TSTP Solution File: ITP047^1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ITP047^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n024.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 03:17:46 EDT 2023
% Result : Theorem 41.58s 41.82s
% Output : Proof 41.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.21 % Problem : ITP047^1 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.22 % Command : do_cvc5 %s %d
% 0.22/0.43 % Computer : n024.cluster.edu
% 0.22/0.43 % Model : x86_64 x86_64
% 0.22/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.43 % Memory : 8042.1875MB
% 0.22/0.43 % OS : Linux 3.10.0-693.el7.x86_64
% 0.22/0.43 % CPULimit : 300
% 0.22/0.43 % WCLimit : 300
% 0.22/0.43 % DateTime : Sun Aug 27 10:11:23 EDT 2023
% 0.22/0.43 % CPUTime :
% 0.29/0.64 %----Proving TH0
% 0.29/0.65 %------------------------------------------------------------------------------
% 0.29/0.65 % File : ITP047^1 : TPTP v8.1.2. Released v7.5.0.
% 0.29/0.65 % Domain : Interactive Theorem Proving
% 0.29/0.65 % Problem : Sledgehammer Determinacy problem prob_914__3357784_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 : Determinacy/prob_914__3357784_1 [Des21]
% 0.29/0.65
% 0.29/0.65 % Status : Theorem
% 0.29/0.65 % Rating : 0.31 v8.1.0, 0.27 v7.5.0
% 0.29/0.65 % Syntax : Number of formulae : 502 ( 137 unt; 144 typ; 0 def)
% 0.29/0.65 % Number of atoms : 1189 ( 524 equ; 0 cnn)
% 0.29/0.65 % Maximal formula atoms : 13 ( 3 avg)
% 0.29/0.65 % Number of connectives : 4447 ( 181 ~; 60 |; 118 &;3553 @)
% 0.29/0.65 % ( 0 <=>; 535 =>; 0 <=; 0 <~>)
% 0.29/0.65 % Maximal formula depth : 35 ( 8 avg)
% 0.29/0.65 % Number of types : 36 ( 35 usr)
% 0.29/0.65 % Number of type conns : 991 ( 991 >; 0 *; 0 +; 0 <<)
% 0.29/0.65 % Number of symbols : 112 ( 109 usr; 28 con; 0-4 aty)
% 0.29/0.65 % Number of variables : 1427 ( 111 ^;1223 !; 93 ?;1427 :)
% 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 15:34:36.700
% 0.29/0.65 %------------------------------------------------------------------------------
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% 0.29/0.65 thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_Itf__l_J,type,
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% 0.29/0.65 thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_Itf__r_J,type,
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% 0.29/0.65 thf(sy_c_Product__Type_OPair_001_062_Itf__l_Mt__Option__Ooption_It__Data__Oval_Itf__r_Mtf__l_Mtf__v_J_J_J_001t__Data__Oexpr_Itf__r_Mtf__l_Mtf__v_J,type,
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% 0.29/0.65 thf(sy_c_Product__Type_OPair_001_062_Itf__l_Mt__Option__Ooption_It__Data__Oval_Itf__r_Mtf__l_Mtf__v_J_J_J_001t__Product____Type__Oprod_I_062_Itf__l_Mt__Option__Ooption_It__Data__Oval_Itf__r_Mtf__l_Mtf__v_J_J_J_Mt__Data__Oexpr_Itf__r_Mtf__l_Mtf__v_J_J,type,
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% 0.29/0.65 thf(sy_c_Product__Type_OPair_001_062_Itf__l_Mtf__l_J_001t__Product____Type__Oprod_I_062_Itf__l_Mt__Option__Ooption_It__Data__Oval_Itf__r_Mtf__l_Mtf__v_J_J_J_Mt__Product____Type__Oprod_I_062_Itf__l_Mt__Option__Ooption_It__Data__Oval_Itf__r_Mtf__l_Mtf__v_J_J_J_Mt__Data__Oexpr_Itf__r_Mtf__l_Mtf__v_J_J_J,type,
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% 0.29/0.65
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% 0.29/0.65
% 0.29/0.65 thf(sy_c_Renaming_O_092_060R_062_092_060_094sub_062L_001tf__r_001tf__l_001tf__v,type,
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% 0.29/0.65
% 0.29/0.65 thf(sy_c_Renaming_Oeq__states_001tf__r_001tf__l_001tf__v,type,
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% 0.29/0.66
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% 0.29/0.66 thf(fact_0_local_Ofork_I2_J,axiom,
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% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) ) ).
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% 0.29/0.66 = ( rfork_r_l_v @ Y7 ) )
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% 0.29/0.66 = ( plug_r_l_v @ E @ E2 ) )
% 0.29/0.66 = ( E1 = E2 ) ) ).
% 0.29/0.66
% 0.29/0.66 % injective_cntxt
% 0.29/0.66 thf(fact_3_fun__upd__upd,axiom,
% 0.29/0.66 ! [F: r > option1457017436_r_l_v,X: r,Y: option1457017436_r_l_v,Z: option1457017436_r_l_v] :
% 0.29/0.66 ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ F @ X @ Y ) @ X @ Z )
% 0.29/0.66 = ( fun_up709272714_r_l_v @ F @ X @ Z ) ) ).
% 0.29/0.66
% 0.29/0.66 % fun_upd_upd
% 0.29/0.66 thf(fact_4_fun__upd__upd,axiom,
% 0.29/0.66 ! [F: l > option_val_r_l_v,X: l,Y: option_val_r_l_v,Z: option_val_r_l_v] :
% 0.29/0.66 ( ( fun_up1835647912_r_l_v @ ( fun_up1835647912_r_l_v @ F @ X @ Y ) @ X @ Z )
% 0.29/0.66 = ( fun_up1835647912_r_l_v @ F @ X @ Z ) ) ).
% 0.29/0.66
% 0.29/0.66 % fun_upd_upd
% 0.29/0.66 thf(fact_5_fun__upd__triv,axiom,
% 0.29/0.66 ! [F: r > option1457017436_r_l_v,X: r] :
% 0.29/0.66 ( ( fun_up709272714_r_l_v @ F @ X @ ( F @ X ) )
% 0.29/0.66 = F ) ).
% 0.29/0.66
% 0.29/0.66 % fun_upd_triv
% 0.29/0.66 thf(fact_6_fun__upd__triv,axiom,
% 0.29/0.66 ! [F: l > option_val_r_l_v,X: l] :
% 0.29/0.66 ( ( fun_up1835647912_r_l_v @ F @ X @ ( F @ X ) )
% 0.29/0.66 = F ) ).
% 0.29/0.66
% 0.29/0.66 % fun_upd_triv
% 0.29/0.66 thf(fact_7_fun__upd__apply,axiom,
% 0.29/0.66 ( fun_up709272714_r_l_v
% 0.29/0.66 = ( ^ [F2: r > option1457017436_r_l_v,X2: r,Y2: option1457017436_r_l_v,Z2: r] : ( if_opt1153928738_r_l_v @ ( Z2 = X2 ) @ Y2 @ ( F2 @ Z2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % fun_upd_apply
% 0.29/0.66 thf(fact_8_fun__upd__apply,axiom,
% 0.29/0.66 ( fun_up1835647912_r_l_v
% 0.29/0.66 = ( ^ [F2: l > option_val_r_l_v,X2: l,Y2: option_val_r_l_v,Z2: l] : ( if_option_val_r_l_v @ ( Z2 = X2 ) @ Y2 @ ( F2 @ Z2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % fun_upd_apply
% 0.29/0.66 thf(fact_9_option_Oinject,axiom,
% 0.29/0.66 ! [X22: produc1156025366_r_l_v,Y22: produc1156025366_r_l_v] :
% 0.29/0.66 ( ( ( some_P1807977723_r_l_v @ X22 )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ Y22 ) )
% 0.29/0.66 = ( X22 = Y22 ) ) ).
% 0.29/0.66
% 0.29/0.66 % option.inject
% 0.29/0.66 thf(fact_10_option_Oinject,axiom,
% 0.29/0.66 ! [X22: val_r_l_v,Y22: val_r_l_v] :
% 0.29/0.66 ( ( ( some_val_r_l_v @ X22 )
% 0.29/0.66 = ( some_val_r_l_v @ Y22 ) )
% 0.29/0.66 = ( X22 = Y22 ) ) ).
% 0.29/0.66
% 0.29/0.66 % option.inject
% 0.29/0.66 thf(fact_11_prod_Oinject,axiom,
% 0.29/0.66 ! [X1: r > r,X22: produc1489027110_r_l_v,Y1: r > r,Y22: produc1489027110_r_l_v] :
% 0.29/0.66 ( ( ( produc2111504612_r_l_v @ X1 @ X22 )
% 0.29/0.66 = ( produc2111504612_r_l_v @ Y1 @ Y22 ) )
% 0.29/0.66 = ( ( X1 = Y1 )
% 0.29/0.66 & ( X22 = Y22 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % prod.inject
% 0.29/0.66 thf(fact_12_prod_Oinject,axiom,
% 0.29/0.66 ! [X1: l > l,X22: produc1156025366_r_l_v,Y1: l > l,Y22: produc1156025366_r_l_v] :
% 0.29/0.66 ( ( ( produc2057232216_r_l_v @ X1 @ X22 )
% 0.29/0.66 = ( produc2057232216_r_l_v @ Y1 @ Y22 ) )
% 0.29/0.66 = ( ( X1 = Y1 )
% 0.29/0.66 & ( X22 = Y22 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % prod.inject
% 0.29/0.66 thf(fact_13_prod_Oinject,axiom,
% 0.29/0.66 ! [X1: l > option_val_r_l_v,X22: produc1164766533_r_l_v,Y1: l > option_val_r_l_v,Y22: produc1164766533_r_l_v] :
% 0.29/0.66 ( ( ( produc297528454_r_l_v @ X1 @ X22 )
% 0.29/0.66 = ( produc297528454_r_l_v @ Y1 @ Y22 ) )
% 0.29/0.66 = ( ( X1 = Y1 )
% 0.29/0.66 & ( X22 = Y22 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % prod.inject
% 0.29/0.66 thf(fact_14_prod_Oinject,axiom,
% 0.29/0.66 ! [X1: l > option_val_r_l_v,X22: expr_r_l_v,Y1: l > option_val_r_l_v,Y22: expr_r_l_v] :
% 0.29/0.66 ( ( ( produc1834103605_r_l_v @ X1 @ X22 )
% 0.29/0.66 = ( produc1834103605_r_l_v @ Y1 @ Y22 ) )
% 0.29/0.66 = ( ( X1 = Y1 )
% 0.29/0.66 & ( X22 = Y22 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % prod.inject
% 0.29/0.66 thf(fact_15_old_Oprod_Oinject,axiom,
% 0.29/0.66 ! [A: r > r,B: produc1489027110_r_l_v,A2: r > r,B2: produc1489027110_r_l_v] :
% 0.29/0.66 ( ( ( produc2111504612_r_l_v @ A @ B )
% 0.29/0.66 = ( produc2111504612_r_l_v @ A2 @ B2 ) )
% 0.29/0.66 = ( ( A = A2 )
% 0.29/0.66 & ( B = B2 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % old.prod.inject
% 0.29/0.66 thf(fact_16_old_Oprod_Oinject,axiom,
% 0.29/0.66 ! [A: l > l,B: produc1156025366_r_l_v,A2: l > l,B2: produc1156025366_r_l_v] :
% 0.29/0.66 ( ( ( produc2057232216_r_l_v @ A @ B )
% 0.29/0.66 = ( produc2057232216_r_l_v @ A2 @ B2 ) )
% 0.29/0.66 = ( ( A = A2 )
% 0.29/0.66 & ( B = B2 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % old.prod.inject
% 0.29/0.66 thf(fact_17_old_Oprod_Oinject,axiom,
% 0.29/0.66 ! [A: l > option_val_r_l_v,B: produc1164766533_r_l_v,A2: l > option_val_r_l_v,B2: produc1164766533_r_l_v] :
% 0.29/0.66 ( ( ( produc297528454_r_l_v @ A @ B )
% 0.29/0.66 = ( produc297528454_r_l_v @ A2 @ B2 ) )
% 0.29/0.66 = ( ( A = A2 )
% 0.29/0.66 & ( B = B2 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % old.prod.inject
% 0.29/0.66 thf(fact_18_old_Oprod_Oinject,axiom,
% 0.29/0.66 ! [A: l > option_val_r_l_v,B: expr_r_l_v,A2: l > option_val_r_l_v,B2: expr_r_l_v] :
% 0.29/0.66 ( ( ( produc1834103605_r_l_v @ A @ B )
% 0.29/0.66 = ( produc1834103605_r_l_v @ A2 @ B2 ) )
% 0.29/0.66 = ( ( A = A2 )
% 0.29/0.66 & ( B = B2 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % old.prod.inject
% 0.29/0.66 thf(fact_19_LID__local__store_Ocases,axiom,
% 0.29/0.66 ! [X: produc1156025366_r_l_v] :
% 0.29/0.66 ~ ! [Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v,E3: expr_r_l_v] :
% 0.29/0.66 ( X
% 0.29/0.66 != ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % LID_local_store.cases
% 0.29/0.66 thf(fact_20_LID__local__store_Oinduct,axiom,
% 0.29/0.66 ! [P: produc1156025366_r_l_v > $o,A0: produc1156025366_r_l_v] :
% 0.29/0.66 ( ! [Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v,E3: expr_r_l_v] : ( P @ ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) )
% 0.29/0.66 => ( P @ A0 ) ) ).
% 0.29/0.66
% 0.29/0.66 % LID_local_store.induct
% 0.29/0.66 thf(fact_21__092_060R_062_092_060_094sub_062L_Oinduct,axiom,
% 0.29/0.66 ! [P: ( r > r ) > ( l > l ) > produc1156025366_r_l_v > $o,A0: r > r,A1: l > l,A22: produc1156025366_r_l_v] :
% 0.29/0.66 ( ! [Alpha: r > r,Beta: l > l,Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v,E3: expr_r_l_v] : ( P @ Alpha @ Beta @ ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) )
% 0.29/0.66 => ( P @ A0 @ A1 @ A22 ) ) ).
% 0.29/0.66
% 0.29/0.66 % \<R>\<^sub>L.induct
% 0.29/0.66 thf(fact_22_map__upd__eqD1,axiom,
% 0.29/0.66 ! [M: r > option1457017436_r_l_v,A: r,X: produc1156025366_r_l_v,N: r > option1457017436_r_l_v,Y: produc1156025366_r_l_v] :
% 0.29/0.66 ( ( ( fun_up709272714_r_l_v @ M @ A @ ( some_P1807977723_r_l_v @ X ) )
% 0.29/0.66 = ( fun_up709272714_r_l_v @ N @ A @ ( some_P1807977723_r_l_v @ Y ) ) )
% 0.29/0.66 => ( X = Y ) ) ).
% 0.29/0.66
% 0.29/0.66 % map_upd_eqD1
% 0.29/0.66 thf(fact_23_map__upd__eqD1,axiom,
% 0.29/0.66 ! [M: l > option_val_r_l_v,A: l,X: val_r_l_v,N: l > option_val_r_l_v,Y: val_r_l_v] :
% 0.29/0.66 ( ( ( fun_up1835647912_r_l_v @ M @ A @ ( some_val_r_l_v @ X ) )
% 0.29/0.66 = ( fun_up1835647912_r_l_v @ N @ A @ ( some_val_r_l_v @ Y ) ) )
% 0.29/0.66 => ( X = Y ) ) ).
% 0.29/0.66
% 0.29/0.66 % map_upd_eqD1
% 0.29/0.66 thf(fact_24__092_060R_062_092_060_094sub_062L_Ocases,axiom,
% 0.29/0.66 ! [X: produc1394974636_r_l_v] :
% 0.29/0.66 ~ ! [Alpha: r > r,Beta: l > l,Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v,E3: expr_r_l_v] :
% 0.29/0.66 ( X
% 0.29/0.66 != ( produc2111504612_r_l_v @ Alpha @ ( produc2057232216_r_l_v @ Beta @ ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % \<R>\<^sub>L.cases
% 0.29/0.66 thf(fact_25_old_Oprod_Oinducts,axiom,
% 0.29/0.66 ! [P: produc1394974636_r_l_v > $o,Prod: produc1394974636_r_l_v] :
% 0.29/0.66 ( ! [A3: r > r,B3: produc1489027110_r_l_v] : ( P @ ( produc2111504612_r_l_v @ A3 @ B3 ) )
% 0.29/0.66 => ( P @ Prod ) ) ).
% 0.29/0.66
% 0.29/0.66 % old.prod.inducts
% 0.29/0.66 thf(fact_26_old_Oprod_Oinducts,axiom,
% 0.29/0.66 ! [P: produc1489027110_r_l_v > $o,Prod: produc1489027110_r_l_v] :
% 0.29/0.66 ( ! [A3: l > l,B3: produc1156025366_r_l_v] : ( P @ ( produc2057232216_r_l_v @ A3 @ B3 ) )
% 0.29/0.66 => ( P @ Prod ) ) ).
% 0.29/0.66
% 0.29/0.66 % old.prod.inducts
% 0.29/0.66 thf(fact_27_old_Oprod_Oinducts,axiom,
% 0.29/0.66 ! [P: produc1156025366_r_l_v > $o,Prod: produc1156025366_r_l_v] :
% 0.29/0.66 ( ! [A3: l > option_val_r_l_v,B3: produc1164766533_r_l_v] : ( P @ ( produc297528454_r_l_v @ A3 @ B3 ) )
% 0.29/0.66 => ( P @ Prod ) ) ).
% 0.29/0.66
% 0.29/0.66 % old.prod.inducts
% 0.29/0.66 thf(fact_28_old_Oprod_Oinducts,axiom,
% 0.29/0.66 ! [P: produc1164766533_r_l_v > $o,Prod: produc1164766533_r_l_v] :
% 0.29/0.66 ( ! [A3: l > option_val_r_l_v,B3: expr_r_l_v] : ( P @ ( produc1834103605_r_l_v @ A3 @ B3 ) )
% 0.29/0.66 => ( P @ Prod ) ) ).
% 0.29/0.66
% 0.29/0.66 % old.prod.inducts
% 0.29/0.66 thf(fact_29_old_Oprod_Oexhaust,axiom,
% 0.29/0.66 ! [Y: produc1394974636_r_l_v] :
% 0.29/0.66 ~ ! [A3: r > r,B3: produc1489027110_r_l_v] :
% 0.29/0.66 ( Y
% 0.29/0.66 != ( produc2111504612_r_l_v @ A3 @ B3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % old.prod.exhaust
% 0.29/0.66 thf(fact_30_old_Oprod_Oexhaust,axiom,
% 0.29/0.66 ! [Y: produc1489027110_r_l_v] :
% 0.29/0.66 ~ ! [A3: l > l,B3: produc1156025366_r_l_v] :
% 0.29/0.66 ( Y
% 0.29/0.66 != ( produc2057232216_r_l_v @ A3 @ B3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % old.prod.exhaust
% 0.29/0.66 thf(fact_31_old_Oprod_Oexhaust,axiom,
% 0.29/0.66 ! [Y: produc1156025366_r_l_v] :
% 0.29/0.66 ~ ! [A3: l > option_val_r_l_v,B3: produc1164766533_r_l_v] :
% 0.29/0.66 ( Y
% 0.29/0.66 != ( produc297528454_r_l_v @ A3 @ B3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % old.prod.exhaust
% 0.29/0.66 thf(fact_32_old_Oprod_Oexhaust,axiom,
% 0.29/0.66 ! [Y: produc1164766533_r_l_v] :
% 0.29/0.66 ~ ! [A3: l > option_val_r_l_v,B3: expr_r_l_v] :
% 0.29/0.66 ( Y
% 0.29/0.66 != ( produc1834103605_r_l_v @ A3 @ B3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % old.prod.exhaust
% 0.29/0.66 thf(fact_33_Pair__inject,axiom,
% 0.29/0.66 ! [A: r > r,B: produc1489027110_r_l_v,A2: r > r,B2: produc1489027110_r_l_v] :
% 0.29/0.66 ( ( ( produc2111504612_r_l_v @ A @ B )
% 0.29/0.66 = ( produc2111504612_r_l_v @ A2 @ B2 ) )
% 0.29/0.66 => ~ ( ( A = A2 )
% 0.29/0.66 => ( B != B2 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % Pair_inject
% 0.29/0.66 thf(fact_34_Pair__inject,axiom,
% 0.29/0.66 ! [A: l > l,B: produc1156025366_r_l_v,A2: l > l,B2: produc1156025366_r_l_v] :
% 0.29/0.66 ( ( ( produc2057232216_r_l_v @ A @ B )
% 0.29/0.66 = ( produc2057232216_r_l_v @ A2 @ B2 ) )
% 0.29/0.66 => ~ ( ( A = A2 )
% 0.29/0.66 => ( B != B2 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % Pair_inject
% 0.29/0.66 thf(fact_35_Pair__inject,axiom,
% 0.29/0.66 ! [A: l > option_val_r_l_v,B: produc1164766533_r_l_v,A2: l > option_val_r_l_v,B2: produc1164766533_r_l_v] :
% 0.29/0.66 ( ( ( produc297528454_r_l_v @ A @ B )
% 0.29/0.66 = ( produc297528454_r_l_v @ A2 @ B2 ) )
% 0.29/0.66 => ~ ( ( A = A2 )
% 0.29/0.66 => ( B != B2 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % Pair_inject
% 0.29/0.66 thf(fact_36_Pair__inject,axiom,
% 0.29/0.66 ! [A: l > option_val_r_l_v,B: expr_r_l_v,A2: l > option_val_r_l_v,B2: expr_r_l_v] :
% 0.29/0.66 ( ( ( produc1834103605_r_l_v @ A @ B )
% 0.29/0.66 = ( produc1834103605_r_l_v @ A2 @ B2 ) )
% 0.29/0.66 => ~ ( ( A = A2 )
% 0.29/0.66 => ( B != B2 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % Pair_inject
% 0.29/0.66 thf(fact_37_prod__cases,axiom,
% 0.29/0.66 ! [P: produc1394974636_r_l_v > $o,P2: produc1394974636_r_l_v] :
% 0.29/0.66 ( ! [A3: r > r,B3: produc1489027110_r_l_v] : ( P @ ( produc2111504612_r_l_v @ A3 @ B3 ) )
% 0.29/0.66 => ( P @ P2 ) ) ).
% 0.29/0.66
% 0.29/0.66 % prod_cases
% 0.29/0.66 thf(fact_38_prod__cases,axiom,
% 0.29/0.66 ! [P: produc1489027110_r_l_v > $o,P2: produc1489027110_r_l_v] :
% 0.29/0.66 ( ! [A3: l > l,B3: produc1156025366_r_l_v] : ( P @ ( produc2057232216_r_l_v @ A3 @ B3 ) )
% 0.29/0.66 => ( P @ P2 ) ) ).
% 0.29/0.66
% 0.29/0.66 % prod_cases
% 0.29/0.66 thf(fact_39_prod__cases,axiom,
% 0.29/0.66 ! [P: produc1156025366_r_l_v > $o,P2: produc1156025366_r_l_v] :
% 0.29/0.66 ( ! [A3: l > option_val_r_l_v,B3: produc1164766533_r_l_v] : ( P @ ( produc297528454_r_l_v @ A3 @ B3 ) )
% 0.29/0.66 => ( P @ P2 ) ) ).
% 0.29/0.66
% 0.29/0.66 % prod_cases
% 0.29/0.66 thf(fact_40_prod__cases,axiom,
% 0.29/0.66 ! [P: produc1164766533_r_l_v > $o,P2: produc1164766533_r_l_v] :
% 0.29/0.66 ( ! [A3: l > option_val_r_l_v,B3: expr_r_l_v] : ( P @ ( produc1834103605_r_l_v @ A3 @ B3 ) )
% 0.29/0.66 => ( P @ P2 ) ) ).
% 0.29/0.66
% 0.29/0.66 % prod_cases
% 0.29/0.66 thf(fact_41_surj__pair,axiom,
% 0.29/0.66 ! [P2: produc1394974636_r_l_v] :
% 0.29/0.66 ? [X3: r > r,Y3: produc1489027110_r_l_v] :
% 0.29/0.66 ( P2
% 0.29/0.66 = ( produc2111504612_r_l_v @ X3 @ Y3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % surj_pair
% 0.29/0.66 thf(fact_42_surj__pair,axiom,
% 0.29/0.66 ! [P2: produc1489027110_r_l_v] :
% 0.29/0.66 ? [X3: l > l,Y3: produc1156025366_r_l_v] :
% 0.29/0.66 ( P2
% 0.29/0.66 = ( produc2057232216_r_l_v @ X3 @ Y3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % surj_pair
% 0.29/0.66 thf(fact_43_surj__pair,axiom,
% 0.29/0.66 ! [P2: produc1156025366_r_l_v] :
% 0.29/0.66 ? [X3: l > option_val_r_l_v,Y3: produc1164766533_r_l_v] :
% 0.29/0.66 ( P2
% 0.29/0.66 = ( produc297528454_r_l_v @ X3 @ Y3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % surj_pair
% 0.29/0.66 thf(fact_44_surj__pair,axiom,
% 0.29/0.66 ! [P2: produc1164766533_r_l_v] :
% 0.29/0.66 ? [X3: l > option_val_r_l_v,Y3: expr_r_l_v] :
% 0.29/0.66 ( P2
% 0.29/0.66 = ( produc1834103605_r_l_v @ X3 @ Y3 ) ) ).
% 0.29/0.66
% 0.29/0.66 % surj_pair
% 0.29/0.66 thf(fact_45_fun__upd__idem__iff,axiom,
% 0.29/0.66 ! [F: r > option1457017436_r_l_v,X: r,Y: option1457017436_r_l_v] :
% 0.29/0.66 ( ( ( fun_up709272714_r_l_v @ F @ X @ Y )
% 0.29/0.66 = F )
% 0.29/0.66 = ( ( F @ X )
% 0.29/0.66 = Y ) ) ).
% 0.29/0.66
% 0.29/0.66 % fun_upd_idem_iff
% 0.29/0.66 thf(fact_46_fun__upd__idem__iff,axiom,
% 0.29/0.66 ! [F: l > option_val_r_l_v,X: l,Y: option_val_r_l_v] :
% 0.29/0.66 ( ( ( fun_up1835647912_r_l_v @ F @ X @ Y )
% 0.29/0.66 = F )
% 0.29/0.66 = ( ( F @ X )
% 0.29/0.66 = Y ) ) ).
% 0.29/0.66
% 0.29/0.66 % fun_upd_idem_iff
% 0.29/0.66 thf(fact_47_fun__upd__twist,axiom,
% 0.29/0.66 ! [A: r,C: r,M: r > option1457017436_r_l_v,B: option1457017436_r_l_v,D: option1457017436_r_l_v] :
% 0.29/0.66 ( ( A != C )
% 0.29/0.66 => ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ M @ A @ B ) @ C @ D )
% 0.29/0.66 = ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ M @ C @ D ) @ A @ B ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % fun_upd_twist
% 0.29/0.66 thf(fact_48_fun__upd__twist,axiom,
% 0.29/0.66 ! [A: l,C: l,M: l > option_val_r_l_v,B: option_val_r_l_v,D: option_val_r_l_v] :
% 0.29/0.66 ( ( A != C )
% 0.29/0.66 => ( ( fun_up1835647912_r_l_v @ ( fun_up1835647912_r_l_v @ M @ A @ B ) @ C @ D )
% 0.29/0.66 = ( fun_up1835647912_r_l_v @ ( fun_up1835647912_r_l_v @ M @ C @ D ) @ A @ B ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % fun_upd_twist
% 0.29/0.66 thf(fact_49_fun__upd__other,axiom,
% 0.29/0.66 ! [Z: r,X: r,F: r > option1457017436_r_l_v,Y: option1457017436_r_l_v] :
% 0.29/0.66 ( ( Z != X )
% 0.29/0.66 => ( ( fun_up709272714_r_l_v @ F @ X @ Y @ Z )
% 0.29/0.66 = ( F @ Z ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % fun_upd_other
% 0.29/0.66 thf(fact_50_fun__upd__other,axiom,
% 0.29/0.66 ! [Z: l,X: l,F: l > option_val_r_l_v,Y: option_val_r_l_v] :
% 0.29/0.66 ( ( Z != X )
% 0.29/0.66 => ( ( fun_up1835647912_r_l_v @ F @ X @ Y @ Z )
% 0.29/0.66 = ( F @ Z ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % fun_upd_other
% 0.29/0.66 thf(fact_51_fun__upd__same,axiom,
% 0.29/0.66 ! [F: r > option1457017436_r_l_v,X: r,Y: option1457017436_r_l_v] :
% 0.29/0.66 ( ( fun_up709272714_r_l_v @ F @ X @ Y @ X )
% 0.29/0.66 = Y ) ).
% 0.29/0.66
% 0.29/0.66 % fun_upd_same
% 0.29/0.66 thf(fact_52_fun__upd__same,axiom,
% 0.29/0.66 ! [F: l > option_val_r_l_v,X: l,Y: option_val_r_l_v] :
% 0.29/0.66 ( ( fun_up1835647912_r_l_v @ F @ X @ Y @ X )
% 0.29/0.66 = Y ) ).
% 0.29/0.66
% 0.29/0.66 % fun_upd_same
% 0.29/0.66 thf(fact_53_fun__upd__idem,axiom,
% 0.29/0.66 ! [F: r > option1457017436_r_l_v,X: r,Y: option1457017436_r_l_v] :
% 0.29/0.66 ( ( ( F @ X )
% 0.29/0.66 = Y )
% 0.29/0.66 => ( ( fun_up709272714_r_l_v @ F @ X @ Y )
% 0.29/0.66 = F ) ) ).
% 0.29/0.66
% 0.29/0.66 % fun_upd_idem
% 0.29/0.66 thf(fact_54_fun__upd__idem,axiom,
% 0.29/0.66 ! [F: l > option_val_r_l_v,X: l,Y: option_val_r_l_v] :
% 0.29/0.66 ( ( ( F @ X )
% 0.29/0.66 = Y )
% 0.29/0.66 => ( ( fun_up1835647912_r_l_v @ F @ X @ Y )
% 0.29/0.66 = F ) ) ).
% 0.29/0.66
% 0.29/0.66 % fun_upd_idem
% 0.29/0.66 thf(fact_55_fun__upd__eqD,axiom,
% 0.29/0.66 ! [F: r > option1457017436_r_l_v,X: r,Y: option1457017436_r_l_v,G: r > option1457017436_r_l_v,Z: option1457017436_r_l_v] :
% 0.29/0.66 ( ( ( fun_up709272714_r_l_v @ F @ X @ Y )
% 0.29/0.66 = ( fun_up709272714_r_l_v @ G @ X @ Z ) )
% 0.29/0.66 => ( Y = Z ) ) ).
% 0.29/0.66
% 0.29/0.66 % fun_upd_eqD
% 0.29/0.66 thf(fact_56_fun__upd__eqD,axiom,
% 0.29/0.66 ! [F: l > option_val_r_l_v,X: l,Y: option_val_r_l_v,G: l > option_val_r_l_v,Z: option_val_r_l_v] :
% 0.29/0.66 ( ( ( fun_up1835647912_r_l_v @ F @ X @ Y )
% 0.29/0.66 = ( fun_up1835647912_r_l_v @ G @ X @ Z ) )
% 0.29/0.66 => ( Y = Z ) ) ).
% 0.29/0.66
% 0.29/0.66 % fun_upd_eqD
% 0.29/0.66 thf(fact_57_fun__upd__def,axiom,
% 0.29/0.66 ( fun_up709272714_r_l_v
% 0.29/0.66 = ( ^ [F2: r > option1457017436_r_l_v,A4: r,B4: option1457017436_r_l_v,X2: r] : ( if_opt1153928738_r_l_v @ ( X2 = A4 ) @ B4 @ ( F2 @ X2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % fun_upd_def
% 0.29/0.66 thf(fact_58_fun__upd__def,axiom,
% 0.29/0.66 ( fun_up1835647912_r_l_v
% 0.29/0.66 = ( ^ [F2: l > option_val_r_l_v,A4: l,B4: option_val_r_l_v,X2: l] : ( if_option_val_r_l_v @ ( X2 = A4 ) @ B4 @ ( F2 @ X2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % fun_upd_def
% 0.29/0.66 thf(fact_59_prod__induct5,axiom,
% 0.29/0.66 ! [P: produc1394974636_r_l_v > $o,X: produc1394974636_r_l_v] :
% 0.29/0.66 ( ! [A3: r > r,B3: l > l,C2: l > option_val_r_l_v,D2: l > option_val_r_l_v,E3: expr_r_l_v] : ( P @ ( produc2111504612_r_l_v @ A3 @ ( produc2057232216_r_l_v @ B3 @ ( produc297528454_r_l_v @ C2 @ ( produc1834103605_r_l_v @ D2 @ E3 ) ) ) ) )
% 0.29/0.66 => ( P @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % prod_induct5
% 0.29/0.66 thf(fact_60_prod__induct4,axiom,
% 0.29/0.66 ! [P: produc1394974636_r_l_v > $o,X: produc1394974636_r_l_v] :
% 0.29/0.66 ( ! [A3: r > r,B3: l > l,C2: l > option_val_r_l_v,D2: produc1164766533_r_l_v] : ( P @ ( produc2111504612_r_l_v @ A3 @ ( produc2057232216_r_l_v @ B3 @ ( produc297528454_r_l_v @ C2 @ D2 ) ) ) )
% 0.29/0.66 => ( P @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % prod_induct4
% 0.29/0.66 thf(fact_61_prod__induct4,axiom,
% 0.29/0.66 ! [P: produc1489027110_r_l_v > $o,X: produc1489027110_r_l_v] :
% 0.29/0.66 ( ! [A3: l > l,B3: l > option_val_r_l_v,C2: l > option_val_r_l_v,D2: expr_r_l_v] : ( P @ ( produc2057232216_r_l_v @ A3 @ ( produc297528454_r_l_v @ B3 @ ( produc1834103605_r_l_v @ C2 @ D2 ) ) ) )
% 0.29/0.66 => ( P @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % prod_induct4
% 0.29/0.66 thf(fact_62_prod__induct3,axiom,
% 0.29/0.66 ! [P: produc1394974636_r_l_v > $o,X: produc1394974636_r_l_v] :
% 0.29/0.66 ( ! [A3: r > r,B3: l > l,C2: produc1156025366_r_l_v] : ( P @ ( produc2111504612_r_l_v @ A3 @ ( produc2057232216_r_l_v @ B3 @ C2 ) ) )
% 0.29/0.66 => ( P @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % prod_induct3
% 0.29/0.66 thf(fact_63_prod__induct3,axiom,
% 0.29/0.66 ! [P: produc1489027110_r_l_v > $o,X: produc1489027110_r_l_v] :
% 0.29/0.66 ( ! [A3: l > l,B3: l > option_val_r_l_v,C2: produc1164766533_r_l_v] : ( P @ ( produc2057232216_r_l_v @ A3 @ ( produc297528454_r_l_v @ B3 @ C2 ) ) )
% 0.29/0.66 => ( P @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % prod_induct3
% 0.29/0.66 thf(fact_64_prod__induct3,axiom,
% 0.29/0.66 ! [P: produc1156025366_r_l_v > $o,X: produc1156025366_r_l_v] :
% 0.29/0.66 ( ! [A3: l > option_val_r_l_v,B3: l > option_val_r_l_v,C2: expr_r_l_v] : ( P @ ( produc297528454_r_l_v @ A3 @ ( produc1834103605_r_l_v @ B3 @ C2 ) ) )
% 0.29/0.66 => ( P @ X ) ) ).
% 0.29/0.66
% 0.29/0.66 % prod_induct3
% 0.29/0.66 thf(fact_65_prod__cases5,axiom,
% 0.29/0.66 ! [Y: produc1394974636_r_l_v] :
% 0.29/0.66 ~ ! [A3: r > r,B3: l > l,C2: l > option_val_r_l_v,D2: l > option_val_r_l_v,E3: expr_r_l_v] :
% 0.29/0.66 ( Y
% 0.29/0.66 != ( produc2111504612_r_l_v @ A3 @ ( produc2057232216_r_l_v @ B3 @ ( produc297528454_r_l_v @ C2 @ ( produc1834103605_r_l_v @ D2 @ E3 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % prod_cases5
% 0.29/0.66 thf(fact_66_prod__cases4,axiom,
% 0.29/0.66 ! [Y: produc1394974636_r_l_v] :
% 0.29/0.66 ~ ! [A3: r > r,B3: l > l,C2: l > option_val_r_l_v,D2: produc1164766533_r_l_v] :
% 0.29/0.66 ( Y
% 0.29/0.66 != ( produc2111504612_r_l_v @ A3 @ ( produc2057232216_r_l_v @ B3 @ ( produc297528454_r_l_v @ C2 @ D2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % prod_cases4
% 0.29/0.66 thf(fact_67_prod__cases4,axiom,
% 0.29/0.66 ! [Y: produc1489027110_r_l_v] :
% 0.29/0.66 ~ ! [A3: l > l,B3: l > option_val_r_l_v,C2: l > option_val_r_l_v,D2: expr_r_l_v] :
% 0.29/0.66 ( Y
% 0.29/0.66 != ( produc2057232216_r_l_v @ A3 @ ( produc297528454_r_l_v @ B3 @ ( produc1834103605_r_l_v @ C2 @ D2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % prod_cases4
% 0.29/0.66 thf(fact_68_prod__cases3,axiom,
% 0.29/0.66 ! [Y: produc1394974636_r_l_v] :
% 0.29/0.66 ~ ! [A3: r > r,B3: l > l,C2: produc1156025366_r_l_v] :
% 0.29/0.66 ( Y
% 0.29/0.66 != ( produc2111504612_r_l_v @ A3 @ ( produc2057232216_r_l_v @ B3 @ C2 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % prod_cases3
% 0.29/0.66 thf(fact_69_prod__cases3,axiom,
% 0.29/0.66 ! [Y: produc1489027110_r_l_v] :
% 0.29/0.66 ~ ! [A3: l > l,B3: l > option_val_r_l_v,C2: produc1164766533_r_l_v] :
% 0.29/0.66 ( Y
% 0.29/0.66 != ( produc2057232216_r_l_v @ A3 @ ( produc297528454_r_l_v @ B3 @ C2 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % prod_cases3
% 0.29/0.66 thf(fact_70_prod__cases3,axiom,
% 0.29/0.66 ! [Y: produc1156025366_r_l_v] :
% 0.29/0.66 ~ ! [A3: l > option_val_r_l_v,B3: l > option_val_r_l_v,C2: expr_r_l_v] :
% 0.29/0.66 ( Y
% 0.29/0.66 != ( produc297528454_r_l_v @ A3 @ ( produc1834103605_r_l_v @ B3 @ C2 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % prod_cases3
% 0.29/0.66 thf(fact_71_map__upd__Some__unfold,axiom,
% 0.29/0.66 ! [M: r > option1457017436_r_l_v,A: r,B: produc1156025366_r_l_v,X: r,Y: produc1156025366_r_l_v] :
% 0.29/0.66 ( ( ( fun_up709272714_r_l_v @ M @ A @ ( some_P1807977723_r_l_v @ B ) @ X )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ Y ) )
% 0.29/0.66 = ( ( ( X = A )
% 0.29/0.66 & ( B = Y ) )
% 0.29/0.66 | ( ( X != A )
% 0.29/0.66 & ( ( M @ X )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ Y ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % map_upd_Some_unfold
% 0.29/0.66 thf(fact_72_map__upd__Some__unfold,axiom,
% 0.29/0.66 ! [M: l > option_val_r_l_v,A: l,B: val_r_l_v,X: l,Y: val_r_l_v] :
% 0.29/0.66 ( ( ( fun_up1835647912_r_l_v @ M @ A @ ( some_val_r_l_v @ B ) @ X )
% 0.29/0.66 = ( some_val_r_l_v @ Y ) )
% 0.29/0.66 = ( ( ( X = A )
% 0.29/0.66 & ( B = Y ) )
% 0.29/0.66 | ( ( X != A )
% 0.29/0.66 & ( ( M @ X )
% 0.29/0.66 = ( some_val_r_l_v @ Y ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % map_upd_Some_unfold
% 0.29/0.66 thf(fact_73_map__upd__triv,axiom,
% 0.29/0.66 ! [T: r > option1457017436_r_l_v,K: r,X: produc1156025366_r_l_v] :
% 0.29/0.66 ( ( ( T @ K )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ X ) )
% 0.29/0.66 => ( ( fun_up709272714_r_l_v @ T @ K @ ( some_P1807977723_r_l_v @ X ) )
% 0.29/0.66 = T ) ) ).
% 0.29/0.66
% 0.29/0.66 % map_upd_triv
% 0.29/0.66 thf(fact_74_map__upd__triv,axiom,
% 0.29/0.66 ! [T: l > option_val_r_l_v,K: l,X: val_r_l_v] :
% 0.29/0.66 ( ( ( T @ K )
% 0.29/0.66 = ( some_val_r_l_v @ X ) )
% 0.29/0.66 => ( ( fun_up1835647912_r_l_v @ T @ K @ ( some_val_r_l_v @ X ) )
% 0.29/0.66 = T ) ) ).
% 0.29/0.66
% 0.29/0.66 % map_upd_triv
% 0.29/0.66 thf(fact_75_LID__local__store_Osimps,axiom,
% 0.29/0.66 ! [Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E4: expr_r_l_v] :
% 0.29/0.66 ( ( lID_lo1265057957_l_r_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ E4 ) ) )
% 0.29/0.66 = Tau2 ) ).
% 0.29/0.66
% 0.29/0.66 % LID_local_store.simps
% 0.29/0.66 thf(fact_76_LID__local__store_Oelims,axiom,
% 0.29/0.66 ! [X: produc1156025366_r_l_v,Y: l > option_val_r_l_v] :
% 0.29/0.66 ( ( ( lID_lo1265057957_l_r_v @ X )
% 0.29/0.66 = Y )
% 0.29/0.66 => ~ ! [Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v] :
% 0.29/0.66 ( ? [E3: expr_r_l_v] :
% 0.29/0.66 ( X
% 0.29/0.66 = ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) )
% 0.29/0.66 => ( Y != Tau ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % LID_local_store.elims
% 0.29/0.66 thf(fact_77_LID__expression_Osimps,axiom,
% 0.29/0.66 ! [Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E4: expr_r_l_v] :
% 0.29/0.66 ( ( lID_expression_l_r_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ E4 ) ) )
% 0.29/0.66 = E4 ) ).
% 0.29/0.66
% 0.29/0.66 % LID_expression.simps
% 0.29/0.66 thf(fact_78_LID__expression_Oelims,axiom,
% 0.29/0.66 ! [X: produc1156025366_r_l_v,Y: expr_r_l_v] :
% 0.29/0.66 ( ( ( lID_expression_l_r_v @ X )
% 0.29/0.66 = Y )
% 0.29/0.66 => ~ ! [Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v,E3: expr_r_l_v] :
% 0.29/0.66 ( ( X
% 0.29/0.66 = ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) )
% 0.29/0.66 => ( Y != E3 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % LID_expression.elims
% 0.29/0.66 thf(fact_79_mem__Collect__eq,axiom,
% 0.29/0.66 ! [A: set_l,P: set_l > $o] :
% 0.29/0.66 ( ( member_set_l @ A @ ( collect_set_l @ P ) )
% 0.29/0.66 = ( P @ A ) ) ).
% 0.29/0.66
% 0.29/0.66 % mem_Collect_eq
% 0.29/0.66 thf(fact_80_mem__Collect__eq,axiom,
% 0.29/0.66 ! [A: set_r,P: set_r > $o] :
% 0.29/0.66 ( ( member_set_r @ A @ ( collect_set_r @ P ) )
% 0.29/0.66 = ( P @ A ) ) ).
% 0.29/0.66
% 0.29/0.66 % mem_Collect_eq
% 0.29/0.66 thf(fact_81_mem__Collect__eq,axiom,
% 0.29/0.66 ! [A: r,P: r > $o] :
% 0.29/0.66 ( ( member_r @ A @ ( collect_r @ P ) )
% 0.29/0.66 = ( P @ A ) ) ).
% 0.29/0.66
% 0.29/0.66 % mem_Collect_eq
% 0.29/0.66 thf(fact_82_mem__Collect__eq,axiom,
% 0.29/0.66 ! [A: l,P: l > $o] :
% 0.29/0.66 ( ( member_l @ A @ ( collect_l @ P ) )
% 0.29/0.66 = ( P @ A ) ) ).
% 0.29/0.66
% 0.29/0.66 % mem_Collect_eq
% 0.29/0.66 thf(fact_83_Collect__mem__eq,axiom,
% 0.29/0.66 ! [A5: set_set_l] :
% 0.29/0.66 ( ( collect_set_l
% 0.29/0.66 @ ^ [X2: set_l] : ( member_set_l @ X2 @ A5 ) )
% 0.29/0.66 = A5 ) ).
% 0.29/0.66
% 0.29/0.66 % Collect_mem_eq
% 0.29/0.66 thf(fact_84_Collect__mem__eq,axiom,
% 0.29/0.66 ! [A5: set_set_r] :
% 0.29/0.66 ( ( collect_set_r
% 0.29/0.66 @ ^ [X2: set_r] : ( member_set_r @ X2 @ A5 ) )
% 0.29/0.66 = A5 ) ).
% 0.29/0.66
% 0.29/0.66 % Collect_mem_eq
% 0.29/0.66 thf(fact_85_Collect__mem__eq,axiom,
% 0.29/0.66 ! [A5: set_r] :
% 0.29/0.66 ( ( collect_r
% 0.29/0.66 @ ^ [X2: r] : ( member_r @ X2 @ A5 ) )
% 0.29/0.66 = A5 ) ).
% 0.29/0.66
% 0.29/0.66 % Collect_mem_eq
% 0.29/0.66 thf(fact_86_Collect__mem__eq,axiom,
% 0.29/0.66 ! [A5: set_l] :
% 0.29/0.66 ( ( collect_l
% 0.29/0.66 @ ^ [X2: l] : ( member_l @ X2 @ A5 ) )
% 0.29/0.66 = A5 ) ).
% 0.29/0.66
% 0.29/0.66 % Collect_mem_eq
% 0.29/0.66 thf(fact_87_Collect__cong,axiom,
% 0.29/0.66 ! [P: l > $o,Q: l > $o] :
% 0.29/0.66 ( ! [X3: l] :
% 0.29/0.66 ( ( P @ X3 )
% 0.29/0.66 = ( Q @ X3 ) )
% 0.29/0.66 => ( ( collect_l @ P )
% 0.29/0.66 = ( collect_l @ Q ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % Collect_cong
% 0.29/0.66 thf(fact_88_Collect__cong,axiom,
% 0.29/0.66 ! [P: r > $o,Q: r > $o] :
% 0.29/0.66 ( ! [X3: r] :
% 0.29/0.66 ( ( P @ X3 )
% 0.29/0.66 = ( Q @ X3 ) )
% 0.29/0.66 => ( ( collect_r @ P )
% 0.29/0.66 = ( collect_r @ Q ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % Collect_cong
% 0.29/0.66 thf(fact_89_Collect__cong,axiom,
% 0.29/0.66 ! [P: set_l > $o,Q: set_l > $o] :
% 0.29/0.66 ( ! [X3: set_l] :
% 0.29/0.66 ( ( P @ X3 )
% 0.29/0.66 = ( Q @ X3 ) )
% 0.29/0.66 => ( ( collect_set_l @ P )
% 0.29/0.66 = ( collect_set_l @ Q ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % Collect_cong
% 0.29/0.66 thf(fact_90_Collect__cong,axiom,
% 0.29/0.66 ! [P: set_r > $o,Q: set_r > $o] :
% 0.29/0.66 ( ! [X3: set_r] :
% 0.29/0.66 ( ( P @ X3 )
% 0.29/0.66 = ( Q @ X3 ) )
% 0.29/0.66 => ( ( collect_set_r @ P )
% 0.29/0.66 = ( collect_set_r @ Q ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % Collect_cong
% 0.29/0.66 thf(fact_91_local_Ofork_I3_J,axiom,
% 0.29/0.66 ~ ( member_r @ r3 @ ( rID_G_r_l_v @ s ) ) ).
% 0.29/0.66
% 0.29/0.66 % local.fork(3)
% 0.29/0.66 thf(fact_92_LID__snapshot_Osimps,axiom,
% 0.29/0.66 ! [Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E4: expr_r_l_v] :
% 0.29/0.66 ( ( lID_snapshot_l_r_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ E4 ) ) )
% 0.29/0.66 = Sigma2 ) ).
% 0.29/0.66
% 0.29/0.66 % LID_snapshot.simps
% 0.29/0.66 thf(fact_93_LID__snapshot_Oelims,axiom,
% 0.29/0.66 ! [X: produc1156025366_r_l_v,Y: l > option_val_r_l_v] :
% 0.29/0.66 ( ( ( lID_snapshot_l_r_v @ X )
% 0.29/0.66 = Y )
% 0.29/0.66 => ~ ! [Sigma: l > option_val_r_l_v] :
% 0.29/0.66 ( ? [Tau: l > option_val_r_l_v,E3: expr_r_l_v] :
% 0.29/0.66 ( X
% 0.29/0.66 = ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) )
% 0.29/0.66 => ( Y != Sigma ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % LID_snapshot.elims
% 0.29/0.66 thf(fact_94_local_Ofork_I1_J,axiom,
% 0.29/0.66 ( s2
% 0.29/0.66 = ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ s @ r2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( vE_r_l_v @ ( rid_r_l_v @ r3 ) ) ) ) ) ) ) @ r3
% 0.29/0.66 @ ( some_P1807977723_r_l_v
% 0.29/0.66 @ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ sigma @ tau )
% 0.29/0.66 @ ( produc1834103605_r_l_v
% 0.29/0.66 @ ^ [X2: l] : none_val_r_l_v
% 0.29/0.66 @ e2 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % local.fork(1)
% 0.29/0.66 thf(fact_95_expr_Oinject_I1_J,axiom,
% 0.29/0.66 ! [X1: val_r_l_v,Y1: val_r_l_v] :
% 0.29/0.66 ( ( ( vE_r_l_v @ X1 )
% 0.29/0.66 = ( vE_r_l_v @ Y1 ) )
% 0.29/0.66 = ( X1 = Y1 ) ) ).
% 0.29/0.66
% 0.29/0.66 % expr.inject(1)
% 0.29/0.66 thf(fact_96_val_Oinject_I4_J,axiom,
% 0.29/0.66 ! [X4: r,Y4: r] :
% 0.29/0.66 ( ( ( rid_r_l_v @ X4 )
% 0.29/0.66 = ( rid_r_l_v @ Y4 ) )
% 0.29/0.66 = ( X4 = Y4 ) ) ).
% 0.29/0.66
% 0.29/0.66 % val.inject(4)
% 0.29/0.66 thf(fact_97_not__None__eq,axiom,
% 0.29/0.66 ! [X: option1457017436_r_l_v] :
% 0.29/0.66 ( ( X != none_P277133687_r_l_v )
% 0.29/0.66 = ( ? [Y2: produc1156025366_r_l_v] :
% 0.29/0.66 ( X
% 0.29/0.66 = ( some_P1807977723_r_l_v @ Y2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % not_None_eq
% 0.29/0.66 thf(fact_98_not__None__eq,axiom,
% 0.29/0.66 ! [X: option_val_r_l_v] :
% 0.29/0.66 ( ( X != none_val_r_l_v )
% 0.29/0.66 = ( ? [Y2: val_r_l_v] :
% 0.29/0.66 ( X
% 0.29/0.66 = ( some_val_r_l_v @ Y2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % not_None_eq
% 0.29/0.66 thf(fact_99_not__Some__eq,axiom,
% 0.29/0.66 ! [X: option1457017436_r_l_v] :
% 0.29/0.66 ( ( ! [Y2: produc1156025366_r_l_v] :
% 0.29/0.66 ( X
% 0.29/0.66 != ( some_P1807977723_r_l_v @ Y2 ) ) )
% 0.29/0.66 = ( X = none_P277133687_r_l_v ) ) ).
% 0.29/0.66
% 0.29/0.66 % not_Some_eq
% 0.29/0.66 thf(fact_100_not__Some__eq,axiom,
% 0.29/0.66 ! [X: option_val_r_l_v] :
% 0.29/0.66 ( ( ! [Y2: val_r_l_v] :
% 0.29/0.66 ( X
% 0.29/0.66 != ( some_val_r_l_v @ Y2 ) ) )
% 0.29/0.66 = ( X = none_val_r_l_v ) ) ).
% 0.29/0.66
% 0.29/0.66 % not_Some_eq
% 0.29/0.66 thf(fact_101_empty__upd__none,axiom,
% 0.29/0.66 ! [X: l] :
% 0.29/0.66 ( ( fun_up1835647912_r_l_v
% 0.29/0.66 @ ^ [X2: l] : none_val_r_l_v
% 0.29/0.66 @ X
% 0.29/0.66 @ none_val_r_l_v )
% 0.29/0.66 = ( ^ [X2: l] : none_val_r_l_v ) ) ).
% 0.29/0.66
% 0.29/0.66 % empty_upd_none
% 0.29/0.66 thf(fact_102_empty__upd__none,axiom,
% 0.29/0.66 ! [X: r] :
% 0.29/0.66 ( ( fun_up709272714_r_l_v
% 0.29/0.66 @ ^ [X2: r] : none_P277133687_r_l_v
% 0.29/0.66 @ X
% 0.29/0.66 @ none_P277133687_r_l_v )
% 0.29/0.66 = ( ^ [X2: r] : none_P277133687_r_l_v ) ) ).
% 0.29/0.66
% 0.29/0.66 % empty_upd_none
% 0.29/0.66 thf(fact_103_combine_Oelims,axiom,
% 0.29/0.66 ! [X: l > option_val_r_l_v,Xa: l > option_val_r_l_v,Xb: l,Y: option_val_r_l_v] :
% 0.29/0.66 ( ( ( combine_l_val_r_l_v @ X @ Xa @ Xb )
% 0.29/0.66 = Y )
% 0.29/0.66 => ( ( ( ( Xa @ Xb )
% 0.29/0.66 = none_val_r_l_v )
% 0.29/0.66 => ( Y
% 0.29/0.66 = ( X @ Xb ) ) )
% 0.29/0.66 & ( ( ( Xa @ Xb )
% 0.29/0.66 != none_val_r_l_v )
% 0.29/0.66 => ( Y
% 0.29/0.66 = ( Xa @ Xb ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % combine.elims
% 0.29/0.66 thf(fact_104_combine_Osimps,axiom,
% 0.29/0.66 ( combine_l_val_r_l_v
% 0.29/0.66 = ( ^ [F2: l > option_val_r_l_v,G2: l > option_val_r_l_v,X2: l] :
% 0.29/0.66 ( if_option_val_r_l_v
% 0.29/0.66 @ ( ( G2 @ X2 )
% 0.29/0.66 = none_val_r_l_v )
% 0.29/0.66 @ ( F2 @ X2 )
% 0.29/0.66 @ ( G2 @ X2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % combine.simps
% 0.29/0.66 thf(fact_105_option_Odistinct_I1_J,axiom,
% 0.29/0.66 ! [X22: produc1156025366_r_l_v] :
% 0.29/0.66 ( none_P277133687_r_l_v
% 0.29/0.66 != ( some_P1807977723_r_l_v @ X22 ) ) ).
% 0.29/0.66
% 0.29/0.66 % option.distinct(1)
% 0.29/0.66 thf(fact_106_option_Odistinct_I1_J,axiom,
% 0.29/0.66 ! [X22: val_r_l_v] :
% 0.29/0.66 ( none_val_r_l_v
% 0.29/0.66 != ( some_val_r_l_v @ X22 ) ) ).
% 0.29/0.66
% 0.29/0.66 % option.distinct(1)
% 0.29/0.66 thf(fact_107_option_OdiscI,axiom,
% 0.29/0.66 ! [Option: option1457017436_r_l_v,X22: produc1156025366_r_l_v] :
% 0.29/0.66 ( ( Option
% 0.29/0.66 = ( some_P1807977723_r_l_v @ X22 ) )
% 0.29/0.66 => ( Option != none_P277133687_r_l_v ) ) ).
% 0.29/0.66
% 0.29/0.66 % option.discI
% 0.29/0.66 thf(fact_108_option_OdiscI,axiom,
% 0.29/0.66 ! [Option: option_val_r_l_v,X22: val_r_l_v] :
% 0.29/0.66 ( ( Option
% 0.29/0.66 = ( some_val_r_l_v @ X22 ) )
% 0.29/0.66 => ( Option != none_val_r_l_v ) ) ).
% 0.29/0.66
% 0.29/0.66 % option.discI
% 0.29/0.66 thf(fact_109_option_Oexhaust,axiom,
% 0.29/0.66 ! [Y: option1457017436_r_l_v] :
% 0.29/0.66 ( ( Y != none_P277133687_r_l_v )
% 0.29/0.66 => ~ ! [X23: produc1156025366_r_l_v] :
% 0.29/0.66 ( Y
% 0.29/0.66 != ( some_P1807977723_r_l_v @ X23 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % option.exhaust
% 0.29/0.66 thf(fact_110_option_Oexhaust,axiom,
% 0.29/0.66 ! [Y: option_val_r_l_v] :
% 0.29/0.66 ( ( Y != none_val_r_l_v )
% 0.29/0.66 => ~ ! [X23: val_r_l_v] :
% 0.29/0.66 ( Y
% 0.29/0.66 != ( some_val_r_l_v @ X23 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % option.exhaust
% 0.29/0.66 thf(fact_111_option_Oinducts,axiom,
% 0.29/0.66 ! [P: option1457017436_r_l_v > $o,Option: option1457017436_r_l_v] :
% 0.29/0.66 ( ( P @ none_P277133687_r_l_v )
% 0.29/0.66 => ( ! [X3: produc1156025366_r_l_v] : ( P @ ( some_P1807977723_r_l_v @ X3 ) )
% 0.29/0.66 => ( P @ Option ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % option.inducts
% 0.29/0.66 thf(fact_112_option_Oinducts,axiom,
% 0.29/0.66 ! [P: option_val_r_l_v > $o,Option: option_val_r_l_v] :
% 0.29/0.66 ( ( P @ none_val_r_l_v )
% 0.29/0.66 => ( ! [X3: val_r_l_v] : ( P @ ( some_val_r_l_v @ X3 ) )
% 0.29/0.66 => ( P @ Option ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % option.inducts
% 0.29/0.66 thf(fact_113_split__option__ex,axiom,
% 0.29/0.66 ( ( ^ [P3: option1457017436_r_l_v > $o] :
% 0.29/0.66 ? [X5: option1457017436_r_l_v] : ( P3 @ X5 ) )
% 0.29/0.66 = ( ^ [P4: option1457017436_r_l_v > $o] :
% 0.29/0.66 ( ( P4 @ none_P277133687_r_l_v )
% 0.29/0.66 | ? [X2: produc1156025366_r_l_v] : ( P4 @ ( some_P1807977723_r_l_v @ X2 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % split_option_ex
% 0.29/0.66 thf(fact_114_split__option__ex,axiom,
% 0.29/0.66 ( ( ^ [P3: option_val_r_l_v > $o] :
% 0.29/0.66 ? [X5: option_val_r_l_v] : ( P3 @ X5 ) )
% 0.29/0.66 = ( ^ [P4: option_val_r_l_v > $o] :
% 0.29/0.66 ( ( P4 @ none_val_r_l_v )
% 0.29/0.66 | ? [X2: val_r_l_v] : ( P4 @ ( some_val_r_l_v @ X2 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % split_option_ex
% 0.29/0.66 thf(fact_115_split__option__all,axiom,
% 0.29/0.66 ( ( ^ [P3: option1457017436_r_l_v > $o] :
% 0.29/0.66 ! [X5: option1457017436_r_l_v] : ( P3 @ X5 ) )
% 0.29/0.66 = ( ^ [P4: option1457017436_r_l_v > $o] :
% 0.29/0.66 ( ( P4 @ none_P277133687_r_l_v )
% 0.29/0.66 & ! [X2: produc1156025366_r_l_v] : ( P4 @ ( some_P1807977723_r_l_v @ X2 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % split_option_all
% 0.29/0.66 thf(fact_116_split__option__all,axiom,
% 0.29/0.66 ( ( ^ [P3: option_val_r_l_v > $o] :
% 0.29/0.66 ! [X5: option_val_r_l_v] : ( P3 @ X5 ) )
% 0.29/0.66 = ( ^ [P4: option_val_r_l_v > $o] :
% 0.29/0.66 ( ( P4 @ none_val_r_l_v )
% 0.29/0.66 & ! [X2: val_r_l_v] : ( P4 @ ( some_val_r_l_v @ X2 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % split_option_all
% 0.29/0.66 thf(fact_117_combine__options__cases,axiom,
% 0.29/0.66 ! [X: option1457017436_r_l_v,P: option1457017436_r_l_v > option1457017436_r_l_v > $o,Y: option1457017436_r_l_v] :
% 0.29/0.66 ( ( ( X = none_P277133687_r_l_v )
% 0.29/0.66 => ( P @ X @ Y ) )
% 0.29/0.66 => ( ( ( Y = none_P277133687_r_l_v )
% 0.29/0.66 => ( P @ X @ Y ) )
% 0.29/0.66 => ( ! [A3: produc1156025366_r_l_v,B3: produc1156025366_r_l_v] :
% 0.29/0.66 ( ( X
% 0.29/0.66 = ( some_P1807977723_r_l_v @ A3 ) )
% 0.29/0.66 => ( ( Y
% 0.29/0.66 = ( some_P1807977723_r_l_v @ B3 ) )
% 0.29/0.66 => ( P @ X @ Y ) ) )
% 0.29/0.66 => ( P @ X @ Y ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % combine_options_cases
% 0.29/0.66 thf(fact_118_combine__options__cases,axiom,
% 0.29/0.66 ! [X: option1457017436_r_l_v,P: option1457017436_r_l_v > option_val_r_l_v > $o,Y: option_val_r_l_v] :
% 0.29/0.66 ( ( ( X = none_P277133687_r_l_v )
% 0.29/0.66 => ( P @ X @ Y ) )
% 0.29/0.66 => ( ( ( Y = none_val_r_l_v )
% 0.29/0.66 => ( P @ X @ Y ) )
% 0.29/0.66 => ( ! [A3: produc1156025366_r_l_v,B3: val_r_l_v] :
% 0.29/0.66 ( ( X
% 0.29/0.66 = ( some_P1807977723_r_l_v @ A3 ) )
% 0.29/0.66 => ( ( Y
% 0.29/0.66 = ( some_val_r_l_v @ B3 ) )
% 0.29/0.66 => ( P @ X @ Y ) ) )
% 0.29/0.66 => ( P @ X @ Y ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % combine_options_cases
% 0.29/0.66 thf(fact_119_combine__options__cases,axiom,
% 0.29/0.66 ! [X: option_val_r_l_v,P: option_val_r_l_v > option1457017436_r_l_v > $o,Y: option1457017436_r_l_v] :
% 0.29/0.66 ( ( ( X = none_val_r_l_v )
% 0.29/0.66 => ( P @ X @ Y ) )
% 0.29/0.66 => ( ( ( Y = none_P277133687_r_l_v )
% 0.29/0.66 => ( P @ X @ Y ) )
% 0.29/0.66 => ( ! [A3: val_r_l_v,B3: produc1156025366_r_l_v] :
% 0.29/0.66 ( ( X
% 0.29/0.66 = ( some_val_r_l_v @ A3 ) )
% 0.29/0.66 => ( ( Y
% 0.29/0.66 = ( some_P1807977723_r_l_v @ B3 ) )
% 0.29/0.66 => ( P @ X @ Y ) ) )
% 0.29/0.66 => ( P @ X @ Y ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % combine_options_cases
% 0.29/0.66 thf(fact_120_combine__options__cases,axiom,
% 0.29/0.66 ! [X: option_val_r_l_v,P: option_val_r_l_v > option_val_r_l_v > $o,Y: option_val_r_l_v] :
% 0.29/0.66 ( ( ( X = none_val_r_l_v )
% 0.29/0.66 => ( P @ X @ Y ) )
% 0.29/0.66 => ( ( ( Y = none_val_r_l_v )
% 0.29/0.66 => ( P @ X @ Y ) )
% 0.29/0.66 => ( ! [A3: val_r_l_v,B3: val_r_l_v] :
% 0.29/0.66 ( ( X
% 0.29/0.66 = ( some_val_r_l_v @ A3 ) )
% 0.29/0.66 => ( ( Y
% 0.29/0.66 = ( some_val_r_l_v @ B3 ) )
% 0.29/0.66 => ( P @ X @ Y ) ) )
% 0.29/0.66 => ( P @ X @ Y ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % combine_options_cases
% 0.29/0.66 thf(fact_121_expr_Odistinct_I11_J,axiom,
% 0.29/0.66 ! [X1: val_r_l_v,X7: expr_r_l_v] :
% 0.29/0.66 ( ( vE_r_l_v @ X1 )
% 0.29/0.66 != ( rfork_r_l_v @ X7 ) ) ).
% 0.29/0.66
% 0.29/0.66 % expr.distinct(11)
% 0.29/0.66 thf(fact_122_map__upd__nonempty,axiom,
% 0.29/0.66 ! [T: r > option1457017436_r_l_v,K: r,X: produc1156025366_r_l_v] :
% 0.29/0.66 ( ( fun_up709272714_r_l_v @ T @ K @ ( some_P1807977723_r_l_v @ X ) )
% 0.29/0.66 != ( ^ [X2: r] : none_P277133687_r_l_v ) ) ).
% 0.29/0.66
% 0.29/0.66 % map_upd_nonempty
% 0.29/0.66 thf(fact_123_map__upd__nonempty,axiom,
% 0.29/0.66 ! [T: l > option_val_r_l_v,K: l,X: val_r_l_v] :
% 0.29/0.66 ( ( fun_up1835647912_r_l_v @ T @ K @ ( some_val_r_l_v @ X ) )
% 0.29/0.66 != ( ^ [X2: l] : none_val_r_l_v ) ) ).
% 0.29/0.66
% 0.29/0.66 % map_upd_nonempty
% 0.29/0.66 thf(fact_124_restrictions__inwards,axiom,
% 0.29/0.66 ! [X: r,X6: r,F: r > option1457017436_r_l_v,Y: produc1156025366_r_l_v] :
% 0.29/0.66 ( ( X != X6 )
% 0.29/0.66 => ( ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ F @ X @ ( some_P1807977723_r_l_v @ Y ) ) @ X6 @ none_P277133687_r_l_v )
% 0.29/0.66 = ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ F @ X6 @ none_P277133687_r_l_v ) @ X @ ( some_P1807977723_r_l_v @ Y ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % restrictions_inwards
% 0.29/0.66 thf(fact_125_restrictions__inwards,axiom,
% 0.29/0.66 ! [X: l,X6: l,F: l > option_val_r_l_v,Y: val_r_l_v] :
% 0.29/0.66 ( ( X != X6 )
% 0.29/0.66 => ( ( fun_up1835647912_r_l_v @ ( fun_up1835647912_r_l_v @ F @ X @ ( some_val_r_l_v @ Y ) ) @ X6 @ none_val_r_l_v )
% 0.29/0.66 = ( fun_up1835647912_r_l_v @ ( fun_up1835647912_r_l_v @ F @ X6 @ none_val_r_l_v ) @ X @ ( some_val_r_l_v @ Y ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % restrictions_inwards
% 0.29/0.66 thf(fact_126_RID_092_060_094sub_062GI_I1_J,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v,R: r,V: produc1156025366_r_l_v] :
% 0.29/0.66 ( ( ( S @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ V ) )
% 0.29/0.66 => ( member_r @ R @ ( rID_G_r_l_v @ S ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % RID\<^sub>GI(1)
% 0.29/0.66 thf(fact_127_revision__step__relaxed_Ofork,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,E4: expr_r_l_v,R2: r] :
% 0.29/0.66 ( ( ( S @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rfork_r_l_v @ E4 ) ) ) ) ) )
% 0.29/0.66 => ( ~ ( member_r @ R2 @ ( rID_G_r_l_v @ S ) )
% 0.29/0.66 => ( revisi1291188644_r_l_v @ subst @ R @ S
% 0.29/0.66 @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( rid_r_l_v @ R2 ) ) ) ) ) ) ) @ R2
% 0.29/0.66 @ ( some_P1807977723_r_l_v
% 0.29/0.66 @ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ Sigma2 @ Tau2 )
% 0.29/0.66 @ ( produc1834103605_r_l_v
% 0.29/0.66 @ ^ [X2: l] : none_val_r_l_v
% 0.29/0.66 @ E4 ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % revision_step_relaxed.fork
% 0.29/0.66 thf(fact_128_revision__step_Ofork,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,E4: expr_r_l_v,R2: r] :
% 0.29/0.66 ( ( ( S @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rfork_r_l_v @ E4 ) ) ) ) ) )
% 0.29/0.66 => ( ~ ( member_r @ R2 @ ( rID_G_r_l_v @ S ) )
% 0.29/0.66 => ( revision_step_r_l_v @ subst @ R @ S
% 0.29/0.66 @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( rid_r_l_v @ R2 ) ) ) ) ) ) ) @ R2
% 0.29/0.66 @ ( some_P1807977723_r_l_v
% 0.29/0.66 @ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ Sigma2 @ Tau2 )
% 0.29/0.66 @ ( produc1834103605_r_l_v
% 0.29/0.66 @ ^ [X2: l] : none_val_r_l_v
% 0.29/0.66 @ E4 ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % revision_step.fork
% 0.29/0.66 thf(fact_129__092_060alpha_062r_H__fresh,axiom,
% 0.29/0.66 ~ ( member_r @ ( alpha @ r3 ) @ ( rID_G_r_l_v @ ( r_G_r_l_v @ alpha @ beta @ s ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % \<alpha>r'_fresh
% 0.29/0.66 thf(fact_130_substitution_Orevision__step__relaxed_Ofork,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,E4: expr_r_l_v,R2: r] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( ( S @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rfork_r_l_v @ E4 ) ) ) ) ) )
% 0.29/0.66 => ( ~ ( member_r @ R2 @ ( rID_G_r_l_v @ S ) )
% 0.29/0.66 => ( revisi1291188644_r_l_v @ Subst @ R @ S
% 0.29/0.66 @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( rid_r_l_v @ R2 ) ) ) ) ) ) ) @ R2
% 0.29/0.66 @ ( some_P1807977723_r_l_v
% 0.29/0.66 @ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ Sigma2 @ Tau2 )
% 0.29/0.66 @ ( produc1834103605_r_l_v
% 0.29/0.66 @ ^ [X2: l] : none_val_r_l_v
% 0.29/0.66 @ E4 ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.revision_step_relaxed.fork
% 0.29/0.66 thf(fact_131_substitution_Ofork__pseudodeterministic,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,E4: expr_r_l_v,S2: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( ( S @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rfork_r_l_v @ E4 ) ) ) ) ) )
% 0.29/0.66 => ( ( revision_step_r_l_v @ Subst @ R @ S @ S2 )
% 0.29/0.66 = ( ? [R3: r] :
% 0.29/0.66 ( ~ ( member_r @ R3 @ ( rID_G_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rfork_r_l_v @ E4 ) ) ) ) ) ) ) )
% 0.29/0.66 & ( S2
% 0.29/0.66 = ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( rid_r_l_v @ R3 ) ) ) ) ) ) ) @ R3
% 0.29/0.66 @ ( some_P1807977723_r_l_v
% 0.29/0.66 @ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ Sigma2 @ Tau2 )
% 0.29/0.66 @ ( produc1834103605_r_l_v
% 0.29/0.66 @ ^ [X2: l] : none_val_r_l_v
% 0.29/0.66 @ E4 ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.fork_pseudodeterministic
% 0.29/0.66 thf(fact_132_local_Ostep,axiom,
% 0.29/0.66 revision_step_r_l_v @ subst @ r2 @ s @ s2 ).
% 0.29/0.66
% 0.29/0.66 % local.step
% 0.29/0.66 thf(fact_133_substitution__axioms,axiom,
% 0.29/0.66 substitution_r_l_v @ subst ).
% 0.29/0.66
% 0.29/0.66 % substitution_axioms
% 0.29/0.66 thf(fact_134_rename__empty_I2_J,axiom,
% 0.29/0.66 ! [Alpha2: r > r,Beta2: l > l] :
% 0.29/0.66 ( ( r_G_r_l_v @ Alpha2 @ Beta2
% 0.29/0.66 @ ^ [X2: r] : none_P277133687_r_l_v )
% 0.29/0.66 = ( ^ [X2: r] : none_P277133687_r_l_v ) ) ).
% 0.29/0.66
% 0.29/0.66 % rename_empty(2)
% 0.29/0.66 thf(fact_135_in__restricted__global__in__unrestricted__global_I1_J,axiom,
% 0.29/0.66 ! [R2: r,S: r > option1457017436_r_l_v,R: r] :
% 0.29/0.66 ( ( member_r @ R2 @ ( rID_G_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ none_P277133687_r_l_v ) ) )
% 0.29/0.66 => ( member_r @ R2 @ ( rID_G_r_l_v @ S ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % in_restricted_global_in_unrestricted_global(1)
% 0.29/0.66 thf(fact_136_only__fork__introduces__rids_H,axiom,
% 0.29/0.66 ! [R: r,S: r > option1457017436_r_l_v,S2: r > option1457017436_r_l_v,R2: r] :
% 0.29/0.66 ( ( revision_step_r_l_v @ subst @ R @ S @ S2 )
% 0.29/0.66 => ( ! [Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v,E5: cntxt_r_l_v,E3: expr_r_l_v] :
% 0.29/0.66 ( ( S @ R )
% 0.29/0.66 != ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ ( plug_r_l_v @ E5 @ ( rfork_r_l_v @ E3 ) ) ) ) ) )
% 0.29/0.66 => ( ~ ( member_r @ R2 @ ( rID_G_r_l_v @ S ) )
% 0.29/0.66 => ~ ( member_r @ R2 @ ( rID_G_r_l_v @ S2 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % only_fork_introduces_rids'
% 0.29/0.66 thf(fact_137_in__restricted__global__in__updated__global_I1_J,axiom,
% 0.29/0.66 ! [R2: r,S: r > option1457017436_r_l_v,R: r,Ls: produc1156025366_r_l_v] :
% 0.29/0.66 ( ( member_r @ R2 @ ( rID_G_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ none_P277133687_r_l_v ) ) )
% 0.29/0.66 => ( member_r @ R2 @ ( rID_G_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ ( some_P1807977723_r_l_v @ Ls ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % in_restricted_global_in_updated_global(1)
% 0.29/0.66 thf(fact_138_fork__pseudodeterministic,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,E4: expr_r_l_v,S2: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( ( S @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rfork_r_l_v @ E4 ) ) ) ) ) )
% 0.29/0.66 => ( ( revision_step_r_l_v @ subst @ R @ S @ S2 )
% 0.29/0.66 = ( ? [R3: r] :
% 0.29/0.66 ( ~ ( member_r @ R3 @ ( rID_G_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rfork_r_l_v @ E4 ) ) ) ) ) ) ) )
% 0.29/0.66 & ( S2
% 0.29/0.66 = ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( rid_r_l_v @ R3 ) ) ) ) ) ) ) @ R3
% 0.29/0.66 @ ( some_P1807977723_r_l_v
% 0.29/0.66 @ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ Sigma2 @ Tau2 )
% 0.29/0.66 @ ( produc1834103605_r_l_v
% 0.29/0.66 @ ^ [X2: l] : none_val_r_l_v
% 0.29/0.66 @ E4 ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % fork_pseudodeterministic
% 0.29/0.66 thf(fact_139_substitution_Orevision__step_Ocong,axiom,
% 0.29/0.66 revision_step_r_l_v = revision_step_r_l_v ).
% 0.29/0.66
% 0.29/0.66 % substitution.revision_step.cong
% 0.29/0.66 thf(fact_140_substitution_Orevision__step__relaxed_Ocong,axiom,
% 0.29/0.66 revisi1291188644_r_l_v = revisi1291188644_r_l_v ).
% 0.29/0.66
% 0.29/0.66 % substitution.revision_step_relaxed.cong
% 0.29/0.66 thf(fact_141_substitution_Oonly__fork__introduces__rids_H,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,R: r,S: r > option1457017436_r_l_v,S2: r > option1457017436_r_l_v,R2: r] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( revision_step_r_l_v @ Subst @ R @ S @ S2 )
% 0.29/0.66 => ( ! [Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v,E5: cntxt_r_l_v,E3: expr_r_l_v] :
% 0.29/0.66 ( ( S @ R )
% 0.29/0.66 != ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ ( plug_r_l_v @ E5 @ ( rfork_r_l_v @ E3 ) ) ) ) ) )
% 0.29/0.66 => ( ~ ( member_r @ R2 @ ( rID_G_r_l_v @ S ) )
% 0.29/0.66 => ~ ( member_r @ R2 @ ( rID_G_r_l_v @ S2 ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.only_fork_introduces_rids'
% 0.29/0.66 thf(fact_142_substitution_Orevision__step_Ofork,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,E4: expr_r_l_v,R2: r] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( ( S @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rfork_r_l_v @ E4 ) ) ) ) ) )
% 0.29/0.66 => ( ~ ( member_r @ R2 @ ( rID_G_r_l_v @ S ) )
% 0.29/0.66 => ( revision_step_r_l_v @ Subst @ R @ S
% 0.29/0.66 @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( rid_r_l_v @ R2 ) ) ) ) ) ) ) @ R2
% 0.29/0.66 @ ( some_P1807977723_r_l_v
% 0.29/0.66 @ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ Sigma2 @ Tau2 )
% 0.29/0.66 @ ( produc1834103605_r_l_v
% 0.29/0.66 @ ^ [X2: l] : none_val_r_l_v
% 0.29/0.66 @ E4 ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.revision_step.fork
% 0.29/0.66 thf(fact_143_local__and__fork__commute,axiom,
% 0.29/0.66 ! [S_2: r > option1457017436_r_l_v,S_1: r > option1457017436_r_l_v,R: r,X: produc1156025366_r_l_v,S_22: r > option1457017436_r_l_v,R2: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,R4: r,E4: expr_r_l_v] :
% 0.29/0.66 ( ( S_2
% 0.29/0.66 = ( fun_up709272714_r_l_v @ S_1 @ R @ ( some_P1807977723_r_l_v @ X ) ) )
% 0.29/0.66 => ( ( S_22
% 0.29/0.66 = ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S_1 @ R2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( rid_r_l_v @ R4 ) ) ) ) ) ) ) @ R4
% 0.29/0.66 @ ( some_P1807977723_r_l_v
% 0.29/0.66 @ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ Sigma2 @ Tau2 )
% 0.29/0.66 @ ( produc1834103605_r_l_v
% 0.29/0.66 @ ^ [X2: l] : none_val_r_l_v
% 0.29/0.66 @ E4 ) ) ) ) )
% 0.29/0.66 => ( ( ( S_2 @ R2 )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rfork_r_l_v @ E4 ) ) ) ) ) )
% 0.29/0.66 => ( ~ ( member_r @ R4 @ ( rID_G_r_l_v @ S_2 ) )
% 0.29/0.66 => ( ( revision_step_r_l_v @ subst @ R @ S_22
% 0.29/0.66 @ ( fun_up709272714_r_l_v
% 0.29/0.66 @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S_1 @ R2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( rid_r_l_v @ R4 ) ) ) ) ) ) ) @ R4
% 0.29/0.66 @ ( some_P1807977723_r_l_v
% 0.29/0.66 @ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ Sigma2 @ Tau2 )
% 0.29/0.66 @ ( produc1834103605_r_l_v
% 0.29/0.66 @ ^ [X2: l] : none_val_r_l_v
% 0.29/0.66 @ E4 ) ) ) )
% 0.29/0.66 @ R
% 0.29/0.66 @ ( some_P1807977723_r_l_v @ X ) ) )
% 0.29/0.66 => ( ( R != R2 )
% 0.29/0.66 => ( ( R != R4 )
% 0.29/0.66 => ? [S_3: r > option1457017436_r_l_v,S_32: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( eq_states_r_l_v @ S_3 @ S_32 )
% 0.29/0.66 & ( ( revision_step_r_l_v @ subst @ R2 @ S_2 @ S_3 )
% 0.29/0.66 | ( S_2 = S_3 ) )
% 0.29/0.66 & ( ( revision_step_r_l_v @ subst @ R @ S_22 @ S_32 )
% 0.29/0.66 | ( S_22 = S_32 ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % local_and_fork_commute
% 0.29/0.66 thf(fact_144_revision__step__relaxed_Ojoin_092_060_094sub_062_092_060epsilon_062,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,R2: r] :
% 0.29/0.66 ( ( ( S @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rjoin_r_l_v @ ( vE_r_l_v @ ( rid_r_l_v @ R2 ) ) ) ) ) ) ) )
% 0.29/0.66 => ( ( ( S @ R2 )
% 0.29/0.66 = none_P277133687_r_l_v )
% 0.29/0.66 => ( revisi1291188644_r_l_v @ subst @ R @ S
% 0.29/0.66 @ ^ [X2: r] : none_P277133687_r_l_v ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % revision_step_relaxed.join\<^sub>\<epsilon>
% 0.29/0.66 thf(fact_145_revision__step_Ojoin_092_060_094sub_062_092_060epsilon_062,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,R2: r] :
% 0.29/0.66 ( ( ( S @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rjoin_r_l_v @ ( vE_r_l_v @ ( rid_r_l_v @ R2 ) ) ) ) ) ) ) )
% 0.29/0.66 => ( ( ( S @ R2 )
% 0.29/0.66 = none_P277133687_r_l_v )
% 0.29/0.66 => ( revision_step_r_l_v @ subst @ R @ S
% 0.29/0.66 @ ^ [X2: r] : none_P277133687_r_l_v ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % revision_step.join\<^sub>\<epsilon>
% 0.29/0.66 thf(fact_146_substitution_Olocal__and__fork__commute,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S_2: r > option1457017436_r_l_v,S_1: r > option1457017436_r_l_v,R: r,X: produc1156025366_r_l_v,S_22: r > option1457017436_r_l_v,R2: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,R4: r,E4: expr_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( S_2
% 0.29/0.66 = ( fun_up709272714_r_l_v @ S_1 @ R @ ( some_P1807977723_r_l_v @ X ) ) )
% 0.29/0.66 => ( ( S_22
% 0.29/0.66 = ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S_1 @ R2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( rid_r_l_v @ R4 ) ) ) ) ) ) ) @ R4
% 0.29/0.66 @ ( some_P1807977723_r_l_v
% 0.29/0.66 @ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ Sigma2 @ Tau2 )
% 0.29/0.66 @ ( produc1834103605_r_l_v
% 0.29/0.66 @ ^ [X2: l] : none_val_r_l_v
% 0.29/0.66 @ E4 ) ) ) ) )
% 0.29/0.66 => ( ( ( S_2 @ R2 )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rfork_r_l_v @ E4 ) ) ) ) ) )
% 0.29/0.66 => ( ~ ( member_r @ R4 @ ( rID_G_r_l_v @ S_2 ) )
% 0.29/0.66 => ( ( revision_step_r_l_v @ Subst @ R @ S_22
% 0.29/0.66 @ ( fun_up709272714_r_l_v
% 0.29/0.66 @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S_1 @ R2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( rid_r_l_v @ R4 ) ) ) ) ) ) ) @ R4
% 0.29/0.66 @ ( some_P1807977723_r_l_v
% 0.29/0.66 @ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ Sigma2 @ Tau2 )
% 0.29/0.66 @ ( produc1834103605_r_l_v
% 0.29/0.66 @ ^ [X2: l] : none_val_r_l_v
% 0.29/0.66 @ E4 ) ) ) )
% 0.29/0.66 @ R
% 0.29/0.66 @ ( some_P1807977723_r_l_v @ X ) ) )
% 0.29/0.66 => ( ( R != R2 )
% 0.29/0.66 => ( ( R != R4 )
% 0.29/0.66 => ? [S_3: r > option1457017436_r_l_v,S_32: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( eq_states_r_l_v @ S_3 @ S_32 )
% 0.29/0.66 & ( ( revision_step_r_l_v @ Subst @ R2 @ S_2 @ S_3 )
% 0.29/0.66 | ( S_2 = S_3 ) )
% 0.29/0.66 & ( ( revision_step_r_l_v @ Subst @ R @ S_22 @ S_32 )
% 0.29/0.66 | ( S_22 = S_32 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.local_and_fork_commute
% 0.29/0.66 thf(fact_147_local__steps__commute,axiom,
% 0.29/0.66 ! [S_2: r > option1457017436_r_l_v,S_1: r > option1457017436_r_l_v,R: r,X: produc1156025366_r_l_v,S_22: r > option1457017436_r_l_v,R2: r,Y: produc1156025366_r_l_v] :
% 0.29/0.66 ( ( S_2
% 0.29/0.66 = ( fun_up709272714_r_l_v @ S_1 @ R @ ( some_P1807977723_r_l_v @ X ) ) )
% 0.29/0.66 => ( ( S_22
% 0.29/0.66 = ( fun_up709272714_r_l_v @ S_1 @ R2 @ ( some_P1807977723_r_l_v @ Y ) ) )
% 0.29/0.66 => ( ( revision_step_r_l_v @ subst @ R2 @ ( fun_up709272714_r_l_v @ S_1 @ R @ ( some_P1807977723_r_l_v @ X ) ) @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S_1 @ R @ ( some_P1807977723_r_l_v @ X ) ) @ R2 @ ( some_P1807977723_r_l_v @ Y ) ) )
% 0.29/0.66 => ( ( revision_step_r_l_v @ subst @ R @ ( fun_up709272714_r_l_v @ S_1 @ R2 @ ( some_P1807977723_r_l_v @ Y ) ) @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S_1 @ R2 @ ( some_P1807977723_r_l_v @ Y ) ) @ R @ ( some_P1807977723_r_l_v @ X ) ) )
% 0.29/0.66 => ? [S_3: r > option1457017436_r_l_v,S_32: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( eq_states_r_l_v @ S_3 @ S_32 )
% 0.29/0.66 & ( ( revision_step_r_l_v @ subst @ R2 @ S_2 @ S_3 )
% 0.29/0.66 | ( S_2 = S_3 ) )
% 0.29/0.66 & ( ( revision_step_r_l_v @ subst @ R @ S_22 @ S_32 )
% 0.29/0.66 | ( S_22 = S_32 ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % local_steps_commute
% 0.29/0.66 thf(fact_148_transition__relations__equivalent,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v,R: r,S2: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( reachable_r_l_v @ subst @ S )
% 0.29/0.66 => ( ( revision_step_r_l_v @ subst @ R @ S @ S2 )
% 0.29/0.66 = ( revisi1291188644_r_l_v @ subst @ R @ S @ S2 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % transition_relations_equivalent
% 0.29/0.66 thf(fact_149_local__determinism,axiom,
% 0.29/0.66 ! [R: r,S_1: r > option1457017436_r_l_v,S_2: r > option1457017436_r_l_v,S_22: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( revision_step_r_l_v @ subst @ R @ S_1 @ S_2 )
% 0.29/0.66 => ( ( revision_step_r_l_v @ subst @ R @ S_1 @ S_22 )
% 0.29/0.66 => ( eq_states_r_l_v @ S_2 @ S_22 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % local_determinism
% 0.29/0.66 thf(fact_150_SLC__sym,axiom,
% 0.29/0.66 ! [R2: r,S_2: r > option1457017436_r_l_v,R: r,S_22: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ? [S_33: r > option1457017436_r_l_v,S_34: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( eq_states_r_l_v @ S_33 @ S_34 )
% 0.29/0.66 & ( ( revision_step_r_l_v @ subst @ R2 @ S_2 @ S_33 )
% 0.29/0.66 | ( S_2 = S_33 ) )
% 0.29/0.66 & ( ( revision_step_r_l_v @ subst @ R @ S_22 @ S_34 )
% 0.29/0.66 | ( S_22 = S_34 ) ) )
% 0.29/0.66 => ? [S_3: r > option1457017436_r_l_v,S_32: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( eq_states_r_l_v @ S_3 @ S_32 )
% 0.29/0.66 & ( ( revision_step_r_l_v @ subst @ R @ S_22 @ S_3 )
% 0.29/0.66 | ( S_22 = S_3 ) )
% 0.29/0.66 & ( ( revision_step_r_l_v @ subst @ R2 @ S_2 @ S_32 )
% 0.29/0.66 | ( S_2 = S_32 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % SLC_sym
% 0.29/0.66 thf(fact_151_SLC__commute,axiom,
% 0.29/0.66 ! [S_35: r > option1457017436_r_l_v,S_36: r > option1457017436_r_l_v,R2: r,S_2: r > option1457017436_r_l_v,R: r,S_22: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( S_35 = S_36 )
% 0.29/0.66 => ( ( revision_step_r_l_v @ subst @ R2 @ S_2 @ S_35 )
% 0.29/0.66 => ( ( revision_step_r_l_v @ subst @ R @ S_22 @ S_36 )
% 0.29/0.66 => ( ( eq_states_r_l_v @ S_35 @ S_36 )
% 0.29/0.66 & ( ( revision_step_r_l_v @ subst @ R2 @ S_2 @ S_35 )
% 0.29/0.66 | ( S_2 = S_35 ) )
% 0.29/0.66 & ( ( revision_step_r_l_v @ subst @ R @ S_22 @ S_36 )
% 0.29/0.66 | ( S_22 = S_36 ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % SLC_commute
% 0.29/0.66 thf(fact_152_reachability__closed__under__execution__step,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v,R: r,S2: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( reachable_r_l_v @ subst @ S )
% 0.29/0.66 => ( ( revision_step_r_l_v @ subst @ R @ S @ S2 )
% 0.29/0.66 => ( reachable_r_l_v @ subst @ S2 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % reachability_closed_under_execution_step
% 0.29/0.66 thf(fact_153_expr_Oinject_I8_J,axiom,
% 0.29/0.66 ! [X8: expr_r_l_v,Y8: expr_r_l_v] :
% 0.29/0.66 ( ( ( rjoin_r_l_v @ X8 )
% 0.29/0.66 = ( rjoin_r_l_v @ Y8 ) )
% 0.29/0.66 = ( X8 = Y8 ) ) ).
% 0.29/0.66
% 0.29/0.66 % expr.inject(8)
% 0.29/0.66 thf(fact_154_SLC__join_092_060_094sub_062_092_060epsilon_062,axiom,
% 0.29/0.66 ! [S_1: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,R4: r,S_2: r > option1457017436_r_l_v,R2: r,S_22: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( ( S_1 @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rjoin_r_l_v @ ( vE_r_l_v @ ( rid_r_l_v @ R4 ) ) ) ) ) ) ) )
% 0.29/0.66 => ( ( S_2
% 0.29/0.66 = ( ^ [X2: r] : none_P277133687_r_l_v ) )
% 0.29/0.66 => ( ( ( S_1 @ R4 )
% 0.29/0.66 = none_P277133687_r_l_v )
% 0.29/0.66 => ( ( revision_step_r_l_v @ subst @ R2 @ S_1 @ S_22 )
% 0.29/0.66 => ( ( R != R2 )
% 0.29/0.66 => ? [S_3: r > option1457017436_r_l_v,S_32: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( eq_states_r_l_v @ S_3 @ S_32 )
% 0.29/0.66 & ( ( revision_step_r_l_v @ subst @ R2 @ S_2 @ S_3 )
% 0.29/0.66 | ( S_2 = S_3 ) )
% 0.29/0.66 & ( ( revision_step_r_l_v @ subst @ R @ S_22 @ S_32 )
% 0.29/0.66 | ( S_22 = S_32 ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % SLC_join\<^sub>\<epsilon>
% 0.29/0.66 thf(fact_155_reachable__def,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( reachable_r_l_v @ subst @ S )
% 0.29/0.66 = ( ? [E6: expr_r_l_v,S3: r > option1457017436_r_l_v] : ( execution_r_l_v @ subst @ E6 @ S3 @ S ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % reachable_def
% 0.29/0.66 thf(fact_156_rjoin_092_060_094sub_062_092_060epsilon_062__deterministic,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,R2: r,S2: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( ( S @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rjoin_r_l_v @ ( vE_r_l_v @ ( rid_r_l_v @ R2 ) ) ) ) ) ) ) )
% 0.29/0.66 => ( ( ( S @ R2 )
% 0.29/0.66 = none_P277133687_r_l_v )
% 0.29/0.66 => ( ( revision_step_r_l_v @ subst @ R @ S @ S2 )
% 0.29/0.66 = ( S2
% 0.29/0.66 = ( ^ [X2: r] : none_P277133687_r_l_v ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % rjoin\<^sub>\<epsilon>_deterministic
% 0.29/0.66 thf(fact_157__092_060alpha_062_092_060beta_062__sym,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v,S2: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( eq_states_r_l_v @ S @ S2 )
% 0.29/0.66 => ( eq_states_r_l_v @ S2 @ S ) ) ).
% 0.29/0.66
% 0.29/0.66 % \<alpha>\<beta>_sym
% 0.29/0.66 thf(fact_158__092_060alpha_062_092_060beta_062__refl,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v] : ( eq_states_r_l_v @ S @ S ) ).
% 0.29/0.66
% 0.29/0.66 % \<alpha>\<beta>_refl
% 0.29/0.66 thf(fact_159__092_060alpha_062_092_060beta_062__trans,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v,S2: r > option1457017436_r_l_v,S4: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( eq_states_r_l_v @ S @ S2 )
% 0.29/0.66 => ( ( eq_states_r_l_v @ S2 @ S4 )
% 0.29/0.66 => ( eq_states_r_l_v @ S @ S4 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % \<alpha>\<beta>_trans
% 0.29/0.66 thf(fact_160_expr_Odistinct_I13_J,axiom,
% 0.29/0.66 ! [X1: val_r_l_v,X8: expr_r_l_v] :
% 0.29/0.66 ( ( vE_r_l_v @ X1 )
% 0.29/0.66 != ( rjoin_r_l_v @ X8 ) ) ).
% 0.29/0.66
% 0.29/0.66 % expr.distinct(13)
% 0.29/0.66 thf(fact_161_expr_Odistinct_I55_J,axiom,
% 0.29/0.66 ! [X7: expr_r_l_v,X8: expr_r_l_v] :
% 0.29/0.66 ( ( rfork_r_l_v @ X7 )
% 0.29/0.66 != ( rjoin_r_l_v @ X8 ) ) ).
% 0.29/0.66
% 0.29/0.66 % expr.distinct(55)
% 0.29/0.66 thf(fact_162_substitution_Olocal__determinism,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,R: r,S_1: r > option1457017436_r_l_v,S_2: r > option1457017436_r_l_v,S_22: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( revision_step_r_l_v @ Subst @ R @ S_1 @ S_2 )
% 0.29/0.66 => ( ( revision_step_r_l_v @ Subst @ R @ S_1 @ S_22 )
% 0.29/0.66 => ( eq_states_r_l_v @ S_2 @ S_22 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.local_determinism
% 0.29/0.66 thf(fact_163_substitution_OSLC__commute,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S_35: r > option1457017436_r_l_v,S_36: r > option1457017436_r_l_v,R2: r,S_2: r > option1457017436_r_l_v,R: r,S_22: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( S_35 = S_36 )
% 0.29/0.66 => ( ( revision_step_r_l_v @ Subst @ R2 @ S_2 @ S_35 )
% 0.29/0.66 => ( ( revision_step_r_l_v @ Subst @ R @ S_22 @ S_36 )
% 0.29/0.66 => ( ( eq_states_r_l_v @ S_35 @ S_36 )
% 0.29/0.66 & ( ( revision_step_r_l_v @ Subst @ R2 @ S_2 @ S_35 )
% 0.29/0.66 | ( S_2 = S_35 ) )
% 0.29/0.66 & ( ( revision_step_r_l_v @ Subst @ R @ S_22 @ S_36 )
% 0.29/0.66 | ( S_22 = S_36 ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.SLC_commute
% 0.29/0.66 thf(fact_164_substitution_OSLC__sym,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,R2: r,S_2: r > option1457017436_r_l_v,R: r,S_22: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ? [S_33: r > option1457017436_r_l_v,S_34: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( eq_states_r_l_v @ S_33 @ S_34 )
% 0.29/0.66 & ( ( revision_step_r_l_v @ Subst @ R2 @ S_2 @ S_33 )
% 0.29/0.66 | ( S_2 = S_33 ) )
% 0.29/0.66 & ( ( revision_step_r_l_v @ Subst @ R @ S_22 @ S_34 )
% 0.29/0.66 | ( S_22 = S_34 ) ) )
% 0.29/0.66 => ? [S_3: r > option1457017436_r_l_v,S_32: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( eq_states_r_l_v @ S_3 @ S_32 )
% 0.29/0.66 & ( ( revision_step_r_l_v @ Subst @ R @ S_22 @ S_3 )
% 0.29/0.66 | ( S_22 = S_3 ) )
% 0.29/0.66 & ( ( revision_step_r_l_v @ Subst @ R2 @ S_2 @ S_32 )
% 0.29/0.66 | ( S_2 = S_32 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.SLC_sym
% 0.29/0.66 thf(fact_165_substitution_OSLC__join_092_060_094sub_062_092_060epsilon_062,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S_1: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,R4: r,S_2: r > option1457017436_r_l_v,R2: r,S_22: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( ( S_1 @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rjoin_r_l_v @ ( vE_r_l_v @ ( rid_r_l_v @ R4 ) ) ) ) ) ) ) )
% 0.29/0.66 => ( ( S_2
% 0.29/0.66 = ( ^ [X2: r] : none_P277133687_r_l_v ) )
% 0.29/0.66 => ( ( ( S_1 @ R4 )
% 0.29/0.66 = none_P277133687_r_l_v )
% 0.29/0.66 => ( ( revision_step_r_l_v @ Subst @ R2 @ S_1 @ S_22 )
% 0.29/0.66 => ( ( R != R2 )
% 0.29/0.66 => ? [S_3: r > option1457017436_r_l_v,S_32: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( eq_states_r_l_v @ S_3 @ S_32 )
% 0.29/0.66 & ( ( revision_step_r_l_v @ Subst @ R2 @ S_2 @ S_3 )
% 0.29/0.66 | ( S_2 = S_3 ) )
% 0.29/0.66 & ( ( revision_step_r_l_v @ Subst @ R @ S_22 @ S_32 )
% 0.29/0.66 | ( S_22 = S_32 ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.SLC_join\<^sub>\<epsilon>
% 0.29/0.66 thf(fact_166_substitution_Olocal__steps__commute,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S_2: r > option1457017436_r_l_v,S_1: r > option1457017436_r_l_v,R: r,X: produc1156025366_r_l_v,S_22: r > option1457017436_r_l_v,R2: r,Y: produc1156025366_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( S_2
% 0.29/0.66 = ( fun_up709272714_r_l_v @ S_1 @ R @ ( some_P1807977723_r_l_v @ X ) ) )
% 0.29/0.66 => ( ( S_22
% 0.29/0.66 = ( fun_up709272714_r_l_v @ S_1 @ R2 @ ( some_P1807977723_r_l_v @ Y ) ) )
% 0.29/0.66 => ( ( revision_step_r_l_v @ Subst @ R2 @ ( fun_up709272714_r_l_v @ S_1 @ R @ ( some_P1807977723_r_l_v @ X ) ) @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S_1 @ R @ ( some_P1807977723_r_l_v @ X ) ) @ R2 @ ( some_P1807977723_r_l_v @ Y ) ) )
% 0.29/0.66 => ( ( revision_step_r_l_v @ Subst @ R @ ( fun_up709272714_r_l_v @ S_1 @ R2 @ ( some_P1807977723_r_l_v @ Y ) ) @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S_1 @ R2 @ ( some_P1807977723_r_l_v @ Y ) ) @ R @ ( some_P1807977723_r_l_v @ X ) ) )
% 0.29/0.66 => ? [S_3: r > option1457017436_r_l_v,S_32: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( eq_states_r_l_v @ S_3 @ S_32 )
% 0.29/0.66 & ( ( revision_step_r_l_v @ Subst @ R2 @ S_2 @ S_3 )
% 0.29/0.66 | ( S_2 = S_3 ) )
% 0.29/0.66 & ( ( revision_step_r_l_v @ Subst @ R @ S_22 @ S_32 )
% 0.29/0.66 | ( S_22 = S_32 ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.local_steps_commute
% 0.29/0.66 thf(fact_167_substitution_Orjoin_092_060_094sub_062_092_060epsilon_062__deterministic,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,R2: r,S2: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( ( S @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rjoin_r_l_v @ ( vE_r_l_v @ ( rid_r_l_v @ R2 ) ) ) ) ) ) ) )
% 0.29/0.66 => ( ( ( S @ R2 )
% 0.29/0.66 = none_P277133687_r_l_v )
% 0.29/0.66 => ( ( revision_step_r_l_v @ Subst @ R @ S @ S2 )
% 0.29/0.66 = ( S2
% 0.29/0.66 = ( ^ [X2: r] : none_P277133687_r_l_v ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.rjoin\<^sub>\<epsilon>_deterministic
% 0.29/0.66 thf(fact_168_substitution_Orevision__step_Ojoin_092_060_094sub_062_092_060epsilon_062,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,R2: r] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( ( S @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rjoin_r_l_v @ ( vE_r_l_v @ ( rid_r_l_v @ R2 ) ) ) ) ) ) ) )
% 0.29/0.66 => ( ( ( S @ R2 )
% 0.29/0.66 = none_P277133687_r_l_v )
% 0.29/0.66 => ( revision_step_r_l_v @ Subst @ R @ S
% 0.29/0.66 @ ^ [X2: r] : none_P277133687_r_l_v ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.revision_step.join\<^sub>\<epsilon>
% 0.29/0.66 thf(fact_169_substitution_Orevision__step__relaxed_Ojoin_092_060_094sub_062_092_060epsilon_062,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,R2: r] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( ( S @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rjoin_r_l_v @ ( vE_r_l_v @ ( rid_r_l_v @ R2 ) ) ) ) ) ) ) )
% 0.29/0.66 => ( ( ( S @ R2 )
% 0.29/0.66 = none_P277133687_r_l_v )
% 0.29/0.66 => ( revisi1291188644_r_l_v @ Subst @ R @ S
% 0.29/0.66 @ ^ [X2: r] : none_P277133687_r_l_v ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.revision_step_relaxed.join\<^sub>\<epsilon>
% 0.29/0.66 thf(fact_170_inductive__invariant__is__execution__invariant,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v,P: ( r > option1457017436_r_l_v ) > $o] :
% 0.29/0.66 ( ( reachable_r_l_v @ subst @ S )
% 0.29/0.66 => ( ( induct1670415253_r_l_v @ subst @ P )
% 0.29/0.66 => ( P @ S ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % inductive_invariant_is_execution_invariant
% 0.29/0.66 thf(fact_171_reachable__imp___092_060S_062_092_060_094sub_062G,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( reachable_r_l_v @ subst @ S )
% 0.29/0.66 => ( domain1547879849_r_l_v @ S ) ) ).
% 0.29/0.66
% 0.29/0.66 % reachable_imp_\<S>\<^sub>G
% 0.29/0.66 thf(fact_172_substitution_Otransition__relations__equivalent,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v,R: r,S2: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( reachable_r_l_v @ Subst @ S )
% 0.29/0.66 => ( ( revision_step_r_l_v @ Subst @ R @ S @ S2 )
% 0.29/0.66 = ( revisi1291188644_r_l_v @ Subst @ R @ S @ S2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.transition_relations_equivalent
% 0.29/0.66 thf(fact_173_SLC__fork,axiom,
% 0.29/0.66 ! [S_1: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,E4: expr_r_l_v,S_2: r > option1457017436_r_l_v,Left_forkee: r,R2: r,S_22: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( ( S_1 @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rfork_r_l_v @ E4 ) ) ) ) ) )
% 0.29/0.66 => ( ( S_2
% 0.29/0.66 = ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S_1 @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( rid_r_l_v @ Left_forkee ) ) ) ) ) ) ) @ Left_forkee
% 0.29/0.66 @ ( some_P1807977723_r_l_v
% 0.29/0.66 @ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ Sigma2 @ Tau2 )
% 0.29/0.66 @ ( produc1834103605_r_l_v
% 0.29/0.66 @ ^ [X2: l] : none_val_r_l_v
% 0.29/0.66 @ E4 ) ) ) ) )
% 0.29/0.66 => ( ~ ( member_r @ Left_forkee @ ( rID_G_r_l_v @ S_1 ) )
% 0.29/0.66 => ( ( revision_step_r_l_v @ subst @ R2 @ S_1 @ S_22 )
% 0.29/0.66 => ( ( R != R2 )
% 0.29/0.66 => ( ( reachable_r_l_v @ subst @ S_1 )
% 0.29/0.66 => ( ~ ( finite_finite_r @ top_top_set_r )
% 0.29/0.66 => ? [S_3: r > option1457017436_r_l_v,S_32: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( eq_states_r_l_v @ S_3 @ S_32 )
% 0.29/0.66 & ( ( revision_step_r_l_v @ subst @ R2 @ S_2 @ S_3 )
% 0.29/0.66 | ( S_2 = S_3 ) )
% 0.29/0.66 & ( ( revision_step_r_l_v @ subst @ R @ S_22 @ S_32 )
% 0.29/0.66 | ( S_22 = S_32 ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % SLC_fork
% 0.29/0.66 thf(fact_174_join__and__local__commute,axiom,
% 0.29/0.66 ! [S_2: r > option1457017436_r_l_v,S_1: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,Tau3: l > option_val_r_l_v,E: cntxt_r_l_v,R4: r,S_22: r > option1457017436_r_l_v,R2: r,Ls: produc1156025366_r_l_v,Sigma3: l > option_val_r_l_v,V: val_r_l_v] :
% 0.29/0.66 ( ( S_2
% 0.29/0.66 = ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S_1 @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ ( combine_l_val_r_l_v @ Tau2 @ Tau3 ) @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( cV_r_l_v @ unit ) ) ) ) ) ) ) @ R4 @ none_P277133687_r_l_v ) )
% 0.29/0.66 => ( ( S_22
% 0.29/0.66 = ( fun_up709272714_r_l_v @ S_1 @ R2 @ ( some_P1807977723_r_l_v @ Ls ) ) )
% 0.29/0.66 => ( ( R != R2 )
% 0.29/0.66 => ( ( R2 != R4 )
% 0.29/0.66 => ( ( revision_step_r_l_v @ subst @ R2 @ S_2 @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S_1 @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ ( combine_l_val_r_l_v @ Tau2 @ Tau3 ) @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( cV_r_l_v @ unit ) ) ) ) ) ) ) @ R4 @ none_P277133687_r_l_v ) @ R2 @ ( some_P1807977723_r_l_v @ Ls ) ) )
% 0.29/0.66 => ( ( ( S_22 @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rjoin_r_l_v @ ( vE_r_l_v @ ( rid_r_l_v @ R4 ) ) ) ) ) ) ) )
% 0.29/0.66 => ( ( ( S_22 @ R4 )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma3 @ ( produc1834103605_r_l_v @ Tau3 @ ( vE_r_l_v @ V ) ) ) ) )
% 0.29/0.66 => ? [S_3: r > option1457017436_r_l_v,S_32: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( eq_states_r_l_v @ S_3 @ S_32 )
% 0.29/0.66 & ( ( revision_step_r_l_v @ subst @ R2 @ S_2 @ S_3 )
% 0.29/0.66 | ( S_2 = S_3 ) )
% 0.29/0.66 & ( ( revision_step_r_l_v @ subst @ R @ S_22 @ S_32 )
% 0.29/0.66 | ( S_22 = S_32 ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % join_and_local_commute
% 0.29/0.66 thf(fact_175_empty__map__finite_I3_J,axiom,
% 0.29/0.66 ( finite_finite_r
% 0.29/0.66 @ ( rID_G_r_l_v
% 0.29/0.66 @ ^ [X2: r] : none_P277133687_r_l_v ) ) ).
% 0.29/0.66
% 0.29/0.66 % empty_map_finite(3)
% 0.29/0.66 thf(fact_176_val_Oinject_I1_J,axiom,
% 0.29/0.66 ! [X1: const,Y1: const] :
% 0.29/0.66 ( ( ( cV_r_l_v @ X1 )
% 0.29/0.66 = ( cV_r_l_v @ Y1 ) )
% 0.29/0.66 = ( X1 = Y1 ) ) ).
% 0.29/0.66
% 0.29/0.66 % val.inject(1)
% 0.29/0.66 thf(fact_177_RID_092_060_094sub_062G__finite__invariant,axiom,
% 0.29/0.66 ! [R: r,S: r > option1457017436_r_l_v,S2: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( revision_step_r_l_v @ subst @ R @ S @ S2 )
% 0.29/0.66 => ( ( finite_finite_r @ ( rID_G_r_l_v @ S ) )
% 0.29/0.66 => ( finite_finite_r @ ( rID_G_r_l_v @ S2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % RID\<^sub>G_finite_invariant
% 0.29/0.66 thf(fact_178_reachable__imp__identifiers__finite_I1_J,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( reachable_r_l_v @ subst @ S )
% 0.29/0.66 => ( finite_finite_r @ ( rID_G_r_l_v @ S ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % reachable_imp_identifiers_finite(1)
% 0.29/0.66 thf(fact_179_reachable__imp__identifiers__available_I1_J,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( reachable_r_l_v @ subst @ S )
% 0.29/0.66 => ( ~ ( finite_finite_r @ top_top_set_r )
% 0.29/0.66 => ? [R5: r] :
% 0.29/0.66 ~ ( member_r @ R5 @ ( rID_G_r_l_v @ S ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % reachable_imp_identifiers_available(1)
% 0.29/0.66 thf(fact_180_finite__option__UNIV,axiom,
% 0.29/0.66 ( ( finite1036466630um_r_l @ top_to1855148309um_r_l )
% 0.29/0.66 = ( finite65649782um_r_l @ top_to182927813um_r_l ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_option_UNIV
% 0.29/0.66 thf(fact_181_finite__option__UNIV,axiom,
% 0.29/0.66 ( ( finite111936338um_l_r @ top_to1150555297um_l_r )
% 0.29/0.66 = ( finite1591053314um_l_r @ top_to1405881169um_l_r ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_option_UNIV
% 0.29/0.66 thf(fact_182_finite__option__UNIV,axiom,
% 0.29/0.66 ( ( finite1864485196um_l_l @ top_to1066565019um_l_l )
% 0.29/0.66 = ( finite1541484284um_l_l @ top_to1010946379um_l_l ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_option_UNIV
% 0.29/0.66 thf(fact_183_finite__option__UNIV,axiom,
% 0.29/0.66 ( ( finite555643486_set_r @ top_to555798885_set_r )
% 0.29/0.66 = ( finite_finite_set_r @ top_top_set_set_r ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_option_UNIV
% 0.29/0.66 thf(fact_184_finite__option__UNIV,axiom,
% 0.29/0.66 ( ( finite160708696_set_l @ top_to471808607_set_l )
% 0.29/0.66 = ( finite_finite_set_l @ top_top_set_set_l ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_option_UNIV
% 0.29/0.66 thf(fact_185_finite__option__UNIV,axiom,
% 0.29/0.66 ( ( finite16335230tion_r @ top_top_set_option_r )
% 0.29/0.66 = ( finite_finite_r @ top_top_set_r ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_option_UNIV
% 0.29/0.66 thf(fact_186_finite__option__UNIV,axiom,
% 0.29/0.66 ( ( finite2114249848tion_l @ top_top_set_option_l )
% 0.29/0.66 = ( finite_finite_l @ top_top_set_l ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_option_UNIV
% 0.29/0.66 thf(fact_187_domains__subsume__globally__def,axiom,
% 0.29/0.66 ( domain1547879849_r_l_v
% 0.29/0.66 = ( ^ [S5: r > option1457017436_r_l_v] :
% 0.29/0.66 ! [R6: r,Ls2: produc1156025366_r_l_v] :
% 0.29/0.66 ( ( ( S5 @ R6 )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ Ls2 ) )
% 0.29/0.66 => ( domain87684397_l_r_v @ Ls2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % domains_subsume_globally_def
% 0.29/0.66 thf(fact_188_finite__state__imp__restriction__finite_I1_J,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v,R: r] :
% 0.29/0.66 ( ( finite_finite_r @ ( rID_G_r_l_v @ S ) )
% 0.29/0.66 => ( finite_finite_r @ ( rID_G_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ none_P277133687_r_l_v ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_state_imp_restriction_finite(1)
% 0.29/0.66 thf(fact_189_revision__step_Ojoin,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,R2: r,Sigma3: l > option_val_r_l_v,Tau3: l > option_val_r_l_v,V: val_r_l_v] :
% 0.29/0.66 ( ( ( S @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rjoin_r_l_v @ ( vE_r_l_v @ ( rid_r_l_v @ R2 ) ) ) ) ) ) ) )
% 0.29/0.66 => ( ( ( S @ R2 )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma3 @ ( produc1834103605_r_l_v @ Tau3 @ ( vE_r_l_v @ V ) ) ) ) )
% 0.29/0.66 => ( revision_step_r_l_v @ subst @ R @ S @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ ( combine_l_val_r_l_v @ Tau2 @ Tau3 ) @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( cV_r_l_v @ unit ) ) ) ) ) ) ) @ R2 @ none_P277133687_r_l_v ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % revision_step.join
% 0.29/0.66 thf(fact_190_revision__step__relaxed_Ojoin,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,R2: r,Sigma3: l > option_val_r_l_v,Tau3: l > option_val_r_l_v,V: val_r_l_v] :
% 0.29/0.66 ( ( ( S @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rjoin_r_l_v @ ( vE_r_l_v @ ( rid_r_l_v @ R2 ) ) ) ) ) ) ) )
% 0.29/0.66 => ( ( ( S @ R2 )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma3 @ ( produc1834103605_r_l_v @ Tau3 @ ( vE_r_l_v @ V ) ) ) ) )
% 0.29/0.66 => ( revisi1291188644_r_l_v @ subst @ R @ S @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ ( combine_l_val_r_l_v @ Tau2 @ Tau3 ) @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( cV_r_l_v @ unit ) ) ) ) ) ) ) @ R2 @ none_P277133687_r_l_v ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % revision_step_relaxed.join
% 0.29/0.66 thf(fact_191_SLC__join,axiom,
% 0.29/0.66 ! [S_1: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,R4: r,S_2: r > option1457017436_r_l_v,Tau3: l > option_val_r_l_v,Sigma3: l > option_val_r_l_v,V: val_r_l_v,R2: r,S_22: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( ( S_1 @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rjoin_r_l_v @ ( vE_r_l_v @ ( rid_r_l_v @ R4 ) ) ) ) ) ) ) )
% 0.29/0.66 => ( ( S_2
% 0.29/0.66 = ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S_1 @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ ( combine_l_val_r_l_v @ Tau2 @ Tau3 ) @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( cV_r_l_v @ unit ) ) ) ) ) ) ) @ R4 @ none_P277133687_r_l_v ) )
% 0.29/0.66 => ( ( ( S_1 @ R4 )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma3 @ ( produc1834103605_r_l_v @ Tau3 @ ( vE_r_l_v @ V ) ) ) ) )
% 0.29/0.66 => ( ( revision_step_r_l_v @ subst @ R2 @ S_1 @ S_22 )
% 0.29/0.66 => ( ( R != R2 )
% 0.29/0.66 => ? [S_3: r > option1457017436_r_l_v,S_32: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( eq_states_r_l_v @ S_3 @ S_32 )
% 0.29/0.66 & ( ( revision_step_r_l_v @ subst @ R2 @ S_2 @ S_3 )
% 0.29/0.66 | ( S_2 = S_3 ) )
% 0.29/0.66 & ( ( revision_step_r_l_v @ subst @ R @ S_22 @ S_32 )
% 0.29/0.66 | ( S_22 = S_32 ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % SLC_join
% 0.29/0.66 thf(fact_192_bij___092_060alpha_062,axiom,
% 0.29/0.66 bij_betw_r_r @ alpha @ top_top_set_r @ top_top_set_r ).
% 0.29/0.66
% 0.29/0.66 % bij_\<alpha>
% 0.29/0.66 thf(fact_193_rjoin__deterministic,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,R2: r,Sigma3: l > option_val_r_l_v,Tau3: l > option_val_r_l_v,V: val_r_l_v,S2: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( ( S @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rjoin_r_l_v @ ( vE_r_l_v @ ( rid_r_l_v @ R2 ) ) ) ) ) ) ) )
% 0.29/0.66 => ( ( ( S @ R2 )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma3 @ ( produc1834103605_r_l_v @ Tau3 @ ( vE_r_l_v @ V ) ) ) ) )
% 0.29/0.66 => ( ( revision_step_r_l_v @ subst @ R @ S @ S2 )
% 0.29/0.66 = ( S2
% 0.29/0.66 = ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ ( combine_l_val_r_l_v @ Tau2 @ Tau3 ) @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( cV_r_l_v @ unit ) ) ) ) ) ) ) @ R2 @ none_P277133687_r_l_v ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % rjoin_deterministic
% 0.29/0.66 thf(fact_194_substitution_Oexecution_Ocong,axiom,
% 0.29/0.66 execution_r_l_v = execution_r_l_v ).
% 0.29/0.66
% 0.29/0.66 % substitution.execution.cong
% 0.29/0.66 thf(fact_195_substitution_Oinductive__invariant_Ocong,axiom,
% 0.29/0.66 induct1670415253_r_l_v = induct1670415253_r_l_v ).
% 0.29/0.66
% 0.29/0.66 % substitution.inductive_invariant.cong
% 0.29/0.66 thf(fact_196_val_Odistinct_I5_J,axiom,
% 0.29/0.66 ! [X1: const,X4: r] :
% 0.29/0.66 ( ( cV_r_l_v @ X1 )
% 0.29/0.66 != ( rid_r_l_v @ X4 ) ) ).
% 0.29/0.66
% 0.29/0.66 % val.distinct(5)
% 0.29/0.66 thf(fact_197_substitution_Oreachable__imp__identifiers__available_I1_J,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( reachable_r_l_v @ Subst @ S )
% 0.29/0.66 => ( ~ ( finite_finite_r @ top_top_set_r )
% 0.29/0.66 => ? [R5: r] :
% 0.29/0.66 ~ ( member_r @ R5 @ ( rID_G_r_l_v @ S ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.reachable_imp_identifiers_available(1)
% 0.29/0.66 thf(fact_198_substitution_Ostrong__local__confluence,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,R: r,S_1: r > option1457017436_r_l_v,S_2: r > option1457017436_r_l_v,R2: r,S_22: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( revision_step_r_l_v @ Subst @ R @ S_1 @ S_2 )
% 0.29/0.66 => ( ( revision_step_r_l_v @ Subst @ R2 @ S_1 @ S_22 )
% 0.29/0.66 => ( ( reachable_r_l_v @ Subst @ S_1 )
% 0.29/0.66 => ( ~ ( finite_finite_l @ top_top_set_l )
% 0.29/0.66 => ( ~ ( finite_finite_r @ top_top_set_r )
% 0.29/0.66 => ? [S_3: r > option1457017436_r_l_v,S_32: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( eq_states_r_l_v @ S_3 @ S_32 )
% 0.29/0.66 & ( ( revision_step_r_l_v @ Subst @ R2 @ S_2 @ S_3 )
% 0.29/0.66 | ( S_2 = S_3 ) )
% 0.29/0.66 & ( ( revision_step_r_l_v @ Subst @ R @ S_22 @ S_32 )
% 0.29/0.66 | ( S_22 = S_32 ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.strong_local_confluence
% 0.29/0.66 thf(fact_199_substitution_ORID_092_060_094sub_062G__finite__invariant,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,R: r,S: r > option1457017436_r_l_v,S2: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( revision_step_r_l_v @ Subst @ R @ S @ S2 )
% 0.29/0.66 => ( ( finite_finite_r @ ( rID_G_r_l_v @ S ) )
% 0.29/0.66 => ( finite_finite_r @ ( rID_G_r_l_v @ S2 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.RID\<^sub>G_finite_invariant
% 0.29/0.66 thf(fact_200_substitution_Oreachable__imp__identifiers__finite_I1_J,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( reachable_r_l_v @ Subst @ S )
% 0.29/0.66 => ( finite_finite_r @ ( rID_G_r_l_v @ S ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.reachable_imp_identifiers_finite(1)
% 0.29/0.66 thf(fact_201_substitution_Oreachable__imp___092_060S_062_092_060_094sub_062G,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( reachable_r_l_v @ Subst @ S )
% 0.29/0.66 => ( domain1547879849_r_l_v @ S ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.reachable_imp_\<S>\<^sub>G
% 0.29/0.66 thf(fact_202_substitution_Oinductive__invariant__is__execution__invariant,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v,P: ( r > option1457017436_r_l_v ) > $o] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( reachable_r_l_v @ Subst @ S )
% 0.29/0.66 => ( ( induct1670415253_r_l_v @ Subst @ P )
% 0.29/0.66 => ( P @ S ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.inductive_invariant_is_execution_invariant
% 0.29/0.66 thf(fact_203_substitution_Oempty__map__finite_I3_J,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( finite_finite_r
% 0.29/0.66 @ ( rID_G_r_l_v
% 0.29/0.66 @ ^ [X2: r] : none_P277133687_r_l_v ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.empty_map_finite(3)
% 0.29/0.66 thf(fact_204_substitution_Oreachable__def,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( reachable_r_l_v @ Subst @ S )
% 0.29/0.66 = ( ? [E6: expr_r_l_v,S3: r > option1457017436_r_l_v] : ( execution_r_l_v @ Subst @ E6 @ S3 @ S ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.reachable_def
% 0.29/0.66 thf(fact_205_substitution_Ofinite__state__imp__restriction__finite_I1_J,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v,R: r] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( finite_finite_r @ ( rID_G_r_l_v @ S ) )
% 0.29/0.66 => ( finite_finite_r @ ( rID_G_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ none_P277133687_r_l_v ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.finite_state_imp_restriction_finite(1)
% 0.29/0.66 thf(fact_206_substitution_Oreachable_Ocong,axiom,
% 0.29/0.66 reachable_r_l_v = reachable_r_l_v ).
% 0.29/0.66
% 0.29/0.66 % substitution.reachable.cong
% 0.29/0.66 thf(fact_207_substitution_Orevision__step_Ojoin,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,R2: r,Sigma3: l > option_val_r_l_v,Tau3: l > option_val_r_l_v,V: val_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( ( S @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rjoin_r_l_v @ ( vE_r_l_v @ ( rid_r_l_v @ R2 ) ) ) ) ) ) ) )
% 0.29/0.66 => ( ( ( S @ R2 )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma3 @ ( produc1834103605_r_l_v @ Tau3 @ ( vE_r_l_v @ V ) ) ) ) )
% 0.29/0.66 => ( revision_step_r_l_v @ Subst @ R @ S @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ ( combine_l_val_r_l_v @ Tau2 @ Tau3 ) @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( cV_r_l_v @ unit ) ) ) ) ) ) ) @ R2 @ none_P277133687_r_l_v ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.revision_step.join
% 0.29/0.66 thf(fact_208_substitution_Orjoin__deterministic,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,R2: r,Sigma3: l > option_val_r_l_v,Tau3: l > option_val_r_l_v,V: val_r_l_v,S2: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( ( S @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rjoin_r_l_v @ ( vE_r_l_v @ ( rid_r_l_v @ R2 ) ) ) ) ) ) ) )
% 0.29/0.66 => ( ( ( S @ R2 )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma3 @ ( produc1834103605_r_l_v @ Tau3 @ ( vE_r_l_v @ V ) ) ) ) )
% 0.29/0.66 => ( ( revision_step_r_l_v @ Subst @ R @ S @ S2 )
% 0.29/0.66 = ( S2
% 0.29/0.66 = ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ ( combine_l_val_r_l_v @ Tau2 @ Tau3 ) @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( cV_r_l_v @ unit ) ) ) ) ) ) ) @ R2 @ none_P277133687_r_l_v ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.rjoin_deterministic
% 0.29/0.66 thf(fact_209_substitution_Orevision__step__relaxed_Ojoin,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,R2: r,Sigma3: l > option_val_r_l_v,Tau3: l > option_val_r_l_v,V: val_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( ( S @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rjoin_r_l_v @ ( vE_r_l_v @ ( rid_r_l_v @ R2 ) ) ) ) ) ) ) )
% 0.29/0.66 => ( ( ( S @ R2 )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma3 @ ( produc1834103605_r_l_v @ Tau3 @ ( vE_r_l_v @ V ) ) ) ) )
% 0.29/0.66 => ( revisi1291188644_r_l_v @ Subst @ R @ S @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ ( combine_l_val_r_l_v @ Tau2 @ Tau3 ) @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( cV_r_l_v @ unit ) ) ) ) ) ) ) @ R2 @ none_P277133687_r_l_v ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.revision_step_relaxed.join
% 0.29/0.66 thf(fact_210_substitution_Ojoin__and__local__commute,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S_2: r > option1457017436_r_l_v,S_1: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,Tau3: l > option_val_r_l_v,E: cntxt_r_l_v,R4: r,S_22: r > option1457017436_r_l_v,R2: r,Ls: produc1156025366_r_l_v,Sigma3: l > option_val_r_l_v,V: val_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( S_2
% 0.29/0.66 = ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S_1 @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ ( combine_l_val_r_l_v @ Tau2 @ Tau3 ) @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( cV_r_l_v @ unit ) ) ) ) ) ) ) @ R4 @ none_P277133687_r_l_v ) )
% 0.29/0.66 => ( ( S_22
% 0.29/0.66 = ( fun_up709272714_r_l_v @ S_1 @ R2 @ ( some_P1807977723_r_l_v @ Ls ) ) )
% 0.29/0.66 => ( ( R != R2 )
% 0.29/0.66 => ( ( R2 != R4 )
% 0.29/0.66 => ( ( revision_step_r_l_v @ Subst @ R2 @ S_2 @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S_1 @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ ( combine_l_val_r_l_v @ Tau2 @ Tau3 ) @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( cV_r_l_v @ unit ) ) ) ) ) ) ) @ R4 @ none_P277133687_r_l_v ) @ R2 @ ( some_P1807977723_r_l_v @ Ls ) ) )
% 0.29/0.66 => ( ( ( S_22 @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rjoin_r_l_v @ ( vE_r_l_v @ ( rid_r_l_v @ R4 ) ) ) ) ) ) ) )
% 0.29/0.66 => ( ( ( S_22 @ R4 )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma3 @ ( produc1834103605_r_l_v @ Tau3 @ ( vE_r_l_v @ V ) ) ) ) )
% 0.29/0.66 => ? [S_3: r > option1457017436_r_l_v,S_32: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( eq_states_r_l_v @ S_3 @ S_32 )
% 0.29/0.66 & ( ( revision_step_r_l_v @ Subst @ R2 @ S_2 @ S_3 )
% 0.29/0.66 | ( S_2 = S_3 ) )
% 0.29/0.66 & ( ( revision_step_r_l_v @ Subst @ R @ S_22 @ S_32 )
% 0.29/0.66 | ( S_22 = S_32 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.join_and_local_commute
% 0.29/0.66 thf(fact_211_substitution_OSLC__join,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S_1: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,R4: r,S_2: r > option1457017436_r_l_v,Tau3: l > option_val_r_l_v,Sigma3: l > option_val_r_l_v,V: val_r_l_v,R2: r,S_22: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( ( S_1 @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rjoin_r_l_v @ ( vE_r_l_v @ ( rid_r_l_v @ R4 ) ) ) ) ) ) ) )
% 0.29/0.66 => ( ( S_2
% 0.29/0.66 = ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S_1 @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ ( combine_l_val_r_l_v @ Tau2 @ Tau3 ) @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( cV_r_l_v @ unit ) ) ) ) ) ) ) @ R4 @ none_P277133687_r_l_v ) )
% 0.29/0.66 => ( ( ( S_1 @ R4 )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma3 @ ( produc1834103605_r_l_v @ Tau3 @ ( vE_r_l_v @ V ) ) ) ) )
% 0.29/0.66 => ( ( revision_step_r_l_v @ Subst @ R2 @ S_1 @ S_22 )
% 0.29/0.66 => ( ( R != R2 )
% 0.29/0.66 => ? [S_3: r > option1457017436_r_l_v,S_32: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( eq_states_r_l_v @ S_3 @ S_32 )
% 0.29/0.66 & ( ( revision_step_r_l_v @ Subst @ R2 @ S_2 @ S_3 )
% 0.29/0.66 | ( S_2 = S_3 ) )
% 0.29/0.66 & ( ( revision_step_r_l_v @ Subst @ R @ S_22 @ S_32 )
% 0.29/0.66 | ( S_22 = S_32 ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.SLC_join
% 0.29/0.66 thf(fact_212_substitution_OSLC__fork,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S_1: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,E4: expr_r_l_v,S_2: r > option1457017436_r_l_v,Left_forkee: r,R2: r,S_22: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( ( S_1 @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( rfork_r_l_v @ E4 ) ) ) ) ) )
% 0.29/0.66 => ( ( S_2
% 0.29/0.66 = ( fun_up709272714_r_l_v @ ( fun_up709272714_r_l_v @ S_1 @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( rid_r_l_v @ Left_forkee ) ) ) ) ) ) ) @ Left_forkee
% 0.29/0.66 @ ( some_P1807977723_r_l_v
% 0.29/0.66 @ ( produc297528454_r_l_v @ ( combine_l_val_r_l_v @ Sigma2 @ Tau2 )
% 0.29/0.66 @ ( produc1834103605_r_l_v
% 0.29/0.66 @ ^ [X2: l] : none_val_r_l_v
% 0.29/0.66 @ E4 ) ) ) ) )
% 0.29/0.66 => ( ~ ( member_r @ Left_forkee @ ( rID_G_r_l_v @ S_1 ) )
% 0.29/0.66 => ( ( revision_step_r_l_v @ Subst @ R2 @ S_1 @ S_22 )
% 0.29/0.66 => ( ( R != R2 )
% 0.29/0.66 => ( ( reachable_r_l_v @ Subst @ S_1 )
% 0.29/0.66 => ( ~ ( finite_finite_r @ top_top_set_r )
% 0.29/0.66 => ? [S_3: r > option1457017436_r_l_v,S_32: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( eq_states_r_l_v @ S_3 @ S_32 )
% 0.29/0.66 & ( ( revision_step_r_l_v @ Subst @ R2 @ S_2 @ S_3 )
% 0.29/0.66 | ( S_2 = S_3 ) )
% 0.29/0.66 & ( ( revision_step_r_l_v @ Subst @ R @ S_22 @ S_32 )
% 0.29/0.66 | ( S_22 = S_32 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.SLC_fork
% 0.29/0.66 thf(fact_213_substitution_Oreachability__closed__under__execution__step,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v,R: r,S2: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( reachable_r_l_v @ Subst @ S )
% 0.29/0.66 => ( ( revision_step_r_l_v @ Subst @ R @ S @ S2 )
% 0.29/0.66 => ( reachable_r_l_v @ Subst @ S2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.reachability_closed_under_execution_step
% 0.29/0.66 thf(fact_214_nice__ind__inv__is__inductive__invariant,axiom,
% 0.29/0.66 ( induct1670415253_r_l_v @ subst
% 0.29/0.66 @ ^ [S5: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( domain1547879849_r_l_v @ S5 )
% 0.29/0.66 & ( subsum680764357_r_l_v @ S5 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % nice_ind_inv_is_inductive_invariant
% 0.29/0.66 thf(fact_215_step__preserves___092_060S_062_092_060_094sub_062G__and___092_060A_062_092_060_094sub_062G_I2_J,axiom,
% 0.29/0.66 ! [R: r,S: r > option1457017436_r_l_v,S2: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( revision_step_r_l_v @ subst @ R @ S @ S2 )
% 0.29/0.66 => ( ( domain1547879849_r_l_v @ S )
% 0.29/0.66 => ( ( subsum680764357_r_l_v @ S )
% 0.29/0.66 => ( subsum680764357_r_l_v @ S2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % step_preserves_\<S>\<^sub>G_and_\<A>\<^sub>G(2)
% 0.29/0.66 thf(fact_216_step__preserves___092_060S_062_092_060_094sub_062G__and___092_060A_062_092_060_094sub_062G_I1_J,axiom,
% 0.29/0.66 ! [R: r,S: r > option1457017436_r_l_v,S2: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( revision_step_r_l_v @ subst @ R @ S @ S2 )
% 0.29/0.66 => ( ( domain1547879849_r_l_v @ S )
% 0.29/0.66 => ( ( subsum680764357_r_l_v @ S )
% 0.29/0.66 => ( domain1547879849_r_l_v @ S2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % step_preserves_\<S>\<^sub>G_and_\<A>\<^sub>G(1)
% 0.29/0.66 thf(fact_217_finite__Collect__not,axiom,
% 0.29/0.66 ! [P: sum_sum_r_l > $o] :
% 0.29/0.66 ( ( finite65649782um_r_l @ ( collect_Sum_sum_r_l @ P ) )
% 0.29/0.66 => ( ( finite65649782um_r_l
% 0.29/0.66 @ ( collect_Sum_sum_r_l
% 0.29/0.66 @ ^ [X2: sum_sum_r_l] :
% 0.29/0.66 ~ ( P @ X2 ) ) )
% 0.29/0.66 = ( finite65649782um_r_l @ top_to182927813um_r_l ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Collect_not
% 0.29/0.66 thf(fact_218_finite__Collect__not,axiom,
% 0.29/0.66 ! [P: sum_sum_l_r > $o] :
% 0.29/0.66 ( ( finite1591053314um_l_r @ ( collect_Sum_sum_l_r @ P ) )
% 0.29/0.66 => ( ( finite1591053314um_l_r
% 0.29/0.66 @ ( collect_Sum_sum_l_r
% 0.29/0.66 @ ^ [X2: sum_sum_l_r] :
% 0.29/0.66 ~ ( P @ X2 ) ) )
% 0.29/0.66 = ( finite1591053314um_l_r @ top_to1405881169um_l_r ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Collect_not
% 0.29/0.66 thf(fact_219_finite__Collect__not,axiom,
% 0.29/0.66 ! [P: sum_sum_l_l > $o] :
% 0.29/0.66 ( ( finite1541484284um_l_l @ ( collect_Sum_sum_l_l @ P ) )
% 0.29/0.66 => ( ( finite1541484284um_l_l
% 0.29/0.66 @ ( collect_Sum_sum_l_l
% 0.29/0.66 @ ^ [X2: sum_sum_l_l] :
% 0.29/0.66 ~ ( P @ X2 ) ) )
% 0.29/0.66 = ( finite1541484284um_l_l @ top_to1010946379um_l_l ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Collect_not
% 0.29/0.66 thf(fact_220_finite__Collect__not,axiom,
% 0.29/0.66 ! [P: set_r > $o] :
% 0.29/0.66 ( ( finite_finite_set_r @ ( collect_set_r @ P ) )
% 0.29/0.66 => ( ( finite_finite_set_r
% 0.29/0.66 @ ( collect_set_r
% 0.29/0.66 @ ^ [X2: set_r] :
% 0.29/0.66 ~ ( P @ X2 ) ) )
% 0.29/0.66 = ( finite_finite_set_r @ top_top_set_set_r ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Collect_not
% 0.29/0.66 thf(fact_221_finite__Collect__not,axiom,
% 0.29/0.66 ! [P: set_l > $o] :
% 0.29/0.66 ( ( finite_finite_set_l @ ( collect_set_l @ P ) )
% 0.29/0.66 => ( ( finite_finite_set_l
% 0.29/0.66 @ ( collect_set_l
% 0.29/0.66 @ ^ [X2: set_l] :
% 0.29/0.66 ~ ( P @ X2 ) ) )
% 0.29/0.66 = ( finite_finite_set_l @ top_top_set_set_l ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Collect_not
% 0.29/0.66 thf(fact_222_finite__Collect__not,axiom,
% 0.29/0.66 ! [P: r > $o] :
% 0.29/0.66 ( ( finite_finite_r @ ( collect_r @ P ) )
% 0.29/0.66 => ( ( finite_finite_r
% 0.29/0.66 @ ( collect_r
% 0.29/0.66 @ ^ [X2: r] :
% 0.29/0.66 ~ ( P @ X2 ) ) )
% 0.29/0.66 = ( finite_finite_r @ top_top_set_r ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Collect_not
% 0.29/0.66 thf(fact_223_finite__Collect__not,axiom,
% 0.29/0.66 ! [P: l > $o] :
% 0.29/0.66 ( ( finite_finite_l @ ( collect_l @ P ) )
% 0.29/0.66 => ( ( finite_finite_l
% 0.29/0.66 @ ( collect_l
% 0.29/0.66 @ ^ [X2: l] :
% 0.29/0.66 ~ ( P @ X2 ) ) )
% 0.29/0.66 = ( finite_finite_l @ top_top_set_l ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Collect_not
% 0.29/0.66 thf(fact_224_in__renamed__in__unlabelled__global_I1_J,axiom,
% 0.29/0.66 ! [Alpha2: r > r,Beta2: l > l,R: r,S: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( bij_betw_r_r @ Alpha2 @ top_top_set_r @ top_top_set_r )
% 0.29/0.66 => ( ( bij_betw_l_l @ Beta2 @ top_top_set_l @ top_top_set_l )
% 0.29/0.66 => ( ( member_r @ ( Alpha2 @ R ) @ ( rID_G_r_l_v @ ( r_G_r_l_v @ Alpha2 @ Beta2 @ S ) ) )
% 0.29/0.66 = ( member_r @ R @ ( rID_G_r_l_v @ S ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % in_renamed_in_unlabelled_global(1)
% 0.29/0.66 thf(fact_225_finite__Collect__conjI,axiom,
% 0.29/0.66 ! [P: sum_sum_r_l > $o,Q: sum_sum_r_l > $o] :
% 0.29/0.66 ( ( ( finite65649782um_r_l @ ( collect_Sum_sum_r_l @ P ) )
% 0.29/0.66 | ( finite65649782um_r_l @ ( collect_Sum_sum_r_l @ Q ) ) )
% 0.29/0.66 => ( finite65649782um_r_l
% 0.29/0.66 @ ( collect_Sum_sum_r_l
% 0.29/0.66 @ ^ [X2: sum_sum_r_l] :
% 0.29/0.66 ( ( P @ X2 )
% 0.29/0.66 & ( Q @ X2 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Collect_conjI
% 0.29/0.66 thf(fact_226_finite__Collect__conjI,axiom,
% 0.29/0.66 ! [P: sum_sum_l_r > $o,Q: sum_sum_l_r > $o] :
% 0.29/0.66 ( ( ( finite1591053314um_l_r @ ( collect_Sum_sum_l_r @ P ) )
% 0.29/0.66 | ( finite1591053314um_l_r @ ( collect_Sum_sum_l_r @ Q ) ) )
% 0.29/0.66 => ( finite1591053314um_l_r
% 0.29/0.66 @ ( collect_Sum_sum_l_r
% 0.29/0.66 @ ^ [X2: sum_sum_l_r] :
% 0.29/0.66 ( ( P @ X2 )
% 0.29/0.66 & ( Q @ X2 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Collect_conjI
% 0.29/0.66 thf(fact_227_finite__Collect__conjI,axiom,
% 0.29/0.66 ! [P: sum_sum_l_l > $o,Q: sum_sum_l_l > $o] :
% 0.29/0.66 ( ( ( finite1541484284um_l_l @ ( collect_Sum_sum_l_l @ P ) )
% 0.29/0.66 | ( finite1541484284um_l_l @ ( collect_Sum_sum_l_l @ Q ) ) )
% 0.29/0.66 => ( finite1541484284um_l_l
% 0.29/0.66 @ ( collect_Sum_sum_l_l
% 0.29/0.66 @ ^ [X2: sum_sum_l_l] :
% 0.29/0.66 ( ( P @ X2 )
% 0.29/0.66 & ( Q @ X2 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Collect_conjI
% 0.29/0.66 thf(fact_228_finite__Collect__conjI,axiom,
% 0.29/0.66 ! [P: set_r > $o,Q: set_r > $o] :
% 0.29/0.66 ( ( ( finite_finite_set_r @ ( collect_set_r @ P ) )
% 0.29/0.66 | ( finite_finite_set_r @ ( collect_set_r @ Q ) ) )
% 0.29/0.66 => ( finite_finite_set_r
% 0.29/0.66 @ ( collect_set_r
% 0.29/0.66 @ ^ [X2: set_r] :
% 0.29/0.66 ( ( P @ X2 )
% 0.29/0.66 & ( Q @ X2 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Collect_conjI
% 0.29/0.66 thf(fact_229_finite__Collect__conjI,axiom,
% 0.29/0.66 ! [P: set_l > $o,Q: set_l > $o] :
% 0.29/0.66 ( ( ( finite_finite_set_l @ ( collect_set_l @ P ) )
% 0.29/0.66 | ( finite_finite_set_l @ ( collect_set_l @ Q ) ) )
% 0.29/0.66 => ( finite_finite_set_l
% 0.29/0.66 @ ( collect_set_l
% 0.29/0.66 @ ^ [X2: set_l] :
% 0.29/0.66 ( ( P @ X2 )
% 0.29/0.66 & ( Q @ X2 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Collect_conjI
% 0.29/0.66 thf(fact_230_finite__Collect__conjI,axiom,
% 0.29/0.66 ! [P: r > $o,Q: r > $o] :
% 0.29/0.66 ( ( ( finite_finite_r @ ( collect_r @ P ) )
% 0.29/0.66 | ( finite_finite_r @ ( collect_r @ Q ) ) )
% 0.29/0.66 => ( finite_finite_r
% 0.29/0.66 @ ( collect_r
% 0.29/0.66 @ ^ [X2: r] :
% 0.29/0.66 ( ( P @ X2 )
% 0.29/0.66 & ( Q @ X2 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Collect_conjI
% 0.29/0.66 thf(fact_231_finite__Collect__conjI,axiom,
% 0.29/0.66 ! [P: l > $o,Q: l > $o] :
% 0.29/0.66 ( ( ( finite_finite_l @ ( collect_l @ P ) )
% 0.29/0.66 | ( finite_finite_l @ ( collect_l @ Q ) ) )
% 0.29/0.66 => ( finite_finite_l
% 0.29/0.66 @ ( collect_l
% 0.29/0.66 @ ^ [X2: l] :
% 0.29/0.66 ( ( P @ X2 )
% 0.29/0.66 & ( Q @ X2 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Collect_conjI
% 0.29/0.66 thf(fact_232_finite__Collect__disjI,axiom,
% 0.29/0.66 ! [P: set_r > $o,Q: set_r > $o] :
% 0.29/0.66 ( ( finite_finite_set_r
% 0.29/0.66 @ ( collect_set_r
% 0.29/0.66 @ ^ [X2: set_r] :
% 0.29/0.66 ( ( P @ X2 )
% 0.29/0.66 | ( Q @ X2 ) ) ) )
% 0.29/0.66 = ( ( finite_finite_set_r @ ( collect_set_r @ P ) )
% 0.29/0.66 & ( finite_finite_set_r @ ( collect_set_r @ Q ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Collect_disjI
% 0.29/0.66 thf(fact_233_finite__Collect__disjI,axiom,
% 0.29/0.66 ! [P: set_l > $o,Q: set_l > $o] :
% 0.29/0.66 ( ( finite_finite_set_l
% 0.29/0.66 @ ( collect_set_l
% 0.29/0.66 @ ^ [X2: set_l] :
% 0.29/0.66 ( ( P @ X2 )
% 0.29/0.66 | ( Q @ X2 ) ) ) )
% 0.29/0.66 = ( ( finite_finite_set_l @ ( collect_set_l @ P ) )
% 0.29/0.66 & ( finite_finite_set_l @ ( collect_set_l @ Q ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Collect_disjI
% 0.29/0.66 thf(fact_234_finite__Collect__disjI,axiom,
% 0.29/0.66 ! [P: r > $o,Q: r > $o] :
% 0.29/0.66 ( ( finite_finite_r
% 0.29/0.66 @ ( collect_r
% 0.29/0.66 @ ^ [X2: r] :
% 0.29/0.66 ( ( P @ X2 )
% 0.29/0.66 | ( Q @ X2 ) ) ) )
% 0.29/0.66 = ( ( finite_finite_r @ ( collect_r @ P ) )
% 0.29/0.66 & ( finite_finite_r @ ( collect_r @ Q ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Collect_disjI
% 0.29/0.66 thf(fact_235_finite__Collect__disjI,axiom,
% 0.29/0.66 ! [P: l > $o,Q: l > $o] :
% 0.29/0.66 ( ( finite_finite_l
% 0.29/0.66 @ ( collect_l
% 0.29/0.66 @ ^ [X2: l] :
% 0.29/0.66 ( ( P @ X2 )
% 0.29/0.66 | ( Q @ X2 ) ) ) )
% 0.29/0.66 = ( ( finite_finite_l @ ( collect_l @ P ) )
% 0.29/0.66 & ( finite_finite_l @ ( collect_l @ Q ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Collect_disjI
% 0.29/0.66 thf(fact_236_strong__local__confluence,axiom,
% 0.29/0.66 ! [R: r,S_1: r > option1457017436_r_l_v,S_2: r > option1457017436_r_l_v,R2: r,S_22: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( revision_step_r_l_v @ subst @ R @ S_1 @ S_2 )
% 0.29/0.66 => ( ( revision_step_r_l_v @ subst @ R2 @ S_1 @ S_22 )
% 0.29/0.66 => ( ( reachable_r_l_v @ subst @ S_1 )
% 0.29/0.66 => ( ~ ( finite_finite_l @ top_top_set_l )
% 0.29/0.66 => ( ~ ( finite_finite_r @ top_top_set_r )
% 0.29/0.66 => ? [S_3: r > option1457017436_r_l_v,S_32: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( eq_states_r_l_v @ S_3 @ S_32 )
% 0.29/0.66 & ( ( revision_step_r_l_v @ subst @ R2 @ S_2 @ S_3 )
% 0.29/0.66 | ( S_2 = S_3 ) )
% 0.29/0.66 & ( ( revision_step_r_l_v @ subst @ R @ S_22 @ S_32 )
% 0.29/0.66 | ( S_22 = S_32 ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % strong_local_confluence
% 0.29/0.66 thf(fact_237_finite__Plus__UNIV__iff,axiom,
% 0.29/0.66 ( ( finite115218812um_r_r @ top_to577862603um_r_r )
% 0.29/0.66 = ( ( finite_finite_r @ top_top_set_r )
% 0.29/0.66 & ( finite_finite_r @ top_top_set_r ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Plus_UNIV_iff
% 0.29/0.66 thf(fact_238_finite__Plus__UNIV__iff,axiom,
% 0.29/0.66 ( ( finite65649782um_r_l @ top_to182927813um_r_l )
% 0.29/0.66 = ( ( finite_finite_r @ top_top_set_r )
% 0.29/0.66 & ( finite_finite_l @ top_top_set_l ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Plus_UNIV_iff
% 0.29/0.66 thf(fact_239_finite__Plus__UNIV__iff,axiom,
% 0.29/0.66 ( ( finite1591053314um_l_r @ top_to1405881169um_l_r )
% 0.29/0.66 = ( ( finite_finite_l @ top_top_set_l )
% 0.29/0.66 & ( finite_finite_r @ top_top_set_r ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Plus_UNIV_iff
% 0.29/0.66 thf(fact_240_finite__Plus__UNIV__iff,axiom,
% 0.29/0.66 ( ( finite1541484284um_l_l @ top_to1010946379um_l_l )
% 0.29/0.66 = ( ( finite_finite_l @ top_top_set_l )
% 0.29/0.66 & ( finite_finite_l @ top_top_set_l ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Plus_UNIV_iff
% 0.29/0.66 thf(fact_241_eq__statesI,axiom,
% 0.29/0.66 ! [Alpha2: r > r,Beta2: l > l,S: r > option1457017436_r_l_v,S2: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( ( r_G_r_l_v @ Alpha2 @ Beta2 @ S )
% 0.29/0.66 = S2 )
% 0.29/0.66 => ( ( bij_betw_r_r @ Alpha2 @ top_top_set_r @ top_top_set_r )
% 0.29/0.66 => ( ( bij_betw_l_l @ Beta2 @ top_top_set_l @ top_top_set_l )
% 0.29/0.66 => ( eq_states_r_l_v @ S @ S2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % eq_statesI
% 0.29/0.66 thf(fact_242_renaming__distr__global_I2_J,axiom,
% 0.29/0.66 ! [Alpha2: r > r,Beta2: l > l,S: r > option1457017436_r_l_v,R: r] :
% 0.29/0.66 ( ( bij_betw_r_r @ Alpha2 @ top_top_set_r @ top_top_set_r )
% 0.29/0.66 => ( ( r_G_r_l_v @ Alpha2 @ Beta2 @ ( fun_up709272714_r_l_v @ S @ R @ none_P277133687_r_l_v ) )
% 0.29/0.66 = ( fun_up709272714_r_l_v @ ( r_G_r_l_v @ Alpha2 @ Beta2 @ S ) @ ( Alpha2 @ R ) @ none_P277133687_r_l_v ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % renaming_distr_global(2)
% 0.29/0.66 thf(fact_243_domains__subsume__globallyI,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ! [R5: r,Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v,E3: expr_r_l_v] :
% 0.29/0.66 ( ( ( S @ R5 )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) ) )
% 0.29/0.66 => ( domain87684397_l_r_v @ ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) ) )
% 0.29/0.66 => ( domain1547879849_r_l_v @ S ) ) ).
% 0.29/0.66
% 0.29/0.66 % domains_subsume_globallyI
% 0.29/0.66 thf(fact_244_bij___092_060beta_062,axiom,
% 0.29/0.66 bij_betw_l_l @ beta @ top_top_set_l @ top_top_set_l ).
% 0.29/0.66
% 0.29/0.66 % bij_\<beta>
% 0.29/0.66 thf(fact_245_bij__betw__finite,axiom,
% 0.29/0.66 ! [F: r > r,A5: set_r,B5: set_r] :
% 0.29/0.66 ( ( bij_betw_r_r @ F @ A5 @ B5 )
% 0.29/0.66 => ( ( finite_finite_r @ A5 )
% 0.29/0.66 = ( finite_finite_r @ B5 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % bij_betw_finite
% 0.29/0.66 thf(fact_246_bij__betw__finite,axiom,
% 0.29/0.66 ! [F: r > l,A5: set_r,B5: set_l] :
% 0.29/0.66 ( ( bij_betw_r_l @ F @ A5 @ B5 )
% 0.29/0.66 => ( ( finite_finite_r @ A5 )
% 0.29/0.66 = ( finite_finite_l @ B5 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % bij_betw_finite
% 0.29/0.66 thf(fact_247_bij__betw__finite,axiom,
% 0.29/0.66 ! [F: l > r,A5: set_l,B5: set_r] :
% 0.29/0.66 ( ( bij_betw_l_r @ F @ A5 @ B5 )
% 0.29/0.66 => ( ( finite_finite_l @ A5 )
% 0.29/0.66 = ( finite_finite_r @ B5 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % bij_betw_finite
% 0.29/0.66 thf(fact_248_bij__betw__finite,axiom,
% 0.29/0.66 ! [F: l > l,A5: set_l,B5: set_l] :
% 0.29/0.66 ( ( bij_betw_l_l @ F @ A5 @ B5 )
% 0.29/0.66 => ( ( finite_finite_l @ A5 )
% 0.29/0.66 = ( finite_finite_l @ B5 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % bij_betw_finite
% 0.29/0.66 thf(fact_249_bij__pointE,axiom,
% 0.29/0.66 ! [F: r > r,Y: r] :
% 0.29/0.66 ( ( bij_betw_r_r @ F @ top_top_set_r @ top_top_set_r )
% 0.29/0.66 => ~ ! [X3: r] :
% 0.29/0.66 ( ( Y
% 0.29/0.66 = ( F @ X3 ) )
% 0.29/0.66 => ~ ! [X9: r] :
% 0.29/0.66 ( ( Y
% 0.29/0.66 = ( F @ X9 ) )
% 0.29/0.66 => ( X9 = X3 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % bij_pointE
% 0.29/0.66 thf(fact_250_bij__pointE,axiom,
% 0.29/0.66 ! [F: r > l,Y: l] :
% 0.29/0.66 ( ( bij_betw_r_l @ F @ top_top_set_r @ top_top_set_l )
% 0.29/0.66 => ~ ! [X3: r] :
% 0.29/0.66 ( ( Y
% 0.29/0.66 = ( F @ X3 ) )
% 0.29/0.66 => ~ ! [X9: r] :
% 0.29/0.66 ( ( Y
% 0.29/0.66 = ( F @ X9 ) )
% 0.29/0.66 => ( X9 = X3 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % bij_pointE
% 0.29/0.66 thf(fact_251_bij__pointE,axiom,
% 0.29/0.66 ! [F: l > r,Y: r] :
% 0.29/0.66 ( ( bij_betw_l_r @ F @ top_top_set_l @ top_top_set_r )
% 0.29/0.66 => ~ ! [X3: l] :
% 0.29/0.66 ( ( Y
% 0.29/0.66 = ( F @ X3 ) )
% 0.29/0.66 => ~ ! [X9: l] :
% 0.29/0.66 ( ( Y
% 0.29/0.66 = ( F @ X9 ) )
% 0.29/0.66 => ( X9 = X3 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % bij_pointE
% 0.29/0.66 thf(fact_252_bij__pointE,axiom,
% 0.29/0.66 ! [F: l > l,Y: l] :
% 0.29/0.66 ( ( bij_betw_l_l @ F @ top_top_set_l @ top_top_set_l )
% 0.29/0.66 => ~ ! [X3: l] :
% 0.29/0.66 ( ( Y
% 0.29/0.66 = ( F @ X3 ) )
% 0.29/0.66 => ~ ! [X9: l] :
% 0.29/0.66 ( ( Y
% 0.29/0.66 = ( F @ X9 ) )
% 0.29/0.66 => ( X9 = X3 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % bij_pointE
% 0.29/0.66 thf(fact_253_bij__betwE,axiom,
% 0.29/0.66 ! [F: r > r,A5: set_r,B5: set_r] :
% 0.29/0.66 ( ( bij_betw_r_r @ F @ A5 @ B5 )
% 0.29/0.66 => ! [X10: r] :
% 0.29/0.66 ( ( member_r @ X10 @ A5 )
% 0.29/0.66 => ( member_r @ ( F @ X10 ) @ B5 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % bij_betwE
% 0.29/0.66 thf(fact_254_bij__betwE,axiom,
% 0.29/0.66 ! [F: l > l,A5: set_l,B5: set_l] :
% 0.29/0.66 ( ( bij_betw_l_l @ F @ A5 @ B5 )
% 0.29/0.66 => ! [X10: l] :
% 0.29/0.66 ( ( member_l @ X10 @ A5 )
% 0.29/0.66 => ( member_l @ ( F @ X10 ) @ B5 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % bij_betwE
% 0.29/0.66 thf(fact_255_bij__betw__inv,axiom,
% 0.29/0.66 ! [F: r > r,A5: set_r,B5: set_r] :
% 0.29/0.66 ( ( bij_betw_r_r @ F @ A5 @ B5 )
% 0.29/0.66 => ? [G3: r > r] : ( bij_betw_r_r @ G3 @ B5 @ A5 ) ) ).
% 0.29/0.66
% 0.29/0.66 % bij_betw_inv
% 0.29/0.66 thf(fact_256_bij__betw__inv,axiom,
% 0.29/0.66 ! [F: l > l,A5: set_l,B5: set_l] :
% 0.29/0.66 ( ( bij_betw_l_l @ F @ A5 @ B5 )
% 0.29/0.66 => ? [G3: l > l] : ( bij_betw_l_l @ G3 @ B5 @ A5 ) ) ).
% 0.29/0.66
% 0.29/0.66 % bij_betw_inv
% 0.29/0.66 thf(fact_257_bij__betw__cong,axiom,
% 0.29/0.66 ! [A5: set_r,F: r > r,G: r > r,A6: set_r] :
% 0.29/0.66 ( ! [A3: r] :
% 0.29/0.66 ( ( member_r @ A3 @ A5 )
% 0.29/0.66 => ( ( F @ A3 )
% 0.29/0.66 = ( G @ A3 ) ) )
% 0.29/0.66 => ( ( bij_betw_r_r @ F @ A5 @ A6 )
% 0.29/0.66 = ( bij_betw_r_r @ G @ A5 @ A6 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % bij_betw_cong
% 0.29/0.66 thf(fact_258_bij__betw__cong,axiom,
% 0.29/0.66 ! [A5: set_l,F: l > l,G: l > l,A6: set_l] :
% 0.29/0.66 ( ! [A3: l] :
% 0.29/0.66 ( ( member_l @ A3 @ A5 )
% 0.29/0.66 => ( ( F @ A3 )
% 0.29/0.66 = ( G @ A3 ) ) )
% 0.29/0.66 => ( ( bij_betw_l_l @ F @ A5 @ A6 )
% 0.29/0.66 = ( bij_betw_l_l @ G @ A5 @ A6 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % bij_betw_cong
% 0.29/0.66 thf(fact_259_bij__betw__apply,axiom,
% 0.29/0.66 ! [F: r > l,A5: set_r,B5: set_l,A: r] :
% 0.29/0.66 ( ( bij_betw_r_l @ F @ A5 @ B5 )
% 0.29/0.66 => ( ( member_r @ A @ A5 )
% 0.29/0.66 => ( member_l @ ( F @ A ) @ B5 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % bij_betw_apply
% 0.29/0.66 thf(fact_260_bij__betw__apply,axiom,
% 0.29/0.66 ! [F: l > r,A5: set_l,B5: set_r,A: l] :
% 0.29/0.66 ( ( bij_betw_l_r @ F @ A5 @ B5 )
% 0.29/0.66 => ( ( member_l @ A @ A5 )
% 0.29/0.66 => ( member_r @ ( F @ A ) @ B5 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % bij_betw_apply
% 0.29/0.66 thf(fact_261_bij__betw__apply,axiom,
% 0.29/0.66 ! [F: r > r,A5: set_r,B5: set_r,A: r] :
% 0.29/0.66 ( ( bij_betw_r_r @ F @ A5 @ B5 )
% 0.29/0.66 => ( ( member_r @ A @ A5 )
% 0.29/0.66 => ( member_r @ ( F @ A ) @ B5 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % bij_betw_apply
% 0.29/0.66 thf(fact_262_bij__betw__apply,axiom,
% 0.29/0.66 ! [F: l > l,A5: set_l,B5: set_l,A: l] :
% 0.29/0.66 ( ( bij_betw_l_l @ F @ A5 @ B5 )
% 0.29/0.66 => ( ( member_l @ A @ A5 )
% 0.29/0.66 => ( member_l @ ( F @ A ) @ B5 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % bij_betw_apply
% 0.29/0.66 thf(fact_263_bij__betw__iff__bijections,axiom,
% 0.29/0.66 ( bij_betw_l_r
% 0.29/0.66 = ( ^ [F2: l > r,A7: set_l,B6: set_r] :
% 0.29/0.66 ? [G2: r > l] :
% 0.29/0.66 ( ! [X2: l] :
% 0.29/0.66 ( ( member_l @ X2 @ A7 )
% 0.29/0.66 => ( ( member_r @ ( F2 @ X2 ) @ B6 )
% 0.29/0.66 & ( ( G2 @ ( F2 @ X2 ) )
% 0.29/0.66 = X2 ) ) )
% 0.29/0.66 & ! [X2: r] :
% 0.29/0.66 ( ( member_r @ X2 @ B6 )
% 0.29/0.66 => ( ( member_l @ ( G2 @ X2 ) @ A7 )
% 0.29/0.66 & ( ( F2 @ ( G2 @ X2 ) )
% 0.29/0.66 = X2 ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % bij_betw_iff_bijections
% 0.29/0.66 thf(fact_264_bij__betw__iff__bijections,axiom,
% 0.29/0.66 ( bij_betw_r_l
% 0.29/0.66 = ( ^ [F2: r > l,A7: set_r,B6: set_l] :
% 0.29/0.66 ? [G2: l > r] :
% 0.29/0.66 ( ! [X2: r] :
% 0.29/0.66 ( ( member_r @ X2 @ A7 )
% 0.29/0.66 => ( ( member_l @ ( F2 @ X2 ) @ B6 )
% 0.29/0.66 & ( ( G2 @ ( F2 @ X2 ) )
% 0.29/0.66 = X2 ) ) )
% 0.29/0.66 & ! [X2: l] :
% 0.29/0.66 ( ( member_l @ X2 @ B6 )
% 0.29/0.66 => ( ( member_r @ ( G2 @ X2 ) @ A7 )
% 0.29/0.66 & ( ( F2 @ ( G2 @ X2 ) )
% 0.29/0.66 = X2 ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % bij_betw_iff_bijections
% 0.29/0.66 thf(fact_265_bij__betw__iff__bijections,axiom,
% 0.29/0.66 ( bij_betw_r_r
% 0.29/0.66 = ( ^ [F2: r > r,A7: set_r,B6: set_r] :
% 0.29/0.66 ? [G2: r > r] :
% 0.29/0.66 ( ! [X2: r] :
% 0.29/0.66 ( ( member_r @ X2 @ A7 )
% 0.29/0.66 => ( ( member_r @ ( F2 @ X2 ) @ B6 )
% 0.29/0.66 & ( ( G2 @ ( F2 @ X2 ) )
% 0.29/0.66 = X2 ) ) )
% 0.29/0.66 & ! [X2: r] :
% 0.29/0.66 ( ( member_r @ X2 @ B6 )
% 0.29/0.66 => ( ( member_r @ ( G2 @ X2 ) @ A7 )
% 0.29/0.66 & ( ( F2 @ ( G2 @ X2 ) )
% 0.29/0.66 = X2 ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % bij_betw_iff_bijections
% 0.29/0.66 thf(fact_266_bij__betw__iff__bijections,axiom,
% 0.29/0.66 ( bij_betw_l_l
% 0.29/0.66 = ( ^ [F2: l > l,A7: set_l,B6: set_l] :
% 0.29/0.66 ? [G2: l > l] :
% 0.29/0.66 ( ! [X2: l] :
% 0.29/0.66 ( ( member_l @ X2 @ A7 )
% 0.29/0.66 => ( ( member_l @ ( F2 @ X2 ) @ B6 )
% 0.29/0.66 & ( ( G2 @ ( F2 @ X2 ) )
% 0.29/0.66 = X2 ) ) )
% 0.29/0.66 & ! [X2: l] :
% 0.29/0.66 ( ( member_l @ X2 @ B6 )
% 0.29/0.66 => ( ( member_l @ ( G2 @ X2 ) @ A7 )
% 0.29/0.66 & ( ( F2 @ ( G2 @ X2 ) )
% 0.29/0.66 = X2 ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % bij_betw_iff_bijections
% 0.29/0.66 thf(fact_267_eq__statesE,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v,S2: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( eq_states_r_l_v @ S @ S2 )
% 0.29/0.66 => ~ ! [Alpha: r > r,Beta: l > l] :
% 0.29/0.66 ( ( ( r_G_r_l_v @ Alpha @ Beta @ S )
% 0.29/0.66 = S2 )
% 0.29/0.66 => ( ( bij_betw_r_r @ Alpha @ top_top_set_r @ top_top_set_r )
% 0.29/0.66 => ~ ( bij_betw_l_l @ Beta @ top_top_set_l @ top_top_set_l ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % eq_statesE
% 0.29/0.66 thf(fact_268_eq__states__def,axiom,
% 0.29/0.66 ( eq_states_r_l_v
% 0.29/0.66 = ( ^ [S5: r > option1457017436_r_l_v,S3: r > option1457017436_r_l_v] :
% 0.29/0.66 ? [Alpha3: r > r,Beta3: l > l] :
% 0.29/0.66 ( ( bij_betw_r_r @ Alpha3 @ top_top_set_r @ top_top_set_r )
% 0.29/0.66 & ( bij_betw_l_l @ Beta3 @ top_top_set_l @ top_top_set_l )
% 0.29/0.66 & ( ( r_G_r_l_v @ Alpha3 @ Beta3 @ S5 )
% 0.29/0.66 = S3 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % eq_states_def
% 0.29/0.66 thf(fact_269_substitution_Oin__renamed__in__unlabelled__global_I1_J,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,Alpha2: r > r,Beta2: l > l,R: r,S: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( bij_betw_r_r @ Alpha2 @ top_top_set_r @ top_top_set_r )
% 0.29/0.66 => ( ( bij_betw_l_l @ Beta2 @ top_top_set_l @ top_top_set_l )
% 0.29/0.66 => ( ( member_r @ ( Alpha2 @ R ) @ ( rID_G_r_l_v @ ( r_G_r_l_v @ Alpha2 @ Beta2 @ S ) ) )
% 0.29/0.66 = ( member_r @ R @ ( rID_G_r_l_v @ S ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.in_renamed_in_unlabelled_global(1)
% 0.29/0.66 thf(fact_270_not__finite__existsD,axiom,
% 0.29/0.66 ! [P: r > $o] :
% 0.29/0.66 ( ~ ( finite_finite_r @ ( collect_r @ P ) )
% 0.29/0.66 => ? [X_1: r] : ( P @ X_1 ) ) ).
% 0.29/0.66
% 0.29/0.66 % not_finite_existsD
% 0.29/0.66 thf(fact_271_not__finite__existsD,axiom,
% 0.29/0.66 ! [P: l > $o] :
% 0.29/0.66 ( ~ ( finite_finite_l @ ( collect_l @ P ) )
% 0.29/0.66 => ? [X_1: l] : ( P @ X_1 ) ) ).
% 0.29/0.66
% 0.29/0.66 % not_finite_existsD
% 0.29/0.66 thf(fact_272_pigeonhole__infinite__rel,axiom,
% 0.29/0.66 ! [A5: set_r,B5: set_r,R7: r > r > $o] :
% 0.29/0.66 ( ~ ( finite_finite_r @ A5 )
% 0.29/0.66 => ( ( finite_finite_r @ B5 )
% 0.29/0.66 => ( ! [X3: r] :
% 0.29/0.66 ( ( member_r @ X3 @ A5 )
% 0.29/0.66 => ? [Xa2: r] :
% 0.29/0.66 ( ( member_r @ Xa2 @ B5 )
% 0.29/0.66 & ( R7 @ X3 @ Xa2 ) ) )
% 0.29/0.66 => ? [X3: r] :
% 0.29/0.66 ( ( member_r @ X3 @ B5 )
% 0.29/0.66 & ~ ( finite_finite_r
% 0.29/0.66 @ ( collect_r
% 0.29/0.66 @ ^ [A4: r] :
% 0.29/0.66 ( ( member_r @ A4 @ A5 )
% 0.29/0.66 & ( R7 @ A4 @ X3 ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pigeonhole_infinite_rel
% 0.29/0.66 thf(fact_273_pigeonhole__infinite__rel,axiom,
% 0.29/0.66 ! [A5: set_r,B5: set_l,R7: r > l > $o] :
% 0.29/0.66 ( ~ ( finite_finite_r @ A5 )
% 0.29/0.66 => ( ( finite_finite_l @ B5 )
% 0.29/0.66 => ( ! [X3: r] :
% 0.29/0.66 ( ( member_r @ X3 @ A5 )
% 0.29/0.66 => ? [Xa2: l] :
% 0.29/0.66 ( ( member_l @ Xa2 @ B5 )
% 0.29/0.66 & ( R7 @ X3 @ Xa2 ) ) )
% 0.29/0.66 => ? [X3: l] :
% 0.29/0.66 ( ( member_l @ X3 @ B5 )
% 0.29/0.66 & ~ ( finite_finite_r
% 0.29/0.66 @ ( collect_r
% 0.29/0.66 @ ^ [A4: r] :
% 0.29/0.66 ( ( member_r @ A4 @ A5 )
% 0.29/0.66 & ( R7 @ A4 @ X3 ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pigeonhole_infinite_rel
% 0.29/0.66 thf(fact_274_pigeonhole__infinite__rel,axiom,
% 0.29/0.66 ! [A5: set_l,B5: set_r,R7: l > r > $o] :
% 0.29/0.66 ( ~ ( finite_finite_l @ A5 )
% 0.29/0.66 => ( ( finite_finite_r @ B5 )
% 0.29/0.66 => ( ! [X3: l] :
% 0.29/0.66 ( ( member_l @ X3 @ A5 )
% 0.29/0.66 => ? [Xa2: r] :
% 0.29/0.66 ( ( member_r @ Xa2 @ B5 )
% 0.29/0.66 & ( R7 @ X3 @ Xa2 ) ) )
% 0.29/0.66 => ? [X3: r] :
% 0.29/0.66 ( ( member_r @ X3 @ B5 )
% 0.29/0.66 & ~ ( finite_finite_l
% 0.29/0.66 @ ( collect_l
% 0.29/0.66 @ ^ [A4: l] :
% 0.29/0.66 ( ( member_l @ A4 @ A5 )
% 0.29/0.66 & ( R7 @ A4 @ X3 ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pigeonhole_infinite_rel
% 0.29/0.66 thf(fact_275_pigeonhole__infinite__rel,axiom,
% 0.29/0.66 ! [A5: set_l,B5: set_l,R7: l > l > $o] :
% 0.29/0.66 ( ~ ( finite_finite_l @ A5 )
% 0.29/0.66 => ( ( finite_finite_l @ B5 )
% 0.29/0.66 => ( ! [X3: l] :
% 0.29/0.66 ( ( member_l @ X3 @ A5 )
% 0.29/0.66 => ? [Xa2: l] :
% 0.29/0.66 ( ( member_l @ Xa2 @ B5 )
% 0.29/0.66 & ( R7 @ X3 @ Xa2 ) ) )
% 0.29/0.66 => ? [X3: l] :
% 0.29/0.66 ( ( member_l @ X3 @ B5 )
% 0.29/0.66 & ~ ( finite_finite_l
% 0.29/0.66 @ ( collect_l
% 0.29/0.66 @ ^ [A4: l] :
% 0.29/0.66 ( ( member_l @ A4 @ A5 )
% 0.29/0.66 & ( R7 @ A4 @ X3 ) ) ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % pigeonhole_infinite_rel
% 0.29/0.66 thf(fact_276_finite__Prod__UNIV,axiom,
% 0.29/0.66 ( ( finite_finite_r @ top_top_set_r )
% 0.29/0.66 => ( ( finite_finite_r @ top_top_set_r )
% 0.29/0.66 => ( finite1507191824od_r_r @ top_to2034696215od_r_r ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Prod_UNIV
% 0.29/0.66 thf(fact_277_finite__Prod__UNIV,axiom,
% 0.29/0.66 ( ( finite_finite_r @ top_top_set_r )
% 0.29/0.66 => ( ( finite_finite_l @ top_top_set_l )
% 0.29/0.66 => ( finite1457622794od_r_l @ top_to1639761425od_r_l ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Prod_UNIV
% 0.29/0.66 thf(fact_278_finite__Prod__UNIV,axiom,
% 0.29/0.66 ( ( finite_finite_l @ top_top_set_l )
% 0.29/0.66 => ( ( finite_finite_r @ top_top_set_r )
% 0.29/0.66 => ( finite835542678od_l_r @ top_to715231133od_l_r ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Prod_UNIV
% 0.29/0.66 thf(fact_279_finite__Prod__UNIV,axiom,
% 0.29/0.66 ( ( finite_finite_l @ top_top_set_l )
% 0.29/0.66 => ( ( finite_finite_l @ top_top_set_l )
% 0.29/0.66 => ( finite785973648od_l_l @ top_to320296343od_l_l ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Prod_UNIV
% 0.29/0.66 thf(fact_280_ex__new__if__finite,axiom,
% 0.29/0.66 ! [A5: set_r] :
% 0.29/0.66 ( ~ ( finite_finite_r @ top_top_set_r )
% 0.29/0.66 => ( ( finite_finite_r @ A5 )
% 0.29/0.66 => ? [A3: r] :
% 0.29/0.66 ~ ( member_r @ A3 @ A5 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % ex_new_if_finite
% 0.29/0.66 thf(fact_281_ex__new__if__finite,axiom,
% 0.29/0.66 ! [A5: set_l] :
% 0.29/0.66 ( ~ ( finite_finite_l @ top_top_set_l )
% 0.29/0.66 => ( ( finite_finite_l @ A5 )
% 0.29/0.66 => ? [A3: l] :
% 0.29/0.66 ~ ( member_l @ A3 @ A5 ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % ex_new_if_finite
% 0.29/0.66 thf(fact_282_finite__prod,axiom,
% 0.29/0.66 ( ( finite1507191824od_r_r @ top_to2034696215od_r_r )
% 0.29/0.66 = ( ( finite_finite_r @ top_top_set_r )
% 0.29/0.66 & ( finite_finite_r @ top_top_set_r ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_prod
% 0.29/0.66 thf(fact_283_finite__prod,axiom,
% 0.29/0.66 ( ( finite1457622794od_r_l @ top_to1639761425od_r_l )
% 0.29/0.66 = ( ( finite_finite_r @ top_top_set_r )
% 0.29/0.66 & ( finite_finite_l @ top_top_set_l ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_prod
% 0.29/0.66 thf(fact_284_finite__prod,axiom,
% 0.29/0.66 ( ( finite835542678od_l_r @ top_to715231133od_l_r )
% 0.29/0.66 = ( ( finite_finite_l @ top_top_set_l )
% 0.29/0.66 & ( finite_finite_r @ top_top_set_r ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_prod
% 0.29/0.66 thf(fact_285_finite__prod,axiom,
% 0.29/0.66 ( ( finite785973648od_l_l @ top_to320296343od_l_l )
% 0.29/0.66 = ( ( finite_finite_l @ top_top_set_l )
% 0.29/0.66 & ( finite_finite_l @ top_top_set_l ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_prod
% 0.29/0.66 thf(fact_286_Finite__Set_Ofinite__set,axiom,
% 0.29/0.66 ( ( finite_finite_set_r @ top_top_set_set_r )
% 0.29/0.66 = ( finite_finite_r @ top_top_set_r ) ) ).
% 0.29/0.66
% 0.29/0.66 % Finite_Set.finite_set
% 0.29/0.66 thf(fact_287_Finite__Set_Ofinite__set,axiom,
% 0.29/0.66 ( ( finite_finite_set_l @ top_top_set_set_l )
% 0.29/0.66 = ( finite_finite_l @ top_top_set_l ) ) ).
% 0.29/0.66
% 0.29/0.66 % Finite_Set.finite_set
% 0.29/0.66 thf(fact_288_substitution_Ostep__preserves___092_060S_062_092_060_094sub_062G__and___092_060A_062_092_060_094sub_062G_I1_J,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,R: r,S: r > option1457017436_r_l_v,S2: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( revision_step_r_l_v @ Subst @ R @ S @ S2 )
% 0.29/0.66 => ( ( domain1547879849_r_l_v @ S )
% 0.29/0.66 => ( ( subsum680764357_r_l_v @ S )
% 0.29/0.66 => ( domain1547879849_r_l_v @ S2 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.step_preserves_\<S>\<^sub>G_and_\<A>\<^sub>G(1)
% 0.29/0.66 thf(fact_289_substitution_Ostep__preserves___092_060S_062_092_060_094sub_062G__and___092_060A_062_092_060_094sub_062G_I2_J,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,R: r,S: r > option1457017436_r_l_v,S2: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( revision_step_r_l_v @ Subst @ R @ S @ S2 )
% 0.29/0.66 => ( ( domain1547879849_r_l_v @ S )
% 0.29/0.66 => ( ( subsum680764357_r_l_v @ S )
% 0.29/0.66 => ( subsum680764357_r_l_v @ S2 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.step_preserves_\<S>\<^sub>G_and_\<A>\<^sub>G(2)
% 0.29/0.66 thf(fact_290_finite__update__induct,axiom,
% 0.29/0.66 ! [F: r > option1457017436_r_l_v,C: option1457017436_r_l_v,P: ( r > option1457017436_r_l_v ) > $o] :
% 0.29/0.66 ( ( finite_finite_r
% 0.29/0.66 @ ( collect_r
% 0.29/0.66 @ ^ [A4: r] :
% 0.29/0.66 ( ( F @ A4 )
% 0.29/0.66 != C ) ) )
% 0.29/0.66 => ( ( P
% 0.29/0.66 @ ^ [A4: r] : C )
% 0.29/0.66 => ( ! [A3: r,B3: option1457017436_r_l_v,F3: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( finite_finite_r
% 0.29/0.66 @ ( collect_r
% 0.29/0.66 @ ^ [C3: r] :
% 0.29/0.66 ( ( F3 @ C3 )
% 0.29/0.66 != C ) ) )
% 0.29/0.66 => ( ( ( F3 @ A3 )
% 0.29/0.66 = C )
% 0.29/0.66 => ( ( B3 != C )
% 0.29/0.66 => ( ( P @ F3 )
% 0.29/0.66 => ( P @ ( fun_up709272714_r_l_v @ F3 @ A3 @ B3 ) ) ) ) ) )
% 0.29/0.66 => ( P @ F ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_update_induct
% 0.29/0.66 thf(fact_291_finite__update__induct,axiom,
% 0.29/0.66 ! [F: l > option_val_r_l_v,C: option_val_r_l_v,P: ( l > option_val_r_l_v ) > $o] :
% 0.29/0.66 ( ( finite_finite_l
% 0.29/0.66 @ ( collect_l
% 0.29/0.66 @ ^ [A4: l] :
% 0.29/0.66 ( ( F @ A4 )
% 0.29/0.66 != C ) ) )
% 0.29/0.66 => ( ( P
% 0.29/0.66 @ ^ [A4: l] : C )
% 0.29/0.66 => ( ! [A3: l,B3: option_val_r_l_v,F3: l > option_val_r_l_v] :
% 0.29/0.66 ( ( finite_finite_l
% 0.29/0.66 @ ( collect_l
% 0.29/0.66 @ ^ [C3: l] :
% 0.29/0.66 ( ( F3 @ C3 )
% 0.29/0.66 != C ) ) )
% 0.29/0.66 => ( ( ( F3 @ A3 )
% 0.29/0.66 = C )
% 0.29/0.66 => ( ( B3 != C )
% 0.29/0.66 => ( ( P @ F3 )
% 0.29/0.66 => ( P @ ( fun_up1835647912_r_l_v @ F3 @ A3 @ B3 ) ) ) ) ) )
% 0.29/0.66 => ( P @ F ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_update_induct
% 0.29/0.66 thf(fact_292_substitution_Onice__ind__inv__is__inductive__invariant,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( induct1670415253_r_l_v @ Subst
% 0.29/0.66 @ ^ [S5: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( domain1547879849_r_l_v @ S5 )
% 0.29/0.66 & ( subsum680764357_r_l_v @ S5 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.nice_ind_inv_is_inductive_invariant
% 0.29/0.66 thf(fact_293_substitution_Odomains__subsume__globally__def,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( domain1547879849_r_l_v @ S )
% 0.29/0.66 = ( ! [R6: r,Ls2: produc1156025366_r_l_v] :
% 0.29/0.66 ( ( ( S @ R6 )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ Ls2 ) )
% 0.29/0.66 => ( domain87684397_l_r_v @ Ls2 ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.domains_subsume_globally_def
% 0.29/0.66 thf(fact_294_substitution_Odomains__subsume__globallyI,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ! [R5: r,Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v,E3: expr_r_l_v] :
% 0.29/0.66 ( ( ( S @ R5 )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) ) )
% 0.29/0.66 => ( domain87684397_l_r_v @ ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) ) )
% 0.29/0.66 => ( domain1547879849_r_l_v @ S ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.domains_subsume_globallyI
% 0.29/0.66 thf(fact_295__092_060R_062_092_060_094sub_062GI,axiom,
% 0.29/0.66 ! [Alpha2: r > r,S: r > option1457017436_r_l_v,S2: r > option1457017436_r_l_v,Beta2: l > l] :
% 0.29/0.66 ( ( bij_betw_r_r @ Alpha2 @ top_top_set_r @ top_top_set_r )
% 0.29/0.66 => ( ! [R5: r] :
% 0.29/0.66 ( ( ( S @ R5 )
% 0.29/0.66 = none_P277133687_r_l_v )
% 0.29/0.66 => ( ( S2 @ ( Alpha2 @ R5 ) )
% 0.29/0.66 = none_P277133687_r_l_v ) )
% 0.29/0.66 => ( ! [R5: r,Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v,E3: expr_r_l_v] :
% 0.29/0.66 ( ( ( S @ R5 )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) ) )
% 0.29/0.66 => ( ( S2 @ ( Alpha2 @ R5 ) )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( r_L_r_l_v @ Alpha2 @ Beta2 @ ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ E3 ) ) ) ) ) )
% 0.29/0.66 => ( ( r_G_r_l_v @ Alpha2 @ Beta2 @ S )
% 0.29/0.66 = S2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % \<R>\<^sub>GI
% 0.29/0.66 thf(fact_296_substitution_Osubsumes__accessible__globallyI,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ! [R_1: r,Sigma_1: l > option_val_r_l_v,Tau_1: l > option_val_r_l_v,E_1: expr_r_l_v,R_2: r,Sigma_2: l > option_val_r_l_v,Tau_2: l > option_val_r_l_v,E_2: expr_r_l_v] :
% 0.29/0.66 ( ( ( S @ R_1 )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma_1 @ ( produc1834103605_r_l_v @ Tau_1 @ E_1 ) ) ) )
% 0.29/0.66 => ( ( ( S @ R_2 )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma_2 @ ( produc1834103605_r_l_v @ Tau_2 @ E_2 ) ) ) )
% 0.29/0.66 => ( subsum148050133_r_l_v @ R_1 @ R_2 @ S ) ) )
% 0.29/0.66 => ( subsum680764357_r_l_v @ S ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.subsumes_accessible_globallyI
% 0.29/0.66 thf(fact_297__092_060R_062_092_060_094sub_062G__implements__renaming,axiom,
% 0.29/0.66 ! [Alpha2: r > r,Beta2: l > l,S: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( bij_betw_r_r @ Alpha2 @ top_top_set_r @ top_top_set_r )
% 0.29/0.66 => ( is_glo1871033385_r_l_v @ Alpha2 @ Beta2 @ S @ ( r_G_r_l_v @ Alpha2 @ Beta2 @ S ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % \<R>\<^sub>G_implements_renaming
% 0.29/0.66 thf(fact_298_subsumes__accessible__globallyI,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ! [R_1: r,Sigma_1: l > option_val_r_l_v,Tau_1: l > option_val_r_l_v,E_1: expr_r_l_v,R_2: r,Sigma_2: l > option_val_r_l_v,Tau_2: l > option_val_r_l_v,E_2: expr_r_l_v] :
% 0.29/0.66 ( ( ( S @ R_1 )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma_1 @ ( produc1834103605_r_l_v @ Tau_1 @ E_1 ) ) ) )
% 0.29/0.66 => ( ( ( S @ R_2 )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma_2 @ ( produc1834103605_r_l_v @ Tau_2 @ E_2 ) ) ) )
% 0.29/0.66 => ( subsum148050133_r_l_v @ R_1 @ R_2 @ S ) ) )
% 0.29/0.66 => ( subsum680764357_r_l_v @ S ) ) ).
% 0.29/0.66
% 0.29/0.66 % subsumes_accessible_globallyI
% 0.29/0.66 thf(fact_299_renaming__distr__global_I1_J,axiom,
% 0.29/0.66 ! [Alpha2: r > r,Beta2: l > l,S: r > option1457017436_r_l_v,R: r,Ls: produc1156025366_r_l_v] :
% 0.29/0.66 ( ( bij_betw_r_r @ Alpha2 @ top_top_set_r @ top_top_set_r )
% 0.29/0.66 => ( ( r_G_r_l_v @ Alpha2 @ Beta2 @ ( fun_up709272714_r_l_v @ S @ R @ ( some_P1807977723_r_l_v @ Ls ) ) )
% 0.29/0.66 = ( fun_up709272714_r_l_v @ ( r_G_r_l_v @ Alpha2 @ Beta2 @ S ) @ ( Alpha2 @ R ) @ ( some_P1807977723_r_l_v @ ( r_L_r_l_v @ Alpha2 @ Beta2 @ Ls ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % renaming_distr_global(1)
% 0.29/0.66 thf(fact_300_RID_092_060_094sub_062GI_I2_J,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v,R2: r,Ls: produc1156025366_r_l_v,R: r] :
% 0.29/0.66 ( ( ( S @ R2 )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ Ls ) )
% 0.29/0.66 => ( ( member_r @ R @ ( rID_L_l_r_v @ Ls ) )
% 0.29/0.66 => ( member_r @ R @ ( rID_G_r_l_v @ S ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % RID\<^sub>GI(2)
% 0.29/0.66 thf(fact_301_local__state__of__finite__restricted__global__state__is__finite_I1_J,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v,R2: r,Ls: produc1156025366_r_l_v,R: r] :
% 0.29/0.66 ( ( ( S @ R2 )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ Ls ) )
% 0.29/0.66 => ( ( finite_finite_r @ ( rID_G_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ none_P277133687_r_l_v ) ) )
% 0.29/0.66 => ( ( R != R2 )
% 0.29/0.66 => ( finite_finite_r @ ( rID_L_l_r_v @ Ls ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % local_state_of_finite_restricted_global_state_is_finite(1)
% 0.29/0.66 thf(fact_302_substitution_Olocal__state__of__finite__restricted__global__state__is__finite_I1_J,axiom,
% 0.29/0.66 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v,R2: r,Ls: produc1156025366_r_l_v,R: r] :
% 0.29/0.66 ( ( substitution_r_l_v @ Subst )
% 0.29/0.66 => ( ( ( S @ R2 )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ Ls ) )
% 0.29/0.66 => ( ( finite_finite_r @ ( rID_G_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ none_P277133687_r_l_v ) ) )
% 0.29/0.66 => ( ( R != R2 )
% 0.29/0.66 => ( finite_finite_r @ ( rID_L_l_r_v @ Ls ) ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % substitution.local_state_of_finite_restricted_global_state_is_finite(1)
% 0.29/0.66 thf(fact_303_reachable__imp__identifiers__available_I2_J,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( reachable_r_l_v @ subst @ S )
% 0.29/0.66 => ( ~ ( finite_finite_l @ top_top_set_l )
% 0.29/0.66 => ? [L: l] :
% 0.29/0.66 ~ ( member_l @ L @ ( lID_G_r_l_v @ S ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % reachable_imp_identifiers_available(2)
% 0.29/0.66 thf(fact_304_only__fork__introduces__rids,axiom,
% 0.29/0.66 ! [R: r,S: r > option1457017436_r_l_v,S2: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( revision_step_r_l_v @ subst @ R @ S @ S2 )
% 0.29/0.66 => ( ! [Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v,E5: cntxt_r_l_v,E3: expr_r_l_v] :
% 0.29/0.66 ( ( S @ R )
% 0.29/0.66 != ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ ( plug_r_l_v @ E5 @ ( rfork_r_l_v @ E3 ) ) ) ) ) )
% 0.29/0.66 => ( ord_less_eq_set_r @ ( rID_G_r_l_v @ S2 ) @ ( rID_G_r_l_v @ S ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % only_fork_introduces_rids
% 0.29/0.66 thf(fact_305_empty__map__finite_I4_J,axiom,
% 0.29/0.66 ( finite_finite_l
% 0.29/0.66 @ ( lID_G_r_l_v
% 0.29/0.66 @ ^ [X2: r] : none_P277133687_r_l_v ) ) ).
% 0.29/0.66
% 0.29/0.66 % empty_map_finite(4)
% 0.29/0.66 thf(fact_306_in__renamed__in__unlabelled__global_I2_J,axiom,
% 0.29/0.66 ! [Alpha2: r > r,Beta2: l > l,L2: l,S: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( bij_betw_r_r @ Alpha2 @ top_top_set_r @ top_top_set_r )
% 0.29/0.66 => ( ( bij_betw_l_l @ Beta2 @ top_top_set_l @ top_top_set_l )
% 0.29/0.66 => ( ( member_l @ ( Beta2 @ L2 ) @ ( lID_G_r_l_v @ ( r_G_r_l_v @ Alpha2 @ Beta2 @ S ) ) )
% 0.29/0.66 = ( member_l @ L2 @ ( lID_G_r_l_v @ S ) ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % in_renamed_in_unlabelled_global(2)
% 0.29/0.66 thf(fact_307_RID_092_060_094sub_062L__finite__invariant,axiom,
% 0.29/0.66 ! [R: r,S: r > option1457017436_r_l_v,S2: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( revision_step_r_l_v @ subst @ R @ S @ S2 )
% 0.29/0.66 => ( ( finite_finite_l @ ( lID_G_r_l_v @ S ) )
% 0.29/0.66 => ( finite_finite_l @ ( lID_G_r_l_v @ S2 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % RID\<^sub>L_finite_invariant
% 0.29/0.66 thf(fact_308_reachable__imp__identifiers__finite_I2_J,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v] :
% 0.29/0.66 ( ( reachable_r_l_v @ subst @ S )
% 0.29/0.66 => ( finite_finite_l @ ( lID_G_r_l_v @ S ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % reachable_imp_identifiers_finite(2)
% 0.29/0.66 thf(fact_309_in__restricted__global__in__unrestricted__global_I2_J,axiom,
% 0.29/0.66 ! [L2: l,S: r > option1457017436_r_l_v,R: r] :
% 0.29/0.66 ( ( member_l @ L2 @ ( lID_G_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ none_P277133687_r_l_v ) ) )
% 0.29/0.66 => ( member_l @ L2 @ ( lID_G_r_l_v @ S ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % in_restricted_global_in_unrestricted_global(2)
% 0.29/0.66 thf(fact_310_LID_092_060_094sub_062GI,axiom,
% 0.29/0.66 ! [S: r > option1457017436_r_l_v,R: r,Ls: produc1156025366_r_l_v,L2: l] :
% 0.29/0.66 ( ( ( S @ R )
% 0.29/0.66 = ( some_P1807977723_r_l_v @ Ls ) )
% 0.29/0.66 => ( ( member_l @ L2 @ ( lID_L_l_r_v @ Ls ) )
% 0.29/0.66 => ( member_l @ L2 @ ( lID_G_r_l_v @ S ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % LID\<^sub>GI
% 0.29/0.66 thf(fact_311_finite__Collect__subsets,axiom,
% 0.29/0.66 ! [A5: set_r] :
% 0.29/0.66 ( ( finite_finite_r @ A5 )
% 0.29/0.66 => ( finite_finite_set_r
% 0.29/0.66 @ ( collect_set_r
% 0.29/0.66 @ ^ [B6: set_r] : ( ord_less_eq_set_r @ B6 @ A5 ) ) ) ) ).
% 0.29/0.66
% 0.29/0.66 % finite_Collect_subsets
% 0.29/0.66 thf(fact_312_finite__Collect__subsets,axiom,
% 0.29/0.66 ! [A5: set_l] :
% 0.29/0.66 ( ( finite_finite_l @ A5 )
% 0.29/0.66 => ( finite_finite_set_l
% 0.29/0.66 @ ( collect_set_l
% 0.29/0.67 @ ^ [B6: set_l] : ( ord_less_eq_set_l @ B6 @ A5 ) ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % finite_Collect_subsets
% 0.29/0.67 thf(fact_313_finite__state__imp__restriction__finite_I2_J,axiom,
% 0.29/0.67 ! [S: r > option1457017436_r_l_v,R: r] :
% 0.29/0.67 ( ( finite_finite_l @ ( lID_G_r_l_v @ S ) )
% 0.29/0.67 => ( finite_finite_l @ ( lID_G_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ none_P277133687_r_l_v ) ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % finite_state_imp_restriction_finite(2)
% 0.29/0.67 thf(fact_314_in__restricted__global__in__updated__global_I2_J,axiom,
% 0.29/0.67 ! [L2: l,S: r > option1457017436_r_l_v,R: r,Ls: produc1156025366_r_l_v] :
% 0.29/0.67 ( ( member_l @ L2 @ ( lID_G_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ none_P277133687_r_l_v ) ) )
% 0.29/0.67 => ( member_l @ L2 @ ( lID_G_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ ( some_P1807977723_r_l_v @ Ls ) ) ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % in_restricted_global_in_updated_global(2)
% 0.29/0.67 thf(fact_315_local__state__of__finite__restricted__global__state__is__finite_I2_J,axiom,
% 0.29/0.67 ! [S: r > option1457017436_r_l_v,R2: r,Ls: produc1156025366_r_l_v,R: r] :
% 0.29/0.67 ( ( ( S @ R2 )
% 0.29/0.67 = ( some_P1807977723_r_l_v @ Ls ) )
% 0.29/0.67 => ( ( finite_finite_l @ ( lID_G_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ none_P277133687_r_l_v ) ) )
% 0.29/0.67 => ( ( R != R2 )
% 0.29/0.67 => ( finite_finite_l @ ( lID_L_l_r_v @ Ls ) ) ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % local_state_of_finite_restricted_global_state_is_finite(2)
% 0.29/0.67 thf(fact_316_ID__restricted__global__subset__unrestricted_I1_J,axiom,
% 0.29/0.67 ! [S: r > option1457017436_r_l_v,R: r] : ( ord_less_eq_set_l @ ( lID_G_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ none_P277133687_r_l_v ) ) @ ( lID_G_r_l_v @ S ) ) ).
% 0.29/0.67
% 0.29/0.67 % ID_restricted_global_subset_unrestricted(1)
% 0.29/0.67 thf(fact_317_finite__has__minimal2,axiom,
% 0.29/0.67 ! [A5: set_set_r,A: set_r] :
% 0.29/0.67 ( ( finite_finite_set_r @ A5 )
% 0.29/0.67 => ( ( member_set_r @ A @ A5 )
% 0.29/0.67 => ? [X3: set_r] :
% 0.29/0.67 ( ( member_set_r @ X3 @ A5 )
% 0.29/0.67 & ( ord_less_eq_set_r @ X3 @ A )
% 0.29/0.67 & ! [Xa2: set_r] :
% 0.29/0.67 ( ( member_set_r @ Xa2 @ A5 )
% 0.29/0.67 => ( ( ord_less_eq_set_r @ Xa2 @ X3 )
% 0.29/0.67 => ( X3 = Xa2 ) ) ) ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % finite_has_minimal2
% 0.29/0.67 thf(fact_318_finite__has__minimal2,axiom,
% 0.29/0.67 ! [A5: set_set_l,A: set_l] :
% 0.29/0.67 ( ( finite_finite_set_l @ A5 )
% 0.29/0.67 => ( ( member_set_l @ A @ A5 )
% 0.29/0.67 => ? [X3: set_l] :
% 0.29/0.67 ( ( member_set_l @ X3 @ A5 )
% 0.29/0.67 & ( ord_less_eq_set_l @ X3 @ A )
% 0.29/0.67 & ! [Xa2: set_l] :
% 0.29/0.67 ( ( member_set_l @ Xa2 @ A5 )
% 0.29/0.67 => ( ( ord_less_eq_set_l @ Xa2 @ X3 )
% 0.29/0.67 => ( X3 = Xa2 ) ) ) ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % finite_has_minimal2
% 0.29/0.67 thf(fact_319_finite__has__maximal2,axiom,
% 0.29/0.67 ! [A5: set_set_r,A: set_r] :
% 0.29/0.67 ( ( finite_finite_set_r @ A5 )
% 0.29/0.67 => ( ( member_set_r @ A @ A5 )
% 0.29/0.67 => ? [X3: set_r] :
% 0.29/0.67 ( ( member_set_r @ X3 @ A5 )
% 0.29/0.67 & ( ord_less_eq_set_r @ A @ X3 )
% 0.29/0.67 & ! [Xa2: set_r] :
% 0.29/0.67 ( ( member_set_r @ Xa2 @ A5 )
% 0.29/0.67 => ( ( ord_less_eq_set_r @ X3 @ Xa2 )
% 0.29/0.67 => ( X3 = Xa2 ) ) ) ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % finite_has_maximal2
% 0.29/0.67 thf(fact_320_finite__has__maximal2,axiom,
% 0.29/0.67 ! [A5: set_set_l,A: set_l] :
% 0.29/0.67 ( ( finite_finite_set_l @ A5 )
% 0.29/0.67 => ( ( member_set_l @ A @ A5 )
% 0.29/0.67 => ? [X3: set_l] :
% 0.29/0.67 ( ( member_set_l @ X3 @ A5 )
% 0.29/0.67 & ( ord_less_eq_set_l @ A @ X3 )
% 0.29/0.67 & ! [Xa2: set_l] :
% 0.29/0.67 ( ( member_set_l @ Xa2 @ A5 )
% 0.29/0.67 => ( ( ord_less_eq_set_l @ X3 @ Xa2 )
% 0.29/0.67 => ( X3 = Xa2 ) ) ) ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % finite_has_maximal2
% 0.29/0.67 thf(fact_321_rev__finite__subset,axiom,
% 0.29/0.67 ! [B5: set_r,A5: set_r] :
% 0.29/0.67 ( ( finite_finite_r @ B5 )
% 0.29/0.67 => ( ( ord_less_eq_set_r @ A5 @ B5 )
% 0.29/0.67 => ( finite_finite_r @ A5 ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % rev_finite_subset
% 0.29/0.67 thf(fact_322_rev__finite__subset,axiom,
% 0.29/0.67 ! [B5: set_l,A5: set_l] :
% 0.29/0.67 ( ( finite_finite_l @ B5 )
% 0.29/0.67 => ( ( ord_less_eq_set_l @ A5 @ B5 )
% 0.29/0.67 => ( finite_finite_l @ A5 ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % rev_finite_subset
% 0.29/0.67 thf(fact_323_infinite__super,axiom,
% 0.29/0.67 ! [S6: set_r,T2: set_r] :
% 0.29/0.67 ( ( ord_less_eq_set_r @ S6 @ T2 )
% 0.29/0.67 => ( ~ ( finite_finite_r @ S6 )
% 0.29/0.67 => ~ ( finite_finite_r @ T2 ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % infinite_super
% 0.29/0.67 thf(fact_324_infinite__super,axiom,
% 0.29/0.67 ! [S6: set_l,T2: set_l] :
% 0.29/0.67 ( ( ord_less_eq_set_l @ S6 @ T2 )
% 0.29/0.67 => ( ~ ( finite_finite_l @ S6 )
% 0.29/0.67 => ~ ( finite_finite_l @ T2 ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % infinite_super
% 0.29/0.67 thf(fact_325_finite__subset,axiom,
% 0.29/0.67 ! [A5: set_r,B5: set_r] :
% 0.29/0.67 ( ( ord_less_eq_set_r @ A5 @ B5 )
% 0.29/0.67 => ( ( finite_finite_r @ B5 )
% 0.29/0.67 => ( finite_finite_r @ A5 ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % finite_subset
% 0.29/0.67 thf(fact_326_finite__subset,axiom,
% 0.29/0.67 ! [A5: set_l,B5: set_l] :
% 0.29/0.67 ( ( ord_less_eq_set_l @ A5 @ B5 )
% 0.29/0.67 => ( ( finite_finite_l @ B5 )
% 0.29/0.67 => ( finite_finite_l @ A5 ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % finite_subset
% 0.29/0.67 thf(fact_327_LID_092_060_094sub_062GE,axiom,
% 0.29/0.67 ! [L2: l,S: r > option1457017436_r_l_v] :
% 0.29/0.67 ( ( member_l @ L2 @ ( lID_G_r_l_v @ S ) )
% 0.29/0.67 => ~ ! [R5: r,Ls3: produc1156025366_r_l_v] :
% 0.29/0.67 ( ( ( S @ R5 )
% 0.29/0.67 = ( some_P1807977723_r_l_v @ Ls3 ) )
% 0.29/0.67 => ~ ( member_l @ L2 @ ( lID_L_l_r_v @ Ls3 ) ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % LID\<^sub>GE
% 0.29/0.67 thf(fact_328_substitution_ORID_092_060_094sub_062L__finite__invariant,axiom,
% 0.29/0.67 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,R: r,S: r > option1457017436_r_l_v,S2: r > option1457017436_r_l_v] :
% 0.29/0.67 ( ( substitution_r_l_v @ Subst )
% 0.29/0.67 => ( ( revision_step_r_l_v @ Subst @ R @ S @ S2 )
% 0.29/0.67 => ( ( finite_finite_l @ ( lID_G_r_l_v @ S ) )
% 0.29/0.67 => ( finite_finite_l @ ( lID_G_r_l_v @ S2 ) ) ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % substitution.RID\<^sub>L_finite_invariant
% 0.29/0.67 thf(fact_329_ID__restricted__global__subset__unrestricted_I2_J,axiom,
% 0.29/0.67 ! [S: r > option1457017436_r_l_v,R: r] : ( ord_less_eq_set_r @ ( rID_G_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ none_P277133687_r_l_v ) ) @ ( rID_G_r_l_v @ S ) ) ).
% 0.29/0.67
% 0.29/0.67 % ID_restricted_global_subset_unrestricted(2)
% 0.29/0.67 thf(fact_330_substitution_Oreachable__imp__identifiers__finite_I2_J,axiom,
% 0.29/0.67 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v] :
% 0.29/0.67 ( ( substitution_r_l_v @ Subst )
% 0.29/0.67 => ( ( reachable_r_l_v @ Subst @ S )
% 0.29/0.67 => ( finite_finite_l @ ( lID_G_r_l_v @ S ) ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % substitution.reachable_imp_identifiers_finite(2)
% 0.29/0.67 thf(fact_331_substitution_Oempty__map__finite_I4_J,axiom,
% 0.29/0.67 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v] :
% 0.29/0.67 ( ( substitution_r_l_v @ Subst )
% 0.29/0.67 => ( finite_finite_l
% 0.29/0.67 @ ( lID_G_r_l_v
% 0.29/0.67 @ ^ [X2: r] : none_P277133687_r_l_v ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % substitution.empty_map_finite(4)
% 0.29/0.67 thf(fact_332_substitution_Oreachable__imp__identifiers__available_I2_J,axiom,
% 0.29/0.67 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v] :
% 0.29/0.67 ( ( substitution_r_l_v @ Subst )
% 0.29/0.67 => ( ( reachable_r_l_v @ Subst @ S )
% 0.29/0.67 => ( ~ ( finite_finite_l @ top_top_set_l )
% 0.29/0.67 => ? [L: l] :
% 0.29/0.67 ~ ( member_l @ L @ ( lID_G_r_l_v @ S ) ) ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % substitution.reachable_imp_identifiers_available(2)
% 0.29/0.67 thf(fact_333_substitution_Ofinite__state__imp__restriction__finite_I2_J,axiom,
% 0.29/0.67 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v,R: r] :
% 0.29/0.67 ( ( substitution_r_l_v @ Subst )
% 0.29/0.67 => ( ( finite_finite_l @ ( lID_G_r_l_v @ S ) )
% 0.29/0.67 => ( finite_finite_l @ ( lID_G_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ none_P277133687_r_l_v ) ) ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % substitution.finite_state_imp_restriction_finite(2)
% 0.29/0.67 thf(fact_334_substitution_Oin__renamed__in__unlabelled__global_I2_J,axiom,
% 0.29/0.67 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,Alpha2: r > r,Beta2: l > l,L2: l,S: r > option1457017436_r_l_v] :
% 0.29/0.67 ( ( substitution_r_l_v @ Subst )
% 0.29/0.67 => ( ( bij_betw_r_r @ Alpha2 @ top_top_set_r @ top_top_set_r )
% 0.29/0.67 => ( ( bij_betw_l_l @ Beta2 @ top_top_set_l @ top_top_set_l )
% 0.29/0.67 => ( ( member_l @ ( Beta2 @ L2 ) @ ( lID_G_r_l_v @ ( r_G_r_l_v @ Alpha2 @ Beta2 @ S ) ) )
% 0.29/0.67 = ( member_l @ L2 @ ( lID_G_r_l_v @ S ) ) ) ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % substitution.in_renamed_in_unlabelled_global(2)
% 0.29/0.67 thf(fact_335_substitution_Olocal__state__of__finite__restricted__global__state__is__finite_I2_J,axiom,
% 0.29/0.67 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v,R2: r,Ls: produc1156025366_r_l_v,R: r] :
% 0.29/0.67 ( ( substitution_r_l_v @ Subst )
% 0.29/0.67 => ( ( ( S @ R2 )
% 0.29/0.67 = ( some_P1807977723_r_l_v @ Ls ) )
% 0.29/0.67 => ( ( finite_finite_l @ ( lID_G_r_l_v @ ( fun_up709272714_r_l_v @ S @ R @ none_P277133687_r_l_v ) ) )
% 0.29/0.67 => ( ( R != R2 )
% 0.29/0.67 => ( finite_finite_l @ ( lID_L_l_r_v @ Ls ) ) ) ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % substitution.local_state_of_finite_restricted_global_state_is_finite(2)
% 0.29/0.67 thf(fact_336_substitution_Oonly__fork__introduces__rids,axiom,
% 0.29/0.67 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,R: r,S: r > option1457017436_r_l_v,S2: r > option1457017436_r_l_v] :
% 0.29/0.67 ( ( substitution_r_l_v @ Subst )
% 0.29/0.67 => ( ( revision_step_r_l_v @ Subst @ R @ S @ S2 )
% 0.29/0.67 => ( ! [Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v,E5: cntxt_r_l_v,E3: expr_r_l_v] :
% 0.29/0.67 ( ( S @ R )
% 0.29/0.67 != ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ ( plug_r_l_v @ E5 @ ( rfork_r_l_v @ E3 ) ) ) ) ) )
% 0.29/0.67 => ( ord_less_eq_set_r @ ( rID_G_r_l_v @ S2 ) @ ( rID_G_r_l_v @ S ) ) ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % substitution.only_fork_introduces_rids
% 0.29/0.67 thf(fact_337_only__new__introduces__lids_H,axiom,
% 0.29/0.67 ! [R: r,S: r > option1457017436_r_l_v,S2: r > option1457017436_r_l_v,L2: l] :
% 0.29/0.67 ( ( revision_step_r_l_v @ subst @ R @ S @ S2 )
% 0.29/0.67 => ( ! [Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v,E5: cntxt_r_l_v,V2: val_r_l_v] :
% 0.29/0.67 ( ( S @ R )
% 0.29/0.67 != ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ ( plug_r_l_v @ E5 @ ( ref_r_l_v @ ( vE_r_l_v @ V2 ) ) ) ) ) ) )
% 0.29/0.67 => ( ~ ( member_l @ L2 @ ( lID_G_r_l_v @ S ) )
% 0.29/0.67 => ~ ( member_l @ L2 @ ( lID_G_r_l_v @ S2 ) ) ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % only_new_introduces_lids'
% 0.29/0.67 thf(fact_338_SLC__new,axiom,
% 0.29/0.67 ! [S_1: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,V: val_r_l_v,S_2: r > option1457017436_r_l_v,L2: l,R2: r,S_22: r > option1457017436_r_l_v] :
% 0.29/0.67 ( ( ( S_1 @ R )
% 0.29/0.67 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( ref_r_l_v @ ( vE_r_l_v @ V ) ) ) ) ) ) )
% 0.29/0.67 => ( ( S_2
% 0.29/0.67 = ( fun_up709272714_r_l_v @ S_1 @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ ( fun_up1835647912_r_l_v @ Tau2 @ L2 @ ( some_val_r_l_v @ V ) ) @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( loc_l_r_v @ L2 ) ) ) ) ) ) ) )
% 0.29/0.67 => ( ~ ( member_l @ L2 @ ( lID_G_r_l_v @ S_1 ) )
% 0.29/0.67 => ( ( revision_step_r_l_v @ subst @ R2 @ S_1 @ S_22 )
% 0.29/0.67 => ( ( R != R2 )
% 0.29/0.67 => ( ( reachable_r_l_v @ subst @ S_1 )
% 0.29/0.67 => ( ~ ( finite_finite_l @ top_top_set_l )
% 0.29/0.67 => ? [S_3: r > option1457017436_r_l_v,S_32: r > option1457017436_r_l_v] :
% 0.29/0.67 ( ( eq_states_r_l_v @ S_3 @ S_32 )
% 0.29/0.67 & ( ( revision_step_r_l_v @ subst @ R2 @ S_2 @ S_3 )
% 0.29/0.67 | ( S_2 = S_3 ) )
% 0.29/0.67 & ( ( revision_step_r_l_v @ subst @ R @ S_22 @ S_32 )
% 0.29/0.67 | ( S_22 = S_32 ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % SLC_new
% 0.29/0.67 thf(fact_339_val_Oinject_I3_J,axiom,
% 0.29/0.67 ! [X32: l,Y32: l] :
% 0.29/0.67 ( ( ( loc_l_r_v @ X32 )
% 0.29/0.67 = ( loc_l_r_v @ Y32 ) )
% 0.29/0.67 = ( X32 = Y32 ) ) ).
% 0.29/0.67
% 0.29/0.67 % val.inject(3)
% 0.29/0.67 thf(fact_340_expr_Oinject_I4_J,axiom,
% 0.29/0.67 ! [X4: expr_r_l_v,Y4: expr_r_l_v] :
% 0.29/0.67 ( ( ( ref_r_l_v @ X4 )
% 0.29/0.67 = ( ref_r_l_v @ Y4 ) )
% 0.29/0.67 = ( X4 = Y4 ) ) ).
% 0.29/0.67
% 0.29/0.67 % expr.inject(4)
% 0.29/0.67 thf(fact_341_revision__step_Onew,axiom,
% 0.29/0.67 ! [S: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,V: val_r_l_v,L2: l] :
% 0.29/0.67 ( ( ( S @ R )
% 0.29/0.67 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( ref_r_l_v @ ( vE_r_l_v @ V ) ) ) ) ) ) )
% 0.29/0.67 => ( ~ ( member_l @ L2 @ ( lID_G_r_l_v @ S ) )
% 0.29/0.67 => ( revision_step_r_l_v @ subst @ R @ S @ ( fun_up709272714_r_l_v @ S @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ ( fun_up1835647912_r_l_v @ Tau2 @ L2 @ ( some_val_r_l_v @ V ) ) @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( loc_l_r_v @ L2 ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % revision_step.new
% 0.29/0.67 thf(fact_342_only__new__introduces__lids,axiom,
% 0.29/0.67 ! [R: r,S: r > option1457017436_r_l_v,S2: r > option1457017436_r_l_v] :
% 0.29/0.67 ( ( revision_step_r_l_v @ subst @ R @ S @ S2 )
% 0.29/0.67 => ( ! [Sigma: l > option_val_r_l_v,Tau: l > option_val_r_l_v,E5: cntxt_r_l_v,V2: val_r_l_v] :
% 0.29/0.67 ( ( S @ R )
% 0.29/0.67 != ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma @ ( produc1834103605_r_l_v @ Tau @ ( plug_r_l_v @ E5 @ ( ref_r_l_v @ ( vE_r_l_v @ V2 ) ) ) ) ) ) )
% 0.29/0.67 => ( ord_less_eq_set_l @ ( lID_G_r_l_v @ S2 ) @ ( lID_G_r_l_v @ S ) ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % only_new_introduces_lids
% 0.29/0.67 thf(fact_343_new__pseudodeterministic,axiom,
% 0.29/0.67 ! [S: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,V: val_r_l_v,S2: r > option1457017436_r_l_v] :
% 0.29/0.67 ( ( ( S @ R )
% 0.29/0.67 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( ref_r_l_v @ ( vE_r_l_v @ V ) ) ) ) ) ) )
% 0.29/0.67 => ( ( revision_step_r_l_v @ subst @ R @ S @ S2 )
% 0.29/0.67 = ( ? [L3: l] :
% 0.29/0.67 ( ~ ( member_l @ L3 @ ( lID_G_r_l_v @ S ) )
% 0.29/0.67 & ( S2
% 0.29/0.67 = ( fun_up709272714_r_l_v @ S @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ ( fun_up1835647912_r_l_v @ Tau2 @ L3 @ ( some_val_r_l_v @ V ) ) @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( loc_l_r_v @ L3 ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % new_pseudodeterministic
% 0.29/0.67 thf(fact_344_expr_Odistinct_I5_J,axiom,
% 0.29/0.67 ! [X1: val_r_l_v,X4: expr_r_l_v] :
% 0.29/0.67 ( ( vE_r_l_v @ X1 )
% 0.29/0.67 != ( ref_r_l_v @ X4 ) ) ).
% 0.29/0.67
% 0.29/0.67 % expr.distinct(5)
% 0.29/0.67 thf(fact_345_val_Odistinct_I15_J,axiom,
% 0.29/0.67 ! [X32: l,X4: r] :
% 0.29/0.67 ( ( loc_l_r_v @ X32 )
% 0.29/0.67 != ( rid_r_l_v @ X4 ) ) ).
% 0.29/0.67
% 0.29/0.67 % val.distinct(15)
% 0.29/0.67 thf(fact_346_expr_Odistinct_I43_J,axiom,
% 0.29/0.67 ! [X4: expr_r_l_v,X8: expr_r_l_v] :
% 0.29/0.67 ( ( ref_r_l_v @ X4 )
% 0.29/0.67 != ( rjoin_r_l_v @ X8 ) ) ).
% 0.29/0.67
% 0.29/0.67 % expr.distinct(43)
% 0.29/0.67 thf(fact_347_expr_Odistinct_I41_J,axiom,
% 0.29/0.67 ! [X4: expr_r_l_v,X7: expr_r_l_v] :
% 0.29/0.67 ( ( ref_r_l_v @ X4 )
% 0.29/0.67 != ( rfork_r_l_v @ X7 ) ) ).
% 0.29/0.67
% 0.29/0.67 % expr.distinct(41)
% 0.29/0.67 thf(fact_348_val_Odistinct_I3_J,axiom,
% 0.29/0.67 ! [X1: const,X32: l] :
% 0.29/0.67 ( ( cV_r_l_v @ X1 )
% 0.29/0.67 != ( loc_l_r_v @ X32 ) ) ).
% 0.29/0.67
% 0.29/0.67 % val.distinct(3)
% 0.29/0.67 thf(fact_349_substitution_Onew__pseudodeterministic,axiom,
% 0.29/0.67 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,V: val_r_l_v,S2: r > option1457017436_r_l_v] :
% 0.29/0.67 ( ( substitution_r_l_v @ Subst )
% 0.29/0.67 => ( ( ( S @ R )
% 0.29/0.67 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( ref_r_l_v @ ( vE_r_l_v @ V ) ) ) ) ) ) )
% 0.29/0.67 => ( ( revision_step_r_l_v @ Subst @ R @ S @ S2 )
% 0.29/0.67 = ( ? [L3: l] :
% 0.29/0.67 ( ~ ( member_l @ L3 @ ( lID_G_r_l_v @ S ) )
% 0.29/0.67 & ( S2
% 0.29/0.67 = ( fun_up709272714_r_l_v @ S @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ ( fun_up1835647912_r_l_v @ Tau2 @ L3 @ ( some_val_r_l_v @ V ) ) @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( loc_l_r_v @ L3 ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % substitution.new_pseudodeterministic
% 0.29/0.67 thf(fact_350_substitution_Orevision__step_Onew,axiom,
% 0.29/0.67 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,V: val_r_l_v,L2: l] :
% 0.29/0.67 ( ( substitution_r_l_v @ Subst )
% 0.29/0.67 => ( ( ( S @ R )
% 0.29/0.67 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( ref_r_l_v @ ( vE_r_l_v @ V ) ) ) ) ) ) )
% 0.29/0.67 => ( ~ ( member_l @ L2 @ ( lID_G_r_l_v @ S ) )
% 0.29/0.67 => ( revision_step_r_l_v @ Subst @ R @ S @ ( fun_up709272714_r_l_v @ S @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ ( fun_up1835647912_r_l_v @ Tau2 @ L2 @ ( some_val_r_l_v @ V ) ) @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( loc_l_r_v @ L2 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % substitution.revision_step.new
% 0.29/0.67 thf(fact_351_substitution_OSLC__new,axiom,
% 0.29/0.67 ! [Subst: expr_r_l_v > v > expr_r_l_v > expr_r_l_v,S_1: r > option1457017436_r_l_v,R: r,Sigma2: l > option_val_r_l_v,Tau2: l > option_val_r_l_v,E: cntxt_r_l_v,V: val_r_l_v,S_2: r > option1457017436_r_l_v,L2: l,R2: r,S_22: r > option1457017436_r_l_v] :
% 0.29/0.67 ( ( substitution_r_l_v @ Subst )
% 0.29/0.67 => ( ( ( S_1 @ R )
% 0.29/0.67 = ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ Tau2 @ ( plug_r_l_v @ E @ ( ref_r_l_v @ ( vE_r_l_v @ V ) ) ) ) ) ) )
% 0.29/0.67 => ( ( S_2
% 0.29/0.67 = ( fun_up709272714_r_l_v @ S_1 @ R @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ Sigma2 @ ( produc1834103605_r_l_v @ ( fun_up1835647912_r_l_v @ Tau2 @ L2 @ ( some_val_r_l_v @ V ) ) @ ( plug_r_l_v @ E @ ( vE_r_l_v @ ( loc_l_r_v @ L2 ) ) ) ) ) ) ) )
% 0.29/0.67 => ( ~ ( member_l @ L2 @ ( lID_G_r_l_v @ S_1 ) )
% 0.29/0.67 => ( ( revision_step_r_l_v @ Subst @ R2 @ S_1 @ S_22 )
% 0.29/0.67 => ( ( R != R2 )
% 0.29/0.67 => ( ( reachable_r_l_v @ Subst @ S_1 )
% 0.29/0.67 => ( ~ ( finite_finite_l @ top_top_set_l )
% 0.29/0.67 => ? [S_3: r > option1457017436_r_l_v,S_32: r > option1457017436_r_l_v] :
% 0.29/0.67 ( ( eq_states_r_l_v @ S_3 @ S_32 )
% 0.29/0.67 & ( ( revision_step_r_l_v @ Subst @ R2 @ S_2 @ S_3 )
% 0.29/0.67 | ( S_2 = S_3 ) )
% 0.29/0.67 & ( ( revision_step_r_l_v @ Subst @ R @ S_22 @ S_32 )
% 0.29/0.67 | ( S_22 = S_32 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.67
% 0.29/0.67 % substitution.SLC_new
% 0.29/0.67
% 0.29/0.67 % Helper facts (5)
% 0.29/0.67 thf(help_If_2_1_If_001t__Option__Ooption_It__Data__Oval_Itf__r_Mtf__l_Mtf__v_J_J_T,axiom,
% 0.29/0.67 ! [X: option_val_r_l_v,Y: option_val_r_l_v] :
% 0.29/0.67 ( ( if_option_val_r_l_v @ $false @ X @ Y )
% 0.29/0.67 = Y ) ).
% 0.29/0.67
% 0.29/0.67 thf(help_If_1_1_If_001t__Option__Ooption_It__Data__Oval_Itf__r_Mtf__l_Mtf__v_J_J_T,axiom,
% 0.29/0.67 ! [X: option_val_r_l_v,Y: option_val_r_l_v] :
% 0.29/0.67 ( ( if_option_val_r_l_v @ $true @ X @ Y )
% 0.29/0.67 = X ) ).
% 0.29/0.67
% 0.29/0.67 thf(help_If_3_1_If_001t__Option__Ooption_It__Product____Type__Oprod_I_062_Itf__l_Mt__Option__Ooption_It__Data__Oval_Itf__r_Mtf__l_Mtf__v_J_J_J_Mt__Product____Type__Oprod_I_062_Itf__l_Mt__Option__Ooption_It__Data__Oval_Itf__r_Mtf__l_Mtf__v_J_J_J_Mt__Data__Oexpr_Itf__r_Mtf__l_Mtf__v_J_J_J_J_T,axiom,
% 0.29/0.67 ! [P: $o] :
% 0.29/0.67 ( ( P = $true )
% 0.29/0.67 | ( P = $false ) ) ).
% 0.29/0.67
% 0.29/0.67 thf(help_If_2_1_If_001t__Option__Ooption_It__Product____Type__Oprod_I_062_Itf__l_Mt__Option__Ooption_It__Data__Oval_Itf__r_Mtf__l_Mtf__v_J_J_J_Mt__Product____Type__Oprod_I_062_Itf__l_Mt__Option__Ooption_It__Data__Oval_Itf__r_Mtf__l_Mtf__v_J_J_J_Mt__Data__Oexpr_Itf__r_Mtf__l_Mtf__v_J_J_J_J_T,axiom,
% 0.29/0.67 ! [X: option1457017436_r_l_v,Y: option1457017436_r_l_v] :
% 0.29/0.67 ( ( if_opt1153928738_r_l_v @ $false @ X @ Y )
% 0.29/0.67 = Y ) ).
% 0.29/0.67
% 0.29/0.67 thf(help_If_1_1_If_001t__Option__Ooption_It__Product____Type__Oprod_I_062_Itf__l_Mt__Option__Ooption_It__Data__Oval_Itf__r_Mtf__l_Mtf__v_J_J_J_Mt__Product____Type__Oprod_I_062_Itf__l_Mt__Option__Ooption_It__Data__Oval_Itf__r_Mtf__l_Mtf__v_J_J_J_Mt__Data__Oexpr_Itf__r_Mtf__l_Mtf__v_J_J_J_J_T,axiom,
% 0.29/0.67 ! [X: option1457017436_r_l_v,Y: option1457017436_r_l_v] :
% 0.57/0.78 ( ( if_opt1153928738_r_l_v @ $true @ X @ Y )
% 0.57/0.78 = X ) ).
% 0.57/0.78
% 0.57/0.78 % Conjectures (1)
% 0.57/0.78 thf(conj_0,conjecture,
% 0.57/0.78 ( s
% 0.57/0.78 = ( fun_up709272714_r_l_v @ s @ r2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) ) ) ).
% 0.57/0.78
% 0.57/0.78 %------------------------------------------------------------------------------
% 0.57/0.78 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.1kZGQd8ISo/cvc5---1.0.5_29985.p...
% 0.57/0.78 (declare-sort $$unsorted 0)
% 0.57/0.78 (declare-sort tptp.produc1394974636_r_l_v 0)
% 0.57/0.78 (declare-sort tptp.produc1489027110_r_l_v 0)
% 0.57/0.78 (declare-sort tptp.option1457017436_r_l_v 0)
% 0.57/0.78 (declare-sort tptp.produc1156025366_r_l_v 0)
% 0.57/0.78 (declare-sort tptp.produc1164766533_r_l_v 0)
% 0.57/0.78 (declare-sort tptp.set_op865065573um_r_l 0)
% 0.57/0.78 (declare-sort tptp.set_op160472561um_l_r 0)
% 0.57/0.78 (declare-sort tptp.set_op76482283um_l_l 0)
% 0.57/0.78 (declare-sort tptp.set_option_set_r 0)
% 0.57/0.78 (declare-sort tptp.set_option_set_l 0)
% 0.57/0.78 (declare-sort tptp.option_val_r_l_v 0)
% 0.57/0.78 (declare-sort tptp.set_Product_prod_r_r 0)
% 0.57/0.78 (declare-sort tptp.set_Product_prod_r_l 0)
% 0.57/0.78 (declare-sort tptp.set_Product_prod_l_r 0)
% 0.57/0.78 (declare-sort tptp.set_Product_prod_l_l 0)
% 0.57/0.78 (declare-sort tptp.set_Sum_sum_r_r 0)
% 0.57/0.78 (declare-sort tptp.set_Sum_sum_r_l 0)
% 0.57/0.78 (declare-sort tptp.set_Sum_sum_l_r 0)
% 0.57/0.78 (declare-sort tptp.set_Sum_sum_l_l 0)
% 0.57/0.78 (declare-sort tptp.set_option_r 0)
% 0.57/0.78 (declare-sort tptp.set_option_l 0)
% 0.57/0.78 (declare-sort tptp.cntxt_r_l_v 0)
% 0.57/0.78 (declare-sort tptp.set_set_r 0)
% 0.57/0.78 (declare-sort tptp.set_set_l 0)
% 0.57/0.78 (declare-sort tptp.expr_r_l_v 0)
% 0.57/0.78 (declare-sort tptp.sum_sum_r_l 0)
% 0.57/0.78 (declare-sort tptp.sum_sum_l_r 0)
% 0.57/0.78 (declare-sort tptp.sum_sum_l_l 0)
% 0.57/0.78 (declare-sort tptp.val_r_l_v 0)
% 0.57/0.78 (declare-sort tptp.set_r 0)
% 0.57/0.78 (declare-sort tptp.set_l 0)
% 0.57/0.78 (declare-sort tptp.const 0)
% 0.57/0.78 (declare-sort tptp.v 0)
% 0.57/0.78 (declare-sort tptp.r 0)
% 0.57/0.78 (declare-sort tptp.l 0)
% 0.57/0.78 (declare-fun tptp.lID_expression_l_r_v (tptp.produc1156025366_r_l_v) tptp.expr_r_l_v)
% 0.57/0.78 (declare-fun tptp.lID_lo1265057957_l_r_v (tptp.produc1156025366_r_l_v tptp.l) tptp.option_val_r_l_v)
% 0.57/0.78 (declare-fun tptp.lID_snapshot_l_r_v (tptp.produc1156025366_r_l_v tptp.l) tptp.option_val_r_l_v)
% 0.57/0.78 (declare-fun tptp.combine_l_val_r_l_v ((-> tptp.l tptp.option_val_r_l_v) (-> tptp.l tptp.option_val_r_l_v) tptp.l) tptp.option_val_r_l_v)
% 0.57/0.78 (declare-fun tptp.unit () tptp.const)
% 0.57/0.78 (declare-fun tptp.ref_r_l_v (tptp.expr_r_l_v) tptp.expr_r_l_v)
% 0.57/0.78 (declare-fun tptp.rfork_r_l_v (tptp.expr_r_l_v) tptp.expr_r_l_v)
% 0.57/0.78 (declare-fun tptp.rjoin_r_l_v (tptp.expr_r_l_v) tptp.expr_r_l_v)
% 0.57/0.78 (declare-fun tptp.vE_r_l_v (tptp.val_r_l_v) tptp.expr_r_l_v)
% 0.57/0.78 (declare-fun tptp.plug_r_l_v (tptp.cntxt_r_l_v tptp.expr_r_l_v) tptp.expr_r_l_v)
% 0.57/0.78 (declare-fun tptp.cV_r_l_v (tptp.const) tptp.val_r_l_v)
% 0.57/0.78 (declare-fun tptp.loc_l_r_v (tptp.l) tptp.val_r_l_v)
% 0.57/0.78 (declare-fun tptp.rid_r_l_v (tptp.r) tptp.val_r_l_v)
% 0.57/0.78 (declare-fun tptp.execution_r_l_v ((-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v) tptp.expr_r_l_v (-> tptp.r tptp.option1457017436_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v)) Bool)
% 0.57/0.78 (declare-fun tptp.induct1670415253_r_l_v ((-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v) (-> (-> tptp.r tptp.option1457017436_r_l_v) Bool)) Bool)
% 0.57/0.78 (declare-fun tptp.reachable_r_l_v ((-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v)) Bool)
% 0.57/0.78 (declare-fun tptp.finite160708696_set_l (tptp.set_option_set_l) Bool)
% 0.57/0.78 (declare-fun tptp.finite555643486_set_r (tptp.set_option_set_r) Bool)
% 0.57/0.78 (declare-fun tptp.finite1864485196um_l_l (tptp.set_op76482283um_l_l) Bool)
% 0.57/0.78 (declare-fun tptp.finite111936338um_l_r (tptp.set_op160472561um_l_r) Bool)
% 0.57/0.78 (declare-fun tptp.finite1036466630um_r_l (tptp.set_op865065573um_r_l) Bool)
% 0.57/0.78 (declare-fun tptp.finite2114249848tion_l (tptp.set_option_l) Bool)
% 0.57/0.78 (declare-fun tptp.finite16335230tion_r (tptp.set_option_r) Bool)
% 0.57/0.78 (declare-fun tptp.finite785973648od_l_l (tptp.set_Product_prod_l_l) Bool)
% 0.57/0.78 (declare-fun tptp.finite835542678od_l_r (tptp.set_Product_prod_l_r) Bool)
% 0.57/0.78 (declare-fun tptp.finite1457622794od_r_l (tptp.set_Product_prod_r_l) Bool)
% 0.57/0.78 (declare-fun tptp.finite1507191824od_r_r (tptp.set_Product_prod_r_r) Bool)
% 0.57/0.78 (declare-fun tptp.finite_finite_set_l (tptp.set_set_l) Bool)
% 0.57/0.78 (declare-fun tptp.finite_finite_set_r (tptp.set_set_r) Bool)
% 0.57/0.78 (declare-fun tptp.finite1541484284um_l_l (tptp.set_Sum_sum_l_l) Bool)
% 0.57/0.78 (declare-fun tptp.finite1591053314um_l_r (tptp.set_Sum_sum_l_r) Bool)
% 0.57/0.78 (declare-fun tptp.finite65649782um_r_l (tptp.set_Sum_sum_r_l) Bool)
% 0.57/0.78 (declare-fun tptp.finite115218812um_r_r (tptp.set_Sum_sum_r_r) Bool)
% 0.57/0.78 (declare-fun tptp.finite_finite_l (tptp.set_l) Bool)
% 0.57/0.78 (declare-fun tptp.finite_finite_r (tptp.set_r) Bool)
% 0.57/0.78 (declare-fun tptp.bij_betw_l_l ((-> tptp.l tptp.l) tptp.set_l tptp.set_l) Bool)
% 0.57/0.78 (declare-fun tptp.bij_betw_l_r ((-> tptp.l tptp.r) tptp.set_l tptp.set_r) Bool)
% 0.57/0.78 (declare-fun tptp.bij_betw_r_l ((-> tptp.r tptp.l) tptp.set_r tptp.set_l) Bool)
% 0.57/0.78 (declare-fun tptp.bij_betw_r_r ((-> tptp.r tptp.r) tptp.set_r tptp.set_r) Bool)
% 0.57/0.78 (declare-fun tptp.fun_up1835647912_r_l_v ((-> tptp.l tptp.option_val_r_l_v) tptp.l tptp.option_val_r_l_v tptp.l) tptp.option_val_r_l_v)
% 0.57/0.78 (declare-fun tptp.fun_up709272714_r_l_v ((-> tptp.r tptp.option1457017436_r_l_v) tptp.r tptp.option1457017436_r_l_v tptp.r) tptp.option1457017436_r_l_v)
% 0.57/0.78 (declare-fun tptp.if_option_val_r_l_v (Bool tptp.option_val_r_l_v tptp.option_val_r_l_v) tptp.option_val_r_l_v)
% 0.57/0.78 (declare-fun tptp.if_opt1153928738_r_l_v (Bool tptp.option1457017436_r_l_v tptp.option1457017436_r_l_v) tptp.option1457017436_r_l_v)
% 0.57/0.78 (declare-fun tptp.lID_G_r_l_v ((-> tptp.r tptp.option1457017436_r_l_v)) tptp.set_l)
% 0.57/0.78 (declare-fun tptp.lID_L_l_r_v (tptp.produc1156025366_r_l_v) tptp.set_l)
% 0.57/0.78 (declare-fun tptp.rID_G_r_l_v ((-> tptp.r tptp.option1457017436_r_l_v)) tptp.set_r)
% 0.57/0.78 (declare-fun tptp.rID_L_l_r_v (tptp.produc1156025366_r_l_v) tptp.set_r)
% 0.57/0.78 (declare-fun tptp.domain87684397_l_r_v (tptp.produc1156025366_r_l_v) Bool)
% 0.57/0.78 (declare-fun tptp.domain1547879849_r_l_v ((-> tptp.r tptp.option1457017436_r_l_v)) Bool)
% 0.57/0.78 (declare-fun tptp.revision_step_r_l_v ((-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v) tptp.r (-> tptp.r tptp.option1457017436_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v)) Bool)
% 0.57/0.78 (declare-fun tptp.revisi1291188644_r_l_v ((-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v) tptp.r (-> tptp.r tptp.option1457017436_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v)) Bool)
% 0.57/0.78 (declare-fun tptp.subsum148050133_r_l_v (tptp.r tptp.r (-> tptp.r tptp.option1457017436_r_l_v)) Bool)
% 0.57/0.78 (declare-fun tptp.subsum680764357_r_l_v ((-> tptp.r tptp.option1457017436_r_l_v)) Bool)
% 0.57/0.78 (declare-fun tptp.none_val_r_l_v () tptp.option_val_r_l_v)
% 0.57/0.78 (declare-fun tptp.none_P277133687_r_l_v () tptp.option1457017436_r_l_v)
% 0.57/0.78 (declare-fun tptp.some_val_r_l_v (tptp.val_r_l_v) tptp.option_val_r_l_v)
% 0.57/0.78 (declare-fun tptp.some_P1807977723_r_l_v (tptp.produc1156025366_r_l_v) tptp.option1457017436_r_l_v)
% 0.57/0.78 (declare-fun tptp.ord_less_eq_set_l (tptp.set_l tptp.set_l) Bool)
% 0.57/0.78 (declare-fun tptp.ord_less_eq_set_r (tptp.set_r tptp.set_r) Bool)
% 0.57/0.78 (declare-fun tptp.top_to471808607_set_l () tptp.set_option_set_l)
% 0.57/0.78 (declare-fun tptp.top_to555798885_set_r () tptp.set_option_set_r)
% 0.57/0.78 (declare-fun tptp.top_to1066565019um_l_l () tptp.set_op76482283um_l_l)
% 0.57/0.78 (declare-fun tptp.top_to1150555297um_l_r () tptp.set_op160472561um_l_r)
% 0.57/0.78 (declare-fun tptp.top_to1855148309um_r_l () tptp.set_op865065573um_r_l)
% 0.57/0.78 (declare-fun tptp.top_top_set_option_l () tptp.set_option_l)
% 0.57/0.78 (declare-fun tptp.top_top_set_option_r () tptp.set_option_r)
% 0.57/0.78 (declare-fun tptp.top_to320296343od_l_l () tptp.set_Product_prod_l_l)
% 0.57/0.78 (declare-fun tptp.top_to715231133od_l_r () tptp.set_Product_prod_l_r)
% 0.57/0.78 (declare-fun tptp.top_to1639761425od_r_l () tptp.set_Product_prod_r_l)
% 0.57/0.78 (declare-fun tptp.top_to2034696215od_r_r () tptp.set_Product_prod_r_r)
% 0.57/0.78 (declare-fun tptp.top_top_set_set_l () tptp.set_set_l)
% 0.57/0.78 (declare-fun tptp.top_top_set_set_r () tptp.set_set_r)
% 0.57/0.78 (declare-fun tptp.top_to1010946379um_l_l () tptp.set_Sum_sum_l_l)
% 0.57/0.78 (declare-fun tptp.top_to1405881169um_l_r () tptp.set_Sum_sum_l_r)
% 0.57/0.78 (declare-fun tptp.top_to182927813um_r_l () tptp.set_Sum_sum_r_l)
% 0.57/0.78 (declare-fun tptp.top_to577862603um_r_r () tptp.set_Sum_sum_r_r)
% 0.57/0.78 (declare-fun tptp.top_top_set_l () tptp.set_l)
% 0.57/0.78 (declare-fun tptp.top_top_set_r () tptp.set_r)
% 0.57/0.78 (declare-fun tptp.produc1834103605_r_l_v ((-> tptp.l tptp.option_val_r_l_v) tptp.expr_r_l_v) tptp.produc1164766533_r_l_v)
% 0.57/0.78 (declare-fun tptp.produc297528454_r_l_v ((-> tptp.l tptp.option_val_r_l_v) tptp.produc1164766533_r_l_v) tptp.produc1156025366_r_l_v)
% 0.57/0.78 (declare-fun tptp.produc2057232216_r_l_v ((-> tptp.l tptp.l) tptp.produc1156025366_r_l_v) tptp.produc1489027110_r_l_v)
% 0.57/0.78 (declare-fun tptp.produc2111504612_r_l_v ((-> tptp.r tptp.r) tptp.produc1489027110_r_l_v) tptp.produc1394974636_r_l_v)
% 0.57/0.78 (declare-fun tptp.r_G_r_l_v ((-> tptp.r tptp.r) (-> tptp.l tptp.l) (-> tptp.r tptp.option1457017436_r_l_v) tptp.r) tptp.option1457017436_r_l_v)
% 0.57/0.78 (declare-fun tptp.r_L_r_l_v ((-> tptp.r tptp.r) (-> tptp.l tptp.l) tptp.produc1156025366_r_l_v) tptp.produc1156025366_r_l_v)
% 0.57/0.78 (declare-fun tptp.eq_states_r_l_v ((-> tptp.r tptp.option1457017436_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v)) Bool)
% 0.57/0.78 (declare-fun tptp.is_glo1871033385_r_l_v ((-> tptp.r tptp.r) (-> tptp.l tptp.l) (-> tptp.r tptp.option1457017436_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v)) Bool)
% 0.57/0.78 (declare-fun tptp.collect_set_l ((-> tptp.set_l Bool)) tptp.set_set_l)
% 0.57/0.78 (declare-fun tptp.collect_set_r ((-> tptp.set_r Bool)) tptp.set_set_r)
% 0.57/0.78 (declare-fun tptp.collect_Sum_sum_l_l ((-> tptp.sum_sum_l_l Bool)) tptp.set_Sum_sum_l_l)
% 0.57/0.78 (declare-fun tptp.collect_Sum_sum_l_r ((-> tptp.sum_sum_l_r Bool)) tptp.set_Sum_sum_l_r)
% 0.57/0.78 (declare-fun tptp.collect_Sum_sum_r_l ((-> tptp.sum_sum_r_l Bool)) tptp.set_Sum_sum_r_l)
% 0.57/0.78 (declare-fun tptp.collect_l ((-> tptp.l Bool)) tptp.set_l)
% 0.57/0.78 (declare-fun tptp.collect_r ((-> tptp.r Bool)) tptp.set_r)
% 0.57/0.78 (declare-fun tptp.substitution_r_l_v ((-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) Bool)
% 0.57/0.78 (declare-fun tptp.member_set_l (tptp.set_l tptp.set_set_l) Bool)
% 0.57/0.78 (declare-fun tptp.member_set_r (tptp.set_r tptp.set_set_r) Bool)
% 0.57/0.78 (declare-fun tptp.member_l (tptp.l tptp.set_l) Bool)
% 0.57/0.78 (declare-fun tptp.member_r (tptp.r tptp.set_r) Bool)
% 0.57/0.78 (declare-fun tptp.e () tptp.cntxt_r_l_v)
% 0.57/0.78 (declare-fun tptp.alpha (tptp.r) tptp.r)
% 0.57/0.78 (declare-fun tptp.beta (tptp.l) tptp.l)
% 0.57/0.78 (declare-fun tptp.sigma (tptp.l) tptp.option_val_r_l_v)
% 0.57/0.78 (declare-fun tptp.tau (tptp.l) tptp.option_val_r_l_v)
% 0.57/0.78 (declare-fun tptp.e2 () tptp.expr_r_l_v)
% 0.57/0.78 (declare-fun tptp.r2 () tptp.r)
% 0.57/0.78 (declare-fun tptp.r3 () tptp.r)
% 0.57/0.78 (declare-fun tptp.s (tptp.r) tptp.option1457017436_r_l_v)
% 0.57/0.78 (declare-fun tptp.s2 (tptp.r) tptp.option1457017436_r_l_v)
% 0.57/0.78 (declare-fun tptp.subst (tptp.expr_r_l_v tptp.v tptp.expr_r_l_v) tptp.expr_r_l_v)
% 0.57/0.78 (assert (= (@ tptp.s tptp.r2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v tptp.sigma) (@ (@ tptp.produc1834103605_r_l_v tptp.tau) (@ (@ tptp.plug_r_l_v tptp.e) (@ tptp.rfork_r_l_v tptp.e2)))))))
% 0.57/0.78 (assert (forall ((X7 tptp.expr_r_l_v) (Y7 tptp.expr_r_l_v)) (= (= (@ tptp.rfork_r_l_v X7) (@ tptp.rfork_r_l_v Y7)) (= X7 Y7))))
% 0.57/0.78 (assert (forall ((E tptp.cntxt_r_l_v) (E1 tptp.expr_r_l_v) (E2 tptp.expr_r_l_v)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (= (= (@ _let_1 E1) (@ _let_1 E2)) (= E1 E2)))))
% 0.57/0.78 (assert (forall ((F (-> tptp.r tptp.option1457017436_r_l_v)) (X tptp.r) (Y tptp.option1457017436_r_l_v) (Z tptp.option1457017436_r_l_v)) (let ((_let_1 (@ (@ tptp.fun_up709272714_r_l_v F) X))) (= (@ (@ (@ tptp.fun_up709272714_r_l_v (@ _let_1 Y)) X) Z) (@ _let_1 Z)))))
% 0.57/0.78 (assert (forall ((F (-> tptp.l tptp.option_val_r_l_v)) (X tptp.l) (Y tptp.option_val_r_l_v) (Z tptp.option_val_r_l_v)) (let ((_let_1 (@ (@ tptp.fun_up1835647912_r_l_v F) X))) (= (@ (@ (@ tptp.fun_up1835647912_r_l_v (@ _let_1 Y)) X) Z) (@ _let_1 Z)))))
% 0.57/0.78 (assert (forall ((F (-> tptp.r tptp.option1457017436_r_l_v)) (X tptp.r)) (= (@ (@ (@ tptp.fun_up709272714_r_l_v F) X) (@ F X)) F)))
% 0.57/0.78 (assert (forall ((F (-> tptp.l tptp.option_val_r_l_v)) (X tptp.l)) (= (@ (@ (@ tptp.fun_up1835647912_r_l_v F) X) (@ F X)) F)))
% 0.57/0.78 (assert (= tptp.fun_up709272714_r_l_v (lambda ((F2 (-> tptp.r tptp.option1457017436_r_l_v)) (X2 tptp.r) (Y2 tptp.option1457017436_r_l_v) (Z2 tptp.r)) (@ (@ (@ tptp.if_opt1153928738_r_l_v (= Z2 X2)) Y2) (@ F2 Z2)))))
% 0.57/0.78 (assert (= tptp.fun_up1835647912_r_l_v (lambda ((F2 (-> tptp.l tptp.option_val_r_l_v)) (X2 tptp.l) (Y2 tptp.option_val_r_l_v) (Z2 tptp.l)) (@ (@ (@ tptp.if_option_val_r_l_v (= Z2 X2)) Y2) (@ F2 Z2)))))
% 0.57/0.78 (assert (forall ((X22 tptp.produc1156025366_r_l_v) (Y22 tptp.produc1156025366_r_l_v)) (= (= (@ tptp.some_P1807977723_r_l_v X22) (@ tptp.some_P1807977723_r_l_v Y22)) (= X22 Y22))))
% 0.57/0.78 (assert (forall ((X22 tptp.val_r_l_v) (Y22 tptp.val_r_l_v)) (= (= (@ tptp.some_val_r_l_v X22) (@ tptp.some_val_r_l_v Y22)) (= X22 Y22))))
% 0.57/0.78 (assert (forall ((X1 (-> tptp.r tptp.r)) (X22 tptp.produc1489027110_r_l_v) (Y1 (-> tptp.r tptp.r)) (Y22 tptp.produc1489027110_r_l_v)) (= (= (@ (@ tptp.produc2111504612_r_l_v X1) X22) (@ (@ tptp.produc2111504612_r_l_v Y1) Y22)) (and (= X1 Y1) (= X22 Y22)))))
% 0.57/0.78 (assert (forall ((X1 (-> tptp.l tptp.l)) (X22 tptp.produc1156025366_r_l_v) (Y1 (-> tptp.l tptp.l)) (Y22 tptp.produc1156025366_r_l_v)) (= (= (@ (@ tptp.produc2057232216_r_l_v X1) X22) (@ (@ tptp.produc2057232216_r_l_v Y1) Y22)) (and (= X1 Y1) (= X22 Y22)))))
% 0.57/0.78 (assert (forall ((X1 (-> tptp.l tptp.option_val_r_l_v)) (X22 tptp.produc1164766533_r_l_v) (Y1 (-> tptp.l tptp.option_val_r_l_v)) (Y22 tptp.produc1164766533_r_l_v)) (= (= (@ (@ tptp.produc297528454_r_l_v X1) X22) (@ (@ tptp.produc297528454_r_l_v Y1) Y22)) (and (= X1 Y1) (= X22 Y22)))))
% 0.57/0.78 (assert (forall ((X1 (-> tptp.l tptp.option_val_r_l_v)) (X22 tptp.expr_r_l_v) (Y1 (-> tptp.l tptp.option_val_r_l_v)) (Y22 tptp.expr_r_l_v)) (= (= (@ (@ tptp.produc1834103605_r_l_v X1) X22) (@ (@ tptp.produc1834103605_r_l_v Y1) Y22)) (and (= X1 Y1) (= X22 Y22)))))
% 0.57/0.78 (assert (forall ((A (-> tptp.r tptp.r)) (B tptp.produc1489027110_r_l_v) (A2 (-> tptp.r tptp.r)) (B2 tptp.produc1489027110_r_l_v)) (= (= (@ (@ tptp.produc2111504612_r_l_v A) B) (@ (@ tptp.produc2111504612_r_l_v A2) B2)) (and (= A A2) (= B B2)))))
% 0.57/0.78 (assert (forall ((A (-> tptp.l tptp.l)) (B tptp.produc1156025366_r_l_v) (A2 (-> tptp.l tptp.l)) (B2 tptp.produc1156025366_r_l_v)) (= (= (@ (@ tptp.produc2057232216_r_l_v A) B) (@ (@ tptp.produc2057232216_r_l_v A2) B2)) (and (= A A2) (= B B2)))))
% 0.57/0.78 (assert (forall ((A (-> tptp.l tptp.option_val_r_l_v)) (B tptp.produc1164766533_r_l_v) (A2 (-> tptp.l tptp.option_val_r_l_v)) (B2 tptp.produc1164766533_r_l_v)) (= (= (@ (@ tptp.produc297528454_r_l_v A) B) (@ (@ tptp.produc297528454_r_l_v A2) B2)) (and (= A A2) (= B B2)))))
% 0.57/0.78 (assert (forall ((A (-> tptp.l tptp.option_val_r_l_v)) (B tptp.expr_r_l_v) (A2 (-> tptp.l tptp.option_val_r_l_v)) (B2 tptp.expr_r_l_v)) (= (= (@ (@ tptp.produc1834103605_r_l_v A) B) (@ (@ tptp.produc1834103605_r_l_v A2) B2)) (and (= A A2) (= B B2)))))
% 0.57/0.78 (assert (forall ((X tptp.produc1156025366_r_l_v)) (not (forall ((Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E3 tptp.expr_r_l_v)) (not (= X (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) E3))))))))
% 0.57/0.78 (assert (forall ((P (-> tptp.produc1156025366_r_l_v Bool)) (A0 tptp.produc1156025366_r_l_v)) (=> (forall ((Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E3 tptp.expr_r_l_v)) (@ P (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) E3)))) (@ P A0))))
% 0.57/0.78 (assert (forall ((P (-> (-> tptp.r tptp.r) (-> tptp.l tptp.l) tptp.produc1156025366_r_l_v Bool)) (A0 (-> tptp.r tptp.r)) (A1 (-> tptp.l tptp.l)) (A22 tptp.produc1156025366_r_l_v)) (=> (forall ((Alpha (-> tptp.r tptp.r)) (Beta (-> tptp.l tptp.l)) (Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E3 tptp.expr_r_l_v)) (@ (@ (@ P Alpha) Beta) (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) E3)))) (@ (@ (@ P A0) A1) A22))))
% 0.57/0.78 (assert (forall ((M (-> tptp.r tptp.option1457017436_r_l_v)) (A tptp.r) (X tptp.produc1156025366_r_l_v) (N (-> tptp.r tptp.option1457017436_r_l_v)) (Y tptp.produc1156025366_r_l_v)) (=> (= (@ (@ (@ tptp.fun_up709272714_r_l_v M) A) (@ tptp.some_P1807977723_r_l_v X)) (@ (@ (@ tptp.fun_up709272714_r_l_v N) A) (@ tptp.some_P1807977723_r_l_v Y))) (= X Y))))
% 0.57/0.78 (assert (forall ((M (-> tptp.l tptp.option_val_r_l_v)) (A tptp.l) (X tptp.val_r_l_v) (N (-> tptp.l tptp.option_val_r_l_v)) (Y tptp.val_r_l_v)) (=> (= (@ (@ (@ tptp.fun_up1835647912_r_l_v M) A) (@ tptp.some_val_r_l_v X)) (@ (@ (@ tptp.fun_up1835647912_r_l_v N) A) (@ tptp.some_val_r_l_v Y))) (= X Y))))
% 0.57/0.78 (assert (forall ((X tptp.produc1394974636_r_l_v)) (not (forall ((Alpha (-> tptp.r tptp.r)) (Beta (-> tptp.l tptp.l)) (Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E3 tptp.expr_r_l_v)) (not (= X (@ (@ tptp.produc2111504612_r_l_v Alpha) (@ (@ tptp.produc2057232216_r_l_v Beta) (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) E3))))))))))
% 0.57/0.78 (assert (forall ((P (-> tptp.produc1394974636_r_l_v Bool)) (Prod tptp.produc1394974636_r_l_v)) (=> (forall ((A3 (-> tptp.r tptp.r)) (B3 tptp.produc1489027110_r_l_v)) (@ P (@ (@ tptp.produc2111504612_r_l_v A3) B3))) (@ P Prod))))
% 0.57/0.78 (assert (forall ((P (-> tptp.produc1489027110_r_l_v Bool)) (Prod tptp.produc1489027110_r_l_v)) (=> (forall ((A3 (-> tptp.l tptp.l)) (B3 tptp.produc1156025366_r_l_v)) (@ P (@ (@ tptp.produc2057232216_r_l_v A3) B3))) (@ P Prod))))
% 0.57/0.78 (assert (forall ((P (-> tptp.produc1156025366_r_l_v Bool)) (Prod tptp.produc1156025366_r_l_v)) (=> (forall ((A3 (-> tptp.l tptp.option_val_r_l_v)) (B3 tptp.produc1164766533_r_l_v)) (@ P (@ (@ tptp.produc297528454_r_l_v A3) B3))) (@ P Prod))))
% 0.57/0.78 (assert (forall ((P (-> tptp.produc1164766533_r_l_v Bool)) (Prod tptp.produc1164766533_r_l_v)) (=> (forall ((A3 (-> tptp.l tptp.option_val_r_l_v)) (B3 tptp.expr_r_l_v)) (@ P (@ (@ tptp.produc1834103605_r_l_v A3) B3))) (@ P Prod))))
% 0.57/0.78 (assert (forall ((Y tptp.produc1394974636_r_l_v)) (not (forall ((A3 (-> tptp.r tptp.r)) (B3 tptp.produc1489027110_r_l_v)) (not (= Y (@ (@ tptp.produc2111504612_r_l_v A3) B3)))))))
% 0.57/0.78 (assert (forall ((Y tptp.produc1489027110_r_l_v)) (not (forall ((A3 (-> tptp.l tptp.l)) (B3 tptp.produc1156025366_r_l_v)) (not (= Y (@ (@ tptp.produc2057232216_r_l_v A3) B3)))))))
% 0.57/0.78 (assert (forall ((Y tptp.produc1156025366_r_l_v)) (not (forall ((A3 (-> tptp.l tptp.option_val_r_l_v)) (B3 tptp.produc1164766533_r_l_v)) (not (= Y (@ (@ tptp.produc297528454_r_l_v A3) B3)))))))
% 0.57/0.78 (assert (forall ((Y tptp.produc1164766533_r_l_v)) (not (forall ((A3 (-> tptp.l tptp.option_val_r_l_v)) (B3 tptp.expr_r_l_v)) (not (= Y (@ (@ tptp.produc1834103605_r_l_v A3) B3)))))))
% 0.57/0.78 (assert (forall ((A (-> tptp.r tptp.r)) (B tptp.produc1489027110_r_l_v) (A2 (-> tptp.r tptp.r)) (B2 tptp.produc1489027110_r_l_v)) (=> (= (@ (@ tptp.produc2111504612_r_l_v A) B) (@ (@ tptp.produc2111504612_r_l_v A2) B2)) (not (=> (= A A2) (not (= B B2)))))))
% 0.57/0.78 (assert (forall ((A (-> tptp.l tptp.l)) (B tptp.produc1156025366_r_l_v) (A2 (-> tptp.l tptp.l)) (B2 tptp.produc1156025366_r_l_v)) (=> (= (@ (@ tptp.produc2057232216_r_l_v A) B) (@ (@ tptp.produc2057232216_r_l_v A2) B2)) (not (=> (= A A2) (not (= B B2)))))))
% 0.57/0.78 (assert (forall ((A (-> tptp.l tptp.option_val_r_l_v)) (B tptp.produc1164766533_r_l_v) (A2 (-> tptp.l tptp.option_val_r_l_v)) (B2 tptp.produc1164766533_r_l_v)) (=> (= (@ (@ tptp.produc297528454_r_l_v A) B) (@ (@ tptp.produc297528454_r_l_v A2) B2)) (not (=> (= A A2) (not (= B B2)))))))
% 0.57/0.78 (assert (forall ((A (-> tptp.l tptp.option_val_r_l_v)) (B tptp.expr_r_l_v) (A2 (-> tptp.l tptp.option_val_r_l_v)) (B2 tptp.expr_r_l_v)) (=> (= (@ (@ tptp.produc1834103605_r_l_v A) B) (@ (@ tptp.produc1834103605_r_l_v A2) B2)) (not (=> (= A A2) (not (= B B2)))))))
% 0.57/0.78 (assert (forall ((P (-> tptp.produc1394974636_r_l_v Bool)) (P2 tptp.produc1394974636_r_l_v)) (=> (forall ((A3 (-> tptp.r tptp.r)) (B3 tptp.produc1489027110_r_l_v)) (@ P (@ (@ tptp.produc2111504612_r_l_v A3) B3))) (@ P P2))))
% 0.57/0.78 (assert (forall ((P (-> tptp.produc1489027110_r_l_v Bool)) (P2 tptp.produc1489027110_r_l_v)) (=> (forall ((A3 (-> tptp.l tptp.l)) (B3 tptp.produc1156025366_r_l_v)) (@ P (@ (@ tptp.produc2057232216_r_l_v A3) B3))) (@ P P2))))
% 0.57/0.78 (assert (forall ((P (-> tptp.produc1156025366_r_l_v Bool)) (P2 tptp.produc1156025366_r_l_v)) (=> (forall ((A3 (-> tptp.l tptp.option_val_r_l_v)) (B3 tptp.produc1164766533_r_l_v)) (@ P (@ (@ tptp.produc297528454_r_l_v A3) B3))) (@ P P2))))
% 0.57/0.78 (assert (forall ((P (-> tptp.produc1164766533_r_l_v Bool)) (P2 tptp.produc1164766533_r_l_v)) (=> (forall ((A3 (-> tptp.l tptp.option_val_r_l_v)) (B3 tptp.expr_r_l_v)) (@ P (@ (@ tptp.produc1834103605_r_l_v A3) B3))) (@ P P2))))
% 0.57/0.78 (assert (forall ((P2 tptp.produc1394974636_r_l_v)) (exists ((X3 (-> tptp.r tptp.r)) (Y3 tptp.produc1489027110_r_l_v)) (= P2 (@ (@ tptp.produc2111504612_r_l_v X3) Y3)))))
% 0.57/0.78 (assert (forall ((P2 tptp.produc1489027110_r_l_v)) (exists ((X3 (-> tptp.l tptp.l)) (Y3 tptp.produc1156025366_r_l_v)) (= P2 (@ (@ tptp.produc2057232216_r_l_v X3) Y3)))))
% 0.57/0.78 (assert (forall ((P2 tptp.produc1156025366_r_l_v)) (exists ((X3 (-> tptp.l tptp.option_val_r_l_v)) (Y3 tptp.produc1164766533_r_l_v)) (= P2 (@ (@ tptp.produc297528454_r_l_v X3) Y3)))))
% 0.57/0.78 (assert (forall ((P2 tptp.produc1164766533_r_l_v)) (exists ((X3 (-> tptp.l tptp.option_val_r_l_v)) (Y3 tptp.expr_r_l_v)) (= P2 (@ (@ tptp.produc1834103605_r_l_v X3) Y3)))))
% 0.57/0.78 (assert (forall ((F (-> tptp.r tptp.option1457017436_r_l_v)) (X tptp.r) (Y tptp.option1457017436_r_l_v)) (= (= (@ (@ (@ tptp.fun_up709272714_r_l_v F) X) Y) F) (= (@ F X) Y))))
% 0.57/0.78 (assert (forall ((F (-> tptp.l tptp.option_val_r_l_v)) (X tptp.l) (Y tptp.option_val_r_l_v)) (= (= (@ (@ (@ tptp.fun_up1835647912_r_l_v F) X) Y) F) (= (@ F X) Y))))
% 0.57/0.78 (assert (forall ((A tptp.r) (C tptp.r) (M (-> tptp.r tptp.option1457017436_r_l_v)) (B tptp.option1457017436_r_l_v) (D tptp.option1457017436_r_l_v)) (let ((_let_1 (@ tptp.fun_up709272714_r_l_v M))) (=> (not (= A C)) (= (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ _let_1 A) B)) C) D) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ _let_1 C) D)) A) B))))))
% 0.57/0.78 (assert (forall ((A tptp.l) (C tptp.l) (M (-> tptp.l tptp.option_val_r_l_v)) (B tptp.option_val_r_l_v) (D tptp.option_val_r_l_v)) (let ((_let_1 (@ tptp.fun_up1835647912_r_l_v M))) (=> (not (= A C)) (= (@ (@ (@ tptp.fun_up1835647912_r_l_v (@ (@ _let_1 A) B)) C) D) (@ (@ (@ tptp.fun_up1835647912_r_l_v (@ (@ _let_1 C) D)) A) B))))))
% 0.57/0.78 (assert (forall ((Z tptp.r) (X tptp.r) (F (-> tptp.r tptp.option1457017436_r_l_v)) (Y tptp.option1457017436_r_l_v)) (=> (not (= Z X)) (= (@ (@ (@ (@ tptp.fun_up709272714_r_l_v F) X) Y) Z) (@ F Z)))))
% 0.57/0.78 (assert (forall ((Z tptp.l) (X tptp.l) (F (-> tptp.l tptp.option_val_r_l_v)) (Y tptp.option_val_r_l_v)) (=> (not (= Z X)) (= (@ (@ (@ (@ tptp.fun_up1835647912_r_l_v F) X) Y) Z) (@ F Z)))))
% 0.57/0.78 (assert (forall ((F (-> tptp.r tptp.option1457017436_r_l_v)) (X tptp.r) (Y tptp.option1457017436_r_l_v)) (= (@ (@ (@ (@ tptp.fun_up709272714_r_l_v F) X) Y) X) Y)))
% 0.57/0.78 (assert (forall ((F (-> tptp.l tptp.option_val_r_l_v)) (X tptp.l) (Y tptp.option_val_r_l_v)) (= (@ (@ (@ (@ tptp.fun_up1835647912_r_l_v F) X) Y) X) Y)))
% 0.57/0.78 (assert (forall ((F (-> tptp.r tptp.option1457017436_r_l_v)) (X tptp.r) (Y tptp.option1457017436_r_l_v)) (=> (= (@ F X) Y) (= (@ (@ (@ tptp.fun_up709272714_r_l_v F) X) Y) F))))
% 0.57/0.78 (assert (forall ((F (-> tptp.l tptp.option_val_r_l_v)) (X tptp.l) (Y tptp.option_val_r_l_v)) (=> (= (@ F X) Y) (= (@ (@ (@ tptp.fun_up1835647912_r_l_v F) X) Y) F))))
% 0.57/0.78 (assert (forall ((F (-> tptp.r tptp.option1457017436_r_l_v)) (X tptp.r) (Y tptp.option1457017436_r_l_v) (G (-> tptp.r tptp.option1457017436_r_l_v)) (Z tptp.option1457017436_r_l_v)) (=> (= (@ (@ (@ tptp.fun_up709272714_r_l_v F) X) Y) (@ (@ (@ tptp.fun_up709272714_r_l_v G) X) Z)) (= Y Z))))
% 0.57/0.78 (assert (forall ((F (-> tptp.l tptp.option_val_r_l_v)) (X tptp.l) (Y tptp.option_val_r_l_v) (G (-> tptp.l tptp.option_val_r_l_v)) (Z tptp.option_val_r_l_v)) (=> (= (@ (@ (@ tptp.fun_up1835647912_r_l_v F) X) Y) (@ (@ (@ tptp.fun_up1835647912_r_l_v G) X) Z)) (= Y Z))))
% 0.57/0.78 (assert (= tptp.fun_up709272714_r_l_v (lambda ((F2 (-> tptp.r tptp.option1457017436_r_l_v)) (A4 tptp.r) (B4 tptp.option1457017436_r_l_v) (X2 tptp.r)) (@ (@ (@ tptp.if_opt1153928738_r_l_v (= X2 A4)) B4) (@ F2 X2)))))
% 0.57/0.78 (assert (= tptp.fun_up1835647912_r_l_v (lambda ((F2 (-> tptp.l tptp.option_val_r_l_v)) (A4 tptp.l) (B4 tptp.option_val_r_l_v) (X2 tptp.l)) (@ (@ (@ tptp.if_option_val_r_l_v (= X2 A4)) B4) (@ F2 X2)))))
% 0.57/0.78 (assert (forall ((P (-> tptp.produc1394974636_r_l_v Bool)) (X tptp.produc1394974636_r_l_v)) (=> (forall ((A3 (-> tptp.r tptp.r)) (B3 (-> tptp.l tptp.l)) (C2 (-> tptp.l tptp.option_val_r_l_v)) (D2 (-> tptp.l tptp.option_val_r_l_v)) (E3 tptp.expr_r_l_v)) (@ P (@ (@ tptp.produc2111504612_r_l_v A3) (@ (@ tptp.produc2057232216_r_l_v B3) (@ (@ tptp.produc297528454_r_l_v C2) (@ (@ tptp.produc1834103605_r_l_v D2) E3)))))) (@ P X))))
% 0.57/0.78 (assert (forall ((P (-> tptp.produc1394974636_r_l_v Bool)) (X tptp.produc1394974636_r_l_v)) (=> (forall ((A3 (-> tptp.r tptp.r)) (B3 (-> tptp.l tptp.l)) (C2 (-> tptp.l tptp.option_val_r_l_v)) (D2 tptp.produc1164766533_r_l_v)) (@ P (@ (@ tptp.produc2111504612_r_l_v A3) (@ (@ tptp.produc2057232216_r_l_v B3) (@ (@ tptp.produc297528454_r_l_v C2) D2))))) (@ P X))))
% 0.57/0.78 (assert (forall ((P (-> tptp.produc1489027110_r_l_v Bool)) (X tptp.produc1489027110_r_l_v)) (=> (forall ((A3 (-> tptp.l tptp.l)) (B3 (-> tptp.l tptp.option_val_r_l_v)) (C2 (-> tptp.l tptp.option_val_r_l_v)) (D2 tptp.expr_r_l_v)) (@ P (@ (@ tptp.produc2057232216_r_l_v A3) (@ (@ tptp.produc297528454_r_l_v B3) (@ (@ tptp.produc1834103605_r_l_v C2) D2))))) (@ P X))))
% 0.57/0.78 (assert (forall ((P (-> tptp.produc1394974636_r_l_v Bool)) (X tptp.produc1394974636_r_l_v)) (=> (forall ((A3 (-> tptp.r tptp.r)) (B3 (-> tptp.l tptp.l)) (C2 tptp.produc1156025366_r_l_v)) (@ P (@ (@ tptp.produc2111504612_r_l_v A3) (@ (@ tptp.produc2057232216_r_l_v B3) C2)))) (@ P X))))
% 0.57/0.78 (assert (forall ((P (-> tptp.produc1489027110_r_l_v Bool)) (X tptp.produc1489027110_r_l_v)) (=> (forall ((A3 (-> tptp.l tptp.l)) (B3 (-> tptp.l tptp.option_val_r_l_v)) (C2 tptp.produc1164766533_r_l_v)) (@ P (@ (@ tptp.produc2057232216_r_l_v A3) (@ (@ tptp.produc297528454_r_l_v B3) C2)))) (@ P X))))
% 0.57/0.78 (assert (forall ((P (-> tptp.produc1156025366_r_l_v Bool)) (X tptp.produc1156025366_r_l_v)) (=> (forall ((A3 (-> tptp.l tptp.option_val_r_l_v)) (B3 (-> tptp.l tptp.option_val_r_l_v)) (C2 tptp.expr_r_l_v)) (@ P (@ (@ tptp.produc297528454_r_l_v A3) (@ (@ tptp.produc1834103605_r_l_v B3) C2)))) (@ P X))))
% 0.57/0.78 (assert (forall ((Y tptp.produc1394974636_r_l_v)) (not (forall ((A3 (-> tptp.r tptp.r)) (B3 (-> tptp.l tptp.l)) (C2 (-> tptp.l tptp.option_val_r_l_v)) (D2 (-> tptp.l tptp.option_val_r_l_v)) (E3 tptp.expr_r_l_v)) (not (= Y (@ (@ tptp.produc2111504612_r_l_v A3) (@ (@ tptp.produc2057232216_r_l_v B3) (@ (@ tptp.produc297528454_r_l_v C2) (@ (@ tptp.produc1834103605_r_l_v D2) E3))))))))))
% 0.57/0.78 (assert (forall ((Y tptp.produc1394974636_r_l_v)) (not (forall ((A3 (-> tptp.r tptp.r)) (B3 (-> tptp.l tptp.l)) (C2 (-> tptp.l tptp.option_val_r_l_v)) (D2 tptp.produc1164766533_r_l_v)) (not (= Y (@ (@ tptp.produc2111504612_r_l_v A3) (@ (@ tptp.produc2057232216_r_l_v B3) (@ (@ tptp.produc297528454_r_l_v C2) D2)))))))))
% 0.57/0.78 (assert (forall ((Y tptp.produc1489027110_r_l_v)) (not (forall ((A3 (-> tptp.l tptp.l)) (B3 (-> tptp.l tptp.option_val_r_l_v)) (C2 (-> tptp.l tptp.option_val_r_l_v)) (D2 tptp.expr_r_l_v)) (not (= Y (@ (@ tptp.produc2057232216_r_l_v A3) (@ (@ tptp.produc297528454_r_l_v B3) (@ (@ tptp.produc1834103605_r_l_v C2) D2)))))))))
% 0.57/0.78 (assert (forall ((Y tptp.produc1394974636_r_l_v)) (not (forall ((A3 (-> tptp.r tptp.r)) (B3 (-> tptp.l tptp.l)) (C2 tptp.produc1156025366_r_l_v)) (not (= Y (@ (@ tptp.produc2111504612_r_l_v A3) (@ (@ tptp.produc2057232216_r_l_v B3) C2))))))))
% 0.57/0.78 (assert (forall ((Y tptp.produc1489027110_r_l_v)) (not (forall ((A3 (-> tptp.l tptp.l)) (B3 (-> tptp.l tptp.option_val_r_l_v)) (C2 tptp.produc1164766533_r_l_v)) (not (= Y (@ (@ tptp.produc2057232216_r_l_v A3) (@ (@ tptp.produc297528454_r_l_v B3) C2))))))))
% 0.57/0.78 (assert (forall ((Y tptp.produc1156025366_r_l_v)) (not (forall ((A3 (-> tptp.l tptp.option_val_r_l_v)) (B3 (-> tptp.l tptp.option_val_r_l_v)) (C2 tptp.expr_r_l_v)) (not (= Y (@ (@ tptp.produc297528454_r_l_v A3) (@ (@ tptp.produc1834103605_r_l_v B3) C2))))))))
% 0.57/0.78 (assert (forall ((M (-> tptp.r tptp.option1457017436_r_l_v)) (A tptp.r) (B tptp.produc1156025366_r_l_v) (X tptp.r) (Y tptp.produc1156025366_r_l_v)) (let ((_let_1 (@ tptp.some_P1807977723_r_l_v Y))) (let ((_let_2 (= X A))) (= (= (@ (@ (@ (@ tptp.fun_up709272714_r_l_v M) A) (@ tptp.some_P1807977723_r_l_v B)) X) _let_1) (or (and _let_2 (= B Y)) (and (not _let_2) (= (@ M X) _let_1))))))))
% 0.57/0.78 (assert (forall ((M (-> tptp.l tptp.option_val_r_l_v)) (A tptp.l) (B tptp.val_r_l_v) (X tptp.l) (Y tptp.val_r_l_v)) (let ((_let_1 (@ tptp.some_val_r_l_v Y))) (let ((_let_2 (= X A))) (= (= (@ (@ (@ (@ tptp.fun_up1835647912_r_l_v M) A) (@ tptp.some_val_r_l_v B)) X) _let_1) (or (and _let_2 (= B Y)) (and (not _let_2) (= (@ M X) _let_1))))))))
% 0.57/0.78 (assert (forall ((T (-> tptp.r tptp.option1457017436_r_l_v)) (K tptp.r) (X tptp.produc1156025366_r_l_v)) (let ((_let_1 (@ tptp.some_P1807977723_r_l_v X))) (=> (= (@ T K) _let_1) (= (@ (@ (@ tptp.fun_up709272714_r_l_v T) K) _let_1) T)))))
% 0.57/0.78 (assert (forall ((T (-> tptp.l tptp.option_val_r_l_v)) (K tptp.l) (X tptp.val_r_l_v)) (let ((_let_1 (@ tptp.some_val_r_l_v X))) (=> (= (@ T K) _let_1) (= (@ (@ (@ tptp.fun_up1835647912_r_l_v T) K) _let_1) T)))))
% 0.57/0.78 (assert (forall ((Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E4 tptp.expr_r_l_v)) (= (@ tptp.lID_lo1265057957_l_r_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) E4))) Tau2)))
% 0.57/0.78 (assert (forall ((X tptp.produc1156025366_r_l_v) (Y (-> tptp.l tptp.option_val_r_l_v))) (=> (= (@ tptp.lID_lo1265057957_l_r_v X) Y) (not (forall ((Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v))) (=> (exists ((E3 tptp.expr_r_l_v)) (= X (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) E3)))) (not (= Y Tau))))))))
% 0.57/0.78 (assert (forall ((Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E4 tptp.expr_r_l_v)) (= (@ tptp.lID_expression_l_r_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) E4))) E4)))
% 0.57/0.78 (assert (forall ((X tptp.produc1156025366_r_l_v) (Y tptp.expr_r_l_v)) (=> (= (@ tptp.lID_expression_l_r_v X) Y) (not (forall ((Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E3 tptp.expr_r_l_v)) (=> (= X (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) E3))) (not (= Y E3))))))))
% 0.57/0.78 (assert (forall ((A tptp.set_l) (P (-> tptp.set_l Bool))) (= (@ (@ tptp.member_set_l A) (@ tptp.collect_set_l P)) (@ P A))))
% 0.57/0.78 (assert (forall ((A tptp.set_r) (P (-> tptp.set_r Bool))) (= (@ (@ tptp.member_set_r A) (@ tptp.collect_set_r P)) (@ P A))))
% 0.57/0.78 (assert (forall ((A tptp.r) (P (-> tptp.r Bool))) (= (@ (@ tptp.member_r A) (@ tptp.collect_r P)) (@ P A))))
% 0.57/0.78 (assert (forall ((A tptp.l) (P (-> tptp.l Bool))) (= (@ (@ tptp.member_l A) (@ tptp.collect_l P)) (@ P A))))
% 0.57/0.78 (assert (forall ((A5 tptp.set_set_l)) (= (@ tptp.collect_set_l (lambda ((X2 tptp.set_l)) (@ (@ tptp.member_set_l X2) A5))) A5)))
% 0.57/0.78 (assert (forall ((A5 tptp.set_set_r)) (= (@ tptp.collect_set_r (lambda ((X2 tptp.set_r)) (@ (@ tptp.member_set_r X2) A5))) A5)))
% 0.57/0.78 (assert (forall ((A5 tptp.set_r)) (= (@ tptp.collect_r (lambda ((X2 tptp.r)) (@ (@ tptp.member_r X2) A5))) A5)))
% 0.57/0.78 (assert (forall ((A5 tptp.set_l)) (= (@ tptp.collect_l (lambda ((X2 tptp.l)) (@ (@ tptp.member_l X2) A5))) A5)))
% 0.57/0.78 (assert (forall ((P (-> tptp.l Bool)) (Q (-> tptp.l Bool))) (=> (forall ((X3 tptp.l)) (= (@ P X3) (@ Q X3))) (= (@ tptp.collect_l P) (@ tptp.collect_l Q)))))
% 0.57/0.78 (assert (forall ((P (-> tptp.r Bool)) (Q (-> tptp.r Bool))) (=> (forall ((X3 tptp.r)) (= (@ P X3) (@ Q X3))) (= (@ tptp.collect_r P) (@ tptp.collect_r Q)))))
% 0.57/0.78 (assert (forall ((P (-> tptp.set_l Bool)) (Q (-> tptp.set_l Bool))) (=> (forall ((X3 tptp.set_l)) (= (@ P X3) (@ Q X3))) (= (@ tptp.collect_set_l P) (@ tptp.collect_set_l Q)))))
% 0.57/0.78 (assert (forall ((P (-> tptp.set_r Bool)) (Q (-> tptp.set_r Bool))) (=> (forall ((X3 tptp.set_r)) (= (@ P X3) (@ Q X3))) (= (@ tptp.collect_set_r P) (@ tptp.collect_set_r Q)))))
% 0.57/0.78 (assert (not (@ (@ tptp.member_r tptp.r3) (@ tptp.rID_G_r_l_v tptp.s))))
% 0.57/0.78 (assert (forall ((Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E4 tptp.expr_r_l_v)) (= (@ tptp.lID_snapshot_l_r_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) E4))) Sigma2)))
% 0.57/0.78 (assert (forall ((X tptp.produc1156025366_r_l_v) (Y (-> tptp.l tptp.option_val_r_l_v))) (=> (= (@ tptp.lID_snapshot_l_r_v X) Y) (not (forall ((Sigma (-> tptp.l tptp.option_val_r_l_v))) (=> (exists ((Tau (-> tptp.l tptp.option_val_r_l_v)) (E3 tptp.expr_r_l_v)) (= X (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) E3)))) (not (= Y Sigma))))))))
% 0.57/0.78 (assert (= tptp.s2 (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v tptp.s) tptp.r2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v tptp.sigma) (@ (@ tptp.produc1834103605_r_l_v tptp.tau) (@ (@ tptp.plug_r_l_v tptp.e) (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v tptp.r3)))))))) tptp.r3) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v (@ (@ tptp.combine_l_val_r_l_v tptp.sigma) tptp.tau)) (@ (@ tptp.produc1834103605_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) tptp.e2))))))
% 0.57/0.78 (assert (forall ((X1 tptp.val_r_l_v) (Y1 tptp.val_r_l_v)) (= (= (@ tptp.vE_r_l_v X1) (@ tptp.vE_r_l_v Y1)) (= X1 Y1))))
% 0.57/0.78 (assert (forall ((X4 tptp.r) (Y4 tptp.r)) (= (= (@ tptp.rid_r_l_v X4) (@ tptp.rid_r_l_v Y4)) (= X4 Y4))))
% 0.57/0.78 (assert (forall ((X tptp.option1457017436_r_l_v)) (= (not (= X tptp.none_P277133687_r_l_v)) (exists ((Y2 tptp.produc1156025366_r_l_v)) (= X (@ tptp.some_P1807977723_r_l_v Y2))))))
% 0.57/0.78 (assert (forall ((X tptp.option_val_r_l_v)) (= (not (= X tptp.none_val_r_l_v)) (exists ((Y2 tptp.val_r_l_v)) (= X (@ tptp.some_val_r_l_v Y2))))))
% 0.57/0.78 (assert (forall ((X tptp.option1457017436_r_l_v)) (= (forall ((Y2 tptp.produc1156025366_r_l_v)) (not (= X (@ tptp.some_P1807977723_r_l_v Y2)))) (= X tptp.none_P277133687_r_l_v))))
% 0.57/0.78 (assert (forall ((X tptp.option_val_r_l_v)) (= (forall ((Y2 tptp.val_r_l_v)) (not (= X (@ tptp.some_val_r_l_v Y2)))) (= X tptp.none_val_r_l_v))))
% 0.57/0.78 (assert (forall ((X tptp.l)) (= (@ (@ (@ tptp.fun_up1835647912_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) X) tptp.none_val_r_l_v) (lambda ((X2 tptp.l)) tptp.none_val_r_l_v))))
% 0.57/0.78 (assert (forall ((X tptp.r)) (= (@ (@ (@ tptp.fun_up709272714_r_l_v (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v)) X) tptp.none_P277133687_r_l_v) (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v))))
% 0.57/0.78 (assert (forall ((X (-> tptp.l tptp.option_val_r_l_v)) (Xa (-> tptp.l tptp.option_val_r_l_v)) (Xb tptp.l) (Y tptp.option_val_r_l_v)) (let ((_let_1 (@ Xa Xb))) (let ((_let_2 (= _let_1 tptp.none_val_r_l_v))) (=> (= (@ (@ (@ tptp.combine_l_val_r_l_v X) Xa) Xb) Y) (and (=> _let_2 (= Y (@ X Xb))) (=> (not _let_2) (= Y _let_1))))))))
% 0.57/0.78 (assert (= tptp.combine_l_val_r_l_v (lambda ((F2 (-> tptp.l tptp.option_val_r_l_v)) (G2 (-> tptp.l tptp.option_val_r_l_v)) (X2 tptp.l)) (let ((_let_1 (@ G2 X2))) (@ (@ (@ tptp.if_option_val_r_l_v (= _let_1 tptp.none_val_r_l_v)) (@ F2 X2)) _let_1)))))
% 0.57/0.78 (assert (forall ((X22 tptp.produc1156025366_r_l_v)) (not (= tptp.none_P277133687_r_l_v (@ tptp.some_P1807977723_r_l_v X22)))))
% 0.57/0.78 (assert (forall ((X22 tptp.val_r_l_v)) (not (= tptp.none_val_r_l_v (@ tptp.some_val_r_l_v X22)))))
% 0.57/0.78 (assert (forall ((Option tptp.option1457017436_r_l_v) (X22 tptp.produc1156025366_r_l_v)) (=> (= Option (@ tptp.some_P1807977723_r_l_v X22)) (not (= Option tptp.none_P277133687_r_l_v)))))
% 0.57/0.78 (assert (forall ((Option tptp.option_val_r_l_v) (X22 tptp.val_r_l_v)) (=> (= Option (@ tptp.some_val_r_l_v X22)) (not (= Option tptp.none_val_r_l_v)))))
% 0.57/0.78 (assert (forall ((Y tptp.option1457017436_r_l_v)) (=> (not (= Y tptp.none_P277133687_r_l_v)) (not (forall ((X23 tptp.produc1156025366_r_l_v)) (not (= Y (@ tptp.some_P1807977723_r_l_v X23))))))))
% 0.57/0.78 (assert (forall ((Y tptp.option_val_r_l_v)) (=> (not (= Y tptp.none_val_r_l_v)) (not (forall ((X23 tptp.val_r_l_v)) (not (= Y (@ tptp.some_val_r_l_v X23))))))))
% 0.57/0.78 (assert (forall ((P (-> tptp.option1457017436_r_l_v Bool)) (Option tptp.option1457017436_r_l_v)) (=> (@ P tptp.none_P277133687_r_l_v) (=> (forall ((X3 tptp.produc1156025366_r_l_v)) (@ P (@ tptp.some_P1807977723_r_l_v X3))) (@ P Option)))))
% 0.57/0.78 (assert (forall ((P (-> tptp.option_val_r_l_v Bool)) (Option tptp.option_val_r_l_v)) (=> (@ P tptp.none_val_r_l_v) (=> (forall ((X3 tptp.val_r_l_v)) (@ P (@ tptp.some_val_r_l_v X3))) (@ P Option)))))
% 0.57/0.78 (assert (= (lambda ((P3 (-> tptp.option1457017436_r_l_v Bool))) (exists ((X5 tptp.option1457017436_r_l_v)) (@ P3 X5))) (lambda ((P4 (-> tptp.option1457017436_r_l_v Bool))) (or (@ P4 tptp.none_P277133687_r_l_v) (exists ((X2 tptp.produc1156025366_r_l_v)) (@ P4 (@ tptp.some_P1807977723_r_l_v X2)))))))
% 0.57/0.78 (assert (= (lambda ((P3 (-> tptp.option_val_r_l_v Bool))) (exists ((X5 tptp.option_val_r_l_v)) (@ P3 X5))) (lambda ((P4 (-> tptp.option_val_r_l_v Bool))) (or (@ P4 tptp.none_val_r_l_v) (exists ((X2 tptp.val_r_l_v)) (@ P4 (@ tptp.some_val_r_l_v X2)))))))
% 0.57/0.78 (assert (= (lambda ((P3 (-> tptp.option1457017436_r_l_v Bool))) (forall ((X5 tptp.option1457017436_r_l_v)) (@ P3 X5))) (lambda ((P4 (-> tptp.option1457017436_r_l_v Bool))) (and (@ P4 tptp.none_P277133687_r_l_v) (forall ((X2 tptp.produc1156025366_r_l_v)) (@ P4 (@ tptp.some_P1807977723_r_l_v X2)))))))
% 0.57/0.78 (assert (= (lambda ((P3 (-> tptp.option_val_r_l_v Bool))) (forall ((X5 tptp.option_val_r_l_v)) (@ P3 X5))) (lambda ((P4 (-> tptp.option_val_r_l_v Bool))) (and (@ P4 tptp.none_val_r_l_v) (forall ((X2 tptp.val_r_l_v)) (@ P4 (@ tptp.some_val_r_l_v X2)))))))
% 0.57/0.78 (assert (forall ((X tptp.option1457017436_r_l_v) (P (-> tptp.option1457017436_r_l_v tptp.option1457017436_r_l_v Bool)) (Y tptp.option1457017436_r_l_v)) (let ((_let_1 (@ (@ P X) Y))) (=> (=> (= X tptp.none_P277133687_r_l_v) _let_1) (=> (=> (= Y tptp.none_P277133687_r_l_v) _let_1) (=> (forall ((A3 tptp.produc1156025366_r_l_v) (B3 tptp.produc1156025366_r_l_v)) (=> (= X (@ tptp.some_P1807977723_r_l_v A3)) (=> (= Y (@ tptp.some_P1807977723_r_l_v B3)) (@ (@ P X) Y)))) _let_1))))))
% 0.57/0.78 (assert (forall ((X tptp.option1457017436_r_l_v) (P (-> tptp.option1457017436_r_l_v tptp.option_val_r_l_v Bool)) (Y tptp.option_val_r_l_v)) (let ((_let_1 (@ (@ P X) Y))) (=> (=> (= X tptp.none_P277133687_r_l_v) _let_1) (=> (=> (= Y tptp.none_val_r_l_v) _let_1) (=> (forall ((A3 tptp.produc1156025366_r_l_v) (B3 tptp.val_r_l_v)) (=> (= X (@ tptp.some_P1807977723_r_l_v A3)) (=> (= Y (@ tptp.some_val_r_l_v B3)) (@ (@ P X) Y)))) _let_1))))))
% 0.57/0.78 (assert (forall ((X tptp.option_val_r_l_v) (P (-> tptp.option_val_r_l_v tptp.option1457017436_r_l_v Bool)) (Y tptp.option1457017436_r_l_v)) (let ((_let_1 (@ (@ P X) Y))) (=> (=> (= X tptp.none_val_r_l_v) _let_1) (=> (=> (= Y tptp.none_P277133687_r_l_v) _let_1) (=> (forall ((A3 tptp.val_r_l_v) (B3 tptp.produc1156025366_r_l_v)) (=> (= X (@ tptp.some_val_r_l_v A3)) (=> (= Y (@ tptp.some_P1807977723_r_l_v B3)) (@ (@ P X) Y)))) _let_1))))))
% 0.57/0.78 (assert (forall ((X tptp.option_val_r_l_v) (P (-> tptp.option_val_r_l_v tptp.option_val_r_l_v Bool)) (Y tptp.option_val_r_l_v)) (let ((_let_1 (@ (@ P X) Y))) (=> (=> (= X tptp.none_val_r_l_v) _let_1) (=> (=> (= Y tptp.none_val_r_l_v) _let_1) (=> (forall ((A3 tptp.val_r_l_v) (B3 tptp.val_r_l_v)) (=> (= X (@ tptp.some_val_r_l_v A3)) (=> (= Y (@ tptp.some_val_r_l_v B3)) (@ (@ P X) Y)))) _let_1))))))
% 0.57/0.78 (assert (forall ((X1 tptp.val_r_l_v) (X7 tptp.expr_r_l_v)) (not (= (@ tptp.vE_r_l_v X1) (@ tptp.rfork_r_l_v X7)))))
% 0.57/0.78 (assert (forall ((T (-> tptp.r tptp.option1457017436_r_l_v)) (K tptp.r) (X tptp.produc1156025366_r_l_v)) (not (= (@ (@ (@ tptp.fun_up709272714_r_l_v T) K) (@ tptp.some_P1807977723_r_l_v X)) (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v)))))
% 0.57/0.78 (assert (forall ((T (-> tptp.l tptp.option_val_r_l_v)) (K tptp.l) (X tptp.val_r_l_v)) (not (= (@ (@ (@ tptp.fun_up1835647912_r_l_v T) K) (@ tptp.some_val_r_l_v X)) (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)))))
% 0.57/0.78 (assert (forall ((X tptp.r) (X6 tptp.r) (F (-> tptp.r tptp.option1457017436_r_l_v)) (Y tptp.produc1156025366_r_l_v)) (let ((_let_1 (@ tptp.some_P1807977723_r_l_v Y))) (let ((_let_2 (@ tptp.fun_up709272714_r_l_v F))) (=> (not (= X X6)) (= (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ _let_2 X) _let_1)) X6) tptp.none_P277133687_r_l_v) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ _let_2 X6) tptp.none_P277133687_r_l_v)) X) _let_1)))))))
% 0.57/0.78 (assert (forall ((X tptp.l) (X6 tptp.l) (F (-> tptp.l tptp.option_val_r_l_v)) (Y tptp.val_r_l_v)) (let ((_let_1 (@ tptp.some_val_r_l_v Y))) (let ((_let_2 (@ tptp.fun_up1835647912_r_l_v F))) (=> (not (= X X6)) (= (@ (@ (@ tptp.fun_up1835647912_r_l_v (@ (@ _let_2 X) _let_1)) X6) tptp.none_val_r_l_v) (@ (@ (@ tptp.fun_up1835647912_r_l_v (@ (@ _let_2 X6) tptp.none_val_r_l_v)) X) _let_1)))))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (V tptp.produc1156025366_r_l_v)) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v V)) (@ (@ tptp.member_r R) (@ tptp.rID_G_r_l_v S)))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (E4 tptp.expr_r_l_v) (R2 tptp.r)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc1834103605_r_l_v Tau2))) (let ((_let_3 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.rfork_r_l_v E4)))))) (=> (not (@ (@ tptp.member_r R2) (@ tptp.rID_G_r_l_v S))) (@ (@ (@ (@ tptp.revisi1291188644_r_l_v tptp.subst) R) S) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) R2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v (@ (@ tptp.combine_l_val_r_l_v Sigma2) Tau2)) (@ (@ tptp.produc1834103605_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) E4))))))))))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (E4 tptp.expr_r_l_v) (R2 tptp.r)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc1834103605_r_l_v Tau2))) (let ((_let_3 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.rfork_r_l_v E4)))))) (=> (not (@ (@ tptp.member_r R2) (@ tptp.rID_G_r_l_v S))) (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) R2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v (@ (@ tptp.combine_l_val_r_l_v Sigma2) Tau2)) (@ (@ tptp.produc1834103605_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) E4))))))))))))
% 0.57/0.78 (assert (not (@ (@ tptp.member_r (@ tptp.alpha tptp.r3)) (@ tptp.rID_G_r_l_v (@ (@ (@ tptp.r_G_r_l_v tptp.alpha) tptp.beta) tptp.s)))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (E4 tptp.expr_r_l_v) (R2 tptp.r)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc1834103605_r_l_v Tau2))) (let ((_let_3 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.rfork_r_l_v E4)))))) (=> (not (@ (@ tptp.member_r R2) (@ tptp.rID_G_r_l_v S))) (@ (@ (@ (@ tptp.revisi1291188644_r_l_v Subst) R) S) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) R2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v (@ (@ tptp.combine_l_val_r_l_v Sigma2) Tau2)) (@ (@ tptp.produc1834103605_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) E4)))))))))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (E4 tptp.expr_r_l_v) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ (@ tptp.plug_r_l_v E) (@ tptp.rfork_r_l_v E4)))))) (= (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) S2) (exists ((R3 tptp.r)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc1834103605_r_l_v Tau2))) (let ((_let_3 (@ tptp.produc297528454_r_l_v Sigma2))) (let ((_let_4 (@ (@ tptp.fun_up709272714_r_l_v S) R))) (and (not (@ (@ tptp.member_r R3) (@ tptp.rID_G_r_l_v (@ _let_4 (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.rfork_r_l_v E4))))))))) (= S2 (@ (@ (@ tptp.fun_up709272714_r_l_v (@ _let_4 (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R3)))))))) R3) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v (@ (@ tptp.combine_l_val_r_l_v Sigma2) Tau2)) (@ (@ tptp.produc1834103605_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) E4))))))))))))))))
% 0.57/0.78 (assert (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) tptp.r2) tptp.s) tptp.s2))
% 0.57/0.78 (assert (@ tptp.substitution_r_l_v tptp.subst))
% 0.57/0.78 (assert (forall ((Alpha2 (-> tptp.r tptp.r)) (Beta2 (-> tptp.l tptp.l))) (= (@ (@ (@ tptp.r_G_r_l_v Alpha2) Beta2) (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v)) (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v))))
% 0.57/0.78 (assert (forall ((R2 tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r)) (let ((_let_1 (@ tptp.member_r R2))) (=> (@ _let_1 (@ tptp.rID_G_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) tptp.none_P277133687_r_l_v))) (@ _let_1 (@ tptp.rID_G_r_l_v S))))))
% 0.57/0.78 (assert (forall ((R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r)) (let ((_let_1 (@ tptp.member_r R2))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (=> (forall ((Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E5 tptp.cntxt_r_l_v) (E3 tptp.expr_r_l_v)) (not (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) (@ (@ tptp.plug_r_l_v E5) (@ tptp.rfork_r_l_v E3)))))))) (=> (not (@ _let_1 (@ tptp.rID_G_r_l_v S))) (not (@ _let_1 (@ tptp.rID_G_r_l_v S2)))))))))
% 0.57/0.78 (assert (forall ((R2 tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Ls tptp.produc1156025366_r_l_v)) (let ((_let_1 (@ (@ tptp.fun_up709272714_r_l_v S) R))) (let ((_let_2 (@ tptp.member_r R2))) (=> (@ _let_2 (@ tptp.rID_G_r_l_v (@ _let_1 tptp.none_P277133687_r_l_v))) (@ _let_2 (@ tptp.rID_G_r_l_v (@ _let_1 (@ tptp.some_P1807977723_r_l_v Ls)))))))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (E4 tptp.expr_r_l_v) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ (@ tptp.plug_r_l_v E) (@ tptp.rfork_r_l_v E4)))))) (= (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (exists ((R3 tptp.r)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc1834103605_r_l_v Tau2))) (let ((_let_3 (@ tptp.produc297528454_r_l_v Sigma2))) (let ((_let_4 (@ (@ tptp.fun_up709272714_r_l_v S) R))) (and (not (@ (@ tptp.member_r R3) (@ tptp.rID_G_r_l_v (@ _let_4 (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.rfork_r_l_v E4))))))))) (= S2 (@ (@ (@ tptp.fun_up709272714_r_l_v (@ _let_4 (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R3)))))))) R3) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v (@ (@ tptp.combine_l_val_r_l_v Sigma2) Tau2)) (@ (@ tptp.produc1834103605_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) E4)))))))))))))))
% 0.57/0.78 (assert (= tptp.revision_step_r_l_v tptp.revision_step_r_l_v))
% 0.57/0.78 (assert (= tptp.revisi1291188644_r_l_v tptp.revisi1291188644_r_l_v))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r)) (let ((_let_1 (@ tptp.member_r R2))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) S2) (=> (forall ((Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E5 tptp.cntxt_r_l_v) (E3 tptp.expr_r_l_v)) (not (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) (@ (@ tptp.plug_r_l_v E5) (@ tptp.rfork_r_l_v E3)))))))) (=> (not (@ _let_1 (@ tptp.rID_G_r_l_v S))) (not (@ _let_1 (@ tptp.rID_G_r_l_v S2))))))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (E4 tptp.expr_r_l_v) (R2 tptp.r)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc1834103605_r_l_v Tau2))) (let ((_let_3 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.rfork_r_l_v E4)))))) (=> (not (@ (@ tptp.member_r R2) (@ tptp.rID_G_r_l_v S))) (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) R2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v (@ (@ tptp.combine_l_val_r_l_v Sigma2) Tau2)) (@ (@ tptp.produc1834103605_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) E4)))))))))))))
% 0.57/0.78 (assert (forall ((S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (X tptp.produc1156025366_r_l_v) (S_22 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R4 tptp.r) (E4 tptp.expr_r_l_v)) (let ((_let_1 (@ tptp.some_P1807977723_r_l_v X))) (let ((_let_2 (@ tptp.produc297528454_r_l_v (@ (@ tptp.combine_l_val_r_l_v Sigma2) Tau2)))) (let ((_let_3 (@ tptp.plug_r_l_v E))) (let ((_let_4 (@ tptp.produc1834103605_r_l_v Tau2))) (let ((_let_5 (@ tptp.produc297528454_r_l_v Sigma2))) (let ((_let_6 (@ tptp.fun_up709272714_r_l_v S_1))) (let ((_let_7 (@ (@ tptp.fun_up709272714_r_l_v (@ (@ _let_6 R2) (@ tptp.some_P1807977723_r_l_v (@ _let_5 (@ _let_4 (@ _let_3 (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R4)))))))) R4))) (=> (= S_2 (@ (@ _let_6 R) _let_1)) (=> (= S_22 (@ _let_7 (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) E4))))) (=> (= (@ S_2 R2) (@ tptp.some_P1807977723_r_l_v (@ _let_5 (@ _let_4 (@ _let_3 (@ tptp.rfork_r_l_v E4)))))) (=> (not (@ (@ tptp.member_r R4) (@ tptp.rID_G_r_l_v S_2))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S_22) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ _let_7 (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) E4))))) R) _let_1)) (=> (not (= R R2)) (=> (not (= R R4)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v tptp.subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32)))))))))))))))))))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R2 tptp.r)) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ (@ tptp.plug_r_l_v E) (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) (=> (= (@ S R2) tptp.none_P277133687_r_l_v) (@ (@ (@ (@ tptp.revisi1291188644_r_l_v tptp.subst) R) S) (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v))))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R2 tptp.r)) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ (@ tptp.plug_r_l_v E) (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) (=> (= (@ S R2) tptp.none_P277133687_r_l_v) (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (X tptp.produc1156025366_r_l_v) (S_22 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R4 tptp.r) (E4 tptp.expr_r_l_v)) (let ((_let_1 (@ tptp.some_P1807977723_r_l_v X))) (let ((_let_2 (@ tptp.produc297528454_r_l_v (@ (@ tptp.combine_l_val_r_l_v Sigma2) Tau2)))) (let ((_let_3 (@ tptp.plug_r_l_v E))) (let ((_let_4 (@ tptp.produc1834103605_r_l_v Tau2))) (let ((_let_5 (@ tptp.produc297528454_r_l_v Sigma2))) (let ((_let_6 (@ tptp.fun_up709272714_r_l_v S_1))) (let ((_let_7 (@ (@ tptp.fun_up709272714_r_l_v (@ (@ _let_6 R2) (@ tptp.some_P1807977723_r_l_v (@ _let_5 (@ _let_4 (@ _let_3 (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R4)))))))) R4))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= S_2 (@ (@ _let_6 R) _let_1)) (=> (= S_22 (@ _let_7 (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) E4))))) (=> (= (@ S_2 R2) (@ tptp.some_P1807977723_r_l_v (@ _let_5 (@ _let_4 (@ _let_3 (@ tptp.rfork_r_l_v E4)))))) (=> (not (@ (@ tptp.member_r R4) (@ tptp.rID_G_r_l_v S_2))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S_22) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ _let_7 (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) E4))))) R) _let_1)) (=> (not (= R R2)) (=> (not (= R R4)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v Subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32))))))))))))))))))))))
% 0.57/0.78 (assert (forall ((S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (X tptp.produc1156025366_r_l_v) (S_22 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (Y tptp.produc1156025366_r_l_v)) (let ((_let_1 (@ tptp.some_P1807977723_r_l_v X))) (let ((_let_2 (@ tptp.some_P1807977723_r_l_v Y))) (let ((_let_3 (@ tptp.fun_up709272714_r_l_v S_1))) (let ((_let_4 (@ (@ _let_3 R2) _let_2))) (let ((_let_5 (@ tptp.revision_step_r_l_v tptp.subst))) (let ((_let_6 (@ (@ _let_3 R) _let_1))) (=> (= S_2 _let_6) (=> (= S_22 _let_4) (=> (@ (@ (@ _let_5 R2) _let_6) (@ (@ (@ tptp.fun_up709272714_r_l_v _let_6) R2) _let_2)) (=> (@ (@ (@ _let_5 R) _let_4) (@ (@ (@ tptp.fun_up709272714_r_l_v _let_4) R) _let_1)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v tptp.subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32)))))))))))))))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ tptp.reachable_r_l_v tptp.subst) S) (= (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (@ (@ (@ (@ tptp.revisi1291188644_r_l_v tptp.subst) R) S) S2)))))
% 0.57/0.78 (assert (forall ((R tptp.r) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S_1))) (=> (@ _let_1 S_2) (=> (@ _let_1 S_22) (@ (@ tptp.eq_states_r_l_v S_2) S_22))))))
% 0.57/0.78 (assert (forall ((R2 tptp.r) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (exists ((S_33 (-> tptp.r tptp.option1457017436_r_l_v)) (S_34 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v tptp.subst))) (and (@ (@ tptp.eq_states_r_l_v S_33) S_34) (or (@ (@ (@ _let_1 R2) S_2) S_33) (= S_2 S_33)) (or (@ (@ (@ _let_1 R) S_22) S_34) (= S_22 S_34))))) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v tptp.subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R) S_22) S_3) (= S_22 S_3)) (or (@ (@ (@ _let_1 R2) S_2) S_32) (= S_2 S_32))))))))
% 0.57/0.78 (assert (forall ((S_35 (-> tptp.r tptp.option1457017436_r_l_v)) (S_36 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v tptp.subst))) (let ((_let_2 (@ (@ (@ _let_1 R) S_22) S_36))) (let ((_let_3 (@ (@ (@ _let_1 R2) S_2) S_35))) (=> (= S_35 S_36) (=> _let_3 (=> _let_2 (and (@ (@ tptp.eq_states_r_l_v S_35) S_36) (or _let_3 (= S_2 S_35)) (or _let_2 (= S_22 S_36)))))))))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.reachable_r_l_v tptp.subst))) (=> (@ _let_1 S) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (@ _let_1 S2))))))
% 0.57/0.78 (assert (forall ((X8 tptp.expr_r_l_v) (Y8 tptp.expr_r_l_v)) (= (= (@ tptp.rjoin_r_l_v X8) (@ tptp.rjoin_r_l_v Y8)) (= X8 Y8))))
% 0.57/0.78 (assert (forall ((S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R4 tptp.r) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (= (@ S_1 R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ (@ tptp.plug_r_l_v E) (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R4)))))))) (=> (= S_2 (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v)) (=> (= (@ S_1 R4) tptp.none_P277133687_r_l_v) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R2) S_1) S_22) (=> (not (= R R2)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v tptp.subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32))))))))))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v))) (= (@ (@ tptp.reachable_r_l_v tptp.subst) S) (exists ((E6 tptp.expr_r_l_v) (S3 (-> tptp.r tptp.option1457017436_r_l_v))) (@ (@ (@ (@ tptp.execution_r_l_v tptp.subst) E6) S3) S)))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R2 tptp.r) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ (@ tptp.plug_r_l_v E) (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) (=> (= (@ S R2) tptp.none_P277133687_r_l_v) (= (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (= S2 (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v)))))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ tptp.eq_states_r_l_v S) S2) (@ (@ tptp.eq_states_r_l_v S2) S))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v))) (@ (@ tptp.eq_states_r_l_v S) S)))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v)) (S4 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.eq_states_r_l_v S))) (=> (@ _let_1 S2) (=> (@ (@ tptp.eq_states_r_l_v S2) S4) (@ _let_1 S4))))))
% 0.57/0.78 (assert (forall ((X1 tptp.val_r_l_v) (X8 tptp.expr_r_l_v)) (not (= (@ tptp.vE_r_l_v X1) (@ tptp.rjoin_r_l_v X8)))))
% 0.57/0.78 (assert (forall ((X7 tptp.expr_r_l_v) (X8 tptp.expr_r_l_v)) (not (= (@ tptp.rfork_r_l_v X7) (@ tptp.rjoin_r_l_v X8)))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (R tptp.r) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S_1))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ _let_1 S_2) (=> (@ _let_1 S_22) (@ (@ tptp.eq_states_r_l_v S_2) S_22)))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S_35 (-> tptp.r tptp.option1457017436_r_l_v)) (S_36 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v Subst))) (let ((_let_2 (@ (@ (@ _let_1 R) S_22) S_36))) (let ((_let_3 (@ (@ (@ _let_1 R2) S_2) S_35))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= S_35 S_36) (=> _let_3 (=> _let_2 (and (@ (@ tptp.eq_states_r_l_v S_35) S_36) (or _let_3 (= S_2 S_35)) (or _let_2 (= S_22 S_36))))))))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (R2 tptp.r) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (exists ((S_33 (-> tptp.r tptp.option1457017436_r_l_v)) (S_34 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v Subst))) (and (@ (@ tptp.eq_states_r_l_v S_33) S_34) (or (@ (@ (@ _let_1 R2) S_2) S_33) (= S_2 S_33)) (or (@ (@ (@ _let_1 R) S_22) S_34) (= S_22 S_34))))) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v Subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R) S_22) S_3) (= S_22 S_3)) (or (@ (@ (@ _let_1 R2) S_2) S_32) (= S_2 S_32)))))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R4 tptp.r) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S_1 R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ (@ tptp.plug_r_l_v E) (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R4)))))))) (=> (= S_2 (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v)) (=> (= (@ S_1 R4) tptp.none_P277133687_r_l_v) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R2) S_1) S_22) (=> (not (= R R2)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v Subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32)))))))))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (X tptp.produc1156025366_r_l_v) (S_22 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (Y tptp.produc1156025366_r_l_v)) (let ((_let_1 (@ tptp.some_P1807977723_r_l_v X))) (let ((_let_2 (@ tptp.some_P1807977723_r_l_v Y))) (let ((_let_3 (@ tptp.fun_up709272714_r_l_v S_1))) (let ((_let_4 (@ (@ _let_3 R2) _let_2))) (let ((_let_5 (@ tptp.revision_step_r_l_v Subst))) (let ((_let_6 (@ (@ _let_3 R) _let_1))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= S_2 _let_6) (=> (= S_22 _let_4) (=> (@ (@ (@ _let_5 R2) _let_6) (@ (@ (@ tptp.fun_up709272714_r_l_v _let_6) R2) _let_2)) (=> (@ (@ (@ _let_5 R) _let_4) (@ (@ (@ tptp.fun_up709272714_r_l_v _let_4) R) _let_1)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v Subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32))))))))))))))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R2 tptp.r) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ (@ tptp.plug_r_l_v E) (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) (=> (= (@ S R2) tptp.none_P277133687_r_l_v) (= (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) S2) (= S2 (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v))))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R2 tptp.r)) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ (@ tptp.plug_r_l_v E) (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) (=> (= (@ S R2) tptp.none_P277133687_r_l_v) (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v)))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R2 tptp.r)) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ (@ tptp.plug_r_l_v E) (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) (=> (= (@ S R2) tptp.none_P277133687_r_l_v) (@ (@ (@ (@ tptp.revisi1291188644_r_l_v Subst) R) S) (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v)))))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (P (-> (-> tptp.r tptp.option1457017436_r_l_v) Bool))) (=> (@ (@ tptp.reachable_r_l_v tptp.subst) S) (=> (@ (@ tptp.induct1670415253_r_l_v tptp.subst) P) (@ P S)))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ tptp.reachable_r_l_v tptp.subst) S) (@ tptp.domain1547879849_r_l_v S))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ tptp.reachable_r_l_v Subst) S) (= (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) S2) (@ (@ (@ (@ tptp.revisi1291188644_r_l_v Subst) R) S) S2))))))
% 0.57/0.78 (assert (forall ((S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (E4 tptp.expr_r_l_v) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (Left_forkee tptp.r) (R2 tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc1834103605_r_l_v Tau2))) (let ((_let_3 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (= (@ S_1 R) (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.rfork_r_l_v E4)))))) (=> (= S_2 (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S_1) R) (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v Left_forkee)))))))) Left_forkee) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v (@ (@ tptp.combine_l_val_r_l_v Sigma2) Tau2)) (@ (@ tptp.produc1834103605_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) E4))))) (=> (not (@ (@ tptp.member_r Left_forkee) (@ tptp.rID_G_r_l_v S_1))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R2) S_1) S_22) (=> (not (= R R2)) (=> (@ (@ tptp.reachable_r_l_v tptp.subst) S_1) (=> (not (@ tptp.finite_finite_r tptp.top_top_set_r)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v tptp.subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32)))))))))))))))))
% 0.57/0.78 (assert (forall ((S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (Tau3 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R4 tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (Ls tptp.produc1156025366_r_l_v) (Sigma3 (-> tptp.l tptp.option_val_r_l_v)) (V tptp.val_r_l_v)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (let ((_let_3 (@ tptp.some_P1807977723_r_l_v Ls))) (let ((_let_4 (@ tptp.fun_up709272714_r_l_v S_1))) (let ((_let_5 (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ _let_4 R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ tptp.combine_l_val_r_l_v Tau2) Tau3)) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.cV_r_l_v tptp.unit)))))))) R4) tptp.none_P277133687_r_l_v))) (=> (= S_2 _let_5) (=> (= S_22 (@ (@ _let_4 R2) _let_3)) (=> (not (= R R2)) (=> (not (= R2 R4)) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R2) S_2) (@ (@ (@ tptp.fun_up709272714_r_l_v _let_5) R2) _let_3)) (=> (= (@ S_22 R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R4)))))))) (=> (= (@ S_22 R4) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma3) (@ (@ tptp.produc1834103605_r_l_v Tau3) (@ tptp.vE_r_l_v V))))) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v tptp.subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32)))))))))))))))))))
% 0.57/0.78 (assert (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v))))
% 0.57/0.78 (assert (forall ((X1 tptp.const) (Y1 tptp.const)) (= (= (@ tptp.cV_r_l_v X1) (@ tptp.cV_r_l_v Y1)) (= X1 Y1))))
% 0.57/0.78 (assert (forall ((R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (=> (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v S)) (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v S2))))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ tptp.reachable_r_l_v tptp.subst) S) (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v S)))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ tptp.reachable_r_l_v tptp.subst) S) (=> (not (@ tptp.finite_finite_r tptp.top_top_set_r)) (exists ((R5 tptp.r)) (not (@ (@ tptp.member_r R5) (@ tptp.rID_G_r_l_v S))))))))
% 0.57/0.78 (assert (= (@ tptp.finite1036466630um_r_l tptp.top_to1855148309um_r_l) (@ tptp.finite65649782um_r_l tptp.top_to182927813um_r_l)))
% 0.57/0.78 (assert (= (@ tptp.finite111936338um_l_r tptp.top_to1150555297um_l_r) (@ tptp.finite1591053314um_l_r tptp.top_to1405881169um_l_r)))
% 0.57/0.78 (assert (= (@ tptp.finite1864485196um_l_l tptp.top_to1066565019um_l_l) (@ tptp.finite1541484284um_l_l tptp.top_to1010946379um_l_l)))
% 0.57/0.78 (assert (= (@ tptp.finite555643486_set_r tptp.top_to555798885_set_r) (@ tptp.finite_finite_set_r tptp.top_top_set_set_r)))
% 0.57/0.78 (assert (= (@ tptp.finite160708696_set_l tptp.top_to471808607_set_l) (@ tptp.finite_finite_set_l tptp.top_top_set_set_l)))
% 0.57/0.78 (assert (= (@ tptp.finite16335230tion_r tptp.top_top_set_option_r) (@ tptp.finite_finite_r tptp.top_top_set_r)))
% 0.57/0.78 (assert (= (@ tptp.finite2114249848tion_l tptp.top_top_set_option_l) (@ tptp.finite_finite_l tptp.top_top_set_l)))
% 0.57/0.78 (assert (= tptp.domain1547879849_r_l_v (lambda ((S5 (-> tptp.r tptp.option1457017436_r_l_v))) (forall ((R6 tptp.r) (Ls2 tptp.produc1156025366_r_l_v)) (=> (= (@ S5 R6) (@ tptp.some_P1807977723_r_l_v Ls2)) (@ tptp.domain87684397_l_r_v Ls2))))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r)) (=> (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v S)) (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) tptp.none_P277133687_r_l_v))))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R2 tptp.r) (Sigma3 (-> tptp.l tptp.option_val_r_l_v)) (Tau3 (-> tptp.l tptp.option_val_r_l_v)) (V tptp.val_r_l_v)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) (=> (= (@ S R2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma3) (@ (@ tptp.produc1834103605_r_l_v Tau3) (@ tptp.vE_r_l_v V))))) (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ tptp.combine_l_val_r_l_v Tau2) Tau3)) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.cV_r_l_v tptp.unit)))))))) R2) tptp.none_P277133687_r_l_v))))))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R2 tptp.r) (Sigma3 (-> tptp.l tptp.option_val_r_l_v)) (Tau3 (-> tptp.l tptp.option_val_r_l_v)) (V tptp.val_r_l_v)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) (=> (= (@ S R2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma3) (@ (@ tptp.produc1834103605_r_l_v Tau3) (@ tptp.vE_r_l_v V))))) (@ (@ (@ (@ tptp.revisi1291188644_r_l_v tptp.subst) R) S) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ tptp.combine_l_val_r_l_v Tau2) Tau3)) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.cV_r_l_v tptp.unit)))))))) R2) tptp.none_P277133687_r_l_v))))))))
% 0.57/0.78 (assert (forall ((S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R4 tptp.r) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (Tau3 (-> tptp.l tptp.option_val_r_l_v)) (Sigma3 (-> tptp.l tptp.option_val_r_l_v)) (V tptp.val_r_l_v) (R2 tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (= (@ S_1 R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R4)))))))) (=> (= S_2 (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S_1) R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ tptp.combine_l_val_r_l_v Tau2) Tau3)) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.cV_r_l_v tptp.unit)))))))) R4) tptp.none_P277133687_r_l_v)) (=> (= (@ S_1 R4) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma3) (@ (@ tptp.produc1834103605_r_l_v Tau3) (@ tptp.vE_r_l_v V))))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R2) S_1) S_22) (=> (not (= R R2)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v tptp.subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32))))))))))))))
% 0.57/0.78 (assert (@ (@ (@ tptp.bij_betw_r_r tptp.alpha) tptp.top_top_set_r) tptp.top_top_set_r))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R2 tptp.r) (Sigma3 (-> tptp.l tptp.option_val_r_l_v)) (Tau3 (-> tptp.l tptp.option_val_r_l_v)) (V tptp.val_r_l_v) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) (=> (= (@ S R2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma3) (@ (@ tptp.produc1834103605_r_l_v Tau3) (@ tptp.vE_r_l_v V))))) (= (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (= S2 (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ tptp.combine_l_val_r_l_v Tau2) Tau3)) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.cV_r_l_v tptp.unit)))))))) R2) tptp.none_P277133687_r_l_v)))))))))
% 0.57/0.78 (assert (= tptp.execution_r_l_v tptp.execution_r_l_v))
% 0.57/0.78 (assert (= tptp.induct1670415253_r_l_v tptp.induct1670415253_r_l_v))
% 0.57/0.78 (assert (forall ((X1 tptp.const) (X4 tptp.r)) (not (= (@ tptp.cV_r_l_v X1) (@ tptp.rid_r_l_v X4)))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ tptp.reachable_r_l_v Subst) S) (=> (not (@ tptp.finite_finite_r tptp.top_top_set_r)) (exists ((R5 tptp.r)) (not (@ (@ tptp.member_r R5) (@ tptp.rID_G_r_l_v S)))))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (R tptp.r) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v Subst))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ (@ _let_1 R) S_1) S_2) (=> (@ (@ (@ _let_1 R2) S_1) S_22) (=> (@ (@ tptp.reachable_r_l_v Subst) S_1) (=> (not (@ tptp.finite_finite_l tptp.top_top_set_l)) (=> (not (@ tptp.finite_finite_r tptp.top_top_set_r)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v Subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32))))))))))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) S2) (=> (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v S)) (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v S2)))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ tptp.reachable_r_l_v Subst) S) (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v S))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ tptp.reachable_r_l_v Subst) S) (@ tptp.domain1547879849_r_l_v S)))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (P (-> (-> tptp.r tptp.option1457017436_r_l_v) Bool))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ tptp.reachable_r_l_v Subst) S) (=> (@ (@ tptp.induct1670415253_r_l_v Subst) P) (@ P S))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (= (@ (@ tptp.reachable_r_l_v Subst) S) (exists ((E6 tptp.expr_r_l_v) (S3 (-> tptp.r tptp.option1457017436_r_l_v))) (@ (@ (@ (@ tptp.execution_r_l_v Subst) E6) S3) S))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r)) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v S)) (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) tptp.none_P277133687_r_l_v)))))))
% 0.57/0.78 (assert (= tptp.reachable_r_l_v tptp.reachable_r_l_v))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R2 tptp.r) (Sigma3 (-> tptp.l tptp.option_val_r_l_v)) (Tau3 (-> tptp.l tptp.option_val_r_l_v)) (V tptp.val_r_l_v)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) (=> (= (@ S R2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma3) (@ (@ tptp.produc1834103605_r_l_v Tau3) (@ tptp.vE_r_l_v V))))) (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ tptp.combine_l_val_r_l_v Tau2) Tau3)) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.cV_r_l_v tptp.unit)))))))) R2) tptp.none_P277133687_r_l_v)))))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R2 tptp.r) (Sigma3 (-> tptp.l tptp.option_val_r_l_v)) (Tau3 (-> tptp.l tptp.option_val_r_l_v)) (V tptp.val_r_l_v) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) (=> (= (@ S R2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma3) (@ (@ tptp.produc1834103605_r_l_v Tau3) (@ tptp.vE_r_l_v V))))) (= (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) S2) (= S2 (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ tptp.combine_l_val_r_l_v Tau2) Tau3)) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.cV_r_l_v tptp.unit)))))))) R2) tptp.none_P277133687_r_l_v))))))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R2 tptp.r) (Sigma3 (-> tptp.l tptp.option_val_r_l_v)) (Tau3 (-> tptp.l tptp.option_val_r_l_v)) (V tptp.val_r_l_v)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) (=> (= (@ S R2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma3) (@ (@ tptp.produc1834103605_r_l_v Tau3) (@ tptp.vE_r_l_v V))))) (@ (@ (@ (@ tptp.revisi1291188644_r_l_v Subst) R) S) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ tptp.combine_l_val_r_l_v Tau2) Tau3)) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.cV_r_l_v tptp.unit)))))))) R2) tptp.none_P277133687_r_l_v)))))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (Tau3 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R4 tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (Ls tptp.produc1156025366_r_l_v) (Sigma3 (-> tptp.l tptp.option_val_r_l_v)) (V tptp.val_r_l_v)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (let ((_let_3 (@ tptp.some_P1807977723_r_l_v Ls))) (let ((_let_4 (@ tptp.fun_up709272714_r_l_v S_1))) (let ((_let_5 (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ _let_4 R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ tptp.combine_l_val_r_l_v Tau2) Tau3)) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.cV_r_l_v tptp.unit)))))))) R4) tptp.none_P277133687_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= S_2 _let_5) (=> (= S_22 (@ (@ _let_4 R2) _let_3)) (=> (not (= R R2)) (=> (not (= R2 R4)) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R2) S_2) (@ (@ (@ tptp.fun_up709272714_r_l_v _let_5) R2) _let_3)) (=> (= (@ S_22 R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R4)))))))) (=> (= (@ S_22 R4) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma3) (@ (@ tptp.produc1834103605_r_l_v Tau3) (@ tptp.vE_r_l_v V))))) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v Subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32))))))))))))))))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R4 tptp.r) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (Tau3 (-> tptp.l tptp.option_val_r_l_v)) (Sigma3 (-> tptp.l tptp.option_val_r_l_v)) (V tptp.val_r_l_v) (R2 tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S_1 R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R4)))))))) (=> (= S_2 (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S_1) R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ tptp.combine_l_val_r_l_v Tau2) Tau3)) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.cV_r_l_v tptp.unit)))))))) R4) tptp.none_P277133687_r_l_v)) (=> (= (@ S_1 R4) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma3) (@ (@ tptp.produc1834103605_r_l_v Tau3) (@ tptp.vE_r_l_v V))))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R2) S_1) S_22) (=> (not (= R R2)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v Subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32)))))))))))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (E4 tptp.expr_r_l_v) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (Left_forkee tptp.r) (R2 tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc1834103605_r_l_v Tau2))) (let ((_let_3 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S_1 R) (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.rfork_r_l_v E4)))))) (=> (= S_2 (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S_1) R) (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v Left_forkee)))))))) Left_forkee) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v (@ (@ tptp.combine_l_val_r_l_v Sigma2) Tau2)) (@ (@ tptp.produc1834103605_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) E4))))) (=> (not (@ (@ tptp.member_r Left_forkee) (@ tptp.rID_G_r_l_v S_1))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R2) S_1) S_22) (=> (not (= R R2)) (=> (@ (@ tptp.reachable_r_l_v Subst) S_1) (=> (not (@ tptp.finite_finite_r tptp.top_top_set_r)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v Subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32))))))))))))))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.reachable_r_l_v Subst))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ _let_1 S) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) S2) (@ _let_1 S2)))))))
% 0.57/0.78 (assert (@ (@ tptp.induct1670415253_r_l_v tptp.subst) (lambda ((S5 (-> tptp.r tptp.option1457017436_r_l_v))) (and (@ tptp.domain1547879849_r_l_v S5) (@ tptp.subsum680764357_r_l_v S5)))))
% 0.57/0.78 (assert (forall ((R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (=> (@ tptp.domain1547879849_r_l_v S) (=> (@ tptp.subsum680764357_r_l_v S) (@ tptp.subsum680764357_r_l_v S2))))))
% 0.57/0.78 (assert (forall ((R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (=> (@ tptp.domain1547879849_r_l_v S) (=> (@ tptp.subsum680764357_r_l_v S) (@ tptp.domain1547879849_r_l_v S2))))))
% 0.57/0.78 (assert (forall ((P (-> tptp.sum_sum_r_l Bool))) (=> (@ tptp.finite65649782um_r_l (@ tptp.collect_Sum_sum_r_l P)) (= (@ tptp.finite65649782um_r_l (@ tptp.collect_Sum_sum_r_l (lambda ((X2 tptp.sum_sum_r_l)) (not (@ P X2))))) (@ tptp.finite65649782um_r_l tptp.top_to182927813um_r_l)))))
% 0.57/0.78 (assert (forall ((P (-> tptp.sum_sum_l_r Bool))) (=> (@ tptp.finite1591053314um_l_r (@ tptp.collect_Sum_sum_l_r P)) (= (@ tptp.finite1591053314um_l_r (@ tptp.collect_Sum_sum_l_r (lambda ((X2 tptp.sum_sum_l_r)) (not (@ P X2))))) (@ tptp.finite1591053314um_l_r tptp.top_to1405881169um_l_r)))))
% 0.57/0.78 (assert (forall ((P (-> tptp.sum_sum_l_l Bool))) (=> (@ tptp.finite1541484284um_l_l (@ tptp.collect_Sum_sum_l_l P)) (= (@ tptp.finite1541484284um_l_l (@ tptp.collect_Sum_sum_l_l (lambda ((X2 tptp.sum_sum_l_l)) (not (@ P X2))))) (@ tptp.finite1541484284um_l_l tptp.top_to1010946379um_l_l)))))
% 0.57/0.78 (assert (forall ((P (-> tptp.set_r Bool))) (=> (@ tptp.finite_finite_set_r (@ tptp.collect_set_r P)) (= (@ tptp.finite_finite_set_r (@ tptp.collect_set_r (lambda ((X2 tptp.set_r)) (not (@ P X2))))) (@ tptp.finite_finite_set_r tptp.top_top_set_set_r)))))
% 0.57/0.78 (assert (forall ((P (-> tptp.set_l Bool))) (=> (@ tptp.finite_finite_set_l (@ tptp.collect_set_l P)) (= (@ tptp.finite_finite_set_l (@ tptp.collect_set_l (lambda ((X2 tptp.set_l)) (not (@ P X2))))) (@ tptp.finite_finite_set_l tptp.top_top_set_set_l)))))
% 0.57/0.78 (assert (forall ((P (-> tptp.r Bool))) (=> (@ tptp.finite_finite_r (@ tptp.collect_r P)) (= (@ tptp.finite_finite_r (@ tptp.collect_r (lambda ((X2 tptp.r)) (not (@ P X2))))) (@ tptp.finite_finite_r tptp.top_top_set_r)))))
% 0.57/0.78 (assert (forall ((P (-> tptp.l Bool))) (=> (@ tptp.finite_finite_l (@ tptp.collect_l P)) (= (@ tptp.finite_finite_l (@ tptp.collect_l (lambda ((X2 tptp.l)) (not (@ P X2))))) (@ tptp.finite_finite_l tptp.top_top_set_l)))))
% 0.57/0.78 (assert (forall ((Alpha2 (-> tptp.r tptp.r)) (Beta2 (-> tptp.l tptp.l)) (R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ (@ tptp.bij_betw_r_r Alpha2) tptp.top_top_set_r) tptp.top_top_set_r) (=> (@ (@ (@ tptp.bij_betw_l_l Beta2) tptp.top_top_set_l) tptp.top_top_set_l) (= (@ (@ tptp.member_r (@ Alpha2 R)) (@ tptp.rID_G_r_l_v (@ (@ (@ tptp.r_G_r_l_v Alpha2) Beta2) S))) (@ (@ tptp.member_r R) (@ tptp.rID_G_r_l_v S)))))))
% 0.57/0.78 (assert (forall ((P (-> tptp.sum_sum_r_l Bool)) (Q (-> tptp.sum_sum_r_l Bool))) (=> (or (@ tptp.finite65649782um_r_l (@ tptp.collect_Sum_sum_r_l P)) (@ tptp.finite65649782um_r_l (@ tptp.collect_Sum_sum_r_l Q))) (@ tptp.finite65649782um_r_l (@ tptp.collect_Sum_sum_r_l (lambda ((X2 tptp.sum_sum_r_l)) (and (@ P X2) (@ Q X2))))))))
% 0.57/0.78 (assert (forall ((P (-> tptp.sum_sum_l_r Bool)) (Q (-> tptp.sum_sum_l_r Bool))) (=> (or (@ tptp.finite1591053314um_l_r (@ tptp.collect_Sum_sum_l_r P)) (@ tptp.finite1591053314um_l_r (@ tptp.collect_Sum_sum_l_r Q))) (@ tptp.finite1591053314um_l_r (@ tptp.collect_Sum_sum_l_r (lambda ((X2 tptp.sum_sum_l_r)) (and (@ P X2) (@ Q X2))))))))
% 0.57/0.78 (assert (forall ((P (-> tptp.sum_sum_l_l Bool)) (Q (-> tptp.sum_sum_l_l Bool))) (=> (or (@ tptp.finite1541484284um_l_l (@ tptp.collect_Sum_sum_l_l P)) (@ tptp.finite1541484284um_l_l (@ tptp.collect_Sum_sum_l_l Q))) (@ tptp.finite1541484284um_l_l (@ tptp.collect_Sum_sum_l_l (lambda ((X2 tptp.sum_sum_l_l)) (and (@ P X2) (@ Q X2))))))))
% 0.57/0.78 (assert (forall ((P (-> tptp.set_r Bool)) (Q (-> tptp.set_r Bool))) (=> (or (@ tptp.finite_finite_set_r (@ tptp.collect_set_r P)) (@ tptp.finite_finite_set_r (@ tptp.collect_set_r Q))) (@ tptp.finite_finite_set_r (@ tptp.collect_set_r (lambda ((X2 tptp.set_r)) (and (@ P X2) (@ Q X2))))))))
% 0.57/0.78 (assert (forall ((P (-> tptp.set_l Bool)) (Q (-> tptp.set_l Bool))) (=> (or (@ tptp.finite_finite_set_l (@ tptp.collect_set_l P)) (@ tptp.finite_finite_set_l (@ tptp.collect_set_l Q))) (@ tptp.finite_finite_set_l (@ tptp.collect_set_l (lambda ((X2 tptp.set_l)) (and (@ P X2) (@ Q X2))))))))
% 0.57/0.78 (assert (forall ((P (-> tptp.r Bool)) (Q (-> tptp.r Bool))) (=> (or (@ tptp.finite_finite_r (@ tptp.collect_r P)) (@ tptp.finite_finite_r (@ tptp.collect_r Q))) (@ tptp.finite_finite_r (@ tptp.collect_r (lambda ((X2 tptp.r)) (and (@ P X2) (@ Q X2))))))))
% 0.57/0.78 (assert (forall ((P (-> tptp.l Bool)) (Q (-> tptp.l Bool))) (=> (or (@ tptp.finite_finite_l (@ tptp.collect_l P)) (@ tptp.finite_finite_l (@ tptp.collect_l Q))) (@ tptp.finite_finite_l (@ tptp.collect_l (lambda ((X2 tptp.l)) (and (@ P X2) (@ Q X2))))))))
% 0.57/0.78 (assert (forall ((P (-> tptp.set_r Bool)) (Q (-> tptp.set_r Bool))) (= (@ tptp.finite_finite_set_r (@ tptp.collect_set_r (lambda ((X2 tptp.set_r)) (or (@ P X2) (@ Q X2))))) (and (@ tptp.finite_finite_set_r (@ tptp.collect_set_r P)) (@ tptp.finite_finite_set_r (@ tptp.collect_set_r Q))))))
% 0.57/0.78 (assert (forall ((P (-> tptp.set_l Bool)) (Q (-> tptp.set_l Bool))) (= (@ tptp.finite_finite_set_l (@ tptp.collect_set_l (lambda ((X2 tptp.set_l)) (or (@ P X2) (@ Q X2))))) (and (@ tptp.finite_finite_set_l (@ tptp.collect_set_l P)) (@ tptp.finite_finite_set_l (@ tptp.collect_set_l Q))))))
% 0.57/0.78 (assert (forall ((P (-> tptp.r Bool)) (Q (-> tptp.r Bool))) (= (@ tptp.finite_finite_r (@ tptp.collect_r (lambda ((X2 tptp.r)) (or (@ P X2) (@ Q X2))))) (and (@ tptp.finite_finite_r (@ tptp.collect_r P)) (@ tptp.finite_finite_r (@ tptp.collect_r Q))))))
% 0.57/0.78 (assert (forall ((P (-> tptp.l Bool)) (Q (-> tptp.l Bool))) (= (@ tptp.finite_finite_l (@ tptp.collect_l (lambda ((X2 tptp.l)) (or (@ P X2) (@ Q X2))))) (and (@ tptp.finite_finite_l (@ tptp.collect_l P)) (@ tptp.finite_finite_l (@ tptp.collect_l Q))))))
% 0.57/0.78 (assert (forall ((R tptp.r) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v tptp.subst))) (=> (@ (@ (@ _let_1 R) S_1) S_2) (=> (@ (@ (@ _let_1 R2) S_1) S_22) (=> (@ (@ tptp.reachable_r_l_v tptp.subst) S_1) (=> (not (@ tptp.finite_finite_l tptp.top_top_set_l)) (=> (not (@ tptp.finite_finite_r tptp.top_top_set_r)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v tptp.subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32)))))))))))))
% 0.57/0.78 (assert (let ((_let_1 (@ tptp.finite_finite_r tptp.top_top_set_r))) (= (@ tptp.finite115218812um_r_r tptp.top_to577862603um_r_r) (and _let_1 _let_1))))
% 0.57/0.78 (assert (= (@ tptp.finite65649782um_r_l tptp.top_to182927813um_r_l) (and (@ tptp.finite_finite_r tptp.top_top_set_r) (@ tptp.finite_finite_l tptp.top_top_set_l))))
% 0.57/0.78 (assert (= (@ tptp.finite1591053314um_l_r tptp.top_to1405881169um_l_r) (and (@ tptp.finite_finite_l tptp.top_top_set_l) (@ tptp.finite_finite_r tptp.top_top_set_r))))
% 0.57/0.78 (assert (let ((_let_1 (@ tptp.finite_finite_l tptp.top_top_set_l))) (= (@ tptp.finite1541484284um_l_l tptp.top_to1010946379um_l_l) (and _let_1 _let_1))))
% 0.57/0.78 (assert (forall ((Alpha2 (-> tptp.r tptp.r)) (Beta2 (-> tptp.l tptp.l)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (= (@ (@ (@ tptp.r_G_r_l_v Alpha2) Beta2) S) S2) (=> (@ (@ (@ tptp.bij_betw_r_r Alpha2) tptp.top_top_set_r) tptp.top_top_set_r) (=> (@ (@ (@ tptp.bij_betw_l_l Beta2) tptp.top_top_set_l) tptp.top_top_set_l) (@ (@ tptp.eq_states_r_l_v S) S2))))))
% 0.57/0.78 (assert (forall ((Alpha2 (-> tptp.r tptp.r)) (Beta2 (-> tptp.l tptp.l)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r)) (let ((_let_1 (@ (@ tptp.r_G_r_l_v Alpha2) Beta2))) (=> (@ (@ (@ tptp.bij_betw_r_r Alpha2) tptp.top_top_set_r) tptp.top_top_set_r) (= (@ _let_1 (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) tptp.none_P277133687_r_l_v)) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ _let_1 S)) (@ Alpha2 R)) tptp.none_P277133687_r_l_v))))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (forall ((R5 tptp.r) (Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E3 tptp.expr_r_l_v)) (let ((_let_1 (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) E3)))) (=> (= (@ S R5) (@ tptp.some_P1807977723_r_l_v _let_1)) (@ tptp.domain87684397_l_r_v _let_1)))) (@ tptp.domain1547879849_r_l_v S))))
% 0.57/0.78 (assert (@ (@ (@ tptp.bij_betw_l_l tptp.beta) tptp.top_top_set_l) tptp.top_top_set_l))
% 0.57/0.78 (assert (forall ((F (-> tptp.r tptp.r)) (A5 tptp.set_r) (B5 tptp.set_r)) (=> (@ (@ (@ tptp.bij_betw_r_r F) A5) B5) (= (@ tptp.finite_finite_r A5) (@ tptp.finite_finite_r B5)))))
% 0.57/0.78 (assert (forall ((F (-> tptp.r tptp.l)) (A5 tptp.set_r) (B5 tptp.set_l)) (=> (@ (@ (@ tptp.bij_betw_r_l F) A5) B5) (= (@ tptp.finite_finite_r A5) (@ tptp.finite_finite_l B5)))))
% 0.57/0.78 (assert (forall ((F (-> tptp.l tptp.r)) (A5 tptp.set_l) (B5 tptp.set_r)) (=> (@ (@ (@ tptp.bij_betw_l_r F) A5) B5) (= (@ tptp.finite_finite_l A5) (@ tptp.finite_finite_r B5)))))
% 0.57/0.78 (assert (forall ((F (-> tptp.l tptp.l)) (A5 tptp.set_l) (B5 tptp.set_l)) (=> (@ (@ (@ tptp.bij_betw_l_l F) A5) B5) (= (@ tptp.finite_finite_l A5) (@ tptp.finite_finite_l B5)))))
% 0.57/0.78 (assert (forall ((F (-> tptp.r tptp.r)) (Y tptp.r)) (=> (@ (@ (@ tptp.bij_betw_r_r F) tptp.top_top_set_r) tptp.top_top_set_r) (not (forall ((X3 tptp.r)) (=> (= Y (@ F X3)) (not (forall ((X9 tptp.r)) (=> (= Y (@ F X9)) (= X9 X3))))))))))
% 0.57/0.78 (assert (forall ((F (-> tptp.r tptp.l)) (Y tptp.l)) (=> (@ (@ (@ tptp.bij_betw_r_l F) tptp.top_top_set_r) tptp.top_top_set_l) (not (forall ((X3 tptp.r)) (=> (= Y (@ F X3)) (not (forall ((X9 tptp.r)) (=> (= Y (@ F X9)) (= X9 X3))))))))))
% 0.57/0.78 (assert (forall ((F (-> tptp.l tptp.r)) (Y tptp.r)) (=> (@ (@ (@ tptp.bij_betw_l_r F) tptp.top_top_set_l) tptp.top_top_set_r) (not (forall ((X3 tptp.l)) (=> (= Y (@ F X3)) (not (forall ((X9 tptp.l)) (=> (= Y (@ F X9)) (= X9 X3))))))))))
% 0.57/0.78 (assert (forall ((F (-> tptp.l tptp.l)) (Y tptp.l)) (=> (@ (@ (@ tptp.bij_betw_l_l F) tptp.top_top_set_l) tptp.top_top_set_l) (not (forall ((X3 tptp.l)) (=> (= Y (@ F X3)) (not (forall ((X9 tptp.l)) (=> (= Y (@ F X9)) (= X9 X3))))))))))
% 0.57/0.78 (assert (forall ((F (-> tptp.r tptp.r)) (A5 tptp.set_r) (B5 tptp.set_r)) (=> (@ (@ (@ tptp.bij_betw_r_r F) A5) B5) (forall ((X10 tptp.r)) (=> (@ (@ tptp.member_r X10) A5) (@ (@ tptp.member_r (@ F X10)) B5))))))
% 0.57/0.78 (assert (forall ((F (-> tptp.l tptp.l)) (A5 tptp.set_l) (B5 tptp.set_l)) (=> (@ (@ (@ tptp.bij_betw_l_l F) A5) B5) (forall ((X10 tptp.l)) (=> (@ (@ tptp.member_l X10) A5) (@ (@ tptp.member_l (@ F X10)) B5))))))
% 0.57/0.78 (assert (forall ((F (-> tptp.r tptp.r)) (A5 tptp.set_r) (B5 tptp.set_r)) (=> (@ (@ (@ tptp.bij_betw_r_r F) A5) B5) (exists ((G3 (-> tptp.r tptp.r))) (@ (@ (@ tptp.bij_betw_r_r G3) B5) A5)))))
% 0.57/0.78 (assert (forall ((F (-> tptp.l tptp.l)) (A5 tptp.set_l) (B5 tptp.set_l)) (=> (@ (@ (@ tptp.bij_betw_l_l F) A5) B5) (exists ((G3 (-> tptp.l tptp.l))) (@ (@ (@ tptp.bij_betw_l_l G3) B5) A5)))))
% 0.57/0.78 (assert (forall ((A5 tptp.set_r) (F (-> tptp.r tptp.r)) (G (-> tptp.r tptp.r)) (A6 tptp.set_r)) (=> (forall ((A3 tptp.r)) (=> (@ (@ tptp.member_r A3) A5) (= (@ F A3) (@ G A3)))) (= (@ (@ (@ tptp.bij_betw_r_r F) A5) A6) (@ (@ (@ tptp.bij_betw_r_r G) A5) A6)))))
% 0.57/0.78 (assert (forall ((A5 tptp.set_l) (F (-> tptp.l tptp.l)) (G (-> tptp.l tptp.l)) (A6 tptp.set_l)) (=> (forall ((A3 tptp.l)) (=> (@ (@ tptp.member_l A3) A5) (= (@ F A3) (@ G A3)))) (= (@ (@ (@ tptp.bij_betw_l_l F) A5) A6) (@ (@ (@ tptp.bij_betw_l_l G) A5) A6)))))
% 0.57/0.78 (assert (forall ((F (-> tptp.r tptp.l)) (A5 tptp.set_r) (B5 tptp.set_l) (A tptp.r)) (=> (@ (@ (@ tptp.bij_betw_r_l F) A5) B5) (=> (@ (@ tptp.member_r A) A5) (@ (@ tptp.member_l (@ F A)) B5)))))
% 0.57/0.78 (assert (forall ((F (-> tptp.l tptp.r)) (A5 tptp.set_l) (B5 tptp.set_r) (A tptp.l)) (=> (@ (@ (@ tptp.bij_betw_l_r F) A5) B5) (=> (@ (@ tptp.member_l A) A5) (@ (@ tptp.member_r (@ F A)) B5)))))
% 0.57/0.78 (assert (forall ((F (-> tptp.r tptp.r)) (A5 tptp.set_r) (B5 tptp.set_r) (A tptp.r)) (=> (@ (@ (@ tptp.bij_betw_r_r F) A5) B5) (=> (@ (@ tptp.member_r A) A5) (@ (@ tptp.member_r (@ F A)) B5)))))
% 0.57/0.78 (assert (forall ((F (-> tptp.l tptp.l)) (A5 tptp.set_l) (B5 tptp.set_l) (A tptp.l)) (=> (@ (@ (@ tptp.bij_betw_l_l F) A5) B5) (=> (@ (@ tptp.member_l A) A5) (@ (@ tptp.member_l (@ F A)) B5)))))
% 0.57/0.78 (assert (= tptp.bij_betw_l_r (lambda ((F2 (-> tptp.l tptp.r)) (A7 tptp.set_l) (B6 tptp.set_r)) (exists ((G2 (-> tptp.r tptp.l))) (and (forall ((X2 tptp.l)) (let ((_let_1 (@ F2 X2))) (=> (@ (@ tptp.member_l X2) A7) (and (@ (@ tptp.member_r _let_1) B6) (= (@ G2 _let_1) X2))))) (forall ((X2 tptp.r)) (let ((_let_1 (@ G2 X2))) (=> (@ (@ tptp.member_r X2) B6) (and (@ (@ tptp.member_l _let_1) A7) (= (@ F2 _let_1) X2))))))))))
% 0.57/0.78 (assert (= tptp.bij_betw_r_l (lambda ((F2 (-> tptp.r tptp.l)) (A7 tptp.set_r) (B6 tptp.set_l)) (exists ((G2 (-> tptp.l tptp.r))) (and (forall ((X2 tptp.r)) (let ((_let_1 (@ F2 X2))) (=> (@ (@ tptp.member_r X2) A7) (and (@ (@ tptp.member_l _let_1) B6) (= (@ G2 _let_1) X2))))) (forall ((X2 tptp.l)) (let ((_let_1 (@ G2 X2))) (=> (@ (@ tptp.member_l X2) B6) (and (@ (@ tptp.member_r _let_1) A7) (= (@ F2 _let_1) X2))))))))))
% 0.57/0.78 (assert (= tptp.bij_betw_r_r (lambda ((F2 (-> tptp.r tptp.r)) (A7 tptp.set_r) (B6 tptp.set_r)) (exists ((G2 (-> tptp.r tptp.r))) (and (forall ((X2 tptp.r)) (let ((_let_1 (@ F2 X2))) (=> (@ (@ tptp.member_r X2) A7) (and (@ (@ tptp.member_r _let_1) B6) (= (@ G2 _let_1) X2))))) (forall ((X2 tptp.r)) (let ((_let_1 (@ G2 X2))) (=> (@ (@ tptp.member_r X2) B6) (and (@ (@ tptp.member_r _let_1) A7) (= (@ F2 _let_1) X2))))))))))
% 0.57/0.78 (assert (= tptp.bij_betw_l_l (lambda ((F2 (-> tptp.l tptp.l)) (A7 tptp.set_l) (B6 tptp.set_l)) (exists ((G2 (-> tptp.l tptp.l))) (and (forall ((X2 tptp.l)) (let ((_let_1 (@ F2 X2))) (=> (@ (@ tptp.member_l X2) A7) (and (@ (@ tptp.member_l _let_1) B6) (= (@ G2 _let_1) X2))))) (forall ((X2 tptp.l)) (let ((_let_1 (@ G2 X2))) (=> (@ (@ tptp.member_l X2) B6) (and (@ (@ tptp.member_l _let_1) A7) (= (@ F2 _let_1) X2))))))))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ tptp.eq_states_r_l_v S) S2) (not (forall ((Alpha (-> tptp.r tptp.r)) (Beta (-> tptp.l tptp.l))) (=> (= (@ (@ (@ tptp.r_G_r_l_v Alpha) Beta) S) S2) (=> (@ (@ (@ tptp.bij_betw_r_r Alpha) tptp.top_top_set_r) tptp.top_top_set_r) (not (@ (@ (@ tptp.bij_betw_l_l Beta) tptp.top_top_set_l) tptp.top_top_set_l)))))))))
% 0.57/0.78 (assert (= tptp.eq_states_r_l_v (lambda ((S5 (-> tptp.r tptp.option1457017436_r_l_v)) (S3 (-> tptp.r tptp.option1457017436_r_l_v))) (exists ((Alpha3 (-> tptp.r tptp.r)) (Beta3 (-> tptp.l tptp.l))) (and (@ (@ (@ tptp.bij_betw_r_r Alpha3) tptp.top_top_set_r) tptp.top_top_set_r) (@ (@ (@ tptp.bij_betw_l_l Beta3) tptp.top_top_set_l) tptp.top_top_set_l) (= (@ (@ (@ tptp.r_G_r_l_v Alpha3) Beta3) S5) S3))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (Alpha2 (-> tptp.r tptp.r)) (Beta2 (-> tptp.l tptp.l)) (R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ (@ tptp.bij_betw_r_r Alpha2) tptp.top_top_set_r) tptp.top_top_set_r) (=> (@ (@ (@ tptp.bij_betw_l_l Beta2) tptp.top_top_set_l) tptp.top_top_set_l) (= (@ (@ tptp.member_r (@ Alpha2 R)) (@ tptp.rID_G_r_l_v (@ (@ (@ tptp.r_G_r_l_v Alpha2) Beta2) S))) (@ (@ tptp.member_r R) (@ tptp.rID_G_r_l_v S))))))))
% 0.57/0.78 (assert (forall ((P (-> tptp.r Bool))) (=> (not (@ tptp.finite_finite_r (@ tptp.collect_r P))) (exists ((X_1 tptp.r)) (@ P X_1)))))
% 0.57/0.78 (assert (forall ((P (-> tptp.l Bool))) (=> (not (@ tptp.finite_finite_l (@ tptp.collect_l P))) (exists ((X_1 tptp.l)) (@ P X_1)))))
% 0.57/0.78 (assert (forall ((A5 tptp.set_r) (B5 tptp.set_r) (R7 (-> tptp.r tptp.r Bool))) (=> (not (@ tptp.finite_finite_r A5)) (=> (@ tptp.finite_finite_r B5) (=> (forall ((X3 tptp.r)) (=> (@ (@ tptp.member_r X3) A5) (exists ((Xa2 tptp.r)) (and (@ (@ tptp.member_r Xa2) B5) (@ (@ R7 X3) Xa2))))) (exists ((X3 tptp.r)) (and (@ (@ tptp.member_r X3) B5) (not (@ tptp.finite_finite_r (@ tptp.collect_r (lambda ((A4 tptp.r)) (and (@ (@ tptp.member_r A4) A5) (@ (@ R7 A4) X3)))))))))))))
% 0.57/0.78 (assert (forall ((A5 tptp.set_r) (B5 tptp.set_l) (R7 (-> tptp.r tptp.l Bool))) (=> (not (@ tptp.finite_finite_r A5)) (=> (@ tptp.finite_finite_l B5) (=> (forall ((X3 tptp.r)) (=> (@ (@ tptp.member_r X3) A5) (exists ((Xa2 tptp.l)) (and (@ (@ tptp.member_l Xa2) B5) (@ (@ R7 X3) Xa2))))) (exists ((X3 tptp.l)) (and (@ (@ tptp.member_l X3) B5) (not (@ tptp.finite_finite_r (@ tptp.collect_r (lambda ((A4 tptp.r)) (and (@ (@ tptp.member_r A4) A5) (@ (@ R7 A4) X3)))))))))))))
% 0.57/0.78 (assert (forall ((A5 tptp.set_l) (B5 tptp.set_r) (R7 (-> tptp.l tptp.r Bool))) (=> (not (@ tptp.finite_finite_l A5)) (=> (@ tptp.finite_finite_r B5) (=> (forall ((X3 tptp.l)) (=> (@ (@ tptp.member_l X3) A5) (exists ((Xa2 tptp.r)) (and (@ (@ tptp.member_r Xa2) B5) (@ (@ R7 X3) Xa2))))) (exists ((X3 tptp.r)) (and (@ (@ tptp.member_r X3) B5) (not (@ tptp.finite_finite_l (@ tptp.collect_l (lambda ((A4 tptp.l)) (and (@ (@ tptp.member_l A4) A5) (@ (@ R7 A4) X3)))))))))))))
% 0.57/0.78 (assert (forall ((A5 tptp.set_l) (B5 tptp.set_l) (R7 (-> tptp.l tptp.l Bool))) (=> (not (@ tptp.finite_finite_l A5)) (=> (@ tptp.finite_finite_l B5) (=> (forall ((X3 tptp.l)) (=> (@ (@ tptp.member_l X3) A5) (exists ((Xa2 tptp.l)) (and (@ (@ tptp.member_l Xa2) B5) (@ (@ R7 X3) Xa2))))) (exists ((X3 tptp.l)) (and (@ (@ tptp.member_l X3) B5) (not (@ tptp.finite_finite_l (@ tptp.collect_l (lambda ((A4 tptp.l)) (and (@ (@ tptp.member_l A4) A5) (@ (@ R7 A4) X3)))))))))))))
% 0.57/0.78 (assert (let ((_let_1 (@ tptp.finite_finite_r tptp.top_top_set_r))) (=> _let_1 (=> _let_1 (@ tptp.finite1507191824od_r_r tptp.top_to2034696215od_r_r)))))
% 0.57/0.78 (assert (=> (@ tptp.finite_finite_r tptp.top_top_set_r) (=> (@ tptp.finite_finite_l tptp.top_top_set_l) (@ tptp.finite1457622794od_r_l tptp.top_to1639761425od_r_l))))
% 0.57/0.78 (assert (=> (@ tptp.finite_finite_l tptp.top_top_set_l) (=> (@ tptp.finite_finite_r tptp.top_top_set_r) (@ tptp.finite835542678od_l_r tptp.top_to715231133od_l_r))))
% 0.57/0.78 (assert (let ((_let_1 (@ tptp.finite_finite_l tptp.top_top_set_l))) (=> _let_1 (=> _let_1 (@ tptp.finite785973648od_l_l tptp.top_to320296343od_l_l)))))
% 0.57/0.78 (assert (forall ((A5 tptp.set_r)) (=> (not (@ tptp.finite_finite_r tptp.top_top_set_r)) (=> (@ tptp.finite_finite_r A5) (exists ((A3 tptp.r)) (not (@ (@ tptp.member_r A3) A5)))))))
% 0.57/0.78 (assert (forall ((A5 tptp.set_l)) (=> (not (@ tptp.finite_finite_l tptp.top_top_set_l)) (=> (@ tptp.finite_finite_l A5) (exists ((A3 tptp.l)) (not (@ (@ tptp.member_l A3) A5)))))))
% 0.57/0.78 (assert (let ((_let_1 (@ tptp.finite_finite_r tptp.top_top_set_r))) (= (@ tptp.finite1507191824od_r_r tptp.top_to2034696215od_r_r) (and _let_1 _let_1))))
% 0.57/0.78 (assert (= (@ tptp.finite1457622794od_r_l tptp.top_to1639761425od_r_l) (and (@ tptp.finite_finite_r tptp.top_top_set_r) (@ tptp.finite_finite_l tptp.top_top_set_l))))
% 0.57/0.78 (assert (= (@ tptp.finite835542678od_l_r tptp.top_to715231133od_l_r) (and (@ tptp.finite_finite_l tptp.top_top_set_l) (@ tptp.finite_finite_r tptp.top_top_set_r))))
% 0.57/0.78 (assert (let ((_let_1 (@ tptp.finite_finite_l tptp.top_top_set_l))) (= (@ tptp.finite785973648od_l_l tptp.top_to320296343od_l_l) (and _let_1 _let_1))))
% 0.57/0.78 (assert (= (@ tptp.finite_finite_set_r tptp.top_top_set_set_r) (@ tptp.finite_finite_r tptp.top_top_set_r)))
% 0.57/0.78 (assert (= (@ tptp.finite_finite_set_l tptp.top_top_set_set_l) (@ tptp.finite_finite_l tptp.top_top_set_l)))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) S2) (=> (@ tptp.domain1547879849_r_l_v S) (=> (@ tptp.subsum680764357_r_l_v S) (@ tptp.domain1547879849_r_l_v S2)))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) S2) (=> (@ tptp.domain1547879849_r_l_v S) (=> (@ tptp.subsum680764357_r_l_v S) (@ tptp.subsum680764357_r_l_v S2)))))))
% 0.57/0.78 (assert (forall ((F (-> tptp.r tptp.option1457017436_r_l_v)) (C tptp.option1457017436_r_l_v) (P (-> (-> tptp.r tptp.option1457017436_r_l_v) Bool))) (=> (@ tptp.finite_finite_r (@ tptp.collect_r (lambda ((A4 tptp.r)) (not (= (@ F A4) C))))) (=> (@ P (lambda ((A4 tptp.r)) C)) (=> (forall ((A3 tptp.r) (B3 tptp.option1457017436_r_l_v) (F3 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.finite_finite_r (@ tptp.collect_r (lambda ((C3 tptp.r)) (not (= (@ F3 C3) C))))) (=> (= (@ F3 A3) C) (=> (not (= B3 C)) (=> (@ P F3) (@ P (@ (@ (@ tptp.fun_up709272714_r_l_v F3) A3) B3))))))) (@ P F))))))
% 0.57/0.78 (assert (forall ((F (-> tptp.l tptp.option_val_r_l_v)) (C tptp.option_val_r_l_v) (P (-> (-> tptp.l tptp.option_val_r_l_v) Bool))) (=> (@ tptp.finite_finite_l (@ tptp.collect_l (lambda ((A4 tptp.l)) (not (= (@ F A4) C))))) (=> (@ P (lambda ((A4 tptp.l)) C)) (=> (forall ((A3 tptp.l) (B3 tptp.option_val_r_l_v) (F3 (-> tptp.l tptp.option_val_r_l_v))) (=> (@ tptp.finite_finite_l (@ tptp.collect_l (lambda ((C3 tptp.l)) (not (= (@ F3 C3) C))))) (=> (= (@ F3 A3) C) (=> (not (= B3 C)) (=> (@ P F3) (@ P (@ (@ (@ tptp.fun_up1835647912_r_l_v F3) A3) B3))))))) (@ P F))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (@ (@ tptp.induct1670415253_r_l_v Subst) (lambda ((S5 (-> tptp.r tptp.option1457017436_r_l_v))) (and (@ tptp.domain1547879849_r_l_v S5) (@ tptp.subsum680764357_r_l_v S5)))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (= (@ tptp.domain1547879849_r_l_v S) (forall ((R6 tptp.r) (Ls2 tptp.produc1156025366_r_l_v)) (=> (= (@ S R6) (@ tptp.some_P1807977723_r_l_v Ls2)) (@ tptp.domain87684397_l_r_v Ls2)))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (forall ((R5 tptp.r) (Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E3 tptp.expr_r_l_v)) (let ((_let_1 (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) E3)))) (=> (= (@ S R5) (@ tptp.some_P1807977723_r_l_v _let_1)) (@ tptp.domain87684397_l_r_v _let_1)))) (@ tptp.domain1547879849_r_l_v S)))))
% 0.57/0.78 (assert (forall ((Alpha2 (-> tptp.r tptp.r)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v)) (Beta2 (-> tptp.l tptp.l))) (=> (@ (@ (@ tptp.bij_betw_r_r Alpha2) tptp.top_top_set_r) tptp.top_top_set_r) (=> (forall ((R5 tptp.r)) (=> (= (@ S R5) tptp.none_P277133687_r_l_v) (= (@ S2 (@ Alpha2 R5)) tptp.none_P277133687_r_l_v))) (=> (forall ((R5 tptp.r) (Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E3 tptp.expr_r_l_v)) (let ((_let_1 (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) E3)))) (=> (= (@ S R5) (@ tptp.some_P1807977723_r_l_v _let_1)) (= (@ S2 (@ Alpha2 R5)) (@ tptp.some_P1807977723_r_l_v (@ (@ (@ tptp.r_L_r_l_v Alpha2) Beta2) _let_1)))))) (= (@ (@ (@ tptp.r_G_r_l_v Alpha2) Beta2) S) S2))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (forall ((R_1 tptp.r) (Sigma_1 (-> tptp.l tptp.option_val_r_l_v)) (Tau_1 (-> tptp.l tptp.option_val_r_l_v)) (E_1 tptp.expr_r_l_v) (R_2 tptp.r) (Sigma_2 (-> tptp.l tptp.option_val_r_l_v)) (Tau_2 (-> tptp.l tptp.option_val_r_l_v)) (E_2 tptp.expr_r_l_v)) (=> (= (@ S R_1) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma_1) (@ (@ tptp.produc1834103605_r_l_v Tau_1) E_1)))) (=> (= (@ S R_2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma_2) (@ (@ tptp.produc1834103605_r_l_v Tau_2) E_2)))) (@ (@ (@ tptp.subsum148050133_r_l_v R_1) R_2) S)))) (@ tptp.subsum680764357_r_l_v S)))))
% 0.57/0.78 (assert (forall ((Alpha2 (-> tptp.r tptp.r)) (Beta2 (-> tptp.l tptp.l)) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ (@ tptp.bij_betw_r_r Alpha2) tptp.top_top_set_r) tptp.top_top_set_r) (@ (@ (@ (@ tptp.is_glo1871033385_r_l_v Alpha2) Beta2) S) (@ (@ (@ tptp.r_G_r_l_v Alpha2) Beta2) S)))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (forall ((R_1 tptp.r) (Sigma_1 (-> tptp.l tptp.option_val_r_l_v)) (Tau_1 (-> tptp.l tptp.option_val_r_l_v)) (E_1 tptp.expr_r_l_v) (R_2 tptp.r) (Sigma_2 (-> tptp.l tptp.option_val_r_l_v)) (Tau_2 (-> tptp.l tptp.option_val_r_l_v)) (E_2 tptp.expr_r_l_v)) (=> (= (@ S R_1) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma_1) (@ (@ tptp.produc1834103605_r_l_v Tau_1) E_1)))) (=> (= (@ S R_2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma_2) (@ (@ tptp.produc1834103605_r_l_v Tau_2) E_2)))) (@ (@ (@ tptp.subsum148050133_r_l_v R_1) R_2) S)))) (@ tptp.subsum680764357_r_l_v S))))
% 0.57/0.78 (assert (forall ((Alpha2 (-> tptp.r tptp.r)) (Beta2 (-> tptp.l tptp.l)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Ls tptp.produc1156025366_r_l_v)) (let ((_let_1 (@ (@ tptp.r_G_r_l_v Alpha2) Beta2))) (=> (@ (@ (@ tptp.bij_betw_r_r Alpha2) tptp.top_top_set_r) tptp.top_top_set_r) (= (@ _let_1 (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v Ls))) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ _let_1 S)) (@ Alpha2 R)) (@ tptp.some_P1807977723_r_l_v (@ (@ (@ tptp.r_L_r_l_v Alpha2) Beta2) Ls))))))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (Ls tptp.produc1156025366_r_l_v) (R tptp.r)) (let ((_let_1 (@ tptp.member_r R))) (=> (= (@ S R2) (@ tptp.some_P1807977723_r_l_v Ls)) (=> (@ _let_1 (@ tptp.rID_L_l_r_v Ls)) (@ _let_1 (@ tptp.rID_G_r_l_v S)))))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (Ls tptp.produc1156025366_r_l_v) (R tptp.r)) (=> (= (@ S R2) (@ tptp.some_P1807977723_r_l_v Ls)) (=> (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) tptp.none_P277133687_r_l_v))) (=> (not (= R R2)) (@ tptp.finite_finite_r (@ tptp.rID_L_l_r_v Ls)))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (Ls tptp.produc1156025366_r_l_v) (R tptp.r)) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S R2) (@ tptp.some_P1807977723_r_l_v Ls)) (=> (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) tptp.none_P277133687_r_l_v))) (=> (not (= R R2)) (@ tptp.finite_finite_r (@ tptp.rID_L_l_r_v Ls))))))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ tptp.reachable_r_l_v tptp.subst) S) (=> (not (@ tptp.finite_finite_l tptp.top_top_set_l)) (exists ((L tptp.l)) (not (@ (@ tptp.member_l L) (@ tptp.lID_G_r_l_v S))))))))
% 0.57/0.78 (assert (forall ((R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (=> (forall ((Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E5 tptp.cntxt_r_l_v) (E3 tptp.expr_r_l_v)) (not (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) (@ (@ tptp.plug_r_l_v E5) (@ tptp.rfork_r_l_v E3)))))))) (@ (@ tptp.ord_less_eq_set_r (@ tptp.rID_G_r_l_v S2)) (@ tptp.rID_G_r_l_v S))))))
% 0.57/0.78 (assert (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v))))
% 0.57/0.78 (assert (forall ((Alpha2 (-> tptp.r tptp.r)) (Beta2 (-> tptp.l tptp.l)) (L2 tptp.l) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ (@ tptp.bij_betw_r_r Alpha2) tptp.top_top_set_r) tptp.top_top_set_r) (=> (@ (@ (@ tptp.bij_betw_l_l Beta2) tptp.top_top_set_l) tptp.top_top_set_l) (= (@ (@ tptp.member_l (@ Beta2 L2)) (@ tptp.lID_G_r_l_v (@ (@ (@ tptp.r_G_r_l_v Alpha2) Beta2) S))) (@ (@ tptp.member_l L2) (@ tptp.lID_G_r_l_v S)))))))
% 0.57/0.78 (assert (forall ((R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (=> (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v S)) (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v S2))))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ tptp.reachable_r_l_v tptp.subst) S) (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v S)))))
% 0.57/0.78 (assert (forall ((L2 tptp.l) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r)) (let ((_let_1 (@ tptp.member_l L2))) (=> (@ _let_1 (@ tptp.lID_G_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) tptp.none_P277133687_r_l_v))) (@ _let_1 (@ tptp.lID_G_r_l_v S))))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Ls tptp.produc1156025366_r_l_v) (L2 tptp.l)) (let ((_let_1 (@ tptp.member_l L2))) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v Ls)) (=> (@ _let_1 (@ tptp.lID_L_l_r_v Ls)) (@ _let_1 (@ tptp.lID_G_r_l_v S)))))))
% 0.57/0.78 (assert (forall ((A5 tptp.set_r)) (=> (@ tptp.finite_finite_r A5) (@ tptp.finite_finite_set_r (@ tptp.collect_set_r (lambda ((B6 tptp.set_r)) (@ (@ tptp.ord_less_eq_set_r B6) A5)))))))
% 0.57/0.78 (assert (forall ((A5 tptp.set_l)) (=> (@ tptp.finite_finite_l A5) (@ tptp.finite_finite_set_l (@ tptp.collect_set_l (lambda ((B6 tptp.set_l)) (@ (@ tptp.ord_less_eq_set_l B6) A5)))))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r)) (=> (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v S)) (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) tptp.none_P277133687_r_l_v))))))
% 0.57/0.78 (assert (forall ((L2 tptp.l) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Ls tptp.produc1156025366_r_l_v)) (let ((_let_1 (@ (@ tptp.fun_up709272714_r_l_v S) R))) (let ((_let_2 (@ tptp.member_l L2))) (=> (@ _let_2 (@ tptp.lID_G_r_l_v (@ _let_1 tptp.none_P277133687_r_l_v))) (@ _let_2 (@ tptp.lID_G_r_l_v (@ _let_1 (@ tptp.some_P1807977723_r_l_v Ls)))))))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (Ls tptp.produc1156025366_r_l_v) (R tptp.r)) (=> (= (@ S R2) (@ tptp.some_P1807977723_r_l_v Ls)) (=> (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) tptp.none_P277133687_r_l_v))) (=> (not (= R R2)) (@ tptp.finite_finite_l (@ tptp.lID_L_l_r_v Ls)))))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r)) (@ (@ tptp.ord_less_eq_set_l (@ tptp.lID_G_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) tptp.none_P277133687_r_l_v))) (@ tptp.lID_G_r_l_v S))))
% 0.57/0.78 (assert (forall ((A5 tptp.set_set_r) (A tptp.set_r)) (=> (@ tptp.finite_finite_set_r A5) (=> (@ (@ tptp.member_set_r A) A5) (exists ((X3 tptp.set_r)) (and (@ (@ tptp.member_set_r X3) A5) (@ (@ tptp.ord_less_eq_set_r X3) A) (forall ((Xa2 tptp.set_r)) (=> (@ (@ tptp.member_set_r Xa2) A5) (=> (@ (@ tptp.ord_less_eq_set_r Xa2) X3) (= X3 Xa2))))))))))
% 0.57/0.78 (assert (forall ((A5 tptp.set_set_l) (A tptp.set_l)) (=> (@ tptp.finite_finite_set_l A5) (=> (@ (@ tptp.member_set_l A) A5) (exists ((X3 tptp.set_l)) (and (@ (@ tptp.member_set_l X3) A5) (@ (@ tptp.ord_less_eq_set_l X3) A) (forall ((Xa2 tptp.set_l)) (=> (@ (@ tptp.member_set_l Xa2) A5) (=> (@ (@ tptp.ord_less_eq_set_l Xa2) X3) (= X3 Xa2))))))))))
% 0.57/0.78 (assert (forall ((A5 tptp.set_set_r) (A tptp.set_r)) (=> (@ tptp.finite_finite_set_r A5) (=> (@ (@ tptp.member_set_r A) A5) (exists ((X3 tptp.set_r)) (and (@ (@ tptp.member_set_r X3) A5) (@ (@ tptp.ord_less_eq_set_r A) X3) (forall ((Xa2 tptp.set_r)) (=> (@ (@ tptp.member_set_r Xa2) A5) (=> (@ (@ tptp.ord_less_eq_set_r X3) Xa2) (= X3 Xa2))))))))))
% 0.57/0.78 (assert (forall ((A5 tptp.set_set_l) (A tptp.set_l)) (=> (@ tptp.finite_finite_set_l A5) (=> (@ (@ tptp.member_set_l A) A5) (exists ((X3 tptp.set_l)) (and (@ (@ tptp.member_set_l X3) A5) (@ (@ tptp.ord_less_eq_set_l A) X3) (forall ((Xa2 tptp.set_l)) (=> (@ (@ tptp.member_set_l Xa2) A5) (=> (@ (@ tptp.ord_less_eq_set_l X3) Xa2) (= X3 Xa2))))))))))
% 0.57/0.78 (assert (forall ((B5 tptp.set_r) (A5 tptp.set_r)) (=> (@ tptp.finite_finite_r B5) (=> (@ (@ tptp.ord_less_eq_set_r A5) B5) (@ tptp.finite_finite_r A5)))))
% 0.57/0.78 (assert (forall ((B5 tptp.set_l) (A5 tptp.set_l)) (=> (@ tptp.finite_finite_l B5) (=> (@ (@ tptp.ord_less_eq_set_l A5) B5) (@ tptp.finite_finite_l A5)))))
% 0.57/0.78 (assert (forall ((S6 tptp.set_r) (T2 tptp.set_r)) (=> (@ (@ tptp.ord_less_eq_set_r S6) T2) (=> (not (@ tptp.finite_finite_r S6)) (not (@ tptp.finite_finite_r T2))))))
% 0.57/0.78 (assert (forall ((S6 tptp.set_l) (T2 tptp.set_l)) (=> (@ (@ tptp.ord_less_eq_set_l S6) T2) (=> (not (@ tptp.finite_finite_l S6)) (not (@ tptp.finite_finite_l T2))))))
% 0.57/0.78 (assert (forall ((A5 tptp.set_r) (B5 tptp.set_r)) (=> (@ (@ tptp.ord_less_eq_set_r A5) B5) (=> (@ tptp.finite_finite_r B5) (@ tptp.finite_finite_r A5)))))
% 0.57/0.78 (assert (forall ((A5 tptp.set_l) (B5 tptp.set_l)) (=> (@ (@ tptp.ord_less_eq_set_l A5) B5) (=> (@ tptp.finite_finite_l B5) (@ tptp.finite_finite_l A5)))))
% 0.57/0.78 (assert (forall ((L2 tptp.l) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ tptp.member_l L2) (@ tptp.lID_G_r_l_v S)) (not (forall ((R5 tptp.r) (Ls3 tptp.produc1156025366_r_l_v)) (=> (= (@ S R5) (@ tptp.some_P1807977723_r_l_v Ls3)) (not (@ (@ tptp.member_l L2) (@ tptp.lID_L_l_r_v Ls3)))))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) S2) (=> (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v S)) (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v S2)))))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r)) (@ (@ tptp.ord_less_eq_set_r (@ tptp.rID_G_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) tptp.none_P277133687_r_l_v))) (@ tptp.rID_G_r_l_v S))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ tptp.reachable_r_l_v Subst) S) (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v S))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ tptp.reachable_r_l_v Subst) S) (=> (not (@ tptp.finite_finite_l tptp.top_top_set_l)) (exists ((L tptp.l)) (not (@ (@ tptp.member_l L) (@ tptp.lID_G_r_l_v S)))))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r)) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v S)) (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) tptp.none_P277133687_r_l_v)))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (Alpha2 (-> tptp.r tptp.r)) (Beta2 (-> tptp.l tptp.l)) (L2 tptp.l) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ (@ tptp.bij_betw_r_r Alpha2) tptp.top_top_set_r) tptp.top_top_set_r) (=> (@ (@ (@ tptp.bij_betw_l_l Beta2) tptp.top_top_set_l) tptp.top_top_set_l) (= (@ (@ tptp.member_l (@ Beta2 L2)) (@ tptp.lID_G_r_l_v (@ (@ (@ tptp.r_G_r_l_v Alpha2) Beta2) S))) (@ (@ tptp.member_l L2) (@ tptp.lID_G_r_l_v S))))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (Ls tptp.produc1156025366_r_l_v) (R tptp.r)) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S R2) (@ tptp.some_P1807977723_r_l_v Ls)) (=> (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) tptp.none_P277133687_r_l_v))) (=> (not (= R R2)) (@ tptp.finite_finite_l (@ tptp.lID_L_l_r_v Ls))))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) S2) (=> (forall ((Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E5 tptp.cntxt_r_l_v) (E3 tptp.expr_r_l_v)) (not (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) (@ (@ tptp.plug_r_l_v E5) (@ tptp.rfork_r_l_v E3)))))))) (@ (@ tptp.ord_less_eq_set_r (@ tptp.rID_G_r_l_v S2)) (@ tptp.rID_G_r_l_v S)))))))
% 0.57/0.78 (assert (forall ((R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v)) (L2 tptp.l)) (let ((_let_1 (@ tptp.member_l L2))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (=> (forall ((Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E5 tptp.cntxt_r_l_v) (V2 tptp.val_r_l_v)) (not (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) (@ (@ tptp.plug_r_l_v E5) (@ tptp.ref_r_l_v (@ tptp.vE_r_l_v V2))))))))) (=> (not (@ _let_1 (@ tptp.lID_G_r_l_v S))) (not (@ _let_1 (@ tptp.lID_G_r_l_v S2)))))))))
% 0.57/0.78 (assert (forall ((S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (V tptp.val_r_l_v) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (L2 tptp.l) (R2 tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (= (@ S_1 R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.ref_r_l_v (@ tptp.vE_r_l_v V))))))) (=> (= S_2 (@ (@ (@ tptp.fun_up709272714_r_l_v S_1) R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ (@ tptp.fun_up1835647912_r_l_v Tau2) L2) (@ tptp.some_val_r_l_v V))) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.loc_l_r_v L2)))))))) (=> (not (@ (@ tptp.member_l L2) (@ tptp.lID_G_r_l_v S_1))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R2) S_1) S_22) (=> (not (= R R2)) (=> (@ (@ tptp.reachable_r_l_v tptp.subst) S_1) (=> (not (@ tptp.finite_finite_l tptp.top_top_set_l)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v tptp.subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32))))))))))))))))
% 0.57/0.78 (assert (forall ((X32 tptp.l) (Y32 tptp.l)) (= (= (@ tptp.loc_l_r_v X32) (@ tptp.loc_l_r_v Y32)) (= X32 Y32))))
% 0.57/0.78 (assert (forall ((X4 tptp.expr_r_l_v) (Y4 tptp.expr_r_l_v)) (= (= (@ tptp.ref_r_l_v X4) (@ tptp.ref_r_l_v Y4)) (= X4 Y4))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (V tptp.val_r_l_v) (L2 tptp.l)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.ref_r_l_v (@ tptp.vE_r_l_v V))))))) (=> (not (@ (@ tptp.member_l L2) (@ tptp.lID_G_r_l_v S))) (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ (@ tptp.fun_up1835647912_r_l_v Tau2) L2) (@ tptp.some_val_r_l_v V))) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.loc_l_r_v L2))))))))))))))
% 0.57/0.78 (assert (forall ((R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (=> (forall ((Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E5 tptp.cntxt_r_l_v) (V2 tptp.val_r_l_v)) (not (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) (@ (@ tptp.plug_r_l_v E5) (@ tptp.ref_r_l_v (@ tptp.vE_r_l_v V2))))))))) (@ (@ tptp.ord_less_eq_set_l (@ tptp.lID_G_r_l_v S2)) (@ tptp.lID_G_r_l_v S))))))
% 0.57/0.78 (assert (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (V tptp.val_r_l_v) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ (@ tptp.plug_r_l_v E) (@ tptp.ref_r_l_v (@ tptp.vE_r_l_v V))))))) (= (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (exists ((L3 tptp.l)) (and (not (@ (@ tptp.member_l L3) (@ tptp.lID_G_r_l_v S))) (= S2 (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v (@ (@ (@ tptp.fun_up1835647912_r_l_v Tau2) L3) (@ tptp.some_val_r_l_v V))) (@ (@ tptp.plug_r_l_v E) (@ tptp.vE_r_l_v (@ tptp.loc_l_r_v L3))))))))))))))
% 0.57/0.78 (assert (forall ((X1 tptp.val_r_l_v) (X4 tptp.expr_r_l_v)) (not (= (@ tptp.vE_r_l_v X1) (@ tptp.ref_r_l_v X4)))))
% 0.57/0.78 (assert (forall ((X32 tptp.l) (X4 tptp.r)) (not (= (@ tptp.loc_l_r_v X32) (@ tptp.rid_r_l_v X4)))))
% 0.57/0.78 (assert (forall ((X4 tptp.expr_r_l_v) (X8 tptp.expr_r_l_v)) (not (= (@ tptp.ref_r_l_v X4) (@ tptp.rjoin_r_l_v X8)))))
% 0.57/0.78 (assert (forall ((X4 tptp.expr_r_l_v) (X7 tptp.expr_r_l_v)) (not (= (@ tptp.ref_r_l_v X4) (@ tptp.rfork_r_l_v X7)))))
% 0.57/0.78 (assert (forall ((X1 tptp.const) (X32 tptp.l)) (not (= (@ tptp.cV_r_l_v X1) (@ tptp.loc_l_r_v X32)))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (V tptp.val_r_l_v) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ (@ tptp.plug_r_l_v E) (@ tptp.ref_r_l_v (@ tptp.vE_r_l_v V))))))) (= (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) S2) (exists ((L3 tptp.l)) (and (not (@ (@ tptp.member_l L3) (@ tptp.lID_G_r_l_v S))) (= S2 (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v (@ (@ (@ tptp.fun_up1835647912_r_l_v Tau2) L3) (@ tptp.some_val_r_l_v V))) (@ (@ tptp.plug_r_l_v E) (@ tptp.vE_r_l_v (@ tptp.loc_l_r_v L3)))))))))))))))
% 0.57/0.78 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (V tptp.val_r_l_v) (L2 tptp.l)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.ref_r_l_v (@ tptp.vE_r_l_v V))))))) (=> (not (@ (@ tptp.member_l L2) (@ tptp.lID_G_r_l_v S))) (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ (@ tptp.fun_up1835647912_r_l_v Tau2) L2) (@ tptp.some_val_r_l_v V))) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.loc_l_r_v L2)))))))))))))))
% 41.58/41.82 (assert (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (V tptp.val_r_l_v) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (L2 tptp.l) (R2 tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S_1 R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.ref_r_l_v (@ tptp.vE_r_l_v V))))))) (=> (= S_2 (@ (@ (@ tptp.fun_up709272714_r_l_v S_1) R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ (@ tptp.fun_up1835647912_r_l_v Tau2) L2) (@ tptp.some_val_r_l_v V))) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.loc_l_r_v L2)))))))) (=> (not (@ (@ tptp.member_l L2) (@ tptp.lID_G_r_l_v S_1))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R2) S_1) S_22) (=> (not (= R R2)) (=> (@ (@ tptp.reachable_r_l_v Subst) S_1) (=> (not (@ tptp.finite_finite_l tptp.top_top_set_l)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v Subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32)))))))))))))))))
% 41.58/41.82 (assert (forall ((X tptp.option_val_r_l_v) (Y tptp.option_val_r_l_v)) (= (@ (@ (@ tptp.if_option_val_r_l_v false) X) Y) Y)))
% 41.58/41.82 (assert (forall ((X tptp.option_val_r_l_v) (Y tptp.option_val_r_l_v)) (= (@ (@ (@ tptp.if_option_val_r_l_v true) X) Y) X)))
% 41.58/41.82 (assert (forall ((P Bool)) (or (= P true) (= P false))))
% 41.58/41.82 (assert (forall ((X tptp.option1457017436_r_l_v) (Y tptp.option1457017436_r_l_v)) (= (@ (@ (@ tptp.if_opt1153928738_r_l_v false) X) Y) Y)))
% 41.58/41.82 (assert (forall ((X tptp.option1457017436_r_l_v) (Y tptp.option1457017436_r_l_v)) (= (@ (@ (@ tptp.if_opt1153928738_r_l_v true) X) Y) X)))
% 41.58/41.82 (assert (not (= tptp.s (@ (@ (@ tptp.fun_up709272714_r_l_v tptp.s) tptp.r2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v tptp.sigma) (@ (@ tptp.produc1834103605_r_l_v tptp.tau) (@ (@ tptp.plug_r_l_v tptp.e) (@ tptp.rfork_r_l_v tptp.e2)))))))))
% 41.58/41.82 (set-info :filename cvc5---1.0.5_29985)
% 41.58/41.82 (check-sat-assuming ( true ))
% 41.58/41.82 ------- get file name : TPTP file name is ITP047^1
% 41.58/41.82 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29985.smt2...
% 41.58/41.82 --- Run --ho-elim --full-saturate-quant at 10...
% 41.58/41.82 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 41.58/41.82 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 41.58/41.82 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 41.58/41.82 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 41.58/41.82 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 10...
% 41.58/41.82 % SZS status Theorem for ITP047^1
% 41.58/41.82 % SZS output start Proof for ITP047^1
% 41.58/41.82 (
% 41.58/41.82 (let ((_let_1 (@ tptp.rfork_r_l_v tptp.e2))) (let ((_let_2 (@ tptp.plug_r_l_v tptp.e))) (let ((_let_3 (@ tptp.produc1834103605_r_l_v tptp.tau))) (let ((_let_4 (@ tptp.produc297528454_r_l_v tptp.sigma))) (let ((_let_5 (@ tptp.some_P1807977723_r_l_v (@ _let_4 (@ _let_3 (@ _let_2 _let_1)))))) (let ((_let_6 (@ (@ tptp.fun_up709272714_r_l_v tptp.s) tptp.r2))) (let ((_let_7 (not (= tptp.s (@ _let_6 _let_5))))) (let ((_let_8 (forall ((X tptp.option1457017436_r_l_v) (Y tptp.option1457017436_r_l_v)) (= (@ (@ (@ tptp.if_opt1153928738_r_l_v false) X) Y) Y)))) (let ((_let_9 (@ tptp.finite_finite_l tptp.top_top_set_l))) (let ((_let_10 (@ tptp.finite_finite_set_l tptp.top_top_set_set_l))) (let ((_let_11 (@ tptp.finite_finite_r tptp.top_top_set_r))) (let ((_let_12 (@ tptp.finite_finite_set_r tptp.top_top_set_set_r))) (let ((_let_13 (and _let_9 _let_9))) (let ((_let_14 (@ tptp.finite785973648od_l_l tptp.top_to320296343od_l_l))) (let ((_let_15 (and _let_9 _let_11))) (let ((_let_16 (@ tptp.finite835542678od_l_r tptp.top_to715231133od_l_r))) (let ((_let_17 (and _let_11 _let_9))) (let ((_let_18 (@ tptp.finite1457622794od_r_l tptp.top_to1639761425od_r_l))) (let ((_let_19 (and _let_11 _let_11))) (let ((_let_20 (@ tptp.finite1507191824od_r_r tptp.top_to2034696215od_r_r))) (let ((_let_21 (= tptp.eq_states_r_l_v (lambda ((S5 (-> tptp.r tptp.option1457017436_r_l_v)) (S3 (-> tptp.r tptp.option1457017436_r_l_v))) (exists ((Alpha3 (-> tptp.r tptp.r)) (Beta3 (-> tptp.l tptp.l))) (and (@ (@ (@ tptp.bij_betw_r_r Alpha3) tptp.top_top_set_r) tptp.top_top_set_r) (@ (@ (@ tptp.bij_betw_l_l Beta3) tptp.top_top_set_l) tptp.top_top_set_l) (= (@ (@ (@ tptp.r_G_r_l_v Alpha3) Beta3) S5) S3))))))) (let ((_let_22 (= tptp.bij_betw_l_l (lambda ((F2 (-> tptp.l tptp.l)) (A7 tptp.set_l) (B6 tptp.set_l)) (exists ((G2 (-> tptp.l tptp.l))) (and (forall ((X2 tptp.l)) (let ((_let_1 (@ F2 X2))) (=> (@ (@ tptp.member_l X2) A7) (and (@ (@ tptp.member_l _let_1) B6) (= (@ G2 _let_1) X2))))) (forall ((X2 tptp.l)) (let ((_let_1 (@ G2 X2))) (=> (@ (@ tptp.member_l X2) B6) (and (@ (@ tptp.member_l _let_1) A7) (= (@ F2 _let_1) X2))))))))))) (let ((_let_23 (= tptp.bij_betw_r_r (lambda ((F2 (-> tptp.r tptp.r)) (A7 tptp.set_r) (B6 tptp.set_r)) (exists ((G2 (-> tptp.r tptp.r))) (and (forall ((X2 tptp.r)) (let ((_let_1 (@ F2 X2))) (=> (@ (@ tptp.member_r X2) A7) (and (@ (@ tptp.member_r _let_1) B6) (= (@ G2 _let_1) X2))))) (forall ((X2 tptp.r)) (let ((_let_1 (@ G2 X2))) (=> (@ (@ tptp.member_r X2) B6) (and (@ (@ tptp.member_r _let_1) A7) (= (@ F2 _let_1) X2))))))))))) (let ((_let_24 (= tptp.bij_betw_r_l (lambda ((F2 (-> tptp.r tptp.l)) (A7 tptp.set_r) (B6 tptp.set_l)) (exists ((G2 (-> tptp.l tptp.r))) (and (forall ((X2 tptp.r)) (let ((_let_1 (@ F2 X2))) (=> (@ (@ tptp.member_r X2) A7) (and (@ (@ tptp.member_l _let_1) B6) (= (@ G2 _let_1) X2))))) (forall ((X2 tptp.l)) (let ((_let_1 (@ G2 X2))) (=> (@ (@ tptp.member_l X2) B6) (and (@ (@ tptp.member_r _let_1) A7) (= (@ F2 _let_1) X2))))))))))) (let ((_let_25 (= tptp.bij_betw_l_r (lambda ((F2 (-> tptp.l tptp.r)) (A7 tptp.set_l) (B6 tptp.set_r)) (exists ((G2 (-> tptp.r tptp.l))) (and (forall ((X2 tptp.l)) (let ((_let_1 (@ F2 X2))) (=> (@ (@ tptp.member_l X2) A7) (and (@ (@ tptp.member_r _let_1) B6) (= (@ G2 _let_1) X2))))) (forall ((X2 tptp.r)) (let ((_let_1 (@ G2 X2))) (=> (@ (@ tptp.member_r X2) B6) (and (@ (@ tptp.member_l _let_1) A7) (= (@ F2 _let_1) X2))))))))))) (let ((_let_26 (@ tptp.finite1541484284um_l_l tptp.top_to1010946379um_l_l))) (let ((_let_27 (@ tptp.finite1591053314um_l_r tptp.top_to1405881169um_l_r))) (let ((_let_28 (@ tptp.finite65649782um_r_l tptp.top_to182927813um_r_l))) (let ((_let_29 (= tptp.domain1547879849_r_l_v (lambda ((S5 (-> tptp.r tptp.option1457017436_r_l_v))) (forall ((R6 tptp.r) (Ls2 tptp.produc1156025366_r_l_v)) (=> (= (@ S5 R6) (@ tptp.some_P1807977723_r_l_v Ls2)) (@ tptp.domain87684397_l_r_v Ls2))))))) (let ((_let_30 (= tptp.combine_l_val_r_l_v (lambda ((F2 (-> tptp.l tptp.option_val_r_l_v)) (G2 (-> tptp.l tptp.option_val_r_l_v)) (X2 tptp.l)) (let ((_let_1 (@ G2 X2))) (@ (@ (@ tptp.if_option_val_r_l_v (= _let_1 tptp.none_val_r_l_v)) (@ F2 X2)) _let_1)))))) (let ((_let_31 (= tptp.s2 (@ (@ (@ tptp.fun_up709272714_r_l_v (@ _let_6 (@ tptp.some_P1807977723_r_l_v (@ _let_4 (@ _let_3 (@ _let_2 (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v tptp.r3)))))))) tptp.r3) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v (@ (@ tptp.combine_l_val_r_l_v tptp.sigma) tptp.tau)) (@ (@ tptp.produc1834103605_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) tptp.e2))))))) (let ((_let_32 (forall ((F (-> tptp.r tptp.option1457017436_r_l_v)) (X tptp.r) (Y tptp.option1457017436_r_l_v)) (= (@ (@ (@ (@ tptp.fun_up709272714_r_l_v F) X) Y) X) Y)))) (let ((_let_33 (= tptp.fun_up1835647912_r_l_v (lambda ((F2 (-> tptp.l tptp.option_val_r_l_v)) (X2 tptp.l) (Y2 tptp.option_val_r_l_v) (Z2 tptp.l)) (@ (@ (@ tptp.if_option_val_r_l_v (= Z2 X2)) Y2) (@ F2 Z2)))))) (let ((_let_34 (= tptp.fun_up709272714_r_l_v (lambda ((F2 (-> tptp.r tptp.option1457017436_r_l_v)) (X2 tptp.r) (Y2 tptp.option1457017436_r_l_v) (Z2 tptp.r)) (@ (@ (@ tptp.if_opt1153928738_r_l_v (= Z2 X2)) Y2) (@ F2 Z2)))))) (let ((_let_35 (@ tptp.s tptp.r2))) (let ((_let_36 (= _let_35 _let_5))) (let ((_let_37 (tptp.s tptp.r2))) (let ((_let_38 (tptp.rfork_r_l_v tptp.e2))) (let ((_let_39 (tptp.plug_r_l_v tptp.e _let_38))) (let ((_let_40 (tptp.produc1834103605_r_l_v tptp.tau _let_39))) (let ((_let_41 (tptp.produc297528454_r_l_v tptp.sigma _let_40))) (let ((_let_42 (tptp.some_P1807977723_r_l_v _let_41))) (let ((_let_43 (= _let_42 _let_37))) (let ((_let_44 (lambdaF_20 k_21))) (let ((_let_45 (tptp.s k_21))) (let ((_let_46 (= _let_45 _let_44))) (let ((_let_47 (tptp.if_opt1153928738_r_l_v BOOLEAN_TERM_VARIABLE_38443 _let_42 _let_37))) (let ((_let_48 (lambdaF_20 tptp.r2))) (let ((_let_49 (= _let_48 _let_47))) (let ((_let_50 (= _let_42 _let_47))) (let ((_let_51 (= tptp.r2 k_21))) (let ((_let_52 (forall ((u (-> (-> tptp.r tptp.option1457017436_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v) Bool)) (e (-> (-> tptp.r tptp.option1457017436_r_l_v) Bool)) (i (-> tptp.r tptp.option1457017436_r_l_v))) (not (forall ((v (-> (-> tptp.r tptp.option1457017436_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v) Bool))) (not (forall ((ii (-> tptp.r tptp.option1457017436_r_l_v))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_53 (forall ((u (-> tptp.r tptp.val_r_l_v)) (e tptp.val_r_l_v) (i tptp.r)) (not (forall ((v (-> tptp.r tptp.val_r_l_v))) (not (forall ((ii tptp.r)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_54 (forall ((u (-> tptp.option_val_r_l_v tptp.option1457017436_r_l_v Bool)) (e (-> tptp.option1457017436_r_l_v Bool)) (i tptp.option_val_r_l_v)) (not (forall ((v (-> tptp.option_val_r_l_v tptp.option1457017436_r_l_v Bool))) (not (forall ((ii tptp.option_val_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_55 (forall ((u (-> tptp.option1457017436_r_l_v tptp.option1457017436_r_l_v Bool)) (e (-> tptp.option1457017436_r_l_v Bool)) (i tptp.option1457017436_r_l_v)) (not (forall ((v (-> tptp.option1457017436_r_l_v tptp.option1457017436_r_l_v Bool))) (not (forall ((ii tptp.option1457017436_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_56 (forall ((u (-> tptp.option_val_r_l_v Bool)) (e Bool) (i tptp.option_val_r_l_v)) (not (forall ((v (-> tptp.option_val_r_l_v Bool))) (not (forall ((ii tptp.option_val_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_57 (forall ((u (-> (-> tptp.l tptp.option_val_r_l_v) tptp.l tptp.option_val_r_l_v tptp.l tptp.option_val_r_l_v)) (e (-> tptp.l tptp.option_val_r_l_v tptp.l tptp.option_val_r_l_v)) (i (-> tptp.l tptp.option_val_r_l_v))) (not (forall ((v (-> (-> tptp.l tptp.option_val_r_l_v) tptp.l tptp.option_val_r_l_v tptp.l tptp.option_val_r_l_v))) (not (forall ((ii (-> tptp.l tptp.option_val_r_l_v))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_58 (forall ((u (-> tptp.option_val_r_l_v tptp.option_val_r_l_v Bool)) (e (-> tptp.option_val_r_l_v Bool)) (i tptp.option_val_r_l_v)) (not (forall ((v (-> tptp.option_val_r_l_v tptp.option_val_r_l_v Bool))) (not (forall ((ii tptp.option_val_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_59 (forall ((u (-> tptp.option1457017436_r_l_v Bool)) (e Bool) (i tptp.option1457017436_r_l_v)) (not (forall ((v (-> tptp.option1457017436_r_l_v Bool))) (not (forall ((ii tptp.option1457017436_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_60 (forall ((u (-> tptp.option1457017436_r_l_v tptp.option_val_r_l_v Bool)) (e (-> tptp.option_val_r_l_v Bool)) (i tptp.option1457017436_r_l_v)) (not (forall ((v (-> tptp.option1457017436_r_l_v tptp.option_val_r_l_v Bool))) (not (forall ((ii tptp.option1457017436_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_61 (forall ((u (-> tptp.set_r Bool)) (e Bool) (i tptp.set_r)) (not (forall ((v (-> tptp.set_r Bool))) (not (forall ((ii tptp.set_r)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_62 (forall ((u (-> (-> tptp.option_val_r_l_v Bool) Bool)) (e Bool) (i (-> tptp.option_val_r_l_v Bool))) (not (forall ((v (-> (-> tptp.option_val_r_l_v Bool) Bool))) (not (forall ((ii (-> tptp.option_val_r_l_v Bool))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_63 (forall ((u (-> tptp.val_r_l_v tptp.expr_r_l_v)) (e tptp.expr_r_l_v) (i tptp.val_r_l_v)) (not (forall ((v (-> tptp.val_r_l_v tptp.expr_r_l_v))) (not (forall ((ii tptp.val_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_64 (forall ((u (-> (-> tptp.l tptp.l) tptp.produc1156025366_r_l_v tptp.produc1489027110_r_l_v)) (e (-> tptp.produc1156025366_r_l_v tptp.produc1489027110_r_l_v)) (i (-> tptp.l tptp.l))) (not (forall ((v (-> (-> tptp.l tptp.l) tptp.produc1156025366_r_l_v tptp.produc1489027110_r_l_v))) (not (forall ((ii (-> tptp.l tptp.l))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_65 (forall ((u (-> tptp.option1457017436_r_l_v tptp.option1457017436_r_l_v)) (e tptp.option1457017436_r_l_v) (i tptp.option1457017436_r_l_v)) (not (forall ((v (-> tptp.option1457017436_r_l_v tptp.option1457017436_r_l_v))) (not (forall ((ii tptp.option1457017436_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_66 (forall ((u (-> (-> tptp.r tptp.option1457017436_r_l_v) tptp.set_r)) (e tptp.set_r) (i (-> tptp.r tptp.option1457017436_r_l_v))) (not (forall ((v (-> (-> tptp.r tptp.option1457017436_r_l_v) tptp.set_r))) (not (forall ((ii (-> tptp.r tptp.option1457017436_r_l_v))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_67 (forall ((u (-> tptp.l tptp.r Bool)) (e (-> tptp.r Bool)) (i tptp.l)) (not (forall ((v (-> tptp.l tptp.r Bool))) (not (forall ((ii tptp.l)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_68 (forall ((u (-> (-> tptp.l Bool) tptp.set_l)) (e tptp.set_l) (i (-> tptp.l Bool))) (not (forall ((v (-> (-> tptp.l Bool) tptp.set_l))) (not (forall ((ii (-> tptp.l Bool))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_69 (forall ((u (-> (-> tptp.r Bool) tptp.set_r)) (e tptp.set_r) (i (-> tptp.r Bool))) (not (forall ((v (-> (-> tptp.r Bool) tptp.set_r))) (not (forall ((ii (-> tptp.r Bool))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_70 (forall ((u (-> (-> (-> tptp.r tptp.option1457017436_r_l_v) Bool) Bool)) (e Bool) (i (-> (-> tptp.r tptp.option1457017436_r_l_v) Bool))) (not (forall ((v (-> (-> (-> tptp.r tptp.option1457017436_r_l_v) Bool) Bool))) (not (forall ((ii (-> (-> tptp.r tptp.option1457017436_r_l_v) Bool))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_71 (forall ((u (-> tptp.set_option_l Bool)) (e Bool) (i tptp.set_option_l)) (not (forall ((v (-> tptp.set_option_l Bool))) (not (forall ((ii tptp.set_option_l)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_72 (forall ((u (-> tptp.set_r tptp.set_set_r Bool)) (e (-> tptp.set_set_r Bool)) (i tptp.set_r)) (not (forall ((v (-> tptp.set_r tptp.set_set_r Bool))) (not (forall ((ii tptp.set_r)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_73 (forall ((u (-> tptp.set_Product_prod_l_r Bool)) (e Bool) (i tptp.set_Product_prod_l_r)) (not (forall ((v (-> tptp.set_Product_prod_l_r Bool))) (not (forall ((ii tptp.set_Product_prod_l_r)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_74 (forall ((u (-> tptp.set_set_r Bool)) (e Bool) (i tptp.set_set_r)) (not (forall ((v (-> tptp.set_set_r Bool))) (not (forall ((ii tptp.set_set_r)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_75 (forall ((u (-> tptp.produc1489027110_r_l_v tptp.produc1394974636_r_l_v)) (e tptp.produc1394974636_r_l_v) (i tptp.produc1489027110_r_l_v)) (not (forall ((v (-> tptp.produc1489027110_r_l_v tptp.produc1394974636_r_l_v))) (not (forall ((ii tptp.produc1489027110_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_76 (forall ((u (-> (-> tptp.set_r Bool) tptp.set_set_r)) (e tptp.set_set_r) (i (-> tptp.set_r Bool))) (not (forall ((v (-> (-> tptp.set_r Bool) tptp.set_set_r))) (not (forall ((ii (-> tptp.set_r Bool))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_77 (forall ((u (-> tptp.option_val_r_l_v tptp.option_val_r_l_v)) (e tptp.option_val_r_l_v) (i tptp.option_val_r_l_v)) (not (forall ((v (-> tptp.option_val_r_l_v tptp.option_val_r_l_v))) (not (forall ((ii tptp.option_val_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_78 (forall ((u (-> (-> tptp.r tptp.option1457017436_r_l_v) Bool)) (e Bool) (i (-> tptp.r tptp.option1457017436_r_l_v))) (not (forall ((v (-> (-> tptp.r tptp.option1457017436_r_l_v) Bool))) (not (forall ((ii (-> tptp.r tptp.option1457017436_r_l_v))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_79 (forall ((u (-> tptp.set_l tptp.set_set_l Bool)) (e (-> tptp.set_set_l Bool)) (i tptp.set_l)) (not (forall ((v (-> tptp.set_l tptp.set_set_l Bool))) (not (forall ((ii tptp.set_l)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_80 (forall ((u (-> tptp.produc1489027110_r_l_v Bool)) (e Bool) (i tptp.produc1489027110_r_l_v)) (not (forall ((v (-> tptp.produc1489027110_r_l_v Bool))) (not (forall ((ii tptp.produc1489027110_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_81 (forall ((u (-> tptp.set_Product_prod_l_l Bool)) (e Bool) (i tptp.set_Product_prod_l_l)) (not (forall ((v (-> tptp.set_Product_prod_l_l Bool))) (not (forall ((ii tptp.set_Product_prod_l_l)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_82 (forall ((u (-> tptp.set_set_l Bool)) (e Bool) (i tptp.set_set_l)) (not (forall ((v (-> tptp.set_set_l Bool))) (not (forall ((ii tptp.set_set_l)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_83 (forall ((u (-> (-> tptp.set_l Bool) tptp.set_set_l)) (e tptp.set_set_l) (i (-> tptp.set_l Bool))) (not (forall ((v (-> (-> tptp.set_l Bool) tptp.set_set_l))) (not (forall ((ii (-> tptp.set_l Bool))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_84 (forall ((u (-> tptp.option_val_r_l_v tptp.option_val_r_l_v tptp.option_val_r_l_v)) (e (-> tptp.option_val_r_l_v tptp.option_val_r_l_v)) (i tptp.option_val_r_l_v)) (not (forall ((v (-> tptp.option_val_r_l_v tptp.option_val_r_l_v tptp.option_val_r_l_v))) (not (forall ((ii tptp.option_val_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_85 (forall ((u (-> (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v) tptp.expr_r_l_v (-> tptp.r tptp.option1457017436_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v) Bool)) (e (-> tptp.expr_r_l_v (-> tptp.r tptp.option1457017436_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v) Bool)) (i (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v))) (not (forall ((v (-> (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v) tptp.expr_r_l_v (-> tptp.r tptp.option1457017436_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v) Bool))) (not (forall ((ii (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_86 (forall ((u (-> tptp.set_l Bool)) (e Bool) (i tptp.set_l)) (not (forall ((v (-> tptp.set_l Bool))) (not (forall ((ii tptp.set_l)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_87 (forall ((u (-> tptp.l tptp.set_l Bool)) (e (-> tptp.set_l Bool)) (i tptp.l)) (not (forall ((v (-> tptp.l tptp.set_l Bool))) (not (forall ((ii tptp.l)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_88 (forall ((u (-> tptp.set_Product_prod_r_l Bool)) (e Bool) (i tptp.set_Product_prod_r_l)) (not (forall ((v (-> tptp.set_Product_prod_r_l Bool))) (not (forall ((ii tptp.set_Product_prod_r_l)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_89 (forall ((u (-> tptp.produc1156025366_r_l_v tptp.expr_r_l_v)) (e tptp.expr_r_l_v) (i tptp.produc1156025366_r_l_v)) (not (forall ((v (-> tptp.produc1156025366_r_l_v tptp.expr_r_l_v))) (not (forall ((ii tptp.produc1156025366_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_90 (forall ((u (-> Bool tptp.option1457017436_r_l_v tptp.option1457017436_r_l_v tptp.option1457017436_r_l_v)) (e (-> tptp.option1457017436_r_l_v tptp.option1457017436_r_l_v tptp.option1457017436_r_l_v)) (i Bool)) (not (forall ((v (-> Bool tptp.option1457017436_r_l_v tptp.option1457017436_r_l_v tptp.option1457017436_r_l_v))) (not (forall ((ii Bool)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_91 (forall ((u (-> tptp.produc1156025366_r_l_v tptp.option1457017436_r_l_v)) (e tptp.option1457017436_r_l_v) (i tptp.produc1156025366_r_l_v)) (not (forall ((v (-> tptp.produc1156025366_r_l_v tptp.option1457017436_r_l_v))) (not (forall ((ii tptp.produc1156025366_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_92 (forall ((u (-> tptp.expr_r_l_v tptp.produc1164766533_r_l_v)) (e tptp.produc1164766533_r_l_v) (i tptp.expr_r_l_v)) (not (forall ((v (-> tptp.expr_r_l_v tptp.produc1164766533_r_l_v))) (not (forall ((ii tptp.expr_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_93 (forall ((u (-> tptp.r Bool)) (e Bool) (i tptp.r)) (not (forall ((v (-> tptp.r Bool))) (not (forall ((ii tptp.r)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_94 (forall ((u (-> tptp.val_r_l_v tptp.option_val_r_l_v)) (e tptp.option_val_r_l_v) (i tptp.val_r_l_v)) (not (forall ((v (-> tptp.val_r_l_v tptp.option_val_r_l_v))) (not (forall ((ii tptp.val_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_95 (forall ((u (-> tptp.l Bool)) (e Bool) (i tptp.l)) (not (forall ((v (-> tptp.l Bool))) (not (forall ((ii tptp.l)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_96 (forall ((u (-> tptp.set_op160472561um_l_r Bool)) (e Bool) (i tptp.set_op160472561um_l_r)) (not (forall ((v (-> tptp.set_op160472561um_l_r Bool))) (not (forall ((ii tptp.set_op160472561um_l_r)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_97 (forall ((u (-> tptp.option1457017436_r_l_v tptp.option1457017436_r_l_v tptp.option1457017436_r_l_v)) (e (-> tptp.option1457017436_r_l_v tptp.option1457017436_r_l_v)) (i tptp.option1457017436_r_l_v)) (not (forall ((v (-> tptp.option1457017436_r_l_v tptp.option1457017436_r_l_v tptp.option1457017436_r_l_v))) (not (forall ((ii tptp.option1457017436_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_98 (forall ((u (-> (-> tptp.l tptp.option_val_r_l_v) tptp.produc1164766533_r_l_v tptp.produc1156025366_r_l_v)) (e (-> tptp.produc1164766533_r_l_v tptp.produc1156025366_r_l_v)) (i (-> tptp.l tptp.option_val_r_l_v))) (not (forall ((v (-> (-> tptp.l tptp.option_val_r_l_v) tptp.produc1164766533_r_l_v tptp.produc1156025366_r_l_v))) (not (forall ((ii (-> tptp.l tptp.option_val_r_l_v))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_99 (forall ((u (-> tptp.r tptp.option1457017436_r_l_v)) (e tptp.option1457017436_r_l_v) (i tptp.r)) (not (forall ((v (-> tptp.r tptp.option1457017436_r_l_v))) (not (forall ((ii tptp.r)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_100 (forall ((u (-> (-> tptp.r tptp.r) tptp.produc1489027110_r_l_v tptp.produc1394974636_r_l_v)) (e (-> tptp.produc1489027110_r_l_v tptp.produc1394974636_r_l_v)) (i (-> tptp.r tptp.r))) (not (forall ((v (-> (-> tptp.r tptp.r) tptp.produc1489027110_r_l_v tptp.produc1394974636_r_l_v))) (not (forall ((ii (-> tptp.r tptp.r))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_101 (forall ((u (-> tptp.cntxt_r_l_v tptp.expr_r_l_v tptp.expr_r_l_v)) (e (-> tptp.expr_r_l_v tptp.expr_r_l_v)) (i tptp.cntxt_r_l_v)) (not (forall ((v (-> tptp.cntxt_r_l_v tptp.expr_r_l_v tptp.expr_r_l_v))) (not (forall ((ii tptp.cntxt_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_102 (forall ((u (-> (-> tptp.r tptp.option1457017436_r_l_v) tptp.r tptp.option1457017436_r_l_v tptp.r tptp.option1457017436_r_l_v)) (e (-> tptp.r tptp.option1457017436_r_l_v tptp.r tptp.option1457017436_r_l_v)) (i (-> tptp.r tptp.option1457017436_r_l_v))) (not (forall ((v (-> (-> tptp.r tptp.option1457017436_r_l_v) tptp.r tptp.option1457017436_r_l_v tptp.r tptp.option1457017436_r_l_v))) (not (forall ((ii (-> tptp.r tptp.option1457017436_r_l_v))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_103 (forall ((u (-> tptp.produc1164766533_r_l_v tptp.produc1156025366_r_l_v)) (e tptp.produc1156025366_r_l_v) (i tptp.produc1164766533_r_l_v)) (not (forall ((v (-> tptp.produc1164766533_r_l_v tptp.produc1156025366_r_l_v))) (not (forall ((ii tptp.produc1164766533_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_104 (forall ((u (-> (-> tptp.l tptp.option_val_r_l_v) tptp.expr_r_l_v tptp.produc1164766533_r_l_v)) (e (-> tptp.expr_r_l_v tptp.produc1164766533_r_l_v)) (i (-> tptp.l tptp.option_val_r_l_v))) (not (forall ((v (-> (-> tptp.l tptp.option_val_r_l_v) tptp.expr_r_l_v tptp.produc1164766533_r_l_v))) (not (forall ((ii (-> tptp.l tptp.option_val_r_l_v))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_105 (forall ((u (-> tptp.expr_r_l_v tptp.expr_r_l_v)) (e tptp.expr_r_l_v) (i tptp.expr_r_l_v)) (not (forall ((v (-> tptp.expr_r_l_v tptp.expr_r_l_v))) (not (forall ((ii tptp.expr_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_106 (forall ((u (-> tptp.l tptp.option_val_r_l_v)) (e tptp.option_val_r_l_v) (i tptp.l)) (not (forall ((v (-> tptp.l tptp.option_val_r_l_v))) (not (forall ((ii tptp.l)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_107 (forall ((u (-> (-> tptp.l tptp.l) tptp.produc1156025366_r_l_v Bool)) (e (-> tptp.produc1156025366_r_l_v Bool)) (i (-> tptp.l tptp.l))) (not (forall ((v (-> (-> tptp.l tptp.l) tptp.produc1156025366_r_l_v Bool))) (not (forall ((ii (-> tptp.l tptp.l))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_108 (forall ((u (-> (-> tptp.r tptp.option1457017436_r_l_v) tptp.r tptp.option1457017436_r_l_v)) (e (-> tptp.r tptp.option1457017436_r_l_v)) (i (-> tptp.r tptp.option1457017436_r_l_v))) (not (forall ((v (-> (-> tptp.r tptp.option1457017436_r_l_v) tptp.r tptp.option1457017436_r_l_v))) (not (forall ((ii (-> tptp.r tptp.option1457017436_r_l_v))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_109 (forall ((u (-> (-> tptp.r tptp.r) (-> tptp.l tptp.l) tptp.produc1156025366_r_l_v Bool)) (e (-> (-> tptp.l tptp.l) tptp.produc1156025366_r_l_v Bool)) (i (-> tptp.r tptp.r))) (not (forall ((v (-> (-> tptp.r tptp.r) (-> tptp.l tptp.l) tptp.produc1156025366_r_l_v Bool))) (not (forall ((ii (-> tptp.r tptp.r))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_110 (forall ((u (-> tptp.r tptp.l)) (e tptp.l) (i tptp.r)) (not (forall ((v (-> tptp.r tptp.l))) (not (forall ((ii tptp.r)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_111 (forall ((u (-> (-> tptp.option1457017436_r_l_v Bool) Bool)) (e Bool) (i (-> tptp.option1457017436_r_l_v Bool))) (not (forall ((v (-> (-> tptp.option1457017436_r_l_v Bool) Bool))) (not (forall ((ii (-> tptp.option1457017436_r_l_v Bool))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_112 (forall ((u (-> tptp.r tptp.set_r Bool)) (e (-> tptp.set_r Bool)) (i tptp.r)) (not (forall ((v (-> tptp.r tptp.set_r Bool))) (not (forall ((ii tptp.r)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_113 (forall ((u (-> tptp.set_Product_prod_r_r Bool)) (e Bool) (i tptp.set_Product_prod_r_r)) (not (forall ((v (-> tptp.set_Product_prod_r_r Bool))) (not (forall ((ii tptp.set_Product_prod_r_r)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_114 (forall ((u (-> tptp.produc1156025366_r_l_v tptp.l tptp.option_val_r_l_v)) (e (-> tptp.l tptp.option_val_r_l_v)) (i tptp.produc1156025366_r_l_v)) (not (forall ((v (-> tptp.produc1156025366_r_l_v tptp.l tptp.option_val_r_l_v))) (not (forall ((ii tptp.produc1156025366_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_115 (forall ((u (-> tptp.produc1156025366_r_l_v Bool)) (e Bool) (i tptp.produc1156025366_r_l_v)) (not (forall ((v (-> tptp.produc1156025366_r_l_v Bool))) (not (forall ((ii tptp.produc1156025366_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_116 (forall ((u (-> Bool tptp.option_val_r_l_v tptp.option_val_r_l_v tptp.option_val_r_l_v)) (e (-> tptp.option_val_r_l_v tptp.option_val_r_l_v tptp.option_val_r_l_v)) (i Bool)) (not (forall ((v (-> Bool tptp.option_val_r_l_v tptp.option_val_r_l_v tptp.option_val_r_l_v))) (not (forall ((ii Bool)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_117 (forall ((u (-> tptp.produc1394974636_r_l_v Bool)) (e Bool) (i tptp.produc1394974636_r_l_v)) (not (forall ((v (-> tptp.produc1394974636_r_l_v Bool))) (not (forall ((ii tptp.produc1394974636_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_118 (forall ((u (-> tptp.set_option_set_l Bool)) (e Bool) (i tptp.set_option_set_l)) (not (forall ((v (-> tptp.set_option_set_l Bool))) (not (forall ((ii tptp.set_option_set_l)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_119 (forall ((u (-> tptp.sum_sum_l_r Bool)) (e Bool) (i tptp.sum_sum_l_r)) (not (forall ((v (-> tptp.sum_sum_l_r Bool))) (not (forall ((ii tptp.sum_sum_l_r)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_120 (forall ((u (-> tptp.r tptp.r)) (e tptp.r) (i tptp.r)) (not (forall ((v (-> tptp.r tptp.r))) (not (forall ((ii tptp.r)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_121 (forall ((u (-> tptp.l tptp.l)) (e tptp.l) (i tptp.l)) (not (forall ((v (-> tptp.l tptp.l))) (not (forall ((ii tptp.l)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_122 (forall ((u (-> tptp.produc1156025366_r_l_v tptp.produc1489027110_r_l_v)) (e tptp.produc1489027110_r_l_v) (i tptp.produc1156025366_r_l_v)) (not (forall ((v (-> tptp.produc1156025366_r_l_v tptp.produc1489027110_r_l_v))) (not (forall ((ii tptp.produc1156025366_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_123 (forall ((u (-> tptp.produc1164766533_r_l_v Bool)) (e Bool) (i tptp.produc1164766533_r_l_v)) (not (forall ((v (-> tptp.produc1164766533_r_l_v Bool))) (not (forall ((ii tptp.produc1164766533_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_124 (forall ((u (-> tptp.l tptp.r)) (e tptp.r) (i tptp.l)) (not (forall ((v (-> tptp.l tptp.r))) (not (forall ((ii tptp.l)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_125 (forall ((u (-> tptp.r (-> tptp.r tptp.option1457017436_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v) Bool)) (e (-> (-> tptp.r tptp.option1457017436_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v) Bool)) (i tptp.r)) (not (forall ((v (-> tptp.r (-> tptp.r tptp.option1457017436_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v) Bool))) (not (forall ((ii tptp.r)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_126 (forall ((u (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (e (-> tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (i tptp.expr_r_l_v)) (not (forall ((v (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v))) (not (forall ((ii tptp.expr_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_127 (forall ((u (-> (-> tptp.r tptp.r) (-> tptp.l tptp.l) (-> tptp.r tptp.option1457017436_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v) Bool)) (e (-> (-> tptp.l tptp.l) (-> tptp.r tptp.option1457017436_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v) Bool)) (i (-> tptp.r tptp.r))) (not (forall ((v (-> (-> tptp.r tptp.r) (-> tptp.l tptp.l) (-> tptp.r tptp.option1457017436_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v) Bool))) (not (forall ((ii (-> tptp.r tptp.r))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_128 (forall ((u (-> (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v) tptp.r (-> tptp.r tptp.option1457017436_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v) Bool)) (e (-> tptp.r (-> tptp.r tptp.option1457017436_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v) Bool)) (i (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v))) (not (forall ((v (-> (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v) tptp.r (-> tptp.r tptp.option1457017436_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v) Bool))) (not (forall ((ii (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_129 (forall ((u (-> tptp.r (-> tptp.r tptp.option1457017436_r_l_v) Bool)) (e (-> (-> tptp.r tptp.option1457017436_r_l_v) Bool)) (i tptp.r)) (not (forall ((v (-> tptp.r (-> tptp.r tptp.option1457017436_r_l_v) Bool))) (not (forall ((ii tptp.r)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_130 (forall ((u (-> (-> tptp.l tptp.l) (-> tptp.r tptp.option1457017436_r_l_v) tptp.r tptp.option1457017436_r_l_v)) (e (-> (-> tptp.r tptp.option1457017436_r_l_v) tptp.r tptp.option1457017436_r_l_v)) (i (-> tptp.l tptp.l))) (not (forall ((v (-> (-> tptp.l tptp.l) (-> tptp.r tptp.option1457017436_r_l_v) tptp.r tptp.option1457017436_r_l_v))) (not (forall ((ii (-> tptp.l tptp.l))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_131 (forall ((u (-> (-> tptp.r tptp.r) (-> tptp.l tptp.l) (-> tptp.r tptp.option1457017436_r_l_v) tptp.r tptp.option1457017436_r_l_v)) (e (-> (-> tptp.l tptp.l) (-> tptp.r tptp.option1457017436_r_l_v) tptp.r tptp.option1457017436_r_l_v)) (i (-> tptp.r tptp.r))) (not (forall ((v (-> (-> tptp.r tptp.r) (-> tptp.l tptp.l) (-> tptp.r tptp.option1457017436_r_l_v) tptp.r tptp.option1457017436_r_l_v))) (not (forall ((ii (-> tptp.r tptp.r))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_132 (forall ((u (-> tptp.const tptp.val_r_l_v)) (e tptp.val_r_l_v) (i tptp.const)) (not (forall ((v (-> tptp.const tptp.val_r_l_v))) (not (forall ((ii tptp.const)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_133 (forall ((u (-> (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v) Bool)) (e Bool) (i (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v))) (not (forall ((v (-> (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v) Bool))) (not (forall ((ii (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_134 (forall ((u (-> tptp.set_option_r Bool)) (e Bool) (i tptp.set_option_r)) (not (forall ((v (-> tptp.set_option_r Bool))) (not (forall ((ii tptp.set_option_r)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_135 (forall ((u (-> (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v) Bool)) (e (-> (-> tptp.r tptp.option1457017436_r_l_v) Bool)) (i (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v))) (not (forall ((v (-> (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v) Bool))) (not (forall ((ii (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_136 (forall ((u (-> (-> tptp.sum_sum_l_l Bool) tptp.set_Sum_sum_l_l)) (e tptp.set_Sum_sum_l_l) (i (-> tptp.sum_sum_l_l Bool))) (not (forall ((v (-> (-> tptp.sum_sum_l_l Bool) tptp.set_Sum_sum_l_l))) (not (forall ((ii (-> tptp.sum_sum_l_l Bool))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_137 (forall ((u (-> tptp.expr_r_l_v (-> tptp.r tptp.option1457017436_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v) Bool)) (e (-> (-> tptp.r tptp.option1457017436_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v) Bool)) (i tptp.expr_r_l_v)) (not (forall ((v (-> tptp.expr_r_l_v (-> tptp.r tptp.option1457017436_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v) Bool))) (not (forall ((ii tptp.expr_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_138 (forall ((u (-> (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v) (-> (-> tptp.r tptp.option1457017436_r_l_v) Bool) Bool)) (e (-> (-> (-> tptp.r tptp.option1457017436_r_l_v) Bool) Bool)) (i (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v))) (not (forall ((v (-> (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v) (-> (-> tptp.r tptp.option1457017436_r_l_v) Bool) Bool))) (not (forall ((ii (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_139 (forall ((u (-> tptp.set_Sum_sum_r_l Bool)) (e Bool) (i tptp.set_Sum_sum_r_l)) (not (forall ((v (-> tptp.set_Sum_sum_r_l Bool))) (not (forall ((ii tptp.set_Sum_sum_r_l)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_140 (forall ((u (-> tptp.set_op865065573um_r_l Bool)) (e Bool) (i tptp.set_op865065573um_r_l)) (not (forall ((v (-> tptp.set_op865065573um_r_l Bool))) (not (forall ((ii tptp.set_op865065573um_r_l)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_141 (forall ((u (-> tptp.set_Sum_sum_l_r Bool)) (e Bool) (i tptp.set_Sum_sum_l_r)) (not (forall ((v (-> tptp.set_Sum_sum_l_r Bool))) (not (forall ((ii tptp.set_Sum_sum_l_r)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_142 (forall ((u (-> tptp.set_Sum_sum_l_l Bool)) (e Bool) (i tptp.set_Sum_sum_l_l)) (not (forall ((v (-> tptp.set_Sum_sum_l_l Bool))) (not (forall ((ii tptp.set_Sum_sum_l_l)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_143 (forall ((u (-> tptp.set_op76482283um_l_l Bool)) (e Bool) (i tptp.set_op76482283um_l_l)) (not (forall ((v (-> tptp.set_op76482283um_l_l Bool))) (not (forall ((ii tptp.set_op76482283um_l_l)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_144 (forall ((u (-> (-> tptp.sum_sum_r_l Bool) tptp.set_Sum_sum_r_l)) (e tptp.set_Sum_sum_r_l) (i (-> tptp.sum_sum_r_l Bool))) (not (forall ((v (-> (-> tptp.sum_sum_r_l Bool) tptp.set_Sum_sum_r_l))) (not (forall ((ii (-> tptp.sum_sum_r_l Bool))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_145 (forall ((u (-> tptp.set_option_set_r Bool)) (e Bool) (i tptp.set_option_set_r)) (not (forall ((v (-> tptp.set_option_set_r Bool))) (not (forall ((ii tptp.set_option_set_r)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_146 (forall ((u (-> tptp.sum_sum_r_l Bool)) (e Bool) (i tptp.sum_sum_r_l)) (not (forall ((v (-> tptp.sum_sum_r_l Bool))) (not (forall ((ii tptp.sum_sum_r_l)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_147 (forall ((u (-> (-> tptp.sum_sum_l_r Bool) tptp.set_Sum_sum_l_r)) (e tptp.set_Sum_sum_l_r) (i (-> tptp.sum_sum_l_r Bool))) (not (forall ((v (-> (-> tptp.sum_sum_l_r Bool) tptp.set_Sum_sum_l_r))) (not (forall ((ii (-> tptp.sum_sum_l_r Bool))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_148 (forall ((u (-> tptp.sum_sum_l_l Bool)) (e Bool) (i tptp.sum_sum_l_l)) (not (forall ((v (-> tptp.sum_sum_l_l Bool))) (not (forall ((ii tptp.sum_sum_l_l)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_149 (forall ((u (-> tptp.set_Sum_sum_r_r Bool)) (e Bool) (i tptp.set_Sum_sum_r_r)) (not (forall ((v (-> tptp.set_Sum_sum_r_r Bool))) (not (forall ((ii tptp.set_Sum_sum_r_r)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_150 (forall ((u (-> tptp.r tptp.r Bool)) (e (-> tptp.r Bool)) (i tptp.r)) (not (forall ((v (-> tptp.r tptp.r Bool))) (not (forall ((ii tptp.r)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_151 (forall ((u (-> tptp.r tptp.l Bool)) (e (-> tptp.l Bool)) (i tptp.r)) (not (forall ((v (-> tptp.r tptp.l Bool))) (not (forall ((ii tptp.r)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_152 (forall ((u (-> (-> tptp.l tptp.option_val_r_l_v) Bool)) (e Bool) (i (-> tptp.l tptp.option_val_r_l_v))) (not (forall ((v (-> (-> tptp.l tptp.option_val_r_l_v) Bool))) (not (forall ((ii (-> tptp.l tptp.option_val_r_l_v))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_153 (forall ((u (-> tptp.l tptp.l Bool)) (e (-> tptp.l Bool)) (i tptp.l)) (not (forall ((v (-> tptp.l tptp.l Bool))) (not (forall ((ii tptp.l)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_154 (forall ((u (-> tptp.produc1156025366_r_l_v tptp.produc1156025366_r_l_v)) (e tptp.produc1156025366_r_l_v) (i tptp.produc1156025366_r_l_v)) (not (forall ((v (-> tptp.produc1156025366_r_l_v tptp.produc1156025366_r_l_v))) (not (forall ((ii tptp.produc1156025366_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_155 (forall ((u (-> (-> tptp.l tptp.l) tptp.produc1156025366_r_l_v tptp.produc1156025366_r_l_v)) (e (-> tptp.produc1156025366_r_l_v tptp.produc1156025366_r_l_v)) (i (-> tptp.l tptp.l))) (not (forall ((v (-> (-> tptp.l tptp.l) tptp.produc1156025366_r_l_v tptp.produc1156025366_r_l_v))) (not (forall ((ii (-> tptp.l tptp.l))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_156 (forall ((u (-> (-> tptp.r tptp.r) (-> tptp.l tptp.l) tptp.produc1156025366_r_l_v tptp.produc1156025366_r_l_v)) (e (-> (-> tptp.l tptp.l) tptp.produc1156025366_r_l_v tptp.produc1156025366_r_l_v)) (i (-> tptp.r tptp.r))) (not (forall ((v (-> (-> tptp.r tptp.r) (-> tptp.l tptp.l) tptp.produc1156025366_r_l_v tptp.produc1156025366_r_l_v))) (not (forall ((ii (-> tptp.r tptp.r))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_157 (forall ((u (-> tptp.l tptp.val_r_l_v)) (e tptp.val_r_l_v) (i tptp.l)) (not (forall ((v (-> tptp.l tptp.val_r_l_v))) (not (forall ((ii tptp.l)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_158 (forall ((u (-> tptp.r tptp.r (-> tptp.r tptp.option1457017436_r_l_v) Bool)) (e (-> tptp.r (-> tptp.r tptp.option1457017436_r_l_v) Bool)) (i tptp.r)) (not (forall ((v (-> tptp.r tptp.r (-> tptp.r tptp.option1457017436_r_l_v) Bool))) (not (forall ((ii tptp.r)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_159 (forall ((u (-> (-> tptp.l tptp.l) (-> tptp.r tptp.option1457017436_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v) Bool)) (e (-> (-> tptp.r tptp.option1457017436_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v) Bool)) (i (-> tptp.l tptp.l))) (not (forall ((v (-> (-> tptp.l tptp.l) (-> tptp.r tptp.option1457017436_r_l_v) (-> tptp.r tptp.option1457017436_r_l_v) Bool))) (not (forall ((ii (-> tptp.l tptp.l))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_160 (forall ((u (-> tptp.produc1156025366_r_l_v tptp.set_r)) (e tptp.set_r) (i tptp.produc1156025366_r_l_v)) (not (forall ((v (-> tptp.produc1156025366_r_l_v tptp.set_r))) (not (forall ((ii tptp.produc1156025366_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_161 (forall ((u (-> (-> tptp.r tptp.option1457017436_r_l_v) tptp.set_l)) (e tptp.set_l) (i (-> tptp.r tptp.option1457017436_r_l_v))) (not (forall ((v (-> (-> tptp.r tptp.option1457017436_r_l_v) tptp.set_l))) (not (forall ((ii (-> tptp.r tptp.option1457017436_r_l_v))) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_162 (forall ((u (-> tptp.set_r tptp.set_r Bool)) (e (-> tptp.set_r Bool)) (i tptp.set_r)) (not (forall ((v (-> tptp.set_r tptp.set_r Bool))) (not (forall ((ii tptp.set_r)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_163 (forall ((u (-> tptp.produc1156025366_r_l_v tptp.set_l)) (e tptp.set_l) (i tptp.produc1156025366_r_l_v)) (not (forall ((v (-> tptp.produc1156025366_r_l_v tptp.set_l))) (not (forall ((ii tptp.produc1156025366_r_l_v)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_164 (forall ((u (-> tptp.set_l tptp.set_l Bool)) (e (-> tptp.set_l Bool)) (i tptp.set_l)) (not (forall ((v (-> tptp.set_l tptp.set_l Bool))) (not (forall ((ii tptp.set_l)) (= (@ v ii) (ite (= i ii) e (@ u ii)))))))))) (let ((_let_165 (=))) (let ((_let_166 (@))) (let ((_let_167 (TRANS (CONG (REFL :args (tptp.some_P1807977723_r_l_v)) (TRANS (CONG (REFL :args (_let_4)) (TRANS (CONG (REFL :args (_let_3)) (TRANS (CONG (REFL :args (_let_2)) (THEORY_PREPROCESS :args ((= _let_1 _let_38))) :args _let_166) (THEORY_PREPROCESS :args ((= (@ _let_2 _let_38) _let_39)))) :args _let_166) (THEORY_PREPROCESS :args ((= (@ _let_3 _let_39) _let_40)))) :args _let_166) (THEORY_PREPROCESS :args ((= (@ _let_4 _let_40) _let_41)))) :args _let_166) (THEORY_PREPROCESS :args ((= (@ tptp.some_P1807977723_r_l_v _let_41) _let_42)))))) (let ((_let_168 (THEORY_PREPROCESS :args ((= _let_35 _let_37))))) (let ((_let_169 (= tptp.s lambdaF_20))) (let ((_let_170 (not _let_46))) (let ((_let_171 (EQ_RESOLVE (ASSUME :args (_let_34)) (MACRO_SR_EQ_INTRO :args (_let_34 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_172 (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_173 (AND_INTRO _let_172 _let_171))) (let ((_let_174 (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO _let_173 :args (_let_31 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_175 (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_176 (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_177 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_178 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_179 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_180 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_181 (MACRO_RESOLUTION_TRUST (THEORY_LEMMA :args ((or _let_169 _let_170) THEORY_UF)) (EQ_RESOLVE (ASSUME :args (_let_7)) (TRANS (MACRO_SR_EQ_INTRO (AND_INTRO (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_172 _let_171) :args ((= tptp.eq_states_r_l_v (lambda ((S5 (-> tptp.r tptp.option1457017436_r_l_v)) (S3 (-> tptp.r tptp.option1457017436_r_l_v))) (not (forall ((Alpha3 (-> tptp.r tptp.r)) (Beta3 (-> tptp.l tptp.l))) (or (not (@ (@ (@ tptp.bij_betw_r_r Alpha3) tptp.top_top_set_r) tptp.top_top_set_r)) (not (@ (@ (@ tptp.bij_betw_l_l Beta3) tptp.top_top_set_l) tptp.top_top_set_l)) (not (= S3 (@ (@ (@ tptp.r_G_r_l_v Alpha3) Beta3) S5)))))))) SB_DEFAULT SBA_FIXPOINT))) _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_172 _let_171) :args (_let_7 SB_DEFAULT SBA_FIXPOINT)) (CONG (CONG (REFL :args (tptp.s)) (MACRO_SR_PRED_INTRO :args ((= (lambda ((Z2 tptp.r)) (@ (@ (@ tptp.if_opt1153928738_r_l_v (= tptp.r2 Z2)) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v tptp.sigma) (@ (@ tptp.produc1834103605_r_l_v tptp.tau) (@ (@ tptp.plug_r_l_v tptp.e) (@ tptp.rfork_r_l_v tptp.e2)))))) (@ tptp.s Z2))) lambdaF_20))) :args _let_165) :args (not)))) :args (_let_170 true _let_169)))) (let ((_let_182 (forall ((Z2 tptp.r)) (= (@ (@ (@ tptp.if_opt1153928738_r_l_v (= tptp.r2 Z2)) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v tptp.sigma) (@ (@ tptp.produc1834103605_r_l_v tptp.tau) (@ (@ tptp.plug_r_l_v tptp.e) (@ tptp.rfork_r_l_v tptp.e2)))))) (@ tptp.s Z2)) (lambdaF_20 Z2))))) (let ((_let_183 ((forall ((Z2 tptp.r)) (= (lambdaF_20 Z2) (@ (lambda ((Z2 tptp.r)) (@ (@ (@ tptp.if_opt1153928738_r_l_v (= tptp.r2 Z2)) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v tptp.sigma) (@ (@ tptp.produc1834103605_r_l_v tptp.tau) (@ (@ tptp.plug_r_l_v tptp.e) (@ 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(-> tptp.l tptp.option_val_r_l_v)) (B tptp.produc1164766533_r_l_v) (A2 (-> tptp.l tptp.option_val_r_l_v)) (B2 tptp.produc1164766533_r_l_v)) (= (= (@ (@ tptp.produc297528454_r_l_v A) B) (@ (@ tptp.produc297528454_r_l_v A2) B2)) (and (= A A2) (= B B2)))) (forall ((A (-> tptp.l tptp.option_val_r_l_v)) (B tptp.expr_r_l_v) (A2 (-> tptp.l tptp.option_val_r_l_v)) (B2 tptp.expr_r_l_v)) (= (= (@ (@ tptp.produc1834103605_r_l_v A) B) (@ (@ tptp.produc1834103605_r_l_v A2) B2)) (and (= A A2) (= B B2)))) (forall ((X tptp.produc1156025366_r_l_v)) (not (forall ((Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E3 tptp.expr_r_l_v)) (not (= X (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) E3))))))) (forall ((P (-> tptp.produc1156025366_r_l_v Bool)) (A0 tptp.produc1156025366_r_l_v)) (=> (forall ((Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E3 tptp.expr_r_l_v)) (@ P (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) E3)))) (@ P A0))) (forall ((P (-> (-> tptp.r tptp.r) (-> tptp.l tptp.l) tptp.produc1156025366_r_l_v Bool)) (A0 (-> tptp.r tptp.r)) (A1 (-> tptp.l tptp.l)) (A22 tptp.produc1156025366_r_l_v)) (=> (forall ((Alpha (-> tptp.r tptp.r)) (Beta (-> tptp.l tptp.l)) (Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E3 tptp.expr_r_l_v)) (@ (@ (@ P Alpha) Beta) (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) E3)))) (@ (@ (@ P A0) A1) A22))) (forall ((M (-> tptp.r tptp.option1457017436_r_l_v)) (A tptp.r) (X tptp.produc1156025366_r_l_v) (N (-> tptp.r tptp.option1457017436_r_l_v)) (Y tptp.produc1156025366_r_l_v)) (=> (= (@ (@ (@ tptp.fun_up709272714_r_l_v M) A) (@ tptp.some_P1807977723_r_l_v X)) (@ (@ (@ tptp.fun_up709272714_r_l_v N) A) (@ tptp.some_P1807977723_r_l_v Y))) (= X Y))) (forall ((M (-> tptp.l tptp.option_val_r_l_v)) (A tptp.l) (X tptp.val_r_l_v) (N (-> tptp.l tptp.option_val_r_l_v)) (Y tptp.val_r_l_v)) (=> (= (@ (@ (@ tptp.fun_up1835647912_r_l_v M) A) (@ tptp.some_val_r_l_v X)) (@ (@ (@ tptp.fun_up1835647912_r_l_v N) A) (@ tptp.some_val_r_l_v Y))) (= X Y))) (forall ((X tptp.produc1394974636_r_l_v)) (not (forall ((Alpha (-> tptp.r tptp.r)) (Beta (-> tptp.l tptp.l)) (Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E3 tptp.expr_r_l_v)) (not (= X (@ (@ tptp.produc2111504612_r_l_v Alpha) (@ (@ tptp.produc2057232216_r_l_v Beta) (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) E3))))))))) (forall ((P (-> tptp.produc1394974636_r_l_v Bool)) (Prod tptp.produc1394974636_r_l_v)) (=> (forall ((A3 (-> tptp.r tptp.r)) (B3 tptp.produc1489027110_r_l_v)) (@ P (@ (@ tptp.produc2111504612_r_l_v A3) B3))) (@ P Prod))) (forall ((P (-> tptp.produc1489027110_r_l_v Bool)) (Prod tptp.produc1489027110_r_l_v)) (=> (forall ((A3 (-> tptp.l tptp.l)) (B3 tptp.produc1156025366_r_l_v)) (@ P (@ (@ tptp.produc2057232216_r_l_v A3) B3))) (@ P Prod))) (forall ((P (-> tptp.produc1156025366_r_l_v Bool)) (Prod tptp.produc1156025366_r_l_v)) (=> (forall ((A3 (-> tptp.l tptp.option_val_r_l_v)) (B3 tptp.produc1164766533_r_l_v)) (@ P (@ (@ tptp.produc297528454_r_l_v A3) B3))) (@ P Prod))) (forall ((P (-> tptp.produc1164766533_r_l_v Bool)) (Prod tptp.produc1164766533_r_l_v)) (=> (forall ((A3 (-> tptp.l tptp.option_val_r_l_v)) (B3 tptp.expr_r_l_v)) (@ P (@ (@ tptp.produc1834103605_r_l_v A3) B3))) (@ P Prod))) (forall ((Y tptp.produc1394974636_r_l_v)) (not (forall ((A3 (-> tptp.r tptp.r)) (B3 tptp.produc1489027110_r_l_v)) (not (= Y (@ (@ tptp.produc2111504612_r_l_v A3) B3)))))) (forall ((Y tptp.produc1489027110_r_l_v)) (not (forall ((A3 (-> tptp.l tptp.l)) (B3 tptp.produc1156025366_r_l_v)) (not (= Y (@ (@ tptp.produc2057232216_r_l_v A3) B3)))))) (forall ((Y tptp.produc1156025366_r_l_v)) (not (forall ((A3 (-> tptp.l tptp.option_val_r_l_v)) (B3 tptp.produc1164766533_r_l_v)) (not (= Y (@ (@ tptp.produc297528454_r_l_v A3) B3)))))) (forall ((Y tptp.produc1164766533_r_l_v)) (not (forall ((A3 (-> tptp.l tptp.option_val_r_l_v)) (B3 tptp.expr_r_l_v)) (not (= Y (@ (@ tptp.produc1834103605_r_l_v A3) B3)))))) (forall ((A (-> tptp.r tptp.r)) (B tptp.produc1489027110_r_l_v) (A2 (-> tptp.r tptp.r)) (B2 tptp.produc1489027110_r_l_v)) (=> (= (@ (@ tptp.produc2111504612_r_l_v A) B) (@ (@ tptp.produc2111504612_r_l_v A2) B2)) (not (=> (= A A2) (not (= B B2)))))) (forall ((A (-> tptp.l tptp.l)) (B tptp.produc1156025366_r_l_v) (A2 (-> tptp.l tptp.l)) (B2 tptp.produc1156025366_r_l_v)) (=> (= (@ (@ tptp.produc2057232216_r_l_v A) B) (@ (@ tptp.produc2057232216_r_l_v A2) B2)) (not (=> (= A A2) (not (= B B2)))))) (forall ((A (-> tptp.l tptp.option_val_r_l_v)) (B tptp.produc1164766533_r_l_v) (A2 (-> tptp.l tptp.option_val_r_l_v)) (B2 tptp.produc1164766533_r_l_v)) (=> (= (@ (@ tptp.produc297528454_r_l_v A) B) (@ (@ tptp.produc297528454_r_l_v A2) B2)) (not (=> (= A A2) (not (= B B2)))))) (forall ((A (-> tptp.l tptp.option_val_r_l_v)) (B tptp.expr_r_l_v) (A2 (-> tptp.l tptp.option_val_r_l_v)) (B2 tptp.expr_r_l_v)) (=> (= (@ (@ tptp.produc1834103605_r_l_v A) B) (@ (@ tptp.produc1834103605_r_l_v A2) B2)) (not (=> (= A A2) (not (= B B2)))))) (forall ((P (-> tptp.produc1394974636_r_l_v Bool)) (P2 tptp.produc1394974636_r_l_v)) (=> (forall ((A3 (-> tptp.r tptp.r)) (B3 tptp.produc1489027110_r_l_v)) (@ P (@ (@ tptp.produc2111504612_r_l_v A3) B3))) (@ P P2))) (forall ((P (-> tptp.produc1489027110_r_l_v Bool)) (P2 tptp.produc1489027110_r_l_v)) (=> (forall ((A3 (-> tptp.l tptp.l)) (B3 tptp.produc1156025366_r_l_v)) (@ P (@ (@ tptp.produc2057232216_r_l_v A3) B3))) (@ P P2))) (forall ((P (-> tptp.produc1156025366_r_l_v Bool)) (P2 tptp.produc1156025366_r_l_v)) (=> (forall ((A3 (-> tptp.l tptp.option_val_r_l_v)) (B3 tptp.produc1164766533_r_l_v)) (@ P (@ (@ tptp.produc297528454_r_l_v A3) B3))) (@ P P2))) (forall ((P (-> tptp.produc1164766533_r_l_v Bool)) (P2 tptp.produc1164766533_r_l_v)) (=> (forall ((A3 (-> tptp.l tptp.option_val_r_l_v)) (B3 tptp.expr_r_l_v)) (@ P (@ (@ tptp.produc1834103605_r_l_v A3) B3))) (@ P P2))) (forall ((P2 tptp.produc1394974636_r_l_v)) (exists ((X3 (-> tptp.r tptp.r)) (Y3 tptp.produc1489027110_r_l_v)) (= P2 (@ (@ tptp.produc2111504612_r_l_v X3) Y3)))) (forall ((P2 tptp.produc1489027110_r_l_v)) (exists ((X3 (-> tptp.l tptp.l)) (Y3 tptp.produc1156025366_r_l_v)) (= P2 (@ (@ tptp.produc2057232216_r_l_v X3) Y3)))) (forall ((P2 tptp.produc1156025366_r_l_v)) (exists ((X3 (-> tptp.l tptp.option_val_r_l_v)) (Y3 tptp.produc1164766533_r_l_v)) (= P2 (@ (@ tptp.produc297528454_r_l_v X3) Y3)))) (forall ((P2 tptp.produc1164766533_r_l_v)) (exists ((X3 (-> tptp.l tptp.option_val_r_l_v)) (Y3 tptp.expr_r_l_v)) (= P2 (@ (@ tptp.produc1834103605_r_l_v X3) Y3)))) (forall ((F (-> tptp.r tptp.option1457017436_r_l_v)) (X tptp.r) (Y tptp.option1457017436_r_l_v)) (= (= (@ (@ (@ tptp.fun_up709272714_r_l_v F) X) Y) F) (= (@ F X) Y))) (forall ((F (-> tptp.l tptp.option_val_r_l_v)) (X tptp.l) (Y tptp.option_val_r_l_v)) (= (= (@ (@ (@ tptp.fun_up1835647912_r_l_v F) X) Y) F) (= (@ F X) Y))) (forall ((A tptp.r) (C tptp.r) (M (-> tptp.r tptp.option1457017436_r_l_v)) (B tptp.option1457017436_r_l_v) (D tptp.option1457017436_r_l_v)) (let ((_let_1 (@ tptp.fun_up709272714_r_l_v M))) (=> (not (= A C)) (= (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ _let_1 A) B)) C) D) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ _let_1 C) D)) A) B))))) (forall ((A tptp.l) (C tptp.l) (M (-> tptp.l tptp.option_val_r_l_v)) (B tptp.option_val_r_l_v) (D tptp.option_val_r_l_v)) (let ((_let_1 (@ tptp.fun_up1835647912_r_l_v M))) (=> (not (= A C)) (= (@ (@ (@ tptp.fun_up1835647912_r_l_v (@ (@ _let_1 A) B)) C) D) (@ (@ (@ tptp.fun_up1835647912_r_l_v (@ (@ _let_1 C) D)) A) B))))) (forall ((Z tptp.r) (X tptp.r) (F (-> tptp.r tptp.option1457017436_r_l_v)) (Y tptp.option1457017436_r_l_v)) (=> (not (= Z X)) (= (@ (@ (@ (@ tptp.fun_up709272714_r_l_v F) X) Y) Z) (@ F Z)))) (forall ((Z tptp.l) (X tptp.l) (F (-> tptp.l tptp.option_val_r_l_v)) (Y tptp.option_val_r_l_v)) (=> (not (= Z X)) (= (@ (@ (@ (@ tptp.fun_up1835647912_r_l_v F) X) Y) Z) (@ F Z)))) _let_32 (forall ((F (-> tptp.l tptp.option_val_r_l_v)) (X tptp.l) (Y tptp.option_val_r_l_v)) (= (@ (@ (@ (@ tptp.fun_up1835647912_r_l_v F) X) Y) X) Y)) (forall ((F (-> tptp.r tptp.option1457017436_r_l_v)) (X tptp.r) (Y tptp.option1457017436_r_l_v)) (=> (= (@ F X) Y) (= (@ (@ (@ tptp.fun_up709272714_r_l_v F) X) Y) F))) (forall ((F (-> tptp.l tptp.option_val_r_l_v)) (X tptp.l) (Y tptp.option_val_r_l_v)) (=> (= (@ F X) Y) (= (@ (@ (@ tptp.fun_up1835647912_r_l_v F) X) Y) F))) (forall ((F (-> tptp.r tptp.option1457017436_r_l_v)) (X tptp.r) (Y tptp.option1457017436_r_l_v) (G (-> tptp.r tptp.option1457017436_r_l_v)) (Z tptp.option1457017436_r_l_v)) (=> (= (@ (@ (@ tptp.fun_up709272714_r_l_v F) X) Y) (@ (@ (@ tptp.fun_up709272714_r_l_v G) X) Z)) (= Y Z))) (forall ((F (-> tptp.l tptp.option_val_r_l_v)) (X tptp.l) (Y tptp.option_val_r_l_v) (G (-> tptp.l tptp.option_val_r_l_v)) (Z tptp.option_val_r_l_v)) (=> (= (@ (@ (@ tptp.fun_up1835647912_r_l_v F) X) Y) (@ (@ (@ tptp.fun_up1835647912_r_l_v G) X) Z)) (= Y Z))) (= tptp.fun_up709272714_r_l_v (lambda ((F2 (-> tptp.r tptp.option1457017436_r_l_v)) (A4 tptp.r) (B4 tptp.option1457017436_r_l_v) (X2 tptp.r)) (@ (@ (@ tptp.if_opt1153928738_r_l_v (= X2 A4)) B4) (@ F2 X2)))) (= tptp.fun_up1835647912_r_l_v (lambda ((F2 (-> tptp.l tptp.option_val_r_l_v)) (A4 tptp.l) (B4 tptp.option_val_r_l_v) (X2 tptp.l)) (@ (@ (@ tptp.if_option_val_r_l_v (= X2 A4)) B4) (@ F2 X2)))) (forall ((P (-> tptp.produc1394974636_r_l_v Bool)) (X tptp.produc1394974636_r_l_v)) (=> (forall ((A3 (-> tptp.r tptp.r)) (B3 (-> tptp.l tptp.l)) (C2 (-> tptp.l tptp.option_val_r_l_v)) (D2 (-> tptp.l tptp.option_val_r_l_v)) (E3 tptp.expr_r_l_v)) (@ P (@ (@ tptp.produc2111504612_r_l_v A3) (@ (@ tptp.produc2057232216_r_l_v B3) (@ (@ tptp.produc297528454_r_l_v C2) (@ (@ tptp.produc1834103605_r_l_v D2) E3)))))) (@ P X))) (forall ((P (-> tptp.produc1394974636_r_l_v Bool)) (X tptp.produc1394974636_r_l_v)) (=> (forall ((A3 (-> tptp.r tptp.r)) (B3 (-> tptp.l tptp.l)) (C2 (-> tptp.l tptp.option_val_r_l_v)) (D2 tptp.produc1164766533_r_l_v)) (@ P (@ (@ tptp.produc2111504612_r_l_v A3) (@ (@ tptp.produc2057232216_r_l_v B3) (@ (@ tptp.produc297528454_r_l_v C2) D2))))) (@ P X))) (forall ((P (-> tptp.produc1489027110_r_l_v Bool)) (X tptp.produc1489027110_r_l_v)) (=> (forall ((A3 (-> tptp.l tptp.l)) (B3 (-> tptp.l tptp.option_val_r_l_v)) (C2 (-> tptp.l tptp.option_val_r_l_v)) (D2 tptp.expr_r_l_v)) (@ P (@ (@ tptp.produc2057232216_r_l_v A3) (@ (@ tptp.produc297528454_r_l_v B3) (@ (@ tptp.produc1834103605_r_l_v C2) D2))))) (@ P X))) (forall ((P (-> tptp.produc1394974636_r_l_v Bool)) (X tptp.produc1394974636_r_l_v)) (=> (forall ((A3 (-> tptp.r tptp.r)) (B3 (-> tptp.l tptp.l)) (C2 tptp.produc1156025366_r_l_v)) (@ P (@ (@ tptp.produc2111504612_r_l_v A3) (@ (@ tptp.produc2057232216_r_l_v B3) C2)))) (@ P X))) (forall ((P (-> tptp.produc1489027110_r_l_v Bool)) (X tptp.produc1489027110_r_l_v)) (=> (forall ((A3 (-> tptp.l tptp.l)) (B3 (-> tptp.l tptp.option_val_r_l_v)) (C2 tptp.produc1164766533_r_l_v)) (@ P (@ (@ tptp.produc2057232216_r_l_v A3) (@ (@ tptp.produc297528454_r_l_v B3) C2)))) (@ P X))) (forall ((P (-> tptp.produc1156025366_r_l_v Bool)) (X tptp.produc1156025366_r_l_v)) (=> (forall ((A3 (-> tptp.l tptp.option_val_r_l_v)) (B3 (-> tptp.l tptp.option_val_r_l_v)) (C2 tptp.expr_r_l_v)) (@ P (@ (@ tptp.produc297528454_r_l_v A3) (@ (@ tptp.produc1834103605_r_l_v B3) C2)))) (@ P X))) (forall ((Y tptp.produc1394974636_r_l_v)) (not (forall ((A3 (-> tptp.r tptp.r)) (B3 (-> tptp.l tptp.l)) (C2 (-> tptp.l tptp.option_val_r_l_v)) (D2 (-> tptp.l tptp.option_val_r_l_v)) (E3 tptp.expr_r_l_v)) (not (= Y (@ (@ tptp.produc2111504612_r_l_v A3) (@ (@ tptp.produc2057232216_r_l_v B3) (@ (@ tptp.produc297528454_r_l_v C2) (@ (@ tptp.produc1834103605_r_l_v D2) E3))))))))) (forall ((Y tptp.produc1394974636_r_l_v)) (not (forall ((A3 (-> tptp.r tptp.r)) (B3 (-> tptp.l tptp.l)) (C2 (-> tptp.l tptp.option_val_r_l_v)) (D2 tptp.produc1164766533_r_l_v)) (not (= Y (@ (@ tptp.produc2111504612_r_l_v A3) (@ (@ tptp.produc2057232216_r_l_v B3) (@ (@ tptp.produc297528454_r_l_v C2) D2)))))))) (forall ((Y tptp.produc1489027110_r_l_v)) (not (forall ((A3 (-> tptp.l tptp.l)) (B3 (-> tptp.l tptp.option_val_r_l_v)) (C2 (-> tptp.l tptp.option_val_r_l_v)) (D2 tptp.expr_r_l_v)) (not (= Y (@ (@ tptp.produc2057232216_r_l_v A3) (@ (@ tptp.produc297528454_r_l_v B3) (@ (@ tptp.produc1834103605_r_l_v C2) D2)))))))) (forall ((Y tptp.produc1394974636_r_l_v)) (not (forall ((A3 (-> tptp.r tptp.r)) (B3 (-> tptp.l tptp.l)) (C2 tptp.produc1156025366_r_l_v)) (not (= Y (@ (@ tptp.produc2111504612_r_l_v A3) (@ (@ tptp.produc2057232216_r_l_v B3) C2))))))) (forall ((Y tptp.produc1489027110_r_l_v)) (not (forall ((A3 (-> tptp.l tptp.l)) (B3 (-> tptp.l tptp.option_val_r_l_v)) (C2 tptp.produc1164766533_r_l_v)) (not (= Y (@ (@ tptp.produc2057232216_r_l_v A3) (@ (@ tptp.produc297528454_r_l_v B3) C2))))))) (forall ((Y tptp.produc1156025366_r_l_v)) (not (forall ((A3 (-> tptp.l tptp.option_val_r_l_v)) (B3 (-> tptp.l tptp.option_val_r_l_v)) (C2 tptp.expr_r_l_v)) (not (= Y (@ (@ tptp.produc297528454_r_l_v A3) (@ (@ tptp.produc1834103605_r_l_v B3) C2))))))) (forall ((M (-> tptp.r tptp.option1457017436_r_l_v)) (A tptp.r) (B tptp.produc1156025366_r_l_v) (X tptp.r) (Y tptp.produc1156025366_r_l_v)) (let ((_let_1 (@ tptp.some_P1807977723_r_l_v Y))) (let ((_let_2 (= X A))) (= (= (@ (@ (@ (@ tptp.fun_up709272714_r_l_v M) A) (@ tptp.some_P1807977723_r_l_v B)) X) _let_1) (or (and _let_2 (= B Y)) (and (not _let_2) (= (@ M X) _let_1))))))) (forall ((M (-> tptp.l tptp.option_val_r_l_v)) (A tptp.l) (B tptp.val_r_l_v) (X tptp.l) (Y tptp.val_r_l_v)) (let ((_let_1 (@ tptp.some_val_r_l_v Y))) (let ((_let_2 (= X A))) (= (= (@ (@ (@ (@ tptp.fun_up1835647912_r_l_v M) A) (@ tptp.some_val_r_l_v B)) X) _let_1) (or (and _let_2 (= B Y)) (and (not _let_2) (= (@ M X) _let_1))))))) (forall ((T (-> tptp.r tptp.option1457017436_r_l_v)) (K tptp.r) (X tptp.produc1156025366_r_l_v)) (let ((_let_1 (@ tptp.some_P1807977723_r_l_v X))) (=> (= (@ T K) _let_1) (= (@ (@ (@ tptp.fun_up709272714_r_l_v T) K) _let_1) T)))) (forall ((T (-> tptp.l tptp.option_val_r_l_v)) (K tptp.l) (X tptp.val_r_l_v)) (let ((_let_1 (@ tptp.some_val_r_l_v X))) (=> (= (@ T K) _let_1) (= (@ (@ (@ tptp.fun_up1835647912_r_l_v T) K) _let_1) T)))) (forall ((Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E4 tptp.expr_r_l_v)) (= (@ tptp.lID_lo1265057957_l_r_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) E4))) Tau2)) (forall ((X tptp.produc1156025366_r_l_v) (Y (-> tptp.l tptp.option_val_r_l_v))) (=> (= (@ tptp.lID_lo1265057957_l_r_v X) Y) (not (forall ((Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v))) (=> (exists ((E3 tptp.expr_r_l_v)) (= X (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) E3)))) (not (= Y Tau))))))) (forall ((Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E4 tptp.expr_r_l_v)) (= (@ tptp.lID_expression_l_r_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) E4))) E4)) (forall ((X tptp.produc1156025366_r_l_v) (Y tptp.expr_r_l_v)) (=> (= (@ tptp.lID_expression_l_r_v X) Y) (not (forall ((Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E3 tptp.expr_r_l_v)) (=> (= X (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) E3))) (not (= Y E3))))))) (forall ((A tptp.set_l) (P (-> tptp.set_l Bool))) (= (@ (@ tptp.member_set_l A) (@ tptp.collect_set_l P)) (@ P A))) (forall ((A tptp.set_r) (P (-> tptp.set_r Bool))) (= (@ (@ tptp.member_set_r A) (@ tptp.collect_set_r P)) (@ P A))) (forall ((A tptp.r) (P (-> tptp.r Bool))) (= (@ (@ tptp.member_r A) (@ tptp.collect_r P)) (@ P A))) (forall ((A tptp.l) (P (-> tptp.l Bool))) (= (@ (@ tptp.member_l A) (@ tptp.collect_l P)) (@ P A))) (forall ((A5 tptp.set_set_l)) (= (@ tptp.collect_set_l (lambda ((X2 tptp.set_l)) (@ (@ tptp.member_set_l X2) A5))) A5)) (forall ((A5 tptp.set_set_r)) (= (@ tptp.collect_set_r (lambda ((X2 tptp.set_r)) (@ (@ tptp.member_set_r X2) A5))) A5)) (forall ((A5 tptp.set_r)) (= (@ tptp.collect_r (lambda ((X2 tptp.r)) (@ (@ tptp.member_r X2) A5))) A5)) (forall ((A5 tptp.set_l)) (= (@ tptp.collect_l (lambda ((X2 tptp.l)) (@ (@ tptp.member_l X2) A5))) A5)) (forall ((P (-> tptp.l Bool)) (Q (-> tptp.l Bool))) (=> (forall ((X3 tptp.l)) (= (@ P X3) (@ Q X3))) (= (@ tptp.collect_l P) (@ tptp.collect_l Q)))) (forall ((P (-> tptp.r Bool)) (Q (-> tptp.r Bool))) (=> (forall ((X3 tptp.r)) (= (@ P X3) (@ Q X3))) (= (@ tptp.collect_r P) (@ tptp.collect_r Q)))) (forall ((P (-> tptp.set_l Bool)) (Q (-> tptp.set_l Bool))) (=> (forall ((X3 tptp.set_l)) (= (@ P X3) (@ Q X3))) (= (@ tptp.collect_set_l P) (@ tptp.collect_set_l Q)))) (forall ((P (-> tptp.set_r Bool)) (Q (-> tptp.set_r Bool))) (=> (forall ((X3 tptp.set_r)) (= (@ P X3) (@ Q X3))) (= (@ tptp.collect_set_r P) (@ tptp.collect_set_r Q)))) (not (@ (@ tptp.member_r tptp.r3) (@ tptp.rID_G_r_l_v tptp.s))) (forall ((Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E4 tptp.expr_r_l_v)) (= (@ tptp.lID_snapshot_l_r_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) E4))) Sigma2)) (forall ((X tptp.produc1156025366_r_l_v) (Y (-> tptp.l tptp.option_val_r_l_v))) (=> (= (@ tptp.lID_snapshot_l_r_v X) Y) (not (forall ((Sigma (-> tptp.l tptp.option_val_r_l_v))) (=> (exists ((Tau (-> tptp.l tptp.option_val_r_l_v)) (E3 tptp.expr_r_l_v)) (= X (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) E3)))) (not (= Y Sigma))))))) _let_31 (forall ((X1 tptp.val_r_l_v) (Y1 tptp.val_r_l_v)) (= (= (@ tptp.vE_r_l_v X1) (@ tptp.vE_r_l_v Y1)) (= X1 Y1))) (forall ((X4 tptp.r) (Y4 tptp.r)) (= (= (@ tptp.rid_r_l_v X4) (@ tptp.rid_r_l_v Y4)) (= X4 Y4))) (forall ((X tptp.option1457017436_r_l_v)) (= (not (= X tptp.none_P277133687_r_l_v)) (exists ((Y2 tptp.produc1156025366_r_l_v)) (= X (@ tptp.some_P1807977723_r_l_v Y2))))) (forall ((X tptp.option_val_r_l_v)) (= (not (= X tptp.none_val_r_l_v)) (exists ((Y2 tptp.val_r_l_v)) (= X (@ tptp.some_val_r_l_v Y2))))) (forall ((X tptp.option1457017436_r_l_v)) (= (forall ((Y2 tptp.produc1156025366_r_l_v)) (not (= X (@ tptp.some_P1807977723_r_l_v Y2)))) (= X tptp.none_P277133687_r_l_v))) (forall ((X tptp.option_val_r_l_v)) (= (forall ((Y2 tptp.val_r_l_v)) (not (= X (@ tptp.some_val_r_l_v Y2)))) (= X tptp.none_val_r_l_v))) (forall ((X tptp.l)) (= (@ (@ (@ tptp.fun_up1835647912_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) X) tptp.none_val_r_l_v) (lambda ((X2 tptp.l)) tptp.none_val_r_l_v))) (forall ((X tptp.r)) (= (@ (@ (@ tptp.fun_up709272714_r_l_v (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v)) X) tptp.none_P277133687_r_l_v) (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v))) (forall ((X (-> tptp.l tptp.option_val_r_l_v)) (Xa (-> tptp.l tptp.option_val_r_l_v)) (Xb tptp.l) (Y tptp.option_val_r_l_v)) (let ((_let_1 (@ Xa Xb))) (let ((_let_2 (= _let_1 tptp.none_val_r_l_v))) (=> (= (@ (@ (@ tptp.combine_l_val_r_l_v X) Xa) Xb) Y) (and (=> _let_2 (= Y (@ X Xb))) (=> (not _let_2) (= Y _let_1))))))) _let_30 (forall ((X22 tptp.produc1156025366_r_l_v)) (not (= tptp.none_P277133687_r_l_v (@ tptp.some_P1807977723_r_l_v X22)))) (forall ((X22 tptp.val_r_l_v)) (not (= tptp.none_val_r_l_v (@ tptp.some_val_r_l_v X22)))) (forall ((Option tptp.option1457017436_r_l_v) (X22 tptp.produc1156025366_r_l_v)) (=> (= Option (@ tptp.some_P1807977723_r_l_v X22)) (not (= Option tptp.none_P277133687_r_l_v)))) (forall ((Option tptp.option_val_r_l_v) (X22 tptp.val_r_l_v)) (=> (= Option (@ tptp.some_val_r_l_v X22)) (not (= Option tptp.none_val_r_l_v)))) (forall ((Y tptp.option1457017436_r_l_v)) (=> (not (= Y tptp.none_P277133687_r_l_v)) (not (forall ((X23 tptp.produc1156025366_r_l_v)) (not (= Y (@ tptp.some_P1807977723_r_l_v X23))))))) (forall ((Y tptp.option_val_r_l_v)) (=> (not (= Y tptp.none_val_r_l_v)) (not (forall ((X23 tptp.val_r_l_v)) (not (= Y (@ tptp.some_val_r_l_v X23))))))) (forall ((P (-> tptp.option1457017436_r_l_v Bool)) (Option tptp.option1457017436_r_l_v)) (=> (@ P tptp.none_P277133687_r_l_v) (=> (forall ((X3 tptp.produc1156025366_r_l_v)) (@ P (@ tptp.some_P1807977723_r_l_v X3))) (@ P Option)))) (forall ((P (-> tptp.option_val_r_l_v Bool)) (Option tptp.option_val_r_l_v)) (=> (@ P tptp.none_val_r_l_v) (=> (forall ((X3 tptp.val_r_l_v)) (@ P (@ tptp.some_val_r_l_v X3))) (@ P Option)))) (= (lambda ((P3 (-> tptp.option1457017436_r_l_v Bool))) (exists ((X5 tptp.option1457017436_r_l_v)) (@ P3 X5))) (lambda ((P4 (-> tptp.option1457017436_r_l_v Bool))) (or (@ P4 tptp.none_P277133687_r_l_v) (exists ((X2 tptp.produc1156025366_r_l_v)) (@ P4 (@ tptp.some_P1807977723_r_l_v X2)))))) (= (lambda ((P3 (-> tptp.option_val_r_l_v Bool))) (exists ((X5 tptp.option_val_r_l_v)) (@ P3 X5))) (lambda ((P4 (-> tptp.option_val_r_l_v Bool))) (or (@ P4 tptp.none_val_r_l_v) (exists ((X2 tptp.val_r_l_v)) (@ P4 (@ tptp.some_val_r_l_v X2)))))) (= (lambda ((P3 (-> tptp.option1457017436_r_l_v Bool))) (forall ((X5 tptp.option1457017436_r_l_v)) (@ P3 X5))) (lambda ((P4 (-> tptp.option1457017436_r_l_v Bool))) (and (@ P4 tptp.none_P277133687_r_l_v) (forall ((X2 tptp.produc1156025366_r_l_v)) (@ P4 (@ tptp.some_P1807977723_r_l_v X2)))))) (= (lambda ((P3 (-> tptp.option_val_r_l_v Bool))) (forall ((X5 tptp.option_val_r_l_v)) (@ P3 X5))) (lambda ((P4 (-> tptp.option_val_r_l_v Bool))) (and (@ P4 tptp.none_val_r_l_v) (forall ((X2 tptp.val_r_l_v)) (@ P4 (@ tptp.some_val_r_l_v X2)))))) (forall ((X tptp.option1457017436_r_l_v) (P (-> tptp.option1457017436_r_l_v tptp.option1457017436_r_l_v Bool)) (Y tptp.option1457017436_r_l_v)) (let ((_let_1 (@ (@ P X) Y))) (=> (=> (= X tptp.none_P277133687_r_l_v) _let_1) (=> (=> (= Y tptp.none_P277133687_r_l_v) _let_1) (=> (forall ((A3 tptp.produc1156025366_r_l_v) (B3 tptp.produc1156025366_r_l_v)) (=> (= X (@ tptp.some_P1807977723_r_l_v A3)) (=> (= Y (@ tptp.some_P1807977723_r_l_v B3)) (@ (@ P X) Y)))) _let_1))))) (forall ((X tptp.option1457017436_r_l_v) (P (-> tptp.option1457017436_r_l_v tptp.option_val_r_l_v Bool)) (Y tptp.option_val_r_l_v)) (let ((_let_1 (@ (@ P X) Y))) (=> (=> (= X tptp.none_P277133687_r_l_v) _let_1) (=> (=> (= Y tptp.none_val_r_l_v) _let_1) (=> (forall ((A3 tptp.produc1156025366_r_l_v) (B3 tptp.val_r_l_v)) (=> (= X (@ tptp.some_P1807977723_r_l_v A3)) (=> (= Y (@ tptp.some_val_r_l_v B3)) (@ (@ P X) Y)))) _let_1))))) (forall ((X tptp.option_val_r_l_v) (P (-> tptp.option_val_r_l_v tptp.option1457017436_r_l_v Bool)) (Y tptp.option1457017436_r_l_v)) (let ((_let_1 (@ (@ P X) Y))) (=> (=> (= X tptp.none_val_r_l_v) _let_1) (=> (=> (= Y tptp.none_P277133687_r_l_v) _let_1) (=> (forall ((A3 tptp.val_r_l_v) (B3 tptp.produc1156025366_r_l_v)) (=> (= X (@ tptp.some_val_r_l_v A3)) (=> (= Y (@ tptp.some_P1807977723_r_l_v B3)) (@ (@ P X) Y)))) _let_1))))) (forall ((X tptp.option_val_r_l_v) (P (-> tptp.option_val_r_l_v tptp.option_val_r_l_v Bool)) (Y tptp.option_val_r_l_v)) (let ((_let_1 (@ (@ P X) Y))) (=> (=> (= X tptp.none_val_r_l_v) _let_1) (=> (=> (= Y tptp.none_val_r_l_v) _let_1) (=> (forall ((A3 tptp.val_r_l_v) (B3 tptp.val_r_l_v)) (=> (= X (@ tptp.some_val_r_l_v A3)) (=> (= Y (@ tptp.some_val_r_l_v B3)) (@ (@ P X) Y)))) _let_1))))) (forall ((X1 tptp.val_r_l_v) (X7 tptp.expr_r_l_v)) (not (= (@ tptp.vE_r_l_v X1) (@ tptp.rfork_r_l_v X7)))) (forall ((T (-> tptp.r tptp.option1457017436_r_l_v)) (K tptp.r) (X tptp.produc1156025366_r_l_v)) (not (= (@ (@ (@ tptp.fun_up709272714_r_l_v T) K) (@ tptp.some_P1807977723_r_l_v X)) (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v)))) (forall ((T (-> tptp.l tptp.option_val_r_l_v)) (K tptp.l) (X tptp.val_r_l_v)) (not (= (@ (@ (@ tptp.fun_up1835647912_r_l_v T) K) (@ tptp.some_val_r_l_v X)) (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)))) (forall ((X tptp.r) (X6 tptp.r) (F (-> tptp.r tptp.option1457017436_r_l_v)) (Y tptp.produc1156025366_r_l_v)) (let ((_let_1 (@ tptp.some_P1807977723_r_l_v Y))) (let ((_let_2 (@ tptp.fun_up709272714_r_l_v F))) (=> (not (= X X6)) (= (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ _let_2 X) _let_1)) X6) tptp.none_P277133687_r_l_v) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ _let_2 X6) tptp.none_P277133687_r_l_v)) X) _let_1)))))) (forall ((X tptp.l) (X6 tptp.l) (F (-> tptp.l tptp.option_val_r_l_v)) (Y tptp.val_r_l_v)) (let ((_let_1 (@ tptp.some_val_r_l_v Y))) (let ((_let_2 (@ tptp.fun_up1835647912_r_l_v F))) (=> (not (= X X6)) (= (@ (@ (@ tptp.fun_up1835647912_r_l_v (@ (@ _let_2 X) _let_1)) X6) tptp.none_val_r_l_v) (@ (@ (@ tptp.fun_up1835647912_r_l_v (@ (@ _let_2 X6) tptp.none_val_r_l_v)) X) _let_1)))))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (V tptp.produc1156025366_r_l_v)) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v V)) (@ (@ tptp.member_r R) (@ tptp.rID_G_r_l_v S)))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (E4 tptp.expr_r_l_v) (R2 tptp.r)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc1834103605_r_l_v Tau2))) (let ((_let_3 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.rfork_r_l_v E4)))))) (=> (not (@ (@ tptp.member_r R2) (@ tptp.rID_G_r_l_v S))) (@ (@ (@ (@ tptp.revisi1291188644_r_l_v tptp.subst) R) S) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) R2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v (@ (@ tptp.combine_l_val_r_l_v Sigma2) Tau2)) (@ (@ tptp.produc1834103605_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) E4))))))))))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (E4 tptp.expr_r_l_v) (R2 tptp.r)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc1834103605_r_l_v Tau2))) (let ((_let_3 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.rfork_r_l_v E4)))))) (=> (not (@ (@ tptp.member_r R2) (@ tptp.rID_G_r_l_v S))) (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) R2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v (@ (@ tptp.combine_l_val_r_l_v Sigma2) Tau2)) (@ (@ tptp.produc1834103605_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) E4))))))))))) (not (@ (@ tptp.member_r (@ tptp.alpha tptp.r3)) (@ tptp.rID_G_r_l_v (@ (@ (@ tptp.r_G_r_l_v tptp.alpha) tptp.beta) tptp.s)))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (E4 tptp.expr_r_l_v) (R2 tptp.r)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc1834103605_r_l_v Tau2))) (let ((_let_3 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.rfork_r_l_v E4)))))) (=> (not (@ (@ tptp.member_r R2) (@ tptp.rID_G_r_l_v S))) (@ (@ (@ (@ tptp.revisi1291188644_r_l_v Subst) R) S) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) R2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v (@ (@ tptp.combine_l_val_r_l_v Sigma2) Tau2)) (@ (@ tptp.produc1834103605_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) E4)))))))))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (E4 tptp.expr_r_l_v) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ (@ tptp.plug_r_l_v E) (@ tptp.rfork_r_l_v E4)))))) (= (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) S2) (exists ((R3 tptp.r)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc1834103605_r_l_v Tau2))) (let ((_let_3 (@ tptp.produc297528454_r_l_v Sigma2))) (let ((_let_4 (@ (@ tptp.fun_up709272714_r_l_v S) R))) (and (not (@ (@ tptp.member_r R3) (@ tptp.rID_G_r_l_v (@ _let_4 (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.rfork_r_l_v E4))))))))) (= S2 (@ (@ (@ tptp.fun_up709272714_r_l_v (@ _let_4 (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R3)))))))) R3) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v (@ (@ tptp.combine_l_val_r_l_v Sigma2) Tau2)) (@ (@ tptp.produc1834103605_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) E4))))))))))))))) (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) tptp.r2) tptp.s) tptp.s2) (@ tptp.substitution_r_l_v tptp.subst) (forall ((Alpha2 (-> tptp.r tptp.r)) (Beta2 (-> tptp.l tptp.l))) (= (@ (@ (@ tptp.r_G_r_l_v Alpha2) Beta2) (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v)) (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v))) (forall ((R2 tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r)) (let ((_let_1 (@ tptp.member_r R2))) (=> (@ _let_1 (@ tptp.rID_G_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) tptp.none_P277133687_r_l_v))) (@ _let_1 (@ tptp.rID_G_r_l_v S))))) (forall ((R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r)) (let ((_let_1 (@ tptp.member_r R2))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (=> (forall ((Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E5 tptp.cntxt_r_l_v) (E3 tptp.expr_r_l_v)) (not (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) (@ (@ tptp.plug_r_l_v E5) (@ tptp.rfork_r_l_v E3)))))))) (=> (not (@ _let_1 (@ tptp.rID_G_r_l_v S))) (not (@ _let_1 (@ tptp.rID_G_r_l_v S2)))))))) (forall ((R2 tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Ls tptp.produc1156025366_r_l_v)) (let ((_let_1 (@ (@ tptp.fun_up709272714_r_l_v S) R))) (let ((_let_2 (@ tptp.member_r R2))) (=> (@ _let_2 (@ tptp.rID_G_r_l_v (@ _let_1 tptp.none_P277133687_r_l_v))) (@ _let_2 (@ tptp.rID_G_r_l_v (@ _let_1 (@ tptp.some_P1807977723_r_l_v Ls)))))))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (E4 tptp.expr_r_l_v) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ (@ tptp.plug_r_l_v E) (@ tptp.rfork_r_l_v E4)))))) (= (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (exists ((R3 tptp.r)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc1834103605_r_l_v Tau2))) (let ((_let_3 (@ tptp.produc297528454_r_l_v Sigma2))) (let ((_let_4 (@ (@ tptp.fun_up709272714_r_l_v S) R))) (and (not (@ (@ tptp.member_r R3) (@ tptp.rID_G_r_l_v (@ _let_4 (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.rfork_r_l_v E4))))))))) (= S2 (@ (@ (@ tptp.fun_up709272714_r_l_v (@ _let_4 (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R3)))))))) R3) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v (@ (@ tptp.combine_l_val_r_l_v Sigma2) Tau2)) (@ (@ tptp.produc1834103605_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) E4)))))))))))))) (= tptp.revision_step_r_l_v tptp.revision_step_r_l_v) (= tptp.revisi1291188644_r_l_v tptp.revisi1291188644_r_l_v) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r)) (let ((_let_1 (@ tptp.member_r R2))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) S2) (=> (forall ((Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E5 tptp.cntxt_r_l_v) (E3 tptp.expr_r_l_v)) (not (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) (@ (@ tptp.plug_r_l_v E5) (@ tptp.rfork_r_l_v E3)))))))) (=> (not (@ _let_1 (@ tptp.rID_G_r_l_v S))) (not (@ _let_1 (@ tptp.rID_G_r_l_v S2))))))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (E4 tptp.expr_r_l_v) (R2 tptp.r)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc1834103605_r_l_v Tau2))) (let ((_let_3 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.rfork_r_l_v E4)))))) (=> (not (@ (@ tptp.member_r R2) (@ tptp.rID_G_r_l_v S))) (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) R2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v (@ (@ tptp.combine_l_val_r_l_v Sigma2) Tau2)) (@ (@ tptp.produc1834103605_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) E4)))))))))))) (forall ((S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (X tptp.produc1156025366_r_l_v) (S_22 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R4 tptp.r) (E4 tptp.expr_r_l_v)) (let ((_let_1 (@ tptp.some_P1807977723_r_l_v X))) (let ((_let_2 (@ tptp.produc297528454_r_l_v (@ (@ tptp.combine_l_val_r_l_v Sigma2) Tau2)))) (let ((_let_3 (@ tptp.plug_r_l_v E))) (let ((_let_4 (@ tptp.produc1834103605_r_l_v Tau2))) (let ((_let_5 (@ tptp.produc297528454_r_l_v Sigma2))) (let ((_let_6 (@ tptp.fun_up709272714_r_l_v S_1))) (let ((_let_7 (@ (@ tptp.fun_up709272714_r_l_v (@ (@ _let_6 R2) (@ tptp.some_P1807977723_r_l_v (@ _let_5 (@ _let_4 (@ _let_3 (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R4)))))))) R4))) (=> (= S_2 (@ (@ _let_6 R) _let_1)) (=> (= S_22 (@ _let_7 (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) E4))))) (=> (= (@ S_2 R2) (@ tptp.some_P1807977723_r_l_v (@ _let_5 (@ _let_4 (@ _let_3 (@ tptp.rfork_r_l_v E4)))))) (=> (not (@ (@ tptp.member_r R4) (@ tptp.rID_G_r_l_v S_2))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S_22) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ _let_7 (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) E4))))) R) _let_1)) (=> (not (= R R2)) (=> (not (= R R4)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v tptp.subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32)))))))))))))))))))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R2 tptp.r)) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ (@ tptp.plug_r_l_v E) (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) (=> (= (@ S R2) tptp.none_P277133687_r_l_v) (@ (@ (@ (@ tptp.revisi1291188644_r_l_v tptp.subst) R) S) (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v))))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R2 tptp.r)) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ (@ tptp.plug_r_l_v E) (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) (=> (= (@ S R2) tptp.none_P277133687_r_l_v) (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (X tptp.produc1156025366_r_l_v) (S_22 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R4 tptp.r) (E4 tptp.expr_r_l_v)) (let ((_let_1 (@ tptp.some_P1807977723_r_l_v X))) (let ((_let_2 (@ tptp.produc297528454_r_l_v (@ (@ tptp.combine_l_val_r_l_v Sigma2) Tau2)))) (let ((_let_3 (@ tptp.plug_r_l_v E))) (let ((_let_4 (@ tptp.produc1834103605_r_l_v Tau2))) (let ((_let_5 (@ tptp.produc297528454_r_l_v Sigma2))) (let ((_let_6 (@ tptp.fun_up709272714_r_l_v S_1))) (let ((_let_7 (@ (@ tptp.fun_up709272714_r_l_v (@ (@ _let_6 R2) (@ tptp.some_P1807977723_r_l_v (@ _let_5 (@ _let_4 (@ _let_3 (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R4)))))))) R4))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= S_2 (@ (@ _let_6 R) _let_1)) (=> (= S_22 (@ _let_7 (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) E4))))) (=> (= (@ S_2 R2) (@ tptp.some_P1807977723_r_l_v (@ _let_5 (@ _let_4 (@ _let_3 (@ tptp.rfork_r_l_v E4)))))) (=> (not (@ (@ tptp.member_r R4) (@ tptp.rID_G_r_l_v S_2))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S_22) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ _let_7 (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) E4))))) R) _let_1)) (=> (not (= R R2)) (=> (not (= R R4)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v Subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32))))))))))))))))))))) (forall ((S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (X tptp.produc1156025366_r_l_v) (S_22 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (Y tptp.produc1156025366_r_l_v)) (let ((_let_1 (@ tptp.some_P1807977723_r_l_v X))) (let ((_let_2 (@ tptp.some_P1807977723_r_l_v Y))) (let ((_let_3 (@ tptp.fun_up709272714_r_l_v S_1))) (let ((_let_4 (@ (@ _let_3 R2) _let_2))) (let ((_let_5 (@ tptp.revision_step_r_l_v tptp.subst))) (let ((_let_6 (@ (@ _let_3 R) _let_1))) (=> (= S_2 _let_6) (=> (= S_22 _let_4) (=> (@ (@ (@ _let_5 R2) _let_6) (@ (@ (@ tptp.fun_up709272714_r_l_v _let_6) R2) _let_2)) (=> (@ (@ (@ _let_5 R) _let_4) (@ (@ (@ tptp.fun_up709272714_r_l_v _let_4) R) _let_1)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v tptp.subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32)))))))))))))))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ tptp.reachable_r_l_v tptp.subst) S) (= (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (@ (@ (@ (@ tptp.revisi1291188644_r_l_v tptp.subst) R) S) S2)))) (forall ((R tptp.r) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S_1))) (=> (@ _let_1 S_2) (=> (@ _let_1 S_22) (@ (@ tptp.eq_states_r_l_v S_2) S_22))))) (forall ((R2 tptp.r) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (exists ((S_33 (-> tptp.r tptp.option1457017436_r_l_v)) (S_34 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v tptp.subst))) (and (@ (@ tptp.eq_states_r_l_v S_33) S_34) (or (@ (@ (@ _let_1 R2) S_2) S_33) (= S_2 S_33)) (or (@ (@ (@ _let_1 R) S_22) S_34) (= S_22 S_34))))) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v tptp.subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R) S_22) S_3) (= S_22 S_3)) (or (@ (@ (@ _let_1 R2) S_2) S_32) (= S_2 S_32))))))) (forall ((S_35 (-> tptp.r tptp.option1457017436_r_l_v)) (S_36 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v tptp.subst))) (let ((_let_2 (@ (@ (@ _let_1 R) S_22) S_36))) (let ((_let_3 (@ (@ (@ _let_1 R2) S_2) S_35))) (=> (= S_35 S_36) (=> _let_3 (=> _let_2 (and (@ (@ tptp.eq_states_r_l_v S_35) S_36) (or _let_3 (= S_2 S_35)) (or _let_2 (= S_22 S_36)))))))))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.reachable_r_l_v tptp.subst))) (=> (@ _let_1 S) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (@ _let_1 S2))))) (forall ((X8 tptp.expr_r_l_v) (Y8 tptp.expr_r_l_v)) (= (= (@ tptp.rjoin_r_l_v X8) (@ tptp.rjoin_r_l_v Y8)) (= X8 Y8))) (forall ((S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R4 tptp.r) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (= (@ S_1 R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ (@ tptp.plug_r_l_v E) (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R4)))))))) (=> (= S_2 (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v)) (=> (= (@ S_1 R4) tptp.none_P277133687_r_l_v) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R2) S_1) S_22) (=> (not (= R R2)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v tptp.subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32))))))))))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v))) (= (@ (@ tptp.reachable_r_l_v tptp.subst) S) (exists ((E6 tptp.expr_r_l_v) (S3 (-> tptp.r tptp.option1457017436_r_l_v))) (@ (@ (@ (@ tptp.execution_r_l_v tptp.subst) E6) S3) S)))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R2 tptp.r) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ (@ tptp.plug_r_l_v E) (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) (=> (= (@ S R2) tptp.none_P277133687_r_l_v) (= (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (= S2 (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v)))))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ tptp.eq_states_r_l_v S) S2) (@ (@ tptp.eq_states_r_l_v S2) S))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v))) (@ (@ tptp.eq_states_r_l_v S) S)) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v)) (S4 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.eq_states_r_l_v S))) (=> (@ _let_1 S2) (=> (@ (@ tptp.eq_states_r_l_v S2) S4) (@ _let_1 S4))))) (forall ((X1 tptp.val_r_l_v) (X8 tptp.expr_r_l_v)) (not (= (@ tptp.vE_r_l_v X1) (@ tptp.rjoin_r_l_v X8)))) (forall ((X7 tptp.expr_r_l_v) (X8 tptp.expr_r_l_v)) (not (= (@ tptp.rfork_r_l_v X7) (@ tptp.rjoin_r_l_v X8)))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (R tptp.r) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S_1))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ _let_1 S_2) (=> (@ _let_1 S_22) (@ (@ tptp.eq_states_r_l_v S_2) S_22)))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S_35 (-> tptp.r tptp.option1457017436_r_l_v)) (S_36 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v Subst))) (let ((_let_2 (@ (@ (@ _let_1 R) S_22) S_36))) (let ((_let_3 (@ (@ (@ _let_1 R2) S_2) S_35))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= S_35 S_36) (=> _let_3 (=> _let_2 (and (@ (@ tptp.eq_states_r_l_v S_35) S_36) (or _let_3 (= S_2 S_35)) (or _let_2 (= S_22 S_36))))))))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (R2 tptp.r) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (exists ((S_33 (-> tptp.r tptp.option1457017436_r_l_v)) (S_34 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v Subst))) (and (@ (@ tptp.eq_states_r_l_v S_33) S_34) (or (@ (@ (@ _let_1 R2) S_2) S_33) (= S_2 S_33)) (or (@ (@ (@ _let_1 R) S_22) S_34) (= S_22 S_34))))) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v Subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R) S_22) S_3) (= S_22 S_3)) (or (@ (@ (@ _let_1 R2) S_2) S_32) (= S_2 S_32)))))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R4 tptp.r) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S_1 R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ (@ tptp.plug_r_l_v E) (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R4)))))))) (=> (= S_2 (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v)) (=> (= (@ S_1 R4) tptp.none_P277133687_r_l_v) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R2) S_1) S_22) (=> (not (= R R2)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v Subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32)))))))))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (X tptp.produc1156025366_r_l_v) (S_22 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (Y tptp.produc1156025366_r_l_v)) (let ((_let_1 (@ tptp.some_P1807977723_r_l_v X))) (let ((_let_2 (@ tptp.some_P1807977723_r_l_v Y))) (let ((_let_3 (@ tptp.fun_up709272714_r_l_v S_1))) (let ((_let_4 (@ (@ _let_3 R2) _let_2))) (let ((_let_5 (@ tptp.revision_step_r_l_v Subst))) (let ((_let_6 (@ (@ _let_3 R) _let_1))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= S_2 _let_6) (=> (= S_22 _let_4) (=> (@ (@ (@ _let_5 R2) _let_6) (@ (@ (@ tptp.fun_up709272714_r_l_v _let_6) R2) _let_2)) (=> (@ (@ (@ _let_5 R) _let_4) (@ (@ (@ tptp.fun_up709272714_r_l_v _let_4) R) _let_1)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v Subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32))))))))))))))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R2 tptp.r) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ (@ tptp.plug_r_l_v E) (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) (=> (= (@ S R2) tptp.none_P277133687_r_l_v) (= (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) S2) (= S2 (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v))))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R2 tptp.r)) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ (@ tptp.plug_r_l_v E) (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) (=> (= (@ S R2) tptp.none_P277133687_r_l_v) (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v)))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R2 tptp.r)) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ (@ tptp.plug_r_l_v E) (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) (=> (= (@ S R2) tptp.none_P277133687_r_l_v) (@ (@ (@ (@ tptp.revisi1291188644_r_l_v Subst) R) S) (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v)))))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (P (-> (-> tptp.r tptp.option1457017436_r_l_v) Bool))) (=> (@ (@ tptp.reachable_r_l_v tptp.subst) S) (=> (@ (@ tptp.induct1670415253_r_l_v tptp.subst) P) (@ P S)))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ tptp.reachable_r_l_v tptp.subst) S) (@ tptp.domain1547879849_r_l_v S))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ tptp.reachable_r_l_v Subst) S) (= (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) S2) (@ (@ (@ (@ tptp.revisi1291188644_r_l_v Subst) R) S) S2))))) (forall ((S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (E4 tptp.expr_r_l_v) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (Left_forkee tptp.r) (R2 tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc1834103605_r_l_v Tau2))) (let ((_let_3 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (= (@ S_1 R) (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.rfork_r_l_v E4)))))) (=> (= S_2 (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S_1) R) (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v Left_forkee)))))))) Left_forkee) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v (@ (@ tptp.combine_l_val_r_l_v Sigma2) Tau2)) (@ (@ tptp.produc1834103605_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) E4))))) (=> (not (@ (@ tptp.member_r Left_forkee) (@ tptp.rID_G_r_l_v S_1))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R2) S_1) S_22) (=> (not (= R R2)) (=> (@ (@ tptp.reachable_r_l_v tptp.subst) S_1) (=> (not (@ tptp.finite_finite_r tptp.top_top_set_r)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v tptp.subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32)))))))))))))))) (forall ((S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (Tau3 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R4 tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (Ls tptp.produc1156025366_r_l_v) (Sigma3 (-> tptp.l tptp.option_val_r_l_v)) (V tptp.val_r_l_v)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (let ((_let_3 (@ tptp.some_P1807977723_r_l_v Ls))) (let ((_let_4 (@ tptp.fun_up709272714_r_l_v S_1))) (let ((_let_5 (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ _let_4 R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ tptp.combine_l_val_r_l_v Tau2) Tau3)) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.cV_r_l_v tptp.unit)))))))) R4) tptp.none_P277133687_r_l_v))) (=> (= S_2 _let_5) (=> (= S_22 (@ (@ _let_4 R2) _let_3)) (=> (not (= R R2)) (=> (not (= R2 R4)) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R2) S_2) (@ (@ (@ tptp.fun_up709272714_r_l_v _let_5) R2) _let_3)) (=> (= (@ S_22 R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R4)))))))) (=> (= (@ S_22 R4) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma3) (@ (@ tptp.produc1834103605_r_l_v Tau3) (@ tptp.vE_r_l_v V))))) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v tptp.subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32)))))))))))))))))) (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v))) (forall ((X1 tptp.const) (Y1 tptp.const)) (= (= (@ tptp.cV_r_l_v X1) (@ tptp.cV_r_l_v Y1)) (= X1 Y1))) (forall ((R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (=> (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v S)) (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v S2))))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ tptp.reachable_r_l_v tptp.subst) S) (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v S)))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ tptp.reachable_r_l_v tptp.subst) S) (=> (not (@ tptp.finite_finite_r tptp.top_top_set_r)) (exists ((R5 tptp.r)) (not (@ (@ tptp.member_r R5) (@ tptp.rID_G_r_l_v S))))))) (= (@ tptp.finite1036466630um_r_l tptp.top_to1855148309um_r_l) _let_28) (= (@ tptp.finite111936338um_l_r tptp.top_to1150555297um_l_r) _let_27) (= (@ tptp.finite1864485196um_l_l tptp.top_to1066565019um_l_l) _let_26) (= (@ tptp.finite555643486_set_r tptp.top_to555798885_set_r) _let_12) (= (@ tptp.finite160708696_set_l tptp.top_to471808607_set_l) _let_10) (= (@ tptp.finite16335230tion_r tptp.top_top_set_option_r) _let_11) (= (@ tptp.finite2114249848tion_l tptp.top_top_set_option_l) _let_9) _let_29 (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r)) (=> (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v S)) (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) tptp.none_P277133687_r_l_v))))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R2 tptp.r) (Sigma3 (-> tptp.l tptp.option_val_r_l_v)) (Tau3 (-> tptp.l tptp.option_val_r_l_v)) (V tptp.val_r_l_v)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) (=> (= (@ S R2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma3) (@ (@ tptp.produc1834103605_r_l_v Tau3) (@ tptp.vE_r_l_v V))))) (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ tptp.combine_l_val_r_l_v Tau2) Tau3)) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.cV_r_l_v tptp.unit)))))))) R2) tptp.none_P277133687_r_l_v))))))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R2 tptp.r) (Sigma3 (-> tptp.l tptp.option_val_r_l_v)) (Tau3 (-> tptp.l tptp.option_val_r_l_v)) (V tptp.val_r_l_v)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) (=> (= (@ S R2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma3) (@ (@ tptp.produc1834103605_r_l_v Tau3) (@ tptp.vE_r_l_v V))))) (@ (@ (@ (@ tptp.revisi1291188644_r_l_v tptp.subst) R) S) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ tptp.combine_l_val_r_l_v Tau2) Tau3)) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.cV_r_l_v tptp.unit)))))))) R2) tptp.none_P277133687_r_l_v))))))) (forall ((S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R4 tptp.r) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (Tau3 (-> tptp.l tptp.option_val_r_l_v)) (Sigma3 (-> tptp.l tptp.option_val_r_l_v)) (V tptp.val_r_l_v) (R2 tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (= (@ S_1 R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R4)))))))) (=> (= S_2 (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S_1) R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ tptp.combine_l_val_r_l_v Tau2) Tau3)) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.cV_r_l_v tptp.unit)))))))) R4) tptp.none_P277133687_r_l_v)) (=> (= (@ S_1 R4) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma3) (@ (@ tptp.produc1834103605_r_l_v Tau3) (@ tptp.vE_r_l_v V))))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R2) S_1) S_22) (=> (not (= R R2)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v tptp.subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32))))))))))))) (@ (@ (@ tptp.bij_betw_r_r tptp.alpha) tptp.top_top_set_r) tptp.top_top_set_r) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R2 tptp.r) (Sigma3 (-> tptp.l tptp.option_val_r_l_v)) (Tau3 (-> tptp.l tptp.option_val_r_l_v)) (V tptp.val_r_l_v) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) (=> (= (@ S R2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma3) (@ (@ tptp.produc1834103605_r_l_v Tau3) (@ tptp.vE_r_l_v V))))) (= (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (= S2 (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ tptp.combine_l_val_r_l_v Tau2) Tau3)) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.cV_r_l_v tptp.unit)))))))) R2) tptp.none_P277133687_r_l_v)))))))) (= tptp.execution_r_l_v tptp.execution_r_l_v) (= tptp.induct1670415253_r_l_v tptp.induct1670415253_r_l_v) (forall ((X1 tptp.const) (X4 tptp.r)) (not (= (@ tptp.cV_r_l_v X1) (@ tptp.rid_r_l_v X4)))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ tptp.reachable_r_l_v Subst) S) (=> (not (@ tptp.finite_finite_r tptp.top_top_set_r)) (exists ((R5 tptp.r)) (not (@ (@ tptp.member_r R5) (@ tptp.rID_G_r_l_v S)))))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (R tptp.r) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v Subst))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ (@ _let_1 R) S_1) S_2) (=> (@ (@ (@ _let_1 R2) S_1) S_22) (=> (@ (@ tptp.reachable_r_l_v Subst) S_1) (=> (not (@ tptp.finite_finite_l tptp.top_top_set_l)) (=> (not (@ tptp.finite_finite_r tptp.top_top_set_r)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v Subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32))))))))))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) S2) (=> (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v S)) (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v S2)))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ tptp.reachable_r_l_v Subst) S) (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v S))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ tptp.reachable_r_l_v Subst) S) (@ tptp.domain1547879849_r_l_v S)))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (P (-> (-> tptp.r tptp.option1457017436_r_l_v) Bool))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ tptp.reachable_r_l_v Subst) S) (=> (@ (@ tptp.induct1670415253_r_l_v Subst) P) (@ P S))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (= (@ (@ tptp.reachable_r_l_v Subst) S) (exists ((E6 tptp.expr_r_l_v) (S3 (-> tptp.r tptp.option1457017436_r_l_v))) (@ (@ (@ (@ tptp.execution_r_l_v Subst) E6) S3) S))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r)) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v S)) (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) tptp.none_P277133687_r_l_v)))))) (= tptp.reachable_r_l_v tptp.reachable_r_l_v) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R2 tptp.r) (Sigma3 (-> tptp.l tptp.option_val_r_l_v)) (Tau3 (-> tptp.l tptp.option_val_r_l_v)) (V tptp.val_r_l_v)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) (=> (= (@ S R2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma3) (@ (@ tptp.produc1834103605_r_l_v Tau3) (@ tptp.vE_r_l_v V))))) (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ tptp.combine_l_val_r_l_v Tau2) Tau3)) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.cV_r_l_v tptp.unit)))))))) R2) tptp.none_P277133687_r_l_v)))))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R2 tptp.r) (Sigma3 (-> tptp.l tptp.option_val_r_l_v)) (Tau3 (-> tptp.l tptp.option_val_r_l_v)) (V tptp.val_r_l_v) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) (=> (= (@ S R2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma3) (@ (@ tptp.produc1834103605_r_l_v Tau3) (@ tptp.vE_r_l_v V))))) (= (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) S2) (= S2 (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ tptp.combine_l_val_r_l_v Tau2) Tau3)) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.cV_r_l_v tptp.unit)))))))) R2) tptp.none_P277133687_r_l_v))))))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R2 tptp.r) (Sigma3 (-> tptp.l tptp.option_val_r_l_v)) (Tau3 (-> tptp.l tptp.option_val_r_l_v)) (V tptp.val_r_l_v)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R2)))))))) (=> (= (@ S R2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma3) (@ (@ tptp.produc1834103605_r_l_v Tau3) (@ tptp.vE_r_l_v V))))) (@ (@ (@ (@ tptp.revisi1291188644_r_l_v Subst) R) S) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ tptp.combine_l_val_r_l_v Tau2) Tau3)) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.cV_r_l_v tptp.unit)))))))) R2) tptp.none_P277133687_r_l_v)))))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (Tau3 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R4 tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (Ls tptp.produc1156025366_r_l_v) (Sigma3 (-> tptp.l tptp.option_val_r_l_v)) (V tptp.val_r_l_v)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (let ((_let_3 (@ tptp.some_P1807977723_r_l_v Ls))) (let ((_let_4 (@ tptp.fun_up709272714_r_l_v S_1))) (let ((_let_5 (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ _let_4 R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ tptp.combine_l_val_r_l_v Tau2) Tau3)) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.cV_r_l_v tptp.unit)))))))) R4) tptp.none_P277133687_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= S_2 _let_5) (=> (= S_22 (@ (@ _let_4 R2) _let_3)) (=> (not (= R R2)) (=> (not (= R2 R4)) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R2) S_2) (@ (@ (@ tptp.fun_up709272714_r_l_v _let_5) R2) _let_3)) (=> (= (@ S_22 R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R4)))))))) (=> (= (@ S_22 R4) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma3) (@ (@ tptp.produc1834103605_r_l_v Tau3) (@ tptp.vE_r_l_v V))))) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v Subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32))))))))))))))))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (R4 tptp.r) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (Tau3 (-> tptp.l tptp.option_val_r_l_v)) (Sigma3 (-> tptp.l tptp.option_val_r_l_v)) (V tptp.val_r_l_v) (R2 tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S_1 R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.rjoin_r_l_v (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v R4)))))))) (=> (= S_2 (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S_1) R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ tptp.combine_l_val_r_l_v Tau2) Tau3)) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.cV_r_l_v tptp.unit)))))))) R4) tptp.none_P277133687_r_l_v)) (=> (= (@ S_1 R4) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma3) (@ (@ tptp.produc1834103605_r_l_v Tau3) (@ tptp.vE_r_l_v V))))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R2) S_1) S_22) (=> (not (= R R2)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v Subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32)))))))))))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (E4 tptp.expr_r_l_v) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (Left_forkee tptp.r) (R2 tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc1834103605_r_l_v Tau2))) (let ((_let_3 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S_1 R) (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.rfork_r_l_v E4)))))) (=> (= S_2 (@ (@ (@ tptp.fun_up709272714_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S_1) R) (@ tptp.some_P1807977723_r_l_v (@ _let_3 (@ _let_2 (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.rid_r_l_v Left_forkee)))))))) Left_forkee) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v (@ (@ tptp.combine_l_val_r_l_v Sigma2) Tau2)) (@ (@ tptp.produc1834103605_r_l_v (lambda ((X2 tptp.l)) tptp.none_val_r_l_v)) E4))))) (=> (not (@ (@ tptp.member_r Left_forkee) (@ tptp.rID_G_r_l_v S_1))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R2) S_1) S_22) (=> (not (= R R2)) (=> (@ (@ tptp.reachable_r_l_v Subst) S_1) (=> (not (@ tptp.finite_finite_r tptp.top_top_set_r)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v Subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32))))))))))))))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.reachable_r_l_v Subst))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ _let_1 S) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) S2) (@ _let_1 S2)))))) (@ (@ tptp.induct1670415253_r_l_v tptp.subst) (lambda ((S5 (-> tptp.r tptp.option1457017436_r_l_v))) (and (@ tptp.domain1547879849_r_l_v S5) (@ tptp.subsum680764357_r_l_v S5)))) (forall ((R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (=> (@ tptp.domain1547879849_r_l_v S) (=> (@ tptp.subsum680764357_r_l_v S) (@ tptp.subsum680764357_r_l_v S2))))) (forall ((R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (=> (@ tptp.domain1547879849_r_l_v S) (=> (@ tptp.subsum680764357_r_l_v S) (@ tptp.domain1547879849_r_l_v S2))))) (forall ((P (-> tptp.sum_sum_r_l Bool))) (=> (@ tptp.finite65649782um_r_l (@ tptp.collect_Sum_sum_r_l P)) (= (@ tptp.finite65649782um_r_l (@ tptp.collect_Sum_sum_r_l (lambda ((X2 tptp.sum_sum_r_l)) (not (@ P X2))))) (@ tptp.finite65649782um_r_l tptp.top_to182927813um_r_l)))) (forall ((P (-> tptp.sum_sum_l_r Bool))) (=> (@ tptp.finite1591053314um_l_r (@ tptp.collect_Sum_sum_l_r P)) (= (@ tptp.finite1591053314um_l_r (@ tptp.collect_Sum_sum_l_r (lambda ((X2 tptp.sum_sum_l_r)) (not (@ P X2))))) (@ tptp.finite1591053314um_l_r tptp.top_to1405881169um_l_r)))) (forall ((P (-> tptp.sum_sum_l_l Bool))) (=> (@ tptp.finite1541484284um_l_l (@ tptp.collect_Sum_sum_l_l P)) (= (@ tptp.finite1541484284um_l_l (@ tptp.collect_Sum_sum_l_l (lambda ((X2 tptp.sum_sum_l_l)) (not (@ P X2))))) (@ tptp.finite1541484284um_l_l tptp.top_to1010946379um_l_l)))) (forall ((P (-> tptp.set_r Bool))) (=> (@ tptp.finite_finite_set_r (@ tptp.collect_set_r P)) (= (@ tptp.finite_finite_set_r (@ tptp.collect_set_r (lambda ((X2 tptp.set_r)) (not (@ P X2))))) (@ tptp.finite_finite_set_r tptp.top_top_set_set_r)))) (forall ((P (-> tptp.set_l Bool))) (=> (@ tptp.finite_finite_set_l (@ tptp.collect_set_l P)) (= (@ tptp.finite_finite_set_l (@ tptp.collect_set_l (lambda ((X2 tptp.set_l)) (not (@ P X2))))) (@ tptp.finite_finite_set_l tptp.top_top_set_set_l)))) (forall ((P (-> tptp.r Bool))) (=> (@ tptp.finite_finite_r (@ tptp.collect_r P)) (= (@ tptp.finite_finite_r (@ tptp.collect_r (lambda ((X2 tptp.r)) (not (@ P X2))))) (@ tptp.finite_finite_r tptp.top_top_set_r)))) (forall ((P (-> tptp.l Bool))) (=> (@ tptp.finite_finite_l (@ tptp.collect_l P)) (= (@ tptp.finite_finite_l (@ tptp.collect_l (lambda ((X2 tptp.l)) (not (@ P X2))))) (@ tptp.finite_finite_l tptp.top_top_set_l)))) (forall ((Alpha2 (-> tptp.r tptp.r)) (Beta2 (-> tptp.l tptp.l)) (R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ (@ tptp.bij_betw_r_r Alpha2) tptp.top_top_set_r) tptp.top_top_set_r) (=> (@ (@ (@ tptp.bij_betw_l_l Beta2) tptp.top_top_set_l) tptp.top_top_set_l) (= (@ (@ tptp.member_r (@ Alpha2 R)) (@ tptp.rID_G_r_l_v (@ (@ (@ tptp.r_G_r_l_v Alpha2) Beta2) S))) (@ (@ tptp.member_r R) (@ tptp.rID_G_r_l_v S)))))) (forall ((P (-> tptp.sum_sum_r_l Bool)) (Q (-> tptp.sum_sum_r_l Bool))) (=> (or (@ tptp.finite65649782um_r_l (@ tptp.collect_Sum_sum_r_l P)) (@ tptp.finite65649782um_r_l (@ tptp.collect_Sum_sum_r_l Q))) (@ tptp.finite65649782um_r_l (@ tptp.collect_Sum_sum_r_l (lambda ((X2 tptp.sum_sum_r_l)) (and (@ P X2) (@ Q X2))))))) (forall ((P (-> tptp.sum_sum_l_r Bool)) (Q (-> tptp.sum_sum_l_r Bool))) (=> (or (@ tptp.finite1591053314um_l_r (@ tptp.collect_Sum_sum_l_r P)) (@ tptp.finite1591053314um_l_r (@ tptp.collect_Sum_sum_l_r Q))) (@ tptp.finite1591053314um_l_r (@ tptp.collect_Sum_sum_l_r (lambda ((X2 tptp.sum_sum_l_r)) (and (@ P X2) (@ Q X2))))))) (forall ((P (-> tptp.sum_sum_l_l Bool)) (Q (-> tptp.sum_sum_l_l Bool))) (=> (or (@ tptp.finite1541484284um_l_l (@ tptp.collect_Sum_sum_l_l P)) (@ tptp.finite1541484284um_l_l (@ tptp.collect_Sum_sum_l_l Q))) (@ tptp.finite1541484284um_l_l (@ tptp.collect_Sum_sum_l_l (lambda ((X2 tptp.sum_sum_l_l)) (and (@ P X2) (@ Q X2))))))) (forall ((P (-> tptp.set_r Bool)) (Q (-> tptp.set_r Bool))) (=> (or (@ tptp.finite_finite_set_r (@ tptp.collect_set_r P)) (@ tptp.finite_finite_set_r (@ tptp.collect_set_r Q))) (@ tptp.finite_finite_set_r (@ tptp.collect_set_r (lambda ((X2 tptp.set_r)) (and (@ P X2) (@ Q X2))))))) (forall ((P (-> tptp.set_l Bool)) (Q (-> tptp.set_l Bool))) (=> (or (@ tptp.finite_finite_set_l (@ tptp.collect_set_l P)) (@ tptp.finite_finite_set_l (@ tptp.collect_set_l Q))) (@ tptp.finite_finite_set_l (@ tptp.collect_set_l (lambda ((X2 tptp.set_l)) (and (@ P X2) (@ Q X2))))))) (forall ((P (-> tptp.r Bool)) (Q (-> tptp.r Bool))) (=> (or (@ tptp.finite_finite_r (@ tptp.collect_r P)) (@ tptp.finite_finite_r (@ tptp.collect_r Q))) (@ tptp.finite_finite_r (@ tptp.collect_r (lambda ((X2 tptp.r)) (and (@ P X2) (@ Q X2))))))) (forall ((P (-> tptp.l Bool)) (Q (-> tptp.l Bool))) (=> (or (@ tptp.finite_finite_l (@ tptp.collect_l P)) (@ tptp.finite_finite_l (@ tptp.collect_l Q))) (@ tptp.finite_finite_l (@ tptp.collect_l (lambda ((X2 tptp.l)) (and (@ P X2) (@ Q X2))))))) (forall ((P (-> tptp.set_r Bool)) (Q (-> tptp.set_r Bool))) (= (@ tptp.finite_finite_set_r (@ tptp.collect_set_r (lambda ((X2 tptp.set_r)) (or (@ P X2) (@ Q X2))))) (and (@ tptp.finite_finite_set_r (@ tptp.collect_set_r P)) (@ tptp.finite_finite_set_r (@ tptp.collect_set_r Q))))) (forall ((P (-> tptp.set_l Bool)) (Q (-> tptp.set_l Bool))) (= (@ tptp.finite_finite_set_l (@ tptp.collect_set_l (lambda ((X2 tptp.set_l)) (or (@ P X2) (@ Q X2))))) (and (@ tptp.finite_finite_set_l (@ tptp.collect_set_l P)) (@ tptp.finite_finite_set_l (@ tptp.collect_set_l Q))))) (forall ((P (-> tptp.r Bool)) (Q (-> tptp.r Bool))) (= (@ tptp.finite_finite_r (@ tptp.collect_r (lambda ((X2 tptp.r)) (or (@ P X2) (@ Q X2))))) (and (@ tptp.finite_finite_r (@ tptp.collect_r P)) (@ tptp.finite_finite_r (@ tptp.collect_r Q))))) (forall ((P (-> tptp.l Bool)) (Q (-> tptp.l Bool))) (= (@ tptp.finite_finite_l (@ tptp.collect_l (lambda ((X2 tptp.l)) (or (@ P X2) (@ Q X2))))) (and (@ tptp.finite_finite_l (@ tptp.collect_l P)) (@ tptp.finite_finite_l (@ tptp.collect_l Q))))) (forall ((R tptp.r) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v tptp.subst))) (=> (@ (@ (@ _let_1 R) S_1) S_2) (=> (@ (@ (@ _let_1 R2) S_1) S_22) (=> (@ (@ tptp.reachable_r_l_v tptp.subst) S_1) (=> (not (@ tptp.finite_finite_l tptp.top_top_set_l)) (=> (not (@ tptp.finite_finite_r tptp.top_top_set_r)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v tptp.subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32)))))))))))) (= (@ tptp.finite115218812um_r_r tptp.top_to577862603um_r_r) _let_19) (= _let_28 _let_17) (= _let_27 _let_15) (= _let_26 _let_13) (forall ((Alpha2 (-> tptp.r tptp.r)) (Beta2 (-> tptp.l tptp.l)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (= (@ (@ (@ tptp.r_G_r_l_v Alpha2) Beta2) S) S2) (=> (@ (@ (@ tptp.bij_betw_r_r Alpha2) tptp.top_top_set_r) tptp.top_top_set_r) (=> (@ (@ (@ tptp.bij_betw_l_l Beta2) tptp.top_top_set_l) tptp.top_top_set_l) (@ (@ tptp.eq_states_r_l_v S) S2))))) (forall ((Alpha2 (-> tptp.r tptp.r)) (Beta2 (-> tptp.l tptp.l)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r)) (let ((_let_1 (@ (@ tptp.r_G_r_l_v Alpha2) Beta2))) (=> (@ (@ (@ tptp.bij_betw_r_r Alpha2) tptp.top_top_set_r) tptp.top_top_set_r) (= (@ _let_1 (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) tptp.none_P277133687_r_l_v)) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ _let_1 S)) (@ Alpha2 R)) tptp.none_P277133687_r_l_v))))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (forall ((R5 tptp.r) (Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E3 tptp.expr_r_l_v)) (let ((_let_1 (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) E3)))) (=> (= (@ S R5) (@ tptp.some_P1807977723_r_l_v _let_1)) (@ tptp.domain87684397_l_r_v _let_1)))) (@ tptp.domain1547879849_r_l_v S))) (@ (@ (@ tptp.bij_betw_l_l tptp.beta) tptp.top_top_set_l) tptp.top_top_set_l) (forall ((F (-> tptp.r tptp.r)) (A5 tptp.set_r) (B5 tptp.set_r)) (=> (@ (@ (@ tptp.bij_betw_r_r F) A5) B5) (= (@ tptp.finite_finite_r A5) (@ tptp.finite_finite_r B5)))) (forall ((F (-> tptp.r tptp.l)) (A5 tptp.set_r) (B5 tptp.set_l)) (=> (@ (@ (@ tptp.bij_betw_r_l F) A5) B5) (= (@ tptp.finite_finite_r A5) (@ tptp.finite_finite_l B5)))) (forall ((F (-> tptp.l tptp.r)) (A5 tptp.set_l) (B5 tptp.set_r)) (=> (@ (@ (@ tptp.bij_betw_l_r F) A5) B5) (= (@ tptp.finite_finite_l A5) (@ tptp.finite_finite_r B5)))) (forall ((F (-> tptp.l tptp.l)) (A5 tptp.set_l) (B5 tptp.set_l)) (=> (@ (@ (@ tptp.bij_betw_l_l F) A5) B5) (= (@ tptp.finite_finite_l A5) (@ tptp.finite_finite_l B5)))) (forall ((F (-> tptp.r tptp.r)) (Y tptp.r)) (=> (@ (@ (@ tptp.bij_betw_r_r F) tptp.top_top_set_r) tptp.top_top_set_r) (not (forall ((X3 tptp.r)) (=> (= Y (@ F X3)) (not (forall ((X9 tptp.r)) (=> (= Y (@ F X9)) (= X9 X3))))))))) (forall ((F (-> tptp.r tptp.l)) (Y tptp.l)) (=> (@ (@ (@ tptp.bij_betw_r_l F) tptp.top_top_set_r) tptp.top_top_set_l) (not (forall ((X3 tptp.r)) (=> (= Y (@ F X3)) (not (forall ((X9 tptp.r)) (=> (= Y (@ F X9)) (= X9 X3))))))))) (forall ((F (-> tptp.l tptp.r)) (Y tptp.r)) (=> (@ (@ (@ tptp.bij_betw_l_r F) tptp.top_top_set_l) tptp.top_top_set_r) (not (forall ((X3 tptp.l)) (=> (= Y (@ F X3)) (not (forall ((X9 tptp.l)) (=> (= Y (@ F X9)) (= X9 X3))))))))) (forall ((F (-> tptp.l tptp.l)) (Y tptp.l)) (=> (@ (@ (@ tptp.bij_betw_l_l F) tptp.top_top_set_l) tptp.top_top_set_l) (not (forall ((X3 tptp.l)) (=> (= Y (@ F X3)) (not (forall ((X9 tptp.l)) (=> (= Y (@ F X9)) (= X9 X3))))))))) (forall ((F (-> tptp.r tptp.r)) (A5 tptp.set_r) (B5 tptp.set_r)) (=> (@ (@ (@ tptp.bij_betw_r_r F) A5) B5) (forall ((X10 tptp.r)) (=> (@ (@ tptp.member_r X10) A5) (@ (@ tptp.member_r (@ F X10)) B5))))) (forall ((F (-> tptp.l tptp.l)) (A5 tptp.set_l) (B5 tptp.set_l)) (=> (@ (@ (@ tptp.bij_betw_l_l F) A5) B5) (forall ((X10 tptp.l)) (=> (@ (@ tptp.member_l X10) A5) (@ (@ tptp.member_l (@ F X10)) B5))))) (forall ((F (-> tptp.r tptp.r)) (A5 tptp.set_r) (B5 tptp.set_r)) (=> (@ (@ (@ tptp.bij_betw_r_r F) A5) B5) (exists ((G3 (-> tptp.r tptp.r))) (@ (@ (@ tptp.bij_betw_r_r G3) B5) A5)))) (forall ((F (-> tptp.l tptp.l)) (A5 tptp.set_l) (B5 tptp.set_l)) (=> (@ (@ (@ tptp.bij_betw_l_l F) A5) B5) (exists ((G3 (-> tptp.l tptp.l))) (@ (@ (@ tptp.bij_betw_l_l G3) B5) A5)))) (forall ((A5 tptp.set_r) (F (-> tptp.r tptp.r)) (G (-> tptp.r tptp.r)) (A6 tptp.set_r)) (=> (forall ((A3 tptp.r)) (=> (@ (@ tptp.member_r A3) A5) (= (@ F A3) (@ G A3)))) (= (@ (@ (@ tptp.bij_betw_r_r F) A5) A6) (@ (@ (@ tptp.bij_betw_r_r G) A5) A6)))) (forall ((A5 tptp.set_l) (F (-> tptp.l tptp.l)) (G (-> tptp.l tptp.l)) (A6 tptp.set_l)) (=> (forall ((A3 tptp.l)) (=> (@ (@ tptp.member_l A3) A5) (= (@ F A3) (@ G A3)))) (= (@ (@ (@ tptp.bij_betw_l_l F) A5) A6) (@ (@ (@ tptp.bij_betw_l_l G) A5) A6)))) (forall ((F (-> tptp.r tptp.l)) (A5 tptp.set_r) (B5 tptp.set_l) (A tptp.r)) (=> (@ (@ (@ tptp.bij_betw_r_l F) A5) B5) (=> (@ (@ tptp.member_r A) A5) (@ (@ tptp.member_l (@ F A)) B5)))) (forall ((F (-> tptp.l tptp.r)) (A5 tptp.set_l) (B5 tptp.set_r) (A tptp.l)) (=> (@ (@ (@ tptp.bij_betw_l_r F) A5) B5) (=> (@ (@ tptp.member_l A) A5) (@ (@ tptp.member_r (@ F A)) B5)))) (forall ((F (-> tptp.r tptp.r)) (A5 tptp.set_r) (B5 tptp.set_r) (A tptp.r)) (=> (@ (@ (@ tptp.bij_betw_r_r F) A5) B5) (=> (@ (@ tptp.member_r A) A5) (@ (@ tptp.member_r (@ F A)) B5)))) (forall ((F (-> tptp.l tptp.l)) (A5 tptp.set_l) (B5 tptp.set_l) (A tptp.l)) (=> (@ (@ (@ tptp.bij_betw_l_l F) A5) B5) (=> (@ (@ tptp.member_l A) A5) (@ (@ tptp.member_l (@ F A)) B5)))) _let_25 _let_24 _let_23 _let_22 (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ tptp.eq_states_r_l_v S) S2) (not (forall ((Alpha (-> tptp.r tptp.r)) (Beta (-> tptp.l tptp.l))) (=> (= (@ (@ (@ tptp.r_G_r_l_v Alpha) Beta) S) S2) (=> (@ (@ (@ tptp.bij_betw_r_r Alpha) tptp.top_top_set_r) tptp.top_top_set_r) (not (@ (@ (@ tptp.bij_betw_l_l Beta) tptp.top_top_set_l) tptp.top_top_set_l)))))))) _let_21 (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (Alpha2 (-> tptp.r tptp.r)) (Beta2 (-> tptp.l tptp.l)) (R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ (@ tptp.bij_betw_r_r Alpha2) tptp.top_top_set_r) tptp.top_top_set_r) (=> (@ (@ (@ tptp.bij_betw_l_l Beta2) tptp.top_top_set_l) tptp.top_top_set_l) (= (@ (@ tptp.member_r (@ Alpha2 R)) (@ tptp.rID_G_r_l_v (@ (@ (@ tptp.r_G_r_l_v Alpha2) Beta2) S))) (@ (@ tptp.member_r R) (@ tptp.rID_G_r_l_v S))))))) (forall ((P (-> tptp.r Bool))) (=> (not (@ tptp.finite_finite_r (@ tptp.collect_r P))) (exists ((X_1 tptp.r)) (@ P X_1)))) (forall ((P (-> tptp.l Bool))) (=> (not (@ tptp.finite_finite_l (@ tptp.collect_l P))) (exists ((X_1 tptp.l)) (@ P X_1)))) (forall ((A5 tptp.set_r) (B5 tptp.set_r) (R7 (-> tptp.r tptp.r Bool))) (=> (not (@ tptp.finite_finite_r A5)) (=> (@ tptp.finite_finite_r B5) (=> (forall ((X3 tptp.r)) (=> (@ (@ tptp.member_r X3) A5) (exists ((Xa2 tptp.r)) (and (@ (@ tptp.member_r Xa2) B5) (@ (@ R7 X3) Xa2))))) (exists ((X3 tptp.r)) (and (@ (@ tptp.member_r X3) B5) (not (@ tptp.finite_finite_r (@ tptp.collect_r (lambda ((A4 tptp.r)) (and (@ (@ tptp.member_r A4) A5) (@ (@ R7 A4) X3)))))))))))) (forall ((A5 tptp.set_r) (B5 tptp.set_l) (R7 (-> tptp.r tptp.l Bool))) (=> (not (@ tptp.finite_finite_r A5)) (=> (@ tptp.finite_finite_l B5) (=> (forall ((X3 tptp.r)) (=> (@ (@ tptp.member_r X3) A5) (exists ((Xa2 tptp.l)) (and (@ (@ tptp.member_l Xa2) B5) (@ (@ R7 X3) Xa2))))) (exists ((X3 tptp.l)) (and (@ (@ tptp.member_l X3) B5) (not (@ tptp.finite_finite_r (@ tptp.collect_r (lambda ((A4 tptp.r)) (and (@ (@ tptp.member_r A4) A5) (@ (@ R7 A4) X3)))))))))))) (forall ((A5 tptp.set_l) (B5 tptp.set_r) (R7 (-> tptp.l tptp.r Bool))) (=> (not (@ tptp.finite_finite_l A5)) (=> (@ tptp.finite_finite_r B5) (=> (forall ((X3 tptp.l)) (=> (@ (@ tptp.member_l X3) A5) (exists ((Xa2 tptp.r)) (and (@ (@ tptp.member_r Xa2) B5) (@ (@ R7 X3) Xa2))))) (exists ((X3 tptp.r)) (and (@ (@ tptp.member_r X3) B5) (not (@ tptp.finite_finite_l (@ tptp.collect_l (lambda ((A4 tptp.l)) (and (@ (@ tptp.member_l A4) A5) (@ (@ R7 A4) X3)))))))))))) (forall ((A5 tptp.set_l) (B5 tptp.set_l) (R7 (-> tptp.l tptp.l Bool))) (=> (not (@ tptp.finite_finite_l A5)) (=> (@ tptp.finite_finite_l B5) (=> (forall ((X3 tptp.l)) (=> (@ (@ tptp.member_l X3) A5) (exists ((Xa2 tptp.l)) (and (@ (@ tptp.member_l Xa2) B5) (@ (@ R7 X3) Xa2))))) (exists ((X3 tptp.l)) (and (@ (@ tptp.member_l X3) B5) (not (@ tptp.finite_finite_l (@ tptp.collect_l (lambda ((A4 tptp.l)) (and (@ (@ tptp.member_l A4) A5) (@ (@ R7 A4) X3)))))))))))) (=> _let_11 (=> _let_11 _let_20)) (=> _let_11 (=> _let_9 _let_18)) (=> _let_9 (=> _let_11 _let_16)) (=> _let_9 (=> _let_9 _let_14)) (forall ((A5 tptp.set_r)) (=> (not (@ tptp.finite_finite_r tptp.top_top_set_r)) (=> (@ tptp.finite_finite_r A5) (exists ((A3 tptp.r)) (not (@ (@ tptp.member_r A3) A5)))))) (forall ((A5 tptp.set_l)) (=> (not (@ tptp.finite_finite_l tptp.top_top_set_l)) (=> (@ tptp.finite_finite_l A5) (exists ((A3 tptp.l)) (not (@ (@ tptp.member_l A3) A5)))))) (= _let_20 _let_19) (= _let_18 _let_17) (= _let_16 _let_15) (= _let_14 _let_13) (= _let_12 _let_11) (= _let_10 _let_9) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) S2) (=> (@ tptp.domain1547879849_r_l_v S) (=> (@ tptp.subsum680764357_r_l_v S) (@ tptp.domain1547879849_r_l_v S2)))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) S2) (=> (@ tptp.domain1547879849_r_l_v S) (=> (@ tptp.subsum680764357_r_l_v S) (@ tptp.subsum680764357_r_l_v S2)))))) (forall ((F (-> tptp.r tptp.option1457017436_r_l_v)) (C tptp.option1457017436_r_l_v) (P (-> (-> tptp.r tptp.option1457017436_r_l_v) Bool))) (=> (@ tptp.finite_finite_r (@ tptp.collect_r (lambda ((A4 tptp.r)) (not (= (@ F A4) C))))) (=> (@ P (lambda ((A4 tptp.r)) C)) (=> (forall ((A3 tptp.r) (B3 tptp.option1457017436_r_l_v) (F3 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.finite_finite_r (@ tptp.collect_r (lambda ((C3 tptp.r)) (not (= (@ F3 C3) C))))) (=> (= (@ F3 A3) C) (=> (not (= B3 C)) (=> (@ P F3) (@ P (@ (@ (@ tptp.fun_up709272714_r_l_v F3) A3) B3))))))) (@ P F))))) (forall ((F (-> tptp.l tptp.option_val_r_l_v)) (C tptp.option_val_r_l_v) (P (-> (-> tptp.l tptp.option_val_r_l_v) Bool))) (=> (@ tptp.finite_finite_l (@ tptp.collect_l (lambda ((A4 tptp.l)) (not (= (@ F A4) C))))) (=> (@ P (lambda ((A4 tptp.l)) C)) (=> (forall ((A3 tptp.l) (B3 tptp.option_val_r_l_v) (F3 (-> tptp.l tptp.option_val_r_l_v))) (=> (@ tptp.finite_finite_l (@ tptp.collect_l (lambda ((C3 tptp.l)) (not (= (@ F3 C3) C))))) (=> (= (@ F3 A3) C) (=> (not (= B3 C)) (=> (@ P F3) (@ P (@ (@ (@ tptp.fun_up1835647912_r_l_v F3) A3) B3))))))) (@ P F))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (@ (@ tptp.induct1670415253_r_l_v Subst) (lambda ((S5 (-> tptp.r tptp.option1457017436_r_l_v))) (and (@ tptp.domain1547879849_r_l_v S5) (@ tptp.subsum680764357_r_l_v S5)))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (= (@ tptp.domain1547879849_r_l_v S) (forall ((R6 tptp.r) (Ls2 tptp.produc1156025366_r_l_v)) (=> (= (@ S R6) (@ tptp.some_P1807977723_r_l_v Ls2)) (@ tptp.domain87684397_l_r_v Ls2)))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (forall ((R5 tptp.r) (Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E3 tptp.expr_r_l_v)) (let ((_let_1 (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) E3)))) (=> (= (@ S R5) (@ tptp.some_P1807977723_r_l_v _let_1)) (@ tptp.domain87684397_l_r_v _let_1)))) (@ tptp.domain1547879849_r_l_v S)))) (forall ((Alpha2 (-> tptp.r tptp.r)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v)) (Beta2 (-> tptp.l tptp.l))) (=> (@ (@ (@ tptp.bij_betw_r_r Alpha2) tptp.top_top_set_r) tptp.top_top_set_r) (=> (forall ((R5 tptp.r)) (=> (= (@ S R5) tptp.none_P277133687_r_l_v) (= (@ S2 (@ Alpha2 R5)) tptp.none_P277133687_r_l_v))) (=> (forall ((R5 tptp.r) (Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E3 tptp.expr_r_l_v)) (let ((_let_1 (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) E3)))) (=> (= (@ S R5) (@ tptp.some_P1807977723_r_l_v _let_1)) (= (@ S2 (@ Alpha2 R5)) (@ tptp.some_P1807977723_r_l_v (@ (@ (@ tptp.r_L_r_l_v Alpha2) Beta2) _let_1)))))) (= (@ (@ (@ tptp.r_G_r_l_v Alpha2) Beta2) S) S2))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (forall ((R_1 tptp.r) (Sigma_1 (-> tptp.l tptp.option_val_r_l_v)) (Tau_1 (-> tptp.l tptp.option_val_r_l_v)) (E_1 tptp.expr_r_l_v) (R_2 tptp.r) (Sigma_2 (-> tptp.l tptp.option_val_r_l_v)) (Tau_2 (-> tptp.l tptp.option_val_r_l_v)) (E_2 tptp.expr_r_l_v)) (=> (= (@ S R_1) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma_1) (@ (@ tptp.produc1834103605_r_l_v Tau_1) E_1)))) (=> (= (@ S R_2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma_2) (@ (@ tptp.produc1834103605_r_l_v Tau_2) E_2)))) (@ (@ (@ tptp.subsum148050133_r_l_v R_1) R_2) S)))) (@ tptp.subsum680764357_r_l_v S)))) (forall ((Alpha2 (-> tptp.r tptp.r)) (Beta2 (-> tptp.l tptp.l)) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ (@ tptp.bij_betw_r_r Alpha2) tptp.top_top_set_r) tptp.top_top_set_r) (@ (@ (@ (@ tptp.is_glo1871033385_r_l_v Alpha2) Beta2) S) (@ (@ (@ tptp.r_G_r_l_v Alpha2) Beta2) S)))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (forall ((R_1 tptp.r) (Sigma_1 (-> tptp.l tptp.option_val_r_l_v)) (Tau_1 (-> tptp.l tptp.option_val_r_l_v)) (E_1 tptp.expr_r_l_v) (R_2 tptp.r) (Sigma_2 (-> tptp.l tptp.option_val_r_l_v)) (Tau_2 (-> tptp.l tptp.option_val_r_l_v)) (E_2 tptp.expr_r_l_v)) (=> (= (@ S R_1) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma_1) (@ (@ tptp.produc1834103605_r_l_v Tau_1) E_1)))) (=> (= (@ S R_2) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma_2) (@ (@ tptp.produc1834103605_r_l_v Tau_2) E_2)))) (@ (@ (@ tptp.subsum148050133_r_l_v R_1) R_2) S)))) (@ tptp.subsum680764357_r_l_v S))) (forall ((Alpha2 (-> tptp.r tptp.r)) (Beta2 (-> tptp.l tptp.l)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Ls tptp.produc1156025366_r_l_v)) (let ((_let_1 (@ (@ tptp.r_G_r_l_v Alpha2) Beta2))) (=> (@ (@ (@ tptp.bij_betw_r_r Alpha2) tptp.top_top_set_r) tptp.top_top_set_r) (= (@ _let_1 (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v Ls))) (@ (@ (@ tptp.fun_up709272714_r_l_v (@ _let_1 S)) (@ Alpha2 R)) (@ tptp.some_P1807977723_r_l_v (@ (@ (@ tptp.r_L_r_l_v Alpha2) Beta2) Ls))))))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (Ls tptp.produc1156025366_r_l_v) (R tptp.r)) (let ((_let_1 (@ tptp.member_r R))) (=> (= (@ S R2) (@ tptp.some_P1807977723_r_l_v Ls)) (=> (@ _let_1 (@ tptp.rID_L_l_r_v Ls)) (@ _let_1 (@ tptp.rID_G_r_l_v S)))))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (Ls tptp.produc1156025366_r_l_v) (R tptp.r)) (=> (= (@ S R2) (@ tptp.some_P1807977723_r_l_v Ls)) (=> (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) tptp.none_P277133687_r_l_v))) (=> (not (= R R2)) (@ tptp.finite_finite_r (@ tptp.rID_L_l_r_v Ls)))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (Ls tptp.produc1156025366_r_l_v) (R tptp.r)) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S R2) (@ tptp.some_P1807977723_r_l_v Ls)) (=> (@ tptp.finite_finite_r (@ tptp.rID_G_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) tptp.none_P277133687_r_l_v))) (=> (not (= R R2)) (@ tptp.finite_finite_r (@ tptp.rID_L_l_r_v Ls))))))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ tptp.reachable_r_l_v tptp.subst) S) (=> (not (@ tptp.finite_finite_l tptp.top_top_set_l)) (exists ((L tptp.l)) (not (@ (@ tptp.member_l L) (@ tptp.lID_G_r_l_v S))))))) (forall ((R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (=> (forall ((Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E5 tptp.cntxt_r_l_v) (E3 tptp.expr_r_l_v)) (not (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) (@ (@ tptp.plug_r_l_v E5) (@ tptp.rfork_r_l_v E3)))))))) (@ (@ tptp.ord_less_eq_set_r (@ tptp.rID_G_r_l_v S2)) (@ tptp.rID_G_r_l_v S))))) (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v))) (forall ((Alpha2 (-> tptp.r tptp.r)) (Beta2 (-> tptp.l tptp.l)) (L2 tptp.l) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ (@ tptp.bij_betw_r_r Alpha2) tptp.top_top_set_r) tptp.top_top_set_r) (=> (@ (@ (@ tptp.bij_betw_l_l Beta2) tptp.top_top_set_l) tptp.top_top_set_l) (= (@ (@ tptp.member_l (@ Beta2 L2)) (@ tptp.lID_G_r_l_v (@ (@ (@ tptp.r_G_r_l_v Alpha2) Beta2) S))) (@ (@ tptp.member_l L2) (@ tptp.lID_G_r_l_v S)))))) (forall ((R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (=> (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v S)) (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v S2))))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ tptp.reachable_r_l_v tptp.subst) S) (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v S)))) (forall ((L2 tptp.l) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r)) (let ((_let_1 (@ tptp.member_l L2))) (=> (@ _let_1 (@ tptp.lID_G_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) tptp.none_P277133687_r_l_v))) (@ _let_1 (@ tptp.lID_G_r_l_v S))))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Ls tptp.produc1156025366_r_l_v) (L2 tptp.l)) (let ((_let_1 (@ tptp.member_l L2))) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v Ls)) (=> (@ _let_1 (@ tptp.lID_L_l_r_v Ls)) (@ _let_1 (@ tptp.lID_G_r_l_v S)))))) (forall ((A5 tptp.set_r)) (=> (@ tptp.finite_finite_r A5) (@ tptp.finite_finite_set_r (@ tptp.collect_set_r (lambda ((B6 tptp.set_r)) (@ (@ tptp.ord_less_eq_set_r B6) A5)))))) (forall ((A5 tptp.set_l)) (=> (@ tptp.finite_finite_l A5) (@ tptp.finite_finite_set_l (@ tptp.collect_set_l (lambda ((B6 tptp.set_l)) (@ (@ tptp.ord_less_eq_set_l B6) A5)))))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r)) (=> (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v S)) (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) tptp.none_P277133687_r_l_v))))) (forall ((L2 tptp.l) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Ls tptp.produc1156025366_r_l_v)) (let ((_let_1 (@ (@ tptp.fun_up709272714_r_l_v S) R))) (let ((_let_2 (@ tptp.member_l L2))) (=> (@ _let_2 (@ tptp.lID_G_r_l_v (@ _let_1 tptp.none_P277133687_r_l_v))) (@ _let_2 (@ tptp.lID_G_r_l_v (@ _let_1 (@ tptp.some_P1807977723_r_l_v Ls)))))))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (Ls tptp.produc1156025366_r_l_v) (R tptp.r)) (=> (= (@ S R2) (@ tptp.some_P1807977723_r_l_v Ls)) (=> (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) tptp.none_P277133687_r_l_v))) (=> (not (= R R2)) (@ tptp.finite_finite_l (@ tptp.lID_L_l_r_v Ls)))))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r)) (@ (@ tptp.ord_less_eq_set_l (@ tptp.lID_G_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) tptp.none_P277133687_r_l_v))) (@ tptp.lID_G_r_l_v S))) (forall ((A5 tptp.set_set_r) (A tptp.set_r)) (=> (@ tptp.finite_finite_set_r A5) (=> (@ (@ tptp.member_set_r A) A5) (exists ((X3 tptp.set_r)) (and (@ (@ tptp.member_set_r X3) A5) (@ (@ tptp.ord_less_eq_set_r X3) A) (forall ((Xa2 tptp.set_r)) (=> (@ (@ tptp.member_set_r Xa2) A5) (=> (@ (@ tptp.ord_less_eq_set_r Xa2) X3) (= X3 Xa2))))))))) (forall ((A5 tptp.set_set_l) (A tptp.set_l)) (=> (@ tptp.finite_finite_set_l A5) (=> (@ (@ tptp.member_set_l A) A5) (exists ((X3 tptp.set_l)) (and (@ (@ tptp.member_set_l X3) A5) (@ (@ tptp.ord_less_eq_set_l X3) A) (forall ((Xa2 tptp.set_l)) (=> (@ (@ tptp.member_set_l Xa2) A5) (=> (@ (@ tptp.ord_less_eq_set_l Xa2) X3) (= X3 Xa2))))))))) (forall ((A5 tptp.set_set_r) (A tptp.set_r)) (=> (@ tptp.finite_finite_set_r A5) (=> (@ (@ tptp.member_set_r A) A5) (exists ((X3 tptp.set_r)) (and (@ (@ tptp.member_set_r X3) A5) (@ (@ tptp.ord_less_eq_set_r A) X3) (forall ((Xa2 tptp.set_r)) (=> (@ (@ tptp.member_set_r Xa2) A5) (=> (@ (@ tptp.ord_less_eq_set_r X3) Xa2) (= X3 Xa2))))))))) (forall ((A5 tptp.set_set_l) (A tptp.set_l)) (=> (@ tptp.finite_finite_set_l A5) (=> (@ (@ tptp.member_set_l A) A5) (exists ((X3 tptp.set_l)) (and (@ (@ tptp.member_set_l X3) A5) (@ (@ tptp.ord_less_eq_set_l A) X3) (forall ((Xa2 tptp.set_l)) (=> (@ (@ tptp.member_set_l Xa2) A5) (=> (@ (@ tptp.ord_less_eq_set_l X3) Xa2) (= X3 Xa2))))))))) (forall ((B5 tptp.set_r) (A5 tptp.set_r)) (=> (@ tptp.finite_finite_r B5) (=> (@ (@ tptp.ord_less_eq_set_r A5) B5) (@ tptp.finite_finite_r A5)))) (forall ((B5 tptp.set_l) (A5 tptp.set_l)) (=> (@ tptp.finite_finite_l B5) (=> (@ (@ tptp.ord_less_eq_set_l A5) B5) (@ tptp.finite_finite_l A5)))) (forall ((S6 tptp.set_r) (T2 tptp.set_r)) (=> (@ (@ tptp.ord_less_eq_set_r S6) T2) (=> (not (@ tptp.finite_finite_r S6)) (not (@ tptp.finite_finite_r T2))))) (forall ((S6 tptp.set_l) (T2 tptp.set_l)) (=> (@ (@ tptp.ord_less_eq_set_l S6) T2) (=> (not (@ tptp.finite_finite_l S6)) (not (@ tptp.finite_finite_l T2))))) (forall ((A5 tptp.set_r) (B5 tptp.set_r)) (=> (@ (@ tptp.ord_less_eq_set_r A5) B5) (=> (@ tptp.finite_finite_r B5) (@ tptp.finite_finite_r A5)))) (forall ((A5 tptp.set_l) (B5 tptp.set_l)) (=> (@ (@ tptp.ord_less_eq_set_l A5) B5) (=> (@ tptp.finite_finite_l B5) (@ tptp.finite_finite_l A5)))) (forall ((L2 tptp.l) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ tptp.member_l L2) (@ tptp.lID_G_r_l_v S)) (not (forall ((R5 tptp.r) (Ls3 tptp.produc1156025366_r_l_v)) (=> (= (@ S R5) (@ tptp.some_P1807977723_r_l_v Ls3)) (not (@ (@ tptp.member_l L2) (@ tptp.lID_L_l_r_v Ls3)))))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) S2) (=> (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v S)) (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v S2)))))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r)) (@ (@ tptp.ord_less_eq_set_r (@ tptp.rID_G_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) tptp.none_P277133687_r_l_v))) (@ tptp.rID_G_r_l_v S))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ tptp.reachable_r_l_v Subst) S) (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v S))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v (lambda ((X2 tptp.r)) tptp.none_P277133687_r_l_v))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ tptp.reachable_r_l_v Subst) S) (=> (not (@ tptp.finite_finite_l tptp.top_top_set_l)) (exists ((L tptp.l)) (not (@ (@ tptp.member_l L) (@ tptp.lID_G_r_l_v S)))))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r)) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v S)) (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) tptp.none_P277133687_r_l_v)))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (Alpha2 (-> tptp.r tptp.r)) (Beta2 (-> tptp.l tptp.l)) (L2 tptp.l) (S (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ (@ tptp.bij_betw_r_r Alpha2) tptp.top_top_set_r) tptp.top_top_set_r) (=> (@ (@ (@ tptp.bij_betw_l_l Beta2) tptp.top_top_set_l) tptp.top_top_set_l) (= (@ (@ tptp.member_l (@ Beta2 L2)) (@ tptp.lID_G_r_l_v (@ (@ (@ tptp.r_G_r_l_v Alpha2) Beta2) S))) (@ (@ tptp.member_l L2) (@ tptp.lID_G_r_l_v S))))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R2 tptp.r) (Ls tptp.produc1156025366_r_l_v) (R tptp.r)) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S R2) (@ tptp.some_P1807977723_r_l_v Ls)) (=> (@ tptp.finite_finite_l (@ tptp.lID_G_r_l_v (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) tptp.none_P277133687_r_l_v))) (=> (not (= R R2)) (@ tptp.finite_finite_l (@ tptp.lID_L_l_r_v Ls))))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) S2) (=> (forall ((Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E5 tptp.cntxt_r_l_v) (E3 tptp.expr_r_l_v)) (not (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) (@ (@ tptp.plug_r_l_v E5) (@ tptp.rfork_r_l_v E3)))))))) (@ (@ tptp.ord_less_eq_set_r (@ tptp.rID_G_r_l_v S2)) (@ tptp.rID_G_r_l_v S)))))) (forall ((R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v)) (L2 tptp.l)) (let ((_let_1 (@ tptp.member_l L2))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (=> (forall ((Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E5 tptp.cntxt_r_l_v) (V2 tptp.val_r_l_v)) (not (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) (@ (@ tptp.plug_r_l_v E5) (@ tptp.ref_r_l_v (@ tptp.vE_r_l_v V2))))))))) (=> (not (@ _let_1 (@ tptp.lID_G_r_l_v S))) (not (@ _let_1 (@ tptp.lID_G_r_l_v S2)))))))) (forall ((S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (V tptp.val_r_l_v) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (L2 tptp.l) (R2 tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (= (@ S_1 R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.ref_r_l_v (@ tptp.vE_r_l_v V))))))) (=> (= S_2 (@ (@ (@ tptp.fun_up709272714_r_l_v S_1) R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ (@ tptp.fun_up1835647912_r_l_v Tau2) L2) (@ tptp.some_val_r_l_v V))) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.loc_l_r_v L2)))))))) (=> (not (@ (@ tptp.member_l L2) (@ tptp.lID_G_r_l_v S_1))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R2) S_1) S_22) (=> (not (= R R2)) (=> (@ (@ tptp.reachable_r_l_v tptp.subst) S_1) (=> (not (@ tptp.finite_finite_l tptp.top_top_set_l)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v tptp.subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32))))))))))))))) (forall ((X32 tptp.l) (Y32 tptp.l)) (= (= (@ tptp.loc_l_r_v X32) (@ tptp.loc_l_r_v Y32)) (= X32 Y32))) (forall ((X4 tptp.expr_r_l_v) (Y4 tptp.expr_r_l_v)) (= (= (@ tptp.ref_r_l_v X4) (@ tptp.ref_r_l_v Y4)) (= X4 Y4))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (V tptp.val_r_l_v) (L2 tptp.l)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.ref_r_l_v (@ tptp.vE_r_l_v V))))))) (=> (not (@ (@ tptp.member_l L2) (@ tptp.lID_G_r_l_v S))) (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ (@ tptp.fun_up1835647912_r_l_v Tau2) L2) (@ tptp.some_val_r_l_v V))) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.loc_l_r_v L2))))))))))))) (forall ((R tptp.r) (S (-> tptp.r tptp.option1457017436_r_l_v)) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (=> (forall ((Sigma (-> tptp.l tptp.option_val_r_l_v)) (Tau (-> tptp.l tptp.option_val_r_l_v)) (E5 tptp.cntxt_r_l_v) (V2 tptp.val_r_l_v)) (not (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma) (@ (@ tptp.produc1834103605_r_l_v Tau) (@ (@ tptp.plug_r_l_v E5) (@ tptp.ref_r_l_v (@ tptp.vE_r_l_v V2))))))))) (@ (@ tptp.ord_less_eq_set_l (@ tptp.lID_G_r_l_v S2)) (@ tptp.lID_G_r_l_v S))))) (forall ((S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (V tptp.val_r_l_v) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ (@ tptp.plug_r_l_v E) (@ tptp.ref_r_l_v (@ tptp.vE_r_l_v V))))))) (= (@ (@ (@ (@ tptp.revision_step_r_l_v tptp.subst) R) S) S2) (exists ((L3 tptp.l)) (and (not (@ (@ tptp.member_l L3) (@ tptp.lID_G_r_l_v S))) (= S2 (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v (@ (@ (@ tptp.fun_up1835647912_r_l_v Tau2) L3) (@ tptp.some_val_r_l_v V))) (@ (@ tptp.plug_r_l_v E) (@ tptp.vE_r_l_v (@ tptp.loc_l_r_v L3))))))))))))) (forall ((X1 tptp.val_r_l_v) (X4 tptp.expr_r_l_v)) (not (= (@ tptp.vE_r_l_v X1) (@ tptp.ref_r_l_v X4)))) (forall ((X32 tptp.l) (X4 tptp.r)) (not (= (@ tptp.loc_l_r_v X32) (@ tptp.rid_r_l_v X4)))) (forall ((X4 tptp.expr_r_l_v) (X8 tptp.expr_r_l_v)) (not (= (@ tptp.ref_r_l_v X4) (@ tptp.rjoin_r_l_v X8)))) (forall ((X4 tptp.expr_r_l_v) (X7 tptp.expr_r_l_v)) (not (= (@ tptp.ref_r_l_v X4) (@ tptp.rfork_r_l_v X7)))) (forall ((X1 tptp.const) (X32 tptp.l)) (not (= (@ tptp.cV_r_l_v X1) (@ tptp.loc_l_r_v X32)))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (V tptp.val_r_l_v) (S2 (-> tptp.r tptp.option1457017436_r_l_v))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ (@ tptp.plug_r_l_v E) (@ tptp.ref_r_l_v (@ tptp.vE_r_l_v V))))))) (= (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) S2) (exists ((L3 tptp.l)) (and (not (@ (@ tptp.member_l L3) (@ tptp.lID_G_r_l_v S))) (= S2 (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ (@ tptp.produc297528454_r_l_v Sigma2) (@ (@ tptp.produc1834103605_r_l_v (@ (@ (@ tptp.fun_up1835647912_r_l_v Tau2) L3) (@ tptp.some_val_r_l_v V))) (@ (@ tptp.plug_r_l_v E) (@ tptp.vE_r_l_v (@ tptp.loc_l_r_v L3)))))))))))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (V tptp.val_r_l_v) (L2 tptp.l)) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.ref_r_l_v (@ tptp.vE_r_l_v V))))))) (=> (not (@ (@ tptp.member_l L2) (@ tptp.lID_G_r_l_v S))) (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R) S) (@ (@ (@ tptp.fun_up709272714_r_l_v S) R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ (@ tptp.fun_up1835647912_r_l_v Tau2) L2) (@ tptp.some_val_r_l_v V))) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.loc_l_r_v L2)))))))))))))) (forall ((Subst (-> tptp.expr_r_l_v tptp.v tptp.expr_r_l_v tptp.expr_r_l_v)) (S_1 (-> tptp.r tptp.option1457017436_r_l_v)) (R tptp.r) (Sigma2 (-> tptp.l tptp.option_val_r_l_v)) (Tau2 (-> tptp.l tptp.option_val_r_l_v)) (E tptp.cntxt_r_l_v) (V tptp.val_r_l_v) (S_2 (-> tptp.r tptp.option1457017436_r_l_v)) (L2 tptp.l) (R2 tptp.r) (S_22 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.plug_r_l_v E))) (let ((_let_2 (@ tptp.produc297528454_r_l_v Sigma2))) (=> (@ tptp.substitution_r_l_v Subst) (=> (= (@ S_1 R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v Tau2) (@ _let_1 (@ tptp.ref_r_l_v (@ tptp.vE_r_l_v V))))))) (=> (= S_2 (@ (@ (@ tptp.fun_up709272714_r_l_v S_1) R) (@ tptp.some_P1807977723_r_l_v (@ _let_2 (@ (@ tptp.produc1834103605_r_l_v (@ (@ (@ tptp.fun_up1835647912_r_l_v Tau2) L2) (@ tptp.some_val_r_l_v V))) (@ _let_1 (@ tptp.vE_r_l_v (@ tptp.loc_l_r_v L2)))))))) (=> (not (@ (@ tptp.member_l L2) (@ tptp.lID_G_r_l_v S_1))) (=> (@ (@ (@ (@ tptp.revision_step_r_l_v Subst) R2) S_1) S_22) (=> (not (= R R2)) (=> (@ (@ tptp.reachable_r_l_v Subst) S_1) (=> (not (@ tptp.finite_finite_l tptp.top_top_set_l)) (exists ((S_3 (-> tptp.r tptp.option1457017436_r_l_v)) (S_32 (-> tptp.r tptp.option1457017436_r_l_v))) (let ((_let_1 (@ tptp.revision_step_r_l_v Subst))) (and (@ (@ tptp.eq_states_r_l_v S_3) S_32) (or (@ (@ (@ _let_1 R2) S_2) S_3) (= S_2 S_3)) (or (@ (@ (@ _let_1 R) S_22) S_32) (= S_22 S_32)))))))))))))))) (forall ((X tptp.option_val_r_l_v) (Y tptp.option_val_r_l_v)) (= (@ (@ (@ tptp.if_option_val_r_l_v false) X) Y) Y)) (forall ((X tptp.option_val_r_l_v) (Y tptp.option_val_r_l_v)) (= (@ (@ (@ tptp.if_option_val_r_l_v true) X) Y) X)) (forall ((P Bool)) (or (= P true) (= P false))) _let_8 (forall ((X tptp.option1457017436_r_l_v) (Y tptp.option1457017436_r_l_v)) (= (@ (@ (@ tptp.if_opt1153928738_r_l_v true) X) Y) X)) _let_7 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 41.58/41.82 )
% 41.58/41.82 % SZS output end Proof for ITP047^1
% 41.58/41.82 % cvc5---1.0.5 exiting
% 41.58/41.83 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------