ X ) )
% 0.29/0.66 => ~ ! [C2: name] :
% 0.29/0.66 ~ ( fresh_785364841reeRes @ C2 @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % exists_fresh
% 0.29/0.66 thf(fact_264_exists__fresh,axiom,
% 0.29/0.66 ! [X: name > noption_name] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_n352473082e_name @ X ) )
% 0.29/0.66 => ~ ! [C2: name] :
% 0.29/0.66 ~ ( fresh_1093033124n_name @ C2 @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % exists_fresh
% 0.29/0.66 thf(fact_265_exists__fresh,axiom,
% 0.29/0.66 ! [X: name > noptio354675977ion_pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_n1003758744i_name @ X ) )
% 0.29/0.66 => ~ ! [C2: name] :
% 0.29/0.66 ~ ( fresh_92802872ion_pi @ C2 @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % exists_fresh
% 0.29/0.66 thf(fact_266_exists__fresh,axiom,
% 0.29/0.66 ! [X: late_freeRes > pi > name > noption_pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L635439693i_name @ X ) )
% 0.29/0.66 => ~ ! [C2: name] :
% 0.29/0.66 ~ ( fresh_7927363ion_pi @ C2 @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % exists_fresh
% 0.29/0.66 thf(fact_267_supp__fresh__iff,axiom,
% 0.29/0.66 ( supp_n1630792207t_name
% 0.29/0.66 = ( ^ [X3: name > noption_Late_subject] :
% 0.29/0.66 ( collect_name
% 0.29/0.66 @ ^ [A4: name] :
% 0.29/0.66 ~ ( fresh_728038529ubject @ A4 @ X3 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % supp_fresh_iff
% 0.29/0.66 thf(fact_268_supp__fresh__iff,axiom,
% 0.29/0.66 ( supp_n252280103s_name
% 0.29/0.66 = ( ^ [X3: name > noption_Late_freeRes] :
% 0.29/0.66 ( collect_name
% 0.29/0.66 @ ^ [A4: name] :
% 0.29/0.66 ~ ( fresh_785364841reeRes @ A4 @ X3 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % supp_fresh_iff
% 0.29/0.66 thf(fact_269_supp__fresh__iff,axiom,
% 0.29/0.66 ( supp_n352473082e_name
% 0.29/0.66 = ( ^ [X3: name > noption_name] :
% 0.29/0.66 ( collect_name
% 0.29/0.66 @ ^ [A4: name] :
% 0.29/0.66 ~ ( fresh_1093033124n_name @ A4 @ X3 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % supp_fresh_iff
% 0.29/0.66 thf(fact_270_supp__fresh__iff,axiom,
% 0.29/0.66 ( supp_n1003758744i_name
% 0.29/0.66 = ( ^ [X3: name > noptio354675977ion_pi] :
% 0.29/0.66 ( collect_name
% 0.29/0.66 @ ^ [A4: name] :
% 0.29/0.66 ~ ( fresh_92802872ion_pi @ A4 @ X3 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % supp_fresh_iff
% 0.29/0.66 thf(fact_271_supp__fresh__iff,axiom,
% 0.29/0.66 ( supp_L1174290467t_name
% 0.29/0.66 = ( ^ [X3: late_subject] :
% 0.29/0.66 ( collect_name
% 0.29/0.66 @ ^ [A4: name] :
% 0.29/0.66 ~ ( fresh_717452603ubject @ A4 @ X3 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % supp_fresh_iff
% 0.29/0.66 thf(fact_272_supp__fresh__iff,axiom,
% 0.29/0.66 ( supp_L1228270395s_name
% 0.29/0.66 = ( ^ [X3: late_freeRes] :
% 0.29/0.66 ( collect_name
% 0.29/0.66 @ ^ [A4: name] :
% 0.29/0.66 ~ ( fresh_1641682979reeRes @ A4 @ X3 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % supp_fresh_iff
% 0.29/0.66 thf(fact_273_supp__fresh__iff,axiom,
% 0.29/0.66 ( supp_name_name
% 0.29/0.66 = ( ^ [X3: name] :
% 0.29/0.66 ( collect_name
% 0.29/0.66 @ ^ [A4: name] :
% 0.29/0.66 ~ ( fresh_name_name @ A4 @ X3 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % supp_fresh_iff
% 0.29/0.66 thf(fact_274_supp__fresh__iff,axiom,
% 0.29/0.66 ( supp_pi_name
% 0.29/0.66 = ( ^ [X3: pi] :
% 0.29/0.66 ( collect_name
% 0.29/0.66 @ ^ [A4: name] :
% 0.29/0.66 ~ ( fresh_name_pi @ A4 @ X3 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % supp_fresh_iff
% 0.29/0.66 thf(fact_275_supp__fresh__iff,axiom,
% 0.29/0.66 ( supp_n468628396i_name
% 0.29/0.66 = ( ^ [X3: name > noption_pi] :
% 0.29/0.66 ( collect_name
% 0.29/0.66 @ ^ [A4: name] :
% 0.29/0.66 ~ ( fresh_543891186ion_pi @ A4 @ X3 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % supp_fresh_iff
% 0.29/0.66 thf(fact_276_fresh__def,axiom,
% 0.29/0.66 ( fresh_717452603ubject
% 0.29/0.66 = ( ^ [A4: name,X3: late_subject] :
% 0.29/0.66 ~ ( member_name @ A4 @ ( supp_L1174290467t_name @ X3 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % fresh_def
% 0.29/0.66 thf(fact_277_fresh__def,axiom,
% 0.29/0.66 ( fresh_1641682979reeRes
% 0.29/0.66 = ( ^ [A4: name,X3: late_freeRes] :
% 0.29/0.66 ~ ( member_name @ A4 @ ( supp_L1228270395s_name @ X3 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % fresh_def
% 0.29/0.66 thf(fact_278_fresh__def,axiom,
% 0.29/0.66 ( fresh_name_name
% 0.29/0.66 = ( ^ [A4: name,X3: name] :
% 0.29/0.66 ~ ( member_name @ A4 @ ( supp_name_name @ X3 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % fresh_def
% 0.29/0.66 thf(fact_279_fresh__def,axiom,
% 0.29/0.66 ( fresh_name_pi
% 0.29/0.66 = ( ^ [A4: name,X3: pi] :
% 0.29/0.66 ~ ( member_name @ A4 @ ( supp_pi_name @ X3 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % fresh_def
% 0.29/0.66 thf(fact_280_fresh__def,axiom,
% 0.29/0.66 ( fresh_543891186ion_pi
% 0.29/0.66 = ( ^ [A4: name,X3: name > noption_pi] :
% 0.29/0.66 ~ ( member_name @ A4 @ ( supp_n468628396i_name @ X3 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % fresh_def
% 0.29/0.66 thf(fact_281_pi_Osupp_I9_J,axiom,
% 0.29/0.66 ! [X1: name,X2: pi] :
% 0.29/0.66 ( ( supp_pi_name @ ( res @ X1 @ X2 ) )
% 0.29/0.66 = ( supp_n468628396i_name @ ( abs_fun_name_pi @ X1 @ X2 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.supp(9)
% 0.29/0.66 thf(fact_282_pi_Osupp_I3_J,axiom,
% 0.29/0.66 ! [X1: pi] :
% 0.29/0.66 ( ( supp_pi_name @ ( tau @ X1 ) )
% 0.29/0.66 = ( supp_pi_name @ X1 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.supp(3)
% 0.29/0.66 thf(fact_283_subject_Osupp_I2_J,axiom,
% 0.29/0.66 ! [X1: name] :
% 0.29/0.66 ( ( supp_L1174290467t_name @ ( late_BoundOutputS @ X1 ) )
% 0.29/0.66 = ( supp_name_name @ X1 ) ) ).
% 0.29/0.66
% 0.29/0.66 % subject.supp(2)
% 0.29/0.66 thf(fact_284_subject_Osupp_I1_J,axiom,
% 0.29/0.66 ! [X1: name] :
% 0.29/0.66 ( ( supp_L1174290467t_name @ ( late_InputS @ X1 ) )
% 0.29/0.66 = ( supp_name_name @ X1 ) ) ).
% 0.29/0.66
% 0.29/0.66 % subject.supp(1)
% 0.29/0.66 thf(fact_285_pi_Osupp_I10_J,axiom,
% 0.29/0.66 ! [X1: pi] :
% 0.29/0.66 ( ( supp_pi_name @ ( bang @ X1 ) )
% 0.29/0.66 = ( supp_pi_name @ X1 ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.supp(10)
% 0.29/0.66 thf(fact_286_fs__name1,axiom,
% 0.29/0.66 ! [X: late_subject] : ( finite_finite_name @ ( supp_L1174290467t_name @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % fs_name1
% 0.29/0.66 thf(fact_287_fs__name1,axiom,
% 0.29/0.66 ! [X: late_freeRes] : ( finite_finite_name @ ( supp_L1228270395s_name @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % fs_name1
% 0.29/0.66 thf(fact_288_fs__name1,axiom,
% 0.29/0.66 ! [X: name] : ( finite_finite_name @ ( supp_name_name @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % fs_name1
% 0.29/0.66 thf(fact_289_fs__name1,axiom,
% 0.29/0.66 ! [X: pi] : ( finite_finite_name @ ( supp_pi_name @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % fs_name1
% 0.29/0.66 thf(fact_290_residual_Orecs_I2_J,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > late_subject,F2: late_freeRes > pi > late_subject,Z: late_subject,P: late_subject > $o,FreeRes3: late_freeRes,Pi2: pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1144036959t_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1759672260t_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1174290467t_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] :
% 0.29/0.66 ( ( fresh_795910143ubject @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ Z )
% 0.29/0.66 => ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_717452603ubject @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ( ( late_r1347955901ubject @ F1 @ F2 @ ( late_FreeR @ FreeRes3 @ Pi2 ) )
% 0.29/0.66 = ( F2 @ FreeRes3 @ Pi2 ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.recs(2)
% 0.29/0.66 thf(fact_291_residual_Orecs_I2_J,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > late_freeRes,F2: late_freeRes > pi > late_freeRes,Z: late_subject,P: late_freeRes > $o,FreeRes3: late_freeRes,Pi2: pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1178477943s_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L381160156s_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1174290467t_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] :
% 0.29/0.66 ( ( fresh_660367079reeRes @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ Z )
% 0.29/0.66 => ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_1641682979reeRes @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ( ( late_r124702629reeRes @ F1 @ F2 @ ( late_FreeR @ FreeRes3 @ Pi2 ) )
% 0.29/0.66 = ( F2 @ FreeRes3 @ Pi2 ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.recs(2)
% 0.29/0.66 thf(fact_292_residual_Orecs_I2_J,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > name,F2: late_freeRes > pi > name,Z: late_subject,P: name > $o,FreeRes3: late_freeRes,Pi2: pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L538372628e_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L926407557e_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1174290467t_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] :
% 0.29/0.66 ( ( fresh_621211324i_name @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ Z )
% 0.29/0.66 => ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_name_name @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ( ( late_r1174711868c_name @ F1 @ F2 @ ( late_FreeR @ FreeRes3 @ Pi2 ) )
% 0.29/0.66 = ( F2 @ FreeRes3 @ Pi2 ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.recs(2)
% 0.29/0.66 thf(fact_293_residual_Orecs_I2_J,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > pi,F2: late_freeRes > pi > pi,Z: late_subject,P: pi > $o,FreeRes3: late_freeRes,Pi2: pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L729745222i_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L2052723895i_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1174290467t_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] :
% 0.29/0.66 ( ( fresh_1438126218_pi_pi @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ Z )
% 0.29/0.66 => ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_name_pi @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ( ( late_residual_rec_pi @ F1 @ F2 @ ( late_FreeR @ FreeRes3 @ Pi2 ) )
% 0.29/0.66 = ( F2 @ FreeRes3 @ Pi2 ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.recs(2)
% 0.29/0.66 thf(fact_294_residual_Orecs_I2_J,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > late_subject,F2: late_freeRes > pi > late_subject,Z: late_freeRes,P: late_subject > $o,FreeRes3: late_freeRes,Pi2: pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1144036959t_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1759672260t_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1228270395s_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] :
% 0.29/0.66 ( ( fresh_795910143ubject @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_1641682979reeRes @ X22 @ Z )
% 0.29/0.66 => ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_717452603ubject @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ( ( late_r1347955901ubject @ F1 @ F2 @ ( late_FreeR @ FreeRes3 @ Pi2 ) )
% 0.29/0.66 = ( F2 @ FreeRes3 @ Pi2 ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.recs(2)
% 0.29/0.66 thf(fact_295_residual_Orecs_I2_J,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > late_freeRes,F2: late_freeRes > pi > late_freeRes,Z: late_freeRes,P: late_freeRes > $o,FreeRes3: late_freeRes,Pi2: pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1178477943s_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L381160156s_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1228270395s_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] :
% 0.29/0.66 ( ( fresh_660367079reeRes @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_1641682979reeRes @ X22 @ Z )
% 0.29/0.66 => ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_1641682979reeRes @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ( ( late_r124702629reeRes @ F1 @ F2 @ ( late_FreeR @ FreeRes3 @ Pi2 ) )
% 0.29/0.66 = ( F2 @ FreeRes3 @ Pi2 ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.recs(2)
% 0.29/0.66 thf(fact_296_residual_Orecs_I2_J,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > name,F2: late_freeRes > pi > name,Z: late_freeRes,P: name > $o,FreeRes3: late_freeRes,Pi2: pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L538372628e_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L926407557e_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1228270395s_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] :
% 0.29/0.66 ( ( fresh_621211324i_name @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_1641682979reeRes @ X22 @ Z )
% 0.29/0.66 => ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_name_name @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ( ( late_r1174711868c_name @ F1 @ F2 @ ( late_FreeR @ FreeRes3 @ Pi2 ) )
% 0.29/0.66 = ( F2 @ FreeRes3 @ Pi2 ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.recs(2)
% 0.29/0.66 thf(fact_297_residual_Orecs_I2_J,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > pi,F2: late_freeRes > pi > pi,Z: late_freeRes,P: pi > $o,FreeRes3: late_freeRes,Pi2: pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L729745222i_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L2052723895i_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1228270395s_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] :
% 0.29/0.66 ( ( fresh_1438126218_pi_pi @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_1641682979reeRes @ X22 @ Z )
% 0.29/0.66 => ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_name_pi @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ( ( late_residual_rec_pi @ F1 @ F2 @ ( late_FreeR @ FreeRes3 @ Pi2 ) )
% 0.29/0.66 = ( F2 @ FreeRes3 @ Pi2 ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.recs(2)
% 0.29/0.66 thf(fact_298_residual_Orecs_I2_J,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > late_subject,F2: late_freeRes > pi > late_subject,Z: name,P: late_subject > $o,FreeRes3: late_freeRes,Pi2: pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1144036959t_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1759672260t_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_name_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] :
% 0.29/0.66 ( ( fresh_795910143ubject @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_name_name @ X22 @ Z )
% 0.29/0.66 => ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_717452603ubject @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ( ( late_r1347955901ubject @ F1 @ F2 @ ( late_FreeR @ FreeRes3 @ Pi2 ) )
% 0.29/0.66 = ( F2 @ FreeRes3 @ Pi2 ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.recs(2)
% 0.29/0.66 thf(fact_299_residual_Orecs_I2_J,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > late_freeRes,F2: late_freeRes > pi > late_freeRes,Z: name,P: late_freeRes > $o,FreeRes3: late_freeRes,Pi2: pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1178477943s_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L381160156s_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_name_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] :
% 0.29/0.66 ( ( fresh_660367079reeRes @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_name_name @ X22 @ Z )
% 0.29/0.66 => ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_1641682979reeRes @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ( ( late_r124702629reeRes @ F1 @ F2 @ ( late_FreeR @ FreeRes3 @ Pi2 ) )
% 0.29/0.66 = ( F2 @ FreeRes3 @ Pi2 ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.recs(2)
% 0.29/0.66 thf(fact_300_residual_Orecs_I1_J,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > late_subject,F2: late_freeRes > pi > late_subject,Z: late_subject,P: late_subject > $o,Name2: name,Subject2: late_subject,Pi2: pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1144036959t_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1759672260t_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1174290467t_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] :
% 0.29/0.66 ( ( fresh_795910143ubject @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ Z )
% 0.29/0.66 => ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_717452603ubject @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ( ( fresh_795910143ubject @ Name2 @ F1 )
% 0.29/0.66 => ( ( fresh_198785932ubject @ Name2 @ F2 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ Name2 @ Subject2 )
% 0.29/0.66 => ( ( late_r1347955901ubject @ F1 @ F2 @ ( late_BoundR @ Subject2 @ Name2 @ Pi2 ) )
% 0.29/0.66 = ( F1 @ Subject2 @ Name2 @ Pi2 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.recs(1)
% 0.29/0.66 thf(fact_301_residual_Orecs_I1_J,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > late_freeRes,F2: late_freeRes > pi > late_freeRes,Z: late_subject,P: late_freeRes > $o,Name2: name,Subject2: late_subject,Pi2: pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1178477943s_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L381160156s_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1174290467t_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] :
% 0.29/0.66 ( ( fresh_660367079reeRes @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ Z )
% 0.29/0.66 => ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_1641682979reeRes @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ( ( fresh_660367079reeRes @ Name2 @ F1 )
% 0.29/0.66 => ( ( fresh_256112244reeRes @ Name2 @ F2 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ Name2 @ Subject2 )
% 0.29/0.66 => ( ( late_r124702629reeRes @ F1 @ F2 @ ( late_BoundR @ Subject2 @ Name2 @ Pi2 ) )
% 0.29/0.66 = ( F1 @ Subject2 @ Name2 @ Pi2 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.recs(1)
% 0.29/0.66 thf(fact_302_residual_Orecs_I1_J,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > name,F2: late_freeRes > pi > name,Z: late_subject,P: name > $o,Name2: name,Subject2: late_subject,Pi2: pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L538372628e_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L926407557e_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1174290467t_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] :
% 0.29/0.66 ( ( fresh_621211324i_name @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ Z )
% 0.29/0.66 => ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_name_name @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ( ( fresh_621211324i_name @ Name2 @ F1 )
% 0.29/0.66 => ( ( fresh_1030632537i_name @ Name2 @ F2 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ Name2 @ Subject2 )
% 0.29/0.66 => ( ( late_r1174711868c_name @ F1 @ F2 @ ( late_BoundR @ Subject2 @ Name2 @ Pi2 ) )
% 0.29/0.66 = ( F1 @ Subject2 @ Name2 @ Pi2 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.recs(1)
% 0.29/0.66 thf(fact_303_residual_Orecs_I1_J,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > pi,F2: late_freeRes > pi > pi,Z: late_subject,P: pi > $o,Name2: name,Subject2: late_subject,Pi2: pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L729745222i_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L2052723895i_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1174290467t_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] :
% 0.29/0.66 ( ( fresh_1438126218_pi_pi @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ Z )
% 0.29/0.66 => ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_name_pi @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ( ( fresh_1438126218_pi_pi @ Name2 @ F1 )
% 0.29/0.66 => ( ( fresh_1011532071_pi_pi @ Name2 @ F2 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ Name2 @ Subject2 )
% 0.29/0.66 => ( ( late_residual_rec_pi @ F1 @ F2 @ ( late_BoundR @ Subject2 @ Name2 @ Pi2 ) )
% 0.29/0.66 = ( F1 @ Subject2 @ Name2 @ Pi2 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.recs(1)
% 0.29/0.66 thf(fact_304_residual_Orecs_I1_J,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > late_subject,F2: late_freeRes > pi > late_subject,Z: late_freeRes,P: late_subject > $o,Name2: name,Subject2: late_subject,Pi2: pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1144036959t_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1759672260t_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1228270395s_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] :
% 0.29/0.66 ( ( fresh_795910143ubject @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_1641682979reeRes @ X22 @ Z )
% 0.29/0.66 => ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_717452603ubject @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ( ( fresh_795910143ubject @ Name2 @ F1 )
% 0.29/0.66 => ( ( fresh_198785932ubject @ Name2 @ F2 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ Name2 @ Subject2 )
% 0.29/0.66 => ( ( late_r1347955901ubject @ F1 @ F2 @ ( late_BoundR @ Subject2 @ Name2 @ Pi2 ) )
% 0.29/0.66 = ( F1 @ Subject2 @ Name2 @ Pi2 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.recs(1)
% 0.29/0.66 thf(fact_305_residual_Orecs_I1_J,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > late_freeRes,F2: late_freeRes > pi > late_freeRes,Z: late_freeRes,P: late_freeRes > $o,Name2: name,Subject2: late_subject,Pi2: pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1178477943s_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L381160156s_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1228270395s_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] :
% 0.29/0.66 ( ( fresh_660367079reeRes @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_1641682979reeRes @ X22 @ Z )
% 0.29/0.66 => ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_1641682979reeRes @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ( ( fresh_660367079reeRes @ Name2 @ F1 )
% 0.29/0.66 => ( ( fresh_256112244reeRes @ Name2 @ F2 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ Name2 @ Subject2 )
% 0.29/0.66 => ( ( late_r124702629reeRes @ F1 @ F2 @ ( late_BoundR @ Subject2 @ Name2 @ Pi2 ) )
% 0.29/0.66 = ( F1 @ Subject2 @ Name2 @ Pi2 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.recs(1)
% 0.29/0.66 thf(fact_306_residual_Orecs_I1_J,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > name,F2: late_freeRes > pi > name,Z: late_freeRes,P: name > $o,Name2: name,Subject2: late_subject,Pi2: pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L538372628e_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L926407557e_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1228270395s_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] :
% 0.29/0.66 ( ( fresh_621211324i_name @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_1641682979reeRes @ X22 @ Z )
% 0.29/0.66 => ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_name_name @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ( ( fresh_621211324i_name @ Name2 @ F1 )
% 0.29/0.66 => ( ( fresh_1030632537i_name @ Name2 @ F2 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ Name2 @ Subject2 )
% 0.29/0.66 => ( ( late_r1174711868c_name @ F1 @ F2 @ ( late_BoundR @ Subject2 @ Name2 @ Pi2 ) )
% 0.29/0.66 = ( F1 @ Subject2 @ Name2 @ Pi2 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.recs(1)
% 0.29/0.66 thf(fact_307_residual_Orecs_I1_J,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > pi,F2: late_freeRes > pi > pi,Z: late_freeRes,P: pi > $o,Name2: name,Subject2: late_subject,Pi2: pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L729745222i_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L2052723895i_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1228270395s_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] :
% 0.29/0.66 ( ( fresh_1438126218_pi_pi @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_1641682979reeRes @ X22 @ Z )
% 0.29/0.66 => ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_name_pi @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ( ( fresh_1438126218_pi_pi @ Name2 @ F1 )
% 0.29/0.66 => ( ( fresh_1011532071_pi_pi @ Name2 @ F2 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ Name2 @ Subject2 )
% 0.29/0.66 => ( ( late_residual_rec_pi @ F1 @ F2 @ ( late_BoundR @ Subject2 @ Name2 @ Pi2 ) )
% 0.29/0.66 = ( F1 @ Subject2 @ Name2 @ Pi2 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.recs(1)
% 0.29/0.66 thf(fact_308_residual_Orecs_I1_J,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > late_subject,F2: late_freeRes > pi > late_subject,Z: name,P: late_subject > $o,Name2: name,Subject2: late_subject,Pi2: pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1144036959t_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1759672260t_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_name_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] :
% 0.29/0.66 ( ( fresh_795910143ubject @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_name_name @ X22 @ Z )
% 0.29/0.66 => ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_717452603ubject @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ( ( fresh_795910143ubject @ Name2 @ F1 )
% 0.29/0.66 => ( ( fresh_198785932ubject @ Name2 @ F2 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ Name2 @ Subject2 )
% 0.29/0.66 => ( ( late_r1347955901ubject @ F1 @ F2 @ ( late_BoundR @ Subject2 @ Name2 @ Pi2 ) )
% 0.29/0.66 = ( F1 @ Subject2 @ Name2 @ Pi2 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.recs(1)
% 0.29/0.66 thf(fact_309_residual_Orecs_I1_J,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > late_freeRes,F2: late_freeRes > pi > late_freeRes,Z: name,P: late_freeRes > $o,Name2: name,Subject2: late_subject,Pi2: pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1178477943s_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L381160156s_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_name_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] :
% 0.29/0.66 ( ( fresh_660367079reeRes @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_name_name @ X22 @ Z )
% 0.29/0.66 => ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_1641682979reeRes @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ( ( fresh_660367079reeRes @ Name2 @ F1 )
% 0.29/0.66 => ( ( fresh_256112244reeRes @ Name2 @ F2 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ Name2 @ Subject2 )
% 0.29/0.66 => ( ( late_r124702629reeRes @ F1 @ F2 @ ( late_BoundR @ Subject2 @ Name2 @ Pi2 ) )
% 0.29/0.66 = ( F1 @ Subject2 @ Name2 @ Pi2 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.recs(1)
% 0.29/0.66 thf(fact_310_residual_Orec__fresh,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > late_subject,F2: late_freeRes > pi > late_subject,X: late_residual,Y: late_subject,A: name] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1144036959t_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1759672260t_name @ F2 ) )
% 0.29/0.66 => ( ( late_r689718217ubject @ F1 @ F2 @ X @ Y )
% 0.29/0.66 => ( ! [Y6: late_subject] :
% 0.29/0.66 ( ( late_r689718217ubject @ F1 @ F2 @ X @ Y6 )
% 0.29/0.66 => ( Y6 = Y ) )
% 0.29/0.66 => ( ( fresh_81631222sidual @ A @ X )
% 0.29/0.66 => ( ( fresh_795910143ubject @ A @ F1 )
% 0.29/0.66 => ( ( fresh_198785932ubject @ A @ F2 )
% 0.29/0.66 => ( fresh_717452603ubject @ A @ Y ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.rec_fresh
% 0.29/0.66 thf(fact_311_residual_Orec__fresh,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > late_freeRes,F2: late_freeRes > pi > late_freeRes,X: late_residual,Y: late_freeRes,A: name] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1178477943s_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L381160156s_name @ F2 ) )
% 0.29/0.66 => ( ( late_r1613948593reeRes @ F1 @ F2 @ X @ Y )
% 0.29/0.66 => ( ! [Y6: late_freeRes] :
% 0.29/0.66 ( ( late_r1613948593reeRes @ F1 @ F2 @ X @ Y6 )
% 0.29/0.66 => ( Y6 = Y ) )
% 0.29/0.66 => ( ( fresh_81631222sidual @ A @ X )
% 0.29/0.66 => ( ( fresh_660367079reeRes @ A @ F1 )
% 0.29/0.66 => ( ( fresh_256112244reeRes @ A @ F2 )
% 0.29/0.66 => ( fresh_1641682979reeRes @ A @ Y ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.rec_fresh
% 0.29/0.66 thf(fact_312_residual_Orec__fresh,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > name,F2: late_freeRes > pi > name,X: late_residual,Y: name,A: name] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L538372628e_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L926407557e_name @ F2 ) )
% 0.29/0.66 => ( ( late_r1742481968t_name @ F1 @ F2 @ X @ Y )
% 0.29/0.66 => ( ! [Y6: name] :
% 0.29/0.66 ( ( late_r1742481968t_name @ F1 @ F2 @ X @ Y6 )
% 0.29/0.66 => ( Y6 = Y ) )
% 0.29/0.66 => ( ( fresh_81631222sidual @ A @ X )
% 0.29/0.66 => ( ( fresh_621211324i_name @ A @ F1 )
% 0.29/0.66 => ( ( fresh_1030632537i_name @ A @ F2 )
% 0.29/0.66 => ( fresh_name_name @ A @ Y ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.rec_fresh
% 0.29/0.66 thf(fact_313_residual_Orec__fresh,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > pi,F2: late_freeRes > pi > pi,X: late_residual,Y: pi,A: name] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L729745222i_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L2052723895i_name @ F2 ) )
% 0.29/0.66 => ( ( late_r1261898622set_pi @ F1 @ F2 @ X @ Y )
% 0.29/0.66 => ( ! [Y6: pi] :
% 0.29/0.66 ( ( late_r1261898622set_pi @ F1 @ F2 @ X @ Y6 )
% 0.29/0.66 => ( Y6 = Y ) )
% 0.29/0.66 => ( ( fresh_81631222sidual @ A @ X )
% 0.29/0.66 => ( ( fresh_1438126218_pi_pi @ A @ F1 )
% 0.29/0.66 => ( ( fresh_1011532071_pi_pi @ A @ F2 )
% 0.29/0.66 => ( fresh_name_pi @ A @ Y ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.rec_fresh
% 0.29/0.66 thf(fact_314_residual_Orec__fresh,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > name > noption_pi,F2: late_freeRes > pi > name > noption_pi,X: late_residual,Y: name > noption_pi,A: name] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L3230824i_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L635439693i_name @ F2 ) )
% 0.29/0.66 => ( ( late_r750878080ion_pi @ F1 @ F2 @ X @ Y )
% 0.29/0.66 => ( ! [Y6: name > noption_pi] :
% 0.29/0.66 ( ( late_r750878080ion_pi @ F1 @ F2 @ X @ Y6 )
% 0.29/0.66 => ( Y6 = Y ) )
% 0.29/0.66 => ( ( fresh_81631222sidual @ A @ X )
% 0.29/0.66 => ( ( fresh_747777846ion_pi @ A @ F1 )
% 0.29/0.66 => ( ( fresh_7927363ion_pi @ A @ F2 )
% 0.29/0.66 => ( fresh_543891186ion_pi @ A @ Y ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.rec_fresh
% 0.29/0.66 thf(fact_315_residual_Orec__unique,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > late_subject,F2: late_freeRes > pi > late_subject,Z: late_subject,P: late_subject > $o,X: late_residual] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1144036959t_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1759672260t_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1174290467t_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name] :
% 0.29/0.66 ( ( fresh_795910143ubject @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ Z )
% 0.29/0.66 => ! [X33: pi] :
% 0.29/0.66 ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_717452603ubject @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ? [X4: late_subject] :
% 0.29/0.66 ( ( late_r689718217ubject @ F1 @ F2 @ X @ X4 )
% 0.29/0.66 & ! [Y7: late_subject] :
% 0.29/0.66 ( ( late_r689718217ubject @ F1 @ F2 @ X @ Y7 )
% 0.29/0.66 => ( Y7 = X4 ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.rec_unique
% 0.29/0.66 thf(fact_316_residual_Orec__unique,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > late_freeRes,F2: late_freeRes > pi > late_freeRes,Z: late_subject,P: late_freeRes > $o,X: late_residual] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1178477943s_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L381160156s_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1174290467t_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name] :
% 0.29/0.66 ( ( fresh_660367079reeRes @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ Z )
% 0.29/0.66 => ! [X33: pi] :
% 0.29/0.66 ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_1641682979reeRes @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ? [X4: late_freeRes] :
% 0.29/0.66 ( ( late_r1613948593reeRes @ F1 @ F2 @ X @ X4 )
% 0.29/0.66 & ! [Y7: late_freeRes] :
% 0.29/0.66 ( ( late_r1613948593reeRes @ F1 @ F2 @ X @ Y7 )
% 0.29/0.66 => ( Y7 = X4 ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.rec_unique
% 0.29/0.66 thf(fact_317_residual_Orec__unique,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > name,F2: late_freeRes > pi > name,Z: late_subject,P: name > $o,X: late_residual] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L538372628e_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L926407557e_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1174290467t_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name] :
% 0.29/0.66 ( ( fresh_621211324i_name @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ Z )
% 0.29/0.66 => ! [X33: pi] :
% 0.29/0.66 ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_name_name @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ? [X4: name] :
% 0.29/0.66 ( ( late_r1742481968t_name @ F1 @ F2 @ X @ X4 )
% 0.29/0.66 & ! [Y7: name] :
% 0.29/0.66 ( ( late_r1742481968t_name @ F1 @ F2 @ X @ Y7 )
% 0.29/0.66 => ( Y7 = X4 ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.rec_unique
% 0.29/0.66 thf(fact_318_residual_Orec__unique,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > pi,F2: late_freeRes > pi > pi,Z: late_subject,P: pi > $o,X: late_residual] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L729745222i_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L2052723895i_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1174290467t_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name] :
% 0.29/0.66 ( ( fresh_1438126218_pi_pi @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ Z )
% 0.29/0.66 => ! [X33: pi] :
% 0.29/0.66 ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_name_pi @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ? [X4: pi] :
% 0.29/0.66 ( ( late_r1261898622set_pi @ F1 @ F2 @ X @ X4 )
% 0.29/0.66 & ! [Y7: pi] :
% 0.29/0.66 ( ( late_r1261898622set_pi @ F1 @ F2 @ X @ Y7 )
% 0.29/0.66 => ( Y7 = X4 ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.rec_unique
% 0.29/0.66 thf(fact_319_residual_Orec__unique,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > late_subject,F2: late_freeRes > pi > late_subject,Z: late_freeRes,P: late_subject > $o,X: late_residual] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1144036959t_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1759672260t_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1228270395s_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name] :
% 0.29/0.66 ( ( fresh_795910143ubject @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_1641682979reeRes @ X22 @ Z )
% 0.29/0.66 => ! [X33: pi] :
% 0.29/0.66 ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_717452603ubject @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ? [X4: late_subject] :
% 0.29/0.66 ( ( late_r689718217ubject @ F1 @ F2 @ X @ X4 )
% 0.29/0.66 & ! [Y7: late_subject] :
% 0.29/0.66 ( ( late_r689718217ubject @ F1 @ F2 @ X @ Y7 )
% 0.29/0.66 => ( Y7 = X4 ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.rec_unique
% 0.29/0.66 thf(fact_320_residual_Orec__unique,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > late_freeRes,F2: late_freeRes > pi > late_freeRes,Z: late_freeRes,P: late_freeRes > $o,X: late_residual] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1178477943s_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L381160156s_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1228270395s_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name] :
% 0.29/0.66 ( ( fresh_660367079reeRes @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_1641682979reeRes @ X22 @ Z )
% 0.29/0.66 => ! [X33: pi] :
% 0.29/0.66 ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_1641682979reeRes @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ? [X4: late_freeRes] :
% 0.29/0.66 ( ( late_r1613948593reeRes @ F1 @ F2 @ X @ X4 )
% 0.29/0.66 & ! [Y7: late_freeRes] :
% 0.29/0.66 ( ( late_r1613948593reeRes @ F1 @ F2 @ X @ Y7 )
% 0.29/0.66 => ( Y7 = X4 ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.rec_unique
% 0.29/0.66 thf(fact_321_residual_Orec__unique,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > name,F2: late_freeRes > pi > name,Z: late_freeRes,P: name > $o,X: late_residual] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L538372628e_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L926407557e_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1228270395s_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name] :
% 0.29/0.66 ( ( fresh_621211324i_name @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_1641682979reeRes @ X22 @ Z )
% 0.29/0.66 => ! [X33: pi] :
% 0.29/0.66 ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_name_name @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ? [X4: name] :
% 0.29/0.66 ( ( late_r1742481968t_name @ F1 @ F2 @ X @ X4 )
% 0.29/0.66 & ! [Y7: name] :
% 0.29/0.66 ( ( late_r1742481968t_name @ F1 @ F2 @ X @ Y7 )
% 0.29/0.66 => ( Y7 = X4 ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.rec_unique
% 0.29/0.66 thf(fact_322_residual_Orec__unique,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > pi,F2: late_freeRes > pi > pi,Z: late_freeRes,P: pi > $o,X: late_residual] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L729745222i_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L2052723895i_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1228270395s_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name] :
% 0.29/0.66 ( ( fresh_1438126218_pi_pi @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_1641682979reeRes @ X22 @ Z )
% 0.29/0.66 => ! [X33: pi] :
% 0.29/0.66 ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_name_pi @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ? [X4: pi] :
% 0.29/0.66 ( ( late_r1261898622set_pi @ F1 @ F2 @ X @ X4 )
% 0.29/0.66 & ! [Y7: pi] :
% 0.29/0.66 ( ( late_r1261898622set_pi @ F1 @ F2 @ X @ Y7 )
% 0.29/0.66 => ( Y7 = X4 ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.rec_unique
% 0.29/0.66 thf(fact_323_residual_Orec__unique,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > late_subject,F2: late_freeRes > pi > late_subject,Z: name,P: late_subject > $o,X: late_residual] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1144036959t_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1759672260t_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_name_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name] :
% 0.29/0.66 ( ( fresh_795910143ubject @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_name_name @ X22 @ Z )
% 0.29/0.66 => ! [X33: pi] :
% 0.29/0.66 ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_717452603ubject @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ? [X4: late_subject] :
% 0.29/0.66 ( ( late_r689718217ubject @ F1 @ F2 @ X @ X4 )
% 0.29/0.66 & ! [Y7: late_subject] :
% 0.29/0.66 ( ( late_r689718217ubject @ F1 @ F2 @ X @ Y7 )
% 0.29/0.66 => ( Y7 = X4 ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.rec_unique
% 0.29/0.66 thf(fact_324_residual_Orec__unique,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > late_freeRes,F2: late_freeRes > pi > late_freeRes,Z: name,P: late_freeRes > $o,X: late_residual] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1178477943s_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L381160156s_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_name_name @ Z ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name,X33: pi] : ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( ! [X13: late_freeRes,X22: pi] : ( P @ ( F2 @ X13 @ X22 ) )
% 0.29/0.66 => ( ! [X13: late_subject,X22: name] :
% 0.29/0.66 ( ( fresh_660367079reeRes @ X22 @ F1 )
% 0.29/0.66 => ( ( fresh_717452603ubject @ X22 @ X13 )
% 0.29/0.66 => ( ( fresh_name_name @ X22 @ Z )
% 0.29/0.66 => ! [X33: pi] :
% 0.29/0.66 ( ( P @ ( F1 @ X13 @ X22 @ X33 ) )
% 0.29/0.66 => ( fresh_1641682979reeRes @ X22 @ ( F1 @ X13 @ X22 @ X33 ) ) ) ) ) )
% 0.29/0.66 => ? [X4: late_freeRes] :
% 0.29/0.66 ( ( late_r1613948593reeRes @ F1 @ F2 @ X @ X4 )
% 0.29/0.66 & ! [Y7: late_freeRes] :
% 0.29/0.66 ( ( late_r1613948593reeRes @ F1 @ F2 @ X @ Y7 )
% 0.29/0.66 => ( Y7 = X4 ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.rec_unique
% 0.29/0.66 thf(fact_325_residual_Orec__fin__supp,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > late_subject,F2: late_freeRes > pi > late_subject,X1: late_residual,Y1: late_subject] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1144036959t_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L1759672260t_name @ F2 ) )
% 0.29/0.66 => ( ( late_r689718217ubject @ F1 @ F2 @ X1 @ Y1 )
% 0.29/0.66 => ( finite_finite_name @ ( supp_L1174290467t_name @ Y1 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.rec_fin_supp
% 0.29/0.66 thf(fact_326_residual_Orec__fin__supp,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > late_freeRes,F2: late_freeRes > pi > late_freeRes,X1: late_residual,Y1: late_freeRes] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1178477943s_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L381160156s_name @ F2 ) )
% 0.29/0.66 => ( ( late_r1613948593reeRes @ F1 @ F2 @ X1 @ Y1 )
% 0.29/0.66 => ( finite_finite_name @ ( supp_L1228270395s_name @ Y1 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.rec_fin_supp
% 0.29/0.66 thf(fact_327_residual_Orec__fin__supp,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > name,F2: late_freeRes > pi > name,X1: late_residual,Y1: name] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L538372628e_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L926407557e_name @ F2 ) )
% 0.29/0.66 => ( ( late_r1742481968t_name @ F1 @ F2 @ X1 @ Y1 )
% 0.29/0.66 => ( finite_finite_name @ ( supp_name_name @ Y1 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.rec_fin_supp
% 0.29/0.66 thf(fact_328_residual_Orec__fin__supp,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > pi,F2: late_freeRes > pi > pi,X1: late_residual,Y1: pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L729745222i_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L2052723895i_name @ F2 ) )
% 0.29/0.66 => ( ( late_r1261898622set_pi @ F1 @ F2 @ X1 @ Y1 )
% 0.29/0.66 => ( finite_finite_name @ ( supp_pi_name @ Y1 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.rec_fin_supp
% 0.29/0.66 thf(fact_329_residual_Orec__fin__supp,axiom,
% 0.29/0.66 ! [F1: late_subject > name > pi > name > noption_pi,F2: late_freeRes > pi > name > noption_pi,X1: late_residual,Y1: name > noption_pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L3230824i_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_L635439693i_name @ F2 ) )
% 0.29/0.66 => ( ( late_r750878080ion_pi @ F1 @ F2 @ X1 @ Y1 )
% 0.29/0.66 => ( finite_finite_name @ ( supp_n468628396i_name @ Y1 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.rec_fin_supp
% 0.29/0.66 thf(fact_330_pi_Osupp_I4_J,axiom,
% 0.29/0.66 ! [X32: name,X1: name,X2: pi] :
% 0.29/0.66 ( ( supp_pi_name @ ( input @ X32 @ X1 @ X2 ) )
% 0.29/0.66 = ( sup_sup_set_name @ ( supp_name_name @ X32 ) @ ( supp_n468628396i_name @ ( abs_fun_name_pi @ X1 @ X2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.supp(4)
% 0.29/0.66 thf(fact_331_residual_Osupp_I1_J,axiom,
% 0.29/0.66 ! [X32: late_subject,X1: name,X2: pi] :
% 0.29/0.66 ( ( supp_L1174042202l_name @ ( late_BoundR @ X32 @ X1 @ X2 ) )
% 0.29/0.66 = ( sup_sup_set_name @ ( supp_L1174290467t_name @ X32 ) @ ( supp_n468628396i_name @ ( abs_fun_name_pi @ X1 @ X2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.supp(1)
% 0.29/0.66 thf(fact_332_pi_Osupp_I7_J,axiom,
% 0.29/0.66 ! [X2: pi,X1: pi] :
% 0.29/0.66 ( ( supp_pi_name @ ( sum @ X2 @ X1 ) )
% 0.29/0.66 = ( sup_sup_set_name @ ( supp_pi_name @ X2 ) @ ( supp_pi_name @ X1 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.supp(7)
% 0.29/0.66 thf(fact_333_pi_Osupp_I8_J,axiom,
% 0.29/0.66 ! [X2: pi,X1: pi] :
% 0.29/0.66 ( ( supp_pi_name @ ( par @ X2 @ X1 ) )
% 0.29/0.66 = ( sup_sup_set_name @ ( supp_pi_name @ X2 ) @ ( supp_pi_name @ X1 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.supp(8)
% 0.29/0.66 thf(fact_334_freeRes_Osupp_I1_J,axiom,
% 0.29/0.66 ! [X2: name,X1: name] :
% 0.29/0.66 ( ( supp_L1228270395s_name @ ( late_OutputR @ X2 @ X1 ) )
% 0.29/0.66 = ( sup_sup_set_name @ ( supp_name_name @ X2 ) @ ( supp_name_name @ X1 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % freeRes.supp(1)
% 0.29/0.66 thf(fact_335_residual_Osupp_I2_J,axiom,
% 0.29/0.66 ! [X2: late_freeRes,X1: pi] :
% 0.29/0.66 ( ( supp_L1174042202l_name @ ( late_FreeR @ X2 @ X1 ) )
% 0.29/0.66 = ( sup_sup_set_name @ ( supp_L1228270395s_name @ X2 ) @ ( supp_pi_name @ X1 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % residual.supp(2)
% 0.29/0.66 thf(fact_336_pi_Osupp_I2_J,axiom,
% 0.29/0.66 ! [X32: name,X2: name,X1: pi] :
% 0.29/0.66 ( ( supp_pi_name @ ( output @ X32 @ X2 @ X1 ) )
% 0.29/0.66 = ( sup_sup_set_name @ ( supp_name_name @ X32 ) @ ( sup_sup_set_name @ ( supp_name_name @ X2 ) @ ( supp_pi_name @ X1 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.supp(2)
% 0.29/0.66 thf(fact_337_pi_Osupp_I6_J,axiom,
% 0.29/0.66 ! [X32: name,X2: name,X1: pi] :
% 0.29/0.66 ( ( supp_pi_name @ ( mismatch @ X32 @ X2 @ X1 ) )
% 0.29/0.66 = ( sup_sup_set_name @ ( supp_name_name @ X32 ) @ ( sup_sup_set_name @ ( supp_name_name @ X2 ) @ ( supp_pi_name @ X1 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.supp(6)
% 0.29/0.66 thf(fact_338_pi_Osupp_I5_J,axiom,
% 0.29/0.66 ! [X32: name,X2: name,X1: pi] :
% 0.29/0.66 ( ( supp_pi_name @ ( match @ X32 @ X2 @ X1 ) )
% 0.29/0.66 = ( sup_sup_set_name @ ( supp_name_name @ X32 ) @ ( sup_sup_set_name @ ( supp_name_name @ X2 ) @ ( supp_pi_name @ X1 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.supp(5)
% 0.29/0.66 thf(fact_339_pi_Orec__fin__supp,axiom,
% 0.29/0.66 ! [F1: late_subject,F2: name > name > pi > late_subject > late_subject,F3: pi > late_subject > late_subject,F4: name > name > pi > late_subject > late_subject,F5: name > name > pi > late_subject > late_subject,F6: name > name > pi > late_subject > late_subject,F7: pi > pi > late_subject > late_subject > late_subject,F8: pi > pi > late_subject > late_subject > late_subject,F9: name > pi > late_subject > late_subject,F10: pi > late_subject > late_subject,X1: pi,Y1: late_subject] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1174290467t_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_n200783964t_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_p742701746t_name @ F3 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_n200783964t_name @ F4 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_n200783964t_name @ F5 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_n200783964t_name @ F6 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_p1221108749t_name @ F7 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_p1221108749t_name @ F8 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_n122125407t_name @ F9 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_p742701746t_name @ F10 ) )
% 0.29/0.66 => ( ( pi_rec232630607ubject @ F1 @ F2 @ F3 @ F4 @ F5 @ F6 @ F7 @ F8 @ F9 @ F10 @ X1 @ Y1 )
% 0.29/0.66 => ( finite_finite_name @ ( supp_L1174290467t_name @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.rec_fin_supp
% 0.29/0.66 thf(fact_340_pi_Orec__fin__supp,axiom,
% 0.29/0.66 ! [F1: late_freeRes,F2: name > name > pi > late_freeRes > late_freeRes,F3: pi > late_freeRes > late_freeRes,F4: name > name > pi > late_freeRes > late_freeRes,F5: name > name > pi > late_freeRes > late_freeRes,F6: name > name > pi > late_freeRes > late_freeRes,F7: pi > pi > late_freeRes > late_freeRes > late_freeRes,F8: pi > pi > late_freeRes > late_freeRes > late_freeRes,F9: name > pi > late_freeRes > late_freeRes,F10: pi > late_freeRes > late_freeRes,X1: pi,Y1: late_freeRes] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_L1228270395s_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_n337505932s_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_p71246050s_name @ F3 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_n337505932s_name @ F4 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_n337505932s_name @ F5 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_n337505932s_name @ F6 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_p1358344533s_name @ F7 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_p1358344533s_name @ F8 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_n1410452111s_name @ F9 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_p71246050s_name @ F10 ) )
% 0.29/0.66 => ( ( pi_rec1156860983reeRes @ F1 @ F2 @ F3 @ F4 @ F5 @ F6 @ F7 @ F8 @ F9 @ F10 @ X1 @ Y1 )
% 0.29/0.66 => ( finite_finite_name @ ( supp_L1228270395s_name @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.rec_fin_supp
% 0.29/0.66 thf(fact_341_pi_Orec__fin__supp,axiom,
% 0.29/0.66 ! [F1: name,F2: name > name > pi > name > name,F3: pi > name > name,F4: name > name > pi > name > name,F5: name > name > pi > name > name,F6: name > name > pi > name > name,F7: pi > pi > name > name > name,F8: pi > pi > name > name > name,F9: name > pi > name > name,F10: pi > name > name,X1: pi,Y1: name] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_name_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_n612431512e_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_p1239856366e_name @ F3 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_n612431512e_name @ F4 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_n612431512e_name @ F5 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_n612431512e_name @ F6 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_p1618090470e_name @ F7 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_p1618090470e_name @ F8 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_n116460699e_name @ F9 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_p1239856366e_name @ F10 ) )
% 0.29/0.66 => ( ( pi_rec_set_name @ F1 @ F2 @ F3 @ F4 @ F5 @ F6 @ F7 @ F8 @ F9 @ F10 @ X1 @ Y1 )
% 0.29/0.66 => ( finite_finite_name @ ( supp_name_name @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.rec_fin_supp
% 0.29/0.66 thf(fact_342_pi_Orec__fin__supp,axiom,
% 0.29/0.66 ! [F1: pi,F2: name > name > pi > pi > pi,F3: pi > pi > pi,F4: name > name > pi > pi > pi,F5: name > name > pi > pi > pi,F6: name > name > pi > pi > pi,F7: pi > pi > pi > pi > pi,F8: pi > pi > pi > pi > pi,F9: name > pi > pi > pi,F10: pi > pi > pi,X1: pi,Y1: pi] :
% 0.29/0.66 ( ( finite_finite_name @ ( supp_pi_name @ F1 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_n1977765016i_name @ F2 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_pi_pi_pi_name @ F3 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_n1977765016i_name @ F4 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_n1977765016i_name @ F5 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_n1977765016i_name @ F6 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_p812767768i_name @ F7 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_p812767768i_name @ F8 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_n96533147i_name @ F9 ) )
% 0.29/0.66 => ( ( finite_finite_name @ ( supp_pi_pi_pi_name @ F10 ) )
% 0.29/0.66 => ( ( pi_rec_set_pi @ F1 @ F2 @ F3 @ F4 @ F5 @ F6 @ F7 @ F8 @ F9 @ F10 @ X1 @ Y1 )
% 0.29/0.66 => ( finite_finite_name @ ( supp_pi_name @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pi.rec_fin_supp
% 0.29/0.66 thf(fact_343_pi_Orec__fin__supp,axiom,
% 0.29/0.66 ! [F1: name > noption_pi,F2: name > name > pi > ( name > noption_pi ) > name > noption_pi,F3: pi > ( name > noption_pi ) > name > noption_pi,F4: name > name > pi > ( name > noption_pi ) > name > noption_pi,F5: name > name > pi > ( name > noption_pi ) > name > noption_pi,F6: name > name > pi > ( name > noption_pi ) > name > noption_pi,F7: pi > pi > ( name > noption_pi ) > ( name > noption_pi ) > name > noption_pi,F8: pi > pi > ( name > noption_pi ) > ( name > noption_pi ) > name > noption_pi,F9: name > pi > ( name > noption_pi ) > name > noption_pi,F10: pi > ( name > noption_pi ) > name > noption_pi,X1: pi,Y1: name > noption_pi] :
% 0.56/0.78 ( ( finite_finite_name @ ( supp_n468628396i_name @ F1 ) )
% 0.56/0.78 => ( ( finite_finite_name @ ( supp_n1987783534i_name @ F2 ) )
% 0.56/0.78 => ( ( finite_finite_name @ ( supp_p1320058820i_name @ F3 ) )
% 0.56/0.78 => ( ( finite_finite_name @ ( supp_n1987783534i_name @ F4 ) )
% 0.56/0.78 => ( ( finite_finite_name @ ( supp_n1987783534i_name @ F5 ) )
% 0.56/0.78 => ( ( finite_finite_name @ ( supp_n1987783534i_name @ F6 ) )
% 0.56/0.78 => ( ( finite_finite_name @ ( supp_p1592910632i_name @ F7 ) )
% 0.56/0.78 => ( ( finite_finite_name @ ( supp_p1592910632i_name @ F8 ) )
% 0.56/0.78 => ( ( finite_finite_name @ ( supp_n52582513i_name @ F9 ) )
% 0.56/0.78 => ( ( finite_finite_name @ ( supp_p1320058820i_name @ F10 ) )
% 0.56/0.78 => ( ( pi_rec802206470ion_pi @ F1 @ F2 @ F3 @ F4 @ F5 @ F6 @ F7 @ F8 @ F9 @ F10 @ X1 @ Y1 )
% 0.56/0.78 => ( finite_finite_name @ ( supp_n468628396i_name @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.56/0.78
% 0.56/0.78 % pi.rec_fin_supp
% 0.56/0.78 thf(fact_344_supports__fresh,axiom,
% 0.56/0.78 ! [S: set_name,X: late_subject,A: name] :
% 0.56/0.78 ( ( suppor632428453ubject @ S @ X )
% 0.56/0.78 => ( ( finite_finite_name @ S )
% 0.56/0.78 => ( ~ ( member_name @ A @ S )
% 0.56/0.78 => ( fresh_717452603ubject @ A @ X ) ) ) ) ).
% 0.56/0.78
% 0.56/0.78 % supports_fresh
% 0.56/0.78 thf(fact_345_supports__fresh,axiom,
% 0.56/0.78 ! [S: set_name,X: late_freeRes,A: name] :
% 0.56/0.78 ( ( suppor1556658829reeRes @ S @ X )
% 0.56/0.78 => ( ( finite_finite_name @ S )
% 0.56/0.78 => ( ~ ( member_name @ A @ S )
% 0.56/0.78 => ( fresh_1641682979reeRes @ A @ X ) ) ) ) ).
% 0.56/0.78
% 0.56/0.78 % supports_fresh
% 0.56/0.78 thf(fact_346_supports__fresh,axiom,
% 0.56/0.78 ! [S: set_name,X: name,A: name] :
% 0.56/0.78 ( ( supports_name_name @ S @ X )
% 0.56/0.78 => ( ( finite_finite_name @ S )
% 0.56/0.78 => ( ~ ( member_name @ A @ S )
% 0.56/0.78 => ( fresh_name_name @ A @ X ) ) ) ) ).
% 0.56/0.78
% 0.56/0.78 % supports_fresh
% 0.56/0.78 thf(fact_347_supports__fresh,axiom,
% 0.56/0.78 ! [S: set_name,X: pi,A: name] :
% 0.56/0.78 ( ( supports_name_pi @ S @ X )
% 0.56/0.78 => ( ( finite_finite_name @ S )
% 0.56/0.78 => ( ~ ( member_name @ A @ S )
% 0.56/0.78 => ( fresh_name_pi @ A @ X ) ) ) ) ).
% 0.56/0.78
% 0.56/0.78 % supports_fresh
% 0.56/0.78 thf(fact_348_supports__fresh,axiom,
% 0.56/0.78 ! [S: set_name,X: name > noption_pi,A: name] :
% 0.56/0.78 ( ( suppor1289515356ion_pi @ S @ X )
% 0.56/0.78 => ( ( finite_finite_name @ S )
% 0.56/0.78 => ( ~ ( member_name @ A @ S )
% 0.56/0.78 => ( fresh_543891186ion_pi @ A @ X ) ) ) ) ).
% 0.56/0.78
% 0.56/0.78 % supports_fresh
% 0.56/0.78
% 0.56/0.78 % Helper facts (3)
% 0.56/0.78 thf(help_If_3_1_If_001t__Agent__Oname_T,axiom,
% 0.56/0.78 ! [P: $o] :
% 0.56/0.78 ( ( P = $true )
% 0.56/0.78 | ( P = $false ) ) ).
% 0.56/0.78
% 0.56/0.78 thf(help_If_2_1_If_001t__Agent__Oname_T,axiom,
% 0.56/0.78 ! [X: name,Y: name] :
% 0.56/0.78 ( ( if_name @ $false @ X @ Y )
% 0.56/0.78 = Y ) ).
% 0.56/0.78
% 0.56/0.78 thf(help_If_1_1_If_001t__Agent__Oname_T,axiom,
% 0.56/0.78 ! [X: name,Y: name] :
% 0.56/0.78 ( ( if_name @ $true @ X @ Y )
% 0.56/0.78 = X ) ).
% 0.56/0.78
% 0.56/0.78 % Conjectures (1)
% 0.56/0.78 thf(conj_0,conjecture,
% 0.56/0.78 late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( par @ ( par @ p2 @ ( subs @ q2 @ x @ b ) ) @ r ) ) ).
% 0.56/0.78
% 0.56/0.78 %------------------------------------------------------------------------------
% 0.56/0.78 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.w9H033ijoO/cvc5---1.0.5_26403.p...
% 0.56/0.78 (declare-sort $$unsorted 0)
% 0.56/0.78 (declare-sort tptp.noptio751120898ion_pi 0)
% 0.56/0.78 (declare-sort tptp.noptio2087446135ion_pi 0)
% 0.56/0.78 (declare-sort tptp.noptio570777408ubject 0)
% 0.56/0.78 (declare-sort tptp.noptio435234344reeRes 0)
% 0.56/0.78 (declare-sort tptp.noptio1926134715n_name 0)
% 0.56/0.78 (declare-sort tptp.noptio354675977ion_pi 0)
% 0.56/0.78 (declare-sort tptp.noption_Late_subject 0)
% 0.56/0.78 (declare-sort tptp.noption_Late_freeRes 0)
% 0.56/0.78 (declare-sort tptp.noption_name 0)
% 0.56/0.78 (declare-sort tptp.noption_pi 0)
% 0.56/0.78 (declare-sort tptp.set_name 0)
% 0.56/0.78 (declare-sort tptp.late_residual 0)
% 0.56/0.78 (declare-sort tptp.late_subject 0)
% 0.56/0.78 (declare-sort tptp.late_freeRes 0)
% 0.56/0.78 (declare-sort tptp.name 0)
% 0.56/0.78 (declare-sort tptp.pi 0)
% 0.56/0.78 (declare-fun tptp.bang (tptp.pi) tptp.pi)
% 0.56/0.78 (declare-fun tptp.input (tptp.name tptp.name tptp.pi) tptp.pi)
% 0.56/0.78 (declare-fun tptp.match (tptp.name tptp.name tptp.pi) tptp.pi)
% 0.56/0.78 (declare-fun tptp.mismatch (tptp.name tptp.name tptp.pi) tptp.pi)
% 0.56/0.78 (declare-fun tptp.output (tptp.name tptp.name tptp.pi) tptp.pi)
% 0.56/0.78 (declare-fun tptp.par (tptp.pi tptp.pi) tptp.pi)
% 0.56/0.78 (declare-fun tptp.piNil () tptp.pi)
% 0.56/0.78 (declare-fun tptp.res (tptp.name tptp.pi) tptp.pi)
% 0.56/0.78 (declare-fun tptp.sum (tptp.pi tptp.pi) tptp.pi)
% 0.56/0.78 (declare-fun tptp.tau (tptp.pi) tptp.pi)
% 0.56/0.78 (declare-fun tptp.pi_rec_pi (tptp.pi (-> tptp.name tptp.name tptp.pi tptp.pi tptp.pi) (-> tptp.pi tptp.pi tptp.pi) (-> tptp.name tptp.name tptp.pi tptp.pi tptp.pi) (-> tptp.name tptp.name tptp.pi tptp.pi tptp.pi) (-> tptp.name tptp.name tptp.pi tptp.pi tptp.pi) (-> tptp.pi tptp.pi tptp.pi tptp.pi tptp.pi) (-> tptp.pi tptp.pi tptp.pi tptp.pi tptp.pi) (-> tptp.name tptp.pi tptp.pi tptp.pi) (-> tptp.pi tptp.pi tptp.pi) tptp.pi) tptp.pi)
% 0.56/0.78 (declare-fun tptp.pi_rec802206470ion_pi ((-> tptp.name tptp.noption_pi) (-> tptp.name tptp.name tptp.pi (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi) (-> tptp.pi (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi) (-> tptp.name tptp.name tptp.pi (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi) (-> tptp.name tptp.name tptp.pi (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi) (-> tptp.name tptp.name tptp.pi (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi) (-> tptp.pi tptp.pi (-> tptp.name tptp.noption_pi) (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi) (-> tptp.pi tptp.pi (-> tptp.name tptp.noption_pi) (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi) (-> tptp.name tptp.pi (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi) (-> tptp.pi (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi) tptp.pi (-> tptp.name tptp.noption_pi)) Bool)
% 0.56/0.78 (declare-fun tptp.pi_rec_set_name (tptp.name (-> tptp.name tptp.name tptp.pi tptp.name tptp.name) (-> tptp.pi tptp.name tptp.name) (-> tptp.name tptp.name tptp.pi tptp.name tptp.name) (-> tptp.name tptp.name tptp.pi tptp.name tptp.name) (-> tptp.name tptp.name tptp.pi tptp.name tptp.name) (-> tptp.pi tptp.pi tptp.name tptp.name tptp.name) (-> tptp.pi tptp.pi tptp.name tptp.name tptp.name) (-> tptp.name tptp.pi tptp.name tptp.name) (-> tptp.pi tptp.name tptp.name) tptp.pi tptp.name) Bool)
% 0.56/0.78 (declare-fun tptp.pi_rec_set_pi (tptp.pi (-> tptp.name tptp.name tptp.pi tptp.pi tptp.pi) (-> tptp.pi tptp.pi tptp.pi) (-> tptp.name tptp.name tptp.pi tptp.pi tptp.pi) (-> tptp.name tptp.name tptp.pi tptp.pi tptp.pi) (-> tptp.name tptp.name tptp.pi tptp.pi tptp.pi) (-> tptp.pi tptp.pi tptp.pi tptp.pi tptp.pi) (-> tptp.pi tptp.pi tptp.pi tptp.pi tptp.pi) (-> tptp.name tptp.pi tptp.pi tptp.pi) (-> tptp.pi tptp.pi tptp.pi) tptp.pi tptp.pi) Bool)
% 0.56/0.78 (declare-fun tptp.pi_rec1156860983reeRes (tptp.late_freeRes (-> tptp.name tptp.name tptp.pi tptp.late_freeRes tptp.late_freeRes) (-> tptp.pi tptp.late_freeRes tptp.late_freeRes) (-> tptp.name tptp.name tptp.pi tptp.late_freeRes tptp.late_freeRes) (-> tptp.name tptp.name tptp.pi tptp.late_freeRes tptp.late_freeRes) (-> tptp.name tptp.name tptp.pi tptp.late_freeRes tptp.late_freeRes) (-> tptp.pi tptp.pi tptp.late_freeRes tptp.late_freeRes tptp.late_freeRes) (-> tptp.pi tptp.pi tptp.late_freeRes tptp.late_freeRes tptp.late_freeRes) (-> tptp.name tptp.pi tptp.late_freeRes tptp.late_freeRes) (-> tptp.pi tptp.late_freeRes tptp.late_freeRes) tptp.pi tptp.late_freeRes) Bool)
% 0.56/0.78 (declare-fun tptp.pi_rec232630607ubject (tptp.late_subject (-> tptp.name tptp.name tptp.pi tptp.late_subject tptp.late_subject) (-> tptp.pi tptp.late_subject tptp.late_subject) (-> tptp.name tptp.name tptp.pi tptp.late_subject tptp.late_subject) (-> tptp.name tptp.name tptp.pi tptp.late_subject tptp.late_subject) (-> tptp.name tptp.name tptp.pi tptp.late_subject tptp.late_subject) (-> tptp.pi tptp.pi tptp.late_subject tptp.late_subject tptp.late_subject) (-> tptp.pi tptp.pi tptp.late_subject tptp.late_subject tptp.late_subject) (-> tptp.name tptp.pi tptp.late_subject tptp.late_subject) (-> tptp.pi tptp.late_subject tptp.late_subject) tptp.pi tptp.late_subject) Bool)
% 0.56/0.78 (declare-fun tptp.subs (tptp.pi tptp.name tptp.name) tptp.pi)
% 0.56/0.78 (declare-fun tptp.subst_name (tptp.name tptp.name tptp.name) tptp.name)
% 0.56/0.78 (declare-fun tptp.finite_finite_name (tptp.set_name) Bool)
% 0.56/0.78 (declare-fun tptp.if_name (Bool tptp.name tptp.name) tptp.name)
% 0.56/0.78 (declare-fun tptp.late_bangPred (tptp.pi tptp.pi) Bool)
% 0.56/0.78 (declare-fun tptp.late_OutputR (tptp.name tptp.name) tptp.late_freeRes)
% 0.56/0.78 (declare-fun tptp.late_TauR () tptp.late_freeRes)
% 0.56/0.78 (declare-fun tptp.late_BoundR (tptp.late_subject tptp.name tptp.pi) tptp.late_residual)
% 0.56/0.78 (declare-fun tptp.late_FreeR (tptp.late_freeRes tptp.pi) tptp.late_residual)
% 0.56/0.78 (declare-fun tptp.late_r1174711868c_name ((-> tptp.late_subject tptp.name tptp.pi tptp.name) (-> tptp.late_freeRes tptp.pi tptp.name) tptp.late_residual) tptp.name)
% 0.56/0.78 (declare-fun tptp.late_residual_rec_pi ((-> tptp.late_subject tptp.name tptp.pi tptp.pi) (-> tptp.late_freeRes tptp.pi tptp.pi) tptp.late_residual) tptp.pi)
% 0.56/0.78 (declare-fun tptp.late_r124702629reeRes ((-> tptp.late_subject tptp.name tptp.pi tptp.late_freeRes) (-> tptp.late_freeRes tptp.pi tptp.late_freeRes) tptp.late_residual) tptp.late_freeRes)
% 0.56/0.78 (declare-fun tptp.late_r1347955901ubject ((-> tptp.late_subject tptp.name tptp.pi tptp.late_subject) (-> tptp.late_freeRes tptp.pi tptp.late_subject) tptp.late_residual) tptp.late_subject)
% 0.56/0.78 (declare-fun tptp.late_r750878080ion_pi ((-> tptp.late_subject tptp.name tptp.pi tptp.name tptp.noption_pi) (-> tptp.late_freeRes tptp.pi tptp.name tptp.noption_pi) tptp.late_residual (-> tptp.name tptp.noption_pi)) Bool)
% 0.56/0.78 (declare-fun tptp.late_r1742481968t_name ((-> tptp.late_subject tptp.name tptp.pi tptp.name) (-> tptp.late_freeRes tptp.pi tptp.name) tptp.late_residual tptp.name) Bool)
% 0.56/0.78 (declare-fun tptp.late_r1261898622set_pi ((-> tptp.late_subject tptp.name tptp.pi tptp.pi) (-> tptp.late_freeRes tptp.pi tptp.pi) tptp.late_residual tptp.pi) Bool)
% 0.56/0.78 (declare-fun tptp.late_r1613948593reeRes ((-> tptp.late_subject tptp.name tptp.pi tptp.late_freeRes) (-> tptp.late_freeRes tptp.pi tptp.late_freeRes) tptp.late_residual tptp.late_freeRes) Bool)
% 0.56/0.78 (declare-fun tptp.late_r689718217ubject ((-> tptp.late_subject tptp.name tptp.pi tptp.late_subject) (-> tptp.late_freeRes tptp.pi tptp.late_subject) tptp.late_residual tptp.late_subject) Bool)
% 0.56/0.78 (declare-fun tptp.late_BoundOutputS (tptp.name) tptp.late_subject)
% 0.56/0.78 (declare-fun tptp.late_InputS (tptp.name) tptp.late_subject)
% 0.56/0.78 (declare-fun tptp.late_transitions (tptp.pi tptp.late_residual) Bool)
% 0.56/0.78 (declare-fun tptp.sup_sup_set_name (tptp.set_name tptp.set_name) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.abs_fu446471607ion_pi (tptp.name (-> tptp.name tptp.noptio354675977ion_pi) tptp.name) tptp.noptio2087446135ion_pi)
% 0.56/0.78 (declare-fun tptp.abs_fu1394407909n_name (tptp.name (-> tptp.name tptp.noption_name) tptp.name) tptp.noptio1926134715n_name)
% 0.56/0.78 (declare-fun tptp.abs_fu1614711987ion_pi (tptp.name (-> tptp.name tptp.noption_pi) tptp.name) tptp.noptio354675977ion_pi)
% 0.56/0.78 (declare-fun tptp.abs_fu1763130856reeRes (tptp.name (-> tptp.name tptp.noption_Late_freeRes) tptp.name) tptp.noptio435234344reeRes)
% 0.56/0.78 (declare-fun tptp.abs_fu1705804544ubject (tptp.name (-> tptp.name tptp.noption_Late_subject) tptp.name) tptp.noptio570777408ubject)
% 0.56/0.78 (declare-fun tptp.abs_fu1682643010ion_pi (tptp.name (-> tptp.late_freeRes tptp.pi tptp.name tptp.noption_pi) tptp.name) tptp.noptio751120898ion_pi)
% 0.56/0.78 (declare-fun tptp.abs_fun_name_name (tptp.name tptp.name tptp.name) tptp.noption_name)
% 0.56/0.78 (declare-fun tptp.abs_fun_name_pi (tptp.name tptp.pi tptp.name) tptp.noption_pi)
% 0.56/0.78 (declare-fun tptp.abs_fu681348580reeRes (tptp.name tptp.late_freeRes tptp.name) tptp.noption_Late_freeRes)
% 0.56/0.78 (declare-fun tptp.abs_fu1904601852ubject (tptp.name tptp.late_subject tptp.name) tptp.noption_Late_subject)
% 0.56/0.78 (declare-fun tptp.fresh_1575363742ion_pi (tptp.name (-> tptp.name tptp.noptio2087446135ion_pi)) Bool)
% 0.56/0.78 (declare-fun tptp.fresh_1742414570n_name (tptp.name (-> tptp.name tptp.noptio1926134715n_name)) Bool)
% 0.56/0.78 (declare-fun tptp.fresh_92802872ion_pi (tptp.name (-> tptp.name tptp.noptio354675977ion_pi)) Bool)
% 0.56/0.78 (declare-fun tptp.fresh_1215331279reeRes (tptp.name (-> tptp.name tptp.noptio435234344reeRes)) Bool)
% 0.56/0.78 (declare-fun tptp.fresh_600418535ubject (tptp.name (-> tptp.name tptp.noptio570777408ubject)) Bool)
% 0.56/0.78 (declare-fun tptp.fresh_481208489ion_pi (tptp.name (-> tptp.name tptp.noptio751120898ion_pi)) Bool)
% 0.56/0.78 (declare-fun tptp.fresh_1093033124n_name (tptp.name (-> tptp.name tptp.noption_name)) Bool)
% 0.56/0.78 (declare-fun tptp.fresh_543891186ion_pi (tptp.name (-> tptp.name tptp.noption_pi)) Bool)
% 0.56/0.78 (declare-fun tptp.fresh_785364841reeRes (tptp.name (-> tptp.name tptp.noption_Late_freeRes)) Bool)
% 0.56/0.78 (declare-fun tptp.fresh_728038529ubject (tptp.name (-> tptp.name tptp.noption_Late_subject)) Bool)
% 0.56/0.78 (declare-fun tptp.fresh_7927363ion_pi (tptp.name (-> tptp.late_freeRes tptp.pi tptp.name tptp.noption_pi)) Bool)
% 0.56/0.78 (declare-fun tptp.fresh_1030632537i_name (tptp.name (-> tptp.late_freeRes tptp.pi tptp.name)) Bool)
% 0.56/0.78 (declare-fun tptp.fresh_1011532071_pi_pi (tptp.name (-> tptp.late_freeRes tptp.pi tptp.pi)) Bool)
% 0.56/0.78 (declare-fun tptp.fresh_256112244reeRes (tptp.name (-> tptp.late_freeRes tptp.pi tptp.late_freeRes)) Bool)
% 0.56/0.78 (declare-fun tptp.fresh_198785932ubject (tptp.name (-> tptp.late_freeRes tptp.pi tptp.late_subject)) Bool)
% 0.56/0.78 (declare-fun tptp.fresh_747777846ion_pi (tptp.name (-> tptp.late_subject tptp.name tptp.pi tptp.name tptp.noption_pi)) Bool)
% 0.56/0.78 (declare-fun tptp.fresh_621211324i_name (tptp.name (-> tptp.late_subject tptp.name tptp.pi tptp.name)) Bool)
% 0.56/0.78 (declare-fun tptp.fresh_1438126218_pi_pi (tptp.name (-> tptp.late_subject tptp.name tptp.pi tptp.pi)) Bool)
% 0.56/0.78 (declare-fun tptp.fresh_660367079reeRes (tptp.name (-> tptp.late_subject tptp.name tptp.pi tptp.late_freeRes)) Bool)
% 0.56/0.78 (declare-fun tptp.fresh_795910143ubject (tptp.name (-> tptp.late_subject tptp.name tptp.pi tptp.late_subject)) Bool)
% 0.56/0.78 (declare-fun tptp.fresh_name_name (tptp.name tptp.name) Bool)
% 0.56/0.78 (declare-fun tptp.fresh_name_pi (tptp.name tptp.pi) Bool)
% 0.56/0.78 (declare-fun tptp.fresh_1641682979reeRes (tptp.name tptp.late_freeRes) Bool)
% 0.56/0.78 (declare-fun tptp.fresh_81631222sidual (tptp.name tptp.late_residual) Bool)
% 0.56/0.78 (declare-fun tptp.fresh_717452603ubject (tptp.name tptp.late_subject) Bool)
% 0.56/0.78 (declare-fun tptp.supp_n1987783534i_name ((-> tptp.name tptp.name tptp.pi (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_n612431512e_name ((-> tptp.name tptp.name tptp.pi tptp.name tptp.name)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_n1977765016i_name ((-> tptp.name tptp.name tptp.pi tptp.pi tptp.pi)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_n337505932s_name ((-> tptp.name tptp.name tptp.pi tptp.late_freeRes tptp.late_freeRes)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_n200783964t_name ((-> tptp.name tptp.name tptp.pi tptp.late_subject tptp.late_subject)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_n52582513i_name ((-> tptp.name tptp.pi (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_n116460699e_name ((-> tptp.name tptp.pi tptp.name tptp.name)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_n96533147i_name ((-> tptp.name tptp.pi tptp.pi tptp.pi)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_n1410452111s_name ((-> tptp.name tptp.pi tptp.late_freeRes tptp.late_freeRes)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_n122125407t_name ((-> tptp.name tptp.pi tptp.late_subject tptp.late_subject)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_n1003758744i_name ((-> tptp.name tptp.noptio354675977ion_pi)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_n352473082e_name ((-> tptp.name tptp.noption_name)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_n468628396i_name ((-> tptp.name tptp.noption_pi)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_n252280103s_name ((-> tptp.name tptp.noption_Late_freeRes)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_n1630792207t_name ((-> tptp.name tptp.noption_Late_subject)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_p1320058820i_name ((-> tptp.pi (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_p1239856366e_name ((-> tptp.pi tptp.name tptp.name)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_p1592910632i_name ((-> tptp.pi tptp.pi (-> tptp.name tptp.noption_pi) (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_p1618090470e_name ((-> tptp.pi tptp.pi tptp.name tptp.name tptp.name)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_p812767768i_name ((-> tptp.pi tptp.pi tptp.pi tptp.pi tptp.pi)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_p1358344533s_name ((-> tptp.pi tptp.pi tptp.late_freeRes tptp.late_freeRes tptp.late_freeRes)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_p1221108749t_name ((-> tptp.pi tptp.pi tptp.late_subject tptp.late_subject tptp.late_subject)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_pi_pi_pi_name ((-> tptp.pi tptp.pi tptp.pi)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_p71246050s_name ((-> tptp.pi tptp.late_freeRes tptp.late_freeRes)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_p742701746t_name ((-> tptp.pi tptp.late_subject tptp.late_subject)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_L635439693i_name ((-> tptp.late_freeRes tptp.pi tptp.name tptp.noption_pi)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_L926407557e_name ((-> tptp.late_freeRes tptp.pi tptp.name)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_L2052723895i_name ((-> tptp.late_freeRes tptp.pi tptp.pi)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_L381160156s_name ((-> tptp.late_freeRes tptp.pi tptp.late_freeRes)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_L1759672260t_name ((-> tptp.late_freeRes tptp.pi tptp.late_subject)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_L3230824i_name ((-> tptp.late_subject tptp.name tptp.pi tptp.name tptp.noption_pi)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_L538372628e_name ((-> tptp.late_subject tptp.name tptp.pi tptp.name)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_L729745222i_name ((-> tptp.late_subject tptp.name tptp.pi tptp.pi)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_L1178477943s_name ((-> tptp.late_subject tptp.name tptp.pi tptp.late_freeRes)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_L1144036959t_name ((-> tptp.late_subject tptp.name tptp.pi tptp.late_subject)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_name_name (tptp.name) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_pi_name (tptp.pi) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_L1228270395s_name (tptp.late_freeRes) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_L1174042202l_name (tptp.late_residual) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.supp_L1174290467t_name (tptp.late_subject) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.suppor1289515356ion_pi (tptp.set_name (-> tptp.name tptp.noption_pi)) Bool)
% 0.56/0.78 (declare-fun tptp.supports_name_name (tptp.set_name tptp.name) Bool)
% 0.56/0.78 (declare-fun tptp.supports_name_pi (tptp.set_name tptp.pi) Bool)
% 0.56/0.78 (declare-fun tptp.suppor1556658829reeRes (tptp.set_name tptp.late_freeRes) Bool)
% 0.56/0.78 (declare-fun tptp.suppor632428453ubject (tptp.set_name tptp.late_subject) Bool)
% 0.56/0.78 (declare-fun tptp.collect_name ((-> tptp.name Bool)) tptp.set_name)
% 0.56/0.78 (declare-fun tptp.member_name (tptp.name tptp.set_name) Bool)
% 0.56/0.78 (declare-fun tptp.p () tptp.pi)
% 0.56/0.78 (declare-fun tptp.pqr () tptp.pi)
% 0.56/0.78 (declare-fun tptp.p2 () tptp.pi)
% 0.56/0.78 (declare-fun tptp.q () tptp.pi)
% 0.56/0.78 (declare-fun tptp.qr () tptp.pi)
% 0.56/0.78 (declare-fun tptp.q2 () tptp.pi)
% 0.56/0.78 (declare-fun tptp.r () tptp.pi)
% 0.56/0.78 (declare-fun tptp.alpha () tptp.late_freeRes)
% 0.56/0.78 (declare-fun tptp.a () tptp.name)
% 0.56/0.78 (declare-fun tptp.b () tptp.name)
% 0.56/0.78 (declare-fun tptp.x () tptp.name)
% 0.56/0.78 (assert (= tptp.alpha tptp.late_TauR))
% 0.56/0.78 (assert (not (= tptp.x tptp.a)))
% 0.56/0.78 (assert (not (= tptp.x tptp.b)))
% 0.56/0.78 (assert (@ (@ tptp.late_transitions (@ (@ tptp.par tptp.p) tptp.q)) (@ (@ tptp.late_FreeR tptp.late_TauR) (@ (@ tptp.par tptp.p2) (@ (@ (@ tptp.subs tptp.q2) tptp.x) tptp.b)))))
% 0.56/0.78 (assert (@ (@ tptp.late_transitions (@ (@ tptp.par tptp.p) (@ (@ tptp.par tptp.q) tptp.r))) (@ (@ tptp.late_FreeR tptp.alpha) tptp.pqr)))
% 0.56/0.78 (assert (@ (@ tptp.fresh_name_pi tptp.x) tptp.q))
% 0.56/0.78 (assert (@ (@ tptp.fresh_name_pi tptp.x) tptp.p))
% 0.56/0.78 (assert (@ (@ tptp.fresh_name_pi tptp.x) tptp.p2))
% 0.56/0.78 (assert (@ (@ tptp.fresh_name_pi tptp.x) (@ (@ tptp.par tptp.q) tptp.r)))
% 0.56/0.78 (assert (@ (@ tptp.late_transitions tptp.p) (@ (@ tptp.late_FreeR (@ (@ tptp.late_OutputR tptp.a) tptp.b)) tptp.p2)))
% 0.56/0.78 (assert (forall ((P tptp.pi) (Q tptp.pi) (C tptp.name) (D tptp.name)) (= (@ (@ (@ tptp.subs (@ (@ tptp.par P) Q)) C) D) (@ (@ tptp.par (@ (@ (@ tptp.subs P) C) D)) (@ (@ (@ tptp.subs Q) C) D)))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (Alpha tptp.late_freeRes) (P2 tptp.pi) (Q tptp.pi)) (let ((_let_1 (@ tptp.late_FreeR Alpha))) (=> (@ (@ tptp.late_transitions P) (@ _let_1 P2)) (@ (@ tptp.late_transitions (@ (@ tptp.par P) Q)) (@ _let_1 (@ (@ tptp.par P2) Q)))))))
% 0.56/0.78 (assert (forall ((Q tptp.pi) (Alpha tptp.late_freeRes) (Q2 tptp.pi) (P tptp.pi)) (let ((_let_1 (@ tptp.par P))) (let ((_let_2 (@ tptp.late_FreeR Alpha))) (=> (@ (@ tptp.late_transitions Q) (@ _let_2 Q2)) (@ (@ tptp.late_transitions (@ _let_1 Q)) (@ _let_2 (@ _let_1 Q2))))))))
% 0.56/0.78 (assert (@ (@ tptp.fresh_name_pi tptp.x) tptp.r))
% 0.56/0.78 (assert (forall ((P tptp.pi) (A tptp.name)) (= (@ (@ (@ tptp.subs P) A) A) P)))
% 0.56/0.78 (assert (@ (@ tptp.late_transitions tptp.q) (@ (@ (@ tptp.late_BoundR (@ tptp.late_InputS tptp.a)) tptp.x) tptp.q2)))
% 0.56/0.78 (assert (@ (@ tptp.late_transitions (@ (@ tptp.par tptp.q) tptp.r)) (@ (@ (@ tptp.late_BoundR (@ tptp.late_InputS tptp.a)) tptp.x) tptp.qr)))
% 0.56/0.78 (assert (forall ((X2 tptp.late_freeRes) (X1 tptp.pi) (Y2 tptp.late_freeRes) (Y1 tptp.pi)) (= (= (@ (@ tptp.late_FreeR X2) X1) (@ (@ tptp.late_FreeR Y2) Y1)) (and (= X2 Y2) (= X1 Y1)))))
% 0.56/0.78 (assert (forall ((X2 tptp.pi) (X1 tptp.pi) (Y2 tptp.pi) (Y1 tptp.pi)) (= (= (@ (@ tptp.par X2) X1) (@ (@ tptp.par Y2) Y1)) (and (= X2 Y2) (= X1 Y1)))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (Alpha tptp.late_freeRes) (P2 tptp.pi) (Prop (-> tptp.late_freeRes tptp.pi Bool))) (=> (@ (@ tptp.late_transitions (@ tptp.tau P)) (@ (@ tptp.late_FreeR Alpha) P2)) (=> (=> (= Alpha tptp.late_TauR) (=> (= P P2) (@ (@ Prop tptp.late_TauR) P))) (@ (@ Prop Alpha) P2)))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (Rs tptp.late_residual)) (=> (@ (@ tptp.late_transitions (@ tptp.tau P)) Rs) (not (forall ((P3 tptp.pi)) (=> (= (@ tptp.tau P) (@ tptp.tau P3)) (not (= Rs (@ (@ tptp.late_FreeR tptp.late_TauR) P3)))))))))
% 0.56/0.78 (assert (forall ((X2 tptp.name) (X1 tptp.name) (Y2 tptp.name) (Y1 tptp.name)) (= (= (@ (@ tptp.late_OutputR X2) X1) (@ (@ tptp.late_OutputR Y2) Y1)) (and (= X2 Y2) (= X1 Y1)))))
% 0.56/0.78 (assert (forall ((A tptp.name) (X2 tptp.pi) (X1 tptp.pi)) (let ((_let_1 (@ tptp.fresh_name_pi A))) (= (@ _let_1 (@ (@ tptp.par X2) X1)) (and (@ _let_1 X2) (@ _let_1 X1))))))
% 0.56/0.78 (assert (forall ((B tptp.name) (P tptp.pi) (A tptp.name) (C tptp.name)) (let ((_let_1 (@ (@ tptp.subs P) A))) (=> (@ (@ tptp.fresh_name_pi B) P) (= (@ (@ (@ tptp.subs (@ _let_1 B)) B) C) (@ _let_1 C))))))
% 0.56/0.78 (assert (forall ((A tptp.name) (X1 tptp.pi)) (let ((_let_1 (@ tptp.fresh_name_pi A))) (= (@ _let_1 (@ tptp.tau X1)) (@ _let_1 X1)))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (C tptp.name) (D tptp.name)) (= (@ (@ (@ tptp.subs (@ tptp.tau P)) C) D) (@ tptp.tau (@ (@ (@ tptp.subs P) C) D)))))
% 0.56/0.78 (assert (forall ((X1 tptp.pi) (Y1 tptp.pi)) (= (= (@ tptp.tau X1) (@ tptp.tau Y1)) (= X1 Y1))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (A tptp.late_subject) (X tptp.name) (P2 tptp.pi) (Y tptp.name)) (let ((_let_1 (@ tptp.fresh_name_pi Y))) (=> (@ (@ tptp.late_transitions P) (@ (@ (@ tptp.late_BoundR A) X) P2)) (=> (@ _let_1 P) (=> (not (= Y X)) (@ _let_1 P2)))))))
% 0.56/0.78 (assert (forall ((X tptp.late_subject)) (not (forall ((C2 tptp.name)) (not (@ (@ tptp.fresh_717452603ubject C2) X))))))
% 0.56/0.78 (assert (forall ((X tptp.late_freeRes)) (not (forall ((C2 tptp.name)) (not (@ (@ tptp.fresh_1641682979reeRes C2) X))))))
% 0.56/0.78 (assert (forall ((X tptp.name)) (not (forall ((C2 tptp.name)) (not (@ (@ tptp.fresh_name_name C2) X))))))
% 0.56/0.78 (assert (forall ((X tptp.pi)) (not (forall ((C2 tptp.name)) (not (@ (@ tptp.fresh_name_pi C2) X))))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (A tptp.late_subject) (X tptp.name) (P2 tptp.pi)) (not (@ (@ tptp.late_transitions (@ tptp.tau P)) (@ (@ (@ tptp.late_BoundR A) X) P2)))))
% 0.56/0.78 (assert (forall ((P (-> tptp.late_subject tptp.late_residual Bool)) (Z tptp.late_subject) (Residual tptp.late_residual)) (=> (forall ((Subject tptp.late_subject) (Name tptp.name) (Pi tptp.pi) (Z2 tptp.late_subject)) (let ((_let_1 (@ tptp.fresh_717452603ubject Name))) (=> (@ _let_1 Z2) (=> (@ _let_1 Subject) (@ (@ P Z2) (@ (@ (@ tptp.late_BoundR Subject) Name) Pi)))))) (=> (forall ((FreeRes tptp.late_freeRes) (Pi tptp.pi) (Z2 tptp.late_subject)) (@ (@ P Z2) (@ (@ tptp.late_FreeR FreeRes) Pi))) (@ (@ P Z) Residual)))))
% 0.56/0.78 (assert (forall ((P (-> tptp.late_freeRes tptp.late_residual Bool)) (Z tptp.late_freeRes) (Residual tptp.late_residual)) (=> (forall ((Subject tptp.late_subject) (Name tptp.name) (Pi tptp.pi) (Z2 tptp.late_freeRes)) (=> (@ (@ tptp.fresh_1641682979reeRes Name) Z2) (=> (@ (@ tptp.fresh_717452603ubject Name) Subject) (@ (@ P Z2) (@ (@ (@ tptp.late_BoundR Subject) Name) Pi))))) (=> (forall ((FreeRes tptp.late_freeRes) (Pi tptp.pi) (Z2 tptp.late_freeRes)) (@ (@ P Z2) (@ (@ tptp.late_FreeR FreeRes) Pi))) (@ (@ P Z) Residual)))))
% 0.56/0.78 (assert (forall ((P (-> tptp.name tptp.late_residual Bool)) (Z tptp.name) (Residual tptp.late_residual)) (=> (forall ((Subject tptp.late_subject) (Name tptp.name) (Pi tptp.pi) (Z2 tptp.name)) (=> (@ (@ tptp.fresh_name_name Name) Z2) (=> (@ (@ tptp.fresh_717452603ubject Name) Subject) (@ (@ P Z2) (@ (@ (@ tptp.late_BoundR Subject) Name) Pi))))) (=> (forall ((FreeRes tptp.late_freeRes) (Pi tptp.pi) (Z2 tptp.name)) (@ (@ P Z2) (@ (@ tptp.late_FreeR FreeRes) Pi))) (@ (@ P Z) Residual)))))
% 0.56/0.78 (assert (forall ((P (-> tptp.pi tptp.late_residual Bool)) (Z tptp.pi) (Residual tptp.late_residual)) (=> (forall ((Subject tptp.late_subject) (Name tptp.name) (Pi tptp.pi) (Z2 tptp.pi)) (=> (@ (@ tptp.fresh_name_pi Name) Z2) (=> (@ (@ tptp.fresh_717452603ubject Name) Subject) (@ (@ P Z2) (@ (@ (@ tptp.late_BoundR Subject) Name) Pi))))) (=> (forall ((FreeRes tptp.late_freeRes) (Pi tptp.pi) (Z2 tptp.pi)) (@ (@ P Z2) (@ (@ tptp.late_FreeR FreeRes) Pi))) (@ (@ P Z) Residual)))))
% 0.56/0.78 (assert (forall ((P (-> tptp.late_subject tptp.late_residual Bool)) (Z tptp.late_subject) (Residual tptp.late_residual)) (=> (forall ((Subject tptp.late_subject) (Name tptp.name) (Pi tptp.pi) (Z2 tptp.late_subject)) (let ((_let_1 (@ tptp.fresh_717452603ubject Name))) (=> (@ _let_1 Z2) (=> (@ _let_1 Subject) (@ (@ P Z2) (@ (@ (@ tptp.late_BoundR Subject) Name) Pi)))))) (=> (forall ((FreeRes tptp.late_freeRes) (Pi tptp.pi) (Z2 tptp.late_subject)) (@ (@ P Z2) (@ (@ tptp.late_FreeR FreeRes) Pi))) (@ (@ P Z) Residual)))))
% 0.56/0.78 (assert (forall ((P (-> tptp.late_freeRes tptp.late_residual Bool)) (Z tptp.late_freeRes) (Residual tptp.late_residual)) (=> (forall ((Subject tptp.late_subject) (Name tptp.name) (Pi tptp.pi) (Z2 tptp.late_freeRes)) (=> (@ (@ tptp.fresh_1641682979reeRes Name) Z2) (=> (@ (@ tptp.fresh_717452603ubject Name) Subject) (@ (@ P Z2) (@ (@ (@ tptp.late_BoundR Subject) Name) Pi))))) (=> (forall ((FreeRes tptp.late_freeRes) (Pi tptp.pi) (Z2 tptp.late_freeRes)) (@ (@ P Z2) (@ (@ tptp.late_FreeR FreeRes) Pi))) (@ (@ P Z) Residual)))))
% 0.56/0.78 (assert (forall ((P (-> tptp.name tptp.late_residual Bool)) (Z tptp.name) (Residual tptp.late_residual)) (=> (forall ((Subject tptp.late_subject) (Name tptp.name) (Pi tptp.pi) (Z2 tptp.name)) (=> (@ (@ tptp.fresh_name_name Name) Z2) (=> (@ (@ tptp.fresh_717452603ubject Name) Subject) (@ (@ P Z2) (@ (@ (@ tptp.late_BoundR Subject) Name) Pi))))) (=> (forall ((FreeRes tptp.late_freeRes) (Pi tptp.pi) (Z2 tptp.name)) (@ (@ P Z2) (@ (@ tptp.late_FreeR FreeRes) Pi))) (@ (@ P Z) Residual)))))
% 0.56/0.78 (assert (forall ((P (-> tptp.pi tptp.late_residual Bool)) (Z tptp.pi) (Residual tptp.late_residual)) (=> (forall ((Subject tptp.late_subject) (Name tptp.name) (Pi tptp.pi) (Z2 tptp.pi)) (=> (@ (@ tptp.fresh_name_pi Name) Z2) (=> (@ (@ tptp.fresh_717452603ubject Name) Subject) (@ (@ P Z2) (@ (@ (@ tptp.late_BoundR Subject) Name) Pi))))) (=> (forall ((FreeRes tptp.late_freeRes) (Pi tptp.pi) (Z2 tptp.pi)) (@ (@ P Z2) (@ (@ tptp.late_FreeR FreeRes) Pi))) (@ (@ P Z) Residual)))))
% 0.56/0.78 (assert (forall ((P (-> tptp.late_residual Bool)) (Residual tptp.late_residual)) (=> (forall ((Subject tptp.late_subject) (Name tptp.name) (Pi tptp.pi)) (@ P (@ (@ (@ tptp.late_BoundR Subject) Name) Pi))) (=> (forall ((FreeRes tptp.late_freeRes) (Pi tptp.pi)) (@ P (@ (@ tptp.late_FreeR FreeRes) Pi))) (@ P Residual)))))
% 0.56/0.78 (assert (forall ((Subject2 tptp.late_subject) (Name2 tptp.name) (Pi2 tptp.pi) (FreeRes2 tptp.late_freeRes) (Pi3 tptp.pi)) (not (= (@ (@ (@ tptp.late_BoundR Subject2) Name2) Pi2) (@ (@ tptp.late_FreeR FreeRes2) Pi3)))))
% 0.56/0.78 (assert (forall ((A tptp.name) (B tptp.name) (P tptp.pi)) (=> (not (= A B)) (@ (@ tptp.fresh_name_pi A) (@ (@ (@ tptp.subs P) A) B)))))
% 0.56/0.78 (assert (forall ((A tptp.name) (P tptp.pi) (C tptp.name) (B tptp.name)) (let ((_let_1 (@ tptp.fresh_name_pi A))) (=> (@ _let_1 P) (=> (not (= A C)) (@ _let_1 (@ (@ (@ tptp.subs P) B) C)))))))
% 0.56/0.78 (assert (forall ((A tptp.name) (P tptp.pi) (B tptp.name)) (=> (@ (@ tptp.fresh_name_pi A) P) (= (@ (@ (@ tptp.subs P) A) B) P))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (Q tptp.pi) (A tptp.late_subject) (X tptp.name) (PQ tptp.pi) (Prop (-> tptp.pi Bool))) (let ((_let_1 (@ tptp.fresh_name_pi X))) (=> (@ (@ tptp.late_transitions (@ (@ tptp.par P) Q)) (@ (@ (@ tptp.late_BoundR A) X) PQ)) (=> (@ _let_1 P) (=> (@ _let_1 Q) (=> (forall ((P4 tptp.pi)) (=> (@ (@ tptp.late_transitions P) (@ (@ (@ tptp.late_BoundR A) X) P4)) (@ Prop (@ (@ tptp.par P4) Q)))) (=> (forall ((Q3 tptp.pi)) (=> (@ (@ tptp.late_transitions Q) (@ (@ (@ tptp.late_BoundR A) X) Q3)) (@ Prop (@ (@ tptp.par P) Q3)))) (@ Prop PQ)))))))))
% 0.56/0.78 (assert (forall ((Q tptp.pi) (A tptp.late_subject) (X tptp.name) (Q2 tptp.pi) (P tptp.pi)) (let ((_let_1 (@ tptp.par P))) (let ((_let_2 (@ (@ tptp.late_BoundR A) X))) (=> (@ (@ tptp.late_transitions Q) (@ _let_2 Q2)) (=> (@ (@ tptp.fresh_name_pi X) P) (@ (@ tptp.late_transitions (@ _let_1 Q)) (@ _let_2 (@ _let_1 Q2)))))))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (A tptp.late_subject) (X tptp.name) (P2 tptp.pi) (Q tptp.pi)) (let ((_let_1 (@ (@ tptp.late_BoundR A) X))) (=> (@ (@ tptp.late_transitions P) (@ _let_1 P2)) (=> (@ (@ tptp.fresh_name_pi X) Q) (@ (@ tptp.late_transitions (@ (@ tptp.par P) Q)) (@ _let_1 (@ (@ tptp.par P2) Q))))))))
% 0.56/0.78 (assert (forall ((Pi2 tptp.pi) (Pi1 tptp.pi) (Pi22 tptp.pi)) (not (= (@ tptp.tau Pi2) (@ (@ tptp.par Pi1) Pi22)))))
% 0.56/0.78 (assert (forall ((P (-> tptp.late_freeRes Bool)) (FreeRes3 tptp.late_freeRes)) (=> (forall ((Name1 tptp.name) (Name22 tptp.name)) (@ P (@ (@ tptp.late_OutputR Name1) Name22))) (=> (@ P tptp.late_TauR) (@ P FreeRes3)))))
% 0.56/0.78 (assert (forall ((Name12 tptp.name) (Name23 tptp.name)) (not (= (@ (@ tptp.late_OutputR Name12) Name23) tptp.late_TauR))))
% 0.56/0.78 (assert (forall ((A tptp.name) (P (-> tptp.name Bool))) (= (@ (@ tptp.member_name A) (@ tptp.collect_name P)) (@ P A))))
% 0.56/0.78 (assert (forall ((A2 tptp.set_name)) (= (@ tptp.collect_name (lambda ((X3 tptp.name)) (@ (@ tptp.member_name X3) A2))) A2)))
% 0.56/0.78 (assert (forall ((P (-> tptp.name Bool)) (Q (-> tptp.name Bool))) (=> (forall ((X4 tptp.name)) (= (@ P X4) (@ Q X4))) (= (@ tptp.collect_name P) (@ tptp.collect_name Q)))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (A tptp.name) (B tptp.name) (P2 tptp.pi)) (not (@ (@ tptp.late_transitions (@ tptp.tau P)) (@ (@ tptp.late_FreeR (@ (@ tptp.late_OutputR A) B)) P2)))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (A tptp.name) (B tptp.name) (P2 tptp.pi) (Q tptp.pi) (X tptp.name) (Q2 tptp.pi)) (let ((_let_1 (@ tptp.fresh_name_pi X))) (=> (@ (@ tptp.late_transitions P) (@ (@ tptp.late_FreeR (@ (@ tptp.late_OutputR A) B)) P2)) (=> (@ (@ tptp.late_transitions Q) (@ (@ (@ tptp.late_BoundR (@ tptp.late_InputS A)) X) Q2)) (=> (@ _let_1 P) (=> (@ _let_1 Q) (=> (not (= X A)) (=> (not (= X B)) (=> (@ _let_1 P2) (@ (@ tptp.late_transitions (@ (@ tptp.par P) Q)) (@ (@ tptp.late_FreeR tptp.late_TauR) (@ (@ tptp.par P2) (@ (@ (@ tptp.subs Q2) X) B))))))))))))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (A tptp.name) (X tptp.name) (P2 tptp.pi) (Q tptp.pi) (B tptp.name) (Q2 tptp.pi)) (let ((_let_1 (@ tptp.fresh_name_pi X))) (=> (@ (@ tptp.late_transitions P) (@ (@ (@ tptp.late_BoundR (@ tptp.late_InputS A)) X) P2)) (=> (@ (@ tptp.late_transitions Q) (@ (@ tptp.late_FreeR (@ (@ tptp.late_OutputR A) B)) Q2)) (=> (@ _let_1 P) (=> (@ _let_1 Q) (=> (not (= X A)) (=> (not (= X B)) (=> (@ _let_1 Q2) (@ (@ tptp.late_transitions (@ (@ tptp.par P) Q)) (@ (@ tptp.late_FreeR tptp.late_TauR) (@ (@ tptp.par (@ (@ (@ tptp.subs P2) X) B)) Q2)))))))))))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (Alpha tptp.late_freeRes) (P2 tptp.pi) (Y tptp.name)) (let ((_let_1 (@ tptp.fresh_name_pi Y))) (=> (@ (@ tptp.late_transitions P) (@ (@ tptp.late_FreeR Alpha) P2)) (=> (@ _let_1 P) (@ _let_1 P2))))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (A tptp.name) (B tptp.name) (P2 tptp.pi) (Q tptp.pi) (X tptp.name) (Q2 tptp.pi)) (=> (@ (@ tptp.late_transitions P) (@ (@ tptp.late_FreeR (@ (@ tptp.late_OutputR A) B)) P2)) (=> (@ (@ tptp.late_transitions Q) (@ (@ (@ tptp.late_BoundR (@ tptp.late_InputS A)) X) Q2)) (@ (@ tptp.late_transitions (@ (@ tptp.par P) Q)) (@ (@ tptp.late_FreeR tptp.late_TauR) (@ (@ tptp.par P2) (@ (@ (@ tptp.subs Q2) X) B))))))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (A tptp.name) (X tptp.name) (P2 tptp.pi) (Q tptp.pi) (B tptp.name) (Q2 tptp.pi)) (=> (@ (@ tptp.late_transitions P) (@ (@ (@ tptp.late_BoundR (@ tptp.late_InputS A)) X) P2)) (=> (@ (@ tptp.late_transitions Q) (@ (@ tptp.late_FreeR (@ (@ tptp.late_OutputR A) B)) Q2)) (@ (@ tptp.late_transitions (@ (@ tptp.par P) Q)) (@ (@ tptp.late_FreeR tptp.late_TauR) (@ (@ tptp.par (@ (@ (@ tptp.subs P2) X) B)) Q2)))))))
% 0.56/0.78 (assert (forall ((P tptp.pi)) (@ (@ tptp.late_transitions (@ tptp.tau P)) (@ (@ tptp.late_FreeR tptp.late_TauR) P))))
% 0.56/0.78 (assert (forall ((X1 tptp.name) (Y1 tptp.name)) (= (= (@ tptp.late_InputS X1) (@ tptp.late_InputS Y1)) (= X1 Y1))))
% 0.56/0.78 (assert (forall ((X11 tptp.name) (X12 tptp.name) (Y11 tptp.name) (Y12 tptp.name)) (= (= (@ (@ tptp.late_OutputR X11) X12) (@ (@ tptp.late_OutputR Y11) Y12)) (and (= X11 Y11) (= X12 Y12)))))
% 0.56/0.78 (assert (forall ((Y tptp.late_freeRes)) (=> (forall ((X112 tptp.name) (X122 tptp.name)) (not (= Y (@ (@ tptp.late_OutputR X112) X122)))) (= Y tptp.late_TauR))))
% 0.56/0.78 (assert (forall ((X11 tptp.name) (X12 tptp.name)) (not (= (@ (@ tptp.late_OutputR X11) X12) tptp.late_TauR))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (A tptp.name) (Y tptp.name) (P2 tptp.pi) (Q tptp.pi) (X tptp.name) (Q2 tptp.pi)) (let ((_let_1 (@ tptp.fresh_name_pi Y))) (let ((_let_2 (@ tptp.fresh_name_pi X))) (=> (@ (@ tptp.late_transitions P) (@ (@ (@ tptp.late_BoundR (@ tptp.late_BoundOutputS A)) Y) P2)) (=> (@ (@ tptp.late_transitions Q) (@ (@ (@ tptp.late_BoundR (@ tptp.late_InputS A)) X) Q2)) (=> (@ _let_2 P) (=> (@ _let_2 Q) (=> (@ _let_1 P) (=> (@ _let_1 Q) (=> (not (= X A)) (=> (@ _let_2 P2) (=> (not (= Y A)) (=> (@ _let_1 Q2) (=> (not (= X Y)) (@ (@ tptp.late_transitions (@ (@ tptp.par P) Q)) (@ (@ tptp.late_FreeR tptp.late_TauR) (@ (@ tptp.res Y) (@ (@ tptp.par P2) (@ (@ (@ tptp.subs Q2) X) Y))))))))))))))))))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (A tptp.name) (X tptp.name) (P2 tptp.pi) (Q tptp.pi) (Y tptp.name) (Q2 tptp.pi)) (let ((_let_1 (@ tptp.fresh_name_pi Y))) (let ((_let_2 (@ tptp.fresh_name_pi X))) (=> (@ (@ tptp.late_transitions P) (@ (@ (@ tptp.late_BoundR (@ tptp.late_InputS A)) X) P2)) (=> (@ (@ tptp.late_transitions Q) (@ (@ (@ tptp.late_BoundR (@ tptp.late_BoundOutputS A)) Y) Q2)) (=> (@ _let_2 P) (=> (@ _let_2 Q) (=> (@ _let_1 P) (=> (@ _let_1 Q) (=> (not (= X A)) (=> (@ _let_2 Q2) (=> (not (= Y A)) (=> (@ _let_1 P2) (=> (not (= X Y)) (@ (@ tptp.late_transitions (@ (@ tptp.par P) Q)) (@ (@ tptp.late_FreeR tptp.late_TauR) (@ (@ tptp.res Y) (@ (@ tptp.par (@ (@ (@ tptp.subs P2) X) Y)) Q2)))))))))))))))))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (A tptp.name) (Y tptp.name) (P2 tptp.pi) (Q tptp.pi) (X tptp.name) (Q2 tptp.pi)) (=> (@ (@ tptp.late_transitions P) (@ (@ (@ tptp.late_BoundR (@ tptp.late_BoundOutputS A)) Y) P2)) (=> (@ (@ tptp.late_transitions Q) (@ (@ (@ tptp.late_BoundR (@ tptp.late_InputS A)) X) Q2)) (=> (@ (@ tptp.fresh_name_pi Y) Q) (@ (@ tptp.late_transitions (@ (@ tptp.par P) Q)) (@ (@ tptp.late_FreeR tptp.late_TauR) (@ (@ tptp.res Y) (@ (@ tptp.par P2) (@ (@ (@ tptp.subs Q2) X) Y))))))))))
% 0.56/0.78 (assert (forall ((A tptp.name) (X2 tptp.name) (X1 tptp.name)) (let ((_let_1 (@ tptp.fresh_name_name A))) (= (@ (@ tptp.fresh_1641682979reeRes A) (@ (@ tptp.late_OutputR X2) X1)) (and (@ _let_1 X2) (@ _let_1 X1))))))
% 0.56/0.78 (assert (forall ((X1 tptp.name) (Y1 tptp.name)) (= (= (@ tptp.late_BoundOutputS X1) (@ tptp.late_BoundOutputS Y1)) (= X1 Y1))))
% 0.56/0.78 (assert (forall ((X2 tptp.name) (Y2 tptp.name)) (= (= (@ tptp.late_BoundOutputS X2) (@ tptp.late_BoundOutputS Y2)) (= X2 Y2))))
% 0.56/0.78 (assert (forall ((A tptp.name)) (@ (@ tptp.fresh_1641682979reeRes A) tptp.late_TauR)))
% 0.56/0.78 (assert (forall ((A tptp.name) (X2 tptp.late_freeRes) (X1 tptp.pi)) (= (@ (@ tptp.fresh_81631222sidual A) (@ (@ tptp.late_FreeR X2) X1)) (and (@ (@ tptp.fresh_1641682979reeRes A) X2) (@ (@ tptp.fresh_name_pi A) X1)))))
% 0.56/0.78 (assert (forall ((X tptp.name) (C tptp.name) (D tptp.name) (P tptp.pi)) (let ((_let_1 (@ tptp.res X))) (=> (not (= X C)) (=> (not (= X D)) (= (@ (@ (@ tptp.subs (@ _let_1 P)) C) D) (@ _let_1 (@ (@ (@ tptp.subs P) C) D))))))))
% 0.56/0.78 (assert (forall ((A tptp.name) (X1 tptp.name)) (= (@ (@ tptp.fresh_717452603ubject A) (@ tptp.late_InputS X1)) (@ (@ tptp.fresh_name_name A) X1))))
% 0.56/0.78 (assert (forall ((A tptp.name) (X1 tptp.name)) (= (@ (@ tptp.fresh_717452603ubject A) (@ tptp.late_BoundOutputS X1)) (@ (@ tptp.fresh_name_name A) X1))))
% 0.56/0.78 (assert (forall ((Y tptp.late_subject)) (=> (forall ((X13 tptp.name)) (not (= Y (@ tptp.late_InputS X13)))) (not (forall ((X22 tptp.name)) (not (= Y (@ tptp.late_BoundOutputS X22))))))))
% 0.56/0.78 (assert (forall ((X1 tptp.name) (X2 tptp.name)) (not (= (@ tptp.late_InputS X1) (@ tptp.late_BoundOutputS X2)))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (A tptp.late_subject) (X tptp.name) (P2 tptp.pi) (Y tptp.name)) (let ((_let_1 (@ tptp.res Y))) (let ((_let_2 (@ (@ tptp.late_BoundR A) X))) (=> (@ (@ tptp.late_transitions P) (@ _let_2 P2)) (=> (@ (@ tptp.fresh_717452603ubject Y) A) (=> (not (= Y X)) (@ (@ tptp.late_transitions (@ _let_1 P)) (@ _let_2 (@ _let_1 P2))))))))))
% 0.56/0.78 (assert (forall ((X tptp.name) (P tptp.pi) (Alpha tptp.late_freeRes) (XP tptp.pi) (F (-> tptp.pi Bool))) (=> (@ (@ tptp.late_transitions (@ (@ tptp.res X) P)) (@ (@ tptp.late_FreeR Alpha) XP)) (=> (forall ((P4 tptp.pi)) (=> (@ (@ tptp.late_transitions P) (@ (@ tptp.late_FreeR Alpha) P4)) (=> (@ (@ tptp.fresh_1641682979reeRes X) Alpha) (@ F (@ (@ tptp.res X) P4))))) (@ F XP)))))
% 0.56/0.78 (assert (forall ((X tptp.name) (P tptp.pi) (Alpha tptp.late_freeRes) (P2 tptp.pi)) (=> (@ (@ tptp.late_transitions (@ (@ tptp.res X) P)) (@ (@ tptp.late_FreeR Alpha) P2)) (not (forall ((P3 tptp.pi) (Alpha2 tptp.late_freeRes) (P4 tptp.pi) (Y3 tptp.name)) (let ((_let_1 (@ tptp.late_FreeR Alpha2))) (let ((_let_2 (@ tptp.res Y3))) (=> (= (@ (@ tptp.res X) P) (@ _let_2 P3)) (=> (= (@ (@ tptp.late_FreeR Alpha) P2) (@ _let_1 (@ _let_2 P4))) (=> (@ (@ tptp.late_transitions P3) (@ _let_1 P4)) (not (@ (@ tptp.fresh_1641682979reeRes Y3) Alpha2))))))))))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (Alpha tptp.late_freeRes) (P2 tptp.pi) (Y tptp.name)) (let ((_let_1 (@ tptp.res Y))) (let ((_let_2 (@ tptp.late_FreeR Alpha))) (=> (@ (@ tptp.late_transitions P) (@ _let_2 P2)) (=> (@ (@ tptp.fresh_1641682979reeRes Y) Alpha) (@ (@ tptp.late_transitions (@ _let_1 P)) (@ _let_2 (@ _let_1 P2)))))))))
% 0.56/0.78 (assert (forall ((Pi12 tptp.pi) (Pi23 tptp.pi) (Name3 tptp.name) (Pi3 tptp.pi)) (not (= (@ (@ tptp.par Pi12) Pi23) (@ (@ tptp.res Name3) Pi3)))))
% 0.56/0.78 (assert (forall ((A tptp.name) (P tptp.pi)) (@ (@ tptp.fresh_name_pi A) (@ (@ tptp.res A) P))))
% 0.56/0.78 (assert (forall ((Pi2 tptp.pi) (Name3 tptp.name) (Pi3 tptp.pi)) (not (= (@ tptp.tau Pi2) (@ (@ tptp.res Name3) Pi3)))))
% 0.56/0.78 (assert (forall ((X tptp.name) (P tptp.pi) (Rs tptp.late_residual)) (=> (@ (@ tptp.late_transitions (@ (@ tptp.res X) P)) Rs) (=> (forall ((P3 tptp.pi) (A3 tptp.name) (B2 tptp.name)) (=> (= (@ (@ tptp.res X) P) (@ (@ tptp.res B2) P3)) (forall ((P4 tptp.pi)) (=> (= Rs (@ (@ (@ tptp.late_BoundR (@ tptp.late_BoundOutputS A3)) B2) P4)) (=> (@ (@ tptp.late_transitions P3) (@ (@ tptp.late_FreeR (@ (@ tptp.late_OutputR A3) B2)) P4)) (= A3 B2)))))) (=> (forall ((P3 tptp.pi) (A3 tptp.late_subject) (X4 tptp.name) (P4 tptp.pi) (Y3 tptp.name)) (let ((_let_1 (@ (@ tptp.late_BoundR A3) X4))) (let ((_let_2 (@ tptp.res Y3))) (=> (= (@ (@ tptp.res X) P) (@ _let_2 P3)) (=> (= Rs (@ _let_1 (@ _let_2 P4))) (=> (@ (@ tptp.late_transitions P3) (@ _let_1 P4)) (=> (@ (@ tptp.fresh_717452603ubject Y3) A3) (=> (not (= Y3 X4)) (=> (@ (@ tptp.fresh_name_pi X4) P3) (not (@ (@ tptp.fresh_717452603ubject X4) A3))))))))))) (not (forall ((P3 tptp.pi) (Alpha2 tptp.late_freeRes) (P4 tptp.pi) (Y3 tptp.name)) (let ((_let_1 (@ tptp.late_FreeR Alpha2))) (let ((_let_2 (@ tptp.res Y3))) (=> (= (@ (@ tptp.res X) P) (@ _let_2 P3)) (=> (= Rs (@ _let_1 (@ _let_2 P4))) (=> (@ (@ tptp.late_transitions P3) (@ _let_1 P4)) (not (@ (@ tptp.fresh_1641682979reeRes Y3) Alpha2))))))))))))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (A tptp.late_subject) (X tptp.name) (P2 tptp.pi) (Y tptp.name)) (let ((_let_1 (@ tptp.res Y))) (let ((_let_2 (@ (@ tptp.late_BoundR A) X))) (=> (@ (@ tptp.late_transitions P) (@ _let_2 P2)) (=> (@ (@ tptp.fresh_717452603ubject Y) A) (=> (not (= Y X)) (=> (@ (@ tptp.fresh_name_pi X) P) (=> (@ (@ tptp.fresh_717452603ubject X) A) (@ (@ tptp.late_transitions (@ _let_1 P)) (@ _let_2 (@ _let_1 P2))))))))))))
% 0.56/0.78 (assert (forall ((P (-> tptp.late_subject Bool)) (Subject2 tptp.late_subject)) (=> (forall ((Name tptp.name)) (@ P (@ tptp.late_InputS Name))) (=> (forall ((Name tptp.name)) (@ P (@ tptp.late_BoundOutputS Name))) (@ P Subject2)))))
% 0.56/0.78 (assert (forall ((Name2 tptp.name) (Name3 tptp.name)) (not (= (@ tptp.late_InputS Name2) (@ tptp.late_BoundOutputS Name3)))))
% 0.56/0.78 (assert (forall ((X5 tptp.name) (P tptp.pi) (A tptp.late_subject) (Y4 tptp.name) (P2 tptp.pi)) (=> (@ (@ tptp.late_transitions (@ (@ tptp.res X5) P)) (@ (@ (@ tptp.late_BoundR A) Y4) P2)) (=> (forall ((P3 tptp.pi) (A3 tptp.name) (B2 tptp.name)) (=> (= (@ (@ tptp.res X5) P) (@ (@ tptp.res B2) P3)) (forall ((P4 tptp.pi)) (=> (= (@ (@ (@ tptp.late_BoundR A) Y4) P2) (@ (@ (@ tptp.late_BoundR (@ tptp.late_BoundOutputS A3)) B2) P4)) (=> (@ (@ tptp.late_transitions P3) (@ (@ tptp.late_FreeR (@ (@ tptp.late_OutputR A3) B2)) P4)) (= A3 B2)))))) (not (forall ((P3 tptp.pi) (A3 tptp.late_subject) (X4 tptp.name) (P4 tptp.pi) (Y3 tptp.name)) (let ((_let_1 (@ (@ tptp.late_BoundR A3) X4))) (let ((_let_2 (@ tptp.res Y3))) (=> (= (@ (@ tptp.res X5) P) (@ _let_2 P3)) (=> (= (@ (@ (@ tptp.late_BoundR A) Y4) P2) (@ _let_1 (@ _let_2 P4))) (=> (@ (@ tptp.late_transitions P3) (@ _let_1 P4)) (=> (@ (@ tptp.fresh_717452603ubject Y3) A3) (=> (not (= Y3 X4)) (=> (@ (@ tptp.fresh_name_pi X4) P3) (not (@ (@ tptp.fresh_717452603ubject X4) A3))))))))))))))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (Rs tptp.late_residual) (X tptp.name)) (=> (@ (@ tptp.late_transitions P) Rs) (=> (@ (@ tptp.fresh_name_pi X) P) (@ (@ tptp.fresh_81631222sidual X) Rs)))))
% 0.56/0.78 (assert (forall ((B tptp.name) (P tptp.pi) (A tptp.name)) (=> (@ (@ tptp.fresh_name_pi B) P) (= (@ (@ (@ tptp.subs (@ (@ tptp.res A) P)) A) B) (@ (@ tptp.res B) (@ (@ (@ tptp.subs P) A) B))))))
% 0.56/0.78 (assert (forall ((B tptp.name) (P tptp.pi) (A tptp.name)) (=> (@ (@ tptp.fresh_name_pi B) P) (= (@ (@ tptp.res A) P) (@ (@ tptp.res B) (@ (@ (@ tptp.subs P) A) B))))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (A tptp.name) (B tptp.name) (P2 tptp.pi)) (=> (@ (@ tptp.late_transitions P) (@ (@ tptp.late_FreeR (@ (@ tptp.late_OutputR A) B)) P2)) (=> (not (= A B)) (@ (@ tptp.late_transitions (@ (@ tptp.res B) P)) (@ (@ (@ tptp.late_BoundR (@ tptp.late_BoundOutputS A)) B) P2))))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (Alpha tptp.late_freeRes) (P2 tptp.pi) (Y tptp.name)) (=> (@ (@ tptp.late_transitions P) (@ (@ tptp.late_FreeR Alpha) P2)) (=> (@ (@ tptp.fresh_name_pi Y) P) (@ (@ tptp.fresh_1641682979reeRes Y) Alpha)))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (A tptp.late_subject) (X tptp.name) (P2 tptp.pi) (Y tptp.name)) (=> (@ (@ tptp.late_transitions P) (@ (@ (@ tptp.late_BoundR A) X) P2)) (=> (@ (@ tptp.fresh_name_pi Y) P) (@ (@ tptp.fresh_717452603ubject Y) A)))))
% 0.56/0.78 (assert (forall ((X tptp.name) (P tptp.pi) (A tptp.late_subject) (Y tptp.name) (P2 tptp.pi)) (not (@ (@ tptp.late_transitions (@ (@ tptp.res X) (@ tptp.tau P))) (@ (@ (@ tptp.late_BoundR A) Y) P2)))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (Q tptp.pi) (B tptp.late_subject) (Y tptp.name) (P2 tptp.pi)) (=> (@ (@ tptp.late_transitions (@ (@ tptp.par P) Q)) (@ (@ (@ tptp.late_BoundR B) Y) P2)) (=> (forall ((P3 tptp.pi) (A3 tptp.late_subject) (X4 tptp.name) (P4 tptp.pi) (Q4 tptp.pi)) (let ((_let_1 (@ tptp.fresh_name_pi X4))) (let ((_let_2 (@ (@ tptp.late_BoundR A3) X4))) (=> (= (@ (@ tptp.par P) Q) (@ (@ tptp.par P3) Q4)) (=> (= (@ (@ (@ tptp.late_BoundR B) Y) P2) (@ _let_2 (@ (@ tptp.par P4) Q4))) (=> (@ (@ tptp.late_transitions P3) (@ _let_2 P4)) (=> (@ _let_1 P3) (=> (@ _let_1 Q4) (not (@ (@ tptp.fresh_717452603ubject X4) A3)))))))))) (not (forall ((Q4 tptp.pi) (A3 tptp.late_subject) (X4 tptp.name) (Q3 tptp.pi) (P3 tptp.pi)) (let ((_let_1 (@ tptp.fresh_name_pi X4))) (let ((_let_2 (@ (@ tptp.late_BoundR A3) X4))) (let ((_let_3 (@ tptp.par P3))) (=> (= (@ (@ tptp.par P) Q) (@ _let_3 Q4)) (=> (= (@ (@ (@ tptp.late_BoundR B) Y) P2) (@ _let_2 (@ _let_3 Q3))) (=> (@ (@ tptp.late_transitions Q4) (@ _let_2 Q3)) (=> (@ _let_1 P3) (=> (@ _let_1 Q4) (not (@ (@ tptp.fresh_717452603ubject X4) A3))))))))))))))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (A tptp.late_subject) (X tptp.name) (P2 tptp.pi) (Q tptp.pi)) (let ((_let_1 (@ (@ tptp.late_BoundR A) X))) (let ((_let_2 (@ tptp.fresh_name_pi X))) (=> (@ (@ tptp.late_transitions P) (@ _let_1 P2)) (=> (@ _let_2 P) (=> (@ _let_2 Q) (=> (@ (@ tptp.fresh_717452603ubject X) A) (@ (@ tptp.late_transitions (@ (@ tptp.par P) Q)) (@ _let_1 (@ (@ tptp.par P2) Q)))))))))))
% 0.56/0.78 (assert (forall ((Q tptp.pi) (A tptp.late_subject) (X tptp.name) (Q2 tptp.pi) (P tptp.pi)) (let ((_let_1 (@ tptp.par P))) (let ((_let_2 (@ (@ tptp.late_BoundR A) X))) (let ((_let_3 (@ tptp.fresh_name_pi X))) (=> (@ (@ tptp.late_transitions Q) (@ _let_2 Q2)) (=> (@ _let_3 P) (=> (@ _let_3 Q) (=> (@ (@ tptp.fresh_717452603ubject X) A) (@ (@ tptp.late_transitions (@ _let_1 Q)) (@ _let_2 (@ _let_1 Q2))))))))))))
% 0.56/0.78 (assert (forall ((X tptp.name) (P tptp.pi) (A tptp.name) (B tptp.name) (P2 tptp.pi)) (not (@ (@ tptp.late_transitions (@ (@ tptp.res X) (@ tptp.tau P))) (@ (@ tptp.late_FreeR (@ (@ tptp.late_OutputR A) B)) P2)))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (A tptp.name) (X tptp.name) (P2 tptp.pi) (Q tptp.pi) (Y tptp.name) (Q2 tptp.pi)) (=> (@ (@ tptp.late_transitions P) (@ (@ (@ tptp.late_BoundR (@ tptp.late_InputS A)) X) P2)) (=> (@ (@ tptp.late_transitions Q) (@ (@ (@ tptp.late_BoundR (@ tptp.late_BoundOutputS A)) Y) Q2)) (=> (@ (@ tptp.fresh_name_pi Y) P) (@ (@ tptp.late_transitions (@ (@ tptp.par P) Q)) (@ (@ tptp.late_FreeR tptp.late_TauR) (@ (@ tptp.res Y) (@ (@ tptp.par (@ (@ (@ tptp.subs P2) X) Y)) Q2)))))))))
% 0.56/0.78 (assert (forall ((X tptp.name) (A tptp.name) (B tptp.name) (P tptp.pi) (P2 tptp.pi)) (not (@ (@ tptp.late_transitions (@ (@ tptp.res X) (@ (@ (@ tptp.output A) B) P))) (@ (@ tptp.late_FreeR tptp.late_TauR) P2)))))
% 0.56/0.78 (assert (forall ((X tptp.name) (A tptp.name) (B tptp.name) (P tptp.pi) (C tptp.name) (Y tptp.name) (P2 tptp.pi)) (not (@ (@ tptp.late_transitions (@ (@ tptp.res X) (@ (@ (@ tptp.output A) B) P))) (@ (@ (@ tptp.late_BoundR (@ tptp.late_InputS C)) Y) P2)))))
% 0.56/0.78 (assert (forall ((X tptp.name) (A tptp.name) (P tptp.pi) (B tptp.name) (Y tptp.name) (P2 tptp.pi)) (not (@ (@ tptp.late_transitions (@ (@ tptp.res X) (@ (@ (@ tptp.output A) X) P))) (@ (@ tptp.late_FreeR (@ (@ tptp.late_OutputR B) Y)) P2)))))
% 0.56/0.78 (assert (forall ((X tptp.name) (A tptp.name) (Y tptp.name) (P tptp.pi) (B tptp.name) (Z tptp.name) (P2 tptp.pi)) (not (@ (@ tptp.late_transitions (@ (@ tptp.res X) (@ (@ (@ tptp.input A) Y) P))) (@ (@ (@ tptp.late_BoundR (@ tptp.late_BoundOutputS B)) Z) P2)))))
% 0.56/0.78 (assert (forall ((A tptp.name) (B tptp.name) (P tptp.pi) (P2 tptp.pi)) (not (@ (@ tptp.late_transitions (@ (@ (@ tptp.output A) B) P)) (@ (@ tptp.late_FreeR tptp.late_TauR) P2)))))
% 0.56/0.78 (assert (forall ((A tptp.name) (B tptp.name) (P tptp.pi) (Alpha tptp.late_freeRes) (P2 tptp.pi) (Prop (-> tptp.late_freeRes tptp.pi Bool))) (let ((_let_1 (@ (@ tptp.late_OutputR A) B))) (=> (@ (@ tptp.late_transitions (@ (@ (@ tptp.output A) B) P)) (@ (@ tptp.late_FreeR Alpha) P2)) (=> (=> (= Alpha _let_1) (=> (= P P2) (@ (@ Prop _let_1) P))) (@ (@ Prop Alpha) P2))))))
% 0.56/0.78 (assert (forall ((A tptp.name) (B tptp.name) (P tptp.pi) (Rs tptp.late_residual)) (=> (@ (@ tptp.late_transitions (@ (@ (@ tptp.output A) B) P)) Rs) (not (forall ((A3 tptp.name) (B2 tptp.name) (P3 tptp.pi)) (=> (and (= A A3) (= B B2) (= P P3)) (not (= Rs (@ (@ tptp.late_FreeR (@ (@ tptp.late_OutputR A3) B2)) P3)))))))))
% 0.56/0.78 (assert (= tptp.fresh_name_name (lambda ((A4 tptp.name) (B3 tptp.name)) (not (= A4 B3)))))
% 0.56/0.78 (assert (forall ((A tptp.name) (X32 tptp.name) (X2 tptp.name) (X1 tptp.pi)) (let ((_let_1 (@ tptp.fresh_name_pi A))) (let ((_let_2 (@ tptp.fresh_name_name A))) (= (@ _let_1 (@ (@ (@ tptp.output X32) X2) X1)) (and (@ _let_2 X32) (@ _let_2 X2) (@ _let_1 X1)))))))
% 0.56/0.78 (assert (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Name13 tptp.name) (Name24 tptp.name) (Pi3 tptp.pi)) (not (= (@ (@ (@ tptp.output Name12) Name23) Pi2) (@ (@ (@ tptp.input Name13) Name24) Pi3)))))
% 0.56/0.78 (assert (forall ((X32 tptp.name) (X2 tptp.name) (X1 tptp.pi) (Y32 tptp.name) (Y2 tptp.name) (Y1 tptp.pi)) (= (= (@ (@ (@ tptp.output X32) X2) X1) (@ (@ (@ tptp.output Y32) Y2) Y1)) (and (= X32 Y32) (= X2 Y2) (= X1 Y1)))))
% 0.56/0.78 (assert (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Pi1 tptp.pi) (Pi22 tptp.pi)) (not (= (@ (@ (@ tptp.input Name12) Name23) Pi2) (@ (@ tptp.par Pi1) Pi22)))))
% 0.56/0.78 (assert (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Name3 tptp.name) (Pi3 tptp.pi)) (not (= (@ (@ (@ tptp.input Name12) Name23) Pi2) (@ (@ tptp.res Name3) Pi3)))))
% 0.56/0.78 (assert (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Pi1 tptp.pi) (Pi22 tptp.pi)) (not (= (@ (@ (@ tptp.output Name12) Name23) Pi2) (@ (@ tptp.par Pi1) Pi22)))))
% 0.56/0.78 (assert (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Name3 tptp.name) (Pi3 tptp.pi)) (not (= (@ (@ (@ tptp.output Name12) Name23) Pi2) (@ (@ tptp.res Name3) Pi3)))))
% 0.56/0.78 (assert (forall ((Pi2 tptp.pi) (Name13 tptp.name) (Name24 tptp.name) (Pi3 tptp.pi)) (not (= (@ tptp.tau Pi2) (@ (@ (@ tptp.input Name13) Name24) Pi3)))))
% 0.56/0.78 (assert (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Pi3 tptp.pi)) (not (= (@ (@ (@ tptp.output Name12) Name23) Pi2) (@ tptp.tau Pi3)))))
% 0.56/0.78 (assert (forall ((X tptp.name) (Y tptp.name) (P tptp.pi) (Rs tptp.late_residual)) (not (@ (@ tptp.late_transitions (@ (@ tptp.res X) (@ (@ (@ tptp.input X) Y) P))) Rs))))
% 0.56/0.78 (assert (forall ((A tptp.name) (X tptp.name) (P tptp.pi) (Alpha tptp.late_freeRes) (P2 tptp.pi)) (not (@ (@ tptp.late_transitions (@ (@ (@ tptp.input A) X) P)) (@ (@ tptp.late_FreeR Alpha) P2)))))
% 0.56/0.78 (assert (forall ((X tptp.name) (B tptp.name) (P tptp.pi) (Rs tptp.late_residual)) (not (@ (@ tptp.late_transitions (@ (@ tptp.res X) (@ (@ (@ tptp.output X) B) P))) Rs))))
% 0.56/0.78 (assert (forall ((A tptp.name) (B tptp.name) (P tptp.pi) (C tptp.late_subject) (X tptp.name) (P2 tptp.pi)) (not (@ (@ tptp.late_transitions (@ (@ (@ tptp.output A) B) P)) (@ (@ (@ tptp.late_BoundR C) X) P2)))))
% 0.56/0.78 (assert (forall ((A tptp.name) (B tptp.name) (P tptp.pi) (Alpha tptp.late_freeRes) (P2 tptp.pi)) (=> (@ (@ tptp.late_transitions (@ (@ (@ tptp.output A) B) P)) (@ (@ tptp.late_FreeR Alpha) P2)) (not (or (@ (@ tptp.fresh_1641682979reeRes A) Alpha) (@ (@ tptp.fresh_1641682979reeRes B) Alpha))))))
% 0.56/0.78 (assert (forall ((X tptp.name) (A tptp.name) (Y tptp.name) (P tptp.pi) (Alpha tptp.late_freeRes) (P2 tptp.pi)) (not (@ (@ tptp.late_transitions (@ (@ tptp.res X) (@ (@ (@ tptp.input A) Y) P))) (@ (@ tptp.late_FreeR Alpha) P2)))))
% 0.56/0.78 (assert (forall ((A tptp.name) (X tptp.name) (P tptp.pi)) (@ (@ tptp.late_transitions (@ (@ (@ tptp.input A) X) P)) (@ (@ (@ tptp.late_BoundR (@ tptp.late_InputS A)) X) P))))
% 0.56/0.78 (assert (forall ((X tptp.name) (A tptp.name) (P tptp.pi)) (=> (not (= X A)) (@ (@ tptp.late_transitions (@ (@ (@ tptp.input A) X) P)) (@ (@ (@ tptp.late_BoundR (@ tptp.late_InputS A)) X) P)))))
% 0.56/0.78 (assert (forall ((A tptp.name) (X tptp.name) (P tptp.pi) (B tptp.name) (Y tptp.name) (P2 tptp.pi)) (not (@ (@ tptp.late_transitions (@ (@ (@ tptp.input A) X) P)) (@ (@ (@ tptp.late_BoundR (@ tptp.late_BoundOutputS B)) Y) P2)))))
% 0.56/0.78 (assert (forall ((A tptp.name) (X tptp.name) (P tptp.pi) (B tptp.late_subject) (Y tptp.name) (P2 tptp.pi)) (=> (@ (@ tptp.late_transitions (@ (@ (@ tptp.input A) X) P)) (@ (@ (@ tptp.late_BoundR B) Y) P2)) (not (@ (@ tptp.fresh_717452603ubject A) B)))))
% 0.56/0.78 (assert (forall ((A tptp.name) (B tptp.name) (P tptp.pi)) (@ (@ tptp.late_transitions (@ (@ (@ tptp.output A) B) P)) (@ (@ tptp.late_FreeR (@ (@ tptp.late_OutputR A) B)) P))))
% 0.56/0.78 (assert (forall ((A tptp.name) (B tptp.name) (P tptp.pi) (C tptp.name) (D tptp.name) (P2 tptp.pi)) (=> (@ (@ tptp.late_transitions (@ (@ (@ tptp.output A) B) P)) (@ (@ tptp.late_FreeR (@ (@ tptp.late_OutputR C) D)) P2)) (not (or (not (= A C)) (not (= B D)))))))
% 0.56/0.78 (assert (forall ((A tptp.name) (X32 tptp.late_subject) (X1 tptp.name) (X2 tptp.pi)) (= (@ (@ tptp.fresh_81631222sidual A) (@ (@ (@ tptp.late_BoundR X32) X1) X2)) (and (@ (@ tptp.fresh_717452603ubject A) X32) (@ (@ tptp.fresh_543891186ion_pi A) (@ (@ tptp.abs_fun_name_pi X1) X2))))))
% 0.56/0.78 (assert (forall ((A tptp.name) (B tptp.name) (P tptp.pi) (C tptp.name) (D tptp.name)) (= (@ (@ (@ tptp.subs (@ (@ (@ tptp.output A) B) P)) C) D) (@ (@ (@ tptp.output (@ (@ (@ tptp.subst_name A) C) D)) (@ (@ (@ tptp.subst_name B) C) D)) (@ (@ (@ tptp.subs P) C) D)))))
% 0.56/0.78 (assert (forall ((X tptp.name) (B tptp.name) (C tptp.name) (A tptp.name) (P tptp.pi)) (=> (not (= X B)) (=> (not (= X C)) (= (@ (@ (@ tptp.subs (@ (@ (@ tptp.input A) X) P)) B) C) (@ (@ (@ tptp.input (@ (@ (@ tptp.subst_name A) B) C)) X) (@ (@ (@ tptp.subs P) B) C)))))))
% 0.56/0.78 (assert (forall ((X tptp.name) (A tptp.name) (C tptp.name) (D tptp.name) (P tptp.pi)) (=> (not (= X A)) (=> (not (= X C)) (=> (not (= X D)) (= (@ (@ (@ tptp.subs (@ (@ (@ tptp.input A) X) P)) C) D) (@ (@ (@ tptp.input (@ (@ (@ tptp.subst_name A) C) D)) X) (@ (@ (@ tptp.subs P) C) D))))))))
% 0.56/0.78 (assert (forall ((A tptp.name) (B tptp.name) (P tptp.pi) (Rs tptp.late_residual)) (=> (@ (@ tptp.late_transitions (@ (@ (@ tptp.input A) B) P)) Rs) (not (forall ((X4 tptp.name) (A3 tptp.name) (P3 tptp.pi)) (=> (and (= A A3) (= (@ (@ tptp.abs_fun_name_pi B) P) (@ (@ tptp.abs_fun_name_pi X4) P3))) (=> (= Rs (@ (@ (@ tptp.late_BoundR (@ tptp.late_InputS A3)) X4) P3)) (= X4 A3))))))))
% 0.56/0.78 (assert (forall ((A tptp.name) (X1 tptp.name) (X2 tptp.pi)) (= (@ (@ tptp.fresh_name_pi A) (@ (@ tptp.res X1) X2)) (@ (@ tptp.fresh_543891186ion_pi A) (@ (@ tptp.abs_fun_name_pi X1) X2)))))
% 0.56/0.78 (assert (forall ((A tptp.name) (X32 tptp.name) (X1 tptp.name) (X2 tptp.pi)) (= (@ (@ tptp.fresh_name_pi A) (@ (@ (@ tptp.input X32) X1) X2)) (and (@ (@ tptp.fresh_name_name A) X32) (@ (@ tptp.fresh_543891186ion_pi A) (@ (@ tptp.abs_fun_name_pi X1) X2))))))
% 0.56/0.78 (assert (forall ((X1 tptp.name) (X2 tptp.pi) (Y1 tptp.name) (Y2 tptp.pi)) (= (= (@ (@ tptp.res X1) X2) (@ (@ tptp.res Y1) Y2)) (= (@ (@ tptp.abs_fun_name_pi X1) X2) (@ (@ tptp.abs_fun_name_pi Y1) Y2)))))
% 0.56/0.78 (assert (forall ((X32 tptp.late_subject) (X1 tptp.name) (X2 tptp.pi) (Y32 tptp.late_subject) (Y1 tptp.name) (Y2 tptp.pi)) (= (= (@ (@ (@ tptp.late_BoundR X32) X1) X2) (@ (@ (@ tptp.late_BoundR Y32) Y1) Y2)) (and (= X32 Y32) (= (@ (@ tptp.abs_fun_name_pi X1) X2) (@ (@ tptp.abs_fun_name_pi Y1) Y2))))))
% 0.56/0.78 (assert (= tptp.subst_name (lambda ((A4 tptp.name) (B3 tptp.name) (C3 tptp.name)) (@ (@ (@ tptp.if_name (= A4 B3)) C3) A4))))
% 0.56/0.78 (assert (forall ((B tptp.name) (A tptp.name) (X tptp.late_subject)) (= (@ (@ tptp.fresh_728038529ubject B) (@ (@ tptp.abs_fu1904601852ubject A) X)) (or (= B A) (@ (@ tptp.fresh_717452603ubject B) X)))))
% 0.56/0.78 (assert (forall ((B tptp.name) (A tptp.name) (X tptp.late_freeRes)) (= (@ (@ tptp.fresh_785364841reeRes B) (@ (@ tptp.abs_fu681348580reeRes A) X)) (or (= B A) (@ (@ tptp.fresh_1641682979reeRes B) X)))))
% 0.56/0.78 (assert (forall ((B tptp.name) (A tptp.name) (X tptp.name)) (= (@ (@ tptp.fresh_1093033124n_name B) (@ (@ tptp.abs_fun_name_name A) X)) (or (= B A) (@ (@ tptp.fresh_name_name B) X)))))
% 0.56/0.78 (assert (forall ((B tptp.name) (A tptp.name) (X tptp.pi)) (= (@ (@ tptp.fresh_543891186ion_pi B) (@ (@ tptp.abs_fun_name_pi A) X)) (or (= B A) (@ (@ tptp.fresh_name_pi B) X)))))
% 0.56/0.78 (assert (forall ((B tptp.name) (A tptp.name) (X tptp.late_subject)) (= (@ (@ tptp.fresh_728038529ubject B) (@ (@ tptp.abs_fu1904601852ubject A) X)) (or (= B A) (@ (@ tptp.fresh_717452603ubject B) X)))))
% 0.56/0.78 (assert (forall ((B tptp.name) (A tptp.name) (X tptp.late_freeRes)) (= (@ (@ tptp.fresh_785364841reeRes B) (@ (@ tptp.abs_fu681348580reeRes A) X)) (or (= B A) (@ (@ tptp.fresh_1641682979reeRes B) X)))))
% 0.56/0.78 (assert (forall ((B tptp.name) (A tptp.name) (X tptp.name)) (= (@ (@ tptp.fresh_1093033124n_name B) (@ (@ tptp.abs_fun_name_name A) X)) (or (= B A) (@ (@ tptp.fresh_name_name B) X)))))
% 0.56/0.78 (assert (forall ((B tptp.name) (A tptp.name) (X tptp.pi)) (= (@ (@ tptp.fresh_543891186ion_pi B) (@ (@ tptp.abs_fun_name_pi A) X)) (or (= B A) (@ (@ tptp.fresh_name_pi B) X)))))
% 0.56/0.78 (assert (forall ((X32 tptp.name) (X1 tptp.name) (X2 tptp.pi) (Y32 tptp.name) (Y1 tptp.name) (Y2 tptp.pi)) (= (= (@ (@ (@ tptp.input X32) X1) X2) (@ (@ (@ tptp.input Y32) Y1) Y2)) (and (= X32 Y32) (= (@ (@ tptp.abs_fun_name_pi X1) X2) (@ (@ tptp.abs_fun_name_pi Y1) Y2))))))
% 0.56/0.78 (assert (forall ((A tptp.name) (B tptp.name) (P tptp.pi) (C tptp.name) (D tptp.name)) (= (@ (@ (@ tptp.subs (@ (@ (@ tptp.match A) B) P)) C) D) (@ (@ (@ tptp.match (@ (@ (@ tptp.subst_name A) C) D)) (@ (@ (@ tptp.subst_name B) C) D)) (@ (@ (@ tptp.subs P) C) D)))))
% 0.56/0.78 (assert (forall ((A tptp.name) (B tptp.name) (P tptp.pi) (C tptp.name) (D tptp.name)) (= (@ (@ (@ tptp.subs (@ (@ (@ tptp.mismatch A) B) P)) C) D) (@ (@ (@ tptp.mismatch (@ (@ (@ tptp.subst_name A) C) D)) (@ (@ (@ tptp.subst_name B) C) D)) (@ (@ (@ tptp.subs P) C) D)))))
% 0.56/0.78 (assert (forall ((A tptp.name) (X32 tptp.name) (X2 tptp.name) (X1 tptp.pi)) (let ((_let_1 (@ tptp.fresh_name_pi A))) (let ((_let_2 (@ tptp.fresh_name_name A))) (= (@ _let_1 (@ (@ (@ tptp.match X32) X2) X1)) (and (@ _let_2 X32) (@ _let_2 X2) (@ _let_1 X1)))))))
% 0.56/0.78 (assert (forall ((A tptp.name) (X32 tptp.name) (X2 tptp.name) (X1 tptp.pi)) (let ((_let_1 (@ tptp.fresh_name_pi A))) (let ((_let_2 (@ tptp.fresh_name_name A))) (= (@ _let_1 (@ (@ (@ tptp.mismatch X32) X2) X1)) (and (@ _let_2 X32) (@ _let_2 X2) (@ _let_1 X1)))))))
% 0.56/0.78 (assert (forall ((A tptp.name) (B tptp.name) (P tptp.pi) (Rs tptp.late_residual) (F (-> tptp.name tptp.name Bool))) (let ((_let_1 (@ F A))) (=> (@ (@ tptp.late_transitions (@ (@ (@ tptp.match A) B) P)) Rs) (=> (=> (@ (@ tptp.late_transitions P) Rs) (=> (= A B) (@ _let_1 A))) (@ _let_1 B))))))
% 0.56/0.78 (assert (forall ((A tptp.name) (B tptp.name) (P tptp.pi) (Rs tptp.late_residual)) (=> (@ (@ tptp.late_transitions (@ (@ (@ tptp.match A) B) P)) Rs) (= A B))))
% 0.56/0.78 (assert (forall ((A tptp.name) (B tptp.name) (P tptp.pi) (Rs tptp.late_residual)) (=> (@ (@ tptp.late_transitions (@ (@ (@ tptp.match A) B) P)) Rs) (not (forall ((P3 tptp.pi)) (=> (and (= B A) (= P P3)) (not (@ (@ tptp.late_transitions P3) Rs))))))))
% 0.56/0.78 (assert (forall ((A tptp.name) (B tptp.name) (P tptp.pi) (Rs tptp.late_residual) (F (-> tptp.name tptp.name Bool))) (let ((_let_1 (@ (@ F A) B))) (=> (@ (@ tptp.late_transitions (@ (@ (@ tptp.mismatch A) B) P)) Rs) (=> (=> (@ (@ tptp.late_transitions P) Rs) (=> (not (= A B)) _let_1)) _let_1)))))
% 0.56/0.78 (assert (forall ((A tptp.name) (P tptp.pi) (Rs tptp.late_residual)) (not (@ (@ tptp.late_transitions (@ (@ (@ tptp.mismatch A) A) P)) Rs))))
% 0.56/0.78 (assert (forall ((A tptp.name) (B tptp.name) (P tptp.pi) (Rs tptp.late_residual)) (=> (@ (@ tptp.late_transitions (@ (@ (@ tptp.mismatch A) B) P)) Rs) (not (forall ((P3 tptp.pi) (A3 tptp.name) (B2 tptp.name)) (=> (and (= A A3) (= B B2) (= P P3)) (=> (@ (@ tptp.late_transitions P3) Rs) (= A3 B2))))))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (Rs tptp.late_residual) (B tptp.name)) (=> (@ (@ tptp.late_transitions P) Rs) (@ (@ tptp.late_transitions (@ (@ (@ tptp.match B) B) P)) Rs))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (Rs tptp.late_residual) (A tptp.name) (B tptp.name)) (=> (@ (@ tptp.late_transitions P) Rs) (=> (not (= A B)) (@ (@ tptp.late_transitions (@ (@ (@ tptp.mismatch A) B) P)) Rs)))))
% 0.56/0.78 (assert (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Pi1 tptp.pi) (Pi22 tptp.pi)) (not (= (@ (@ (@ tptp.mismatch Name12) Name23) Pi2) (@ (@ tptp.par Pi1) Pi22)))))
% 0.56/0.78 (assert (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Pi1 tptp.pi) (Pi22 tptp.pi)) (not (= (@ (@ (@ tptp.match Name12) Name23) Pi2) (@ (@ tptp.par Pi1) Pi22)))))
% 0.56/0.78 (assert (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Name3 tptp.name) (Pi3 tptp.pi)) (not (= (@ (@ (@ tptp.mismatch Name12) Name23) Pi2) (@ (@ tptp.res Name3) Pi3)))))
% 0.56/0.78 (assert (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Name3 tptp.name) (Pi3 tptp.pi)) (not (= (@ (@ (@ tptp.match Name12) Name23) Pi2) (@ (@ tptp.res Name3) Pi3)))))
% 0.56/0.78 (assert (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Name13 tptp.name) (Name24 tptp.name) (Pi3 tptp.pi)) (not (= (@ (@ (@ tptp.match Name12) Name23) Pi2) (@ (@ (@ tptp.mismatch Name13) Name24) Pi3)))))
% 0.56/0.78 (assert (forall ((X32 tptp.name) (X2 tptp.name) (X1 tptp.pi) (Y32 tptp.name) (Y2 tptp.name) (Y1 tptp.pi)) (= (= (@ (@ (@ tptp.match X32) X2) X1) (@ (@ (@ tptp.match Y32) Y2) Y1)) (and (= X32 Y32) (= X2 Y2) (= X1 Y1)))))
% 0.56/0.78 (assert (forall ((X32 tptp.name) (X2 tptp.name) (X1 tptp.pi) (Y32 tptp.name) (Y2 tptp.name) (Y1 tptp.pi)) (= (= (@ (@ (@ tptp.mismatch X32) X2) X1) (@ (@ (@ tptp.mismatch Y32) Y2) Y1)) (and (= X32 Y32) (= X2 Y2) (= X1 Y1)))))
% 0.56/0.78 (assert (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Name13 tptp.name) (Name24 tptp.name) (Pi3 tptp.pi)) (not (= (@ (@ (@ tptp.input Name12) Name23) Pi2) (@ (@ (@ tptp.match Name13) Name24) Pi3)))))
% 0.56/0.78 (assert (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Name13 tptp.name) (Name24 tptp.name) (Pi3 tptp.pi)) (not (= (@ (@ (@ tptp.input Name12) Name23) Pi2) (@ (@ (@ tptp.mismatch Name13) Name24) Pi3)))))
% 0.56/0.78 (assert (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Name13 tptp.name) (Name24 tptp.name) (Pi3 tptp.pi)) (not (= (@ (@ (@ tptp.output Name12) Name23) Pi2) (@ (@ (@ tptp.match Name13) Name24) Pi3)))))
% 0.56/0.78 (assert (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Name13 tptp.name) (Name24 tptp.name) (Pi3 tptp.pi)) (not (= (@ (@ (@ tptp.output Name12) Name23) Pi2) (@ (@ (@ tptp.mismatch Name13) Name24) Pi3)))))
% 0.56/0.78 (assert (forall ((Pi2 tptp.pi) (Name13 tptp.name) (Name24 tptp.name) (Pi3 tptp.pi)) (not (= (@ tptp.tau Pi2) (@ (@ (@ tptp.mismatch Name13) Name24) Pi3)))))
% 0.56/0.78 (assert (forall ((Pi2 tptp.pi) (Name13 tptp.name) (Name24 tptp.name) (Pi3 tptp.pi)) (not (= (@ tptp.tau Pi2) (@ (@ (@ tptp.match Name13) Name24) Pi3)))))
% 0.56/0.78 (assert (forall ((A tptp.name) (X tptp.name) (Y tptp.name)) (let ((_let_1 (@ tptp.abs_fun_name_name A))) (= (= (@ _let_1 X) (@ _let_1 Y)) (= X Y)))))
% 0.56/0.78 (assert (forall ((A tptp.name) (X tptp.late_freeRes) (Y tptp.late_freeRes)) (let ((_let_1 (@ tptp.abs_fu681348580reeRes A))) (= (= (@ _let_1 X) (@ _let_1 Y)) (= X Y)))))
% 0.56/0.78 (assert (forall ((A tptp.name) (X tptp.late_subject) (Y tptp.late_subject)) (let ((_let_1 (@ tptp.abs_fu1904601852ubject A))) (= (= (@ _let_1 X) (@ _let_1 Y)) (= X Y)))))
% 0.56/0.78 (assert (forall ((A tptp.name) (X (-> tptp.name tptp.noption_pi)) (Y (-> tptp.name tptp.noption_pi))) (let ((_let_1 (@ tptp.abs_fu1614711987ion_pi A))) (= (= (@ _let_1 X) (@ _let_1 Y)) (= X Y)))))
% 0.56/0.78 (assert (forall ((A tptp.name) (X tptp.pi) (Y tptp.pi)) (let ((_let_1 (@ tptp.abs_fun_name_pi A))) (= (= (@ _let_1 X) (@ _let_1 Y)) (= X Y)))))
% 0.56/0.78 (assert (forall ((P (-> tptp.late_subject tptp.pi Bool)) (Z tptp.late_subject) (Pi2 tptp.pi)) (=> (forall ((Z2 tptp.late_subject)) (@ (@ P Z2) tptp.piNil)) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.late_subject)) (=> (forall ((Za tptp.late_subject)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.output Name1) Name22) Pi)))) (=> (forall ((Pi tptp.pi) (Z2 tptp.late_subject)) (=> (forall ((Za tptp.late_subject)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ tptp.tau Pi)))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.late_subject)) (=> (@ (@ tptp.fresh_717452603ubject Name22) Z2) (=> (@ (@ tptp.fresh_name_name Name22) Name1) (=> (forall ((Za tptp.late_subject)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.input Name1) Name22) Pi)))))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.late_subject)) (=> (forall ((Za tptp.late_subject)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.match Name1) Name22) Pi)))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.late_subject)) (=> (forall ((Za tptp.late_subject)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.mismatch Name1) Name22) Pi)))) (=> (forall ((Pi13 tptp.pi) (Pi24 tptp.pi) (Z2 tptp.late_subject)) (=> (forall ((Za tptp.late_subject)) (@ (@ P Za) Pi13)) (=> (forall ((Za tptp.late_subject)) (@ (@ P Za) Pi24)) (@ (@ P Z2) (@ (@ tptp.sum Pi13) Pi24))))) (=> (forall ((Pi13 tptp.pi) (Pi24 tptp.pi) (Z2 tptp.late_subject)) (=> (forall ((Za tptp.late_subject)) (@ (@ P Za) Pi13)) (=> (forall ((Za tptp.late_subject)) (@ (@ P Za) Pi24)) (@ (@ P Z2) (@ (@ tptp.par Pi13) Pi24))))) (=> (forall ((Name tptp.name) (Pi tptp.pi) (Z2 tptp.late_subject)) (=> (@ (@ tptp.fresh_717452603ubject Name) Z2) (=> (forall ((Za tptp.late_subject)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ tptp.res Name) Pi))))) (=> (forall ((Pi tptp.pi) (Z2 tptp.late_subject)) (=> (forall ((Za tptp.late_subject)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ tptp.bang Pi)))) (@ (@ P Z) Pi2)))))))))))))
% 0.56/0.78 (assert (forall ((P (-> tptp.late_freeRes tptp.pi Bool)) (Z tptp.late_freeRes) (Pi2 tptp.pi)) (=> (forall ((Z2 tptp.late_freeRes)) (@ (@ P Z2) tptp.piNil)) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.late_freeRes)) (=> (forall ((Za tptp.late_freeRes)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.output Name1) Name22) Pi)))) (=> (forall ((Pi tptp.pi) (Z2 tptp.late_freeRes)) (=> (forall ((Za tptp.late_freeRes)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ tptp.tau Pi)))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.late_freeRes)) (=> (@ (@ tptp.fresh_1641682979reeRes Name22) Z2) (=> (@ (@ tptp.fresh_name_name Name22) Name1) (=> (forall ((Za tptp.late_freeRes)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.input Name1) Name22) Pi)))))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.late_freeRes)) (=> (forall ((Za tptp.late_freeRes)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.match Name1) Name22) Pi)))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.late_freeRes)) (=> (forall ((Za tptp.late_freeRes)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.mismatch Name1) Name22) Pi)))) (=> (forall ((Pi13 tptp.pi) (Pi24 tptp.pi) (Z2 tptp.late_freeRes)) (=> (forall ((Za tptp.late_freeRes)) (@ (@ P Za) Pi13)) (=> (forall ((Za tptp.late_freeRes)) (@ (@ P Za) Pi24)) (@ (@ P Z2) (@ (@ tptp.sum Pi13) Pi24))))) (=> (forall ((Pi13 tptp.pi) (Pi24 tptp.pi) (Z2 tptp.late_freeRes)) (=> (forall ((Za tptp.late_freeRes)) (@ (@ P Za) Pi13)) (=> (forall ((Za tptp.late_freeRes)) (@ (@ P Za) Pi24)) (@ (@ P Z2) (@ (@ tptp.par Pi13) Pi24))))) (=> (forall ((Name tptp.name) (Pi tptp.pi) (Z2 tptp.late_freeRes)) (=> (@ (@ tptp.fresh_1641682979reeRes Name) Z2) (=> (forall ((Za tptp.late_freeRes)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ tptp.res Name) Pi))))) (=> (forall ((Pi tptp.pi) (Z2 tptp.late_freeRes)) (=> (forall ((Za tptp.late_freeRes)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ tptp.bang Pi)))) (@ (@ P Z) Pi2)))))))))))))
% 0.56/0.78 (assert (forall ((P (-> tptp.name tptp.pi Bool)) (Z tptp.name) (Pi2 tptp.pi)) (=> (forall ((Z2 tptp.name)) (@ (@ P Z2) tptp.piNil)) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.name)) (=> (forall ((Za tptp.name)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.output Name1) Name22) Pi)))) (=> (forall ((Pi tptp.pi) (Z2 tptp.name)) (=> (forall ((Za tptp.name)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ tptp.tau Pi)))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.name)) (let ((_let_1 (@ tptp.fresh_name_name Name22))) (=> (@ _let_1 Z2) (=> (@ _let_1 Name1) (=> (forall ((Za tptp.name)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.input Name1) Name22) Pi))))))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.name)) (=> (forall ((Za tptp.name)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.match Name1) Name22) Pi)))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.name)) (=> (forall ((Za tptp.name)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.mismatch Name1) Name22) Pi)))) (=> (forall ((Pi13 tptp.pi) (Pi24 tptp.pi) (Z2 tptp.name)) (=> (forall ((Za tptp.name)) (@ (@ P Za) Pi13)) (=> (forall ((Za tptp.name)) (@ (@ P Za) Pi24)) (@ (@ P Z2) (@ (@ tptp.sum Pi13) Pi24))))) (=> (forall ((Pi13 tptp.pi) (Pi24 tptp.pi) (Z2 tptp.name)) (=> (forall ((Za tptp.name)) (@ (@ P Za) Pi13)) (=> (forall ((Za tptp.name)) (@ (@ P Za) Pi24)) (@ (@ P Z2) (@ (@ tptp.par Pi13) Pi24))))) (=> (forall ((Name tptp.name) (Pi tptp.pi) (Z2 tptp.name)) (=> (@ (@ tptp.fresh_name_name Name) Z2) (=> (forall ((Za tptp.name)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ tptp.res Name) Pi))))) (=> (forall ((Pi tptp.pi) (Z2 tptp.name)) (=> (forall ((Za tptp.name)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ tptp.bang Pi)))) (@ (@ P Z) Pi2)))))))))))))
% 0.56/0.78 (assert (forall ((P (-> tptp.pi tptp.pi Bool)) (Z tptp.pi) (Pi2 tptp.pi)) (=> (forall ((Z2 tptp.pi)) (@ (@ P Z2) tptp.piNil)) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.pi)) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.output Name1) Name22) Pi)))) (=> (forall ((Pi tptp.pi) (Z2 tptp.pi)) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ tptp.tau Pi)))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.pi)) (=> (@ (@ tptp.fresh_name_pi Name22) Z2) (=> (@ (@ tptp.fresh_name_name Name22) Name1) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.input Name1) Name22) Pi)))))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.pi)) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.match Name1) Name22) Pi)))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.pi)) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.mismatch Name1) Name22) Pi)))) (=> (forall ((Pi13 tptp.pi) (Pi24 tptp.pi) (Z2 tptp.pi)) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi13)) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi24)) (@ (@ P Z2) (@ (@ tptp.sum Pi13) Pi24))))) (=> (forall ((Pi13 tptp.pi) (Pi24 tptp.pi) (Z2 tptp.pi)) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi13)) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi24)) (@ (@ P Z2) (@ (@ tptp.par Pi13) Pi24))))) (=> (forall ((Name tptp.name) (Pi tptp.pi) (Z2 tptp.pi)) (=> (@ (@ tptp.fresh_name_pi Name) Z2) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ tptp.res Name) Pi))))) (=> (forall ((Pi tptp.pi) (Z2 tptp.pi)) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ tptp.bang Pi)))) (@ (@ P Z) Pi2)))))))))))))
% 0.56/0.78 (assert (forall ((P (-> tptp.late_subject tptp.pi Bool)) (Z tptp.late_subject) (Pi2 tptp.pi)) (=> (forall ((Z2 tptp.late_subject)) (@ (@ P Z2) tptp.piNil)) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.late_subject)) (=> (forall ((Za tptp.late_subject)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.output Name1) Name22) Pi)))) (=> (forall ((Pi tptp.pi) (Z2 tptp.late_subject)) (=> (forall ((Za tptp.late_subject)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ tptp.tau Pi)))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.late_subject)) (=> (@ (@ tptp.fresh_717452603ubject Name22) Z2) (=> (@ (@ tptp.fresh_name_name Name22) Name1) (=> (forall ((Za tptp.late_subject)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.input Name1) Name22) Pi)))))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.late_subject)) (=> (forall ((Za tptp.late_subject)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.match Name1) Name22) Pi)))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.late_subject)) (=> (forall ((Za tptp.late_subject)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.mismatch Name1) Name22) Pi)))) (=> (forall ((Pi13 tptp.pi) (Pi24 tptp.pi) (Z2 tptp.late_subject)) (=> (forall ((Za tptp.late_subject)) (@ (@ P Za) Pi13)) (=> (forall ((Za tptp.late_subject)) (@ (@ P Za) Pi24)) (@ (@ P Z2) (@ (@ tptp.sum Pi13) Pi24))))) (=> (forall ((Pi13 tptp.pi) (Pi24 tptp.pi) (Z2 tptp.late_subject)) (=> (forall ((Za tptp.late_subject)) (@ (@ P Za) Pi13)) (=> (forall ((Za tptp.late_subject)) (@ (@ P Za) Pi24)) (@ (@ P Z2) (@ (@ tptp.par Pi13) Pi24))))) (=> (forall ((Name tptp.name) (Pi tptp.pi) (Z2 tptp.late_subject)) (=> (@ (@ tptp.fresh_717452603ubject Name) Z2) (=> (forall ((Za tptp.late_subject)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ tptp.res Name) Pi))))) (=> (forall ((Pi tptp.pi) (Z2 tptp.late_subject)) (=> (forall ((Za tptp.late_subject)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ tptp.bang Pi)))) (@ (@ P Z) Pi2)))))))))))))
% 0.56/0.78 (assert (forall ((P (-> tptp.late_freeRes tptp.pi Bool)) (Z tptp.late_freeRes) (Pi2 tptp.pi)) (=> (forall ((Z2 tptp.late_freeRes)) (@ (@ P Z2) tptp.piNil)) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.late_freeRes)) (=> (forall ((Za tptp.late_freeRes)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.output Name1) Name22) Pi)))) (=> (forall ((Pi tptp.pi) (Z2 tptp.late_freeRes)) (=> (forall ((Za tptp.late_freeRes)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ tptp.tau Pi)))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.late_freeRes)) (=> (@ (@ tptp.fresh_1641682979reeRes Name22) Z2) (=> (@ (@ tptp.fresh_name_name Name22) Name1) (=> (forall ((Za tptp.late_freeRes)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.input Name1) Name22) Pi)))))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.late_freeRes)) (=> (forall ((Za tptp.late_freeRes)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.match Name1) Name22) Pi)))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.late_freeRes)) (=> (forall ((Za tptp.late_freeRes)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.mismatch Name1) Name22) Pi)))) (=> (forall ((Pi13 tptp.pi) (Pi24 tptp.pi) (Z2 tptp.late_freeRes)) (=> (forall ((Za tptp.late_freeRes)) (@ (@ P Za) Pi13)) (=> (forall ((Za tptp.late_freeRes)) (@ (@ P Za) Pi24)) (@ (@ P Z2) (@ (@ tptp.sum Pi13) Pi24))))) (=> (forall ((Pi13 tptp.pi) (Pi24 tptp.pi) (Z2 tptp.late_freeRes)) (=> (forall ((Za tptp.late_freeRes)) (@ (@ P Za) Pi13)) (=> (forall ((Za tptp.late_freeRes)) (@ (@ P Za) Pi24)) (@ (@ P Z2) (@ (@ tptp.par Pi13) Pi24))))) (=> (forall ((Name tptp.name) (Pi tptp.pi) (Z2 tptp.late_freeRes)) (=> (@ (@ tptp.fresh_1641682979reeRes Name) Z2) (=> (forall ((Za tptp.late_freeRes)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ tptp.res Name) Pi))))) (=> (forall ((Pi tptp.pi) (Z2 tptp.late_freeRes)) (=> (forall ((Za tptp.late_freeRes)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ tptp.bang Pi)))) (@ (@ P Z) Pi2)))))))))))))
% 0.56/0.78 (assert (forall ((P (-> tptp.name tptp.pi Bool)) (Z tptp.name) (Pi2 tptp.pi)) (=> (forall ((Z2 tptp.name)) (@ (@ P Z2) tptp.piNil)) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.name)) (=> (forall ((Za tptp.name)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.output Name1) Name22) Pi)))) (=> (forall ((Pi tptp.pi) (Z2 tptp.name)) (=> (forall ((Za tptp.name)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ tptp.tau Pi)))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.name)) (let ((_let_1 (@ tptp.fresh_name_name Name22))) (=> (@ _let_1 Z2) (=> (@ _let_1 Name1) (=> (forall ((Za tptp.name)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.input Name1) Name22) Pi))))))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.name)) (=> (forall ((Za tptp.name)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.match Name1) Name22) Pi)))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.name)) (=> (forall ((Za tptp.name)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.mismatch Name1) Name22) Pi)))) (=> (forall ((Pi13 tptp.pi) (Pi24 tptp.pi) (Z2 tptp.name)) (=> (forall ((Za tptp.name)) (@ (@ P Za) Pi13)) (=> (forall ((Za tptp.name)) (@ (@ P Za) Pi24)) (@ (@ P Z2) (@ (@ tptp.sum Pi13) Pi24))))) (=> (forall ((Pi13 tptp.pi) (Pi24 tptp.pi) (Z2 tptp.name)) (=> (forall ((Za tptp.name)) (@ (@ P Za) Pi13)) (=> (forall ((Za tptp.name)) (@ (@ P Za) Pi24)) (@ (@ P Z2) (@ (@ tptp.par Pi13) Pi24))))) (=> (forall ((Name tptp.name) (Pi tptp.pi) (Z2 tptp.name)) (=> (@ (@ tptp.fresh_name_name Name) Z2) (=> (forall ((Za tptp.name)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ tptp.res Name) Pi))))) (=> (forall ((Pi tptp.pi) (Z2 tptp.name)) (=> (forall ((Za tptp.name)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ tptp.bang Pi)))) (@ (@ P Z) Pi2)))))))))))))
% 0.56/0.78 (assert (forall ((P (-> tptp.pi tptp.pi Bool)) (Z tptp.pi) (Pi2 tptp.pi)) (=> (forall ((Z2 tptp.pi)) (@ (@ P Z2) tptp.piNil)) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.pi)) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.output Name1) Name22) Pi)))) (=> (forall ((Pi tptp.pi) (Z2 tptp.pi)) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ tptp.tau Pi)))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.pi)) (=> (@ (@ tptp.fresh_name_pi Name22) Z2) (=> (@ (@ tptp.fresh_name_name Name22) Name1) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.input Name1) Name22) Pi)))))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.pi)) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.match Name1) Name22) Pi)))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi) (Z2 tptp.pi)) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ (@ tptp.mismatch Name1) Name22) Pi)))) (=> (forall ((Pi13 tptp.pi) (Pi24 tptp.pi) (Z2 tptp.pi)) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi13)) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi24)) (@ (@ P Z2) (@ (@ tptp.sum Pi13) Pi24))))) (=> (forall ((Pi13 tptp.pi) (Pi24 tptp.pi) (Z2 tptp.pi)) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi13)) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi24)) (@ (@ P Z2) (@ (@ tptp.par Pi13) Pi24))))) (=> (forall ((Name tptp.name) (Pi tptp.pi) (Z2 tptp.pi)) (=> (@ (@ tptp.fresh_name_pi Name) Z2) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ tptp.res Name) Pi))))) (=> (forall ((Pi tptp.pi) (Z2 tptp.pi)) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ tptp.bang Pi)))) (@ (@ P Z) Pi2)))))))))))))
% 0.56/0.78 (assert (forall ((A tptp.name) (X1 tptp.pi)) (let ((_let_1 (@ tptp.fresh_name_pi A))) (= (@ _let_1 (@ tptp.bang X1)) (@ _let_1 X1)))))
% 0.56/0.78 (assert (forall ((A tptp.name) (X2 tptp.pi) (X1 tptp.pi)) (let ((_let_1 (@ tptp.fresh_name_pi A))) (= (@ _let_1 (@ (@ tptp.sum X2) X1)) (and (@ _let_1 X2) (@ _let_1 X1))))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (C tptp.name) (D tptp.name)) (= (@ (@ (@ tptp.subs (@ tptp.bang P)) C) D) (@ tptp.bang (@ (@ (@ tptp.subs P) C) D)))))
% 0.56/0.78 (assert (forall ((A tptp.name)) (@ (@ tptp.fresh_name_pi A) tptp.piNil)))
% 0.56/0.78 (assert (forall ((P tptp.pi) (Q tptp.pi) (C tptp.name) (D tptp.name)) (= (@ (@ (@ tptp.subs (@ (@ tptp.sum P) Q)) C) D) (@ (@ tptp.sum (@ (@ (@ tptp.subs P) C) D)) (@ (@ (@ tptp.subs Q) C) D)))))
% 0.56/0.78 (assert (forall ((C tptp.name) (D tptp.name)) (= (@ (@ (@ tptp.subs tptp.piNil) C) D) tptp.piNil)))
% 0.56/0.78 (assert (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Pi3 tptp.pi)) (not (= (@ (@ (@ tptp.input Name12) Name23) Pi2) (@ tptp.bang Pi3)))))
% 0.56/0.78 (assert (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Pi3 tptp.pi)) (not (= (@ (@ (@ tptp.output Name12) Name23) Pi2) (@ tptp.bang Pi3)))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (Q tptp.pi) (Rs tptp.late_residual)) (=> (@ (@ tptp.late_transitions (@ (@ tptp.sum P) Q)) Rs) (=> (not (@ (@ tptp.late_transitions P) Rs)) (@ (@ tptp.late_transitions Q) Rs)))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (Q tptp.pi) (Rs tptp.late_residual)) (=> (@ (@ tptp.late_transitions (@ (@ tptp.sum P) Q)) Rs) (=> (not (@ (@ tptp.late_transitions P) Rs)) (@ (@ tptp.late_transitions Q) Rs)))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (Rs tptp.late_residual) (Q tptp.pi)) (=> (@ (@ tptp.late_transitions P) Rs) (@ (@ tptp.late_transitions (@ (@ tptp.sum P) Q)) Rs))))
% 0.56/0.78 (assert (forall ((Q tptp.pi) (Rs tptp.late_residual) (P tptp.pi)) (=> (@ (@ tptp.late_transitions Q) Rs) (@ (@ tptp.late_transitions (@ (@ tptp.sum P) Q)) Rs))))
% 0.56/0.78 (assert (forall ((Pi2 tptp.pi) (Pi3 tptp.pi)) (not (= (@ tptp.tau Pi2) (@ tptp.bang Pi3)))))
% 0.56/0.78 (assert (forall ((Pi12 tptp.pi) (Pi23 tptp.pi) (Pi1 tptp.pi) (Pi22 tptp.pi)) (not (= (@ (@ tptp.sum Pi12) Pi23) (@ (@ tptp.par Pi1) Pi22)))))
% 0.56/0.78 (assert (forall ((Pi12 tptp.pi) (Pi23 tptp.pi) (Name3 tptp.name) (Pi3 tptp.pi)) (not (= (@ (@ tptp.sum Pi12) Pi23) (@ (@ tptp.res Name3) Pi3)))))
% 0.56/0.78 (assert (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Pi1 tptp.pi) (Pi22 tptp.pi)) (not (= (@ (@ (@ tptp.input Name12) Name23) Pi2) (@ (@ tptp.sum Pi1) Pi22)))))
% 0.56/0.78 (assert (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Pi1 tptp.pi) (Pi22 tptp.pi)) (not (= (@ (@ (@ tptp.output Name12) Name23) Pi2) (@ (@ tptp.sum Pi1) Pi22)))))
% 0.56/0.78 (assert (forall ((Pi2 tptp.pi) (Pi1 tptp.pi) (Pi22 tptp.pi)) (not (= (@ tptp.tau Pi2) (@ (@ tptp.sum Pi1) Pi22)))))
% 0.56/0.78 (assert (forall ((Rs tptp.late_residual)) (not (@ (@ tptp.late_transitions tptp.piNil) Rs))))
% 0.56/0.78 (assert (forall ((Rs tptp.late_residual)) (not (@ (@ tptp.late_transitions tptp.piNil) Rs))))
% 0.56/0.78 (assert (forall ((Pi1 tptp.pi) (Pi22 tptp.pi)) (not (= tptp.piNil (@ (@ tptp.par Pi1) Pi22)))))
% 0.56/0.78 (assert (forall ((Name3 tptp.name) (Pi3 tptp.pi)) (not (= tptp.piNil (@ (@ tptp.res Name3) Pi3)))))
% 0.56/0.78 (assert (forall ((Pi1 tptp.pi) (Pi22 tptp.pi)) (not (= tptp.piNil (@ (@ tptp.sum Pi1) Pi22)))))
% 0.56/0.78 (assert (forall ((Pi3 tptp.pi)) (not (= tptp.piNil (@ tptp.bang Pi3)))))
% 0.56/0.78 (assert (forall ((Pi12 tptp.pi) (Pi23 tptp.pi) (Pi3 tptp.pi)) (not (= (@ (@ tptp.sum Pi12) Pi23) (@ tptp.bang Pi3)))))
% 0.56/0.78 (assert (forall ((X2 tptp.pi) (X1 tptp.pi) (Y2 tptp.pi) (Y1 tptp.pi)) (= (= (@ (@ tptp.sum X2) X1) (@ (@ tptp.sum Y2) Y1)) (and (= X2 Y2) (= X1 Y1)))))
% 0.56/0.78 (assert (forall ((X1 tptp.pi) (Y1 tptp.pi)) (= (= (@ tptp.bang X1) (@ tptp.bang Y1)) (= X1 Y1))))
% 0.56/0.78 (assert (forall ((Name2 tptp.name) (Pi2 tptp.pi) (Pi3 tptp.pi)) (not (= (@ (@ tptp.res Name2) Pi2) (@ tptp.bang Pi3)))))
% 0.56/0.78 (assert (forall ((Pi12 tptp.pi) (Pi23 tptp.pi) (Pi3 tptp.pi)) (not (= (@ (@ tptp.par Pi12) Pi23) (@ tptp.bang Pi3)))))
% 0.56/0.78 (assert (forall ((Pi3 tptp.pi)) (not (= tptp.piNil (@ tptp.tau Pi3)))))
% 0.56/0.78 (assert (forall ((Name13 tptp.name) (Name24 tptp.name) (Pi3 tptp.pi)) (not (= tptp.piNil (@ (@ (@ tptp.output Name13) Name24) Pi3)))))
% 0.56/0.78 (assert (forall ((Name13 tptp.name) (Name24 tptp.name) (Pi3 tptp.pi)) (not (= tptp.piNil (@ (@ (@ tptp.input Name13) Name24) Pi3)))))
% 0.56/0.78 (assert (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Pi3 tptp.pi)) (not (= (@ (@ (@ tptp.mismatch Name12) Name23) Pi2) (@ tptp.bang Pi3)))))
% 0.56/0.78 (assert (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Pi1 tptp.pi) (Pi22 tptp.pi)) (not (= (@ (@ (@ tptp.mismatch Name12) Name23) Pi2) (@ (@ tptp.sum Pi1) Pi22)))))
% 0.56/0.78 (assert (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Pi3 tptp.pi)) (not (= (@ (@ (@ tptp.match Name12) Name23) Pi2) (@ tptp.bang Pi3)))))
% 0.56/0.78 (assert (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Pi1 tptp.pi) (Pi22 tptp.pi)) (not (= (@ (@ (@ tptp.match Name12) Name23) Pi2) (@ (@ tptp.sum Pi1) Pi22)))))
% 0.56/0.78 (assert (forall ((Name13 tptp.name) (Name24 tptp.name) (Pi3 tptp.pi)) (not (= tptp.piNil (@ (@ (@ tptp.mismatch Name13) Name24) Pi3)))))
% 0.56/0.78 (assert (forall ((Name13 tptp.name) (Name24 tptp.name) (Pi3 tptp.pi)) (not (= tptp.piNil (@ (@ (@ tptp.match Name13) Name24) Pi3)))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (Rs tptp.late_residual)) (let ((_let_1 (@ tptp.bang P))) (=> (@ (@ tptp.late_transitions (@ (@ tptp.par P) _let_1)) Rs) (@ (@ tptp.late_transitions _let_1) Rs)))))
% 0.56/0.78 (assert (forall ((P tptp.pi) (Rs tptp.late_residual)) (=> (@ (@ tptp.late_transitions (@ tptp.bang P)) Rs) (not (forall ((P3 tptp.pi)) (let ((_let_1 (@ tptp.bang P3))) (=> (= (@ tptp.bang P) _let_1) (not (@ (@ tptp.late_transitions (@ (@ tptp.par P3) _let_1)) Rs)))))))))
% 0.56/0.78 (assert (forall ((X tptp.name) (Rs tptp.late_residual)) (not (@ (@ tptp.late_transitions (@ (@ tptp.res X) tptp.piNil)) Rs))))
% 0.56/0.78 (assert (forall ((P (-> tptp.pi Bool)) (Pi2 tptp.pi)) (=> (@ P tptp.piNil) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi)) (=> (@ P Pi) (@ P (@ (@ (@ tptp.output Name1) Name22) Pi)))) (=> (forall ((Pi tptp.pi)) (=> (@ P Pi) (@ P (@ tptp.tau Pi)))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi)) (=> (@ P Pi) (@ P (@ (@ (@ tptp.input Name1) Name22) Pi)))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi)) (=> (@ P Pi) (@ P (@ (@ (@ tptp.match Name1) Name22) Pi)))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi)) (=> (@ P Pi) (@ P (@ (@ (@ tptp.mismatch Name1) Name22) Pi)))) (=> (forall ((Pi13 tptp.pi) (Pi24 tptp.pi)) (=> (@ P Pi13) (=> (@ P Pi24) (@ P (@ (@ tptp.sum Pi13) Pi24))))) (=> (forall ((Pi13 tptp.pi) (Pi24 tptp.pi)) (=> (@ P Pi13) (=> (@ P Pi24) (@ P (@ (@ tptp.par Pi13) Pi24))))) (=> (forall ((Name tptp.name) (Pi tptp.pi)) (=> (@ P Pi) (@ P (@ (@ tptp.res Name) Pi)))) (=> (forall ((Pi tptp.pi)) (=> (@ P Pi) (@ P (@ tptp.bang Pi)))) (@ P Pi2)))))))))))))
% 0.56/0.78 (assert (forall ((P tptp.pi)) (@ (@ tptp.late_bangPred P) (@ (@ tptp.par P) (@ tptp.bang P)))))
% 0.56/0.78 (assert (forall ((A1 tptp.pi) (A22 tptp.pi)) (let ((_let_1 (@ tptp.bang A1))) (=> (@ (@ tptp.late_bangPred A1) A22) (=> (not (= A22 _let_1)) (= A22 (@ (@ tptp.par A1) _let_1)))))))
% 0.56/0.78 (assert (= tptp.late_bangPred (lambda ((A12 tptp.pi) (A23 tptp.pi)) (or (exists ((P5 tptp.pi)) (and (= A12 P5) (= A23 (@ tptp.bang P5)))) (exists ((P5 tptp.pi)) (and (= A12 P5) (= A23 (@ (@ tptp.par P5) (@ tptp.bang P5)))))))))
% 0.56/0.78 (assert (forall ((P tptp.pi)) (@ (@ tptp.late_bangPred P) (@ tptp.bang P))))
% 0.56/0.78 (assert (forall ((X1 tptp.pi) (X2 tptp.pi) (P (-> tptp.pi tptp.pi Bool))) (=> (@ (@ tptp.late_bangPred X1) X2) (=> (forall ((P3 tptp.pi)) (@ (@ P P3) (@ tptp.bang P3))) (=> (forall ((P3 tptp.pi)) (@ (@ P P3) (@ (@ tptp.par P3) (@ tptp.bang P3)))) (@ (@ P X1) X2))))))
% 0.56/0.78 (assert (= tptp.subs (lambda ((X3 tptp.pi) (C3 tptp.name) (D2 tptp.name)) (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.pi_rec_pi tptp.piNil) (lambda ((A4 tptp.name) (B3 tptp.name) (P5 tptp.pi) (__flatten_var_0 tptp.pi)) (@ (@ (@ tptp.output (@ (@ (@ tptp.subst_name A4) C3) D2)) (@ (@ (@ tptp.subst_name B3) C3) D2)) __flatten_var_0))) (lambda ((P5 tptp.pi) (__flatten_var_0 tptp.pi)) (@ tptp.tau __flatten_var_0))) (lambda ((A4 tptp.name) (Y5 tptp.name) (P5 tptp.pi) (__flatten_var_0 tptp.pi)) (@ (@ (@ tptp.input (@ (@ (@ tptp.subst_name A4) C3) D2)) Y5) __flatten_var_0))) (lambda ((A4 tptp.name) (B3 tptp.name) (P5 tptp.pi) (__flatten_var_0 tptp.pi)) (@ (@ (@ tptp.match (@ (@ (@ tptp.subst_name A4) C3) D2)) (@ (@ (@ tptp.subst_name B3) C3) D2)) __flatten_var_0))) (lambda ((A4 tptp.name) (B3 tptp.name) (P5 tptp.pi) (__flatten_var_0 tptp.pi)) (@ (@ (@ tptp.mismatch (@ (@ (@ tptp.subst_name A4) C3) D2)) (@ (@ (@ tptp.subst_name B3) C3) D2)) __flatten_var_0))) (lambda ((P5 tptp.pi) (Q5 tptp.pi) (__flatten_var_0 tptp.pi) (__flatten_var_1 tptp.pi)) (@ (@ tptp.sum __flatten_var_0) __flatten_var_1))) (lambda ((P5 tptp.pi) (Q5 tptp.pi) (__flatten_var_0 tptp.pi) (__flatten_var_1 tptp.pi)) (@ (@ tptp.par __flatten_var_0) __flatten_var_1))) (lambda ((Y5 tptp.name) (P5 tptp.pi) (__flatten_var_0 tptp.pi)) (@ (@ tptp.res Y5) __flatten_var_0))) (lambda ((P5 tptp.pi) (__flatten_var_0 tptp.pi)) (@ tptp.bang __flatten_var_0))) X3))))
% 0.56/0.78 (assert (forall ((X tptp.late_subject) (B tptp.name) (A tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name X)) (= (@ (@ tptp.fresh_728038529ubject B) (@ (@ tptp.abs_fu1904601852ubject A) X)) (or (= B A) (@ (@ tptp.fresh_717452603ubject B) X))))))
% 0.56/0.78 (assert (forall ((X tptp.late_freeRes) (B tptp.name) (A tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1228270395s_name X)) (= (@ (@ tptp.fresh_785364841reeRes B) (@ (@ tptp.abs_fu681348580reeRes A) X)) (or (= B A) (@ (@ tptp.fresh_1641682979reeRes B) X))))))
% 0.56/0.78 (assert (forall ((X tptp.name) (B tptp.name) (A tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_name_name X)) (= (@ (@ tptp.fresh_1093033124n_name B) (@ (@ tptp.abs_fun_name_name A) X)) (or (= B A) (@ (@ tptp.fresh_name_name B) X))))))
% 0.56/0.78 (assert (forall ((X tptp.pi) (B tptp.name) (A tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_pi_name X)) (= (@ (@ tptp.fresh_543891186ion_pi B) (@ (@ tptp.abs_fun_name_pi A) X)) (or (= B A) (@ (@ tptp.fresh_name_pi B) X))))))
% 0.56/0.78 (assert (forall ((X (-> tptp.name tptp.noption_pi)) (B tptp.name) (A tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n468628396i_name X)) (= (@ (@ tptp.fresh_92802872ion_pi B) (@ (@ tptp.abs_fu1614711987ion_pi A) X)) (or (= B A) (@ (@ tptp.fresh_543891186ion_pi B) X))))))
% 0.56/0.78 (assert (forall ((X (-> tptp.name tptp.noption_Late_subject)) (B tptp.name) (A tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1630792207t_name X)) (= (@ (@ tptp.fresh_600418535ubject B) (@ (@ tptp.abs_fu1705804544ubject A) X)) (or (= B A) (@ (@ tptp.fresh_728038529ubject B) X))))))
% 0.56/0.78 (assert (forall ((X (-> tptp.name tptp.noption_Late_freeRes)) (B tptp.name) (A tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n252280103s_name X)) (= (@ (@ tptp.fresh_1215331279reeRes B) (@ (@ tptp.abs_fu1763130856reeRes A) X)) (or (= B A) (@ (@ tptp.fresh_785364841reeRes B) X))))))
% 0.56/0.78 (assert (forall ((X (-> tptp.name tptp.noption_name)) (B tptp.name) (A tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n352473082e_name X)) (= (@ (@ tptp.fresh_1742414570n_name B) (@ (@ tptp.abs_fu1394407909n_name A) X)) (or (= B A) (@ (@ tptp.fresh_1093033124n_name B) X))))))
% 0.56/0.78 (assert (forall ((X (-> tptp.name tptp.noptio354675977ion_pi)) (B tptp.name) (A tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1003758744i_name X)) (= (@ (@ tptp.fresh_1575363742ion_pi B) (@ (@ tptp.abs_fu446471607ion_pi A) X)) (or (= B A) (@ (@ tptp.fresh_92802872ion_pi B) X))))))
% 0.56/0.78 (assert (forall ((X (-> tptp.late_freeRes tptp.pi tptp.name tptp.noption_pi)) (B tptp.name) (A tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L635439693i_name X)) (= (@ (@ tptp.fresh_481208489ion_pi B) (@ (@ tptp.abs_fu1682643010ion_pi A) X)) (or (= B A) (@ (@ tptp.fresh_7927363ion_pi B) X))))))
% 0.56/0.78 (assert (forall ((X tptp.late_subject)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name X)) (exists ((C2 tptp.name)) (@ (@ tptp.fresh_717452603ubject C2) X)))))
% 0.56/0.78 (assert (forall ((X tptp.late_freeRes)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1228270395s_name X)) (exists ((C2 tptp.name)) (@ (@ tptp.fresh_1641682979reeRes C2) X)))))
% 0.56/0.78 (assert (forall ((X tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_name_name X)) (exists ((C2 tptp.name)) (@ (@ tptp.fresh_name_name C2) X)))))
% 0.56/0.78 (assert (forall ((X tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_pi_name X)) (exists ((C2 tptp.name)) (@ (@ tptp.fresh_name_pi C2) X)))))
% 0.56/0.78 (assert (forall ((X (-> tptp.name tptp.noption_pi))) (=> (@ tptp.finite_finite_name (@ tptp.supp_n468628396i_name X)) (exists ((C2 tptp.name)) (@ (@ tptp.fresh_543891186ion_pi C2) X)))))
% 0.56/0.78 (assert (forall ((X (-> tptp.name tptp.noption_Late_subject))) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1630792207t_name X)) (exists ((C2 tptp.name)) (@ (@ tptp.fresh_728038529ubject C2) X)))))
% 0.56/0.78 (assert (forall ((X (-> tptp.name tptp.noption_Late_freeRes))) (=> (@ tptp.finite_finite_name (@ tptp.supp_n252280103s_name X)) (exists ((C2 tptp.name)) (@ (@ tptp.fresh_785364841reeRes C2) X)))))
% 0.56/0.78 (assert (forall ((X (-> tptp.name tptp.noption_name))) (=> (@ tptp.finite_finite_name (@ tptp.supp_n352473082e_name X)) (exists ((C2 tptp.name)) (@ (@ tptp.fresh_1093033124n_name C2) X)))))
% 0.56/0.78 (assert (forall ((X (-> tptp.name tptp.noptio354675977ion_pi))) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1003758744i_name X)) (exists ((C2 tptp.name)) (@ (@ tptp.fresh_92802872ion_pi C2) X)))))
% 0.56/0.78 (assert (forall ((X (-> tptp.late_freeRes tptp.pi tptp.name tptp.noption_pi))) (=> (@ tptp.finite_finite_name (@ tptp.supp_L635439693i_name X)) (exists ((C2 tptp.name)) (@ (@ tptp.fresh_7927363ion_pi C2) X)))))
% 0.56/0.78 (assert (forall ((X tptp.late_subject)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name X)) (not (forall ((C2 tptp.name)) (not (@ (@ tptp.fresh_717452603ubject C2) X)))))))
% 0.56/0.78 (assert (forall ((X tptp.late_freeRes)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1228270395s_name X)) (not (forall ((C2 tptp.name)) (not (@ (@ tptp.fresh_1641682979reeRes C2) X)))))))
% 0.56/0.78 (assert (forall ((X tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_name_name X)) (not (forall ((C2 tptp.name)) (not (@ (@ tptp.fresh_name_name C2) X)))))))
% 0.56/0.78 (assert (forall ((X tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_pi_name X)) (not (forall ((C2 tptp.name)) (not (@ (@ tptp.fresh_name_pi C2) X)))))))
% 0.56/0.78 (assert (forall ((X (-> tptp.name tptp.noption_pi))) (=> (@ tptp.finite_finite_name (@ tptp.supp_n468628396i_name X)) (not (forall ((C2 tptp.name)) (not (@ (@ tptp.fresh_543891186ion_pi C2) X)))))))
% 0.56/0.78 (assert (forall ((X (-> tptp.name tptp.noption_Late_subject))) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1630792207t_name X)) (not (forall ((C2 tptp.name)) (not (@ (@ tptp.fresh_728038529ubject C2) X)))))))
% 0.56/0.78 (assert (forall ((X (-> tptp.name tptp.noption_Late_freeRes))) (=> (@ tptp.finite_finite_name (@ tptp.supp_n252280103s_name X)) (not (forall ((C2 tptp.name)) (not (@ (@ tptp.fresh_785364841reeRes C2) X)))))))
% 0.56/0.78 (assert (forall ((X (-> tptp.name tptp.noption_name))) (=> (@ tptp.finite_finite_name (@ tptp.supp_n352473082e_name X)) (not (forall ((C2 tptp.name)) (not (@ (@ tptp.fresh_1093033124n_name C2) X)))))))
% 0.56/0.78 (assert (forall ((X (-> tptp.name tptp.noptio354675977ion_pi))) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1003758744i_name X)) (not (forall ((C2 tptp.name)) (not (@ (@ tptp.fresh_92802872ion_pi C2) X)))))))
% 0.56/0.78 (assert (forall ((X (-> tptp.late_freeRes tptp.pi tptp.name tptp.noption_pi))) (=> (@ tptp.finite_finite_name (@ tptp.supp_L635439693i_name X)) (not (forall ((C2 tptp.name)) (not (@ (@ tptp.fresh_7927363ion_pi C2) X)))))))
% 0.56/0.78 (assert (= tptp.supp_n1630792207t_name (lambda ((X3 (-> tptp.name tptp.noption_Late_subject))) (@ tptp.collect_name (lambda ((A4 tptp.name)) (not (@ (@ tptp.fresh_728038529ubject A4) X3)))))))
% 0.56/0.78 (assert (= tptp.supp_n252280103s_name (lambda ((X3 (-> tptp.name tptp.noption_Late_freeRes))) (@ tptp.collect_name (lambda ((A4 tptp.name)) (not (@ (@ tptp.fresh_785364841reeRes A4) X3)))))))
% 0.56/0.78 (assert (= tptp.supp_n352473082e_name (lambda ((X3 (-> tptp.name tptp.noption_name))) (@ tptp.collect_name (lambda ((A4 tptp.name)) (not (@ (@ tptp.fresh_1093033124n_name A4) X3)))))))
% 0.56/0.78 (assert (= tptp.supp_n1003758744i_name (lambda ((X3 (-> tptp.name tptp.noptio354675977ion_pi))) (@ tptp.collect_name (lambda ((A4 tptp.name)) (not (@ (@ tptp.fresh_92802872ion_pi A4) X3)))))))
% 0.56/0.78 (assert (= tptp.supp_L1174290467t_name (lambda ((X3 tptp.late_subject)) (@ tptp.collect_name (lambda ((A4 tptp.name)) (not (@ (@ tptp.fresh_717452603ubject A4) X3)))))))
% 0.56/0.78 (assert (= tptp.supp_L1228270395s_name (lambda ((X3 tptp.late_freeRes)) (@ tptp.collect_name (lambda ((A4 tptp.name)) (not (@ (@ tptp.fresh_1641682979reeRes A4) X3)))))))
% 0.56/0.78 (assert (= tptp.supp_name_name (lambda ((X3 tptp.name)) (@ tptp.collect_name (lambda ((A4 tptp.name)) (not (@ (@ tptp.fresh_name_name A4) X3)))))))
% 0.56/0.78 (assert (= tptp.supp_pi_name (lambda ((X3 tptp.pi)) (@ tptp.collect_name (lambda ((A4 tptp.name)) (not (@ (@ tptp.fresh_name_pi A4) X3)))))))
% 0.56/0.78 (assert (= tptp.supp_n468628396i_name (lambda ((X3 (-> tptp.name tptp.noption_pi))) (@ tptp.collect_name (lambda ((A4 tptp.name)) (not (@ (@ tptp.fresh_543891186ion_pi A4) X3)))))))
% 0.56/0.78 (assert (= tptp.fresh_717452603ubject (lambda ((A4 tptp.name) (X3 tptp.late_subject)) (not (@ (@ tptp.member_name A4) (@ tptp.supp_L1174290467t_name X3))))))
% 0.56/0.78 (assert (= tptp.fresh_1641682979reeRes (lambda ((A4 tptp.name) (X3 tptp.late_freeRes)) (not (@ (@ tptp.member_name A4) (@ tptp.supp_L1228270395s_name X3))))))
% 0.56/0.78 (assert (= tptp.fresh_name_name (lambda ((A4 tptp.name) (X3 tptp.name)) (not (@ (@ tptp.member_name A4) (@ tptp.supp_name_name X3))))))
% 0.56/0.78 (assert (= tptp.fresh_name_pi (lambda ((A4 tptp.name) (X3 tptp.pi)) (not (@ (@ tptp.member_name A4) (@ tptp.supp_pi_name X3))))))
% 0.56/0.78 (assert (= tptp.fresh_543891186ion_pi (lambda ((A4 tptp.name) (X3 (-> tptp.name tptp.noption_pi))) (not (@ (@ tptp.member_name A4) (@ tptp.supp_n468628396i_name X3))))))
% 0.56/0.78 (assert (forall ((X1 tptp.name) (X2 tptp.pi)) (= (@ tptp.supp_pi_name (@ (@ tptp.res X1) X2)) (@ tptp.supp_n468628396i_name (@ (@ tptp.abs_fun_name_pi X1) X2)))))
% 0.56/0.78 (assert (forall ((X1 tptp.pi)) (= (@ tptp.supp_pi_name (@ tptp.tau X1)) (@ tptp.supp_pi_name X1))))
% 0.56/0.78 (assert (forall ((X1 tptp.name)) (= (@ tptp.supp_L1174290467t_name (@ tptp.late_BoundOutputS X1)) (@ tptp.supp_name_name X1))))
% 0.56/0.78 (assert (forall ((X1 tptp.name)) (= (@ tptp.supp_L1174290467t_name (@ tptp.late_InputS X1)) (@ tptp.supp_name_name X1))))
% 0.56/0.78 (assert (forall ((X1 tptp.pi)) (= (@ tptp.supp_pi_name (@ tptp.bang X1)) (@ tptp.supp_pi_name X1))))
% 0.56/0.78 (assert (forall ((X tptp.late_subject)) (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name X))))
% 0.56/0.78 (assert (forall ((X tptp.late_freeRes)) (@ tptp.finite_finite_name (@ tptp.supp_L1228270395s_name X))))
% 0.56/0.78 (assert (forall ((X tptp.name)) (@ tptp.finite_finite_name (@ tptp.supp_name_name X))))
% 0.56/0.78 (assert (forall ((X tptp.pi)) (@ tptp.finite_finite_name (@ tptp.supp_pi_name X))))
% 0.56/0.78 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_subject)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_subject)) (Z tptp.late_subject) (P (-> tptp.late_subject Bool)) (FreeRes3 tptp.late_freeRes) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1144036959t_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1759672260t_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (let ((_let_2 (@ tptp.fresh_717452603ubject X22))) (=> (@ (@ tptp.fresh_795910143ubject X22) F1) (=> (@ _let_2 X13) (=> (@ _let_2 Z) (=> (@ P _let_1) (@ _let_2 _let_1)))))))) (= (@ (@ (@ tptp.late_r1347955901ubject F1) F2) (@ (@ tptp.late_FreeR FreeRes3) Pi2)) (@ (@ F2 FreeRes3) Pi2))))))))))
% 0.56/0.78 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_freeRes)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_freeRes)) (Z tptp.late_subject) (P (-> tptp.late_freeRes Bool)) (FreeRes3 tptp.late_freeRes) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1178477943s_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L381160156s_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (let ((_let_2 (@ tptp.fresh_717452603ubject X22))) (=> (@ (@ tptp.fresh_660367079reeRes X22) F1) (=> (@ _let_2 X13) (=> (@ _let_2 Z) (=> (@ P _let_1) (@ (@ tptp.fresh_1641682979reeRes X22) _let_1)))))))) (= (@ (@ (@ tptp.late_r124702629reeRes F1) F2) (@ (@ tptp.late_FreeR FreeRes3) Pi2)) (@ (@ F2 FreeRes3) Pi2))))))))))
% 0.56/0.78 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.name)) (F2 (-> tptp.late_freeRes tptp.pi tptp.name)) (Z tptp.late_subject) (P (-> tptp.name Bool)) (FreeRes3 tptp.late_freeRes) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L538372628e_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L926407557e_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (let ((_let_2 (@ tptp.fresh_717452603ubject X22))) (=> (@ (@ tptp.fresh_621211324i_name X22) F1) (=> (@ _let_2 X13) (=> (@ _let_2 Z) (=> (@ P _let_1) (@ (@ tptp.fresh_name_name X22) _let_1)))))))) (= (@ (@ (@ tptp.late_r1174711868c_name F1) F2) (@ (@ tptp.late_FreeR FreeRes3) Pi2)) (@ (@ F2 FreeRes3) Pi2))))))))))
% 0.56/0.78 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.pi)) (F2 (-> tptp.late_freeRes tptp.pi tptp.pi)) (Z tptp.late_subject) (P (-> tptp.pi Bool)) (FreeRes3 tptp.late_freeRes) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L729745222i_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L2052723895i_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (let ((_let_2 (@ tptp.fresh_717452603ubject X22))) (=> (@ (@ tptp.fresh_1438126218_pi_pi X22) F1) (=> (@ _let_2 X13) (=> (@ _let_2 Z) (=> (@ P _let_1) (@ (@ tptp.fresh_name_pi X22) _let_1)))))))) (= (@ (@ (@ tptp.late_residual_rec_pi F1) F2) (@ (@ tptp.late_FreeR FreeRes3) Pi2)) (@ (@ F2 FreeRes3) Pi2))))))))))
% 0.56/0.78 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_subject)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_subject)) (Z tptp.late_freeRes) (P (-> tptp.late_subject Bool)) (FreeRes3 tptp.late_freeRes) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1144036959t_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1759672260t_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1228270395s_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (let ((_let_2 (@ tptp.fresh_717452603ubject X22))) (=> (@ (@ tptp.fresh_795910143ubject X22) F1) (=> (@ _let_2 X13) (=> (@ (@ tptp.fresh_1641682979reeRes X22) Z) (=> (@ P _let_1) (@ _let_2 _let_1)))))))) (= (@ (@ (@ tptp.late_r1347955901ubject F1) F2) (@ (@ tptp.late_FreeR FreeRes3) Pi2)) (@ (@ F2 FreeRes3) Pi2))))))))))
% 0.56/0.78 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_freeRes)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_freeRes)) (Z tptp.late_freeRes) (P (-> tptp.late_freeRes Bool)) (FreeRes3 tptp.late_freeRes) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1178477943s_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L381160156s_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1228270395s_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (let ((_let_2 (@ tptp.fresh_1641682979reeRes X22))) (=> (@ (@ tptp.fresh_660367079reeRes X22) F1) (=> (@ (@ tptp.fresh_717452603ubject X22) X13) (=> (@ _let_2 Z) (=> (@ P _let_1) (@ _let_2 _let_1)))))))) (= (@ (@ (@ tptp.late_r124702629reeRes F1) F2) (@ (@ tptp.late_FreeR FreeRes3) Pi2)) (@ (@ F2 FreeRes3) Pi2))))))))))
% 0.56/0.78 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.name)) (F2 (-> tptp.late_freeRes tptp.pi tptp.name)) (Z tptp.late_freeRes) (P (-> tptp.name Bool)) (FreeRes3 tptp.late_freeRes) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L538372628e_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L926407557e_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1228270395s_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (=> (@ (@ tptp.fresh_621211324i_name X22) F1) (=> (@ (@ tptp.fresh_717452603ubject X22) X13) (=> (@ (@ tptp.fresh_1641682979reeRes X22) Z) (=> (@ P _let_1) (@ (@ tptp.fresh_name_name X22) _let_1))))))) (= (@ (@ (@ tptp.late_r1174711868c_name F1) F2) (@ (@ tptp.late_FreeR FreeRes3) Pi2)) (@ (@ F2 FreeRes3) Pi2))))))))))
% 0.56/0.78 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.pi)) (F2 (-> tptp.late_freeRes tptp.pi tptp.pi)) (Z tptp.late_freeRes) (P (-> tptp.pi Bool)) (FreeRes3 tptp.late_freeRes) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L729745222i_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L2052723895i_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1228270395s_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (=> (@ (@ tptp.fresh_1438126218_pi_pi X22) F1) (=> (@ (@ tptp.fresh_717452603ubject X22) X13) (=> (@ (@ tptp.fresh_1641682979reeRes X22) Z) (=> (@ P _let_1) (@ (@ tptp.fresh_name_pi X22) _let_1))))))) (= (@ (@ (@ tptp.late_residual_rec_pi F1) F2) (@ (@ tptp.late_FreeR FreeRes3) Pi2)) (@ (@ F2 FreeRes3) Pi2))))))))))
% 0.56/0.78 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_subject)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_subject)) (Z tptp.name) (P (-> tptp.late_subject Bool)) (FreeRes3 tptp.late_freeRes) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1144036959t_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1759672260t_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_name_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (let ((_let_2 (@ tptp.fresh_717452603ubject X22))) (=> (@ (@ tptp.fresh_795910143ubject X22) F1) (=> (@ _let_2 X13) (=> (@ (@ tptp.fresh_name_name X22) Z) (=> (@ P _let_1) (@ _let_2 _let_1)))))))) (= (@ (@ (@ tptp.late_r1347955901ubject F1) F2) (@ (@ tptp.late_FreeR FreeRes3) Pi2)) (@ (@ F2 FreeRes3) Pi2))))))))))
% 0.56/0.78 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_freeRes)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_freeRes)) (Z tptp.name) (P (-> tptp.late_freeRes Bool)) (FreeRes3 tptp.late_freeRes) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1178477943s_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L381160156s_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_name_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (=> (@ (@ tptp.fresh_660367079reeRes X22) F1) (=> (@ (@ tptp.fresh_717452603ubject X22) X13) (=> (@ (@ tptp.fresh_name_name X22) Z) (=> (@ P _let_1) (@ (@ tptp.fresh_1641682979reeRes X22) _let_1))))))) (= (@ (@ (@ tptp.late_r124702629reeRes F1) F2) (@ (@ tptp.late_FreeR FreeRes3) Pi2)) (@ (@ F2 FreeRes3) Pi2))))))))))
% 0.56/0.78 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_subject)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_subject)) (Z tptp.late_subject) (P (-> tptp.late_subject Bool)) (Name2 tptp.name) (Subject2 tptp.late_subject) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1144036959t_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1759672260t_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (let ((_let_2 (@ tptp.fresh_717452603ubject X22))) (=> (@ (@ tptp.fresh_795910143ubject X22) F1) (=> (@ _let_2 X13) (=> (@ _let_2 Z) (=> (@ P _let_1) (@ _let_2 _let_1)))))))) (=> (@ (@ tptp.fresh_795910143ubject Name2) F1) (=> (@ (@ tptp.fresh_198785932ubject Name2) F2) (=> (@ (@ tptp.fresh_717452603ubject Name2) Subject2) (= (@ (@ (@ tptp.late_r1347955901ubject F1) F2) (@ (@ (@ tptp.late_BoundR Subject2) Name2) Pi2)) (@ (@ (@ F1 Subject2) Name2) Pi2)))))))))))))
% 0.56/0.78 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_freeRes)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_freeRes)) (Z tptp.late_subject) (P (-> tptp.late_freeRes Bool)) (Name2 tptp.name) (Subject2 tptp.late_subject) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1178477943s_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L381160156s_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (let ((_let_2 (@ tptp.fresh_717452603ubject X22))) (=> (@ (@ tptp.fresh_660367079reeRes X22) F1) (=> (@ _let_2 X13) (=> (@ _let_2 Z) (=> (@ P _let_1) (@ (@ tptp.fresh_1641682979reeRes X22) _let_1)))))))) (=> (@ (@ tptp.fresh_660367079reeRes Name2) F1) (=> (@ (@ tptp.fresh_256112244reeRes Name2) F2) (=> (@ (@ tptp.fresh_717452603ubject Name2) Subject2) (= (@ (@ (@ tptp.late_r124702629reeRes F1) F2) (@ (@ (@ tptp.late_BoundR Subject2) Name2) Pi2)) (@ (@ (@ F1 Subject2) Name2) Pi2)))))))))))))
% 0.56/0.78 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.name)) (F2 (-> tptp.late_freeRes tptp.pi tptp.name)) (Z tptp.late_subject) (P (-> tptp.name Bool)) (Name2 tptp.name) (Subject2 tptp.late_subject) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L538372628e_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L926407557e_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (let ((_let_2 (@ tptp.fresh_717452603ubject X22))) (=> (@ (@ tptp.fresh_621211324i_name X22) F1) (=> (@ _let_2 X13) (=> (@ _let_2 Z) (=> (@ P _let_1) (@ (@ tptp.fresh_name_name X22) _let_1)))))))) (=> (@ (@ tptp.fresh_621211324i_name Name2) F1) (=> (@ (@ tptp.fresh_1030632537i_name Name2) F2) (=> (@ (@ tptp.fresh_717452603ubject Name2) Subject2) (= (@ (@ (@ tptp.late_r1174711868c_name F1) F2) (@ (@ (@ tptp.late_BoundR Subject2) Name2) Pi2)) (@ (@ (@ F1 Subject2) Name2) Pi2)))))))))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.pi)) (F2 (-> tptp.late_freeRes tptp.pi tptp.pi)) (Z tptp.late_subject) (P (-> tptp.pi Bool)) (Name2 tptp.name) (Subject2 tptp.late_subject) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L729745222i_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L2052723895i_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (let ((_let_2 (@ tptp.fresh_717452603ubject X22))) (=> (@ (@ tptp.fresh_1438126218_pi_pi X22) F1) (=> (@ _let_2 X13) (=> (@ _let_2 Z) (=> (@ P _let_1) (@ (@ tptp.fresh_name_pi X22) _let_1)))))))) (=> (@ (@ tptp.fresh_1438126218_pi_pi Name2) F1) (=> (@ (@ tptp.fresh_1011532071_pi_pi Name2) F2) (=> (@ (@ tptp.fresh_717452603ubject Name2) Subject2) (= (@ (@ (@ tptp.late_residual_rec_pi F1) F2) (@ (@ (@ tptp.late_BoundR Subject2) Name2) Pi2)) (@ (@ (@ F1 Subject2) Name2) Pi2)))))))))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_subject)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_subject)) (Z tptp.late_freeRes) (P (-> tptp.late_subject Bool)) (Name2 tptp.name) (Subject2 tptp.late_subject) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1144036959t_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1759672260t_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1228270395s_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (let ((_let_2 (@ tptp.fresh_717452603ubject X22))) (=> (@ (@ tptp.fresh_795910143ubject X22) F1) (=> (@ _let_2 X13) (=> (@ (@ tptp.fresh_1641682979reeRes X22) Z) (=> (@ P _let_1) (@ _let_2 _let_1)))))))) (=> (@ (@ tptp.fresh_795910143ubject Name2) F1) (=> (@ (@ tptp.fresh_198785932ubject Name2) F2) (=> (@ (@ tptp.fresh_717452603ubject Name2) Subject2) (= (@ (@ (@ tptp.late_r1347955901ubject F1) F2) (@ (@ (@ tptp.late_BoundR Subject2) Name2) Pi2)) (@ (@ (@ F1 Subject2) Name2) Pi2)))))))))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_freeRes)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_freeRes)) (Z tptp.late_freeRes) (P (-> tptp.late_freeRes Bool)) (Name2 tptp.name) (Subject2 tptp.late_subject) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1178477943s_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L381160156s_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1228270395s_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (let ((_let_2 (@ tptp.fresh_1641682979reeRes X22))) (=> (@ (@ tptp.fresh_660367079reeRes X22) F1) (=> (@ (@ tptp.fresh_717452603ubject X22) X13) (=> (@ _let_2 Z) (=> (@ P _let_1) (@ _let_2 _let_1)))))))) (=> (@ (@ tptp.fresh_660367079reeRes Name2) F1) (=> (@ (@ tptp.fresh_256112244reeRes Name2) F2) (=> (@ (@ tptp.fresh_717452603ubject Name2) Subject2) (= (@ (@ (@ tptp.late_r124702629reeRes F1) F2) (@ (@ (@ tptp.late_BoundR Subject2) Name2) Pi2)) (@ (@ (@ F1 Subject2) Name2) Pi2)))))))))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.name)) (F2 (-> tptp.late_freeRes tptp.pi tptp.name)) (Z tptp.late_freeRes) (P (-> tptp.name Bool)) (Name2 tptp.name) (Subject2 tptp.late_subject) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L538372628e_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L926407557e_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1228270395s_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (=> (@ (@ tptp.fresh_621211324i_name X22) F1) (=> (@ (@ tptp.fresh_717452603ubject X22) X13) (=> (@ (@ tptp.fresh_1641682979reeRes X22) Z) (=> (@ P _let_1) (@ (@ tptp.fresh_name_name X22) _let_1))))))) (=> (@ (@ tptp.fresh_621211324i_name Name2) F1) (=> (@ (@ tptp.fresh_1030632537i_name Name2) F2) (=> (@ (@ tptp.fresh_717452603ubject Name2) Subject2) (= (@ (@ (@ tptp.late_r1174711868c_name F1) F2) (@ (@ (@ tptp.late_BoundR Subject2) Name2) Pi2)) (@ (@ (@ F1 Subject2) Name2) Pi2)))))))))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.pi)) (F2 (-> tptp.late_freeRes tptp.pi tptp.pi)) (Z tptp.late_freeRes) (P (-> tptp.pi Bool)) (Name2 tptp.name) (Subject2 tptp.late_subject) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L729745222i_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L2052723895i_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1228270395s_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (=> (@ (@ tptp.fresh_1438126218_pi_pi X22) F1) (=> (@ (@ tptp.fresh_717452603ubject X22) X13) (=> (@ (@ tptp.fresh_1641682979reeRes X22) Z) (=> (@ P _let_1) (@ (@ tptp.fresh_name_pi X22) _let_1))))))) (=> (@ (@ tptp.fresh_1438126218_pi_pi Name2) F1) (=> (@ (@ tptp.fresh_1011532071_pi_pi Name2) F2) (=> (@ (@ tptp.fresh_717452603ubject Name2) Subject2) (= (@ (@ (@ tptp.late_residual_rec_pi F1) F2) (@ (@ (@ tptp.late_BoundR Subject2) Name2) Pi2)) (@ (@ (@ F1 Subject2) Name2) Pi2)))))))))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_subject)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_subject)) (Z tptp.name) (P (-> tptp.late_subject Bool)) (Name2 tptp.name) (Subject2 tptp.late_subject) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1144036959t_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1759672260t_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_name_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (let ((_let_2 (@ tptp.fresh_717452603ubject X22))) (=> (@ (@ tptp.fresh_795910143ubject X22) F1) (=> (@ _let_2 X13) (=> (@ (@ tptp.fresh_name_name X22) Z) (=> (@ P _let_1) (@ _let_2 _let_1)))))))) (=> (@ (@ tptp.fresh_795910143ubject Name2) F1) (=> (@ (@ tptp.fresh_198785932ubject Name2) F2) (=> (@ (@ tptp.fresh_717452603ubject Name2) Subject2) (= (@ (@ (@ tptp.late_r1347955901ubject F1) F2) (@ (@ (@ tptp.late_BoundR Subject2) Name2) Pi2)) (@ (@ (@ F1 Subject2) Name2) Pi2)))))))))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_freeRes)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_freeRes)) (Z tptp.name) (P (-> tptp.late_freeRes Bool)) (Name2 tptp.name) (Subject2 tptp.late_subject) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1178477943s_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L381160156s_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_name_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (=> (@ (@ tptp.fresh_660367079reeRes X22) F1) (=> (@ (@ tptp.fresh_717452603ubject X22) X13) (=> (@ (@ tptp.fresh_name_name X22) Z) (=> (@ P _let_1) (@ (@ tptp.fresh_1641682979reeRes X22) _let_1))))))) (=> (@ (@ tptp.fresh_660367079reeRes Name2) F1) (=> (@ (@ tptp.fresh_256112244reeRes Name2) F2) (=> (@ (@ tptp.fresh_717452603ubject Name2) Subject2) (= (@ (@ (@ tptp.late_r124702629reeRes F1) F2) (@ (@ (@ tptp.late_BoundR Subject2) Name2) Pi2)) (@ (@ (@ F1 Subject2) Name2) Pi2)))))))))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_subject)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_subject)) (X tptp.late_residual) (Y tptp.late_subject) (A tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1144036959t_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1759672260t_name F2)) (=> (@ (@ (@ (@ tptp.late_r689718217ubject F1) F2) X) Y) (=> (forall ((Y6 tptp.late_subject)) (=> (@ (@ (@ (@ tptp.late_r689718217ubject F1) F2) X) Y6) (= Y6 Y))) (=> (@ (@ tptp.fresh_81631222sidual A) X) (=> (@ (@ tptp.fresh_795910143ubject A) F1) (=> (@ (@ tptp.fresh_198785932ubject A) F2) (@ (@ tptp.fresh_717452603ubject A) Y))))))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_freeRes)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_freeRes)) (X tptp.late_residual) (Y tptp.late_freeRes) (A tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1178477943s_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L381160156s_name F2)) (=> (@ (@ (@ (@ tptp.late_r1613948593reeRes F1) F2) X) Y) (=> (forall ((Y6 tptp.late_freeRes)) (=> (@ (@ (@ (@ tptp.late_r1613948593reeRes F1) F2) X) Y6) (= Y6 Y))) (=> (@ (@ tptp.fresh_81631222sidual A) X) (=> (@ (@ tptp.fresh_660367079reeRes A) F1) (=> (@ (@ tptp.fresh_256112244reeRes A) F2) (@ (@ tptp.fresh_1641682979reeRes A) Y))))))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.name)) (F2 (-> tptp.late_freeRes tptp.pi tptp.name)) (X tptp.late_residual) (Y tptp.name) (A tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L538372628e_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L926407557e_name F2)) (=> (@ (@ (@ (@ tptp.late_r1742481968t_name F1) F2) X) Y) (=> (forall ((Y6 tptp.name)) (=> (@ (@ (@ (@ tptp.late_r1742481968t_name F1) F2) X) Y6) (= Y6 Y))) (=> (@ (@ tptp.fresh_81631222sidual A) X) (=> (@ (@ tptp.fresh_621211324i_name A) F1) (=> (@ (@ tptp.fresh_1030632537i_name A) F2) (@ (@ tptp.fresh_name_name A) Y))))))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.pi)) (F2 (-> tptp.late_freeRes tptp.pi tptp.pi)) (X tptp.late_residual) (Y tptp.pi) (A tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L729745222i_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L2052723895i_name F2)) (=> (@ (@ (@ (@ tptp.late_r1261898622set_pi F1) F2) X) Y) (=> (forall ((Y6 tptp.pi)) (=> (@ (@ (@ (@ tptp.late_r1261898622set_pi F1) F2) X) Y6) (= Y6 Y))) (=> (@ (@ tptp.fresh_81631222sidual A) X) (=> (@ (@ tptp.fresh_1438126218_pi_pi A) F1) (=> (@ (@ tptp.fresh_1011532071_pi_pi A) F2) (@ (@ tptp.fresh_name_pi A) Y))))))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.name tptp.noption_pi)) (F2 (-> tptp.late_freeRes tptp.pi tptp.name tptp.noption_pi)) (X tptp.late_residual) (Y (-> tptp.name tptp.noption_pi)) (A tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L3230824i_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L635439693i_name F2)) (=> (@ (@ (@ (@ tptp.late_r750878080ion_pi F1) F2) X) Y) (=> (forall ((Y6 (-> tptp.name tptp.noption_pi))) (=> (@ (@ (@ (@ tptp.late_r750878080ion_pi F1) F2) X) Y6) (= Y6 Y))) (=> (@ (@ tptp.fresh_81631222sidual A) X) (=> (@ (@ tptp.fresh_747777846ion_pi A) F1) (=> (@ (@ tptp.fresh_7927363ion_pi A) F2) (@ (@ tptp.fresh_543891186ion_pi A) Y))))))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_subject)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_subject)) (Z tptp.late_subject) (P (-> tptp.late_subject Bool)) (X tptp.late_residual)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1144036959t_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1759672260t_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name)) (let ((_let_1 (@ tptp.fresh_717452603ubject X22))) (=> (@ (@ tptp.fresh_795910143ubject X22) F1) (=> (@ _let_1 X13) (=> (@ _let_1 Z) (forall ((X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (=> (@ P _let_1) (@ (@ tptp.fresh_717452603ubject X22) _let_1))))))))) (exists ((X4 tptp.late_subject)) (and (@ (@ (@ (@ tptp.late_r689718217ubject F1) F2) X) X4) (forall ((Y7 tptp.late_subject)) (=> (@ (@ (@ (@ tptp.late_r689718217ubject F1) F2) X) Y7) (= Y7 X4)))))))))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_freeRes)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_freeRes)) (Z tptp.late_subject) (P (-> tptp.late_freeRes Bool)) (X tptp.late_residual)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1178477943s_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L381160156s_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name)) (let ((_let_1 (@ tptp.fresh_717452603ubject X22))) (=> (@ (@ tptp.fresh_660367079reeRes X22) F1) (=> (@ _let_1 X13) (=> (@ _let_1 Z) (forall ((X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (=> (@ P _let_1) (@ (@ tptp.fresh_1641682979reeRes X22) _let_1))))))))) (exists ((X4 tptp.late_freeRes)) (and (@ (@ (@ (@ tptp.late_r1613948593reeRes F1) F2) X) X4) (forall ((Y7 tptp.late_freeRes)) (=> (@ (@ (@ (@ tptp.late_r1613948593reeRes F1) F2) X) Y7) (= Y7 X4)))))))))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.name)) (F2 (-> tptp.late_freeRes tptp.pi tptp.name)) (Z tptp.late_subject) (P (-> tptp.name Bool)) (X tptp.late_residual)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L538372628e_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L926407557e_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name)) (let ((_let_1 (@ tptp.fresh_717452603ubject X22))) (=> (@ (@ tptp.fresh_621211324i_name X22) F1) (=> (@ _let_1 X13) (=> (@ _let_1 Z) (forall ((X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (=> (@ P _let_1) (@ (@ tptp.fresh_name_name X22) _let_1))))))))) (exists ((X4 tptp.name)) (and (@ (@ (@ (@ tptp.late_r1742481968t_name F1) F2) X) X4) (forall ((Y7 tptp.name)) (=> (@ (@ (@ (@ tptp.late_r1742481968t_name F1) F2) X) Y7) (= Y7 X4)))))))))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.pi)) (F2 (-> tptp.late_freeRes tptp.pi tptp.pi)) (Z tptp.late_subject) (P (-> tptp.pi Bool)) (X tptp.late_residual)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L729745222i_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L2052723895i_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name)) (let ((_let_1 (@ tptp.fresh_717452603ubject X22))) (=> (@ (@ tptp.fresh_1438126218_pi_pi X22) F1) (=> (@ _let_1 X13) (=> (@ _let_1 Z) (forall ((X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (=> (@ P _let_1) (@ (@ tptp.fresh_name_pi X22) _let_1))))))))) (exists ((X4 tptp.pi)) (and (@ (@ (@ (@ tptp.late_r1261898622set_pi F1) F2) X) X4) (forall ((Y7 tptp.pi)) (=> (@ (@ (@ (@ tptp.late_r1261898622set_pi F1) F2) X) Y7) (= Y7 X4)))))))))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_subject)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_subject)) (Z tptp.late_freeRes) (P (-> tptp.late_subject Bool)) (X tptp.late_residual)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1144036959t_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1759672260t_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1228270395s_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name)) (=> (@ (@ tptp.fresh_795910143ubject X22) F1) (=> (@ (@ tptp.fresh_717452603ubject X22) X13) (=> (@ (@ tptp.fresh_1641682979reeRes X22) Z) (forall ((X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (=> (@ P _let_1) (@ (@ tptp.fresh_717452603ubject X22) _let_1)))))))) (exists ((X4 tptp.late_subject)) (and (@ (@ (@ (@ tptp.late_r689718217ubject F1) F2) X) X4) (forall ((Y7 tptp.late_subject)) (=> (@ (@ (@ (@ tptp.late_r689718217ubject F1) F2) X) Y7) (= Y7 X4)))))))))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_freeRes)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_freeRes)) (Z tptp.late_freeRes) (P (-> tptp.late_freeRes Bool)) (X tptp.late_residual)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1178477943s_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L381160156s_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1228270395s_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name)) (=> (@ (@ tptp.fresh_660367079reeRes X22) F1) (=> (@ (@ tptp.fresh_717452603ubject X22) X13) (=> (@ (@ tptp.fresh_1641682979reeRes X22) Z) (forall ((X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (=> (@ P _let_1) (@ (@ tptp.fresh_1641682979reeRes X22) _let_1)))))))) (exists ((X4 tptp.late_freeRes)) (and (@ (@ (@ (@ tptp.late_r1613948593reeRes F1) F2) X) X4) (forall ((Y7 tptp.late_freeRes)) (=> (@ (@ (@ (@ tptp.late_r1613948593reeRes F1) F2) X) Y7) (= Y7 X4)))))))))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.name)) (F2 (-> tptp.late_freeRes tptp.pi tptp.name)) (Z tptp.late_freeRes) (P (-> tptp.name Bool)) (X tptp.late_residual)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L538372628e_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L926407557e_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1228270395s_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name)) (=> (@ (@ tptp.fresh_621211324i_name X22) F1) (=> (@ (@ tptp.fresh_717452603ubject X22) X13) (=> (@ (@ tptp.fresh_1641682979reeRes X22) Z) (forall ((X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (=> (@ P _let_1) (@ (@ tptp.fresh_name_name X22) _let_1)))))))) (exists ((X4 tptp.name)) (and (@ (@ (@ (@ tptp.late_r1742481968t_name F1) F2) X) X4) (forall ((Y7 tptp.name)) (=> (@ (@ (@ (@ tptp.late_r1742481968t_name F1) F2) X) Y7) (= Y7 X4)))))))))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.pi)) (F2 (-> tptp.late_freeRes tptp.pi tptp.pi)) (Z tptp.late_freeRes) (P (-> tptp.pi Bool)) (X tptp.late_residual)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L729745222i_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L2052723895i_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1228270395s_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name)) (=> (@ (@ tptp.fresh_1438126218_pi_pi X22) F1) (=> (@ (@ tptp.fresh_717452603ubject X22) X13) (=> (@ (@ tptp.fresh_1641682979reeRes X22) Z) (forall ((X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (=> (@ P _let_1) (@ (@ tptp.fresh_name_pi X22) _let_1)))))))) (exists ((X4 tptp.pi)) (and (@ (@ (@ (@ tptp.late_r1261898622set_pi F1) F2) X) X4) (forall ((Y7 tptp.pi)) (=> (@ (@ (@ (@ tptp.late_r1261898622set_pi F1) F2) X) Y7) (= Y7 X4)))))))))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_subject)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_subject)) (Z tptp.name) (P (-> tptp.late_subject Bool)) (X tptp.late_residual)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1144036959t_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1759672260t_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_name_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name)) (=> (@ (@ tptp.fresh_795910143ubject X22) F1) (=> (@ (@ tptp.fresh_717452603ubject X22) X13) (=> (@ (@ tptp.fresh_name_name X22) Z) (forall ((X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (=> (@ P _let_1) (@ (@ tptp.fresh_717452603ubject X22) _let_1)))))))) (exists ((X4 tptp.late_subject)) (and (@ (@ (@ (@ tptp.late_r689718217ubject F1) F2) X) X4) (forall ((Y7 tptp.late_subject)) (=> (@ (@ (@ (@ tptp.late_r689718217ubject F1) F2) X) Y7) (= Y7 X4)))))))))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_freeRes)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_freeRes)) (Z tptp.name) (P (-> tptp.late_freeRes Bool)) (X tptp.late_residual)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1178477943s_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L381160156s_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_name_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name)) (=> (@ (@ tptp.fresh_660367079reeRes X22) F1) (=> (@ (@ tptp.fresh_717452603ubject X22) X13) (=> (@ (@ tptp.fresh_name_name X22) Z) (forall ((X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (=> (@ P _let_1) (@ (@ tptp.fresh_1641682979reeRes X22) _let_1)))))))) (exists ((X4 tptp.late_freeRes)) (and (@ (@ (@ (@ tptp.late_r1613948593reeRes F1) F2) X) X4) (forall ((Y7 tptp.late_freeRes)) (=> (@ (@ (@ (@ tptp.late_r1613948593reeRes F1) F2) X) Y7) (= Y7 X4)))))))))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_subject)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_subject)) (X1 tptp.late_residual) (Y1 tptp.late_subject)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1144036959t_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1759672260t_name F2)) (=> (@ (@ (@ (@ tptp.late_r689718217ubject F1) F2) X1) Y1) (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name Y1)))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_freeRes)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_freeRes)) (X1 tptp.late_residual) (Y1 tptp.late_freeRes)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1178477943s_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L381160156s_name F2)) (=> (@ (@ (@ (@ tptp.late_r1613948593reeRes F1) F2) X1) Y1) (@ tptp.finite_finite_name (@ tptp.supp_L1228270395s_name Y1)))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.name)) (F2 (-> tptp.late_freeRes tptp.pi tptp.name)) (X1 tptp.late_residual) (Y1 tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L538372628e_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L926407557e_name F2)) (=> (@ (@ (@ (@ tptp.late_r1742481968t_name F1) F2) X1) Y1) (@ tptp.finite_finite_name (@ tptp.supp_name_name Y1)))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.pi)) (F2 (-> tptp.late_freeRes tptp.pi tptp.pi)) (X1 tptp.late_residual) (Y1 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L729745222i_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L2052723895i_name F2)) (=> (@ (@ (@ (@ tptp.late_r1261898622set_pi F1) F2) X1) Y1) (@ tptp.finite_finite_name (@ tptp.supp_pi_name Y1)))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.name tptp.noption_pi)) (F2 (-> tptp.late_freeRes tptp.pi tptp.name tptp.noption_pi)) (X1 tptp.late_residual) (Y1 (-> tptp.name tptp.noption_pi))) (=> (@ tptp.finite_finite_name (@ tptp.supp_L3230824i_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L635439693i_name F2)) (=> (@ (@ (@ (@ tptp.late_r750878080ion_pi F1) F2) X1) Y1) (@ tptp.finite_finite_name (@ tptp.supp_n468628396i_name Y1)))))))
% 0.56/0.79 (assert (forall ((X32 tptp.name) (X1 tptp.name) (X2 tptp.pi)) (= (@ tptp.supp_pi_name (@ (@ (@ tptp.input X32) X1) X2)) (@ (@ tptp.sup_sup_set_name (@ tptp.supp_name_name X32)) (@ tptp.supp_n468628396i_name (@ (@ tptp.abs_fun_name_pi X1) X2))))))
% 0.56/0.79 (assert (forall ((X32 tptp.late_subject) (X1 tptp.name) (X2 tptp.pi)) (= (@ tptp.supp_L1174042202l_name (@ (@ (@ tptp.late_BoundR X32) X1) X2)) (@ (@ tptp.sup_sup_set_name (@ tptp.supp_L1174290467t_name X32)) (@ tptp.supp_n468628396i_name (@ (@ tptp.abs_fun_name_pi X1) X2))))))
% 0.56/0.79 (assert (forall ((X2 tptp.pi) (X1 tptp.pi)) (= (@ tptp.supp_pi_name (@ (@ tptp.sum X2) X1)) (@ (@ tptp.sup_sup_set_name (@ tptp.supp_pi_name X2)) (@ tptp.supp_pi_name X1)))))
% 0.56/0.79 (assert (forall ((X2 tptp.pi) (X1 tptp.pi)) (= (@ tptp.supp_pi_name (@ (@ tptp.par X2) X1)) (@ (@ tptp.sup_sup_set_name (@ tptp.supp_pi_name X2)) (@ tptp.supp_pi_name X1)))))
% 0.56/0.79 (assert (forall ((X2 tptp.name) (X1 tptp.name)) (= (@ tptp.supp_L1228270395s_name (@ (@ tptp.late_OutputR X2) X1)) (@ (@ tptp.sup_sup_set_name (@ tptp.supp_name_name X2)) (@ tptp.supp_name_name X1)))))
% 0.56/0.79 (assert (forall ((X2 tptp.late_freeRes) (X1 tptp.pi)) (= (@ tptp.supp_L1174042202l_name (@ (@ tptp.late_FreeR X2) X1)) (@ (@ tptp.sup_sup_set_name (@ tptp.supp_L1228270395s_name X2)) (@ tptp.supp_pi_name X1)))))
% 0.56/0.79 (assert (forall ((X32 tptp.name) (X2 tptp.name) (X1 tptp.pi)) (= (@ tptp.supp_pi_name (@ (@ (@ tptp.output X32) X2) X1)) (@ (@ tptp.sup_sup_set_name (@ tptp.supp_name_name X32)) (@ (@ tptp.sup_sup_set_name (@ tptp.supp_name_name X2)) (@ tptp.supp_pi_name X1))))))
% 0.56/0.79 (assert (forall ((X32 tptp.name) (X2 tptp.name) (X1 tptp.pi)) (= (@ tptp.supp_pi_name (@ (@ (@ tptp.mismatch X32) X2) X1)) (@ (@ tptp.sup_sup_set_name (@ tptp.supp_name_name X32)) (@ (@ tptp.sup_sup_set_name (@ tptp.supp_name_name X2)) (@ tptp.supp_pi_name X1))))))
% 0.56/0.79 (assert (forall ((X32 tptp.name) (X2 tptp.name) (X1 tptp.pi)) (= (@ tptp.supp_pi_name (@ (@ (@ tptp.match X32) X2) X1)) (@ (@ tptp.sup_sup_set_name (@ tptp.supp_name_name X32)) (@ (@ tptp.sup_sup_set_name (@ tptp.supp_name_name X2)) (@ tptp.supp_pi_name X1))))))
% 0.56/0.79 (assert (forall ((F1 tptp.late_subject) (F2 (-> tptp.name tptp.name tptp.pi tptp.late_subject tptp.late_subject)) (F3 (-> tptp.pi tptp.late_subject tptp.late_subject)) (F4 (-> tptp.name tptp.name tptp.pi tptp.late_subject tptp.late_subject)) (F5 (-> tptp.name tptp.name tptp.pi tptp.late_subject tptp.late_subject)) (F6 (-> tptp.name tptp.name tptp.pi tptp.late_subject tptp.late_subject)) (F7 (-> tptp.pi tptp.pi tptp.late_subject tptp.late_subject tptp.late_subject)) (F8 (-> tptp.pi tptp.pi tptp.late_subject tptp.late_subject tptp.late_subject)) (F9 (-> tptp.name tptp.pi tptp.late_subject tptp.late_subject)) (F10 (-> tptp.pi tptp.late_subject tptp.late_subject)) (X1 tptp.pi) (Y1 tptp.late_subject)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n200783964t_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p742701746t_name F3)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n200783964t_name F4)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n200783964t_name F5)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n200783964t_name F6)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p1221108749t_name F7)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p1221108749t_name F8)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n122125407t_name F9)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p742701746t_name F10)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.pi_rec232630607ubject F1) F2) F3) F4) F5) F6) F7) F8) F9) F10) X1) Y1) (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name Y1)))))))))))))))
% 0.56/0.79 (assert (forall ((F1 tptp.late_freeRes) (F2 (-> tptp.name tptp.name tptp.pi tptp.late_freeRes tptp.late_freeRes)) (F3 (-> tptp.pi tptp.late_freeRes tptp.late_freeRes)) (F4 (-> tptp.name tptp.name tptp.pi tptp.late_freeRes tptp.late_freeRes)) (F5 (-> tptp.name tptp.name tptp.pi tptp.late_freeRes tptp.late_freeRes)) (F6 (-> tptp.name tptp.name tptp.pi tptp.late_freeRes tptp.late_freeRes)) (F7 (-> tptp.pi tptp.pi tptp.late_freeRes tptp.late_freeRes tptp.late_freeRes)) (F8 (-> tptp.pi tptp.pi tptp.late_freeRes tptp.late_freeRes tptp.late_freeRes)) (F9 (-> tptp.name tptp.pi tptp.late_freeRes tptp.late_freeRes)) (F10 (-> tptp.pi tptp.late_freeRes tptp.late_freeRes)) (X1 tptp.pi) (Y1 tptp.late_freeRes)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1228270395s_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n337505932s_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p71246050s_name F3)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n337505932s_name F4)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n337505932s_name F5)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n337505932s_name F6)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p1358344533s_name F7)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p1358344533s_name F8)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1410452111s_name F9)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p71246050s_name F10)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.pi_rec1156860983reeRes F1) F2) F3) F4) F5) F6) F7) F8) F9) F10) X1) Y1) (@ tptp.finite_finite_name (@ tptp.supp_L1228270395s_name Y1)))))))))))))))
% 0.56/0.79 (assert (forall ((F1 tptp.name) (F2 (-> tptp.name tptp.name tptp.pi tptp.name tptp.name)) (F3 (-> tptp.pi tptp.name tptp.name)) (F4 (-> tptp.name tptp.name tptp.pi tptp.name tptp.name)) (F5 (-> tptp.name tptp.name tptp.pi tptp.name tptp.name)) (F6 (-> tptp.name tptp.name tptp.pi tptp.name tptp.name)) (F7 (-> tptp.pi tptp.pi tptp.name tptp.name tptp.name)) (F8 (-> tptp.pi tptp.pi tptp.name tptp.name tptp.name)) (F9 (-> tptp.name tptp.pi tptp.name tptp.name)) (F10 (-> tptp.pi tptp.name tptp.name)) (X1 tptp.pi) (Y1 tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_name_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n612431512e_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p1239856366e_name F3)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n612431512e_name F4)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n612431512e_name F5)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n612431512e_name F6)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p1618090470e_name F7)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p1618090470e_name F8)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n116460699e_name F9)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p1239856366e_name F10)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.pi_rec_set_name F1) F2) F3) F4) F5) F6) F7) F8) F9) F10) X1) Y1) (@ tptp.finite_finite_name (@ tptp.supp_name_name Y1)))))))))))))))
% 0.56/0.79 (assert (forall ((F1 tptp.pi) (F2 (-> tptp.name tptp.name tptp.pi tptp.pi tptp.pi)) (F3 (-> tptp.pi tptp.pi tptp.pi)) (F4 (-> tptp.name tptp.name tptp.pi tptp.pi tptp.pi)) (F5 (-> tptp.name tptp.name tptp.pi tptp.pi tptp.pi)) (F6 (-> tptp.name tptp.name tptp.pi tptp.pi tptp.pi)) (F7 (-> tptp.pi tptp.pi tptp.pi tptp.pi tptp.pi)) (F8 (-> tptp.pi tptp.pi tptp.pi tptp.pi tptp.pi)) (F9 (-> tptp.name tptp.pi tptp.pi tptp.pi)) (F10 (-> tptp.pi tptp.pi tptp.pi)) (X1 tptp.pi) (Y1 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_pi_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1977765016i_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_pi_pi_pi_name F3)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1977765016i_name F4)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1977765016i_name F5)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1977765016i_name F6)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p812767768i_name F7)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p812767768i_name F8)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n96533147i_name F9)) (=> (@ tptp.finite_finite_name (@ tptp.supp_pi_pi_pi_name F10)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.pi_rec_set_pi F1) F2) F3) F4) F5) F6) F7) F8) F9) F10) X1) Y1) (@ tptp.finite_finite_name (@ tptp.supp_pi_name Y1)))))))))))))))
% 0.56/0.79 (assert (forall ((F1 (-> tptp.name tptp.noption_pi)) (F2 (-> tptp.name tptp.name tptp.pi (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi)) (F3 (-> tptp.pi (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi)) (F4 (-> tptp.name tptp.name tptp.pi (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi)) (F5 (-> tptp.name tptp.name tptp.pi (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi)) (F6 (-> tptp.name tptp.name tptp.pi (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi)) (F7 (-> tptp.pi tptp.pi (-> tptp.name tptp.noption_pi) (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi)) (F8 (-> tptp.pi tptp.pi (-> tptp.name tptp.noption_pi) (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi)) (F9 (-> tptp.name tptp.pi (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi)) (F10 (-> tptp.pi (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi)) (X1 tptp.pi) (Y1 (-> tptp.name tptp.noption_pi))) (=> (@ tptp.finite_finite_name (@ tptp.supp_n468628396i_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1987783534i_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p1320058820i_name F3)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1987783534i_name F4)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1987783534i_name F5)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1987783534i_name F6)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p1592910632i_name F7)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p1592910632i_name F8)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n52582513i_name F9)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p1320058820i_name F10)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.pi_rec802206470ion_pi F1) F2) F3) F4) F5) F6) F7) F8) F9) F10) X1) Y1) (@ tptp.finite_finite_name (@ tptp.supp_n468628396i_name Y1)))))))))))))))
% 0.56/0.79 (assert (forall ((S tptp.set_name) (X tptp.late_subject) (A tptp.name)) (=> (@ (@ tptp.suppor632428453ubject S) X) (=> (@ tptp.finite_finite_name S) (=> (not (@ (@ tptp.member_name A) S)) (@ (@ tptp.fresh_717452603ubject A) X))))))
% 0.56/0.79 (assert (forall ((S tptp.set_name) (X tptp.late_freeRes) (A tptp.name)) (=> (@ (@ tptp.suppor1556658829reeRes S) X) (=> (@ tptp.finite_finite_name S) (=> (not (@ (@ tptp.member_name A) S)) (@ (@ tptp.fresh_1641682979reeRes A) X))))))
% 0.56/0.79 (assert (forall ((S tptp.set_name) (X tptp.name) (A tptp.name)) (=> (@ (@ tptp.supports_name_name S) X) (=> (@ tptp.finite_finite_name S) (=> (not (@ (@ tptp.member_name A) S)) (@ (@ tptp.fresh_name_name A) X))))))
% 0.56/0.79 (assert (forall ((S tptp.set_name) (X tptp.pi) (A tptp.name)) (=> (@ (@ tptp.supports_name_pi S) X) (=> (@ tptp.finite_finite_name S) (=> (not (@ (@ tptp.member_name A) S)) (@ (@ tptp.fresh_name_pi A) X))))))
% 0.61/1.27 (assert (forall ((S tptp.set_name) (X (-> tptp.name tptp.noption_pi)) (A tptp.name)) (=> (@ (@ tptp.suppor1289515356ion_pi S) X) (=> (@ tptp.finite_finite_name S) (=> (not (@ (@ tptp.member_name A) S)) (@ (@ tptp.fresh_543891186ion_pi A) X))))))
% 0.61/1.27 (assert (forall ((P Bool)) (or (= P true) (= P false))))
% 0.61/1.27 (assert (forall ((X tptp.name) (Y tptp.name)) (= (@ (@ (@ tptp.if_name false) X) Y) Y)))
% 0.61/1.27 (assert (forall ((X tptp.name) (Y tptp.name)) (= (@ (@ (@ tptp.if_name true) X) Y) X)))
% 0.61/1.27 (assert (not (@ (@ tptp.late_transitions (@ (@ tptp.par (@ (@ tptp.par tptp.p) tptp.q)) tptp.r)) (@ (@ tptp.late_FreeR tptp.late_TauR) (@ (@ tptp.par (@ (@ tptp.par tptp.p2) (@ (@ (@ tptp.subs tptp.q2) tptp.x) tptp.b))) tptp.r)))))
% 0.61/1.27 (set-info :filename cvc5---1.0.5_26403)
% 0.61/1.27 (check-sat-assuming ( true ))
% 0.61/1.27 ------- get file name : TPTP file name is ITP186^1
% 0.61/1.27 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_26403.smt2...
% 0.61/1.27 --- Run --ho-elim --full-saturate-quant at 10...
% 0.61/1.27 % SZS status Theorem for ITP186^1
% 0.61/1.27 % SZS output start Proof for ITP186^1
% 0.61/1.27 (
% 0.61/1.27 (let ((_let_1 (@ tptp.par tptp.p2))) (let ((_let_2 (@ _let_1 (@ (@ (@ tptp.subs tptp.q2) tptp.x) tptp.b)))) (let ((_let_3 (@ tptp.late_FreeR tptp.late_TauR))) (let ((_let_4 (@ tptp.par tptp.p))) (let ((_let_5 (@ _let_4 tptp.q))) (let ((_let_6 (@ tptp.late_transitions (@ (@ tptp.par _let_5) tptp.r)))) (let ((_let_7 (not (@ _let_6 (@ _let_3 (@ (@ tptp.par _let_2) tptp.r)))))) (let ((_let_8 (= tptp.supp_n468628396i_name (lambda ((X3 (-> tptp.name tptp.noption_pi))) (@ tptp.collect_name (lambda ((A4 tptp.name)) (not (@ (@ tptp.fresh_543891186ion_pi A4) X3)))))))) (let ((_let_9 (= tptp.supp_pi_name (lambda ((X3 tptp.pi)) (@ tptp.collect_name (lambda ((A4 tptp.name)) (not (@ (@ tptp.fresh_name_pi A4) X3)))))))) (let ((_let_10 (= tptp.supp_name_name (lambda ((X3 tptp.name)) (@ tptp.collect_name (lambda ((A4 tptp.name)) (not (@ (@ tptp.fresh_name_name A4) X3)))))))) (let ((_let_11 (= tptp.supp_L1228270395s_name (lambda ((X3 tptp.late_freeRes)) (@ tptp.collect_name (lambda ((A4 tptp.name)) (not (@ (@ tptp.fresh_1641682979reeRes A4) X3)))))))) (let ((_let_12 (= tptp.supp_L1174290467t_name (lambda ((X3 tptp.late_subject)) (@ tptp.collect_name (lambda ((A4 tptp.name)) (not (@ (@ tptp.fresh_717452603ubject A4) X3)))))))) (let ((_let_13 (= tptp.supp_n1003758744i_name (lambda ((X3 (-> tptp.name tptp.noptio354675977ion_pi))) (@ tptp.collect_name (lambda ((A4 tptp.name)) (not (@ (@ tptp.fresh_92802872ion_pi A4) X3)))))))) (let ((_let_14 (= tptp.supp_n352473082e_name (lambda ((X3 (-> tptp.name tptp.noption_name))) (@ tptp.collect_name (lambda ((A4 tptp.name)) (not (@ (@ tptp.fresh_1093033124n_name A4) X3)))))))) (let ((_let_15 (= tptp.supp_n252280103s_name (lambda ((X3 (-> tptp.name tptp.noption_Late_freeRes))) (@ tptp.collect_name (lambda ((A4 tptp.name)) (not (@ (@ tptp.fresh_785364841reeRes A4) X3)))))))) (let ((_let_16 (= tptp.supp_n1630792207t_name (lambda ((X3 (-> tptp.name tptp.noption_Late_subject))) (@ tptp.collect_name (lambda ((A4 tptp.name)) (not (@ (@ tptp.fresh_728038529ubject A4) X3)))))))) (let ((_let_17 (= tptp.subs (lambda ((X3 tptp.pi) (C3 tptp.name) (D2 tptp.name)) (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.pi_rec_pi tptp.piNil) (lambda ((A4 tptp.name) (B3 tptp.name) (P5 tptp.pi) (__flatten_var_0 tptp.pi)) (@ (@ (@ tptp.output (@ (@ (@ tptp.subst_name A4) C3) D2)) (@ (@ (@ tptp.subst_name B3) C3) D2)) __flatten_var_0))) (lambda ((P5 tptp.pi) (__flatten_var_0 tptp.pi)) (@ tptp.tau __flatten_var_0))) (lambda ((A4 tptp.name) (Y5 tptp.name) (P5 tptp.pi) (__flatten_var_0 tptp.pi)) (@ (@ (@ tptp.input (@ (@ (@ tptp.subst_name A4) C3) D2)) Y5) __flatten_var_0))) (lambda ((A4 tptp.name) (B3 tptp.name) (P5 tptp.pi) (__flatten_var_0 tptp.pi)) (@ (@ (@ tptp.match (@ (@ (@ tptp.subst_name A4) C3) D2)) (@ (@ (@ tptp.subst_name B3) C3) D2)) __flatten_var_0))) (lambda ((A4 tptp.name) (B3 tptp.name) (P5 tptp.pi) (__flatten_var_0 tptp.pi)) (@ (@ (@ tptp.mismatch (@ (@ (@ tptp.subst_name A4) C3) D2)) (@ (@ (@ tptp.subst_name B3) C3) D2)) __flatten_var_0))) (lambda ((P5 tptp.pi) (Q5 tptp.pi) (__flatten_var_0 tptp.pi) (__flatten_var_1 tptp.pi)) (@ (@ tptp.sum __flatten_var_0) __flatten_var_1))) (lambda ((P5 tptp.pi) (Q5 tptp.pi) (__flatten_var_0 tptp.pi) (__flatten_var_1 tptp.pi)) (@ (@ tptp.par __flatten_var_0) __flatten_var_1))) (lambda ((Y5 tptp.name) (P5 tptp.pi) (__flatten_var_0 tptp.pi)) (@ (@ tptp.res Y5) __flatten_var_0))) (lambda ((P5 tptp.pi) (__flatten_var_0 tptp.pi)) (@ tptp.bang __flatten_var_0))) X3))))) (let ((_let_18 (= tptp.late_bangPred (lambda ((A12 tptp.pi) (A23 tptp.pi)) (or (exists ((P5 tptp.pi)) (and (= A12 P5) (= A23 (@ tptp.bang P5)))) (exists ((P5 tptp.pi)) (and (= A12 P5) (= A23 (@ (@ tptp.par P5) (@ tptp.bang P5)))))))))) (let ((_let_19 (= tptp.subst_name (lambda ((A4 tptp.name) (B3 tptp.name) (C3 tptp.name)) (@ (@ (@ tptp.if_name (= A4 B3)) C3) A4))))) (let ((_let_20 (= tptp.fresh_name_name (lambda ((A4 tptp.name) (B3 tptp.name)) (not (= A4 B3)))))) (let ((_let_21 (@ (@ tptp.late_BoundR (@ tptp.late_InputS tptp.a)) tptp.x))) (let ((_let_22 (@ (@ tptp.par tptp.q) tptp.r))) (let ((_let_23 (@ tptp.fresh_name_pi tptp.x))) (let ((_let_24 (forall ((P tptp.pi) (Alpha tptp.late_freeRes) (P2 tptp.pi) (Q tptp.pi)) (let ((_let_1 (@ tptp.late_FreeR Alpha))) (=> (@ (@ tptp.late_transitions P) (@ _let_1 P2)) (@ (@ tptp.late_transitions (@ (@ tptp.par P) Q)) (@ _let_1 (@ (@ tptp.par P2) Q)))))))) (let ((_let_25 (@ tptp.late_FreeR tptp.alpha))) (let ((_let_26 (@ tptp.late_transitions _let_5))) (let ((_let_27 (@ _let_26 (@ _let_3 _let_2)))) (let ((_let_28 (= tptp.alpha tptp.late_TauR))) (let ((_let_29 (forall ((P tptp.pi) (Alpha tptp.late_freeRes) (P2 tptp.pi) (Q tptp.pi)) (let ((_let_1 (ho_589 k_588 Alpha))) (or (not (ho_593 (ho_592 k_591 P) (ho_590 _let_1 P2))) (ho_593 (ho_592 k_591 (ho_289 (ho_315 k_314 P) Q)) (ho_590 _let_1 (ho_289 (ho_315 k_314 P2) Q)))))))) (let ((_let_30 (ho_289 (ho_315 k_314 tptp.p2) (ho_289 (ho_587 (ho_586 (ho_585 (ho_584 (ho_583 (ho_582 (ho_581 (ho_580 (ho_579 (ho_578 k_577 tptp.piNil) k_566) k_567) k_568) k_569) k_570) k_571) k_574) k_575) k_576) tptp.q2)))) (let ((_let_31 (ho_589 k_588 tptp.alpha))) (let ((_let_32 (ho_289 (ho_315 k_314 tptp.p) tptp.q))) (let ((_let_33 (ho_593 (ho_592 k_591 (ho_289 (ho_315 k_314 _let_32) tptp.r)) (ho_590 _let_31 (ho_289 (ho_315 k_314 _let_30) tptp.r))))) (let ((_let_34 (ho_593 (ho_592 k_591 _let_32) (ho_590 _let_31 _let_30)))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_24)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((P tptp.pi) (Alpha tptp.late_freeRes) (P2 tptp.pi) (Q tptp.pi)) (let ((_let_1 (@ tptp.late_FreeR Alpha))) (or (not (@ (@ tptp.late_transitions P) (@ _let_1 P2))) (@ (@ tptp.late_transitions (@ (@ tptp.par P) Q)) (@ _let_1 (@ (@ tptp.par P2) Q)))))) _let_29))))))) (let ((_let_38 (not _let_36))) (let ((_let_39 (@ tptp.pi_rec_pi tptp.piNil))) (let ((_let_40 (@ _let_1 (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ _let_39 ll_10) ll_9) ll_8) ll_7) ll_6) ll_5) ll_4) ll_3) ll_2) tptp.q2)))) (let ((_let_41 (@ _let_26 (@ _let_25 _let_40)))) (let ((_let_42 (@ _let_1 (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ _let_39 (lambda ((A4 tptp.name) (B3 tptp.name) (P5 tptp.pi) (__flatten_var_0 tptp.pi)) (@ (@ (@ tptp.output (@ (@ (@ tptp.if_name (= tptp.x A4)) tptp.b) A4)) (@ (@ (@ tptp.if_name (= tptp.x B3)) tptp.b) B3)) __flatten_var_0))) (lambda ((P5 tptp.pi) (__flatten_var_0 tptp.pi)) (@ tptp.tau __flatten_var_0))) (lambda ((A4 tptp.name) (Y5 tptp.name) (P5 tptp.pi) (__flatten_var_0 tptp.pi)) (@ (@ (@ tptp.input (@ (@ (@ tptp.if_name (= tptp.x A4)) tptp.b) A4)) Y5) __flatten_var_0))) (lambda ((A4 tptp.name) (B3 tptp.name) (P5 tptp.pi) (__flatten_var_0 tptp.pi)) (@ (@ (@ tptp.match (@ (@ (@ tptp.if_name (= tptp.x A4)) tptp.b) A4)) (@ (@ (@ tptp.if_name (= tptp.x B3)) tptp.b) B3)) __flatten_var_0))) (lambda ((A4 tptp.name) (B3 tptp.name) (P5 tptp.pi) (__flatten_var_0 tptp.pi)) (@ (@ (@ 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(@ (@ (@ tptp.subs P) C) D)))) (forall ((X tptp.name) (B tptp.name) (C tptp.name) (A tptp.name) (P tptp.pi)) (=> (not (= X B)) (=> (not (= X C)) (= (@ (@ (@ tptp.subs (@ (@ (@ tptp.input A) X) P)) B) C) (@ (@ (@ tptp.input (@ (@ (@ tptp.subst_name A) B) C)) X) (@ (@ (@ tptp.subs P) B) C)))))) (forall ((X tptp.name) (A tptp.name) (C tptp.name) (D tptp.name) (P tptp.pi)) (=> (not (= X A)) (=> (not (= X C)) (=> (not (= X D)) (= (@ (@ (@ tptp.subs (@ (@ (@ tptp.input A) X) P)) C) D) (@ (@ (@ tptp.input (@ (@ (@ tptp.subst_name A) C) D)) X) (@ (@ (@ tptp.subs P) C) D))))))) (forall ((A tptp.name) (B tptp.name) (P tptp.pi) (Rs tptp.late_residual)) (=> (@ (@ tptp.late_transitions (@ (@ (@ tptp.input A) B) P)) Rs) (not (forall ((X4 tptp.name) (A3 tptp.name) (P3 tptp.pi)) (=> (and (= A A3) (= (@ (@ tptp.abs_fun_name_pi B) P) (@ (@ tptp.abs_fun_name_pi X4) P3))) (=> (= Rs (@ (@ (@ tptp.late_BoundR (@ tptp.late_InputS A3)) X4) P3)) (= X4 A3))))))) (forall ((A tptp.name) (X1 tptp.name) (X2 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(Pi24 tptp.pi) (Z2 tptp.pi)) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi13)) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi24)) (@ (@ P Z2) (@ (@ tptp.sum Pi13) Pi24))))) (=> (forall ((Pi13 tptp.pi) (Pi24 tptp.pi) (Z2 tptp.pi)) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi13)) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi24)) (@ (@ P Z2) (@ (@ tptp.par Pi13) Pi24))))) (=> (forall ((Name tptp.name) (Pi tptp.pi) (Z2 tptp.pi)) (=> (@ (@ tptp.fresh_name_pi Name) Z2) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ (@ tptp.res Name) Pi))))) (=> (forall ((Pi tptp.pi) (Z2 tptp.pi)) (=> (forall ((Za tptp.pi)) (@ (@ P Za) Pi)) (@ (@ P Z2) (@ tptp.bang Pi)))) (@ (@ P Z) Pi2)))))))))))) (forall ((A tptp.name) (X1 tptp.pi)) (let ((_let_1 (@ tptp.fresh_name_pi A))) (= (@ _let_1 (@ tptp.bang X1)) (@ _let_1 X1)))) (forall ((A tptp.name) (X2 tptp.pi) (X1 tptp.pi)) (let ((_let_1 (@ tptp.fresh_name_pi A))) (= (@ _let_1 (@ (@ tptp.sum X2) X1)) (and (@ _let_1 X2) (@ _let_1 X1))))) (forall ((P tptp.pi) (C tptp.name) (D tptp.name)) (= (@ (@ (@ tptp.subs (@ tptp.bang P)) C) D) (@ tptp.bang (@ (@ (@ tptp.subs P) C) D)))) (forall ((A tptp.name)) (@ (@ tptp.fresh_name_pi A) tptp.piNil)) (forall ((P tptp.pi) (Q tptp.pi) (C tptp.name) (D tptp.name)) (= (@ (@ (@ tptp.subs (@ (@ tptp.sum P) Q)) C) D) (@ (@ tptp.sum (@ (@ (@ tptp.subs P) C) D)) (@ (@ (@ tptp.subs Q) C) D)))) (forall ((C tptp.name) (D tptp.name)) (= (@ (@ (@ tptp.subs tptp.piNil) C) D) tptp.piNil)) (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Pi3 tptp.pi)) (not (= (@ (@ (@ tptp.input Name12) Name23) Pi2) (@ tptp.bang Pi3)))) (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Pi3 tptp.pi)) (not (= (@ (@ (@ tptp.output Name12) Name23) Pi2) (@ tptp.bang Pi3)))) (forall ((P tptp.pi) (Q tptp.pi) (Rs tptp.late_residual)) (=> (@ (@ tptp.late_transitions (@ (@ tptp.sum P) Q)) Rs) (=> (not (@ (@ tptp.late_transitions P) Rs)) (@ (@ tptp.late_transitions Q) Rs)))) (forall ((P tptp.pi) (Q tptp.pi) (Rs tptp.late_residual)) (=> (@ (@ tptp.late_transitions (@ (@ tptp.sum P) Q)) Rs) (=> (not (@ (@ tptp.late_transitions P) Rs)) (@ (@ tptp.late_transitions Q) Rs)))) (forall ((P tptp.pi) (Rs tptp.late_residual) (Q tptp.pi)) (=> (@ (@ tptp.late_transitions P) Rs) (@ (@ tptp.late_transitions (@ (@ tptp.sum P) Q)) Rs))) (forall ((Q tptp.pi) (Rs tptp.late_residual) (P tptp.pi)) (=> (@ (@ tptp.late_transitions Q) Rs) (@ (@ tptp.late_transitions (@ (@ tptp.sum P) Q)) Rs))) (forall ((Pi2 tptp.pi) (Pi3 tptp.pi)) (not (= (@ tptp.tau Pi2) (@ tptp.bang Pi3)))) (forall ((Pi12 tptp.pi) (Pi23 tptp.pi) (Pi1 tptp.pi) (Pi22 tptp.pi)) (not (= (@ (@ tptp.sum Pi12) Pi23) (@ (@ tptp.par Pi1) Pi22)))) (forall ((Pi12 tptp.pi) (Pi23 tptp.pi) (Name3 tptp.name) (Pi3 tptp.pi)) (not (= (@ (@ tptp.sum Pi12) Pi23) (@ (@ tptp.res Name3) Pi3)))) (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Pi1 tptp.pi) (Pi22 tptp.pi)) (not (= (@ (@ (@ tptp.input Name12) Name23) Pi2) (@ (@ tptp.sum Pi1) Pi22)))) (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Pi1 tptp.pi) (Pi22 tptp.pi)) (not (= (@ (@ (@ tptp.output Name12) Name23) Pi2) (@ (@ tptp.sum Pi1) Pi22)))) (forall ((Pi2 tptp.pi) (Pi1 tptp.pi) (Pi22 tptp.pi)) (not (= (@ tptp.tau Pi2) (@ (@ tptp.sum Pi1) Pi22)))) (forall ((Rs tptp.late_residual)) (not (@ (@ tptp.late_transitions tptp.piNil) Rs))) (forall ((Rs tptp.late_residual)) (not (@ (@ tptp.late_transitions tptp.piNil) Rs))) (forall ((Pi1 tptp.pi) (Pi22 tptp.pi)) (not (= tptp.piNil (@ (@ tptp.par Pi1) Pi22)))) (forall ((Name3 tptp.name) (Pi3 tptp.pi)) (not (= tptp.piNil (@ (@ tptp.res Name3) Pi3)))) (forall ((Pi1 tptp.pi) (Pi22 tptp.pi)) (not (= tptp.piNil (@ (@ tptp.sum Pi1) Pi22)))) (forall ((Pi3 tptp.pi)) (not (= tptp.piNil (@ tptp.bang Pi3)))) (forall ((Pi12 tptp.pi) (Pi23 tptp.pi) (Pi3 tptp.pi)) (not (= (@ (@ tptp.sum Pi12) Pi23) (@ tptp.bang Pi3)))) (forall ((X2 tptp.pi) (X1 tptp.pi) (Y2 tptp.pi) (Y1 tptp.pi)) (= (= (@ (@ tptp.sum X2) X1) (@ (@ tptp.sum Y2) Y1)) (and (= X2 Y2) (= X1 Y1)))) (forall ((X1 tptp.pi) (Y1 tptp.pi)) (= (= (@ tptp.bang X1) (@ tptp.bang Y1)) (= X1 Y1))) (forall ((Name2 tptp.name) (Pi2 tptp.pi) (Pi3 tptp.pi)) (not (= (@ (@ tptp.res Name2) Pi2) (@ tptp.bang Pi3)))) (forall ((Pi12 tptp.pi) (Pi23 tptp.pi) (Pi3 tptp.pi)) (not (= (@ (@ tptp.par Pi12) Pi23) (@ tptp.bang Pi3)))) (forall ((Pi3 tptp.pi)) (not (= tptp.piNil (@ tptp.tau Pi3)))) (forall ((Name13 tptp.name) (Name24 tptp.name) (Pi3 tptp.pi)) (not (= tptp.piNil (@ (@ (@ tptp.output Name13) Name24) Pi3)))) (forall ((Name13 tptp.name) (Name24 tptp.name) (Pi3 tptp.pi)) (not (= tptp.piNil (@ (@ (@ tptp.input Name13) Name24) Pi3)))) (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Pi3 tptp.pi)) (not (= (@ (@ (@ tptp.mismatch Name12) Name23) Pi2) (@ tptp.bang Pi3)))) (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Pi1 tptp.pi) (Pi22 tptp.pi)) (not (= (@ (@ (@ tptp.mismatch Name12) Name23) Pi2) (@ (@ tptp.sum Pi1) Pi22)))) (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Pi3 tptp.pi)) (not (= (@ (@ (@ tptp.match Name12) Name23) Pi2) (@ tptp.bang Pi3)))) (forall ((Name12 tptp.name) (Name23 tptp.name) (Pi2 tptp.pi) (Pi1 tptp.pi) (Pi22 tptp.pi)) (not (= (@ (@ (@ tptp.match Name12) Name23) Pi2) (@ (@ tptp.sum Pi1) Pi22)))) (forall ((Name13 tptp.name) (Name24 tptp.name) (Pi3 tptp.pi)) (not (= tptp.piNil (@ (@ (@ tptp.mismatch Name13) Name24) Pi3)))) (forall ((Name13 tptp.name) (Name24 tptp.name) (Pi3 tptp.pi)) (not (= tptp.piNil (@ (@ (@ tptp.match Name13) Name24) Pi3)))) (forall ((P tptp.pi) (Rs tptp.late_residual)) (let ((_let_1 (@ tptp.bang P))) (=> (@ (@ tptp.late_transitions (@ (@ tptp.par P) _let_1)) Rs) (@ (@ tptp.late_transitions _let_1) Rs)))) (forall ((P tptp.pi) (Rs tptp.late_residual)) (=> (@ (@ tptp.late_transitions (@ tptp.bang P)) Rs) (not (forall ((P3 tptp.pi)) (let ((_let_1 (@ tptp.bang P3))) (=> (= (@ tptp.bang P) _let_1) (not (@ (@ tptp.late_transitions (@ (@ tptp.par P3) _let_1)) Rs)))))))) (forall ((X tptp.name) (Rs tptp.late_residual)) (not (@ (@ tptp.late_transitions (@ (@ tptp.res X) tptp.piNil)) Rs))) (forall ((P (-> tptp.pi Bool)) (Pi2 tptp.pi)) (=> (@ P tptp.piNil) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi)) (=> (@ P Pi) (@ P (@ (@ (@ tptp.output Name1) Name22) Pi)))) (=> (forall ((Pi tptp.pi)) (=> (@ P Pi) (@ P (@ tptp.tau Pi)))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi)) (=> (@ P Pi) (@ P (@ (@ (@ tptp.input Name1) Name22) Pi)))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi)) (=> (@ P Pi) (@ P (@ (@ (@ tptp.match Name1) Name22) Pi)))) (=> (forall ((Name1 tptp.name) (Name22 tptp.name) (Pi tptp.pi)) (=> (@ P Pi) (@ P (@ (@ (@ tptp.mismatch Name1) Name22) Pi)))) (=> (forall ((Pi13 tptp.pi) (Pi24 tptp.pi)) (=> (@ P Pi13) (=> (@ P Pi24) (@ P (@ (@ tptp.sum Pi13) Pi24))))) (=> (forall ((Pi13 tptp.pi) (Pi24 tptp.pi)) (=> (@ P Pi13) (=> (@ P Pi24) (@ P (@ (@ tptp.par Pi13) Pi24))))) (=> (forall ((Name tptp.name) (Pi tptp.pi)) (=> (@ P Pi) (@ P (@ (@ tptp.res Name) Pi)))) (=> (forall ((Pi tptp.pi)) (=> (@ P Pi) (@ P (@ tptp.bang Pi)))) (@ P Pi2)))))))))))) (forall ((P tptp.pi)) (@ (@ tptp.late_bangPred P) (@ (@ tptp.par P) (@ tptp.bang P)))) (forall ((A1 tptp.pi) (A22 tptp.pi)) (let ((_let_1 (@ tptp.bang A1))) (=> (@ (@ tptp.late_bangPred A1) A22) (=> (not (= A22 _let_1)) (= A22 (@ (@ tptp.par A1) _let_1)))))) _let_18 (forall ((P tptp.pi)) (@ (@ tptp.late_bangPred P) (@ tptp.bang P))) (forall ((X1 tptp.pi) (X2 tptp.pi) (P (-> tptp.pi tptp.pi Bool))) (=> (@ (@ tptp.late_bangPred X1) X2) (=> (forall ((P3 tptp.pi)) (@ (@ P P3) (@ tptp.bang P3))) (=> (forall ((P3 tptp.pi)) (@ (@ P P3) (@ (@ tptp.par P3) (@ tptp.bang P3)))) (@ (@ P X1) X2))))) _let_17 (forall ((X tptp.late_subject) (B tptp.name) (A tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name X)) (= (@ (@ tptp.fresh_728038529ubject B) (@ (@ tptp.abs_fu1904601852ubject A) X)) (or (= B A) (@ (@ tptp.fresh_717452603ubject B) X))))) (forall ((X tptp.late_freeRes) (B tptp.name) (A tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1228270395s_name X)) (= (@ (@ tptp.fresh_785364841reeRes B) (@ (@ tptp.abs_fu681348580reeRes A) X)) (or (= B A) (@ (@ tptp.fresh_1641682979reeRes B) X))))) (forall ((X tptp.name) (B tptp.name) (A tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_name_name X)) (= (@ (@ tptp.fresh_1093033124n_name B) (@ (@ tptp.abs_fun_name_name A) X)) (or (= B A) (@ (@ tptp.fresh_name_name B) X))))) (forall ((X tptp.pi) (B tptp.name) (A tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_pi_name X)) (= (@ (@ tptp.fresh_543891186ion_pi B) (@ (@ tptp.abs_fun_name_pi A) X)) (or (= B A) (@ (@ tptp.fresh_name_pi B) X))))) (forall ((X (-> tptp.name tptp.noption_pi)) (B tptp.name) (A tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n468628396i_name X)) (= (@ (@ tptp.fresh_92802872ion_pi B) (@ (@ tptp.abs_fu1614711987ion_pi A) X)) (or (= B A) (@ (@ tptp.fresh_543891186ion_pi B) X))))) (forall ((X (-> tptp.name tptp.noption_Late_subject)) (B tptp.name) (A tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1630792207t_name X)) (= (@ (@ tptp.fresh_600418535ubject B) (@ (@ tptp.abs_fu1705804544ubject A) X)) (or (= B A) (@ (@ tptp.fresh_728038529ubject B) X))))) (forall ((X (-> tptp.name tptp.noption_Late_freeRes)) (B tptp.name) (A tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n252280103s_name X)) (= (@ (@ tptp.fresh_1215331279reeRes B) (@ (@ tptp.abs_fu1763130856reeRes A) X)) (or (= B A) (@ (@ tptp.fresh_785364841reeRes B) X))))) (forall ((X (-> tptp.name tptp.noption_name)) (B tptp.name) (A tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n352473082e_name X)) (= (@ (@ tptp.fresh_1742414570n_name B) (@ (@ tptp.abs_fu1394407909n_name A) X)) (or (= B A) (@ (@ tptp.fresh_1093033124n_name B) X))))) (forall ((X (-> tptp.name tptp.noptio354675977ion_pi)) (B tptp.name) (A tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1003758744i_name X)) (= (@ (@ tptp.fresh_1575363742ion_pi B) (@ (@ tptp.abs_fu446471607ion_pi A) X)) (or (= B A) (@ (@ tptp.fresh_92802872ion_pi B) X))))) (forall ((X (-> tptp.late_freeRes tptp.pi tptp.name tptp.noption_pi)) (B tptp.name) (A tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L635439693i_name X)) (= (@ (@ tptp.fresh_481208489ion_pi B) (@ (@ tptp.abs_fu1682643010ion_pi A) X)) (or (= B A) (@ (@ tptp.fresh_7927363ion_pi B) X))))) (forall ((X tptp.late_subject)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name X)) (exists ((C2 tptp.name)) (@ (@ tptp.fresh_717452603ubject C2) X)))) (forall ((X tptp.late_freeRes)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1228270395s_name X)) (exists ((C2 tptp.name)) (@ (@ tptp.fresh_1641682979reeRes C2) X)))) (forall ((X tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_name_name X)) (exists ((C2 tptp.name)) (@ (@ tptp.fresh_name_name C2) X)))) (forall ((X tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_pi_name X)) (exists ((C2 tptp.name)) (@ (@ tptp.fresh_name_pi C2) X)))) (forall ((X (-> tptp.name tptp.noption_pi))) (=> (@ tptp.finite_finite_name (@ tptp.supp_n468628396i_name X)) (exists ((C2 tptp.name)) (@ (@ tptp.fresh_543891186ion_pi C2) X)))) (forall ((X (-> tptp.name tptp.noption_Late_subject))) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1630792207t_name X)) (exists ((C2 tptp.name)) (@ (@ tptp.fresh_728038529ubject C2) X)))) (forall ((X (-> tptp.name tptp.noption_Late_freeRes))) (=> (@ tptp.finite_finite_name (@ tptp.supp_n252280103s_name X)) (exists ((C2 tptp.name)) (@ (@ tptp.fresh_785364841reeRes C2) X)))) (forall ((X (-> tptp.name tptp.noption_name))) (=> (@ tptp.finite_finite_name (@ tptp.supp_n352473082e_name X)) (exists ((C2 tptp.name)) (@ (@ tptp.fresh_1093033124n_name C2) X)))) (forall ((X (-> tptp.name tptp.noptio354675977ion_pi))) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1003758744i_name X)) (exists ((C2 tptp.name)) (@ (@ tptp.fresh_92802872ion_pi C2) X)))) (forall ((X (-> tptp.late_freeRes tptp.pi tptp.name tptp.noption_pi))) (=> (@ tptp.finite_finite_name (@ tptp.supp_L635439693i_name X)) (exists ((C2 tptp.name)) (@ (@ tptp.fresh_7927363ion_pi C2) X)))) (forall ((X tptp.late_subject)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name X)) (not (forall ((C2 tptp.name)) (not (@ (@ tptp.fresh_717452603ubject C2) X)))))) (forall ((X tptp.late_freeRes)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1228270395s_name X)) (not (forall ((C2 tptp.name)) (not (@ (@ tptp.fresh_1641682979reeRes C2) X)))))) (forall ((X tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_name_name X)) (not (forall ((C2 tptp.name)) (not (@ (@ tptp.fresh_name_name C2) X)))))) (forall ((X tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_pi_name X)) (not (forall ((C2 tptp.name)) (not (@ (@ tptp.fresh_name_pi C2) X)))))) (forall ((X (-> tptp.name tptp.noption_pi))) (=> (@ tptp.finite_finite_name (@ tptp.supp_n468628396i_name X)) (not (forall ((C2 tptp.name)) (not (@ (@ tptp.fresh_543891186ion_pi C2) X)))))) (forall ((X (-> tptp.name tptp.noption_Late_subject))) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1630792207t_name X)) (not (forall ((C2 tptp.name)) (not (@ (@ tptp.fresh_728038529ubject C2) X)))))) (forall ((X (-> tptp.name tptp.noption_Late_freeRes))) (=> (@ tptp.finite_finite_name (@ tptp.supp_n252280103s_name X)) (not (forall ((C2 tptp.name)) (not (@ (@ tptp.fresh_785364841reeRes C2) X)))))) (forall ((X (-> tptp.name tptp.noption_name))) (=> (@ tptp.finite_finite_name (@ tptp.supp_n352473082e_name X)) (not (forall ((C2 tptp.name)) (not (@ (@ tptp.fresh_1093033124n_name C2) X)))))) (forall ((X (-> tptp.name tptp.noptio354675977ion_pi))) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1003758744i_name X)) (not (forall ((C2 tptp.name)) (not (@ (@ tptp.fresh_92802872ion_pi C2) X)))))) (forall ((X (-> tptp.late_freeRes tptp.pi tptp.name tptp.noption_pi))) (=> (@ tptp.finite_finite_name (@ tptp.supp_L635439693i_name X)) (not (forall ((C2 tptp.name)) (not (@ (@ tptp.fresh_7927363ion_pi C2) X)))))) _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 (= tptp.fresh_717452603ubject (lambda ((A4 tptp.name) (X3 tptp.late_subject)) (not (@ (@ tptp.member_name A4) (@ tptp.supp_L1174290467t_name X3))))) (= tptp.fresh_1641682979reeRes (lambda ((A4 tptp.name) (X3 tptp.late_freeRes)) (not (@ (@ tptp.member_name A4) (@ tptp.supp_L1228270395s_name X3))))) (= tptp.fresh_name_name (lambda ((A4 tptp.name) (X3 tptp.name)) (not (@ (@ tptp.member_name A4) (@ tptp.supp_name_name X3))))) (= tptp.fresh_name_pi (lambda ((A4 tptp.name) (X3 tptp.pi)) (not (@ (@ tptp.member_name A4) (@ tptp.supp_pi_name X3))))) (= tptp.fresh_543891186ion_pi (lambda ((A4 tptp.name) (X3 (-> tptp.name tptp.noption_pi))) (not (@ (@ tptp.member_name A4) (@ tptp.supp_n468628396i_name X3))))) (forall ((X1 tptp.name) (X2 tptp.pi)) (= (@ tptp.supp_pi_name (@ (@ tptp.res X1) X2)) (@ tptp.supp_n468628396i_name (@ (@ tptp.abs_fun_name_pi X1) X2)))) (forall ((X1 tptp.pi)) (= (@ tptp.supp_pi_name (@ tptp.tau X1)) (@ tptp.supp_pi_name X1))) (forall ((X1 tptp.name)) (= (@ tptp.supp_L1174290467t_name (@ tptp.late_BoundOutputS X1)) (@ tptp.supp_name_name X1))) (forall ((X1 tptp.name)) (= (@ tptp.supp_L1174290467t_name (@ tptp.late_InputS X1)) (@ tptp.supp_name_name X1))) (forall ((X1 tptp.pi)) (= (@ tptp.supp_pi_name (@ tptp.bang X1)) (@ tptp.supp_pi_name X1))) (forall ((X tptp.late_subject)) (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name X))) (forall ((X tptp.late_freeRes)) (@ tptp.finite_finite_name (@ tptp.supp_L1228270395s_name X))) (forall ((X tptp.name)) (@ tptp.finite_finite_name (@ tptp.supp_name_name X))) (forall ((X tptp.pi)) (@ tptp.finite_finite_name (@ tptp.supp_pi_name X))) (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_subject)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_subject)) (Z tptp.late_subject) (P (-> tptp.late_subject Bool)) (FreeRes3 tptp.late_freeRes) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1144036959t_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1759672260t_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (let ((_let_2 (@ tptp.fresh_717452603ubject X22))) (=> (@ (@ tptp.fresh_795910143ubject X22) F1) (=> (@ _let_2 X13) (=> (@ _let_2 Z) (=> (@ P _let_1) (@ _let_2 _let_1)))))))) (= (@ (@ (@ tptp.late_r1347955901ubject F1) F2) (@ (@ tptp.late_FreeR FreeRes3) Pi2)) (@ (@ F2 FreeRes3) Pi2))))))))) (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_freeRes)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_freeRes)) (Z tptp.late_subject) (P (-> tptp.late_freeRes Bool)) (FreeRes3 tptp.late_freeRes) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1178477943s_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L381160156s_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (let ((_let_2 (@ tptp.fresh_717452603ubject X22))) (=> (@ (@ tptp.fresh_660367079reeRes X22) F1) (=> (@ _let_2 X13) (=> (@ _let_2 Z) (=> (@ P _let_1) (@ (@ tptp.fresh_1641682979reeRes X22) _let_1)))))))) (= (@ (@ (@ tptp.late_r124702629reeRes F1) F2) (@ (@ tptp.late_FreeR FreeRes3) Pi2)) (@ (@ F2 FreeRes3) Pi2))))))))) (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.name)) (F2 (-> tptp.late_freeRes tptp.pi tptp.name)) (Z tptp.late_subject) (P (-> tptp.name Bool)) (FreeRes3 tptp.late_freeRes) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L538372628e_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L926407557e_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (let ((_let_2 (@ tptp.fresh_717452603ubject X22))) (=> (@ (@ tptp.fresh_621211324i_name X22) F1) (=> (@ _let_2 X13) (=> (@ _let_2 Z) (=> (@ P _let_1) (@ (@ tptp.fresh_name_name X22) _let_1)))))))) (= (@ (@ (@ tptp.late_r1174711868c_name F1) F2) (@ (@ tptp.late_FreeR FreeRes3) Pi2)) (@ (@ F2 FreeRes3) Pi2))))))))) (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.pi)) (F2 (-> tptp.late_freeRes tptp.pi tptp.pi)) (Z tptp.late_subject) (P (-> tptp.pi Bool)) (FreeRes3 tptp.late_freeRes) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L729745222i_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L2052723895i_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (let ((_let_2 (@ tptp.fresh_717452603ubject X22))) (=> (@ (@ tptp.fresh_1438126218_pi_pi X22) F1) (=> (@ _let_2 X13) (=> (@ _let_2 Z) (=> (@ P _let_1) (@ (@ tptp.fresh_name_pi X22) _let_1)))))))) (= (@ (@ (@ tptp.late_residual_rec_pi F1) F2) (@ (@ tptp.late_FreeR FreeRes3) Pi2)) (@ (@ F2 FreeRes3) Pi2))))))))) (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_subject)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_subject)) (Z tptp.late_freeRes) (P (-> 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(-> tptp.late_freeRes tptp.pi tptp.name)) (Z tptp.late_freeRes) (P (-> tptp.name Bool)) (FreeRes3 tptp.late_freeRes) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L538372628e_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L926407557e_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1228270395s_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (=> (@ (@ tptp.fresh_621211324i_name X22) F1) (=> (@ (@ tptp.fresh_717452603ubject X22) X13) (=> (@ (@ tptp.fresh_1641682979reeRes X22) Z) (=> (@ P _let_1) (@ (@ tptp.fresh_name_name X22) _let_1))))))) (= (@ (@ (@ tptp.late_r1174711868c_name F1) F2) (@ (@ tptp.late_FreeR FreeRes3) Pi2)) (@ (@ F2 FreeRes3) Pi2))))))))) (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.pi)) (F2 (-> tptp.late_freeRes tptp.pi tptp.pi)) (Z tptp.late_freeRes) (P (-> tptp.pi Bool)) (FreeRes3 tptp.late_freeRes) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L729745222i_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L2052723895i_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1228270395s_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (=> (@ (@ tptp.fresh_1438126218_pi_pi X22) F1) (=> (@ (@ tptp.fresh_717452603ubject X22) X13) (=> (@ (@ tptp.fresh_1641682979reeRes X22) Z) (=> (@ P _let_1) (@ (@ tptp.fresh_name_pi X22) _let_1))))))) (= (@ (@ (@ tptp.late_residual_rec_pi F1) F2) (@ (@ tptp.late_FreeR FreeRes3) Pi2)) (@ (@ F2 FreeRes3) Pi2))))))))) (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_subject)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_subject)) (Z tptp.name) (P (-> tptp.late_subject Bool)) (FreeRes3 tptp.late_freeRes) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1144036959t_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1759672260t_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_name_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (let ((_let_2 (@ tptp.fresh_717452603ubject X22))) (=> (@ (@ tptp.fresh_795910143ubject X22) F1) (=> (@ _let_2 X13) (=> (@ (@ tptp.fresh_name_name X22) Z) (=> (@ P _let_1) (@ _let_2 _let_1)))))))) (= (@ (@ (@ tptp.late_r1347955901ubject F1) F2) (@ (@ tptp.late_FreeR FreeRes3) Pi2)) (@ (@ F2 FreeRes3) Pi2))))))))) (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_freeRes)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_freeRes)) (Z tptp.name) (P (-> tptp.late_freeRes Bool)) (FreeRes3 tptp.late_freeRes) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1178477943s_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L381160156s_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_name_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (=> (@ (@ tptp.fresh_660367079reeRes X22) F1) (=> (@ (@ tptp.fresh_717452603ubject X22) X13) (=> (@ (@ tptp.fresh_name_name X22) Z) (=> (@ P _let_1) (@ (@ tptp.fresh_1641682979reeRes X22) _let_1))))))) (= (@ (@ (@ tptp.late_r124702629reeRes F1) F2) (@ (@ tptp.late_FreeR FreeRes3) Pi2)) (@ (@ F2 FreeRes3) Pi2))))))))) (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_subject)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_subject)) (Z tptp.late_subject) (P (-> tptp.late_subject Bool)) (Name2 tptp.name) (Subject2 tptp.late_subject) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1144036959t_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1759672260t_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (let ((_let_2 (@ tptp.fresh_717452603ubject X22))) (=> (@ (@ tptp.fresh_795910143ubject X22) F1) (=> (@ _let_2 X13) (=> (@ _let_2 Z) (=> (@ P _let_1) (@ _let_2 _let_1)))))))) (=> (@ (@ tptp.fresh_795910143ubject Name2) F1) (=> (@ (@ tptp.fresh_198785932ubject Name2) F2) (=> (@ (@ tptp.fresh_717452603ubject Name2) Subject2) (= (@ (@ (@ tptp.late_r1347955901ubject F1) F2) (@ (@ (@ tptp.late_BoundR Subject2) Name2) Pi2)) (@ (@ (@ F1 Subject2) Name2) Pi2)))))))))))) (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.late_freeRes)) (F2 (-> tptp.late_freeRes tptp.pi tptp.late_freeRes)) (Z tptp.late_subject) (P (-> tptp.late_freeRes Bool)) (Name2 tptp.name) (Subject2 tptp.late_subject) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1178477943s_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L381160156s_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (let ((_let_2 (@ tptp.fresh_717452603ubject X22))) (=> (@ (@ tptp.fresh_660367079reeRes X22) F1) (=> (@ _let_2 X13) (=> (@ _let_2 Z) (=> (@ P _let_1) (@ (@ tptp.fresh_1641682979reeRes X22) _let_1)))))))) (=> (@ (@ tptp.fresh_660367079reeRes Name2) F1) (=> (@ (@ tptp.fresh_256112244reeRes Name2) F2) (=> (@ (@ tptp.fresh_717452603ubject Name2) Subject2) (= (@ (@ (@ tptp.late_r124702629reeRes F1) F2) (@ (@ (@ tptp.late_BoundR Subject2) Name2) Pi2)) (@ (@ (@ F1 Subject2) Name2) Pi2)))))))))))) (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.name)) (F2 (-> tptp.late_freeRes tptp.pi tptp.name)) (Z tptp.late_subject) (P (-> tptp.name Bool)) (Name2 tptp.name) (Subject2 tptp.late_subject) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L538372628e_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L926407557e_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L1174290467t_name Z)) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (@ P (@ (@ (@ F1 X13) X22) X33))) (=> (forall ((X13 tptp.late_freeRes) (X22 tptp.pi)) (@ P (@ (@ F2 X13) X22))) (=> (forall ((X13 tptp.late_subject) (X22 tptp.name) (X33 tptp.pi)) (let ((_let_1 (@ (@ (@ F1 X13) X22) X33))) (let ((_let_2 (@ tptp.fresh_717452603ubject X22))) (=> (@ (@ tptp.fresh_621211324i_name X22) F1) (=> (@ _let_2 X13) (=> (@ _let_2 Z) (=> (@ P _let_1) (@ (@ tptp.fresh_name_name X22) _let_1)))))))) (=> (@ (@ tptp.fresh_621211324i_name Name2) F1) (=> (@ (@ tptp.fresh_1030632537i_name Name2) F2) (=> (@ (@ tptp.fresh_717452603ubject Name2) Subject2) (= (@ (@ (@ tptp.late_r1174711868c_name F1) F2) (@ (@ (@ tptp.late_BoundR Subject2) Name2) Pi2)) (@ (@ (@ F1 Subject2) Name2) Pi2)))))))))))) (forall ((F1 (-> tptp.late_subject tptp.name tptp.pi tptp.pi)) (F2 (-> tptp.late_freeRes tptp.pi tptp.pi)) (Z tptp.late_subject) (P (-> tptp.pi Bool)) (Name2 tptp.name) (Subject2 tptp.late_subject) (Pi2 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L729745222i_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_L2052723895i_name F2)) (=> (@ 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tptp.finite_finite_name (@ tptp.supp_p71246050s_name F3)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n337505932s_name F4)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n337505932s_name F5)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n337505932s_name F6)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p1358344533s_name F7)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p1358344533s_name F8)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1410452111s_name F9)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p71246050s_name F10)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.pi_rec1156860983reeRes F1) F2) F3) F4) F5) F6) F7) F8) F9) F10) X1) Y1) (@ tptp.finite_finite_name (@ tptp.supp_L1228270395s_name Y1)))))))))))))) (forall ((F1 tptp.name) (F2 (-> tptp.name tptp.name tptp.pi tptp.name tptp.name)) (F3 (-> tptp.pi tptp.name tptp.name)) (F4 (-> tptp.name tptp.name tptp.pi tptp.name tptp.name)) (F5 (-> tptp.name tptp.name tptp.pi tptp.name tptp.name)) (F6 (-> tptp.name tptp.name tptp.pi tptp.name tptp.name)) (F7 (-> tptp.pi tptp.pi tptp.name tptp.name tptp.name)) (F8 (-> tptp.pi tptp.pi tptp.name tptp.name tptp.name)) (F9 (-> tptp.name tptp.pi tptp.name tptp.name)) (F10 (-> tptp.pi tptp.name tptp.name)) (X1 tptp.pi) (Y1 tptp.name)) (=> (@ tptp.finite_finite_name (@ tptp.supp_name_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n612431512e_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p1239856366e_name F3)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n612431512e_name F4)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n612431512e_name F5)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n612431512e_name F6)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p1618090470e_name F7)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p1618090470e_name F8)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n116460699e_name F9)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p1239856366e_name F10)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.pi_rec_set_name F1) F2) F3) F4) F5) F6) F7) F8) F9) F10) X1) Y1) (@ tptp.finite_finite_name (@ tptp.supp_name_name Y1)))))))))))))) (forall ((F1 tptp.pi) (F2 (-> tptp.name tptp.name tptp.pi tptp.pi tptp.pi)) (F3 (-> tptp.pi tptp.pi tptp.pi)) (F4 (-> tptp.name tptp.name tptp.pi tptp.pi tptp.pi)) (F5 (-> tptp.name tptp.name tptp.pi tptp.pi tptp.pi)) (F6 (-> tptp.name tptp.name tptp.pi tptp.pi tptp.pi)) (F7 (-> tptp.pi tptp.pi tptp.pi tptp.pi tptp.pi)) (F8 (-> tptp.pi tptp.pi tptp.pi tptp.pi tptp.pi)) (F9 (-> tptp.name tptp.pi tptp.pi tptp.pi)) (F10 (-> tptp.pi tptp.pi tptp.pi)) (X1 tptp.pi) (Y1 tptp.pi)) (=> (@ tptp.finite_finite_name (@ tptp.supp_pi_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1977765016i_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_pi_pi_pi_name F3)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1977765016i_name F4)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1977765016i_name F5)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1977765016i_name F6)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p812767768i_name F7)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p812767768i_name F8)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n96533147i_name F9)) (=> (@ tptp.finite_finite_name (@ tptp.supp_pi_pi_pi_name F10)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.pi_rec_set_pi F1) F2) F3) F4) F5) F6) F7) F8) F9) F10) X1) Y1) (@ tptp.finite_finite_name (@ tptp.supp_pi_name Y1)))))))))))))) (forall ((F1 (-> tptp.name tptp.noption_pi)) (F2 (-> tptp.name tptp.name tptp.pi (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi)) (F3 (-> tptp.pi (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi)) (F4 (-> tptp.name tptp.name tptp.pi (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi)) (F5 (-> tptp.name tptp.name tptp.pi (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi)) (F6 (-> tptp.name tptp.name tptp.pi (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi)) (F7 (-> tptp.pi tptp.pi (-> tptp.name tptp.noption_pi) (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi)) (F8 (-> tptp.pi tptp.pi (-> tptp.name tptp.noption_pi) (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi)) (F9 (-> tptp.name tptp.pi (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi)) (F10 (-> tptp.pi (-> tptp.name tptp.noption_pi) tptp.name tptp.noption_pi)) (X1 tptp.pi) (Y1 (-> tptp.name tptp.noption_pi))) (=> (@ tptp.finite_finite_name (@ tptp.supp_n468628396i_name F1)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1987783534i_name F2)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p1320058820i_name F3)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1987783534i_name F4)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1987783534i_name F5)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n1987783534i_name F6)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p1592910632i_name F7)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p1592910632i_name F8)) (=> (@ tptp.finite_finite_name (@ tptp.supp_n52582513i_name F9)) (=> (@ tptp.finite_finite_name (@ tptp.supp_p1320058820i_name F10)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.pi_rec802206470ion_pi F1) F2) F3) F4) F5) F6) F7) F8) F9) F10) X1) Y1) (@ tptp.finite_finite_name (@ tptp.supp_n468628396i_name Y1)))))))))))))) (forall ((S tptp.set_name) (X tptp.late_subject) (A tptp.name)) (=> (@ (@ tptp.suppor632428453ubject S) X) (=> (@ tptp.finite_finite_name S) (=> (not (@ (@ tptp.member_name A) S)) (@ (@ tptp.fresh_717452603ubject A) X))))) (forall ((S tptp.set_name) (X tptp.late_freeRes) (A tptp.name)) (=> (@ (@ tptp.suppor1556658829reeRes S) X) (=> (@ tptp.finite_finite_name S) (=> (not (@ (@ tptp.member_name A) S)) (@ (@ tptp.fresh_1641682979reeRes A) X))))) (forall ((S tptp.set_name) (X tptp.name) (A tptp.name)) (=> (@ (@ tptp.supports_name_name S) X) (=> (@ tptp.finite_finite_name S) (=> (not (@ (@ tptp.member_name A) S)) (@ (@ tptp.fresh_name_name A) X))))) (forall ((S tptp.set_name) (X tptp.pi) (A tptp.name)) (=> (@ (@ tptp.supports_name_pi S) X) (=> (@ tptp.finite_finite_name S) (=> (not (@ (@ tptp.member_name A) S)) (@ (@ tptp.fresh_name_pi A) X))))) (forall ((S tptp.set_name) (X (-> tptp.name tptp.noption_pi)) (A tptp.name)) (=> (@ (@ tptp.suppor1289515356ion_pi S) X) (=> (@ tptp.finite_finite_name S) (=> (not (@ (@ tptp.member_name A) S)) (@ (@ tptp.fresh_543891186ion_pi A) X))))) (forall ((P Bool)) (or (= P true) (= P false))) (forall ((X tptp.name) (Y tptp.name)) (= (@ (@ (@ tptp.if_name false) X) Y) Y)) (forall ((X tptp.name) (Y tptp.name)) (= (@ (@ (@ tptp.if_name true) X) Y) X)) _let_7 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.61/1.28 )
% 0.61/1.28 % SZS output end Proof for ITP186^1
% 0.61/1.28 % cvc5---1.0.5 exiting
% 0.61/1.28 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------