TSTP Solution File: ITP039^1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ITP039^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.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 03:17:41 EDT 2023
% Result : Theorem 0.57s 1.10s
% Output : Proof 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.19 % Problem : ITP039^1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.20 % Command : do_cvc5 %s %d
% 0.21/0.42 % Computer : n005.cluster.edu
% 0.21/0.42 % Model : x86_64 x86_64
% 0.21/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.42 % Memory : 8042.1875MB
% 0.21/0.42 % OS : Linux 3.10.0-693.el7.x86_64
% 0.21/0.42 % CPULimit : 300
% 0.21/0.42 % WCLimit : 300
% 0.21/0.42 % DateTime : Sun Aug 27 16:39:53 EDT 2023
% 0.21/0.42 % CPUTime :
% 0.28/0.65 %----Proving TH0
% 0.28/0.66 %------------------------------------------------------------------------------
% 0.28/0.66 % File : ITP039^1 : TPTP v8.1.2. Released v7.5.0.
% 0.28/0.66 % Domain : Interactive Theorem Proving
% 0.28/0.66 % Problem : Sledgehammer Coincidence problem prob_472__7214396_1
% 0.28/0.66 % Version : Especial.
% 0.28/0.66 % English :
% 0.28/0.66
% 0.28/0.66 % Refs : [BH+15] Blanchette et al. (2015), Mining the Archive of Formal
% 0.28/0.66 % : [Des21] Desharnais (2021), Email to Geoff Sutcliffe
% 0.28/0.66 % Source : [Des21]
% 0.28/0.66 % Names : Coincidence/prob_472__7214396_1 [Des21]
% 0.28/0.66
% 0.28/0.66 % Status : Theorem
% 0.28/0.66 % Rating : 0.23 v8.1.0, 0.18 v7.5.0
% 0.28/0.66 % Syntax : Number of formulae : 507 ( 165 unt; 152 typ; 0 def)
% 0.28/0.66 % Number of atoms : 782 ( 357 equ; 0 cnn)
% 0.28/0.66 % Maximal formula atoms : 13 ( 2 avg)
% 0.28/0.66 % Number of connectives : 3134 ( 150 ~; 0 |; 45 &;2594 @)
% 0.28/0.66 % ( 0 <=>; 345 =>; 0 <=; 0 <~>)
% 0.28/0.66 % Maximal formula depth : 33 ( 9 avg)
% 0.28/0.66 % Number of types : 27 ( 26 usr)
% 0.28/0.66 % Number of type conns : 754 ( 754 >; 0 *; 0 +; 0 <<)
% 0.28/0.66 % Number of symbols : 128 ( 126 usr; 5 con; 0-10 aty)
% 0.28/0.66 % Number of variables : 1586 ( 99 ^;1462 !; 25 ?;1586 :)
% 0.28/0.66 % SPC : TH0_THM_EQU_NAR
% 0.28/0.66
% 0.28/0.66 % Comments : This file was generated by Sledgehammer 2021-02-23 15:39:39.768
% 0.28/0.66 %------------------------------------------------------------------------------
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% 0.28/0.66 = ( ^ [Phi: formula_a_b_c] :
% 0.28/0.66 ! [Nu: produc190496183real_c,Nu2: produc190496183real_c,I: denota231621370t_unit,J: denota231621370t_unit] :
% 0.28/0.66 ( ( denota69106024_a_b_c @ I @ J @ ( static_SIGF_a_b_c @ Phi ) )
% 0.28/0.66 => ( ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVF_a_b_c @ Phi ) )
% 0.28/0.66 => ( ( member1895684704real_c @ Nu @ ( denota968303861_a_b_c @ I @ Phi ) )
% 0.28/0.66 = ( member1895684704real_c @ Nu2 @ ( denota968303861_a_b_c @ J @ Phi ) ) ) ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % coincide_fml_def
% 0.28/0.66 thf(fact_1_ids_Ocoincide__fml__def,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc,Phi2: formula_a_b_c] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( ( coinci501627771_a_b_c @ Phi2 )
% 0.28/0.66 = ( ! [Nu: produc190496183real_c,Nu2: produc190496183real_c,I: denota231621370t_unit,J: denota231621370t_unit] :
% 0.28/0.66 ( ( denota69106024_a_b_c @ I @ J @ ( static_SIGF_a_b_c @ Phi2 ) )
% 0.28/0.66 => ( ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVF_a_b_c @ Phi2 ) )
% 0.28/0.66 => ( ( member1895684704real_c @ Nu @ ( denota968303861_a_b_c @ I @ Phi2 ) )
% 0.28/0.66 = ( member1895684704real_c @ Nu2 @ ( denota968303861_a_b_c @ J @ Phi2 ) ) ) ) ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.coincide_fml_def
% 0.28/0.66 thf(fact_2_Iagree__comm,axiom,
% 0.28/0.66 ! [A: denota231621370t_unit,B: denota231621370t_unit,V: set_Su1783761653um_b_c] :
% 0.28/0.66 ( ( denota69106024_a_b_c @ A @ B @ V )
% 0.28/0.66 => ( denota69106024_a_b_c @ B @ A @ V ) ) ).
% 0.28/0.66
% 0.28/0.66 % Iagree_comm
% 0.28/0.66 thf(fact_3_Iagree__refl,axiom,
% 0.28/0.66 ! [I2: denota231621370t_unit,A: set_Su1783761653um_b_c] : ( denota69106024_a_b_c @ I2 @ I2 @ A ) ).
% 0.28/0.66
% 0.28/0.66 % Iagree_refl
% 0.28/0.66 thf(fact_4_agree__comm,axiom,
% 0.28/0.66 ! [A: produc190496183real_c,B: produc190496183real_c,V: set_Sum_sum_c_c] :
% 0.28/0.66 ( ( denota1997846518gree_c @ A @ B @ V )
% 0.28/0.66 => ( denota1997846518gree_c @ B @ A @ V ) ) ).
% 0.28/0.66
% 0.28/0.66 % agree_comm
% 0.28/0.66 thf(fact_5_agree__refl,axiom,
% 0.28/0.66 ! [Nu3: produc190496183real_c,A: set_Sum_sum_c_c] : ( denota1997846518gree_c @ Nu3 @ Nu3 @ A ) ).
% 0.28/0.66
% 0.28/0.66 % agree_refl
% 0.28/0.66 thf(fact_6_iff__to__impl,axiom,
% 0.28/0.66 ! [Nu3: produc190496183real_c,I2: denota231621370t_unit,A: formula_a_b_c,B: formula_a_b_c] :
% 0.28/0.66 ( ( ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I2 @ A ) )
% 0.28/0.66 = ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I2 @ B ) ) )
% 0.28/0.66 = ( ( ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I2 @ A ) )
% 0.28/0.66 => ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I2 @ B ) ) )
% 0.28/0.66 & ( ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I2 @ B ) )
% 0.28/0.66 => ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I2 @ A ) ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % iff_to_impl
% 0.28/0.66 thf(fact_7_iff__sem,axiom,
% 0.28/0.66 ! [Nu3: produc190496183real_c,I2: denota231621370t_unit,A: formula_a_b_c,B: formula_a_b_c] :
% 0.28/0.66 ( ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I2 @ ( equiv_a_b_c @ A @ B ) ) )
% 0.28/0.66 = ( ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I2 @ A ) )
% 0.28/0.66 = ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I2 @ B ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % iff_sem
% 0.28/0.66 thf(fact_8_impl__sem,axiom,
% 0.28/0.66 ! [Nu3: produc190496183real_c,I2: denota231621370t_unit,A: formula_a_b_c,B: formula_a_b_c] :
% 0.28/0.66 ( ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I2 @ ( implies_a_b_c @ A @ B ) ) )
% 0.28/0.66 = ( ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I2 @ A ) )
% 0.28/0.66 => ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I2 @ B ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % impl_sem
% 0.28/0.66 thf(fact_9_P__def,axiom,
% 0.28/0.66 p_sc_sf_sz = predic913887884_sf_sz ).
% 0.28/0.66
% 0.28/0.66 % P_def
% 0.28/0.66 thf(fact_10_seq__sem_Ocases,axiom,
% 0.28/0.66 ! [X: produc1821101996_sc_sz] :
% 0.28/0.66 ~ ! [I3: denota610675952t_unit,S: produc866628903_sc_sz] :
% 0.28/0.66 ( X
% 0.28/0.66 != ( produc789536734_sc_sz @ I3 @ S ) ) ).
% 0.28/0.66
% 0.28/0.66 % seq_sem.cases
% 0.28/0.66 thf(fact_11_ids_Oseq__sem_Ocases,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc,X: produc1821101996_sc_sz] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ~ ! [I3: denota610675952t_unit,S: produc866628903_sc_sz] :
% 0.28/0.66 ( X
% 0.28/0.66 != ( produc789536734_sc_sz @ I3 @ S ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.seq_sem.cases
% 0.28/0.66 thf(fact_12_ids_Oseq__sem_Oinduct,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc,P: denota610675952t_unit > produc866628903_sc_sz > $o,A0: denota610675952t_unit,A1: produc866628903_sc_sz] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( ! [I3: denota610675952t_unit,X_1: produc866628903_sc_sz] : ( P @ I3 @ X_1 )
% 0.28/0.66 => ( P @ A0 @ A1 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.seq_sem.induct
% 0.28/0.66 thf(fact_13_ids_OP__def,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc,P2: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( ( p_sc_sf_sz @ P2 )
% 0.28/0.66 = ( predic913887884_sf_sz @ P2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.P_def
% 0.28/0.66 thf(fact_14_prod_Oinject,axiom,
% 0.28/0.66 ! [X1: list_f1238882004_sc_sz,X2: list_f1238882004_sc_sz,Y1: list_f1238882004_sc_sz,Y2: list_f1238882004_sc_sz] :
% 0.28/0.66 ( ( ( produc1822718231_sc_sz @ X1 @ X2 )
% 0.28/0.66 = ( produc1822718231_sc_sz @ Y1 @ Y2 ) )
% 0.28/0.66 = ( ( X1 = Y1 )
% 0.28/0.66 & ( X2 = Y2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % prod.inject
% 0.28/0.66 thf(fact_15_prod_Oinject,axiom,
% 0.28/0.66 ! [X1: finite1398487019real_c,X2: finite1398487019real_c,Y1: finite1398487019real_c,Y2: finite1398487019real_c] :
% 0.28/0.66 ( ( ( produc394644079real_c @ X1 @ X2 )
% 0.28/0.66 = ( produc394644079real_c @ Y1 @ Y2 ) )
% 0.28/0.66 = ( ( X1 = Y1 )
% 0.28/0.66 & ( X2 = Y2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % prod.inject
% 0.28/0.66 thf(fact_16_prod_Oinject,axiom,
% 0.28/0.66 ! [X1: produc866628903_sc_sz,X2: denota610675952t_unit,Y1: produc866628903_sc_sz,Y2: denota610675952t_unit] :
% 0.28/0.66 ( ( ( produc502616768t_unit @ X1 @ X2 )
% 0.28/0.66 = ( produc502616768t_unit @ Y1 @ Y2 ) )
% 0.28/0.66 = ( ( X1 = Y1 )
% 0.28/0.66 & ( X2 = Y2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % prod.inject
% 0.28/0.66 thf(fact_17_prod_Oinject,axiom,
% 0.28/0.66 ! [X1: produc190496183real_c,X2: produc190496183real_c,Y1: produc190496183real_c,Y2: produc190496183real_c] :
% 0.28/0.66 ( ( ( produc1687028567real_c @ X1 @ X2 )
% 0.28/0.66 = ( produc1687028567real_c @ Y1 @ Y2 ) )
% 0.28/0.66 = ( ( X1 = Y1 )
% 0.28/0.66 & ( X2 = Y2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % prod.inject
% 0.28/0.66 thf(fact_18_prod_Oinject,axiom,
% 0.28/0.66 ! [X1: denota610675952t_unit,X2: produc866628903_sc_sz,Y1: denota610675952t_unit,Y2: produc866628903_sc_sz] :
% 0.28/0.66 ( ( ( produc789536734_sc_sz @ X1 @ X2 )
% 0.28/0.66 = ( produc789536734_sc_sz @ Y1 @ Y2 ) )
% 0.28/0.66 = ( ( X1 = Y1 )
% 0.28/0.66 & ( X2 = Y2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % prod.inject
% 0.28/0.66 thf(fact_19_old_Oprod_Oinject,axiom,
% 0.28/0.66 ! [A2: list_f1238882004_sc_sz,B2: list_f1238882004_sc_sz,A3: list_f1238882004_sc_sz,B3: list_f1238882004_sc_sz] :
% 0.28/0.66 ( ( ( produc1822718231_sc_sz @ A2 @ B2 )
% 0.28/0.66 = ( produc1822718231_sc_sz @ A3 @ B3 ) )
% 0.28/0.66 = ( ( A2 = A3 )
% 0.28/0.66 & ( B2 = B3 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % old.prod.inject
% 0.28/0.66 thf(fact_20_old_Oprod_Oinject,axiom,
% 0.28/0.66 ! [A2: finite1398487019real_c,B2: finite1398487019real_c,A3: finite1398487019real_c,B3: finite1398487019real_c] :
% 0.28/0.66 ( ( ( produc394644079real_c @ A2 @ B2 )
% 0.28/0.66 = ( produc394644079real_c @ A3 @ B3 ) )
% 0.28/0.66 = ( ( A2 = A3 )
% 0.28/0.66 & ( B2 = B3 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % old.prod.inject
% 0.28/0.66 thf(fact_21_old_Oprod_Oinject,axiom,
% 0.28/0.66 ! [A2: produc866628903_sc_sz,B2: denota610675952t_unit,A3: produc866628903_sc_sz,B3: denota610675952t_unit] :
% 0.28/0.66 ( ( ( produc502616768t_unit @ A2 @ B2 )
% 0.28/0.66 = ( produc502616768t_unit @ A3 @ B3 ) )
% 0.28/0.66 = ( ( A2 = A3 )
% 0.28/0.66 & ( B2 = B3 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % old.prod.inject
% 0.28/0.66 thf(fact_22_old_Oprod_Oinject,axiom,
% 0.28/0.66 ! [A2: produc190496183real_c,B2: produc190496183real_c,A3: produc190496183real_c,B3: produc190496183real_c] :
% 0.28/0.66 ( ( ( produc1687028567real_c @ A2 @ B2 )
% 0.28/0.66 = ( produc1687028567real_c @ A3 @ B3 ) )
% 0.28/0.66 = ( ( A2 = A3 )
% 0.28/0.66 & ( B2 = B3 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % old.prod.inject
% 0.28/0.66 thf(fact_23_old_Oprod_Oinject,axiom,
% 0.28/0.66 ! [A2: denota610675952t_unit,B2: produc866628903_sc_sz,A3: denota610675952t_unit,B3: produc866628903_sc_sz] :
% 0.28/0.66 ( ( ( produc789536734_sc_sz @ A2 @ B2 )
% 0.28/0.66 = ( produc789536734_sc_sz @ A3 @ B3 ) )
% 0.28/0.66 = ( ( A2 = A3 )
% 0.28/0.66 & ( B2 = B3 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % old.prod.inject
% 0.28/0.66 thf(fact_24_prod__cases3,axiom,
% 0.28/0.66 ! [Y: produc640052711real_c] :
% 0.28/0.66 ~ ! [A4: produc190496183real_c,B4: finite1398487019real_c,C: finite1398487019real_c] :
% 0.28/0.66 ( Y
% 0.28/0.66 != ( produc1687028567real_c @ A4 @ ( produc394644079real_c @ B4 @ C ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % prod_cases3
% 0.28/0.66 thf(fact_25_prod__cases3,axiom,
% 0.28/0.66 ! [Y: produc1821101996_sc_sz] :
% 0.28/0.66 ~ ! [A4: denota610675952t_unit,B4: list_f1238882004_sc_sz,C: list_f1238882004_sc_sz] :
% 0.28/0.66 ( Y
% 0.28/0.66 != ( produc789536734_sc_sz @ A4 @ ( produc1822718231_sc_sz @ B4 @ C ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % prod_cases3
% 0.28/0.66 thf(fact_26_old_Oprod_Oinducts,axiom,
% 0.28/0.66 ! [P: produc866628903_sc_sz > $o,Prod: produc866628903_sc_sz] :
% 0.28/0.66 ( ! [A4: list_f1238882004_sc_sz,B4: list_f1238882004_sc_sz] : ( P @ ( produc1822718231_sc_sz @ A4 @ B4 ) )
% 0.28/0.66 => ( P @ Prod ) ) ).
% 0.28/0.66
% 0.28/0.66 % old.prod.inducts
% 0.28/0.66 thf(fact_27_old_Oprod_Oinducts,axiom,
% 0.28/0.66 ! [P: produc190496183real_c > $o,Prod: produc190496183real_c] :
% 0.28/0.66 ( ! [A4: finite1398487019real_c,B4: finite1398487019real_c] : ( P @ ( produc394644079real_c @ A4 @ B4 ) )
% 0.28/0.66 => ( P @ Prod ) ) ).
% 0.28/0.66
% 0.28/0.66 % old.prod.inducts
% 0.28/0.66 thf(fact_28_old_Oprod_Oinducts,axiom,
% 0.28/0.66 ! [P: produc999471430t_unit > $o,Prod: produc999471430t_unit] :
% 0.28/0.66 ( ! [A4: produc866628903_sc_sz,B4: denota610675952t_unit] : ( P @ ( produc502616768t_unit @ A4 @ B4 ) )
% 0.28/0.66 => ( P @ Prod ) ) ).
% 0.28/0.66
% 0.28/0.66 % old.prod.inducts
% 0.28/0.66 thf(fact_29_old_Oprod_Oinducts,axiom,
% 0.28/0.66 ! [P: produc640052711real_c > $o,Prod: produc640052711real_c] :
% 0.28/0.66 ( ! [A4: produc190496183real_c,B4: produc190496183real_c] : ( P @ ( produc1687028567real_c @ A4 @ B4 ) )
% 0.28/0.66 => ( P @ Prod ) ) ).
% 0.28/0.66
% 0.28/0.66 % old.prod.inducts
% 0.28/0.66 thf(fact_30_old_Oprod_Oinducts,axiom,
% 0.28/0.66 ! [P: produc1821101996_sc_sz > $o,Prod: produc1821101996_sc_sz] :
% 0.28/0.66 ( ! [A4: denota610675952t_unit,B4: produc866628903_sc_sz] : ( P @ ( produc789536734_sc_sz @ A4 @ B4 ) )
% 0.28/0.66 => ( P @ Prod ) ) ).
% 0.28/0.66
% 0.28/0.66 % old.prod.inducts
% 0.28/0.66 thf(fact_31_old_Oprod_Oexhaust,axiom,
% 0.28/0.66 ! [Y: produc866628903_sc_sz] :
% 0.28/0.66 ~ ! [A4: list_f1238882004_sc_sz,B4: list_f1238882004_sc_sz] :
% 0.28/0.66 ( Y
% 0.28/0.66 != ( produc1822718231_sc_sz @ A4 @ B4 ) ) ).
% 0.28/0.66
% 0.28/0.66 % old.prod.exhaust
% 0.28/0.66 thf(fact_32_old_Oprod_Oexhaust,axiom,
% 0.28/0.66 ! [Y: produc190496183real_c] :
% 0.28/0.66 ~ ! [A4: finite1398487019real_c,B4: finite1398487019real_c] :
% 0.28/0.66 ( Y
% 0.28/0.66 != ( produc394644079real_c @ A4 @ B4 ) ) ).
% 0.28/0.66
% 0.28/0.66 % old.prod.exhaust
% 0.28/0.66 thf(fact_33_old_Oprod_Oexhaust,axiom,
% 0.28/0.66 ! [Y: produc999471430t_unit] :
% 0.28/0.66 ~ ! [A4: produc866628903_sc_sz,B4: denota610675952t_unit] :
% 0.28/0.66 ( Y
% 0.28/0.66 != ( produc502616768t_unit @ A4 @ B4 ) ) ).
% 0.28/0.66
% 0.28/0.66 % old.prod.exhaust
% 0.28/0.66 thf(fact_34_old_Oprod_Oexhaust,axiom,
% 0.28/0.66 ! [Y: produc640052711real_c] :
% 0.28/0.66 ~ ! [A4: produc190496183real_c,B4: produc190496183real_c] :
% 0.28/0.66 ( Y
% 0.28/0.66 != ( produc1687028567real_c @ A4 @ B4 ) ) ).
% 0.28/0.66
% 0.28/0.66 % old.prod.exhaust
% 0.28/0.66 thf(fact_35_old_Oprod_Oexhaust,axiom,
% 0.28/0.66 ! [Y: produc1821101996_sc_sz] :
% 0.28/0.66 ~ ! [A4: denota610675952t_unit,B4: produc866628903_sc_sz] :
% 0.28/0.66 ( Y
% 0.28/0.66 != ( produc789536734_sc_sz @ A4 @ B4 ) ) ).
% 0.28/0.66
% 0.28/0.66 % old.prod.exhaust
% 0.28/0.66 thf(fact_36_Pair__inject,axiom,
% 0.28/0.66 ! [A2: list_f1238882004_sc_sz,B2: list_f1238882004_sc_sz,A3: list_f1238882004_sc_sz,B3: list_f1238882004_sc_sz] :
% 0.28/0.66 ( ( ( produc1822718231_sc_sz @ A2 @ B2 )
% 0.28/0.66 = ( produc1822718231_sc_sz @ A3 @ B3 ) )
% 0.28/0.66 => ~ ( ( A2 = A3 )
% 0.28/0.66 => ( B2 != B3 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % Pair_inject
% 0.28/0.66 thf(fact_37_Pair__inject,axiom,
% 0.28/0.66 ! [A2: finite1398487019real_c,B2: finite1398487019real_c,A3: finite1398487019real_c,B3: finite1398487019real_c] :
% 0.28/0.66 ( ( ( produc394644079real_c @ A2 @ B2 )
% 0.28/0.66 = ( produc394644079real_c @ A3 @ B3 ) )
% 0.28/0.66 => ~ ( ( A2 = A3 )
% 0.28/0.66 => ( B2 != B3 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % Pair_inject
% 0.28/0.66 thf(fact_38_Pair__inject,axiom,
% 0.28/0.66 ! [A2: produc866628903_sc_sz,B2: denota610675952t_unit,A3: produc866628903_sc_sz,B3: denota610675952t_unit] :
% 0.28/0.66 ( ( ( produc502616768t_unit @ A2 @ B2 )
% 0.28/0.66 = ( produc502616768t_unit @ A3 @ B3 ) )
% 0.28/0.66 => ~ ( ( A2 = A3 )
% 0.28/0.66 => ( B2 != B3 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % Pair_inject
% 0.28/0.66 thf(fact_39_Pair__inject,axiom,
% 0.28/0.66 ! [A2: produc190496183real_c,B2: produc190496183real_c,A3: produc190496183real_c,B3: produc190496183real_c] :
% 0.28/0.66 ( ( ( produc1687028567real_c @ A2 @ B2 )
% 0.28/0.66 = ( produc1687028567real_c @ A3 @ B3 ) )
% 0.28/0.66 => ~ ( ( A2 = A3 )
% 0.28/0.66 => ( B2 != B3 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % Pair_inject
% 0.28/0.66 thf(fact_40_Pair__inject,axiom,
% 0.28/0.66 ! [A2: denota610675952t_unit,B2: produc866628903_sc_sz,A3: denota610675952t_unit,B3: produc866628903_sc_sz] :
% 0.28/0.66 ( ( ( produc789536734_sc_sz @ A2 @ B2 )
% 0.28/0.66 = ( produc789536734_sc_sz @ A3 @ B3 ) )
% 0.28/0.66 => ~ ( ( A2 = A3 )
% 0.28/0.66 => ( B2 != B3 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % Pair_inject
% 0.28/0.66 thf(fact_41_prod__cases,axiom,
% 0.28/0.66 ! [P: produc866628903_sc_sz > $o,P2: produc866628903_sc_sz] :
% 0.28/0.66 ( ! [A4: list_f1238882004_sc_sz,B4: list_f1238882004_sc_sz] : ( P @ ( produc1822718231_sc_sz @ A4 @ B4 ) )
% 0.28/0.66 => ( P @ P2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % prod_cases
% 0.28/0.66 thf(fact_42_prod__cases,axiom,
% 0.28/0.66 ! [P: produc190496183real_c > $o,P2: produc190496183real_c] :
% 0.28/0.66 ( ! [A4: finite1398487019real_c,B4: finite1398487019real_c] : ( P @ ( produc394644079real_c @ A4 @ B4 ) )
% 0.28/0.66 => ( P @ P2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % prod_cases
% 0.28/0.66 thf(fact_43_prod__cases,axiom,
% 0.28/0.66 ! [P: produc999471430t_unit > $o,P2: produc999471430t_unit] :
% 0.28/0.66 ( ! [A4: produc866628903_sc_sz,B4: denota610675952t_unit] : ( P @ ( produc502616768t_unit @ A4 @ B4 ) )
% 0.28/0.66 => ( P @ P2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % prod_cases
% 0.28/0.66 thf(fact_44_prod__cases,axiom,
% 0.28/0.66 ! [P: produc640052711real_c > $o,P2: produc640052711real_c] :
% 0.28/0.66 ( ! [A4: produc190496183real_c,B4: produc190496183real_c] : ( P @ ( produc1687028567real_c @ A4 @ B4 ) )
% 0.28/0.66 => ( P @ P2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % prod_cases
% 0.28/0.66 thf(fact_45_prod__cases,axiom,
% 0.28/0.66 ! [P: produc1821101996_sc_sz > $o,P2: produc1821101996_sc_sz] :
% 0.28/0.66 ( ! [A4: denota610675952t_unit,B4: produc866628903_sc_sz] : ( P @ ( produc789536734_sc_sz @ A4 @ B4 ) )
% 0.28/0.66 => ( P @ P2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % prod_cases
% 0.28/0.66 thf(fact_46_surj__pair,axiom,
% 0.28/0.66 ! [P2: produc866628903_sc_sz] :
% 0.28/0.66 ? [X3: list_f1238882004_sc_sz,Y3: list_f1238882004_sc_sz] :
% 0.28/0.66 ( P2
% 0.28/0.66 = ( produc1822718231_sc_sz @ X3 @ Y3 ) ) ).
% 0.28/0.66
% 0.28/0.66 % surj_pair
% 0.28/0.66 thf(fact_47_surj__pair,axiom,
% 0.28/0.66 ! [P2: produc190496183real_c] :
% 0.28/0.66 ? [X3: finite1398487019real_c,Y3: finite1398487019real_c] :
% 0.28/0.66 ( P2
% 0.28/0.66 = ( produc394644079real_c @ X3 @ Y3 ) ) ).
% 0.28/0.66
% 0.28/0.66 % surj_pair
% 0.28/0.66 thf(fact_48_surj__pair,axiom,
% 0.28/0.66 ! [P2: produc999471430t_unit] :
% 0.28/0.66 ? [X3: produc866628903_sc_sz,Y3: denota610675952t_unit] :
% 0.28/0.66 ( P2
% 0.28/0.66 = ( produc502616768t_unit @ X3 @ Y3 ) ) ).
% 0.28/0.66
% 0.28/0.66 % surj_pair
% 0.28/0.66 thf(fact_49_surj__pair,axiom,
% 0.28/0.66 ! [P2: produc640052711real_c] :
% 0.28/0.66 ? [X3: produc190496183real_c,Y3: produc190496183real_c] :
% 0.28/0.66 ( P2
% 0.28/0.66 = ( produc1687028567real_c @ X3 @ Y3 ) ) ).
% 0.28/0.66
% 0.28/0.66 % surj_pair
% 0.28/0.66 thf(fact_50_surj__pair,axiom,
% 0.28/0.66 ! [P2: produc1821101996_sc_sz] :
% 0.28/0.66 ? [X3: denota610675952t_unit,Y3: produc866628903_sc_sz] :
% 0.28/0.66 ( P2
% 0.28/0.66 = ( produc789536734_sc_sz @ X3 @ Y3 ) ) ).
% 0.28/0.66
% 0.28/0.66 % surj_pair
% 0.28/0.66 thf(fact_51_prod__induct3,axiom,
% 0.28/0.66 ! [P: produc640052711real_c > $o,X: produc640052711real_c] :
% 0.28/0.66 ( ! [A4: produc190496183real_c,B4: finite1398487019real_c,C: finite1398487019real_c] : ( P @ ( produc1687028567real_c @ A4 @ ( produc394644079real_c @ B4 @ C ) ) )
% 0.28/0.66 => ( P @ X ) ) ).
% 0.28/0.66
% 0.28/0.66 % prod_induct3
% 0.28/0.66 thf(fact_52_prod__induct3,axiom,
% 0.28/0.66 ! [P: produc1821101996_sc_sz > $o,X: produc1821101996_sc_sz] :
% 0.28/0.66 ( ! [A4: denota610675952t_unit,B4: list_f1238882004_sc_sz,C: list_f1238882004_sc_sz] : ( P @ ( produc789536734_sc_sz @ A4 @ ( produc1822718231_sc_sz @ B4 @ C ) ) )
% 0.28/0.66 => ( P @ X ) ) ).
% 0.28/0.66
% 0.28/0.66 % prod_induct3
% 0.28/0.66 thf(fact_53_mem__Collect__eq,axiom,
% 0.28/0.66 ! [A2: finite1398487019real_c,P: finite1398487019real_c > $o] :
% 0.28/0.66 ( ( member1261661570real_c @ A2 @ ( collec230941376real_c @ P ) )
% 0.28/0.66 = ( P @ A2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_Collect_eq
% 0.28/0.66 thf(fact_54_mem__Collect__eq,axiom,
% 0.28/0.66 ! [A2: produc1821101996_sc_sz,P: produc1821101996_sc_sz > $o] :
% 0.28/0.66 ( ( member1057565379_sc_sz @ A2 @ ( collec1199592193_sc_sz @ P ) )
% 0.28/0.66 = ( P @ A2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_Collect_eq
% 0.28/0.66 thf(fact_55_mem__Collect__eq,axiom,
% 0.28/0.66 ! [A2: produc640052711real_c,P: produc640052711real_c > $o] :
% 0.28/0.66 ( ( member346808080real_c @ A2 @ ( collec1126017874real_c @ P ) )
% 0.28/0.66 = ( P @ A2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_Collect_eq
% 0.28/0.66 thf(fact_56_mem__Collect__eq,axiom,
% 0.28/0.66 ! [A2: produc999471430t_unit,P: produc999471430t_unit > $o] :
% 0.28/0.66 ( ( member235934813t_unit @ A2 @ ( collec377961627t_unit @ P ) )
% 0.28/0.66 = ( P @ A2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_Collect_eq
% 0.28/0.66 thf(fact_57_mem__Collect__eq,axiom,
% 0.28/0.66 ! [A2: produc866628903_sc_sz,P: produc866628903_sc_sz > $o] :
% 0.28/0.66 ( ( member245028432_sc_sz @ A2 @ ( collec2036662930_sc_sz @ P ) )
% 0.28/0.66 = ( P @ A2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_Collect_eq
% 0.28/0.66 thf(fact_58_mem__Collect__eq,axiom,
% 0.28/0.66 ! [A2: produc190496183real_c,P: produc190496183real_c > $o] :
% 0.28/0.66 ( ( member1895684704real_c @ A2 @ ( collec1643251106real_c @ P ) )
% 0.28/0.66 = ( P @ A2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_Collect_eq
% 0.28/0.66 thf(fact_59_Collect__mem__eq,axiom,
% 0.28/0.66 ! [A: set_Fi1407883041real_c] :
% 0.28/0.66 ( ( collec230941376real_c
% 0.28/0.66 @ ^ [X4: finite1398487019real_c] : ( member1261661570real_c @ X4 @ A ) )
% 0.28/0.66 = A ) ).
% 0.28/0.66
% 0.28/0.66 % Collect_mem_eq
% 0.28/0.66 thf(fact_60_Collect__mem__eq,axiom,
% 0.28/0.66 ! [A: set_Pr1169339874_sc_sz] :
% 0.28/0.66 ( ( collec1199592193_sc_sz
% 0.28/0.66 @ ^ [X4: produc1821101996_sc_sz] : ( member1057565379_sc_sz @ X4 @ A ) )
% 0.28/0.66 = A ) ).
% 0.28/0.66
% 0.28/0.66 % Collect_mem_eq
% 0.28/0.66 thf(fact_61_Collect__mem__eq,axiom,
% 0.28/0.66 ! [A: set_Pr754230471real_c] :
% 0.28/0.66 ( ( collec1126017874real_c
% 0.28/0.66 @ ^ [X4: produc640052711real_c] : ( member346808080real_c @ X4 @ A ) )
% 0.28/0.66 = A ) ).
% 0.28/0.66
% 0.28/0.66 % Collect_mem_eq
% 0.28/0.66 thf(fact_62_Collect__mem__eq,axiom,
% 0.28/0.66 ! [A: set_Pr2041213564t_unit] :
% 0.28/0.66 ( ( collec377961627t_unit
% 0.28/0.66 @ ^ [X4: produc999471430t_unit] : ( member235934813t_unit @ X4 @ A ) )
% 0.28/0.66 = A ) ).
% 0.28/0.66
% 0.28/0.66 % Collect_mem_eq
% 0.28/0.66 thf(fact_63_Collect__mem__eq,axiom,
% 0.28/0.66 ! [A: set_Pr1774599175_sc_sz] :
% 0.28/0.66 ( ( collec2036662930_sc_sz
% 0.28/0.66 @ ^ [X4: produc866628903_sc_sz] : ( member245028432_sc_sz @ X4 @ A ) )
% 0.28/0.66 = A ) ).
% 0.28/0.66
% 0.28/0.66 % Collect_mem_eq
% 0.28/0.66 thf(fact_64_Collect__mem__eq,axiom,
% 0.28/0.66 ! [A: set_Pr1389752855real_c] :
% 0.28/0.66 ( ( collec1643251106real_c
% 0.28/0.66 @ ^ [X4: produc190496183real_c] : ( member1895684704real_c @ X4 @ A ) )
% 0.28/0.66 = A ) ).
% 0.28/0.66
% 0.28/0.66 % Collect_mem_eq
% 0.28/0.66 thf(fact_65_Collect__cong,axiom,
% 0.28/0.66 ! [P: produc190496183real_c > $o,Q: produc190496183real_c > $o] :
% 0.28/0.66 ( ! [X3: produc190496183real_c] :
% 0.28/0.66 ( ( P @ X3 )
% 0.28/0.66 = ( Q @ X3 ) )
% 0.28/0.66 => ( ( collec1643251106real_c @ P )
% 0.28/0.66 = ( collec1643251106real_c @ Q ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % Collect_cong
% 0.28/0.66 thf(fact_66_ids_Ovne23,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Vid2 != Vid3 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.vne23
% 0.28/0.66 thf(fact_67_ids_Ovne13,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Vid1 != Vid3 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.vne13
% 0.28/0.66 thf(fact_68_ids_Ovne12,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Vid1 != Vid2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.vne12
% 0.28/0.66 thf(fact_69_ids_Opne34,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Pid3 != Pid4 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.pne34
% 0.28/0.66 thf(fact_70_ids_Opne24,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Pid2 != Pid4 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.pne24
% 0.28/0.66 thf(fact_71_ids_Opne23,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Pid2 != Pid3 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.pne23
% 0.28/0.66 thf(fact_72_ids_Oid__simps_I24_J,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Pid4 != Pid3 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.id_simps(24)
% 0.28/0.66 thf(fact_73_ids_Oid__simps_I23_J,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Pid4 != Pid2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.id_simps(23)
% 0.28/0.66 thf(fact_74_ids_Oid__simps_I22_J,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Pid4 != Pid1 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.id_simps(22)
% 0.28/0.66 thf(fact_75_ids_Oid__simps_I21_J,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Pid3 != Pid1 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.id_simps(21)
% 0.28/0.66 thf(fact_76_ids_Oid__simps_I20_J,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Pid3 != Pid2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.id_simps(20)
% 0.28/0.66 thf(fact_77_ids_Oid__simps_I19_J,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Pid2 != Pid1 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.id_simps(19)
% 0.28/0.66 thf(fact_78_ids_Oid__simps_I18_J,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Fid3 != Fid1 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.id_simps(18)
% 0.28/0.66 thf(fact_79_ids_Oid__simps_I17_J,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Fid3 != Fid2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.id_simps(17)
% 0.28/0.66 thf(fact_80_ids_Oid__simps_I16_J,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Fid2 != Fid1 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.id_simps(16)
% 0.28/0.66 thf(fact_81_ids_Oid__simps_I15_J,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Vid3 != Vid1 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.id_simps(15)
% 0.28/0.66 thf(fact_82_ids_Oid__simps_I14_J,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Vid3 != Vid2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.id_simps(14)
% 0.28/0.66 thf(fact_83_ids_Oid__simps_I13_J,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Vid2 != Vid1 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.id_simps(13)
% 0.28/0.66 thf(fact_84_ids_Oid__simps_I12_J,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Pid3 != Pid4 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.id_simps(12)
% 0.28/0.66 thf(fact_85_ids_Oid__simps_I11_J,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Pid2 != Pid4 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.id_simps(11)
% 0.28/0.66 thf(fact_86_ids_Oid__simps_I10_J,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Pid1 != Pid4 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.id_simps(10)
% 0.28/0.66 thf(fact_87_ids_Oid__simps_I9_J,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Pid1 != Pid3 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.id_simps(9)
% 0.28/0.66 thf(fact_88_ids_Oid__simps_I8_J,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Pid2 != Pid3 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.id_simps(8)
% 0.28/0.66 thf(fact_89_ids_Oid__simps_I7_J,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Pid1 != Pid2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.id_simps(7)
% 0.28/0.66 thf(fact_90_ids_Oid__simps_I6_J,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Fid1 != Fid3 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.id_simps(6)
% 0.28/0.66 thf(fact_91_ids_Oid__simps_I5_J,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Fid2 != Fid3 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.id_simps(5)
% 0.28/0.66 thf(fact_92_ids_Oid__simps_I4_J,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Fid1 != Fid2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.id_simps(4)
% 0.28/0.66 thf(fact_93_ids_Oid__simps_I3_J,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Vid1 != Vid3 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.id_simps(3)
% 0.28/0.66 thf(fact_94_ids_Oid__simps_I2_J,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Vid2 != Vid3 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.id_simps(2)
% 0.28/0.66 thf(fact_95_ids_Oid__simps_I1_J,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Vid1 != Vid2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.id_simps(1)
% 0.28/0.66 thf(fact_96_ids__def,axiom,
% 0.28/0.66 ( ids_sz_sf_sc
% 0.28/0.66 = ( ^ [Vid12: sz,Vid22: sz,Vid32: sz,Fid12: sf,Fid22: sf,Fid32: sf,Pid12: sc,Pid22: sc,Pid32: sc,Pid42: sc] :
% 0.28/0.66 ( ( Vid12 != Vid22 )
% 0.28/0.66 & ( Vid22 != Vid32 )
% 0.28/0.66 & ( Vid12 != Vid32 )
% 0.28/0.66 & ( Fid12 != Fid22 )
% 0.28/0.66 & ( Fid22 != Fid32 )
% 0.28/0.66 & ( Fid12 != Fid32 )
% 0.28/0.66 & ( Pid12 != Pid22 )
% 0.28/0.66 & ( Pid22 != Pid32 )
% 0.28/0.66 & ( Pid12 != Pid32 )
% 0.28/0.66 & ( Pid12 != Pid42 )
% 0.28/0.66 & ( Pid22 != Pid42 )
% 0.28/0.66 & ( Pid32 != Pid42 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids_def
% 0.28/0.66 thf(fact_97_ids_Ofne12,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Fid1 != Fid2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.fne12
% 0.28/0.66 thf(fact_98_ids_Ofne13,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Fid1 != Fid3 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.fne13
% 0.28/0.66 thf(fact_99_ids_Ofne23,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Fid2 != Fid3 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.fne23
% 0.28/0.66 thf(fact_100_ids_Ointro,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( Vid1 != Vid2 )
% 0.28/0.66 => ( ( Vid2 != Vid3 )
% 0.28/0.66 => ( ( Vid1 != Vid3 )
% 0.28/0.66 => ( ( Fid1 != Fid2 )
% 0.28/0.66 => ( ( Fid2 != Fid3 )
% 0.28/0.66 => ( ( Fid1 != Fid3 )
% 0.28/0.66 => ( ( Pid1 != Pid2 )
% 0.28/0.66 => ( ( Pid2 != Pid3 )
% 0.28/0.66 => ( ( Pid1 != Pid3 )
% 0.28/0.66 => ( ( Pid1 != Pid4 )
% 0.28/0.66 => ( ( Pid2 != Pid4 )
% 0.28/0.66 => ( ( Pid3 != Pid4 )
% 0.28/0.66 => ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.intro
% 0.28/0.66 thf(fact_101_ids_Opne12,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Pid1 != Pid2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.pne12
% 0.28/0.66 thf(fact_102_ids_Opne13,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Pid1 != Pid3 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.pne13
% 0.28/0.66 thf(fact_103_ids_Opne14,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( Pid1 != Pid4 ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.pne14
% 0.28/0.66 thf(fact_104_curry__conv,axiom,
% 0.28/0.66 ( produc1086673900c_sz_o
% 0.28/0.66 = ( ^ [F: produc1821101996_sc_sz > $o,A5: denota610675952t_unit,B5: produc866628903_sc_sz] : ( F @ ( produc789536734_sc_sz @ A5 @ B5 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % curry_conv
% 0.28/0.66 thf(fact_105_ssubst__Pair__rhs,axiom,
% 0.28/0.66 ! [R: list_f1238882004_sc_sz,S2: list_f1238882004_sc_sz,R2: set_Pr1774599175_sc_sz,S3: list_f1238882004_sc_sz] :
% 0.28/0.66 ( ( member245028432_sc_sz @ ( produc1822718231_sc_sz @ R @ S2 ) @ R2 )
% 0.28/0.66 => ( ( S3 = S2 )
% 0.28/0.66 => ( member245028432_sc_sz @ ( produc1822718231_sc_sz @ R @ S3 ) @ R2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % ssubst_Pair_rhs
% 0.28/0.66 thf(fact_106_ssubst__Pair__rhs,axiom,
% 0.28/0.66 ! [R: produc866628903_sc_sz,S2: denota610675952t_unit,R2: set_Pr2041213564t_unit,S3: denota610675952t_unit] :
% 0.28/0.66 ( ( member235934813t_unit @ ( produc502616768t_unit @ R @ S2 ) @ R2 )
% 0.28/0.66 => ( ( S3 = S2 )
% 0.28/0.66 => ( member235934813t_unit @ ( produc502616768t_unit @ R @ S3 ) @ R2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % ssubst_Pair_rhs
% 0.28/0.66 thf(fact_107_ssubst__Pair__rhs,axiom,
% 0.28/0.66 ! [R: produc190496183real_c,S2: produc190496183real_c,R2: set_Pr754230471real_c,S3: produc190496183real_c] :
% 0.28/0.66 ( ( member346808080real_c @ ( produc1687028567real_c @ R @ S2 ) @ R2 )
% 0.28/0.66 => ( ( S3 = S2 )
% 0.28/0.66 => ( member346808080real_c @ ( produc1687028567real_c @ R @ S3 ) @ R2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % ssubst_Pair_rhs
% 0.28/0.66 thf(fact_108_ssubst__Pair__rhs,axiom,
% 0.28/0.66 ! [R: finite1398487019real_c,S2: finite1398487019real_c,R2: set_Pr1389752855real_c,S3: finite1398487019real_c] :
% 0.28/0.66 ( ( member1895684704real_c @ ( produc394644079real_c @ R @ S2 ) @ R2 )
% 0.28/0.66 => ( ( S3 = S2 )
% 0.28/0.66 => ( member1895684704real_c @ ( produc394644079real_c @ R @ S3 ) @ R2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % ssubst_Pair_rhs
% 0.28/0.66 thf(fact_109_ssubst__Pair__rhs,axiom,
% 0.28/0.66 ! [R: denota610675952t_unit,S2: produc866628903_sc_sz,R2: set_Pr1169339874_sc_sz,S3: produc866628903_sc_sz] :
% 0.28/0.66 ( ( member1057565379_sc_sz @ ( produc789536734_sc_sz @ R @ S2 ) @ R2 )
% 0.28/0.66 => ( ( S3 = S2 )
% 0.28/0.66 => ( member1057565379_sc_sz @ ( produc789536734_sc_sz @ R @ S3 ) @ R2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % ssubst_Pair_rhs
% 0.28/0.66 thf(fact_110_curryI,axiom,
% 0.28/0.66 ! [F2: produc866628903_sc_sz > $o,A2: list_f1238882004_sc_sz,B2: list_f1238882004_sc_sz] :
% 0.28/0.66 ( ( F2 @ ( produc1822718231_sc_sz @ A2 @ B2 ) )
% 0.28/0.66 => ( produc880541325c_sz_o @ F2 @ A2 @ B2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % curryI
% 0.28/0.66 thf(fact_111_curryI,axiom,
% 0.28/0.66 ! [F2: produc190496183real_c > $o,A2: finite1398487019real_c,B2: finite1398487019real_c] :
% 0.28/0.66 ( ( F2 @ ( produc394644079real_c @ A2 @ B2 ) )
% 0.28/0.66 => ( produc1716060341al_c_o @ F2 @ A2 @ B2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % curryI
% 0.28/0.66 thf(fact_112_curryI,axiom,
% 0.28/0.66 ! [F2: produc999471430t_unit > $o,A2: produc866628903_sc_sz,B2: denota610675952t_unit] :
% 0.28/0.66 ( ( F2 @ ( produc502616768t_unit @ A2 @ B2 ) )
% 0.28/0.66 => ( produc38128778unit_o @ F2 @ A2 @ B2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % curryI
% 0.28/0.66 thf(fact_113_curryI,axiom,
% 0.28/0.66 ! [F2: produc640052711real_c > $o,A2: produc190496183real_c,B2: produc190496183real_c] :
% 0.28/0.66 ( ( F2 @ ( produc1687028567real_c @ A2 @ B2 ) )
% 0.28/0.66 => ( produc440529997al_c_o @ F2 @ A2 @ B2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % curryI
% 0.28/0.66 thf(fact_114_curryI,axiom,
% 0.28/0.66 ! [F2: produc1821101996_sc_sz > $o,A2: denota610675952t_unit,B2: produc866628903_sc_sz] :
% 0.28/0.66 ( ( F2 @ ( produc789536734_sc_sz @ A2 @ B2 ) )
% 0.28/0.66 => ( produc1086673900c_sz_o @ F2 @ A2 @ B2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % curryI
% 0.28/0.66 thf(fact_115_swap__simp,axiom,
% 0.28/0.66 ! [X: list_f1238882004_sc_sz,Y: list_f1238882004_sc_sz] :
% 0.28/0.66 ( ( produc1145837239_sc_sz @ ( produc1822718231_sc_sz @ X @ Y ) )
% 0.28/0.66 = ( produc1822718231_sc_sz @ Y @ X ) ) ).
% 0.28/0.66
% 0.28/0.66 % swap_simp
% 0.28/0.66 thf(fact_116_swap__simp,axiom,
% 0.28/0.66 ! [X: produc190496183real_c,Y: produc190496183real_c] :
% 0.28/0.66 ( ( produc350724343real_c @ ( produc1687028567real_c @ X @ Y ) )
% 0.28/0.66 = ( produc1687028567real_c @ Y @ X ) ) ).
% 0.28/0.66
% 0.28/0.66 % swap_simp
% 0.28/0.66 thf(fact_117_swap__simp,axiom,
% 0.28/0.66 ! [X: finite1398487019real_c,Y: finite1398487019real_c] :
% 0.28/0.66 ( ( produc704157711real_c @ ( produc394644079real_c @ X @ Y ) )
% 0.28/0.66 = ( produc394644079real_c @ Y @ X ) ) ).
% 0.28/0.66
% 0.28/0.66 % swap_simp
% 0.28/0.66 thf(fact_118_swap__simp,axiom,
% 0.28/0.66 ! [X: produc866628903_sc_sz,Y: denota610675952t_unit] :
% 0.28/0.66 ( ( produc245128480t_unit @ ( produc502616768t_unit @ X @ Y ) )
% 0.28/0.66 = ( produc789536734_sc_sz @ Y @ X ) ) ).
% 0.28/0.66
% 0.28/0.66 % swap_simp
% 0.28/0.66 thf(fact_119_swap__simp,axiom,
% 0.28/0.66 ! [X: denota610675952t_unit,Y: produc866628903_sc_sz] :
% 0.28/0.66 ( ( produc532048446_sc_sz @ ( produc789536734_sc_sz @ X @ Y ) )
% 0.28/0.66 = ( produc502616768t_unit @ Y @ X ) ) ).
% 0.28/0.66
% 0.28/0.66 % swap_simp
% 0.28/0.66 thf(fact_120_ids_Ovalid__def,axiom,
% 0.28/0.66 ! [Vid1: sz,Vid2: sz,Vid3: sz,Fid1: sf,Fid2: sf,Fid3: sf,Pid1: sc,Pid2: sc,Pid3: sc,Pid4: sc,Phi2: formula_sf_sc_sz] :
% 0.28/0.66 ( ( ids_sz_sf_sc @ Vid1 @ Vid2 @ Vid3 @ Fid1 @ Fid2 @ Fid3 @ Pid1 @ Pid2 @ Pid3 @ Pid4 )
% 0.28/0.66 => ( ( denota1946510237_sc_sz @ Phi2 )
% 0.28/0.66 = ( ! [I: denota610675952t_unit,Nu: produc1149990247eal_sz] :
% 0.28/0.66 ( ( denota1579475975_sc_sz @ I )
% 0.28/0.66 => ( member630771088eal_sz @ Nu @ ( denota1711272799_sc_sz @ I @ Phi2 ) ) ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % ids.valid_def
% 0.28/0.66 thf(fact_121_swap__swap,axiom,
% 0.28/0.66 ! [P2: produc999471430t_unit] :
% 0.28/0.66 ( ( produc532048446_sc_sz @ ( produc245128480t_unit @ P2 ) )
% 0.28/0.66 = P2 ) ).
% 0.28/0.66
% 0.28/0.66 % swap_swap
% 0.28/0.66 thf(fact_122_swap__swap,axiom,
% 0.28/0.66 ! [P2: produc1821101996_sc_sz] :
% 0.28/0.66 ( ( produc245128480t_unit @ ( produc532048446_sc_sz @ P2 ) )
% 0.28/0.66 = P2 ) ).
% 0.28/0.66
% 0.28/0.66 % swap_swap
% 0.28/0.66 thf(fact_123_swap__swap,axiom,
% 0.28/0.66 ! [P2: produc190496183real_c] :
% 0.28/0.66 ( ( produc704157711real_c @ ( produc704157711real_c @ P2 ) )
% 0.28/0.66 = P2 ) ).
% 0.28/0.66
% 0.28/0.66 % swap_swap
% 0.28/0.66 thf(fact_124_curryE,axiom,
% 0.28/0.66 ! [F2: produc866628903_sc_sz > $o,A2: list_f1238882004_sc_sz,B2: list_f1238882004_sc_sz] :
% 0.28/0.66 ( ( produc880541325c_sz_o @ F2 @ A2 @ B2 )
% 0.28/0.66 => ( F2 @ ( produc1822718231_sc_sz @ A2 @ B2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % curryE
% 0.28/0.66 thf(fact_125_curryE,axiom,
% 0.28/0.66 ! [F2: produc190496183real_c > $o,A2: finite1398487019real_c,B2: finite1398487019real_c] :
% 0.28/0.66 ( ( produc1716060341al_c_o @ F2 @ A2 @ B2 )
% 0.28/0.66 => ( F2 @ ( produc394644079real_c @ A2 @ B2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % curryE
% 0.28/0.66 thf(fact_126_curryE,axiom,
% 0.28/0.66 ! [F2: produc999471430t_unit > $o,A2: produc866628903_sc_sz,B2: denota610675952t_unit] :
% 0.28/0.66 ( ( produc38128778unit_o @ F2 @ A2 @ B2 )
% 0.28/0.66 => ( F2 @ ( produc502616768t_unit @ A2 @ B2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % curryE
% 0.28/0.66 thf(fact_127_curryE,axiom,
% 0.28/0.66 ! [F2: produc640052711real_c > $o,A2: produc190496183real_c,B2: produc190496183real_c] :
% 0.28/0.66 ( ( produc440529997al_c_o @ F2 @ A2 @ B2 )
% 0.28/0.66 => ( F2 @ ( produc1687028567real_c @ A2 @ B2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % curryE
% 0.28/0.66 thf(fact_128_curryE,axiom,
% 0.28/0.66 ! [F2: produc1821101996_sc_sz > $o,A2: denota610675952t_unit,B2: produc866628903_sc_sz] :
% 0.28/0.66 ( ( produc1086673900c_sz_o @ F2 @ A2 @ B2 )
% 0.28/0.66 => ( F2 @ ( produc789536734_sc_sz @ A2 @ B2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % curryE
% 0.28/0.66 thf(fact_129_curryD,axiom,
% 0.28/0.66 ! [F2: produc866628903_sc_sz > $o,A2: list_f1238882004_sc_sz,B2: list_f1238882004_sc_sz] :
% 0.28/0.66 ( ( produc880541325c_sz_o @ F2 @ A2 @ B2 )
% 0.28/0.66 => ( F2 @ ( produc1822718231_sc_sz @ A2 @ B2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % curryD
% 0.28/0.66 thf(fact_130_curryD,axiom,
% 0.28/0.66 ! [F2: produc190496183real_c > $o,A2: finite1398487019real_c,B2: finite1398487019real_c] :
% 0.28/0.66 ( ( produc1716060341al_c_o @ F2 @ A2 @ B2 )
% 0.28/0.66 => ( F2 @ ( produc394644079real_c @ A2 @ B2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % curryD
% 0.28/0.66 thf(fact_131_curryD,axiom,
% 0.28/0.66 ! [F2: produc999471430t_unit > $o,A2: produc866628903_sc_sz,B2: denota610675952t_unit] :
% 0.28/0.66 ( ( produc38128778unit_o @ F2 @ A2 @ B2 )
% 0.28/0.66 => ( F2 @ ( produc502616768t_unit @ A2 @ B2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % curryD
% 0.28/0.66 thf(fact_132_curryD,axiom,
% 0.28/0.66 ! [F2: produc640052711real_c > $o,A2: produc190496183real_c,B2: produc190496183real_c] :
% 0.28/0.66 ( ( produc440529997al_c_o @ F2 @ A2 @ B2 )
% 0.28/0.66 => ( F2 @ ( produc1687028567real_c @ A2 @ B2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % curryD
% 0.28/0.66 thf(fact_133_curryD,axiom,
% 0.28/0.66 ! [F2: produc1821101996_sc_sz > $o,A2: denota610675952t_unit,B2: produc866628903_sc_sz] :
% 0.28/0.66 ( ( produc1086673900c_sz_o @ F2 @ A2 @ B2 )
% 0.28/0.66 => ( F2 @ ( produc789536734_sc_sz @ A2 @ B2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % curryD
% 0.28/0.66 thf(fact_134_pair__in__swap__image,axiom,
% 0.28/0.66 ! [Y: list_f1238882004_sc_sz,X: list_f1238882004_sc_sz,A: set_Pr1774599175_sc_sz] :
% 0.28/0.66 ( ( member245028432_sc_sz @ ( produc1822718231_sc_sz @ Y @ X ) @ ( image_1313166277_sc_sz @ produc1145837239_sc_sz @ A ) )
% 0.28/0.66 = ( member245028432_sc_sz @ ( produc1822718231_sc_sz @ X @ Y ) @ A ) ) ).
% 0.28/0.66
% 0.28/0.66 % pair_in_swap_image
% 0.28/0.66 thf(fact_135_pair__in__swap__image,axiom,
% 0.28/0.66 ! [Y: produc190496183real_c,X: produc190496183real_c,A: set_Pr754230471real_c] :
% 0.28/0.66 ( ( member346808080real_c @ ( produc1687028567real_c @ Y @ X ) @ ( image_2041365445real_c @ produc350724343real_c @ A ) )
% 0.28/0.66 = ( member346808080real_c @ ( produc1687028567real_c @ X @ Y ) @ A ) ) ).
% 0.28/0.66
% 0.28/0.66 % pair_in_swap_image
% 0.28/0.66 thf(fact_136_pair__in__swap__image,axiom,
% 0.28/0.66 ! [Y: finite1398487019real_c,X: finite1398487019real_c,A: set_Pr1389752855real_c] :
% 0.28/0.66 ( ( member1895684704real_c @ ( produc394644079real_c @ Y @ X ) @ ( image_738229701real_c @ produc704157711real_c @ A ) )
% 0.28/0.66 = ( member1895684704real_c @ ( produc394644079real_c @ X @ Y ) @ A ) ) ).
% 0.28/0.66
% 0.28/0.66 % pair_in_swap_image
% 0.28/0.66 thf(fact_137_pair__in__swap__image,axiom,
% 0.28/0.66 ! [Y: produc866628903_sc_sz,X: denota610675952t_unit,A: set_Pr1169339874_sc_sz] :
% 0.28/0.66 ( ( member235934813t_unit @ ( produc502616768t_unit @ Y @ X ) @ ( image_904562809t_unit @ produc532048446_sc_sz @ A ) )
% 0.28/0.66 = ( member1057565379_sc_sz @ ( produc789536734_sc_sz @ X @ Y ) @ A ) ) ).
% 0.28/0.66
% 0.28/0.66 % pair_in_swap_image
% 0.28/0.66 thf(fact_138_pair__in__swap__image,axiom,
% 0.28/0.66 ! [Y: denota610675952t_unit,X: produc866628903_sc_sz,A: set_Pr2041213564t_unit] :
% 0.28/0.66 ( ( member1057565379_sc_sz @ ( produc789536734_sc_sz @ Y @ X ) @ ( image_1426741113_sc_sz @ produc245128480t_unit @ A ) )
% 0.28/0.66 = ( member235934813t_unit @ ( produc502616768t_unit @ X @ Y ) @ A ) ) ).
% 0.28/0.66
% 0.28/0.66 % pair_in_swap_image
% 0.28/0.66 thf(fact_139_internal__case__prod__def,axiom,
% 0.28/0.66 produc383750338real_c = produc1575513068real_c ).
% 0.28/0.66
% 0.28/0.66 % internal_case_prod_def
% 0.28/0.66 thf(fact_140_internal__case__prod__def,axiom,
% 0.28/0.66 produc198687651c_sz_o = produc619560141c_sz_o ).
% 0.28/0.66
% 0.28/0.66 % internal_case_prod_def
% 0.28/0.66 thf(fact_141_internal__case__prod__def,axiom,
% 0.28/0.66 produc1894848802real_c = produc237521996real_c ).
% 0.28/0.66
% 0.28/0.66 % internal_case_prod_def
% 0.28/0.66 thf(fact_142_internal__case__prod__def,axiom,
% 0.28/0.66 produc1442549981real_c = produc107375667real_c ).
% 0.28/0.66
% 0.28/0.66 % internal_case_prod_def
% 0.28/0.66 thf(fact_143_internal__case__prod__def,axiom,
% 0.28/0.66 produc2099580355_sc_sz = produc435149849_sc_sz ).
% 0.28/0.66
% 0.28/0.66 % internal_case_prod_def
% 0.28/0.66 thf(fact_144_apsnd__conv,axiom,
% 0.28/0.66 ! [F2: list_f1238882004_sc_sz > list_f1238882004_sc_sz,X: list_f1238882004_sc_sz,Y: list_f1238882004_sc_sz] :
% 0.28/0.66 ( ( produc233219286_sc_sz @ F2 @ ( produc1822718231_sc_sz @ X @ Y ) )
% 0.28/0.66 = ( produc1822718231_sc_sz @ X @ ( F2 @ Y ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % apsnd_conv
% 0.28/0.66 thf(fact_145_apsnd__conv,axiom,
% 0.28/0.66 ! [F2: finite1398487019real_c > finite1398487019real_c,X: finite1398487019real_c,Y: finite1398487019real_c] :
% 0.28/0.66 ( ( produc981295297real_c @ F2 @ ( produc394644079real_c @ X @ Y ) )
% 0.28/0.66 = ( produc394644079real_c @ X @ ( F2 @ Y ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % apsnd_conv
% 0.28/0.66 thf(fact_146_apsnd__conv,axiom,
% 0.28/0.66 ! [F2: denota610675952t_unit > denota610675952t_unit,X: produc866628903_sc_sz,Y: denota610675952t_unit] :
% 0.28/0.66 ( ( produc793407943_sc_sz @ F2 @ ( produc502616768t_unit @ X @ Y ) )
% 0.28/0.66 = ( produc502616768t_unit @ X @ ( F2 @ Y ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % apsnd_conv
% 0.28/0.66 thf(fact_147_apsnd__conv,axiom,
% 0.28/0.66 ! [F2: produc190496183real_c > produc190496183real_c,X: produc190496183real_c,Y: produc190496183real_c] :
% 0.28/0.66 ( ( produc2089853305real_c @ F2 @ ( produc1687028567real_c @ X @ Y ) )
% 0.28/0.66 = ( produc1687028567real_c @ X @ ( F2 @ Y ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % apsnd_conv
% 0.28/0.66 thf(fact_148_apsnd__conv,axiom,
% 0.28/0.66 ! [F2: produc866628903_sc_sz > produc866628903_sc_sz,X: denota610675952t_unit,Y: produc866628903_sc_sz] :
% 0.28/0.66 ( ( produc1959054510t_unit @ F2 @ ( produc789536734_sc_sz @ X @ Y ) )
% 0.28/0.66 = ( produc789536734_sc_sz @ X @ ( F2 @ Y ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % apsnd_conv
% 0.28/0.66 thf(fact_149_mem__case__prodI2,axiom,
% 0.28/0.66 ! [P2: produc1821101996_sc_sz,Z: produc190496183real_c,C2: denota610675952t_unit > produc866628903_sc_sz > set_Pr1389752855real_c] :
% 0.28/0.66 ( ! [A4: denota610675952t_unit,B4: produc866628903_sc_sz] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc789536734_sc_sz @ A4 @ B4 ) )
% 0.28/0.66 => ( member1895684704real_c @ Z @ ( C2 @ A4 @ B4 ) ) )
% 0.28/0.66 => ( member1895684704real_c @ Z @ ( produc237521996real_c @ C2 @ P2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodI2
% 0.28/0.66 thf(fact_150_mem__case__prodI2,axiom,
% 0.28/0.66 ! [P2: produc190496183real_c,Z: finite1398487019real_c,C2: finite1398487019real_c > finite1398487019real_c > set_Fi1407883041real_c] :
% 0.28/0.66 ( ! [A4: finite1398487019real_c,B4: finite1398487019real_c] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc394644079real_c @ A4 @ B4 ) )
% 0.28/0.66 => ( member1261661570real_c @ Z @ ( C2 @ A4 @ B4 ) ) )
% 0.28/0.66 => ( member1261661570real_c @ Z @ ( produc29022117real_c @ C2 @ P2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodI2
% 0.28/0.66 thf(fact_151_mem__case__prodI2,axiom,
% 0.28/0.66 ! [P2: produc866628903_sc_sz,Z: finite1398487019real_c,C2: list_f1238882004_sc_sz > list_f1238882004_sc_sz > set_Fi1407883041real_c] :
% 0.28/0.66 ( ! [A4: list_f1238882004_sc_sz,B4: list_f1238882004_sc_sz] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc1822718231_sc_sz @ A4 @ B4 ) )
% 0.28/0.66 => ( member1261661570real_c @ Z @ ( C2 @ A4 @ B4 ) ) )
% 0.28/0.66 => ( member1261661570real_c @ Z @ ( produc1449736269real_c @ C2 @ P2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodI2
% 0.28/0.66 thf(fact_152_mem__case__prodI2,axiom,
% 0.28/0.66 ! [P2: produc190496183real_c,Z: produc190496183real_c,C2: finite1398487019real_c > finite1398487019real_c > set_Pr1389752855real_c] :
% 0.28/0.66 ( ! [A4: finite1398487019real_c,B4: finite1398487019real_c] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc394644079real_c @ A4 @ B4 ) )
% 0.28/0.66 => ( member1895684704real_c @ Z @ ( C2 @ A4 @ B4 ) ) )
% 0.28/0.66 => ( member1895684704real_c @ Z @ ( produc923381907real_c @ C2 @ P2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodI2
% 0.28/0.66 thf(fact_153_mem__case__prodI2,axiom,
% 0.28/0.66 ! [P2: produc866628903_sc_sz,Z: produc190496183real_c,C2: list_f1238882004_sc_sz > list_f1238882004_sc_sz > set_Pr1389752855real_c] :
% 0.28/0.66 ( ! [A4: list_f1238882004_sc_sz,B4: list_f1238882004_sc_sz] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc1822718231_sc_sz @ A4 @ B4 ) )
% 0.28/0.66 => ( member1895684704real_c @ Z @ ( C2 @ A4 @ B4 ) ) )
% 0.28/0.66 => ( member1895684704real_c @ Z @ ( produc6841835real_c @ C2 @ P2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodI2
% 0.28/0.66 thf(fact_154_mem__case__prodI2,axiom,
% 0.28/0.66 ! [P2: produc190496183real_c,Z: produc866628903_sc_sz,C2: finite1398487019real_c > finite1398487019real_c > set_Pr1774599175_sc_sz] :
% 0.28/0.66 ( ! [A4: finite1398487019real_c,B4: finite1398487019real_c] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc394644079real_c @ A4 @ B4 ) )
% 0.28/0.66 => ( member245028432_sc_sz @ Z @ ( C2 @ A4 @ B4 ) ) )
% 0.28/0.66 => ( member245028432_sc_sz @ Z @ ( produc642283651_sc_sz @ C2 @ P2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodI2
% 0.28/0.66 thf(fact_155_mem__case__prodI2,axiom,
% 0.28/0.66 ! [P2: produc640052711real_c,Z: finite1398487019real_c,C2: produc190496183real_c > produc190496183real_c > set_Fi1407883041real_c] :
% 0.28/0.66 ( ! [A4: produc190496183real_c,B4: produc190496183real_c] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc1687028567real_c @ A4 @ B4 ) )
% 0.28/0.66 => ( member1261661570real_c @ Z @ ( C2 @ A4 @ B4 ) ) )
% 0.28/0.66 => ( member1261661570real_c @ Z @ ( produc1066779277real_c @ C2 @ P2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodI2
% 0.28/0.66 thf(fact_156_mem__case__prodI2,axiom,
% 0.28/0.66 ! [P2: produc1821101996_sc_sz,Z: finite1398487019real_c,C2: denota610675952t_unit > produc866628903_sc_sz > set_Fi1407883041real_c] :
% 0.28/0.66 ( ! [A4: denota610675952t_unit,B4: produc866628903_sc_sz] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc789536734_sc_sz @ A4 @ B4 ) )
% 0.28/0.66 => ( member1261661570real_c @ Z @ ( C2 @ A4 @ B4 ) ) )
% 0.28/0.66 => ( member1261661570real_c @ Z @ ( produc2068697644real_c @ C2 @ P2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodI2
% 0.28/0.66 thf(fact_157_mem__case__prodI2,axiom,
% 0.28/0.66 ! [P2: produc999471430t_unit,Z: finite1398487019real_c,C2: produc866628903_sc_sz > denota610675952t_unit > set_Fi1407883041real_c] :
% 0.28/0.66 ( ! [A4: produc866628903_sc_sz,B4: denota610675952t_unit] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc502616768t_unit @ A4 @ B4 ) )
% 0.28/0.66 => ( member1261661570real_c @ Z @ ( C2 @ A4 @ B4 ) ) )
% 0.28/0.66 => ( member1261661570real_c @ Z @ ( produc1368849166real_c @ C2 @ P2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodI2
% 0.28/0.66 thf(fact_158_mem__case__prodI2,axiom,
% 0.28/0.66 ! [P2: produc866628903_sc_sz,Z: produc866628903_sc_sz,C2: list_f1238882004_sc_sz > list_f1238882004_sc_sz > set_Pr1774599175_sc_sz] :
% 0.28/0.66 ( ! [A4: list_f1238882004_sc_sz,B4: list_f1238882004_sc_sz] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc1822718231_sc_sz @ A4 @ B4 ) )
% 0.28/0.66 => ( member245028432_sc_sz @ Z @ ( C2 @ A4 @ B4 ) ) )
% 0.28/0.66 => ( member245028432_sc_sz @ Z @ ( produc1563580891_sc_sz @ C2 @ P2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodI2
% 0.28/0.66 thf(fact_159_mem__case__prodI,axiom,
% 0.28/0.66 ! [Z: produc190496183real_c,C2: denota610675952t_unit > produc866628903_sc_sz > set_Pr1389752855real_c,A2: denota610675952t_unit,B2: produc866628903_sc_sz] :
% 0.28/0.66 ( ( member1895684704real_c @ Z @ ( C2 @ A2 @ B2 ) )
% 0.28/0.66 => ( member1895684704real_c @ Z @ ( produc237521996real_c @ C2 @ ( produc789536734_sc_sz @ A2 @ B2 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodI
% 0.28/0.66 thf(fact_160_mem__case__prodI,axiom,
% 0.28/0.66 ! [Z: finite1398487019real_c,C2: finite1398487019real_c > finite1398487019real_c > set_Fi1407883041real_c,A2: finite1398487019real_c,B2: finite1398487019real_c] :
% 0.28/0.66 ( ( member1261661570real_c @ Z @ ( C2 @ A2 @ B2 ) )
% 0.28/0.66 => ( member1261661570real_c @ Z @ ( produc29022117real_c @ C2 @ ( produc394644079real_c @ A2 @ B2 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodI
% 0.28/0.66 thf(fact_161_mem__case__prodI,axiom,
% 0.28/0.66 ! [Z: finite1398487019real_c,C2: list_f1238882004_sc_sz > list_f1238882004_sc_sz > set_Fi1407883041real_c,A2: list_f1238882004_sc_sz,B2: list_f1238882004_sc_sz] :
% 0.28/0.66 ( ( member1261661570real_c @ Z @ ( C2 @ A2 @ B2 ) )
% 0.28/0.66 => ( member1261661570real_c @ Z @ ( produc1449736269real_c @ C2 @ ( produc1822718231_sc_sz @ A2 @ B2 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodI
% 0.28/0.66 thf(fact_162_mem__case__prodI,axiom,
% 0.28/0.66 ! [Z: produc190496183real_c,C2: finite1398487019real_c > finite1398487019real_c > set_Pr1389752855real_c,A2: finite1398487019real_c,B2: finite1398487019real_c] :
% 0.28/0.66 ( ( member1895684704real_c @ Z @ ( C2 @ A2 @ B2 ) )
% 0.28/0.66 => ( member1895684704real_c @ Z @ ( produc923381907real_c @ C2 @ ( produc394644079real_c @ A2 @ B2 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodI
% 0.28/0.66 thf(fact_163_mem__case__prodI,axiom,
% 0.28/0.66 ! [Z: produc190496183real_c,C2: list_f1238882004_sc_sz > list_f1238882004_sc_sz > set_Pr1389752855real_c,A2: list_f1238882004_sc_sz,B2: list_f1238882004_sc_sz] :
% 0.28/0.66 ( ( member1895684704real_c @ Z @ ( C2 @ A2 @ B2 ) )
% 0.28/0.66 => ( member1895684704real_c @ Z @ ( produc6841835real_c @ C2 @ ( produc1822718231_sc_sz @ A2 @ B2 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodI
% 0.28/0.66 thf(fact_164_mem__case__prodI,axiom,
% 0.28/0.66 ! [Z: produc866628903_sc_sz,C2: finite1398487019real_c > finite1398487019real_c > set_Pr1774599175_sc_sz,A2: finite1398487019real_c,B2: finite1398487019real_c] :
% 0.28/0.66 ( ( member245028432_sc_sz @ Z @ ( C2 @ A2 @ B2 ) )
% 0.28/0.66 => ( member245028432_sc_sz @ Z @ ( produc642283651_sc_sz @ C2 @ ( produc394644079real_c @ A2 @ B2 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodI
% 0.28/0.66 thf(fact_165_mem__case__prodI,axiom,
% 0.28/0.66 ! [Z: finite1398487019real_c,C2: produc190496183real_c > produc190496183real_c > set_Fi1407883041real_c,A2: produc190496183real_c,B2: produc190496183real_c] :
% 0.28/0.66 ( ( member1261661570real_c @ Z @ ( C2 @ A2 @ B2 ) )
% 0.28/0.66 => ( member1261661570real_c @ Z @ ( produc1066779277real_c @ C2 @ ( produc1687028567real_c @ A2 @ B2 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodI
% 0.28/0.66 thf(fact_166_mem__case__prodI,axiom,
% 0.28/0.66 ! [Z: finite1398487019real_c,C2: denota610675952t_unit > produc866628903_sc_sz > set_Fi1407883041real_c,A2: denota610675952t_unit,B2: produc866628903_sc_sz] :
% 0.28/0.66 ( ( member1261661570real_c @ Z @ ( C2 @ A2 @ B2 ) )
% 0.28/0.66 => ( member1261661570real_c @ Z @ ( produc2068697644real_c @ C2 @ ( produc789536734_sc_sz @ A2 @ B2 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodI
% 0.28/0.66 thf(fact_167_mem__case__prodI,axiom,
% 0.28/0.66 ! [Z: finite1398487019real_c,C2: produc866628903_sc_sz > denota610675952t_unit > set_Fi1407883041real_c,A2: produc866628903_sc_sz,B2: denota610675952t_unit] :
% 0.28/0.66 ( ( member1261661570real_c @ Z @ ( C2 @ A2 @ B2 ) )
% 0.28/0.66 => ( member1261661570real_c @ Z @ ( produc1368849166real_c @ C2 @ ( produc502616768t_unit @ A2 @ B2 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodI
% 0.28/0.66 thf(fact_168_mem__case__prodI,axiom,
% 0.28/0.66 ! [Z: produc866628903_sc_sz,C2: list_f1238882004_sc_sz > list_f1238882004_sc_sz > set_Pr1774599175_sc_sz,A2: list_f1238882004_sc_sz,B2: list_f1238882004_sc_sz] :
% 0.28/0.66 ( ( member245028432_sc_sz @ Z @ ( C2 @ A2 @ B2 ) )
% 0.28/0.66 => ( member245028432_sc_sz @ Z @ ( produc1563580891_sc_sz @ C2 @ ( produc1822718231_sc_sz @ A2 @ B2 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodI
% 0.28/0.66 thf(fact_169_case__prodI2,axiom,
% 0.28/0.66 ! [P2: produc866628903_sc_sz,C2: list_f1238882004_sc_sz > list_f1238882004_sc_sz > $o] :
% 0.28/0.66 ( ! [A4: list_f1238882004_sc_sz,B4: list_f1238882004_sc_sz] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc1822718231_sc_sz @ A4 @ B4 ) )
% 0.28/0.66 => ( C2 @ A4 @ B4 ) )
% 0.28/0.66 => ( produc2039065452c_sz_o @ C2 @ P2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prodI2
% 0.28/0.66 thf(fact_170_case__prodI2,axiom,
% 0.28/0.66 ! [P2: produc190496183real_c,C2: finite1398487019real_c > finite1398487019real_c > $o] :
% 0.28/0.66 ( ! [A4: finite1398487019real_c,B4: finite1398487019real_c] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc394644079real_c @ A4 @ B4 ) )
% 0.28/0.66 => ( C2 @ A4 @ B4 ) )
% 0.28/0.66 => ( produc353381908al_c_o @ C2 @ P2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prodI2
% 0.28/0.66 thf(fact_171_case__prodI2,axiom,
% 0.28/0.66 ! [P2: produc999471430t_unit,C2: produc866628903_sc_sz > denota610675952t_unit > $o] :
% 0.28/0.66 ( ! [A4: produc866628903_sc_sz,B4: denota610675952t_unit] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc502616768t_unit @ A4 @ B4 ) )
% 0.28/0.66 => ( C2 @ A4 @ B4 ) )
% 0.28/0.66 => ( produc1718498667unit_o @ C2 @ P2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prodI2
% 0.28/0.66 thf(fact_172_case__prodI2,axiom,
% 0.28/0.66 ! [P2: produc640052711real_c,C2: produc190496183real_c > produc190496183real_c > $o] :
% 0.28/0.66 ( ! [A4: produc190496183real_c,B4: produc190496183real_c] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc1687028567real_c @ A4 @ B4 ) )
% 0.28/0.66 => ( C2 @ A4 @ B4 ) )
% 0.28/0.66 => ( produc1726730540al_c_o @ C2 @ P2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prodI2
% 0.28/0.66 thf(fact_173_case__prodI2,axiom,
% 0.28/0.66 ! [P2: produc1821101996_sc_sz,C2: denota610675952t_unit > produc866628903_sc_sz > $o] :
% 0.28/0.66 ( ! [A4: denota610675952t_unit,B4: produc866628903_sc_sz] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc789536734_sc_sz @ A4 @ B4 ) )
% 0.28/0.66 => ( C2 @ A4 @ B4 ) )
% 0.28/0.66 => ( produc619560141c_sz_o @ C2 @ P2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prodI2
% 0.28/0.66 thf(fact_174_case__prodI,axiom,
% 0.28/0.66 ! [F2: list_f1238882004_sc_sz > list_f1238882004_sc_sz > $o,A2: list_f1238882004_sc_sz,B2: list_f1238882004_sc_sz] :
% 0.28/0.66 ( ( F2 @ A2 @ B2 )
% 0.28/0.66 => ( produc2039065452c_sz_o @ F2 @ ( produc1822718231_sc_sz @ A2 @ B2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prodI
% 0.28/0.66 thf(fact_175_case__prodI,axiom,
% 0.28/0.66 ! [F2: finite1398487019real_c > finite1398487019real_c > $o,A2: finite1398487019real_c,B2: finite1398487019real_c] :
% 0.28/0.66 ( ( F2 @ A2 @ B2 )
% 0.28/0.66 => ( produc353381908al_c_o @ F2 @ ( produc394644079real_c @ A2 @ B2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prodI
% 0.28/0.66 thf(fact_176_case__prodI,axiom,
% 0.28/0.66 ! [F2: produc866628903_sc_sz > denota610675952t_unit > $o,A2: produc866628903_sc_sz,B2: denota610675952t_unit] :
% 0.28/0.66 ( ( F2 @ A2 @ B2 )
% 0.28/0.66 => ( produc1718498667unit_o @ F2 @ ( produc502616768t_unit @ A2 @ B2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prodI
% 0.28/0.66 thf(fact_177_case__prodI,axiom,
% 0.28/0.66 ! [F2: produc190496183real_c > produc190496183real_c > $o,A2: produc190496183real_c,B2: produc190496183real_c] :
% 0.28/0.66 ( ( F2 @ A2 @ B2 )
% 0.28/0.66 => ( produc1726730540al_c_o @ F2 @ ( produc1687028567real_c @ A2 @ B2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prodI
% 0.28/0.66 thf(fact_178_case__prodI,axiom,
% 0.28/0.66 ! [F2: denota610675952t_unit > produc866628903_sc_sz > $o,A2: denota610675952t_unit,B2: produc866628903_sc_sz] :
% 0.28/0.66 ( ( F2 @ A2 @ B2 )
% 0.28/0.66 => ( produc619560141c_sz_o @ F2 @ ( produc789536734_sc_sz @ A2 @ B2 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prodI
% 0.28/0.66 thf(fact_179_case__prod__conv,axiom,
% 0.28/0.66 ! [F2: denota610675952t_unit > produc866628903_sc_sz > produc190496183real_c,A2: denota610675952t_unit,B2: produc866628903_sc_sz] :
% 0.28/0.66 ( ( produc1575513068real_c @ F2 @ ( produc789536734_sc_sz @ A2 @ B2 ) )
% 0.28/0.66 = ( F2 @ A2 @ B2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prod_conv
% 0.28/0.66 thf(fact_180_case__prod__conv,axiom,
% 0.28/0.66 ! [F2: denota610675952t_unit > produc866628903_sc_sz > $o,A2: denota610675952t_unit,B2: produc866628903_sc_sz] :
% 0.28/0.66 ( ( produc619560141c_sz_o @ F2 @ ( produc789536734_sc_sz @ A2 @ B2 ) )
% 0.28/0.66 = ( F2 @ A2 @ B2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prod_conv
% 0.28/0.66 thf(fact_181_case__prod__conv,axiom,
% 0.28/0.66 ! [F2: denota610675952t_unit > produc866628903_sc_sz > set_Pr1389752855real_c,A2: denota610675952t_unit,B2: produc866628903_sc_sz] :
% 0.28/0.66 ( ( produc237521996real_c @ F2 @ ( produc789536734_sc_sz @ A2 @ B2 ) )
% 0.28/0.66 = ( F2 @ A2 @ B2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prod_conv
% 0.28/0.66 thf(fact_182_case__prod__conv,axiom,
% 0.28/0.66 ! [F2: finite1398487019real_c > finite1398487019real_c > produc190496183real_c,A2: finite1398487019real_c,B2: finite1398487019real_c] :
% 0.28/0.66 ( ( produc107375667real_c @ F2 @ ( produc394644079real_c @ A2 @ B2 ) )
% 0.28/0.66 = ( F2 @ A2 @ B2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prod_conv
% 0.28/0.66 thf(fact_183_case__prod__conv,axiom,
% 0.28/0.66 ! [F2: produc866628903_sc_sz > denota610675952t_unit > produc1821101996_sc_sz,A2: produc866628903_sc_sz,B2: denota610675952t_unit] :
% 0.28/0.66 ( ( produc435149849_sc_sz @ F2 @ ( produc502616768t_unit @ A2 @ B2 ) )
% 0.28/0.66 = ( F2 @ A2 @ B2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prod_conv
% 0.28/0.66 thf(fact_184_curry__case__prod,axiom,
% 0.28/0.66 ! [F2: denota610675952t_unit > produc866628903_sc_sz > produc190496183real_c] :
% 0.28/0.66 ( ( produc753314315real_c @ ( produc1575513068real_c @ F2 ) )
% 0.28/0.66 = F2 ) ).
% 0.28/0.66
% 0.28/0.66 % curry_case_prod
% 0.28/0.66 thf(fact_185_curry__case__prod,axiom,
% 0.28/0.66 ! [F2: denota610675952t_unit > produc866628903_sc_sz > $o] :
% 0.28/0.66 ( ( produc1086673900c_sz_o @ ( produc619560141c_sz_o @ F2 ) )
% 0.28/0.66 = F2 ) ).
% 0.28/0.66
% 0.28/0.66 % curry_case_prod
% 0.28/0.66 thf(fact_186_curry__case__prod,axiom,
% 0.28/0.66 ! [F2: denota610675952t_unit > produc866628903_sc_sz > set_Pr1389752855real_c] :
% 0.28/0.66 ( ( produc1827049067real_c @ ( produc237521996real_c @ F2 ) )
% 0.28/0.66 = F2 ) ).
% 0.28/0.66
% 0.28/0.66 % curry_case_prod
% 0.28/0.66 thf(fact_187_curry__case__prod,axiom,
% 0.28/0.66 ! [F2: finite1398487019real_c > finite1398487019real_c > produc190496183real_c] :
% 0.28/0.66 ( ( produc1119115220real_c @ ( produc107375667real_c @ F2 ) )
% 0.28/0.66 = F2 ) ).
% 0.28/0.66
% 0.28/0.66 % curry_case_prod
% 0.28/0.66 thf(fact_188_curry__case__prod,axiom,
% 0.28/0.66 ! [F2: produc866628903_sc_sz > denota610675952t_unit > produc1821101996_sc_sz] :
% 0.28/0.66 ( ( produc295339066_sc_sz @ ( produc435149849_sc_sz @ F2 ) )
% 0.28/0.66 = F2 ) ).
% 0.28/0.66
% 0.28/0.66 % curry_case_prod
% 0.28/0.66 thf(fact_189_case__prod__curry,axiom,
% 0.28/0.66 ! [F2: produc1821101996_sc_sz > produc190496183real_c] :
% 0.28/0.66 ( ( produc1575513068real_c @ ( produc753314315real_c @ F2 ) )
% 0.28/0.66 = F2 ) ).
% 0.28/0.66
% 0.28/0.66 % case_prod_curry
% 0.28/0.66 thf(fact_190_case__prod__curry,axiom,
% 0.28/0.66 ! [F2: produc1821101996_sc_sz > $o] :
% 0.28/0.66 ( ( produc619560141c_sz_o @ ( produc1086673900c_sz_o @ F2 ) )
% 0.28/0.66 = F2 ) ).
% 0.28/0.66
% 0.28/0.66 % case_prod_curry
% 0.28/0.66 thf(fact_191_case__prod__curry,axiom,
% 0.28/0.66 ! [F2: produc1821101996_sc_sz > set_Pr1389752855real_c] :
% 0.28/0.66 ( ( produc237521996real_c @ ( produc1827049067real_c @ F2 ) )
% 0.28/0.66 = F2 ) ).
% 0.28/0.66
% 0.28/0.66 % case_prod_curry
% 0.28/0.66 thf(fact_192_case__prod__curry,axiom,
% 0.28/0.66 ! [F2: produc190496183real_c > produc190496183real_c] :
% 0.28/0.66 ( ( produc107375667real_c @ ( produc1119115220real_c @ F2 ) )
% 0.28/0.66 = F2 ) ).
% 0.28/0.66
% 0.28/0.66 % case_prod_curry
% 0.28/0.66 thf(fact_193_case__prod__curry,axiom,
% 0.28/0.66 ! [F2: produc999471430t_unit > produc1821101996_sc_sz] :
% 0.28/0.66 ( ( produc435149849_sc_sz @ ( produc295339066_sc_sz @ F2 ) )
% 0.28/0.66 = F2 ) ).
% 0.28/0.66
% 0.28/0.66 % case_prod_curry
% 0.28/0.66 thf(fact_194_case__swap,axiom,
% 0.28/0.66 ! [F2: denota610675952t_unit > produc866628903_sc_sz > produc190496183real_c,P2: produc1821101996_sc_sz] :
% 0.28/0.66 ( ( produc645763722real_c
% 0.28/0.66 @ ^ [Y4: produc866628903_sc_sz,X4: denota610675952t_unit] : ( F2 @ X4 @ Y4 )
% 0.28/0.66 @ ( produc532048446_sc_sz @ P2 ) )
% 0.28/0.66 = ( produc1575513068real_c @ F2 @ P2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_swap
% 0.28/0.66 thf(fact_195_case__swap,axiom,
% 0.28/0.66 ! [F2: denota610675952t_unit > produc866628903_sc_sz > $o,P2: produc1821101996_sc_sz] :
% 0.28/0.66 ( ( produc1718498667unit_o
% 0.28/0.66 @ ^ [Y4: produc866628903_sc_sz,X4: denota610675952t_unit] : ( F2 @ X4 @ Y4 )
% 0.28/0.66 @ ( produc532048446_sc_sz @ P2 ) )
% 0.28/0.66 = ( produc619560141c_sz_o @ F2 @ P2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_swap
% 0.28/0.66 thf(fact_196_case__swap,axiom,
% 0.28/0.66 ! [F2: denota610675952t_unit > produc866628903_sc_sz > set_Pr1389752855real_c,P2: produc1821101996_sc_sz] :
% 0.28/0.66 ( ( produc593754858real_c
% 0.28/0.66 @ ^ [Y4: produc866628903_sc_sz,X4: denota610675952t_unit] : ( F2 @ X4 @ Y4 )
% 0.28/0.66 @ ( produc532048446_sc_sz @ P2 ) )
% 0.28/0.66 = ( produc237521996real_c @ F2 @ P2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_swap
% 0.28/0.66 thf(fact_197_case__swap,axiom,
% 0.28/0.66 ! [F2: produc866628903_sc_sz > denota610675952t_unit > produc1821101996_sc_sz,P2: produc999471430t_unit] :
% 0.28/0.66 ( ( produc448466487_sc_sz
% 0.28/0.66 @ ^ [Y4: denota610675952t_unit,X4: produc866628903_sc_sz] : ( F2 @ X4 @ Y4 )
% 0.28/0.66 @ ( produc245128480t_unit @ P2 ) )
% 0.28/0.66 = ( produc435149849_sc_sz @ F2 @ P2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_swap
% 0.28/0.66 thf(fact_198_case__swap,axiom,
% 0.28/0.66 ! [F2: produc866628903_sc_sz > denota610675952t_unit > produc190496183real_c,P2: produc999471430t_unit] :
% 0.28/0.66 ( ( produc1575513068real_c
% 0.28/0.66 @ ^ [Y4: denota610675952t_unit,X4: produc866628903_sc_sz] : ( F2 @ X4 @ Y4 )
% 0.28/0.66 @ ( produc245128480t_unit @ P2 ) )
% 0.28/0.66 = ( produc645763722real_c @ F2 @ P2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_swap
% 0.28/0.66 thf(fact_199_case__swap,axiom,
% 0.28/0.66 ! [F2: produc866628903_sc_sz > denota610675952t_unit > $o,P2: produc999471430t_unit] :
% 0.28/0.66 ( ( produc619560141c_sz_o
% 0.28/0.66 @ ^ [Y4: denota610675952t_unit,X4: produc866628903_sc_sz] : ( F2 @ X4 @ Y4 )
% 0.28/0.66 @ ( produc245128480t_unit @ P2 ) )
% 0.28/0.66 = ( produc1718498667unit_o @ F2 @ P2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_swap
% 0.28/0.66 thf(fact_200_case__swap,axiom,
% 0.28/0.66 ! [F2: produc866628903_sc_sz > denota610675952t_unit > set_Pr1389752855real_c,P2: produc999471430t_unit] :
% 0.28/0.66 ( ( produc237521996real_c
% 0.28/0.66 @ ^ [Y4: denota610675952t_unit,X4: produc866628903_sc_sz] : ( F2 @ X4 @ Y4 )
% 0.28/0.66 @ ( produc245128480t_unit @ P2 ) )
% 0.28/0.66 = ( produc593754858real_c @ F2 @ P2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_swap
% 0.28/0.66 thf(fact_201_case__swap,axiom,
% 0.28/0.66 ! [F2: finite1398487019real_c > finite1398487019real_c > produc190496183real_c,P2: produc190496183real_c] :
% 0.28/0.66 ( ( produc107375667real_c
% 0.28/0.66 @ ^ [Y4: finite1398487019real_c,X4: finite1398487019real_c] : ( F2 @ X4 @ Y4 )
% 0.28/0.66 @ ( produc704157711real_c @ P2 ) )
% 0.28/0.66 = ( produc107375667real_c @ F2 @ P2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_swap
% 0.28/0.66 thf(fact_202_case__swap,axiom,
% 0.28/0.66 ! [F2: denota610675952t_unit > produc866628903_sc_sz > produc1821101996_sc_sz,P2: produc1821101996_sc_sz] :
% 0.28/0.66 ( ( produc435149849_sc_sz
% 0.28/0.66 @ ^ [Y4: produc866628903_sc_sz,X4: denota610675952t_unit] : ( F2 @ X4 @ Y4 )
% 0.28/0.66 @ ( produc532048446_sc_sz @ P2 ) )
% 0.28/0.66 = ( produc448466487_sc_sz @ F2 @ P2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_swap
% 0.28/0.66 thf(fact_203_pair__imageI,axiom,
% 0.28/0.66 ! [A2: finite1398487019real_c,B2: finite1398487019real_c,A: set_Pr1389752855real_c,F2: finite1398487019real_c > finite1398487019real_c > produc190496183real_c] :
% 0.28/0.66 ( ( member1895684704real_c @ ( produc394644079real_c @ A2 @ B2 ) @ A )
% 0.28/0.66 => ( member1895684704real_c @ ( F2 @ A2 @ B2 ) @ ( image_738229701real_c @ ( produc107375667real_c @ F2 ) @ A ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % pair_imageI
% 0.28/0.66 thf(fact_204_pair__imageI,axiom,
% 0.28/0.66 ! [A2: denota610675952t_unit,B2: produc866628903_sc_sz,A: set_Pr1169339874_sc_sz,F2: denota610675952t_unit > produc866628903_sc_sz > produc190496183real_c] :
% 0.28/0.66 ( ( member1057565379_sc_sz @ ( produc789536734_sc_sz @ A2 @ B2 ) @ A )
% 0.28/0.66 => ( member1895684704real_c @ ( F2 @ A2 @ B2 ) @ ( image_386905412real_c @ ( produc1575513068real_c @ F2 ) @ A ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % pair_imageI
% 0.28/0.66 thf(fact_205_pair__imageI,axiom,
% 0.28/0.66 ! [A2: finite1398487019real_c,B2: finite1398487019real_c,A: set_Pr1389752855real_c,F2: finite1398487019real_c > finite1398487019real_c > finite1398487019real_c] :
% 0.28/0.66 ( ( member1895684704real_c @ ( produc394644079real_c @ A2 @ B2 ) @ A )
% 0.28/0.66 => ( member1261661570real_c @ ( F2 @ A2 @ B2 ) @ ( image_14429021real_c @ ( produc567249007real_c @ F2 ) @ A ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % pair_imageI
% 0.28/0.66 thf(fact_206_pair__imageI,axiom,
% 0.28/0.66 ! [A2: list_f1238882004_sc_sz,B2: list_f1238882004_sc_sz,A: set_Pr1774599175_sc_sz,F2: list_f1238882004_sc_sz > list_f1238882004_sc_sz > finite1398487019real_c] :
% 0.28/0.66 ( ( member245028432_sc_sz @ ( produc1822718231_sc_sz @ A2 @ B2 ) @ A )
% 0.28/0.66 => ( member1261661570real_c @ ( F2 @ A2 @ B2 ) @ ( image_1332486093real_c @ ( produc236226839real_c @ F2 ) @ A ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % pair_imageI
% 0.28/0.66 thf(fact_207_pair__imageI,axiom,
% 0.28/0.66 ! [A2: list_f1238882004_sc_sz,B2: list_f1238882004_sc_sz,A: set_Pr1774599175_sc_sz,F2: list_f1238882004_sc_sz > list_f1238882004_sc_sz > produc190496183real_c] :
% 0.28/0.66 ( ( member245028432_sc_sz @ ( produc1822718231_sc_sz @ A2 @ B2 ) @ A )
% 0.28/0.66 => ( member1895684704real_c @ ( F2 @ A2 @ B2 ) @ ( image_1121381717real_c @ ( produc126255499real_c @ F2 ) @ A ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % pair_imageI
% 0.28/0.66 thf(fact_208_pair__imageI,axiom,
% 0.28/0.66 ! [A2: finite1398487019real_c,B2: finite1398487019real_c,A: set_Pr1389752855real_c,F2: finite1398487019real_c > finite1398487019real_c > produc866628903_sc_sz] :
% 0.28/0.66 ( ( member1895684704real_c @ ( produc394644079real_c @ A2 @ B2 ) @ A )
% 0.28/0.66 => ( member245028432_sc_sz @ ( F2 @ A2 @ B2 ) @ ( image_388766773_sc_sz @ ( produc1341776291_sc_sz @ F2 ) @ A ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % pair_imageI
% 0.28/0.66 thf(fact_209_pair__imageI,axiom,
% 0.28/0.66 ! [A2: produc190496183real_c,B2: produc190496183real_c,A: set_Pr754230471real_c,F2: produc190496183real_c > produc190496183real_c > finite1398487019real_c] :
% 0.28/0.66 ( ( member346808080real_c @ ( produc1687028567real_c @ A2 @ B2 ) @ A )
% 0.28/0.66 => ( member1261661570real_c @ ( F2 @ A2 @ B2 ) @ ( image_124598413real_c @ ( produc344593239real_c @ F2 ) @ A ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % pair_imageI
% 0.28/0.66 thf(fact_210_pair__imageI,axiom,
% 0.28/0.66 ! [A2: denota610675952t_unit,B2: produc866628903_sc_sz,A: set_Pr1169339874_sc_sz,F2: denota610675952t_unit > produc866628903_sc_sz > $o] :
% 0.28/0.66 ( ( member1057565379_sc_sz @ ( produc789536734_sc_sz @ A2 @ B2 ) @ A )
% 0.28/0.66 => ( member_o @ ( F2 @ A2 @ B2 ) @ ( image_1641704997c_sz_o @ ( produc619560141c_sz_o @ F2 ) @ A ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % pair_imageI
% 0.28/0.66 thf(fact_211_pair__imageI,axiom,
% 0.28/0.66 ! [A2: denota610675952t_unit,B2: produc866628903_sc_sz,A: set_Pr1169339874_sc_sz,F2: denota610675952t_unit > produc866628903_sc_sz > finite1398487019real_c] :
% 0.28/0.66 ( ( member1057565379_sc_sz @ ( produc789536734_sc_sz @ A2 @ B2 ) @ A )
% 0.28/0.66 => ( member1261661570real_c @ ( F2 @ A2 @ B2 ) @ ( image_1268968350real_c @ ( produc1920474870real_c @ F2 ) @ A ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % pair_imageI
% 0.28/0.66 thf(fact_212_pair__imageI,axiom,
% 0.28/0.66 ! [A2: produc866628903_sc_sz,B2: denota610675952t_unit,A: set_Pr2041213564t_unit,F2: produc866628903_sc_sz > denota610675952t_unit > finite1398487019real_c] :
% 0.28/0.66 ( ( member235934813t_unit @ ( produc502616768t_unit @ A2 @ B2 ) @ A )
% 0.28/0.66 => ( member1261661570real_c @ ( F2 @ A2 @ B2 ) @ ( image_1269062456real_c @ ( produc1753599960real_c @ F2 ) @ A ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % pair_imageI
% 0.28/0.66 thf(fact_213_curry__def,axiom,
% 0.28/0.66 ( produc1086673900c_sz_o
% 0.28/0.66 = ( ^ [C3: produc1821101996_sc_sz > $o,X4: denota610675952t_unit,Y4: produc866628903_sc_sz] : ( C3 @ ( produc789536734_sc_sz @ X4 @ Y4 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % curry_def
% 0.28/0.66 thf(fact_214_curry__K,axiom,
% 0.28/0.66 ! [C2: $o] :
% 0.28/0.66 ( ( produc1086673900c_sz_o
% 0.28/0.66 @ ^ [X4: produc1821101996_sc_sz] : C2 )
% 0.28/0.66 = ( ^ [X4: denota610675952t_unit,Y4: produc866628903_sc_sz] : C2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % curry_K
% 0.28/0.66 thf(fact_215_old_Oprod_Ocase,axiom,
% 0.28/0.66 ! [F2: denota610675952t_unit > produc866628903_sc_sz > produc190496183real_c,X1: denota610675952t_unit,X2: produc866628903_sc_sz] :
% 0.28/0.66 ( ( produc1575513068real_c @ F2 @ ( produc789536734_sc_sz @ X1 @ X2 ) )
% 0.28/0.66 = ( F2 @ X1 @ X2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % old.prod.case
% 0.28/0.66 thf(fact_216_old_Oprod_Ocase,axiom,
% 0.28/0.66 ! [F2: denota610675952t_unit > produc866628903_sc_sz > $o,X1: denota610675952t_unit,X2: produc866628903_sc_sz] :
% 0.28/0.66 ( ( produc619560141c_sz_o @ F2 @ ( produc789536734_sc_sz @ X1 @ X2 ) )
% 0.28/0.66 = ( F2 @ X1 @ X2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % old.prod.case
% 0.28/0.66 thf(fact_217_old_Oprod_Ocase,axiom,
% 0.28/0.66 ! [F2: denota610675952t_unit > produc866628903_sc_sz > set_Pr1389752855real_c,X1: denota610675952t_unit,X2: produc866628903_sc_sz] :
% 0.28/0.66 ( ( produc237521996real_c @ F2 @ ( produc789536734_sc_sz @ X1 @ X2 ) )
% 0.28/0.66 = ( F2 @ X1 @ X2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % old.prod.case
% 0.28/0.66 thf(fact_218_old_Oprod_Ocase,axiom,
% 0.28/0.66 ! [F2: finite1398487019real_c > finite1398487019real_c > produc190496183real_c,X1: finite1398487019real_c,X2: finite1398487019real_c] :
% 0.28/0.66 ( ( produc107375667real_c @ F2 @ ( produc394644079real_c @ X1 @ X2 ) )
% 0.28/0.66 = ( F2 @ X1 @ X2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % old.prod.case
% 0.28/0.66 thf(fact_219_old_Oprod_Ocase,axiom,
% 0.28/0.66 ! [F2: produc866628903_sc_sz > denota610675952t_unit > produc1821101996_sc_sz,X1: produc866628903_sc_sz,X2: denota610675952t_unit] :
% 0.28/0.66 ( ( produc435149849_sc_sz @ F2 @ ( produc502616768t_unit @ X1 @ X2 ) )
% 0.28/0.66 = ( F2 @ X1 @ X2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % old.prod.case
% 0.28/0.66 thf(fact_220_mem__case__prodE,axiom,
% 0.28/0.66 ! [Z: produc190496183real_c,C2: denota610675952t_unit > produc866628903_sc_sz > set_Pr1389752855real_c,P2: produc1821101996_sc_sz] :
% 0.28/0.66 ( ( member1895684704real_c @ Z @ ( produc237521996real_c @ C2 @ P2 ) )
% 0.28/0.66 => ~ ! [X3: denota610675952t_unit,Y3: produc866628903_sc_sz] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc789536734_sc_sz @ X3 @ Y3 ) )
% 0.28/0.66 => ~ ( member1895684704real_c @ Z @ ( C2 @ X3 @ Y3 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodE
% 0.28/0.66 thf(fact_221_mem__case__prodE,axiom,
% 0.28/0.66 ! [Z: finite1398487019real_c,C2: finite1398487019real_c > finite1398487019real_c > set_Fi1407883041real_c,P2: produc190496183real_c] :
% 0.28/0.66 ( ( member1261661570real_c @ Z @ ( produc29022117real_c @ C2 @ P2 ) )
% 0.28/0.66 => ~ ! [X3: finite1398487019real_c,Y3: finite1398487019real_c] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc394644079real_c @ X3 @ Y3 ) )
% 0.28/0.66 => ~ ( member1261661570real_c @ Z @ ( C2 @ X3 @ Y3 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodE
% 0.28/0.66 thf(fact_222_mem__case__prodE,axiom,
% 0.28/0.66 ! [Z: finite1398487019real_c,C2: list_f1238882004_sc_sz > list_f1238882004_sc_sz > set_Fi1407883041real_c,P2: produc866628903_sc_sz] :
% 0.28/0.66 ( ( member1261661570real_c @ Z @ ( produc1449736269real_c @ C2 @ P2 ) )
% 0.28/0.66 => ~ ! [X3: list_f1238882004_sc_sz,Y3: list_f1238882004_sc_sz] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc1822718231_sc_sz @ X3 @ Y3 ) )
% 0.28/0.66 => ~ ( member1261661570real_c @ Z @ ( C2 @ X3 @ Y3 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodE
% 0.28/0.66 thf(fact_223_mem__case__prodE,axiom,
% 0.28/0.66 ! [Z: produc190496183real_c,C2: finite1398487019real_c > finite1398487019real_c > set_Pr1389752855real_c,P2: produc190496183real_c] :
% 0.28/0.66 ( ( member1895684704real_c @ Z @ ( produc923381907real_c @ C2 @ P2 ) )
% 0.28/0.66 => ~ ! [X3: finite1398487019real_c,Y3: finite1398487019real_c] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc394644079real_c @ X3 @ Y3 ) )
% 0.28/0.66 => ~ ( member1895684704real_c @ Z @ ( C2 @ X3 @ Y3 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodE
% 0.28/0.66 thf(fact_224_mem__case__prodE,axiom,
% 0.28/0.66 ! [Z: produc190496183real_c,C2: list_f1238882004_sc_sz > list_f1238882004_sc_sz > set_Pr1389752855real_c,P2: produc866628903_sc_sz] :
% 0.28/0.66 ( ( member1895684704real_c @ Z @ ( produc6841835real_c @ C2 @ P2 ) )
% 0.28/0.66 => ~ ! [X3: list_f1238882004_sc_sz,Y3: list_f1238882004_sc_sz] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc1822718231_sc_sz @ X3 @ Y3 ) )
% 0.28/0.66 => ~ ( member1895684704real_c @ Z @ ( C2 @ X3 @ Y3 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodE
% 0.28/0.66 thf(fact_225_mem__case__prodE,axiom,
% 0.28/0.66 ! [Z: produc866628903_sc_sz,C2: finite1398487019real_c > finite1398487019real_c > set_Pr1774599175_sc_sz,P2: produc190496183real_c] :
% 0.28/0.66 ( ( member245028432_sc_sz @ Z @ ( produc642283651_sc_sz @ C2 @ P2 ) )
% 0.28/0.66 => ~ ! [X3: finite1398487019real_c,Y3: finite1398487019real_c] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc394644079real_c @ X3 @ Y3 ) )
% 0.28/0.66 => ~ ( member245028432_sc_sz @ Z @ ( C2 @ X3 @ Y3 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodE
% 0.28/0.66 thf(fact_226_mem__case__prodE,axiom,
% 0.28/0.66 ! [Z: finite1398487019real_c,C2: produc190496183real_c > produc190496183real_c > set_Fi1407883041real_c,P2: produc640052711real_c] :
% 0.28/0.66 ( ( member1261661570real_c @ Z @ ( produc1066779277real_c @ C2 @ P2 ) )
% 0.28/0.66 => ~ ! [X3: produc190496183real_c,Y3: produc190496183real_c] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc1687028567real_c @ X3 @ Y3 ) )
% 0.28/0.66 => ~ ( member1261661570real_c @ Z @ ( C2 @ X3 @ Y3 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodE
% 0.28/0.66 thf(fact_227_mem__case__prodE,axiom,
% 0.28/0.66 ! [Z: finite1398487019real_c,C2: denota610675952t_unit > produc866628903_sc_sz > set_Fi1407883041real_c,P2: produc1821101996_sc_sz] :
% 0.28/0.66 ( ( member1261661570real_c @ Z @ ( produc2068697644real_c @ C2 @ P2 ) )
% 0.28/0.66 => ~ ! [X3: denota610675952t_unit,Y3: produc866628903_sc_sz] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc789536734_sc_sz @ X3 @ Y3 ) )
% 0.28/0.66 => ~ ( member1261661570real_c @ Z @ ( C2 @ X3 @ Y3 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodE
% 0.28/0.66 thf(fact_228_mem__case__prodE,axiom,
% 0.28/0.66 ! [Z: finite1398487019real_c,C2: produc866628903_sc_sz > denota610675952t_unit > set_Fi1407883041real_c,P2: produc999471430t_unit] :
% 0.28/0.66 ( ( member1261661570real_c @ Z @ ( produc1368849166real_c @ C2 @ P2 ) )
% 0.28/0.66 => ~ ! [X3: produc866628903_sc_sz,Y3: denota610675952t_unit] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc502616768t_unit @ X3 @ Y3 ) )
% 0.28/0.66 => ~ ( member1261661570real_c @ Z @ ( C2 @ X3 @ Y3 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodE
% 0.28/0.66 thf(fact_229_mem__case__prodE,axiom,
% 0.28/0.66 ! [Z: produc866628903_sc_sz,C2: list_f1238882004_sc_sz > list_f1238882004_sc_sz > set_Pr1774599175_sc_sz,P2: produc866628903_sc_sz] :
% 0.28/0.66 ( ( member245028432_sc_sz @ Z @ ( produc1563580891_sc_sz @ C2 @ P2 ) )
% 0.28/0.66 => ~ ! [X3: list_f1238882004_sc_sz,Y3: list_f1238882004_sc_sz] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc1822718231_sc_sz @ X3 @ Y3 ) )
% 0.28/0.66 => ~ ( member245028432_sc_sz @ Z @ ( C2 @ X3 @ Y3 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % mem_case_prodE
% 0.28/0.66 thf(fact_230_prod_Ocase__distrib,axiom,
% 0.28/0.66 ! [H: $o > $o,F2: denota610675952t_unit > produc866628903_sc_sz > $o,Prod: produc1821101996_sc_sz] :
% 0.28/0.66 ( ( H @ ( produc619560141c_sz_o @ F2 @ Prod ) )
% 0.28/0.66 = ( produc619560141c_sz_o
% 0.28/0.66 @ ^ [X12: denota610675952t_unit,X22: produc866628903_sc_sz] : ( H @ ( F2 @ X12 @ X22 ) )
% 0.28/0.66 @ Prod ) ) ).
% 0.28/0.66
% 0.28/0.66 % prod.case_distrib
% 0.28/0.66 thf(fact_231_prod_Ocase__distrib,axiom,
% 0.28/0.66 ! [H: produc190496183real_c > produc190496183real_c,F2: finite1398487019real_c > finite1398487019real_c > produc190496183real_c,Prod: produc190496183real_c] :
% 0.28/0.66 ( ( H @ ( produc107375667real_c @ F2 @ Prod ) )
% 0.28/0.66 = ( produc107375667real_c
% 0.28/0.66 @ ^ [X12: finite1398487019real_c,X22: finite1398487019real_c] : ( H @ ( F2 @ X12 @ X22 ) )
% 0.28/0.66 @ Prod ) ) ).
% 0.28/0.66
% 0.28/0.66 % prod.case_distrib
% 0.28/0.66 thf(fact_232_prod_Ocase__distrib,axiom,
% 0.28/0.66 ! [H: produc190496183real_c > $o,F2: denota610675952t_unit > produc866628903_sc_sz > produc190496183real_c,Prod: produc1821101996_sc_sz] :
% 0.28/0.66 ( ( H @ ( produc1575513068real_c @ F2 @ Prod ) )
% 0.28/0.66 = ( produc619560141c_sz_o
% 0.28/0.66 @ ^ [X12: denota610675952t_unit,X22: produc866628903_sc_sz] : ( H @ ( F2 @ X12 @ X22 ) )
% 0.28/0.66 @ Prod ) ) ).
% 0.28/0.66
% 0.28/0.66 % prod.case_distrib
% 0.28/0.66 thf(fact_233_prod_Ocase__distrib,axiom,
% 0.28/0.66 ! [H: $o > produc190496183real_c,F2: denota610675952t_unit > produc866628903_sc_sz > $o,Prod: produc1821101996_sc_sz] :
% 0.28/0.66 ( ( H @ ( produc619560141c_sz_o @ F2 @ Prod ) )
% 0.28/0.66 = ( produc1575513068real_c
% 0.28/0.66 @ ^ [X12: denota610675952t_unit,X22: produc866628903_sc_sz] : ( H @ ( F2 @ X12 @ X22 ) )
% 0.28/0.66 @ Prod ) ) ).
% 0.28/0.66
% 0.28/0.66 % prod.case_distrib
% 0.28/0.66 thf(fact_234_prod_Ocase__distrib,axiom,
% 0.28/0.66 ! [H: $o > set_Pr1389752855real_c,F2: denota610675952t_unit > produc866628903_sc_sz > $o,Prod: produc1821101996_sc_sz] :
% 0.28/0.66 ( ( H @ ( produc619560141c_sz_o @ F2 @ Prod ) )
% 0.28/0.66 = ( produc237521996real_c
% 0.28/0.66 @ ^ [X12: denota610675952t_unit,X22: produc866628903_sc_sz] : ( H @ ( F2 @ X12 @ X22 ) )
% 0.28/0.66 @ Prod ) ) ).
% 0.28/0.66
% 0.28/0.66 % prod.case_distrib
% 0.28/0.66 thf(fact_235_prod_Ocase__distrib,axiom,
% 0.28/0.66 ! [H: set_Pr1389752855real_c > $o,F2: denota610675952t_unit > produc866628903_sc_sz > set_Pr1389752855real_c,Prod: produc1821101996_sc_sz] :
% 0.28/0.66 ( ( H @ ( produc237521996real_c @ F2 @ Prod ) )
% 0.28/0.66 = ( produc619560141c_sz_o
% 0.28/0.66 @ ^ [X12: denota610675952t_unit,X22: produc866628903_sc_sz] : ( H @ ( F2 @ X12 @ X22 ) )
% 0.28/0.66 @ Prod ) ) ).
% 0.28/0.66
% 0.28/0.66 % prod.case_distrib
% 0.28/0.66 thf(fact_236_prod_Ocase__distrib,axiom,
% 0.28/0.66 ! [H: produc190496183real_c > produc190496183real_c,F2: denota610675952t_unit > produc866628903_sc_sz > produc190496183real_c,Prod: produc1821101996_sc_sz] :
% 0.28/0.66 ( ( H @ ( produc1575513068real_c @ F2 @ Prod ) )
% 0.28/0.66 = ( produc1575513068real_c
% 0.28/0.66 @ ^ [X12: denota610675952t_unit,X22: produc866628903_sc_sz] : ( H @ ( F2 @ X12 @ X22 ) )
% 0.28/0.66 @ Prod ) ) ).
% 0.28/0.66
% 0.28/0.66 % prod.case_distrib
% 0.28/0.66 thf(fact_237_prod_Ocase__distrib,axiom,
% 0.28/0.66 ! [H: produc190496183real_c > set_Pr1389752855real_c,F2: denota610675952t_unit > produc866628903_sc_sz > produc190496183real_c,Prod: produc1821101996_sc_sz] :
% 0.28/0.66 ( ( H @ ( produc1575513068real_c @ F2 @ Prod ) )
% 0.28/0.66 = ( produc237521996real_c
% 0.28/0.66 @ ^ [X12: denota610675952t_unit,X22: produc866628903_sc_sz] : ( H @ ( F2 @ X12 @ X22 ) )
% 0.28/0.66 @ Prod ) ) ).
% 0.28/0.66
% 0.28/0.66 % prod.case_distrib
% 0.28/0.66 thf(fact_238_prod_Ocase__distrib,axiom,
% 0.28/0.66 ! [H: set_Pr1389752855real_c > produc190496183real_c,F2: denota610675952t_unit > produc866628903_sc_sz > set_Pr1389752855real_c,Prod: produc1821101996_sc_sz] :
% 0.28/0.66 ( ( H @ ( produc237521996real_c @ F2 @ Prod ) )
% 0.28/0.66 = ( produc1575513068real_c
% 0.28/0.66 @ ^ [X12: denota610675952t_unit,X22: produc866628903_sc_sz] : ( H @ ( F2 @ X12 @ X22 ) )
% 0.28/0.66 @ Prod ) ) ).
% 0.28/0.66
% 0.28/0.66 % prod.case_distrib
% 0.28/0.66 thf(fact_239_prod_Ocase__distrib,axiom,
% 0.28/0.66 ! [H: set_Pr1389752855real_c > set_Pr1389752855real_c,F2: denota610675952t_unit > produc866628903_sc_sz > set_Pr1389752855real_c,Prod: produc1821101996_sc_sz] :
% 0.28/0.66 ( ( H @ ( produc237521996real_c @ F2 @ Prod ) )
% 0.28/0.66 = ( produc237521996real_c
% 0.28/0.66 @ ^ [X12: denota610675952t_unit,X22: produc866628903_sc_sz] : ( H @ ( F2 @ X12 @ X22 ) )
% 0.28/0.66 @ Prod ) ) ).
% 0.28/0.66
% 0.28/0.66 % prod.case_distrib
% 0.28/0.66 thf(fact_240_cond__case__prod__eta,axiom,
% 0.28/0.66 ! [F2: denota610675952t_unit > produc866628903_sc_sz > produc190496183real_c,G: produc1821101996_sc_sz > produc190496183real_c] :
% 0.28/0.66 ( ! [X3: denota610675952t_unit,Y3: produc866628903_sc_sz] :
% 0.28/0.66 ( ( F2 @ X3 @ Y3 )
% 0.28/0.66 = ( G @ ( produc789536734_sc_sz @ X3 @ Y3 ) ) )
% 0.28/0.66 => ( ( produc1575513068real_c @ F2 )
% 0.28/0.66 = G ) ) ).
% 0.28/0.66
% 0.28/0.66 % cond_case_prod_eta
% 0.28/0.66 thf(fact_241_cond__case__prod__eta,axiom,
% 0.28/0.66 ! [F2: denota610675952t_unit > produc866628903_sc_sz > $o,G: produc1821101996_sc_sz > $o] :
% 0.28/0.66 ( ! [X3: denota610675952t_unit,Y3: produc866628903_sc_sz] :
% 0.28/0.66 ( ( F2 @ X3 @ Y3 )
% 0.28/0.66 = ( G @ ( produc789536734_sc_sz @ X3 @ Y3 ) ) )
% 0.28/0.66 => ( ( produc619560141c_sz_o @ F2 )
% 0.28/0.66 = G ) ) ).
% 0.28/0.66
% 0.28/0.66 % cond_case_prod_eta
% 0.28/0.66 thf(fact_242_cond__case__prod__eta,axiom,
% 0.28/0.66 ! [F2: denota610675952t_unit > produc866628903_sc_sz > set_Pr1389752855real_c,G: produc1821101996_sc_sz > set_Pr1389752855real_c] :
% 0.28/0.66 ( ! [X3: denota610675952t_unit,Y3: produc866628903_sc_sz] :
% 0.28/0.66 ( ( F2 @ X3 @ Y3 )
% 0.28/0.66 = ( G @ ( produc789536734_sc_sz @ X3 @ Y3 ) ) )
% 0.28/0.66 => ( ( produc237521996real_c @ F2 )
% 0.28/0.66 = G ) ) ).
% 0.28/0.66
% 0.28/0.66 % cond_case_prod_eta
% 0.28/0.66 thf(fact_243_cond__case__prod__eta,axiom,
% 0.28/0.66 ! [F2: finite1398487019real_c > finite1398487019real_c > produc190496183real_c,G: produc190496183real_c > produc190496183real_c] :
% 0.28/0.66 ( ! [X3: finite1398487019real_c,Y3: finite1398487019real_c] :
% 0.28/0.66 ( ( F2 @ X3 @ Y3 )
% 0.28/0.66 = ( G @ ( produc394644079real_c @ X3 @ Y3 ) ) )
% 0.28/0.66 => ( ( produc107375667real_c @ F2 )
% 0.28/0.66 = G ) ) ).
% 0.28/0.66
% 0.28/0.66 % cond_case_prod_eta
% 0.28/0.66 thf(fact_244_cond__case__prod__eta,axiom,
% 0.28/0.66 ! [F2: produc866628903_sc_sz > denota610675952t_unit > produc1821101996_sc_sz,G: produc999471430t_unit > produc1821101996_sc_sz] :
% 0.28/0.66 ( ! [X3: produc866628903_sc_sz,Y3: denota610675952t_unit] :
% 0.28/0.66 ( ( F2 @ X3 @ Y3 )
% 0.28/0.66 = ( G @ ( produc502616768t_unit @ X3 @ Y3 ) ) )
% 0.28/0.66 => ( ( produc435149849_sc_sz @ F2 )
% 0.28/0.66 = G ) ) ).
% 0.28/0.66
% 0.28/0.66 % cond_case_prod_eta
% 0.28/0.66 thf(fact_245_case__prod__eta,axiom,
% 0.28/0.66 ! [F2: produc1821101996_sc_sz > produc190496183real_c] :
% 0.28/0.66 ( ( produc1575513068real_c
% 0.28/0.66 @ ^ [X4: denota610675952t_unit,Y4: produc866628903_sc_sz] : ( F2 @ ( produc789536734_sc_sz @ X4 @ Y4 ) ) )
% 0.28/0.66 = F2 ) ).
% 0.28/0.66
% 0.28/0.66 % case_prod_eta
% 0.28/0.66 thf(fact_246_case__prod__eta,axiom,
% 0.28/0.66 ! [F2: produc1821101996_sc_sz > $o] :
% 0.28/0.66 ( ( produc619560141c_sz_o
% 0.28/0.66 @ ^ [X4: denota610675952t_unit,Y4: produc866628903_sc_sz] : ( F2 @ ( produc789536734_sc_sz @ X4 @ Y4 ) ) )
% 0.28/0.66 = F2 ) ).
% 0.28/0.66
% 0.28/0.66 % case_prod_eta
% 0.28/0.66 thf(fact_247_case__prod__eta,axiom,
% 0.28/0.66 ! [F2: produc1821101996_sc_sz > set_Pr1389752855real_c] :
% 0.28/0.66 ( ( produc237521996real_c
% 0.28/0.66 @ ^ [X4: denota610675952t_unit,Y4: produc866628903_sc_sz] : ( F2 @ ( produc789536734_sc_sz @ X4 @ Y4 ) ) )
% 0.28/0.66 = F2 ) ).
% 0.28/0.66
% 0.28/0.66 % case_prod_eta
% 0.28/0.66 thf(fact_248_case__prod__eta,axiom,
% 0.28/0.66 ! [F2: produc190496183real_c > produc190496183real_c] :
% 0.28/0.66 ( ( produc107375667real_c
% 0.28/0.66 @ ^ [X4: finite1398487019real_c,Y4: finite1398487019real_c] : ( F2 @ ( produc394644079real_c @ X4 @ Y4 ) ) )
% 0.28/0.66 = F2 ) ).
% 0.28/0.66
% 0.28/0.66 % case_prod_eta
% 0.28/0.66 thf(fact_249_case__prod__eta,axiom,
% 0.28/0.66 ! [F2: produc999471430t_unit > produc1821101996_sc_sz] :
% 0.28/0.66 ( ( produc435149849_sc_sz
% 0.28/0.66 @ ^ [X4: produc866628903_sc_sz,Y4: denota610675952t_unit] : ( F2 @ ( produc502616768t_unit @ X4 @ Y4 ) ) )
% 0.28/0.66 = F2 ) ).
% 0.28/0.66
% 0.28/0.66 % case_prod_eta
% 0.28/0.66 thf(fact_250_case__prodE2,axiom,
% 0.28/0.66 ! [Q: produc190496183real_c > $o,P: denota610675952t_unit > produc866628903_sc_sz > produc190496183real_c,Z: produc1821101996_sc_sz] :
% 0.28/0.66 ( ( Q @ ( produc1575513068real_c @ P @ Z ) )
% 0.28/0.66 => ~ ! [X3: denota610675952t_unit,Y3: produc866628903_sc_sz] :
% 0.28/0.66 ( ( Z
% 0.28/0.66 = ( produc789536734_sc_sz @ X3 @ Y3 ) )
% 0.28/0.66 => ~ ( Q @ ( P @ X3 @ Y3 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prodE2
% 0.28/0.66 thf(fact_251_case__prodE2,axiom,
% 0.28/0.66 ! [Q: $o > $o,P: denota610675952t_unit > produc866628903_sc_sz > $o,Z: produc1821101996_sc_sz] :
% 0.28/0.66 ( ( Q @ ( produc619560141c_sz_o @ P @ Z ) )
% 0.28/0.66 => ~ ! [X3: denota610675952t_unit,Y3: produc866628903_sc_sz] :
% 0.28/0.66 ( ( Z
% 0.28/0.66 = ( produc789536734_sc_sz @ X3 @ Y3 ) )
% 0.28/0.66 => ~ ( Q @ ( P @ X3 @ Y3 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prodE2
% 0.28/0.66 thf(fact_252_case__prodE2,axiom,
% 0.28/0.66 ! [Q: set_Pr1389752855real_c > $o,P: denota610675952t_unit > produc866628903_sc_sz > set_Pr1389752855real_c,Z: produc1821101996_sc_sz] :
% 0.28/0.66 ( ( Q @ ( produc237521996real_c @ P @ Z ) )
% 0.28/0.66 => ~ ! [X3: denota610675952t_unit,Y3: produc866628903_sc_sz] :
% 0.28/0.66 ( ( Z
% 0.28/0.66 = ( produc789536734_sc_sz @ X3 @ Y3 ) )
% 0.28/0.66 => ~ ( Q @ ( P @ X3 @ Y3 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prodE2
% 0.28/0.66 thf(fact_253_case__prodE2,axiom,
% 0.28/0.66 ! [Q: produc190496183real_c > $o,P: finite1398487019real_c > finite1398487019real_c > produc190496183real_c,Z: produc190496183real_c] :
% 0.28/0.66 ( ( Q @ ( produc107375667real_c @ P @ Z ) )
% 0.28/0.66 => ~ ! [X3: finite1398487019real_c,Y3: finite1398487019real_c] :
% 0.28/0.66 ( ( Z
% 0.28/0.66 = ( produc394644079real_c @ X3 @ Y3 ) )
% 0.28/0.66 => ~ ( Q @ ( P @ X3 @ Y3 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prodE2
% 0.28/0.66 thf(fact_254_case__prodE2,axiom,
% 0.28/0.66 ! [Q: produc1821101996_sc_sz > $o,P: produc866628903_sc_sz > denota610675952t_unit > produc1821101996_sc_sz,Z: produc999471430t_unit] :
% 0.28/0.66 ( ( Q @ ( produc435149849_sc_sz @ P @ Z ) )
% 0.28/0.66 => ~ ! [X3: produc866628903_sc_sz,Y3: denota610675952t_unit] :
% 0.28/0.66 ( ( Z
% 0.28/0.66 = ( produc502616768t_unit @ X3 @ Y3 ) )
% 0.28/0.66 => ~ ( Q @ ( P @ X3 @ Y3 ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prodE2
% 0.28/0.66 thf(fact_255_case__prodE,axiom,
% 0.28/0.66 ! [C2: list_f1238882004_sc_sz > list_f1238882004_sc_sz > $o,P2: produc866628903_sc_sz] :
% 0.28/0.66 ( ( produc2039065452c_sz_o @ C2 @ P2 )
% 0.28/0.66 => ~ ! [X3: list_f1238882004_sc_sz,Y3: list_f1238882004_sc_sz] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc1822718231_sc_sz @ X3 @ Y3 ) )
% 0.28/0.66 => ~ ( C2 @ X3 @ Y3 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prodE
% 0.28/0.66 thf(fact_256_case__prodE,axiom,
% 0.28/0.66 ! [C2: finite1398487019real_c > finite1398487019real_c > $o,P2: produc190496183real_c] :
% 0.28/0.66 ( ( produc353381908al_c_o @ C2 @ P2 )
% 0.28/0.66 => ~ ! [X3: finite1398487019real_c,Y3: finite1398487019real_c] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc394644079real_c @ X3 @ Y3 ) )
% 0.28/0.66 => ~ ( C2 @ X3 @ Y3 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prodE
% 0.28/0.66 thf(fact_257_case__prodE,axiom,
% 0.28/0.66 ! [C2: produc866628903_sc_sz > denota610675952t_unit > $o,P2: produc999471430t_unit] :
% 0.28/0.66 ( ( produc1718498667unit_o @ C2 @ P2 )
% 0.28/0.66 => ~ ! [X3: produc866628903_sc_sz,Y3: denota610675952t_unit] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc502616768t_unit @ X3 @ Y3 ) )
% 0.28/0.66 => ~ ( C2 @ X3 @ Y3 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prodE
% 0.28/0.66 thf(fact_258_case__prodE,axiom,
% 0.28/0.66 ! [C2: produc190496183real_c > produc190496183real_c > $o,P2: produc640052711real_c] :
% 0.28/0.66 ( ( produc1726730540al_c_o @ C2 @ P2 )
% 0.28/0.66 => ~ ! [X3: produc190496183real_c,Y3: produc190496183real_c] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc1687028567real_c @ X3 @ Y3 ) )
% 0.28/0.66 => ~ ( C2 @ X3 @ Y3 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prodE
% 0.28/0.66 thf(fact_259_case__prodE,axiom,
% 0.28/0.66 ! [C2: denota610675952t_unit > produc866628903_sc_sz > $o,P2: produc1821101996_sc_sz] :
% 0.28/0.66 ( ( produc619560141c_sz_o @ C2 @ P2 )
% 0.28/0.66 => ~ ! [X3: denota610675952t_unit,Y3: produc866628903_sc_sz] :
% 0.28/0.66 ( ( P2
% 0.28/0.66 = ( produc789536734_sc_sz @ X3 @ Y3 ) )
% 0.28/0.66 => ~ ( C2 @ X3 @ Y3 ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prodE
% 0.28/0.66 thf(fact_260_case__prodD,axiom,
% 0.28/0.66 ! [F2: list_f1238882004_sc_sz > list_f1238882004_sc_sz > $o,A2: list_f1238882004_sc_sz,B2: list_f1238882004_sc_sz] :
% 0.28/0.66 ( ( produc2039065452c_sz_o @ F2 @ ( produc1822718231_sc_sz @ A2 @ B2 ) )
% 0.28/0.66 => ( F2 @ A2 @ B2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prodD
% 0.28/0.66 thf(fact_261_case__prodD,axiom,
% 0.28/0.66 ! [F2: finite1398487019real_c > finite1398487019real_c > $o,A2: finite1398487019real_c,B2: finite1398487019real_c] :
% 0.28/0.66 ( ( produc353381908al_c_o @ F2 @ ( produc394644079real_c @ A2 @ B2 ) )
% 0.28/0.66 => ( F2 @ A2 @ B2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prodD
% 0.28/0.66 thf(fact_262_case__prodD,axiom,
% 0.28/0.66 ! [F2: produc866628903_sc_sz > denota610675952t_unit > $o,A2: produc866628903_sc_sz,B2: denota610675952t_unit] :
% 0.28/0.66 ( ( produc1718498667unit_o @ F2 @ ( produc502616768t_unit @ A2 @ B2 ) )
% 0.28/0.66 => ( F2 @ A2 @ B2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prodD
% 0.28/0.66 thf(fact_263_case__prodD,axiom,
% 0.28/0.66 ! [F2: produc190496183real_c > produc190496183real_c > $o,A2: produc190496183real_c,B2: produc190496183real_c] :
% 0.28/0.66 ( ( produc1726730540al_c_o @ F2 @ ( produc1687028567real_c @ A2 @ B2 ) )
% 0.28/0.66 => ( F2 @ A2 @ B2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prodD
% 0.28/0.66 thf(fact_264_case__prodD,axiom,
% 0.28/0.66 ! [F2: denota610675952t_unit > produc866628903_sc_sz > $o,A2: denota610675952t_unit,B2: produc866628903_sc_sz] :
% 0.28/0.66 ( ( produc619560141c_sz_o @ F2 @ ( produc789536734_sc_sz @ A2 @ B2 ) )
% 0.28/0.66 => ( F2 @ A2 @ B2 ) ) ).
% 0.28/0.66
% 0.28/0.66 % case_prodD
% 0.28/0.66 thf(fact_265_image__ident,axiom,
% 0.28/0.66 ! [Y5: set_Pr1389752855real_c] :
% 0.28/0.66 ( ( image_738229701real_c
% 0.28/0.66 @ ^ [X4: produc190496183real_c] : X4
% 0.28/0.66 @ Y5 )
% 0.28/0.66 = Y5 ) ).
% 0.28/0.66
% 0.28/0.66 % image_ident
% 0.28/0.66 thf(fact_266_image__eqI,axiom,
% 0.28/0.66 ! [B2: produc190496183real_c,F2: produc190496183real_c > produc190496183real_c,X: produc190496183real_c,A: set_Pr1389752855real_c] :
% 0.28/0.66 ( ( B2
% 0.28/0.66 = ( F2 @ X ) )
% 0.28/0.66 => ( ( member1895684704real_c @ X @ A )
% 0.28/0.66 => ( member1895684704real_c @ B2 @ ( image_738229701real_c @ F2 @ A ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % image_eqI
% 0.28/0.66 thf(fact_267_image__eqI,axiom,
% 0.28/0.66 ! [B2: finite1398487019real_c,F2: finite1398487019real_c > finite1398487019real_c,X: finite1398487019real_c,A: set_Fi1407883041real_c] :
% 0.28/0.66 ( ( B2
% 0.28/0.66 = ( F2 @ X ) )
% 0.28/0.66 => ( ( member1261661570real_c @ X @ A )
% 0.28/0.66 => ( member1261661570real_c @ B2 @ ( image_1514048989real_c @ F2 @ A ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % image_eqI
% 0.28/0.66 thf(fact_268_image__eqI,axiom,
% 0.28/0.66 ! [B2: finite1398487019real_c,F2: produc190496183real_c > finite1398487019real_c,X: produc190496183real_c,A: set_Pr1389752855real_c] :
% 0.28/0.66 ( ( B2
% 0.28/0.66 = ( F2 @ X ) )
% 0.28/0.66 => ( ( member1895684704real_c @ X @ A )
% 0.28/0.66 => ( member1261661570real_c @ B2 @ ( image_14429021real_c @ F2 @ A ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % image_eqI
% 0.28/0.66 thf(fact_269_image__eqI,axiom,
% 0.28/0.66 ! [B2: produc190496183real_c,F2: finite1398487019real_c > produc190496183real_c,X: finite1398487019real_c,A: set_Fi1407883041real_c] :
% 0.28/0.66 ( ( B2
% 0.28/0.66 = ( F2 @ X ) )
% 0.28/0.66 => ( ( member1261661570real_c @ X @ A )
% 0.28/0.66 => ( member1895684704real_c @ B2 @ ( image_1461287749real_c @ F2 @ A ) ) ) ) ).
% 0.28/0.66
% 0.28/0.66 % image_eqI
% 0.28/0.66 thf(fact_270_image__eqI,axiom,
% 0.28/0.66 ! [B2: produc866628903_sc_sz,F2: finite1398487019real_c > produc866628903_sc_sz,X: finite1398487019real_c,A: set_Fi1407883041real_c] :
% 0.28/0.66 ( ( B2
% 0.28/0.66 = ( F2 @ X ) )
% 0.28/0.67 => ( ( member1261661570real_c @ X @ A )
% 0.28/0.67 => ( member245028432_sc_sz @ B2 @ ( image_290183605_sc_sz @ F2 @ A ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % image_eqI
% 0.28/0.67 thf(fact_271_image__eqI,axiom,
% 0.28/0.67 ! [B2: finite1398487019real_c,F2: produc866628903_sc_sz > finite1398487019real_c,X: produc866628903_sc_sz,A: set_Pr1774599175_sc_sz] :
% 0.28/0.67 ( ( B2
% 0.28/0.67 = ( F2 @ X ) )
% 0.28/0.67 => ( ( member245028432_sc_sz @ X @ A )
% 0.28/0.67 => ( member1261661570real_c @ B2 @ ( image_1332486093real_c @ F2 @ A ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % image_eqI
% 0.28/0.67 thf(fact_272_image__eqI,axiom,
% 0.28/0.67 ! [B2: produc866628903_sc_sz,F2: produc190496183real_c > produc866628903_sc_sz,X: produc190496183real_c,A: set_Pr1389752855real_c] :
% 0.28/0.67 ( ( B2
% 0.28/0.67 = ( F2 @ X ) )
% 0.28/0.67 => ( ( member1895684704real_c @ X @ A )
% 0.28/0.67 => ( member245028432_sc_sz @ B2 @ ( image_388766773_sc_sz @ F2 @ A ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % image_eqI
% 0.28/0.67 thf(fact_273_image__eqI,axiom,
% 0.28/0.67 ! [B2: produc640052711real_c,F2: finite1398487019real_c > produc640052711real_c,X: finite1398487019real_c,A: set_Fi1407883041real_c] :
% 0.28/0.67 ( ( B2
% 0.28/0.67 = ( F2 @ X ) )
% 0.28/0.67 => ( ( member1261661570real_c @ X @ A )
% 0.28/0.67 => ( member346808080real_c @ B2 @ ( image_1746662005real_c @ F2 @ A ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % image_eqI
% 0.28/0.67 thf(fact_274_image__eqI,axiom,
% 0.28/0.67 ! [B2: finite1398487019real_c,F2: produc640052711real_c > finite1398487019real_c,X: produc640052711real_c,A: set_Pr754230471real_c] :
% 0.28/0.67 ( ( B2
% 0.28/0.67 = ( F2 @ X ) )
% 0.28/0.67 => ( ( member346808080real_c @ X @ A )
% 0.28/0.67 => ( member1261661570real_c @ B2 @ ( image_124598413real_c @ F2 @ A ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % image_eqI
% 0.28/0.67 thf(fact_275_image__eqI,axiom,
% 0.28/0.67 ! [B2: produc190496183real_c,F2: produc866628903_sc_sz > produc190496183real_c,X: produc866628903_sc_sz,A: set_Pr1774599175_sc_sz] :
% 0.28/0.67 ( ( B2
% 0.28/0.67 = ( F2 @ X ) )
% 0.28/0.67 => ( ( member245028432_sc_sz @ X @ A )
% 0.28/0.67 => ( member1895684704real_c @ B2 @ ( image_1121381717real_c @ F2 @ A ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % image_eqI
% 0.28/0.67 thf(fact_276_split__part,axiom,
% 0.28/0.67 ! [P: $o,Q: denota610675952t_unit > produc866628903_sc_sz > $o] :
% 0.28/0.67 ( ( produc619560141c_sz_o
% 0.28/0.67 @ ^ [A5: denota610675952t_unit,B5: produc866628903_sc_sz] :
% 0.28/0.67 ( P
% 0.28/0.67 & ( Q @ A5 @ B5 ) ) )
% 0.28/0.67 = ( ^ [Ab: produc1821101996_sc_sz] :
% 0.28/0.67 ( P
% 0.28/0.67 & ( produc619560141c_sz_o @ Q @ Ab ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % split_part
% 0.28/0.67 thf(fact_277_prod_Odisc__eq__case,axiom,
% 0.28/0.67 ! [Prod: produc1821101996_sc_sz] :
% 0.28/0.67 ( produc619560141c_sz_o
% 0.28/0.67 @ ^ [Uu: denota610675952t_unit,Uv: produc866628903_sc_sz] : $true
% 0.28/0.67 @ Prod ) ).
% 0.28/0.67
% 0.28/0.67 % prod.disc_eq_case
% 0.28/0.67 thf(fact_278_rev__image__eqI,axiom,
% 0.28/0.67 ! [X: produc190496183real_c,A: set_Pr1389752855real_c,B2: produc190496183real_c,F2: produc190496183real_c > produc190496183real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ X @ A )
% 0.28/0.67 => ( ( B2
% 0.28/0.67 = ( F2 @ X ) )
% 0.28/0.67 => ( member1895684704real_c @ B2 @ ( image_738229701real_c @ F2 @ A ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % rev_image_eqI
% 0.28/0.67 thf(fact_279_rev__image__eqI,axiom,
% 0.28/0.67 ! [X: finite1398487019real_c,A: set_Fi1407883041real_c,B2: finite1398487019real_c,F2: finite1398487019real_c > finite1398487019real_c] :
% 0.28/0.67 ( ( member1261661570real_c @ X @ A )
% 0.28/0.67 => ( ( B2
% 0.28/0.67 = ( F2 @ X ) )
% 0.28/0.67 => ( member1261661570real_c @ B2 @ ( image_1514048989real_c @ F2 @ A ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % rev_image_eqI
% 0.28/0.67 thf(fact_280_rev__image__eqI,axiom,
% 0.28/0.67 ! [X: produc190496183real_c,A: set_Pr1389752855real_c,B2: finite1398487019real_c,F2: produc190496183real_c > finite1398487019real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ X @ A )
% 0.28/0.67 => ( ( B2
% 0.28/0.67 = ( F2 @ X ) )
% 0.28/0.67 => ( member1261661570real_c @ B2 @ ( image_14429021real_c @ F2 @ A ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % rev_image_eqI
% 0.28/0.67 thf(fact_281_rev__image__eqI,axiom,
% 0.28/0.67 ! [X: finite1398487019real_c,A: set_Fi1407883041real_c,B2: produc190496183real_c,F2: finite1398487019real_c > produc190496183real_c] :
% 0.28/0.67 ( ( member1261661570real_c @ X @ A )
% 0.28/0.67 => ( ( B2
% 0.28/0.67 = ( F2 @ X ) )
% 0.28/0.67 => ( member1895684704real_c @ B2 @ ( image_1461287749real_c @ F2 @ A ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % rev_image_eqI
% 0.28/0.67 thf(fact_282_rev__image__eqI,axiom,
% 0.28/0.67 ! [X: finite1398487019real_c,A: set_Fi1407883041real_c,B2: produc866628903_sc_sz,F2: finite1398487019real_c > produc866628903_sc_sz] :
% 0.28/0.67 ( ( member1261661570real_c @ X @ A )
% 0.28/0.67 => ( ( B2
% 0.28/0.67 = ( F2 @ X ) )
% 0.28/0.67 => ( member245028432_sc_sz @ B2 @ ( image_290183605_sc_sz @ F2 @ A ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % rev_image_eqI
% 0.28/0.67 thf(fact_283_rev__image__eqI,axiom,
% 0.28/0.67 ! [X: produc866628903_sc_sz,A: set_Pr1774599175_sc_sz,B2: finite1398487019real_c,F2: produc866628903_sc_sz > finite1398487019real_c] :
% 0.28/0.67 ( ( member245028432_sc_sz @ X @ A )
% 0.28/0.67 => ( ( B2
% 0.28/0.67 = ( F2 @ X ) )
% 0.28/0.67 => ( member1261661570real_c @ B2 @ ( image_1332486093real_c @ F2 @ A ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % rev_image_eqI
% 0.28/0.67 thf(fact_284_rev__image__eqI,axiom,
% 0.28/0.67 ! [X: produc190496183real_c,A: set_Pr1389752855real_c,B2: produc866628903_sc_sz,F2: produc190496183real_c > produc866628903_sc_sz] :
% 0.28/0.67 ( ( member1895684704real_c @ X @ A )
% 0.28/0.67 => ( ( B2
% 0.28/0.67 = ( F2 @ X ) )
% 0.28/0.67 => ( member245028432_sc_sz @ B2 @ ( image_388766773_sc_sz @ F2 @ A ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % rev_image_eqI
% 0.28/0.67 thf(fact_285_rev__image__eqI,axiom,
% 0.28/0.67 ! [X: finite1398487019real_c,A: set_Fi1407883041real_c,B2: produc640052711real_c,F2: finite1398487019real_c > produc640052711real_c] :
% 0.28/0.67 ( ( member1261661570real_c @ X @ A )
% 0.28/0.67 => ( ( B2
% 0.28/0.67 = ( F2 @ X ) )
% 0.28/0.67 => ( member346808080real_c @ B2 @ ( image_1746662005real_c @ F2 @ A ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % rev_image_eqI
% 0.28/0.67 thf(fact_286_rev__image__eqI,axiom,
% 0.28/0.67 ! [X: produc640052711real_c,A: set_Pr754230471real_c,B2: finite1398487019real_c,F2: produc640052711real_c > finite1398487019real_c] :
% 0.28/0.67 ( ( member346808080real_c @ X @ A )
% 0.28/0.67 => ( ( B2
% 0.28/0.67 = ( F2 @ X ) )
% 0.28/0.67 => ( member1261661570real_c @ B2 @ ( image_124598413real_c @ F2 @ A ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % rev_image_eqI
% 0.28/0.67 thf(fact_287_rev__image__eqI,axiom,
% 0.28/0.67 ! [X: produc866628903_sc_sz,A: set_Pr1774599175_sc_sz,B2: produc190496183real_c,F2: produc866628903_sc_sz > produc190496183real_c] :
% 0.28/0.67 ( ( member245028432_sc_sz @ X @ A )
% 0.28/0.67 => ( ( B2
% 0.28/0.67 = ( F2 @ X ) )
% 0.28/0.67 => ( member1895684704real_c @ B2 @ ( image_1121381717real_c @ F2 @ A ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % rev_image_eqI
% 0.28/0.67 thf(fact_288_ball__imageD,axiom,
% 0.28/0.67 ! [F2: produc1821101996_sc_sz > produc190496183real_c,A: set_Pr1169339874_sc_sz,P: produc190496183real_c > $o] :
% 0.28/0.67 ( ! [X3: produc190496183real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ X3 @ ( image_386905412real_c @ F2 @ A ) )
% 0.28/0.67 => ( P @ X3 ) )
% 0.28/0.67 => ! [X5: produc1821101996_sc_sz] :
% 0.28/0.67 ( ( member1057565379_sc_sz @ X5 @ A )
% 0.28/0.67 => ( P @ ( F2 @ X5 ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % ball_imageD
% 0.28/0.67 thf(fact_289_ball__imageD,axiom,
% 0.28/0.67 ! [F2: produc1821101996_sc_sz > produc999471430t_unit,A: set_Pr1169339874_sc_sz,P: produc999471430t_unit > $o] :
% 0.28/0.67 ( ! [X3: produc999471430t_unit] :
% 0.28/0.67 ( ( member235934813t_unit @ X3 @ ( image_904562809t_unit @ F2 @ A ) )
% 0.28/0.67 => ( P @ X3 ) )
% 0.28/0.67 => ! [X5: produc1821101996_sc_sz] :
% 0.28/0.67 ( ( member1057565379_sc_sz @ X5 @ A )
% 0.28/0.67 => ( P @ ( F2 @ X5 ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % ball_imageD
% 0.28/0.67 thf(fact_290_ball__imageD,axiom,
% 0.28/0.67 ! [F2: produc190496183real_c > produc1821101996_sc_sz,A: set_Pr1389752855real_c,P: produc1821101996_sc_sz > $o] :
% 0.28/0.67 ( ! [X3: produc1821101996_sc_sz] :
% 0.28/0.67 ( ( member1057565379_sc_sz @ X3 @ ( image_1259833374_sc_sz @ F2 @ A ) )
% 0.28/0.67 => ( P @ X3 ) )
% 0.28/0.67 => ! [X5: produc190496183real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ X5 @ A )
% 0.28/0.67 => ( P @ ( F2 @ X5 ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % ball_imageD
% 0.28/0.67 thf(fact_291_ball__imageD,axiom,
% 0.28/0.67 ! [F2: produc190496183real_c > produc190496183real_c,A: set_Pr1389752855real_c,P: produc190496183real_c > $o] :
% 0.28/0.67 ( ! [X3: produc190496183real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ X3 @ ( image_738229701real_c @ F2 @ A ) )
% 0.28/0.67 => ( P @ X3 ) )
% 0.28/0.67 => ! [X5: produc190496183real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ X5 @ A )
% 0.28/0.67 => ( P @ ( F2 @ X5 ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % ball_imageD
% 0.28/0.67 thf(fact_292_ball__imageD,axiom,
% 0.28/0.67 ! [F2: produc999471430t_unit > produc1821101996_sc_sz,A: set_Pr2041213564t_unit,P: produc1821101996_sc_sz > $o] :
% 0.28/0.67 ( ! [X3: produc1821101996_sc_sz] :
% 0.28/0.67 ( ( member1057565379_sc_sz @ X3 @ ( image_1426741113_sc_sz @ F2 @ A ) )
% 0.28/0.67 => ( P @ X3 ) )
% 0.28/0.67 => ! [X5: produc999471430t_unit] :
% 0.28/0.67 ( ( member235934813t_unit @ X5 @ A )
% 0.28/0.67 => ( P @ ( F2 @ X5 ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % ball_imageD
% 0.28/0.67 thf(fact_293_image__cong,axiom,
% 0.28/0.67 ! [M: set_Pr1389752855real_c,N: set_Pr1389752855real_c,F2: produc190496183real_c > produc1821101996_sc_sz,G: produc190496183real_c > produc1821101996_sc_sz] :
% 0.28/0.67 ( ( M = N )
% 0.28/0.67 => ( ! [X3: produc190496183real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ X3 @ N )
% 0.28/0.67 => ( ( F2 @ X3 )
% 0.28/0.67 = ( G @ X3 ) ) )
% 0.28/0.67 => ( ( image_1259833374_sc_sz @ F2 @ M )
% 0.28/0.67 = ( image_1259833374_sc_sz @ G @ N ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % image_cong
% 0.28/0.67 thf(fact_294_image__cong,axiom,
% 0.28/0.67 ! [M: set_Pr1389752855real_c,N: set_Pr1389752855real_c,F2: produc190496183real_c > produc190496183real_c,G: produc190496183real_c > produc190496183real_c] :
% 0.28/0.67 ( ( M = N )
% 0.28/0.67 => ( ! [X3: produc190496183real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ X3 @ N )
% 0.28/0.67 => ( ( F2 @ X3 )
% 0.28/0.67 = ( G @ X3 ) ) )
% 0.28/0.67 => ( ( image_738229701real_c @ F2 @ M )
% 0.28/0.67 = ( image_738229701real_c @ G @ N ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % image_cong
% 0.28/0.67 thf(fact_295_image__cong,axiom,
% 0.28/0.67 ! [M: set_Pr1169339874_sc_sz,N: set_Pr1169339874_sc_sz,F2: produc1821101996_sc_sz > produc190496183real_c,G: produc1821101996_sc_sz > produc190496183real_c] :
% 0.28/0.67 ( ( M = N )
% 0.28/0.67 => ( ! [X3: produc1821101996_sc_sz] :
% 0.28/0.67 ( ( member1057565379_sc_sz @ X3 @ N )
% 0.28/0.67 => ( ( F2 @ X3 )
% 0.28/0.67 = ( G @ X3 ) ) )
% 0.28/0.67 => ( ( image_386905412real_c @ F2 @ M )
% 0.28/0.67 = ( image_386905412real_c @ G @ N ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % image_cong
% 0.28/0.67 thf(fact_296_image__cong,axiom,
% 0.28/0.67 ! [M: set_Pr1169339874_sc_sz,N: set_Pr1169339874_sc_sz,F2: produc1821101996_sc_sz > produc999471430t_unit,G: produc1821101996_sc_sz > produc999471430t_unit] :
% 0.28/0.67 ( ( M = N )
% 0.28/0.67 => ( ! [X3: produc1821101996_sc_sz] :
% 0.28/0.67 ( ( member1057565379_sc_sz @ X3 @ N )
% 0.28/0.67 => ( ( F2 @ X3 )
% 0.28/0.67 = ( G @ X3 ) ) )
% 0.28/0.67 => ( ( image_904562809t_unit @ F2 @ M )
% 0.28/0.67 = ( image_904562809t_unit @ G @ N ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % image_cong
% 0.28/0.67 thf(fact_297_image__cong,axiom,
% 0.28/0.67 ! [M: set_Pr2041213564t_unit,N: set_Pr2041213564t_unit,F2: produc999471430t_unit > produc1821101996_sc_sz,G: produc999471430t_unit > produc1821101996_sc_sz] :
% 0.28/0.67 ( ( M = N )
% 0.28/0.67 => ( ! [X3: produc999471430t_unit] :
% 0.28/0.67 ( ( member235934813t_unit @ X3 @ N )
% 0.28/0.67 => ( ( F2 @ X3 )
% 0.28/0.67 = ( G @ X3 ) ) )
% 0.28/0.67 => ( ( image_1426741113_sc_sz @ F2 @ M )
% 0.28/0.67 = ( image_1426741113_sc_sz @ G @ N ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % image_cong
% 0.28/0.67 thf(fact_298_bex__imageD,axiom,
% 0.28/0.67 ! [F2: produc1821101996_sc_sz > produc190496183real_c,A: set_Pr1169339874_sc_sz,P: produc190496183real_c > $o] :
% 0.28/0.67 ( ? [X5: produc190496183real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ X5 @ ( image_386905412real_c @ F2 @ A ) )
% 0.28/0.67 & ( P @ X5 ) )
% 0.28/0.67 => ? [X3: produc1821101996_sc_sz] :
% 0.28/0.67 ( ( member1057565379_sc_sz @ X3 @ A )
% 0.28/0.67 & ( P @ ( F2 @ X3 ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % bex_imageD
% 0.28/0.67 thf(fact_299_bex__imageD,axiom,
% 0.28/0.67 ! [F2: produc1821101996_sc_sz > produc999471430t_unit,A: set_Pr1169339874_sc_sz,P: produc999471430t_unit > $o] :
% 0.28/0.67 ( ? [X5: produc999471430t_unit] :
% 0.28/0.67 ( ( member235934813t_unit @ X5 @ ( image_904562809t_unit @ F2 @ A ) )
% 0.28/0.67 & ( P @ X5 ) )
% 0.28/0.67 => ? [X3: produc1821101996_sc_sz] :
% 0.28/0.67 ( ( member1057565379_sc_sz @ X3 @ A )
% 0.28/0.67 & ( P @ ( F2 @ X3 ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % bex_imageD
% 0.28/0.67 thf(fact_300_bex__imageD,axiom,
% 0.28/0.67 ! [F2: produc190496183real_c > produc1821101996_sc_sz,A: set_Pr1389752855real_c,P: produc1821101996_sc_sz > $o] :
% 0.28/0.67 ( ? [X5: produc1821101996_sc_sz] :
% 0.28/0.67 ( ( member1057565379_sc_sz @ X5 @ ( image_1259833374_sc_sz @ F2 @ A ) )
% 0.28/0.67 & ( P @ X5 ) )
% 0.28/0.67 => ? [X3: produc190496183real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ X3 @ A )
% 0.28/0.67 & ( P @ ( F2 @ X3 ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % bex_imageD
% 0.28/0.67 thf(fact_301_bex__imageD,axiom,
% 0.28/0.67 ! [F2: produc190496183real_c > produc190496183real_c,A: set_Pr1389752855real_c,P: produc190496183real_c > $o] :
% 0.28/0.67 ( ? [X5: produc190496183real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ X5 @ ( image_738229701real_c @ F2 @ A ) )
% 0.28/0.67 & ( P @ X5 ) )
% 0.28/0.67 => ? [X3: produc190496183real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ X3 @ A )
% 0.28/0.67 & ( P @ ( F2 @ X3 ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % bex_imageD
% 0.28/0.67 thf(fact_302_bex__imageD,axiom,
% 0.28/0.67 ! [F2: produc999471430t_unit > produc1821101996_sc_sz,A: set_Pr2041213564t_unit,P: produc1821101996_sc_sz > $o] :
% 0.28/0.67 ( ? [X5: produc1821101996_sc_sz] :
% 0.28/0.67 ( ( member1057565379_sc_sz @ X5 @ ( image_1426741113_sc_sz @ F2 @ A ) )
% 0.28/0.67 & ( P @ X5 ) )
% 0.28/0.67 => ? [X3: produc999471430t_unit] :
% 0.28/0.67 ( ( member235934813t_unit @ X3 @ A )
% 0.28/0.67 & ( P @ ( F2 @ X3 ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % bex_imageD
% 0.28/0.67 thf(fact_303_image__iff,axiom,
% 0.28/0.67 ! [Z: produc190496183real_c,F2: produc1821101996_sc_sz > produc190496183real_c,A: set_Pr1169339874_sc_sz] :
% 0.28/0.67 ( ( member1895684704real_c @ Z @ ( image_386905412real_c @ F2 @ A ) )
% 0.28/0.67 = ( ? [X4: produc1821101996_sc_sz] :
% 0.28/0.67 ( ( member1057565379_sc_sz @ X4 @ A )
% 0.28/0.67 & ( Z
% 0.28/0.67 = ( F2 @ X4 ) ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % image_iff
% 0.28/0.67 thf(fact_304_image__iff,axiom,
% 0.28/0.67 ! [Z: produc190496183real_c,F2: produc190496183real_c > produc190496183real_c,A: set_Pr1389752855real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ Z @ ( image_738229701real_c @ F2 @ A ) )
% 0.28/0.67 = ( ? [X4: produc190496183real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ X4 @ A )
% 0.28/0.67 & ( Z
% 0.28/0.67 = ( F2 @ X4 ) ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % image_iff
% 0.28/0.67 thf(fact_305_image__iff,axiom,
% 0.28/0.67 ! [Z: produc1821101996_sc_sz,F2: produc190496183real_c > produc1821101996_sc_sz,A: set_Pr1389752855real_c] :
% 0.28/0.67 ( ( member1057565379_sc_sz @ Z @ ( image_1259833374_sc_sz @ F2 @ A ) )
% 0.28/0.67 = ( ? [X4: produc190496183real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ X4 @ A )
% 0.28/0.67 & ( Z
% 0.28/0.67 = ( F2 @ X4 ) ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % image_iff
% 0.28/0.67 thf(fact_306_image__iff,axiom,
% 0.28/0.67 ! [Z: produc1821101996_sc_sz,F2: produc999471430t_unit > produc1821101996_sc_sz,A: set_Pr2041213564t_unit] :
% 0.28/0.67 ( ( member1057565379_sc_sz @ Z @ ( image_1426741113_sc_sz @ F2 @ A ) )
% 0.28/0.67 = ( ? [X4: produc999471430t_unit] :
% 0.28/0.67 ( ( member235934813t_unit @ X4 @ A )
% 0.28/0.67 & ( Z
% 0.28/0.67 = ( F2 @ X4 ) ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % image_iff
% 0.28/0.67 thf(fact_307_image__iff,axiom,
% 0.28/0.67 ! [Z: produc999471430t_unit,F2: produc1821101996_sc_sz > produc999471430t_unit,A: set_Pr1169339874_sc_sz] :
% 0.28/0.67 ( ( member235934813t_unit @ Z @ ( image_904562809t_unit @ F2 @ A ) )
% 0.28/0.67 = ( ? [X4: produc1821101996_sc_sz] :
% 0.28/0.67 ( ( member1057565379_sc_sz @ X4 @ A )
% 0.28/0.67 & ( Z
% 0.28/0.67 = ( F2 @ X4 ) ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % image_iff
% 0.28/0.67 thf(fact_308_imageI,axiom,
% 0.28/0.67 ! [X: produc866628903_sc_sz,A: set_Pr1774599175_sc_sz,F2: produc866628903_sc_sz > produc190496183real_c] :
% 0.28/0.67 ( ( member245028432_sc_sz @ X @ A )
% 0.28/0.67 => ( member1895684704real_c @ ( F2 @ X ) @ ( image_1121381717real_c @ F2 @ A ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % imageI
% 0.28/0.67 thf(fact_309_imageI,axiom,
% 0.28/0.67 ! [X: produc866628903_sc_sz,A: set_Pr1774599175_sc_sz,F2: produc866628903_sc_sz > finite1398487019real_c] :
% 0.28/0.67 ( ( member245028432_sc_sz @ X @ A )
% 0.28/0.67 => ( member1261661570real_c @ ( F2 @ X ) @ ( image_1332486093real_c @ F2 @ A ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % imageI
% 0.28/0.67 thf(fact_310_imageI,axiom,
% 0.28/0.67 ! [X: produc866628903_sc_sz,A: set_Pr1774599175_sc_sz,F2: produc866628903_sc_sz > produc1821101996_sc_sz] :
% 0.28/0.67 ( ( member245028432_sc_sz @ X @ A )
% 0.28/0.67 => ( member1057565379_sc_sz @ ( F2 @ X ) @ ( image_226055310_sc_sz @ F2 @ A ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % imageI
% 0.28/0.67 thf(fact_311_imageI,axiom,
% 0.28/0.67 ! [X: produc866628903_sc_sz,A: set_Pr1774599175_sc_sz,F2: produc866628903_sc_sz > produc640052711real_c] :
% 0.28/0.67 ( ( member245028432_sc_sz @ X @ A )
% 0.28/0.67 => ( member346808080real_c @ ( F2 @ X ) @ ( image_768765061real_c @ F2 @ A ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % imageI
% 0.28/0.67 thf(fact_312_imageI,axiom,
% 0.28/0.67 ! [X: produc866628903_sc_sz,A: set_Pr1774599175_sc_sz,F2: produc866628903_sc_sz > produc999471430t_unit] :
% 0.28/0.67 ( ( member245028432_sc_sz @ X @ A )
% 0.28/0.67 => ( member235934813t_unit @ ( F2 @ X ) @ ( image_1551908392t_unit @ F2 @ A ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % imageI
% 0.28/0.67 thf(fact_313_imageI,axiom,
% 0.28/0.67 ! [X: produc866628903_sc_sz,A: set_Pr1774599175_sc_sz,F2: produc866628903_sc_sz > produc866628903_sc_sz] :
% 0.28/0.67 ( ( member245028432_sc_sz @ X @ A )
% 0.28/0.67 => ( member245028432_sc_sz @ ( F2 @ X ) @ ( image_1313166277_sc_sz @ F2 @ A ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % imageI
% 0.28/0.67 thf(fact_314_imageI,axiom,
% 0.28/0.67 ! [X: produc190496183real_c,A: set_Pr1389752855real_c,F2: produc190496183real_c > produc190496183real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ X @ A )
% 0.28/0.67 => ( member1895684704real_c @ ( F2 @ X ) @ ( image_738229701real_c @ F2 @ A ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % imageI
% 0.28/0.67 thf(fact_315_Compr__image__eq,axiom,
% 0.28/0.67 ! [F2: produc190496183real_c > produc190496183real_c,A: set_Pr1389752855real_c,P: produc190496183real_c > $o] :
% 0.28/0.67 ( ( collec1643251106real_c
% 0.28/0.67 @ ^ [X4: produc190496183real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ X4 @ ( image_738229701real_c @ F2 @ A ) )
% 0.28/0.67 & ( P @ X4 ) ) )
% 0.28/0.67 = ( image_738229701real_c @ F2
% 0.28/0.67 @ ( collec1643251106real_c
% 0.28/0.67 @ ^ [X4: produc190496183real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ X4 @ A )
% 0.28/0.67 & ( P @ ( F2 @ X4 ) ) ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % Compr_image_eq
% 0.28/0.67 thf(fact_316_imageE,axiom,
% 0.28/0.67 ! [B2: produc190496183real_c,F2: produc190496183real_c > produc190496183real_c,A: set_Pr1389752855real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ B2 @ ( image_738229701real_c @ F2 @ A ) )
% 0.28/0.67 => ~ ! [X3: produc190496183real_c] :
% 0.28/0.67 ( ( B2
% 0.28/0.67 = ( F2 @ X3 ) )
% 0.28/0.67 => ~ ( member1895684704real_c @ X3 @ A ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % imageE
% 0.28/0.67 thf(fact_317_case__prod__Pair__iden,axiom,
% 0.28/0.67 ! [P2: produc1821101996_sc_sz] :
% 0.28/0.67 ( ( produc448466487_sc_sz @ produc789536734_sc_sz @ P2 )
% 0.28/0.67 = P2 ) ).
% 0.28/0.67
% 0.28/0.67 % case_prod_Pair_iden
% 0.28/0.67 thf(fact_318_pred__equals__eq2,axiom,
% 0.28/0.67 ! [R2: set_Pr1389752855real_c,S4: set_Pr1389752855real_c] :
% 0.28/0.67 ( ( ( ^ [X4: finite1398487019real_c,Y4: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ X4 @ Y4 ) @ R2 ) )
% 0.28/0.67 = ( ^ [X4: finite1398487019real_c,Y4: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ X4 @ Y4 ) @ S4 ) ) )
% 0.28/0.67 = ( R2 = S4 ) ) ).
% 0.28/0.67
% 0.28/0.67 % pred_equals_eq2
% 0.28/0.67 thf(fact_319_pred__equals__eq2,axiom,
% 0.28/0.67 ! [R2: set_Pr1169339874_sc_sz,S4: set_Pr1169339874_sc_sz] :
% 0.28/0.67 ( ( ( ^ [X4: denota610675952t_unit,Y4: produc866628903_sc_sz] : ( member1057565379_sc_sz @ ( produc789536734_sc_sz @ X4 @ Y4 ) @ R2 ) )
% 0.28/0.67 = ( ^ [X4: denota610675952t_unit,Y4: produc866628903_sc_sz] : ( member1057565379_sc_sz @ ( produc789536734_sc_sz @ X4 @ Y4 ) @ S4 ) ) )
% 0.28/0.67 = ( R2 = S4 ) ) ).
% 0.28/0.67
% 0.28/0.67 % pred_equals_eq2
% 0.28/0.67 thf(fact_320_mem__Sigma__iff,axiom,
% 0.28/0.67 ! [A2: produc190496183real_c,B2: produc190496183real_c,A: set_Pr1389752855real_c,B: produc190496183real_c > set_Pr1389752855real_c] :
% 0.28/0.67 ( ( member346808080real_c @ ( produc1687028567real_c @ A2 @ B2 ) @ ( produc1017530376real_c @ A @ B ) )
% 0.28/0.67 = ( ( member1895684704real_c @ A2 @ A )
% 0.28/0.67 & ( member1895684704real_c @ B2 @ ( B @ A2 ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % mem_Sigma_iff
% 0.28/0.67 thf(fact_321_mem__Sigma__iff,axiom,
% 0.28/0.67 ! [A2: finite1398487019real_c,B2: finite1398487019real_c,A: set_Fi1407883041real_c,B: finite1398487019real_c > set_Fi1407883041real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ ( produc394644079real_c @ A2 @ B2 ) @ ( produc563345056real_c @ A @ B ) )
% 0.28/0.67 = ( ( member1261661570real_c @ A2 @ A )
% 0.28/0.67 & ( member1261661570real_c @ B2 @ ( B @ A2 ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % mem_Sigma_iff
% 0.28/0.67 thf(fact_322_mem__Sigma__iff,axiom,
% 0.28/0.67 ! [A2: denota610675952t_unit,B2: produc866628903_sc_sz,A: set_De208295462t_unit,B: denota610675952t_unit > set_Pr1774599175_sc_sz] :
% 0.28/0.67 ( ( member1057565379_sc_sz @ ( produc789536734_sc_sz @ A2 @ B2 ) @ ( produc159603053_sc_sz @ A @ B ) )
% 0.28/0.67 = ( ( member754147591t_unit @ A2 @ A )
% 0.28/0.67 & ( member245028432_sc_sz @ B2 @ ( B @ A2 ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % mem_Sigma_iff
% 0.28/0.67 thf(fact_323_SigmaI,axiom,
% 0.28/0.67 ! [A2: finite1398487019real_c,A: set_Fi1407883041real_c,B2: finite1398487019real_c,B: finite1398487019real_c > set_Fi1407883041real_c] :
% 0.28/0.67 ( ( member1261661570real_c @ A2 @ A )
% 0.28/0.67 => ( ( member1261661570real_c @ B2 @ ( B @ A2 ) )
% 0.28/0.67 => ( member1895684704real_c @ ( produc394644079real_c @ A2 @ B2 ) @ ( produc563345056real_c @ A @ B ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % SigmaI
% 0.28/0.67 thf(fact_324_SigmaI,axiom,
% 0.28/0.67 ! [A2: produc190496183real_c,A: set_Pr1389752855real_c,B2: produc190496183real_c,B: produc190496183real_c > set_Pr1389752855real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ A2 @ A )
% 0.28/0.67 => ( ( member1895684704real_c @ B2 @ ( B @ A2 ) )
% 0.28/0.67 => ( member346808080real_c @ ( produc1687028567real_c @ A2 @ B2 ) @ ( produc1017530376real_c @ A @ B ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % SigmaI
% 0.28/0.67 thf(fact_325_SigmaI,axiom,
% 0.28/0.67 ! [A2: denota610675952t_unit,A: set_De208295462t_unit,B2: produc866628903_sc_sz,B: denota610675952t_unit > set_Pr1774599175_sc_sz] :
% 0.28/0.67 ( ( member754147591t_unit @ A2 @ A )
% 0.28/0.67 => ( ( member245028432_sc_sz @ B2 @ ( B @ A2 ) )
% 0.28/0.67 => ( member1057565379_sc_sz @ ( produc789536734_sc_sz @ A2 @ B2 ) @ ( produc159603053_sc_sz @ A @ B ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % SigmaI
% 0.28/0.67 thf(fact_326_SigmaE2,axiom,
% 0.28/0.67 ! [A2: produc190496183real_c,B2: produc190496183real_c,A: set_Pr1389752855real_c,B: produc190496183real_c > set_Pr1389752855real_c] :
% 0.28/0.67 ( ( member346808080real_c @ ( produc1687028567real_c @ A2 @ B2 ) @ ( produc1017530376real_c @ A @ B ) )
% 0.28/0.67 => ~ ( ( member1895684704real_c @ A2 @ A )
% 0.28/0.67 => ~ ( member1895684704real_c @ B2 @ ( B @ A2 ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % SigmaE2
% 0.28/0.67 thf(fact_327_SigmaE2,axiom,
% 0.28/0.67 ! [A2: finite1398487019real_c,B2: finite1398487019real_c,A: set_Fi1407883041real_c,B: finite1398487019real_c > set_Fi1407883041real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ ( produc394644079real_c @ A2 @ B2 ) @ ( produc563345056real_c @ A @ B ) )
% 0.28/0.67 => ~ ( ( member1261661570real_c @ A2 @ A )
% 0.28/0.67 => ~ ( member1261661570real_c @ B2 @ ( B @ A2 ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % SigmaE2
% 0.28/0.67 thf(fact_328_SigmaE2,axiom,
% 0.28/0.67 ! [A2: denota610675952t_unit,B2: produc866628903_sc_sz,A: set_De208295462t_unit,B: denota610675952t_unit > set_Pr1774599175_sc_sz] :
% 0.28/0.67 ( ( member1057565379_sc_sz @ ( produc789536734_sc_sz @ A2 @ B2 ) @ ( produc159603053_sc_sz @ A @ B ) )
% 0.28/0.67 => ~ ( ( member754147591t_unit @ A2 @ A )
% 0.28/0.67 => ~ ( member245028432_sc_sz @ B2 @ ( B @ A2 ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % SigmaE2
% 0.28/0.67 thf(fact_329_SigmaD2,axiom,
% 0.28/0.67 ! [A2: finite1398487019real_c,B2: finite1398487019real_c,A: set_Fi1407883041real_c,B: finite1398487019real_c > set_Fi1407883041real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ ( produc394644079real_c @ A2 @ B2 ) @ ( produc563345056real_c @ A @ B ) )
% 0.28/0.67 => ( member1261661570real_c @ B2 @ ( B @ A2 ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % SigmaD2
% 0.28/0.67 thf(fact_330_SigmaD2,axiom,
% 0.28/0.67 ! [A2: denota610675952t_unit,B2: produc866628903_sc_sz,A: set_De208295462t_unit,B: denota610675952t_unit > set_Pr1774599175_sc_sz] :
% 0.28/0.67 ( ( member1057565379_sc_sz @ ( produc789536734_sc_sz @ A2 @ B2 ) @ ( produc159603053_sc_sz @ A @ B ) )
% 0.28/0.67 => ( member245028432_sc_sz @ B2 @ ( B @ A2 ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % SigmaD2
% 0.28/0.67 thf(fact_331_SigmaD1,axiom,
% 0.28/0.67 ! [A2: finite1398487019real_c,B2: finite1398487019real_c,A: set_Fi1407883041real_c,B: finite1398487019real_c > set_Fi1407883041real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ ( produc394644079real_c @ A2 @ B2 ) @ ( produc563345056real_c @ A @ B ) )
% 0.28/0.67 => ( member1261661570real_c @ A2 @ A ) ) ).
% 0.28/0.67
% 0.28/0.67 % SigmaD1
% 0.28/0.67 thf(fact_332_SigmaD1,axiom,
% 0.28/0.67 ! [A2: denota610675952t_unit,B2: produc866628903_sc_sz,A: set_De208295462t_unit,B: denota610675952t_unit > set_Pr1774599175_sc_sz] :
% 0.28/0.67 ( ( member1057565379_sc_sz @ ( produc789536734_sc_sz @ A2 @ B2 ) @ ( produc159603053_sc_sz @ A @ B ) )
% 0.28/0.67 => ( member754147591t_unit @ A2 @ A ) ) ).
% 0.28/0.67
% 0.28/0.67 % SigmaD1
% 0.28/0.67 thf(fact_333_SigmaE,axiom,
% 0.28/0.67 ! [C2: produc640052711real_c,A: set_Pr1389752855real_c,B: produc190496183real_c > set_Pr1389752855real_c] :
% 0.28/0.67 ( ( member346808080real_c @ C2 @ ( produc1017530376real_c @ A @ B ) )
% 0.28/0.67 => ~ ! [X3: produc190496183real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ X3 @ A )
% 0.28/0.67 => ! [Y3: produc190496183real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ Y3 @ ( B @ X3 ) )
% 0.28/0.67 => ( C2
% 0.28/0.67 != ( produc1687028567real_c @ X3 @ Y3 ) ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % SigmaE
% 0.28/0.67 thf(fact_334_SigmaE,axiom,
% 0.28/0.67 ! [C2: produc190496183real_c,A: set_Fi1407883041real_c,B: finite1398487019real_c > set_Fi1407883041real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ C2 @ ( produc563345056real_c @ A @ B ) )
% 0.28/0.67 => ~ ! [X3: finite1398487019real_c] :
% 0.28/0.67 ( ( member1261661570real_c @ X3 @ A )
% 0.28/0.67 => ! [Y3: finite1398487019real_c] :
% 0.28/0.67 ( ( member1261661570real_c @ Y3 @ ( B @ X3 ) )
% 0.28/0.67 => ( C2
% 0.28/0.67 != ( produc394644079real_c @ X3 @ Y3 ) ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % SigmaE
% 0.28/0.67 thf(fact_335_SigmaE,axiom,
% 0.28/0.67 ! [C2: produc1821101996_sc_sz,A: set_De208295462t_unit,B: denota610675952t_unit > set_Pr1774599175_sc_sz] :
% 0.28/0.67 ( ( member1057565379_sc_sz @ C2 @ ( produc159603053_sc_sz @ A @ B ) )
% 0.28/0.67 => ~ ! [X3: denota610675952t_unit] :
% 0.28/0.67 ( ( member754147591t_unit @ X3 @ A )
% 0.28/0.67 => ! [Y3: produc866628903_sc_sz] :
% 0.28/0.67 ( ( member245028432_sc_sz @ Y3 @ ( B @ X3 ) )
% 0.28/0.67 => ( C2
% 0.28/0.67 != ( produc789536734_sc_sz @ X3 @ Y3 ) ) ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % SigmaE
% 0.28/0.67 thf(fact_336_swap__product,axiom,
% 0.28/0.67 ! [A: set_Pr1774599175_sc_sz,B: set_De208295462t_unit] :
% 0.28/0.67 ( ( image_1426741113_sc_sz
% 0.28/0.67 @ ( produc435149849_sc_sz
% 0.28/0.67 @ ^ [I4: produc866628903_sc_sz,J2: denota610675952t_unit] : ( produc789536734_sc_sz @ J2 @ I4 ) )
% 0.28/0.67 @ ( produc2020166735t_unit @ A
% 0.28/0.67 @ ^ [Uu: produc866628903_sc_sz] : B ) )
% 0.28/0.67 = ( produc159603053_sc_sz @ B
% 0.28/0.67 @ ^ [Uu: denota610675952t_unit] : A ) ) ).
% 0.28/0.67
% 0.28/0.67 % swap_product
% 0.28/0.67 thf(fact_337_member__product,axiom,
% 0.28/0.67 ! [X: produc190496183real_c,A: set_Fi1407883041real_c,B: set_Fi1407883041real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ X @ ( produc3751594real_c @ A @ B ) )
% 0.28/0.67 = ( member1895684704real_c @ X
% 0.28/0.67 @ ( produc563345056real_c @ A
% 0.28/0.67 @ ^ [Uu: finite1398487019real_c] : B ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % member_product
% 0.28/0.67 thf(fact_338_map__prod__simp,axiom,
% 0.28/0.67 ! [F2: denota610675952t_unit > denota610675952t_unit,G: produc866628903_sc_sz > produc866628903_sc_sz,A2: denota610675952t_unit,B2: produc866628903_sc_sz] :
% 0.28/0.67 ( ( produc403791768_sc_sz @ F2 @ G @ ( produc789536734_sc_sz @ A2 @ B2 ) )
% 0.28/0.67 = ( produc789536734_sc_sz @ ( F2 @ A2 ) @ ( G @ B2 ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % map_prod_simp
% 0.28/0.67 thf(fact_339_in__inv__image,axiom,
% 0.28/0.67 ! [X: finite1398487019real_c,Y: finite1398487019real_c,R: set_Pr1389752855real_c,F2: finite1398487019real_c > finite1398487019real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ ( produc394644079real_c @ X @ Y ) @ ( inv_im1827249322real_c @ R @ F2 ) )
% 0.28/0.67 = ( member1895684704real_c @ ( produc394644079real_c @ ( F2 @ X ) @ ( F2 @ Y ) ) @ R ) ) ).
% 0.28/0.67
% 0.28/0.67 % in_inv_image
% 0.28/0.67 thf(fact_340_map__prod__imageI,axiom,
% 0.28/0.67 ! [A2: finite1398487019real_c,B2: finite1398487019real_c,R2: set_Pr1389752855real_c,F2: finite1398487019real_c > finite1398487019real_c,G: finite1398487019real_c > finite1398487019real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ ( produc394644079real_c @ A2 @ B2 ) @ R2 )
% 0.28/0.67 => ( member1895684704real_c @ ( produc394644079real_c @ ( F2 @ A2 ) @ ( G @ B2 ) ) @ ( image_738229701real_c @ ( produc368345510real_c @ F2 @ G ) @ R2 ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % map_prod_imageI
% 0.28/0.67 thf(fact_341_map__prod__imageI,axiom,
% 0.28/0.67 ! [A2: finite1398487019real_c,B2: finite1398487019real_c,R2: set_Pr1389752855real_c,F2: finite1398487019real_c > denota610675952t_unit,G: finite1398487019real_c > produc866628903_sc_sz] :
% 0.28/0.67 ( ( member1895684704real_c @ ( produc394644079real_c @ A2 @ B2 ) @ R2 )
% 0.28/0.67 => ( member1057565379_sc_sz @ ( produc789536734_sc_sz @ ( F2 @ A2 ) @ ( G @ B2 ) ) @ ( image_1259833374_sc_sz @ ( produc1784590311_sc_sz @ F2 @ G ) @ R2 ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % map_prod_imageI
% 0.28/0.67 thf(fact_342_map__prod__imageI,axiom,
% 0.28/0.67 ! [A2: denota610675952t_unit,B2: produc866628903_sc_sz,R2: set_Pr1169339874_sc_sz,F2: denota610675952t_unit > finite1398487019real_c,G: produc866628903_sc_sz > finite1398487019real_c] :
% 0.28/0.67 ( ( member1057565379_sc_sz @ ( produc789536734_sc_sz @ A2 @ B2 ) @ R2 )
% 0.28/0.67 => ( member1895684704real_c @ ( produc394644079real_c @ ( F2 @ A2 ) @ ( G @ B2 ) ) @ ( image_386905412real_c @ ( produc1612557567real_c @ F2 @ G ) @ R2 ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % map_prod_imageI
% 0.28/0.67 thf(fact_343_map__prod__imageI,axiom,
% 0.28/0.67 ! [A2: denota610675952t_unit,B2: produc866628903_sc_sz,R2: set_Pr1169339874_sc_sz,F2: denota610675952t_unit > denota610675952t_unit,G: produc866628903_sc_sz > produc866628903_sc_sz] :
% 0.28/0.67 ( ( member1057565379_sc_sz @ ( produc789536734_sc_sz @ A2 @ B2 ) @ R2 )
% 0.28/0.67 => ( member1057565379_sc_sz @ ( produc789536734_sc_sz @ ( F2 @ A2 ) @ ( G @ B2 ) ) @ ( image_1726193375_sc_sz @ ( produc403791768_sc_sz @ F2 @ G ) @ R2 ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % map_prod_imageI
% 0.28/0.67 thf(fact_344_prod__fun__imageE,axiom,
% 0.28/0.67 ! [C2: produc190496183real_c,F2: finite1398487019real_c > finite1398487019real_c,G: finite1398487019real_c > finite1398487019real_c,R2: set_Pr1389752855real_c] :
% 0.28/0.67 ( ( member1895684704real_c @ C2 @ ( image_738229701real_c @ ( produc368345510real_c @ F2 @ G ) @ R2 ) )
% 0.28/0.67 => ~ ! [X3: finite1398487019real_c,Y3: finite1398487019real_c] :
% 0.28/0.67 ( ( C2
% 0.28/0.67 = ( produc394644079real_c @ ( F2 @ X3 ) @ ( G @ Y3 ) ) )
% 0.28/0.67 => ~ ( member1895684704real_c @ ( produc394644079real_c @ X3 @ Y3 ) @ R2 ) ) ) ).
% 0.28/0.67
% 0.28/0.67 % prod_fun_imageE
% 0.28/0.67 thf(fact_345_prod__fun__imageE,axiom,
% 0.28/0.67 ! [C2: produc190496183real_c,F2: denota610675952t_unit > finite1398487019real_c,G: produc866628903_sc_sz > finite1398487019real_c,R2: set_Pr1169339874_sc_sz] :
% 0.28/0.67 ( ( member1895684704real_c @ C2 @ ( image_386905412real_c @ ( produc1612557567real_c @ F2 @ G ) @ R2 ) )
% 0.28/0.67 => ~ ! [X3: denota610675952t_unit,Y3: produc866628903_sc_sz] :
% 0.56/0.75 ( ( C2
% 0.56/0.75 = ( produc394644079real_c @ ( F2 @ X3 ) @ ( G @ Y3 ) ) )
% 0.56/0.75 => ~ ( member1057565379_sc_sz @ ( produc789536734_sc_sz @ X3 @ Y3 ) @ R2 ) ) ) ).
% 0.56/0.75
% 0.56/0.75 % prod_fun_imageE
% 0.56/0.75 thf(fact_346_prod__fun__imageE,axiom,
% 0.56/0.75 ! [C2: produc1821101996_sc_sz,F2: finite1398487019real_c > denota610675952t_unit,G: finite1398487019real_c > produc866628903_sc_sz,R2: set_Pr1389752855real_c] :
% 0.56/0.75 ( ( member1057565379_sc_sz @ C2 @ ( image_1259833374_sc_sz @ ( produc1784590311_sc_sz @ F2 @ G ) @ R2 ) )
% 0.56/0.75 => ~ ! [X3: finite1398487019real_c,Y3: finite1398487019real_c] :
% 0.56/0.75 ( ( C2
% 0.56/0.75 = ( produc789536734_sc_sz @ ( F2 @ X3 ) @ ( G @ Y3 ) ) )
% 0.56/0.75 => ~ ( member1895684704real_c @ ( produc394644079real_c @ X3 @ Y3 ) @ R2 ) ) ) ).
% 0.56/0.75
% 0.56/0.75 % prod_fun_imageE
% 0.56/0.75 thf(fact_347_prod__fun__imageE,axiom,
% 0.56/0.75 ! [C2: produc1821101996_sc_sz,F2: denota610675952t_unit > denota610675952t_unit,G: produc866628903_sc_sz > produc866628903_sc_sz,R2: set_Pr1169339874_sc_sz] :
% 0.56/0.75 ( ( member1057565379_sc_sz @ C2 @ ( image_1726193375_sc_sz @ ( produc403791768_sc_sz @ F2 @ G ) @ R2 ) )
% 0.56/0.75 => ~ ! [X3: denota610675952t_unit,Y3: produc866628903_sc_sz] :
% 0.56/0.75 ( ( C2
% 0.56/0.75 = ( produc789536734_sc_sz @ ( F2 @ X3 ) @ ( G @ Y3 ) ) )
% 0.56/0.75 => ~ ( member1057565379_sc_sz @ ( produc789536734_sc_sz @ X3 @ Y3 ) @ R2 ) ) ) ).
% 0.56/0.75
% 0.56/0.75 % prod_fun_imageE
% 0.56/0.75 thf(fact_348_Vagree__univ,axiom,
% 0.56/0.75 ! [A2: finite1398487019real_c,B2: finite1398487019real_c,C2: finite1398487019real_c,D: finite1398487019real_c] :
% 0.56/0.75 ( ( denota1997846518gree_c @ ( produc394644079real_c @ A2 @ B2 ) @ ( produc394644079real_c @ C2 @ D ) @ top_to1660572043um_c_c )
% 0.56/0.75 => ( ( A2 = C2 )
% 0.56/0.75 & ( B2 = D ) ) ) ).
% 0.56/0.75
% 0.56/0.75 % Vagree_univ
% 0.56/0.75 thf(fact_349_agree__UNIV__eq,axiom,
% 0.56/0.75 ! [Nu3: produc190496183real_c,Omega: produc190496183real_c] :
% 0.56/0.75 ( ( denota1997846518gree_c @ Nu3 @ Omega @ top_to1660572043um_c_c )
% 0.56/0.75 => ( Nu3 = Omega ) ) ).
% 0.56/0.75
% 0.56/0.75 % agree_UNIV_eq
% 0.56/0.75 thf(fact_350_top__empty__eq2,axiom,
% 0.56/0.75 ( top_to964419200al_c_o
% 0.56/0.75 = ( ^ [X4: finite1398487019real_c,Y4: finite1398487019real_c] : ( member1895684704real_c @ ( produc394644079real_c @ X4 @ Y4 ) @ top_to226056039real_c ) ) ) ).
% 0.56/0.75
% 0.56/0.75 % top_empty_eq2
% 0.56/0.75 thf(fact_351_top__empty__eq2,axiom,
% 0.56/0.75 ( top_to1399053141c_sz_o
% 0.56/0.75 = ( ^ [X4: denota610675952t_unit,Y4: produc866628903_sc_sz] : ( member1057565379_sc_sz @ ( produc789536734_sc_sz @ X4 @ Y4 ) @ top_to1499569298_sc_sz ) ) ) ).
% 0.56/0.75
% 0.56/0.75 % top_empty_eq2
% 0.56/0.75 thf(fact_352_fst__conv,axiom,
% 0.56/0.75 ! [X1: denota610675952t_unit,X2: produc866628903_sc_sz] :
% 0.56/0.75 ( ( produc1503602930_sc_sz @ ( produc789536734_sc_sz @ X1 @ X2 ) )
% 0.56/0.75 = X1 ) ).
% 0.56/0.75
% 0.56/0.75 % fst_conv
% 0.56/0.75 thf(fact_353_fst__eqD,axiom,
% 0.56/0.75 ! [X: denota610675952t_unit,Y: produc866628903_sc_sz,A2: denota610675952t_unit] :
% 0.56/0.75 ( ( ( produc1503602930_sc_sz @ ( produc789536734_sc_sz @ X @ Y ) )
% 0.56/0.75 = A2 )
% 0.56/0.75 => ( X = A2 ) ) ).
% 0.56/0.75
% 0.56/0.75 % fst_eqD
% 0.56/0.75
% 0.56/0.75 % Conjectures (1)
% 0.56/0.75 thf(conj_0,conjecture,
% 0.56/0.75 ( ( ! [Nu: produc190496183real_c,Nu2: produc190496183real_c,I: denota231621370t_unit,J: denota231621370t_unit] :
% 0.56/0.75 ( ( denota69106024_a_b_c @ I @ J @ ( static_SIGF_a_b_c @ phi ) )
% 0.56/0.75 => ( ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVF_a_b_c @ phi ) )
% 0.56/0.75 => ( ( member1895684704real_c @ Nu @ ( denota968303861_a_b_c @ I @ phi ) )
% 0.56/0.75 = ( member1895684704real_c @ Nu2 @ ( denota968303861_a_b_c @ J @ phi ) ) ) ) ) )
% 0.56/0.75 = ( ! [Nu: produc190496183real_c,Nu2: produc190496183real_c,I: denota231621370t_unit,J: denota231621370t_unit] :
% 0.56/0.75 ( ( denota69106024_a_b_c @ I @ J @ ( static_SIGF_a_b_c @ phi ) )
% 0.56/0.75 => ( ( denota1997846518gree_c @ Nu @ Nu2 @ ( static_FVF_a_b_c @ phi ) )
% 0.56/0.75 => ( ( member1895684704real_c @ Nu @ ( denota968303861_a_b_c @ I @ phi ) )
% 0.56/0.75 = ( member1895684704real_c @ Nu2 @ ( denota968303861_a_b_c @ J @ phi ) ) ) ) ) ) ) ).
% 0.56/0.75
% 0.56/0.75 %------------------------------------------------------------------------------
% 0.56/0.75 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.0pg8CQ7xtD/cvc5---1.0.5_30491.p...
% 0.56/0.75 (declare-sort $$unsorted 0)
% 0.56/0.75 (declare-sort tptp.set_Pr754230471real_c 0)
% 0.56/0.75 (declare-sort tptp.produc640052711real_c 0)
% 0.56/0.75 (declare-sort tptp.set_Pr2041213564t_unit 0)
% 0.56/0.75 (declare-sort tptp.set_Pr1169339874_sc_sz 0)
% 0.56/0.75 (declare-sort tptp.produc999471430t_unit 0)
% 0.56/0.75 (declare-sort tptp.produc1821101996_sc_sz 0)
% 0.56/0.75 (declare-sort tptp.set_Pr60491591eal_sz 0)
% 0.56/0.75 (declare-sort tptp.set_Pr1389752855real_c 0)
% 0.56/0.75 (declare-sort tptp.set_Pr1774599175_sc_sz 0)
% 0.56/0.75 (declare-sort tptp.produc1149990247eal_sz 0)
% 0.56/0.75 (declare-sort tptp.produc190496183real_c 0)
% 0.56/0.75 (declare-sort tptp.produc866628903_sc_sz 0)
% 0.56/0.75 (declare-sort tptp.set_De208295462t_unit 0)
% 0.56/0.75 (declare-sort tptp.denota610675952t_unit 0)
% 0.56/0.75 (declare-sort tptp.denota231621370t_unit 0)
% 0.56/0.75 (declare-sort tptp.set_Su1783761653um_b_c 0)
% 0.56/0.75 (declare-sort tptp.set_Fi1407883041real_c 0)
% 0.56/0.75 (declare-sort tptp.finite1398487019real_c 0)
% 0.56/0.75 (declare-sort tptp.list_f1238882004_sc_sz 0)
% 0.56/0.75 (declare-sort tptp.set_Sum_sum_c_c 0)
% 0.56/0.75 (declare-sort tptp.formula_sf_sc_sz 0)
% 0.56/0.75 (declare-sort tptp.formula_a_b_c 0)
% 0.56/0.75 (declare-sort tptp.set_o 0)
% 0.56/0.75 (declare-sort tptp.sz 0)
% 0.56/0.75 (declare-sort tptp.sf 0)
% 0.56/0.75 (declare-sort tptp.sc 0)
% 0.56/0.75 (declare-fun tptp.coinci501627771_a_b_c (tptp.formula_a_b_c) Bool)
% 0.56/0.75 (declare-fun tptp.denota69106024_a_b_c (tptp.denota231621370t_unit tptp.denota231621370t_unit tptp.set_Su1783761653um_b_c) Bool)
% 0.56/0.75 (declare-fun tptp.denota1997846518gree_c (tptp.produc190496183real_c tptp.produc190496183real_c tptp.set_Sum_sum_c_c) Bool)
% 0.56/0.75 (declare-fun tptp.denota968303861_a_b_c (tptp.denota231621370t_unit tptp.formula_a_b_c) tptp.set_Pr1389752855real_c)
% 0.56/0.75 (declare-fun tptp.denota1711272799_sc_sz (tptp.denota610675952t_unit tptp.formula_sf_sc_sz) tptp.set_Pr60491591eal_sz)
% 0.56/0.75 (declare-fun tptp.denota1946510237_sc_sz (tptp.formula_sf_sc_sz) Bool)
% 0.56/0.75 (declare-fun tptp.denota1579475975_sc_sz (tptp.denota610675952t_unit) Bool)
% 0.56/0.75 (declare-fun tptp.ids_sz_sf_sc (tptp.sz tptp.sz tptp.sz tptp.sf tptp.sf tptp.sf tptp.sc tptp.sc tptp.sc tptp.sc) Bool)
% 0.56/0.75 (declare-fun tptp.top_to1399053141c_sz_o (tptp.denota610675952t_unit tptp.produc866628903_sc_sz) Bool)
% 0.56/0.75 (declare-fun tptp.top_to964419200al_c_o (tptp.finite1398487019real_c tptp.finite1398487019real_c) Bool)
% 0.56/0.75 (declare-fun tptp.top_to1499569298_sc_sz () tptp.set_Pr1169339874_sc_sz)
% 0.56/0.75 (declare-fun tptp.top_to226056039real_c () tptp.set_Pr1389752855real_c)
% 0.56/0.75 (declare-fun tptp.top_to1660572043um_c_c () tptp.set_Sum_sum_c_c)
% 0.56/0.75 (declare-fun tptp.produc789536734_sc_sz (tptp.denota610675952t_unit tptp.produc866628903_sc_sz) tptp.produc1821101996_sc_sz)
% 0.56/0.75 (declare-fun tptp.produc394644079real_c (tptp.finite1398487019real_c tptp.finite1398487019real_c) tptp.produc190496183real_c)
% 0.56/0.75 (declare-fun tptp.produc1822718231_sc_sz (tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz) tptp.produc866628903_sc_sz)
% 0.56/0.75 (declare-fun tptp.produc1687028567real_c (tptp.produc190496183real_c tptp.produc190496183real_c) tptp.produc640052711real_c)
% 0.56/0.75 (declare-fun tptp.produc502616768t_unit (tptp.produc866628903_sc_sz tptp.denota610675952t_unit) tptp.produc999471430t_unit)
% 0.56/0.75 (declare-fun tptp.produc159603053_sc_sz (tptp.set_De208295462t_unit (-> tptp.denota610675952t_unit tptp.set_Pr1774599175_sc_sz)) tptp.set_Pr1169339874_sc_sz)
% 0.56/0.75 (declare-fun tptp.produc563345056real_c (tptp.set_Fi1407883041real_c (-> tptp.finite1398487019real_c tptp.set_Fi1407883041real_c)) tptp.set_Pr1389752855real_c)
% 0.56/0.75 (declare-fun tptp.produc1017530376real_c (tptp.set_Pr1389752855real_c (-> tptp.produc190496183real_c tptp.set_Pr1389752855real_c)) tptp.set_Pr754230471real_c)
% 0.56/0.75 (declare-fun tptp.produc2020166735t_unit (tptp.set_Pr1774599175_sc_sz (-> tptp.produc866628903_sc_sz tptp.set_De208295462t_unit)) tptp.set_Pr2041213564t_unit)
% 0.56/0.75 (declare-fun tptp.produc793407943_sc_sz ((-> tptp.denota610675952t_unit tptp.denota610675952t_unit) tptp.produc999471430t_unit) tptp.produc999471430t_unit)
% 0.56/0.75 (declare-fun tptp.produc981295297real_c ((-> tptp.finite1398487019real_c tptp.finite1398487019real_c) tptp.produc190496183real_c) tptp.produc190496183real_c)
% 0.56/0.75 (declare-fun tptp.produc233219286_sc_sz ((-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz) tptp.produc866628903_sc_sz) tptp.produc866628903_sc_sz)
% 0.56/0.75 (declare-fun tptp.produc2089853305real_c ((-> tptp.produc190496183real_c tptp.produc190496183real_c) tptp.produc640052711real_c) tptp.produc640052711real_c)
% 0.56/0.75 (declare-fun tptp.produc1959054510t_unit ((-> tptp.produc866628903_sc_sz tptp.produc866628903_sc_sz) tptp.produc1821101996_sc_sz) tptp.produc1821101996_sc_sz)
% 0.56/0.75 (declare-fun tptp.produc1086673900c_sz_o ((-> tptp.produc1821101996_sc_sz Bool) tptp.denota610675952t_unit tptp.produc866628903_sc_sz) Bool)
% 0.56/0.75 (declare-fun tptp.produc753314315real_c ((-> tptp.produc1821101996_sc_sz tptp.produc190496183real_c) tptp.denota610675952t_unit tptp.produc866628903_sc_sz) tptp.produc190496183real_c)
% 0.56/0.75 (declare-fun tptp.produc1827049067real_c ((-> tptp.produc1821101996_sc_sz tptp.set_Pr1389752855real_c) tptp.denota610675952t_unit tptp.produc866628903_sc_sz) tptp.set_Pr1389752855real_c)
% 0.56/0.75 (declare-fun tptp.produc1716060341al_c_o ((-> tptp.produc190496183real_c Bool) tptp.finite1398487019real_c tptp.finite1398487019real_c) Bool)
% 0.56/0.75 (declare-fun tptp.produc1119115220real_c ((-> tptp.produc190496183real_c tptp.produc190496183real_c) tptp.finite1398487019real_c tptp.finite1398487019real_c) tptp.produc190496183real_c)
% 0.56/0.75 (declare-fun tptp.produc880541325c_sz_o ((-> tptp.produc866628903_sc_sz Bool) tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz) Bool)
% 0.56/0.75 (declare-fun tptp.produc440529997al_c_o ((-> tptp.produc640052711real_c Bool) tptp.produc190496183real_c tptp.produc190496183real_c) Bool)
% 0.56/0.75 (declare-fun tptp.produc38128778unit_o ((-> tptp.produc999471430t_unit Bool) tptp.produc866628903_sc_sz tptp.denota610675952t_unit) Bool)
% 0.56/0.75 (declare-fun tptp.produc295339066_sc_sz ((-> tptp.produc999471430t_unit tptp.produc1821101996_sc_sz) tptp.produc866628903_sc_sz tptp.denota610675952t_unit) tptp.produc1821101996_sc_sz)
% 0.56/0.75 (declare-fun tptp.produc198687651c_sz_o ((-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz Bool) tptp.produc1821101996_sc_sz) Bool)
% 0.56/0.75 (declare-fun tptp.produc383750338real_c ((-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.produc190496183real_c) tptp.produc1821101996_sc_sz) tptp.produc190496183real_c)
% 0.56/0.75 (declare-fun tptp.produc1894848802real_c ((-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.set_Pr1389752855real_c) tptp.produc1821101996_sc_sz) tptp.set_Pr1389752855real_c)
% 0.56/0.75 (declare-fun tptp.produc1442549981real_c ((-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.produc190496183real_c) tptp.produc190496183real_c) tptp.produc190496183real_c)
% 0.56/0.75 (declare-fun tptp.produc2099580355_sc_sz ((-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit tptp.produc1821101996_sc_sz) tptp.produc999471430t_unit) tptp.produc1821101996_sc_sz)
% 0.56/0.75 (declare-fun tptp.produc403791768_sc_sz ((-> tptp.denota610675952t_unit tptp.denota610675952t_unit) (-> tptp.produc866628903_sc_sz tptp.produc866628903_sc_sz) tptp.produc1821101996_sc_sz) tptp.produc1821101996_sc_sz)
% 0.56/0.75 (declare-fun tptp.produc1612557567real_c ((-> tptp.denota610675952t_unit tptp.finite1398487019real_c) (-> tptp.produc866628903_sc_sz tptp.finite1398487019real_c) tptp.produc1821101996_sc_sz) tptp.produc190496183real_c)
% 0.56/0.75 (declare-fun tptp.produc1784590311_sc_sz ((-> tptp.finite1398487019real_c tptp.denota610675952t_unit) (-> tptp.finite1398487019real_c tptp.produc866628903_sc_sz) tptp.produc190496183real_c) tptp.produc1821101996_sc_sz)
% 0.56/0.75 (declare-fun tptp.produc368345510real_c ((-> tptp.finite1398487019real_c tptp.finite1398487019real_c) (-> tptp.finite1398487019real_c tptp.finite1398487019real_c) tptp.produc190496183real_c) tptp.produc190496183real_c)
% 0.56/0.75 (declare-fun tptp.produc619560141c_sz_o ((-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz Bool) tptp.produc1821101996_sc_sz) Bool)
% 0.56/0.75 (declare-fun tptp.produc1920474870real_c ((-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.finite1398487019real_c) tptp.produc1821101996_sc_sz) tptp.finite1398487019real_c)
% 0.56/0.75 (declare-fun tptp.produc448466487_sc_sz ((-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.produc1821101996_sc_sz) tptp.produc1821101996_sc_sz) tptp.produc1821101996_sc_sz)
% 0.56/0.75 (declare-fun tptp.produc1575513068real_c ((-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.produc190496183real_c) tptp.produc1821101996_sc_sz) tptp.produc190496183real_c)
% 0.56/0.75 (declare-fun tptp.produc2068697644real_c ((-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.set_Fi1407883041real_c) tptp.produc1821101996_sc_sz) tptp.set_Fi1407883041real_c)
% 0.56/0.75 (declare-fun tptp.produc237521996real_c ((-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.set_Pr1389752855real_c) tptp.produc1821101996_sc_sz) tptp.set_Pr1389752855real_c)
% 0.56/0.75 (declare-fun tptp.produc353381908al_c_o ((-> tptp.finite1398487019real_c tptp.finite1398487019real_c Bool) tptp.produc190496183real_c) Bool)
% 0.56/0.75 (declare-fun tptp.produc567249007real_c ((-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.finite1398487019real_c) tptp.produc190496183real_c) tptp.finite1398487019real_c)
% 0.56/0.75 (declare-fun tptp.produc107375667real_c ((-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.produc190496183real_c) tptp.produc190496183real_c) tptp.produc190496183real_c)
% 0.56/0.75 (declare-fun tptp.produc1341776291_sc_sz ((-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.produc866628903_sc_sz) tptp.produc190496183real_c) tptp.produc866628903_sc_sz)
% 0.56/0.75 (declare-fun tptp.produc29022117real_c ((-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.set_Fi1407883041real_c) tptp.produc190496183real_c) tptp.set_Fi1407883041real_c)
% 0.56/0.75 (declare-fun tptp.produc923381907real_c ((-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.set_Pr1389752855real_c) tptp.produc190496183real_c) tptp.set_Pr1389752855real_c)
% 0.56/0.75 (declare-fun tptp.produc642283651_sc_sz ((-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.set_Pr1774599175_sc_sz) tptp.produc190496183real_c) tptp.set_Pr1774599175_sc_sz)
% 0.56/0.75 (declare-fun tptp.produc2039065452c_sz_o ((-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz Bool) tptp.produc866628903_sc_sz) Bool)
% 0.56/0.75 (declare-fun tptp.produc236226839real_c ((-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz tptp.finite1398487019real_c) tptp.produc866628903_sc_sz) tptp.finite1398487019real_c)
% 0.56/0.75 (declare-fun tptp.produc126255499real_c ((-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz tptp.produc190496183real_c) tptp.produc866628903_sc_sz) tptp.produc190496183real_c)
% 0.56/0.75 (declare-fun tptp.produc1449736269real_c ((-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz tptp.set_Fi1407883041real_c) tptp.produc866628903_sc_sz) tptp.set_Fi1407883041real_c)
% 0.56/0.75 (declare-fun tptp.produc6841835real_c ((-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz tptp.set_Pr1389752855real_c) tptp.produc866628903_sc_sz) tptp.set_Pr1389752855real_c)
% 0.56/0.75 (declare-fun tptp.produc1563580891_sc_sz ((-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz tptp.set_Pr1774599175_sc_sz) tptp.produc866628903_sc_sz) tptp.set_Pr1774599175_sc_sz)
% 0.56/0.75 (declare-fun tptp.produc1726730540al_c_o ((-> tptp.produc190496183real_c tptp.produc190496183real_c Bool) tptp.produc640052711real_c) Bool)
% 0.56/0.75 (declare-fun tptp.produc344593239real_c ((-> tptp.produc190496183real_c tptp.produc190496183real_c tptp.finite1398487019real_c) tptp.produc640052711real_c) tptp.finite1398487019real_c)
% 0.56/0.75 (declare-fun tptp.produc1066779277real_c ((-> tptp.produc190496183real_c tptp.produc190496183real_c tptp.set_Fi1407883041real_c) tptp.produc640052711real_c) tptp.set_Fi1407883041real_c)
% 0.56/0.75 (declare-fun tptp.produc1718498667unit_o ((-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit Bool) tptp.produc999471430t_unit) Bool)
% 0.56/0.75 (declare-fun tptp.produc1753599960real_c ((-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit tptp.finite1398487019real_c) tptp.produc999471430t_unit) tptp.finite1398487019real_c)
% 0.56/0.75 (declare-fun tptp.produc435149849_sc_sz ((-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit tptp.produc1821101996_sc_sz) tptp.produc999471430t_unit) tptp.produc1821101996_sc_sz)
% 0.56/0.75 (declare-fun tptp.produc645763722real_c ((-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit tptp.produc190496183real_c) tptp.produc999471430t_unit) tptp.produc190496183real_c)
% 0.56/0.75 (declare-fun tptp.produc1368849166real_c ((-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit tptp.set_Fi1407883041real_c) tptp.produc999471430t_unit) tptp.set_Fi1407883041real_c)
% 0.56/0.75 (declare-fun tptp.produc593754858real_c ((-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit tptp.set_Pr1389752855real_c) tptp.produc999471430t_unit) tptp.set_Pr1389752855real_c)
% 0.56/0.75 (declare-fun tptp.produc1503602930_sc_sz (tptp.produc1821101996_sc_sz) tptp.denota610675952t_unit)
% 0.56/0.75 (declare-fun tptp.produc532048446_sc_sz (tptp.produc1821101996_sc_sz) tptp.produc999471430t_unit)
% 0.56/0.75 (declare-fun tptp.produc704157711real_c (tptp.produc190496183real_c) tptp.produc190496183real_c)
% 0.56/0.75 (declare-fun tptp.produc1145837239_sc_sz (tptp.produc866628903_sc_sz) tptp.produc866628903_sc_sz)
% 0.56/0.75 (declare-fun tptp.produc350724343real_c (tptp.produc640052711real_c) tptp.produc640052711real_c)
% 0.56/0.75 (declare-fun tptp.produc245128480t_unit (tptp.produc999471430t_unit) tptp.produc1821101996_sc_sz)
% 0.56/0.75 (declare-fun tptp.produc3751594real_c (tptp.set_Fi1407883041real_c tptp.set_Fi1407883041real_c) tptp.set_Pr1389752855real_c)
% 0.56/0.75 (declare-fun tptp.inv_im1827249322real_c (tptp.set_Pr1389752855real_c (-> tptp.finite1398487019real_c tptp.finite1398487019real_c)) tptp.set_Pr1389752855real_c)
% 0.56/0.75 (declare-fun tptp.collec230941376real_c ((-> tptp.finite1398487019real_c Bool)) tptp.set_Fi1407883041real_c)
% 0.56/0.75 (declare-fun tptp.collec1199592193_sc_sz ((-> tptp.produc1821101996_sc_sz Bool)) tptp.set_Pr1169339874_sc_sz)
% 0.56/0.75 (declare-fun tptp.collec1643251106real_c ((-> tptp.produc190496183real_c Bool)) tptp.set_Pr1389752855real_c)
% 0.56/0.75 (declare-fun tptp.collec2036662930_sc_sz ((-> tptp.produc866628903_sc_sz Bool)) tptp.set_Pr1774599175_sc_sz)
% 0.56/0.75 (declare-fun tptp.collec1126017874real_c ((-> tptp.produc640052711real_c Bool)) tptp.set_Pr754230471real_c)
% 0.56/0.75 (declare-fun tptp.collec377961627t_unit ((-> tptp.produc999471430t_unit Bool)) tptp.set_Pr2041213564t_unit)
% 0.56/0.75 (declare-fun tptp.image_1514048989real_c ((-> tptp.finite1398487019real_c tptp.finite1398487019real_c) tptp.set_Fi1407883041real_c) tptp.set_Fi1407883041real_c)
% 0.56/0.75 (declare-fun tptp.image_1461287749real_c ((-> tptp.finite1398487019real_c tptp.produc190496183real_c) tptp.set_Fi1407883041real_c) tptp.set_Pr1389752855real_c)
% 0.56/0.75 (declare-fun tptp.image_290183605_sc_sz ((-> tptp.finite1398487019real_c tptp.produc866628903_sc_sz) tptp.set_Fi1407883041real_c) tptp.set_Pr1774599175_sc_sz)
% 0.56/0.75 (declare-fun tptp.image_1746662005real_c ((-> tptp.finite1398487019real_c tptp.produc640052711real_c) tptp.set_Fi1407883041real_c) tptp.set_Pr754230471real_c)
% 0.56/0.75 (declare-fun tptp.image_1641704997c_sz_o ((-> tptp.produc1821101996_sc_sz Bool) tptp.set_Pr1169339874_sc_sz) tptp.set_o)
% 0.56/0.75 (declare-fun tptp.image_1268968350real_c ((-> tptp.produc1821101996_sc_sz tptp.finite1398487019real_c) tptp.set_Pr1169339874_sc_sz) tptp.set_Fi1407883041real_c)
% 0.56/0.75 (declare-fun tptp.image_1726193375_sc_sz ((-> tptp.produc1821101996_sc_sz tptp.produc1821101996_sc_sz) tptp.set_Pr1169339874_sc_sz) tptp.set_Pr1169339874_sc_sz)
% 0.56/0.75 (declare-fun tptp.image_386905412real_c ((-> tptp.produc1821101996_sc_sz tptp.produc190496183real_c) tptp.set_Pr1169339874_sc_sz) tptp.set_Pr1389752855real_c)
% 0.56/0.75 (declare-fun tptp.image_904562809t_unit ((-> tptp.produc1821101996_sc_sz tptp.produc999471430t_unit) tptp.set_Pr1169339874_sc_sz) tptp.set_Pr2041213564t_unit)
% 0.56/0.75 (declare-fun tptp.image_14429021real_c ((-> tptp.produc190496183real_c tptp.finite1398487019real_c) tptp.set_Pr1389752855real_c) tptp.set_Fi1407883041real_c)
% 0.56/0.75 (declare-fun tptp.image_1259833374_sc_sz ((-> tptp.produc190496183real_c tptp.produc1821101996_sc_sz) tptp.set_Pr1389752855real_c) tptp.set_Pr1169339874_sc_sz)
% 0.56/0.75 (declare-fun tptp.image_738229701real_c ((-> tptp.produc190496183real_c tptp.produc190496183real_c) tptp.set_Pr1389752855real_c) tptp.set_Pr1389752855real_c)
% 0.56/0.75 (declare-fun tptp.image_388766773_sc_sz ((-> tptp.produc190496183real_c tptp.produc866628903_sc_sz) tptp.set_Pr1389752855real_c) tptp.set_Pr1774599175_sc_sz)
% 0.56/0.75 (declare-fun tptp.image_1332486093real_c ((-> tptp.produc866628903_sc_sz tptp.finite1398487019real_c) tptp.set_Pr1774599175_sc_sz) tptp.set_Fi1407883041real_c)
% 0.56/0.75 (declare-fun tptp.image_226055310_sc_sz ((-> tptp.produc866628903_sc_sz tptp.produc1821101996_sc_sz) tptp.set_Pr1774599175_sc_sz) tptp.set_Pr1169339874_sc_sz)
% 0.56/0.75 (declare-fun tptp.image_1121381717real_c ((-> tptp.produc866628903_sc_sz tptp.produc190496183real_c) tptp.set_Pr1774599175_sc_sz) tptp.set_Pr1389752855real_c)
% 0.56/0.75 (declare-fun tptp.image_1313166277_sc_sz ((-> tptp.produc866628903_sc_sz tptp.produc866628903_sc_sz) tptp.set_Pr1774599175_sc_sz) tptp.set_Pr1774599175_sc_sz)
% 0.56/0.75 (declare-fun tptp.image_768765061real_c ((-> tptp.produc866628903_sc_sz tptp.produc640052711real_c) tptp.set_Pr1774599175_sc_sz) tptp.set_Pr754230471real_c)
% 0.56/0.75 (declare-fun tptp.image_1551908392t_unit ((-> tptp.produc866628903_sc_sz tptp.produc999471430t_unit) tptp.set_Pr1774599175_sc_sz) tptp.set_Pr2041213564t_unit)
% 0.56/0.75 (declare-fun tptp.image_124598413real_c ((-> tptp.produc640052711real_c tptp.finite1398487019real_c) tptp.set_Pr754230471real_c) tptp.set_Fi1407883041real_c)
% 0.56/0.75 (declare-fun tptp.image_2041365445real_c ((-> tptp.produc640052711real_c tptp.produc640052711real_c) tptp.set_Pr754230471real_c) tptp.set_Pr754230471real_c)
% 0.56/0.75 (declare-fun tptp.image_1269062456real_c ((-> tptp.produc999471430t_unit tptp.finite1398487019real_c) tptp.set_Pr2041213564t_unit) tptp.set_Fi1407883041real_c)
% 0.56/0.75 (declare-fun tptp.image_1426741113_sc_sz ((-> tptp.produc999471430t_unit tptp.produc1821101996_sc_sz) tptp.set_Pr2041213564t_unit) tptp.set_Pr1169339874_sc_sz)
% 0.56/0.75 (declare-fun tptp.static_FVF_a_b_c (tptp.formula_a_b_c) tptp.set_Sum_sum_c_c)
% 0.56/0.75 (declare-fun tptp.static_SIGF_a_b_c (tptp.formula_a_b_c) tptp.set_Su1783761653um_b_c)
% 0.56/0.75 (declare-fun tptp.equiv_a_b_c (tptp.formula_a_b_c tptp.formula_a_b_c) tptp.formula_a_b_c)
% 0.56/0.75 (declare-fun tptp.implies_a_b_c (tptp.formula_a_b_c tptp.formula_a_b_c) tptp.formula_a_b_c)
% 0.56/0.75 (declare-fun tptp.predic913887884_sf_sz (tptp.sc) tptp.formula_sf_sc_sz)
% 0.56/0.75 (declare-fun tptp.p_sc_sf_sz (tptp.sc) tptp.formula_sf_sc_sz)
% 0.56/0.75 (declare-fun tptp.member_o (Bool tptp.set_o) Bool)
% 0.56/0.75 (declare-fun tptp.member754147591t_unit (tptp.denota610675952t_unit tptp.set_De208295462t_unit) Bool)
% 0.56/0.75 (declare-fun tptp.member1261661570real_c (tptp.finite1398487019real_c tptp.set_Fi1407883041real_c) Bool)
% 0.56/0.75 (declare-fun tptp.member1057565379_sc_sz (tptp.produc1821101996_sc_sz tptp.set_Pr1169339874_sc_sz) Bool)
% 0.56/0.75 (declare-fun tptp.member1895684704real_c (tptp.produc190496183real_c tptp.set_Pr1389752855real_c) Bool)
% 0.56/0.75 (declare-fun tptp.member630771088eal_sz (tptp.produc1149990247eal_sz tptp.set_Pr60491591eal_sz) Bool)
% 0.56/0.75 (declare-fun tptp.member245028432_sc_sz (tptp.produc866628903_sc_sz tptp.set_Pr1774599175_sc_sz) Bool)
% 0.56/0.75 (declare-fun tptp.member346808080real_c (tptp.produc640052711real_c tptp.set_Pr754230471real_c) Bool)
% 0.56/0.75 (declare-fun tptp.member235934813t_unit (tptp.produc999471430t_unit tptp.set_Pr2041213564t_unit) Bool)
% 0.56/0.75 (declare-fun tptp.phi () tptp.formula_a_b_c)
% 0.56/0.75 (assert (= tptp.coinci501627771_a_b_c (lambda ((Phi tptp.formula_a_b_c)) (forall ((Nu tptp.produc190496183real_c) (Nu2 tptp.produc190496183real_c) (I tptp.denota231621370t_unit) (J tptp.denota231621370t_unit)) (=> (@ (@ (@ tptp.denota69106024_a_b_c I) J) (@ tptp.static_SIGF_a_b_c Phi)) (=> (@ (@ (@ tptp.denota1997846518gree_c Nu) Nu2) (@ tptp.static_FVF_a_b_c Phi)) (= (@ (@ tptp.member1895684704real_c Nu) (@ (@ tptp.denota968303861_a_b_c I) Phi)) (@ (@ tptp.member1895684704real_c Nu2) (@ (@ tptp.denota968303861_a_b_c J) Phi)))))))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc) (Phi2 tptp.formula_a_b_c)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (= (@ tptp.coinci501627771_a_b_c Phi2) (forall ((Nu tptp.produc190496183real_c) (Nu2 tptp.produc190496183real_c) (I tptp.denota231621370t_unit) (J tptp.denota231621370t_unit)) (=> (@ (@ (@ tptp.denota69106024_a_b_c I) J) (@ tptp.static_SIGF_a_b_c Phi2)) (=> (@ (@ (@ tptp.denota1997846518gree_c Nu) Nu2) (@ tptp.static_FVF_a_b_c Phi2)) (= (@ (@ tptp.member1895684704real_c Nu) (@ (@ tptp.denota968303861_a_b_c I) Phi2)) (@ (@ tptp.member1895684704real_c Nu2) (@ (@ tptp.denota968303861_a_b_c J) Phi2))))))))))
% 0.56/0.75 (assert (forall ((A tptp.denota231621370t_unit) (B tptp.denota231621370t_unit) (V tptp.set_Su1783761653um_b_c)) (=> (@ (@ (@ tptp.denota69106024_a_b_c A) B) V) (@ (@ (@ tptp.denota69106024_a_b_c B) A) V))))
% 0.56/0.75 (assert (forall ((I2 tptp.denota231621370t_unit) (A tptp.set_Su1783761653um_b_c)) (@ (@ (@ tptp.denota69106024_a_b_c I2) I2) A)))
% 0.56/0.75 (assert (forall ((A tptp.produc190496183real_c) (B tptp.produc190496183real_c) (V tptp.set_Sum_sum_c_c)) (=> (@ (@ (@ tptp.denota1997846518gree_c A) B) V) (@ (@ (@ tptp.denota1997846518gree_c B) A) V))))
% 0.56/0.75 (assert (forall ((Nu3 tptp.produc190496183real_c) (A tptp.set_Sum_sum_c_c)) (@ (@ (@ tptp.denota1997846518gree_c Nu3) Nu3) A)))
% 0.56/0.75 (assert (forall ((Nu3 tptp.produc190496183real_c) (I2 tptp.denota231621370t_unit) (A tptp.formula_a_b_c) (B tptp.formula_a_b_c)) (let ((_let_1 (@ tptp.denota968303861_a_b_c I2))) (let ((_let_2 (@ tptp.member1895684704real_c Nu3))) (let ((_let_3 (@ _let_2 (@ _let_1 A)))) (let ((_let_4 (@ _let_2 (@ _let_1 B)))) (= (= _let_3 _let_4) (and (=> _let_3 _let_4) (=> _let_4 _let_3)))))))))
% 0.56/0.75 (assert (forall ((Nu3 tptp.produc190496183real_c) (I2 tptp.denota231621370t_unit) (A tptp.formula_a_b_c) (B tptp.formula_a_b_c)) (let ((_let_1 (@ tptp.denota968303861_a_b_c I2))) (let ((_let_2 (@ tptp.member1895684704real_c Nu3))) (= (@ _let_2 (@ _let_1 (@ (@ tptp.equiv_a_b_c A) B))) (= (@ _let_2 (@ _let_1 A)) (@ _let_2 (@ _let_1 B))))))))
% 0.56/0.75 (assert (forall ((Nu3 tptp.produc190496183real_c) (I2 tptp.denota231621370t_unit) (A tptp.formula_a_b_c) (B tptp.formula_a_b_c)) (let ((_let_1 (@ tptp.denota968303861_a_b_c I2))) (let ((_let_2 (@ tptp.member1895684704real_c Nu3))) (= (@ _let_2 (@ _let_1 (@ (@ tptp.implies_a_b_c A) B))) (=> (@ _let_2 (@ _let_1 A)) (@ _let_2 (@ _let_1 B))))))))
% 0.56/0.75 (assert (= tptp.p_sc_sf_sz tptp.predic913887884_sf_sz))
% 0.56/0.75 (assert (forall ((X tptp.produc1821101996_sc_sz)) (not (forall ((I3 tptp.denota610675952t_unit) (S tptp.produc866628903_sc_sz)) (not (= X (@ (@ tptp.produc789536734_sc_sz I3) S)))))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc) (X tptp.produc1821101996_sc_sz)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (forall ((I3 tptp.denota610675952t_unit) (S tptp.produc866628903_sc_sz)) (not (= X (@ (@ tptp.produc789536734_sc_sz I3) S))))))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc) (P (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz Bool)) (A0 tptp.denota610675952t_unit) (A1 tptp.produc866628903_sc_sz)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (=> (forall ((I3 tptp.denota610675952t_unit) (X_1 tptp.produc866628903_sc_sz)) (@ (@ P I3) X_1)) (@ (@ P A0) A1)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc) (P2 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (= (@ tptp.p_sc_sf_sz P2) (@ tptp.predic913887884_sf_sz P2)))))
% 0.56/0.75 (assert (forall ((X1 tptp.list_f1238882004_sc_sz) (X2 tptp.list_f1238882004_sc_sz) (Y1 tptp.list_f1238882004_sc_sz) (Y2 tptp.list_f1238882004_sc_sz)) (= (= (@ (@ tptp.produc1822718231_sc_sz X1) X2) (@ (@ tptp.produc1822718231_sc_sz Y1) Y2)) (and (= X1 Y1) (= X2 Y2)))))
% 0.56/0.75 (assert (forall ((X1 tptp.finite1398487019real_c) (X2 tptp.finite1398487019real_c) (Y1 tptp.finite1398487019real_c) (Y2 tptp.finite1398487019real_c)) (= (= (@ (@ tptp.produc394644079real_c X1) X2) (@ (@ tptp.produc394644079real_c Y1) Y2)) (and (= X1 Y1) (= X2 Y2)))))
% 0.56/0.75 (assert (forall ((X1 tptp.produc866628903_sc_sz) (X2 tptp.denota610675952t_unit) (Y1 tptp.produc866628903_sc_sz) (Y2 tptp.denota610675952t_unit)) (= (= (@ (@ tptp.produc502616768t_unit X1) X2) (@ (@ tptp.produc502616768t_unit Y1) Y2)) (and (= X1 Y1) (= X2 Y2)))))
% 0.56/0.75 (assert (forall ((X1 tptp.produc190496183real_c) (X2 tptp.produc190496183real_c) (Y1 tptp.produc190496183real_c) (Y2 tptp.produc190496183real_c)) (= (= (@ (@ tptp.produc1687028567real_c X1) X2) (@ (@ tptp.produc1687028567real_c Y1) Y2)) (and (= X1 Y1) (= X2 Y2)))))
% 0.56/0.75 (assert (forall ((X1 tptp.denota610675952t_unit) (X2 tptp.produc866628903_sc_sz) (Y1 tptp.denota610675952t_unit) (Y2 tptp.produc866628903_sc_sz)) (= (= (@ (@ tptp.produc789536734_sc_sz X1) X2) (@ (@ tptp.produc789536734_sc_sz Y1) Y2)) (and (= X1 Y1) (= X2 Y2)))))
% 0.56/0.75 (assert (forall ((A2 tptp.list_f1238882004_sc_sz) (B2 tptp.list_f1238882004_sc_sz) (A3 tptp.list_f1238882004_sc_sz) (B3 tptp.list_f1238882004_sc_sz)) (= (= (@ (@ tptp.produc1822718231_sc_sz A2) B2) (@ (@ tptp.produc1822718231_sc_sz A3) B3)) (and (= A2 A3) (= B2 B3)))))
% 0.56/0.75 (assert (forall ((A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c) (A3 tptp.finite1398487019real_c) (B3 tptp.finite1398487019real_c)) (= (= (@ (@ tptp.produc394644079real_c A2) B2) (@ (@ tptp.produc394644079real_c A3) B3)) (and (= A2 A3) (= B2 B3)))))
% 0.56/0.75 (assert (forall ((A2 tptp.produc866628903_sc_sz) (B2 tptp.denota610675952t_unit) (A3 tptp.produc866628903_sc_sz) (B3 tptp.denota610675952t_unit)) (= (= (@ (@ tptp.produc502616768t_unit A2) B2) (@ (@ tptp.produc502616768t_unit A3) B3)) (and (= A2 A3) (= B2 B3)))))
% 0.56/0.75 (assert (forall ((A2 tptp.produc190496183real_c) (B2 tptp.produc190496183real_c) (A3 tptp.produc190496183real_c) (B3 tptp.produc190496183real_c)) (= (= (@ (@ tptp.produc1687028567real_c A2) B2) (@ (@ tptp.produc1687028567real_c A3) B3)) (and (= A2 A3) (= B2 B3)))))
% 0.56/0.75 (assert (forall ((A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz) (A3 tptp.denota610675952t_unit) (B3 tptp.produc866628903_sc_sz)) (= (= (@ (@ tptp.produc789536734_sc_sz A2) B2) (@ (@ tptp.produc789536734_sc_sz A3) B3)) (and (= A2 A3) (= B2 B3)))))
% 0.56/0.75 (assert (forall ((Y tptp.produc640052711real_c)) (not (forall ((A4 tptp.produc190496183real_c) (B4 tptp.finite1398487019real_c) (C tptp.finite1398487019real_c)) (not (= Y (@ (@ tptp.produc1687028567real_c A4) (@ (@ tptp.produc394644079real_c B4) C))))))))
% 0.56/0.75 (assert (forall ((Y tptp.produc1821101996_sc_sz)) (not (forall ((A4 tptp.denota610675952t_unit) (B4 tptp.list_f1238882004_sc_sz) (C tptp.list_f1238882004_sc_sz)) (not (= Y (@ (@ tptp.produc789536734_sc_sz A4) (@ (@ tptp.produc1822718231_sc_sz B4) C))))))))
% 0.56/0.75 (assert (forall ((P (-> tptp.produc866628903_sc_sz Bool)) (Prod tptp.produc866628903_sc_sz)) (=> (forall ((A4 tptp.list_f1238882004_sc_sz) (B4 tptp.list_f1238882004_sc_sz)) (@ P (@ (@ tptp.produc1822718231_sc_sz A4) B4))) (@ P Prod))))
% 0.56/0.75 (assert (forall ((P (-> tptp.produc190496183real_c Bool)) (Prod tptp.produc190496183real_c)) (=> (forall ((A4 tptp.finite1398487019real_c) (B4 tptp.finite1398487019real_c)) (@ P (@ (@ tptp.produc394644079real_c A4) B4))) (@ P Prod))))
% 0.56/0.75 (assert (forall ((P (-> tptp.produc999471430t_unit Bool)) (Prod tptp.produc999471430t_unit)) (=> (forall ((A4 tptp.produc866628903_sc_sz) (B4 tptp.denota610675952t_unit)) (@ P (@ (@ tptp.produc502616768t_unit A4) B4))) (@ P Prod))))
% 0.56/0.75 (assert (forall ((P (-> tptp.produc640052711real_c Bool)) (Prod tptp.produc640052711real_c)) (=> (forall ((A4 tptp.produc190496183real_c) (B4 tptp.produc190496183real_c)) (@ P (@ (@ tptp.produc1687028567real_c A4) B4))) (@ P Prod))))
% 0.56/0.75 (assert (forall ((P (-> tptp.produc1821101996_sc_sz Bool)) (Prod tptp.produc1821101996_sc_sz)) (=> (forall ((A4 tptp.denota610675952t_unit) (B4 tptp.produc866628903_sc_sz)) (@ P (@ (@ tptp.produc789536734_sc_sz A4) B4))) (@ P Prod))))
% 0.56/0.75 (assert (forall ((Y tptp.produc866628903_sc_sz)) (not (forall ((A4 tptp.list_f1238882004_sc_sz) (B4 tptp.list_f1238882004_sc_sz)) (not (= Y (@ (@ tptp.produc1822718231_sc_sz A4) B4)))))))
% 0.56/0.75 (assert (forall ((Y tptp.produc190496183real_c)) (not (forall ((A4 tptp.finite1398487019real_c) (B4 tptp.finite1398487019real_c)) (not (= Y (@ (@ tptp.produc394644079real_c A4) B4)))))))
% 0.56/0.75 (assert (forall ((Y tptp.produc999471430t_unit)) (not (forall ((A4 tptp.produc866628903_sc_sz) (B4 tptp.denota610675952t_unit)) (not (= Y (@ (@ tptp.produc502616768t_unit A4) B4)))))))
% 0.56/0.75 (assert (forall ((Y tptp.produc640052711real_c)) (not (forall ((A4 tptp.produc190496183real_c) (B4 tptp.produc190496183real_c)) (not (= Y (@ (@ tptp.produc1687028567real_c A4) B4)))))))
% 0.56/0.75 (assert (forall ((Y tptp.produc1821101996_sc_sz)) (not (forall ((A4 tptp.denota610675952t_unit) (B4 tptp.produc866628903_sc_sz)) (not (= Y (@ (@ tptp.produc789536734_sc_sz A4) B4)))))))
% 0.56/0.75 (assert (forall ((A2 tptp.list_f1238882004_sc_sz) (B2 tptp.list_f1238882004_sc_sz) (A3 tptp.list_f1238882004_sc_sz) (B3 tptp.list_f1238882004_sc_sz)) (=> (= (@ (@ tptp.produc1822718231_sc_sz A2) B2) (@ (@ tptp.produc1822718231_sc_sz A3) B3)) (not (=> (= A2 A3) (not (= B2 B3)))))))
% 0.56/0.75 (assert (forall ((A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c) (A3 tptp.finite1398487019real_c) (B3 tptp.finite1398487019real_c)) (=> (= (@ (@ tptp.produc394644079real_c A2) B2) (@ (@ tptp.produc394644079real_c A3) B3)) (not (=> (= A2 A3) (not (= B2 B3)))))))
% 0.56/0.75 (assert (forall ((A2 tptp.produc866628903_sc_sz) (B2 tptp.denota610675952t_unit) (A3 tptp.produc866628903_sc_sz) (B3 tptp.denota610675952t_unit)) (=> (= (@ (@ tptp.produc502616768t_unit A2) B2) (@ (@ tptp.produc502616768t_unit A3) B3)) (not (=> (= A2 A3) (not (= B2 B3)))))))
% 0.56/0.75 (assert (forall ((A2 tptp.produc190496183real_c) (B2 tptp.produc190496183real_c) (A3 tptp.produc190496183real_c) (B3 tptp.produc190496183real_c)) (=> (= (@ (@ tptp.produc1687028567real_c A2) B2) (@ (@ tptp.produc1687028567real_c A3) B3)) (not (=> (= A2 A3) (not (= B2 B3)))))))
% 0.56/0.75 (assert (forall ((A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz) (A3 tptp.denota610675952t_unit) (B3 tptp.produc866628903_sc_sz)) (=> (= (@ (@ tptp.produc789536734_sc_sz A2) B2) (@ (@ tptp.produc789536734_sc_sz A3) B3)) (not (=> (= A2 A3) (not (= B2 B3)))))))
% 0.56/0.75 (assert (forall ((P (-> tptp.produc866628903_sc_sz Bool)) (P2 tptp.produc866628903_sc_sz)) (=> (forall ((A4 tptp.list_f1238882004_sc_sz) (B4 tptp.list_f1238882004_sc_sz)) (@ P (@ (@ tptp.produc1822718231_sc_sz A4) B4))) (@ P P2))))
% 0.56/0.75 (assert (forall ((P (-> tptp.produc190496183real_c Bool)) (P2 tptp.produc190496183real_c)) (=> (forall ((A4 tptp.finite1398487019real_c) (B4 tptp.finite1398487019real_c)) (@ P (@ (@ tptp.produc394644079real_c A4) B4))) (@ P P2))))
% 0.56/0.75 (assert (forall ((P (-> tptp.produc999471430t_unit Bool)) (P2 tptp.produc999471430t_unit)) (=> (forall ((A4 tptp.produc866628903_sc_sz) (B4 tptp.denota610675952t_unit)) (@ P (@ (@ tptp.produc502616768t_unit A4) B4))) (@ P P2))))
% 0.56/0.75 (assert (forall ((P (-> tptp.produc640052711real_c Bool)) (P2 tptp.produc640052711real_c)) (=> (forall ((A4 tptp.produc190496183real_c) (B4 tptp.produc190496183real_c)) (@ P (@ (@ tptp.produc1687028567real_c A4) B4))) (@ P P2))))
% 0.56/0.75 (assert (forall ((P (-> tptp.produc1821101996_sc_sz Bool)) (P2 tptp.produc1821101996_sc_sz)) (=> (forall ((A4 tptp.denota610675952t_unit) (B4 tptp.produc866628903_sc_sz)) (@ P (@ (@ tptp.produc789536734_sc_sz A4) B4))) (@ P P2))))
% 0.56/0.75 (assert (forall ((P2 tptp.produc866628903_sc_sz)) (exists ((X3 tptp.list_f1238882004_sc_sz) (Y3 tptp.list_f1238882004_sc_sz)) (= P2 (@ (@ tptp.produc1822718231_sc_sz X3) Y3)))))
% 0.56/0.75 (assert (forall ((P2 tptp.produc190496183real_c)) (exists ((X3 tptp.finite1398487019real_c) (Y3 tptp.finite1398487019real_c)) (= P2 (@ (@ tptp.produc394644079real_c X3) Y3)))))
% 0.56/0.75 (assert (forall ((P2 tptp.produc999471430t_unit)) (exists ((X3 tptp.produc866628903_sc_sz) (Y3 tptp.denota610675952t_unit)) (= P2 (@ (@ tptp.produc502616768t_unit X3) Y3)))))
% 0.56/0.75 (assert (forall ((P2 tptp.produc640052711real_c)) (exists ((X3 tptp.produc190496183real_c) (Y3 tptp.produc190496183real_c)) (= P2 (@ (@ tptp.produc1687028567real_c X3) Y3)))))
% 0.56/0.75 (assert (forall ((P2 tptp.produc1821101996_sc_sz)) (exists ((X3 tptp.denota610675952t_unit) (Y3 tptp.produc866628903_sc_sz)) (= P2 (@ (@ tptp.produc789536734_sc_sz X3) Y3)))))
% 0.56/0.75 (assert (forall ((P (-> tptp.produc640052711real_c Bool)) (X tptp.produc640052711real_c)) (=> (forall ((A4 tptp.produc190496183real_c) (B4 tptp.finite1398487019real_c) (C tptp.finite1398487019real_c)) (@ P (@ (@ tptp.produc1687028567real_c A4) (@ (@ tptp.produc394644079real_c B4) C)))) (@ P X))))
% 0.56/0.75 (assert (forall ((P (-> tptp.produc1821101996_sc_sz Bool)) (X tptp.produc1821101996_sc_sz)) (=> (forall ((A4 tptp.denota610675952t_unit) (B4 tptp.list_f1238882004_sc_sz) (C tptp.list_f1238882004_sc_sz)) (@ P (@ (@ tptp.produc789536734_sc_sz A4) (@ (@ tptp.produc1822718231_sc_sz B4) C)))) (@ P X))))
% 0.56/0.75 (assert (forall ((A2 tptp.finite1398487019real_c) (P (-> tptp.finite1398487019real_c Bool))) (= (@ (@ tptp.member1261661570real_c A2) (@ tptp.collec230941376real_c P)) (@ P A2))))
% 0.56/0.75 (assert (forall ((A2 tptp.produc1821101996_sc_sz) (P (-> tptp.produc1821101996_sc_sz Bool))) (= (@ (@ tptp.member1057565379_sc_sz A2) (@ tptp.collec1199592193_sc_sz P)) (@ P A2))))
% 0.56/0.75 (assert (forall ((A2 tptp.produc640052711real_c) (P (-> tptp.produc640052711real_c Bool))) (= (@ (@ tptp.member346808080real_c A2) (@ tptp.collec1126017874real_c P)) (@ P A2))))
% 0.56/0.75 (assert (forall ((A2 tptp.produc999471430t_unit) (P (-> tptp.produc999471430t_unit Bool))) (= (@ (@ tptp.member235934813t_unit A2) (@ tptp.collec377961627t_unit P)) (@ P A2))))
% 0.56/0.75 (assert (forall ((A2 tptp.produc866628903_sc_sz) (P (-> tptp.produc866628903_sc_sz Bool))) (= (@ (@ tptp.member245028432_sc_sz A2) (@ tptp.collec2036662930_sc_sz P)) (@ P A2))))
% 0.56/0.75 (assert (forall ((A2 tptp.produc190496183real_c) (P (-> tptp.produc190496183real_c Bool))) (= (@ (@ tptp.member1895684704real_c A2) (@ tptp.collec1643251106real_c P)) (@ P A2))))
% 0.56/0.75 (assert (forall ((A tptp.set_Fi1407883041real_c)) (= (@ tptp.collec230941376real_c (lambda ((X4 tptp.finite1398487019real_c)) (@ (@ tptp.member1261661570real_c X4) A))) A)))
% 0.56/0.75 (assert (forall ((A tptp.set_Pr1169339874_sc_sz)) (= (@ tptp.collec1199592193_sc_sz (lambda ((X4 tptp.produc1821101996_sc_sz)) (@ (@ tptp.member1057565379_sc_sz X4) A))) A)))
% 0.56/0.75 (assert (forall ((A tptp.set_Pr754230471real_c)) (= (@ tptp.collec1126017874real_c (lambda ((X4 tptp.produc640052711real_c)) (@ (@ tptp.member346808080real_c X4) A))) A)))
% 0.56/0.75 (assert (forall ((A tptp.set_Pr2041213564t_unit)) (= (@ tptp.collec377961627t_unit (lambda ((X4 tptp.produc999471430t_unit)) (@ (@ tptp.member235934813t_unit X4) A))) A)))
% 0.56/0.75 (assert (forall ((A tptp.set_Pr1774599175_sc_sz)) (= (@ tptp.collec2036662930_sc_sz (lambda ((X4 tptp.produc866628903_sc_sz)) (@ (@ tptp.member245028432_sc_sz X4) A))) A)))
% 0.56/0.75 (assert (forall ((A tptp.set_Pr1389752855real_c)) (= (@ tptp.collec1643251106real_c (lambda ((X4 tptp.produc190496183real_c)) (@ (@ tptp.member1895684704real_c X4) A))) A)))
% 0.56/0.75 (assert (forall ((P (-> tptp.produc190496183real_c Bool)) (Q (-> tptp.produc190496183real_c Bool))) (=> (forall ((X3 tptp.produc190496183real_c)) (= (@ P X3) (@ Q X3))) (= (@ tptp.collec1643251106real_c P) (@ tptp.collec1643251106real_c Q)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Vid2 Vid3)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Vid1 Vid3)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Vid1 Vid2)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid3 Pid4)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid2 Pid4)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid2 Pid3)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid4 Pid3)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid4 Pid2)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid4 Pid1)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid3 Pid1)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid3 Pid2)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid2 Pid1)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Fid3 Fid1)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Fid3 Fid2)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Fid2 Fid1)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Vid3 Vid1)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Vid3 Vid2)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Vid2 Vid1)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid3 Pid4)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid2 Pid4)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid1 Pid4)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid1 Pid3)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid2 Pid3)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid1 Pid2)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Fid1 Fid3)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Fid2 Fid3)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Fid1 Fid2)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Vid1 Vid3)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Vid2 Vid3)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Vid1 Vid2)))))
% 0.56/0.75 (assert (= tptp.ids_sz_sf_sc (lambda ((Vid12 tptp.sz) (Vid22 tptp.sz) (Vid32 tptp.sz) (Fid12 tptp.sf) (Fid22 tptp.sf) (Fid32 tptp.sf) (Pid12 tptp.sc) (Pid22 tptp.sc) (Pid32 tptp.sc) (Pid42 tptp.sc)) (and (not (= Vid12 Vid22)) (not (= Vid22 Vid32)) (not (= Vid12 Vid32)) (not (= Fid12 Fid22)) (not (= Fid22 Fid32)) (not (= Fid12 Fid32)) (not (= Pid12 Pid22)) (not (= Pid22 Pid32)) (not (= Pid12 Pid32)) (not (= Pid12 Pid42)) (not (= Pid22 Pid42)) (not (= Pid32 Pid42))))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Fid1 Fid2)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Fid1 Fid3)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Fid2 Fid3)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (not (= Vid1 Vid2)) (=> (not (= Vid2 Vid3)) (=> (not (= Vid1 Vid3)) (=> (not (= Fid1 Fid2)) (=> (not (= Fid2 Fid3)) (=> (not (= Fid1 Fid3)) (=> (not (= Pid1 Pid2)) (=> (not (= Pid2 Pid3)) (=> (not (= Pid1 Pid3)) (=> (not (= Pid1 Pid4)) (=> (not (= Pid2 Pid4)) (=> (not (= Pid3 Pid4)) (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4)))))))))))))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid1 Pid2)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid1 Pid3)))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid1 Pid4)))))
% 0.56/0.75 (assert (= tptp.produc1086673900c_sz_o (lambda ((F (-> tptp.produc1821101996_sc_sz Bool)) (A5 tptp.denota610675952t_unit) (B5 tptp.produc866628903_sc_sz)) (@ F (@ (@ tptp.produc789536734_sc_sz A5) B5)))))
% 0.56/0.75 (assert (forall ((R tptp.list_f1238882004_sc_sz) (S2 tptp.list_f1238882004_sc_sz) (R2 tptp.set_Pr1774599175_sc_sz) (S3 tptp.list_f1238882004_sc_sz)) (let ((_let_1 (@ tptp.produc1822718231_sc_sz R))) (=> (@ (@ tptp.member245028432_sc_sz (@ _let_1 S2)) R2) (=> (= S3 S2) (@ (@ tptp.member245028432_sc_sz (@ _let_1 S3)) R2))))))
% 0.56/0.75 (assert (forall ((R tptp.produc866628903_sc_sz) (S2 tptp.denota610675952t_unit) (R2 tptp.set_Pr2041213564t_unit) (S3 tptp.denota610675952t_unit)) (let ((_let_1 (@ tptp.produc502616768t_unit R))) (=> (@ (@ tptp.member235934813t_unit (@ _let_1 S2)) R2) (=> (= S3 S2) (@ (@ tptp.member235934813t_unit (@ _let_1 S3)) R2))))))
% 0.56/0.75 (assert (forall ((R tptp.produc190496183real_c) (S2 tptp.produc190496183real_c) (R2 tptp.set_Pr754230471real_c) (S3 tptp.produc190496183real_c)) (let ((_let_1 (@ tptp.produc1687028567real_c R))) (=> (@ (@ tptp.member346808080real_c (@ _let_1 S2)) R2) (=> (= S3 S2) (@ (@ tptp.member346808080real_c (@ _let_1 S3)) R2))))))
% 0.56/0.75 (assert (forall ((R tptp.finite1398487019real_c) (S2 tptp.finite1398487019real_c) (R2 tptp.set_Pr1389752855real_c) (S3 tptp.finite1398487019real_c)) (let ((_let_1 (@ tptp.produc394644079real_c R))) (=> (@ (@ tptp.member1895684704real_c (@ _let_1 S2)) R2) (=> (= S3 S2) (@ (@ tptp.member1895684704real_c (@ _let_1 S3)) R2))))))
% 0.56/0.75 (assert (forall ((R tptp.denota610675952t_unit) (S2 tptp.produc866628903_sc_sz) (R2 tptp.set_Pr1169339874_sc_sz) (S3 tptp.produc866628903_sc_sz)) (let ((_let_1 (@ tptp.produc789536734_sc_sz R))) (=> (@ (@ tptp.member1057565379_sc_sz (@ _let_1 S2)) R2) (=> (= S3 S2) (@ (@ tptp.member1057565379_sc_sz (@ _let_1 S3)) R2))))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc866628903_sc_sz Bool)) (A2 tptp.list_f1238882004_sc_sz) (B2 tptp.list_f1238882004_sc_sz)) (=> (@ F2 (@ (@ tptp.produc1822718231_sc_sz A2) B2)) (@ (@ (@ tptp.produc880541325c_sz_o F2) A2) B2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc190496183real_c Bool)) (A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c)) (=> (@ F2 (@ (@ tptp.produc394644079real_c A2) B2)) (@ (@ (@ tptp.produc1716060341al_c_o F2) A2) B2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc999471430t_unit Bool)) (A2 tptp.produc866628903_sc_sz) (B2 tptp.denota610675952t_unit)) (=> (@ F2 (@ (@ tptp.produc502616768t_unit A2) B2)) (@ (@ (@ tptp.produc38128778unit_o F2) A2) B2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc640052711real_c Bool)) (A2 tptp.produc190496183real_c) (B2 tptp.produc190496183real_c)) (=> (@ F2 (@ (@ tptp.produc1687028567real_c A2) B2)) (@ (@ (@ tptp.produc440529997al_c_o F2) A2) B2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc1821101996_sc_sz Bool)) (A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz)) (=> (@ F2 (@ (@ tptp.produc789536734_sc_sz A2) B2)) (@ (@ (@ tptp.produc1086673900c_sz_o F2) A2) B2))))
% 0.56/0.75 (assert (forall ((X tptp.list_f1238882004_sc_sz) (Y tptp.list_f1238882004_sc_sz)) (= (@ tptp.produc1145837239_sc_sz (@ (@ tptp.produc1822718231_sc_sz X) Y)) (@ (@ tptp.produc1822718231_sc_sz Y) X))))
% 0.56/0.75 (assert (forall ((X tptp.produc190496183real_c) (Y tptp.produc190496183real_c)) (= (@ tptp.produc350724343real_c (@ (@ tptp.produc1687028567real_c X) Y)) (@ (@ tptp.produc1687028567real_c Y) X))))
% 0.56/0.75 (assert (forall ((X tptp.finite1398487019real_c) (Y tptp.finite1398487019real_c)) (= (@ tptp.produc704157711real_c (@ (@ tptp.produc394644079real_c X) Y)) (@ (@ tptp.produc394644079real_c Y) X))))
% 0.56/0.75 (assert (forall ((X tptp.produc866628903_sc_sz) (Y tptp.denota610675952t_unit)) (= (@ tptp.produc245128480t_unit (@ (@ tptp.produc502616768t_unit X) Y)) (@ (@ tptp.produc789536734_sc_sz Y) X))))
% 0.56/0.75 (assert (forall ((X tptp.denota610675952t_unit) (Y tptp.produc866628903_sc_sz)) (= (@ tptp.produc532048446_sc_sz (@ (@ tptp.produc789536734_sc_sz X) Y)) (@ (@ tptp.produc502616768t_unit Y) X))))
% 0.56/0.75 (assert (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc) (Phi2 tptp.formula_sf_sc_sz)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (= (@ tptp.denota1946510237_sc_sz Phi2) (forall ((I tptp.denota610675952t_unit) (Nu tptp.produc1149990247eal_sz)) (=> (@ tptp.denota1579475975_sc_sz I) (@ (@ tptp.member630771088eal_sz Nu) (@ (@ tptp.denota1711272799_sc_sz I) Phi2))))))))
% 0.56/0.75 (assert (forall ((P2 tptp.produc999471430t_unit)) (= (@ tptp.produc532048446_sc_sz (@ tptp.produc245128480t_unit P2)) P2)))
% 0.56/0.75 (assert (forall ((P2 tptp.produc1821101996_sc_sz)) (= (@ tptp.produc245128480t_unit (@ tptp.produc532048446_sc_sz P2)) P2)))
% 0.56/0.75 (assert (forall ((P2 tptp.produc190496183real_c)) (= (@ tptp.produc704157711real_c (@ tptp.produc704157711real_c P2)) P2)))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc866628903_sc_sz Bool)) (A2 tptp.list_f1238882004_sc_sz) (B2 tptp.list_f1238882004_sc_sz)) (=> (@ (@ (@ tptp.produc880541325c_sz_o F2) A2) B2) (@ F2 (@ (@ tptp.produc1822718231_sc_sz A2) B2)))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc190496183real_c Bool)) (A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c)) (=> (@ (@ (@ tptp.produc1716060341al_c_o F2) A2) B2) (@ F2 (@ (@ tptp.produc394644079real_c A2) B2)))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc999471430t_unit Bool)) (A2 tptp.produc866628903_sc_sz) (B2 tptp.denota610675952t_unit)) (=> (@ (@ (@ tptp.produc38128778unit_o F2) A2) B2) (@ F2 (@ (@ tptp.produc502616768t_unit A2) B2)))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc640052711real_c Bool)) (A2 tptp.produc190496183real_c) (B2 tptp.produc190496183real_c)) (=> (@ (@ (@ tptp.produc440529997al_c_o F2) A2) B2) (@ F2 (@ (@ tptp.produc1687028567real_c A2) B2)))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc1821101996_sc_sz Bool)) (A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz)) (=> (@ (@ (@ tptp.produc1086673900c_sz_o F2) A2) B2) (@ F2 (@ (@ tptp.produc789536734_sc_sz A2) B2)))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc866628903_sc_sz Bool)) (A2 tptp.list_f1238882004_sc_sz) (B2 tptp.list_f1238882004_sc_sz)) (=> (@ (@ (@ tptp.produc880541325c_sz_o F2) A2) B2) (@ F2 (@ (@ tptp.produc1822718231_sc_sz A2) B2)))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc190496183real_c Bool)) (A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c)) (=> (@ (@ (@ tptp.produc1716060341al_c_o F2) A2) B2) (@ F2 (@ (@ tptp.produc394644079real_c A2) B2)))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc999471430t_unit Bool)) (A2 tptp.produc866628903_sc_sz) (B2 tptp.denota610675952t_unit)) (=> (@ (@ (@ tptp.produc38128778unit_o F2) A2) B2) (@ F2 (@ (@ tptp.produc502616768t_unit A2) B2)))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc640052711real_c Bool)) (A2 tptp.produc190496183real_c) (B2 tptp.produc190496183real_c)) (=> (@ (@ (@ tptp.produc440529997al_c_o F2) A2) B2) (@ F2 (@ (@ tptp.produc1687028567real_c A2) B2)))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc1821101996_sc_sz Bool)) (A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz)) (=> (@ (@ (@ tptp.produc1086673900c_sz_o F2) A2) B2) (@ F2 (@ (@ tptp.produc789536734_sc_sz A2) B2)))))
% 0.56/0.75 (assert (forall ((Y tptp.list_f1238882004_sc_sz) (X tptp.list_f1238882004_sc_sz) (A tptp.set_Pr1774599175_sc_sz)) (= (@ (@ tptp.member245028432_sc_sz (@ (@ tptp.produc1822718231_sc_sz Y) X)) (@ (@ tptp.image_1313166277_sc_sz tptp.produc1145837239_sc_sz) A)) (@ (@ tptp.member245028432_sc_sz (@ (@ tptp.produc1822718231_sc_sz X) Y)) A))))
% 0.56/0.75 (assert (forall ((Y tptp.produc190496183real_c) (X tptp.produc190496183real_c) (A tptp.set_Pr754230471real_c)) (= (@ (@ tptp.member346808080real_c (@ (@ tptp.produc1687028567real_c Y) X)) (@ (@ tptp.image_2041365445real_c tptp.produc350724343real_c) A)) (@ (@ tptp.member346808080real_c (@ (@ tptp.produc1687028567real_c X) Y)) A))))
% 0.56/0.75 (assert (forall ((Y tptp.finite1398487019real_c) (X tptp.finite1398487019real_c) (A tptp.set_Pr1389752855real_c)) (= (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c Y) X)) (@ (@ tptp.image_738229701real_c tptp.produc704157711real_c) A)) (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c X) Y)) A))))
% 0.56/0.75 (assert (forall ((Y tptp.produc866628903_sc_sz) (X tptp.denota610675952t_unit) (A tptp.set_Pr1169339874_sc_sz)) (= (@ (@ tptp.member235934813t_unit (@ (@ tptp.produc502616768t_unit Y) X)) (@ (@ tptp.image_904562809t_unit tptp.produc532048446_sc_sz) A)) (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz X) Y)) A))))
% 0.56/0.75 (assert (forall ((Y tptp.denota610675952t_unit) (X tptp.produc866628903_sc_sz) (A tptp.set_Pr2041213564t_unit)) (= (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz Y) X)) (@ (@ tptp.image_1426741113_sc_sz tptp.produc245128480t_unit) A)) (@ (@ tptp.member235934813t_unit (@ (@ tptp.produc502616768t_unit X) Y)) A))))
% 0.56/0.75 (assert (= tptp.produc383750338real_c tptp.produc1575513068real_c))
% 0.56/0.75 (assert (= tptp.produc198687651c_sz_o tptp.produc619560141c_sz_o))
% 0.56/0.75 (assert (= tptp.produc1894848802real_c tptp.produc237521996real_c))
% 0.56/0.75 (assert (= tptp.produc1442549981real_c tptp.produc107375667real_c))
% 0.56/0.75 (assert (= tptp.produc2099580355_sc_sz tptp.produc435149849_sc_sz))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz)) (X tptp.list_f1238882004_sc_sz) (Y tptp.list_f1238882004_sc_sz)) (let ((_let_1 (@ tptp.produc1822718231_sc_sz X))) (= (@ (@ tptp.produc233219286_sc_sz F2) (@ _let_1 Y)) (@ _let_1 (@ F2 Y))))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c)) (X tptp.finite1398487019real_c) (Y tptp.finite1398487019real_c)) (let ((_let_1 (@ tptp.produc394644079real_c X))) (= (@ (@ tptp.produc981295297real_c F2) (@ _let_1 Y)) (@ _let_1 (@ F2 Y))))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.denota610675952t_unit tptp.denota610675952t_unit)) (X tptp.produc866628903_sc_sz) (Y tptp.denota610675952t_unit)) (let ((_let_1 (@ tptp.produc502616768t_unit X))) (= (@ (@ tptp.produc793407943_sc_sz F2) (@ _let_1 Y)) (@ _let_1 (@ F2 Y))))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc190496183real_c tptp.produc190496183real_c)) (X tptp.produc190496183real_c) (Y tptp.produc190496183real_c)) (let ((_let_1 (@ tptp.produc1687028567real_c X))) (= (@ (@ tptp.produc2089853305real_c F2) (@ _let_1 Y)) (@ _let_1 (@ F2 Y))))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc866628903_sc_sz tptp.produc866628903_sc_sz)) (X tptp.denota610675952t_unit) (Y tptp.produc866628903_sc_sz)) (let ((_let_1 (@ tptp.produc789536734_sc_sz X))) (= (@ (@ tptp.produc1959054510t_unit F2) (@ _let_1 Y)) (@ _let_1 (@ F2 Y))))))
% 0.56/0.75 (assert (forall ((P2 tptp.produc1821101996_sc_sz) (Z tptp.produc190496183real_c) (C2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.set_Pr1389752855real_c))) (=> (forall ((A4 tptp.denota610675952t_unit) (B4 tptp.produc866628903_sc_sz)) (=> (= P2 (@ (@ tptp.produc789536734_sc_sz A4) B4)) (@ (@ tptp.member1895684704real_c Z) (@ (@ C2 A4) B4)))) (@ (@ tptp.member1895684704real_c Z) (@ (@ tptp.produc237521996real_c C2) P2)))))
% 0.56/0.75 (assert (forall ((P2 tptp.produc190496183real_c) (Z tptp.finite1398487019real_c) (C2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.set_Fi1407883041real_c))) (=> (forall ((A4 tptp.finite1398487019real_c) (B4 tptp.finite1398487019real_c)) (=> (= P2 (@ (@ tptp.produc394644079real_c A4) B4)) (@ (@ tptp.member1261661570real_c Z) (@ (@ C2 A4) B4)))) (@ (@ tptp.member1261661570real_c Z) (@ (@ tptp.produc29022117real_c C2) P2)))))
% 0.56/0.75 (assert (forall ((P2 tptp.produc866628903_sc_sz) (Z tptp.finite1398487019real_c) (C2 (-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz tptp.set_Fi1407883041real_c))) (=> (forall ((A4 tptp.list_f1238882004_sc_sz) (B4 tptp.list_f1238882004_sc_sz)) (=> (= P2 (@ (@ tptp.produc1822718231_sc_sz A4) B4)) (@ (@ tptp.member1261661570real_c Z) (@ (@ C2 A4) B4)))) (@ (@ tptp.member1261661570real_c Z) (@ (@ tptp.produc1449736269real_c C2) P2)))))
% 0.56/0.75 (assert (forall ((P2 tptp.produc190496183real_c) (Z tptp.produc190496183real_c) (C2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.set_Pr1389752855real_c))) (=> (forall ((A4 tptp.finite1398487019real_c) (B4 tptp.finite1398487019real_c)) (=> (= P2 (@ (@ tptp.produc394644079real_c A4) B4)) (@ (@ tptp.member1895684704real_c Z) (@ (@ C2 A4) B4)))) (@ (@ tptp.member1895684704real_c Z) (@ (@ tptp.produc923381907real_c C2) P2)))))
% 0.56/0.75 (assert (forall ((P2 tptp.produc866628903_sc_sz) (Z tptp.produc190496183real_c) (C2 (-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz tptp.set_Pr1389752855real_c))) (=> (forall ((A4 tptp.list_f1238882004_sc_sz) (B4 tptp.list_f1238882004_sc_sz)) (=> (= P2 (@ (@ tptp.produc1822718231_sc_sz A4) B4)) (@ (@ tptp.member1895684704real_c Z) (@ (@ C2 A4) B4)))) (@ (@ tptp.member1895684704real_c Z) (@ (@ tptp.produc6841835real_c C2) P2)))))
% 0.56/0.75 (assert (forall ((P2 tptp.produc190496183real_c) (Z tptp.produc866628903_sc_sz) (C2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.set_Pr1774599175_sc_sz))) (=> (forall ((A4 tptp.finite1398487019real_c) (B4 tptp.finite1398487019real_c)) (=> (= P2 (@ (@ tptp.produc394644079real_c A4) B4)) (@ (@ tptp.member245028432_sc_sz Z) (@ (@ C2 A4) B4)))) (@ (@ tptp.member245028432_sc_sz Z) (@ (@ tptp.produc642283651_sc_sz C2) P2)))))
% 0.56/0.75 (assert (forall ((P2 tptp.produc640052711real_c) (Z tptp.finite1398487019real_c) (C2 (-> tptp.produc190496183real_c tptp.produc190496183real_c tptp.set_Fi1407883041real_c))) (=> (forall ((A4 tptp.produc190496183real_c) (B4 tptp.produc190496183real_c)) (=> (= P2 (@ (@ tptp.produc1687028567real_c A4) B4)) (@ (@ tptp.member1261661570real_c Z) (@ (@ C2 A4) B4)))) (@ (@ tptp.member1261661570real_c Z) (@ (@ tptp.produc1066779277real_c C2) P2)))))
% 0.56/0.75 (assert (forall ((P2 tptp.produc1821101996_sc_sz) (Z tptp.finite1398487019real_c) (C2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.set_Fi1407883041real_c))) (=> (forall ((A4 tptp.denota610675952t_unit) (B4 tptp.produc866628903_sc_sz)) (=> (= P2 (@ (@ tptp.produc789536734_sc_sz A4) B4)) (@ (@ tptp.member1261661570real_c Z) (@ (@ C2 A4) B4)))) (@ (@ tptp.member1261661570real_c Z) (@ (@ tptp.produc2068697644real_c C2) P2)))))
% 0.56/0.75 (assert (forall ((P2 tptp.produc999471430t_unit) (Z tptp.finite1398487019real_c) (C2 (-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit tptp.set_Fi1407883041real_c))) (=> (forall ((A4 tptp.produc866628903_sc_sz) (B4 tptp.denota610675952t_unit)) (=> (= P2 (@ (@ tptp.produc502616768t_unit A4) B4)) (@ (@ tptp.member1261661570real_c Z) (@ (@ C2 A4) B4)))) (@ (@ tptp.member1261661570real_c Z) (@ (@ tptp.produc1368849166real_c C2) P2)))))
% 0.56/0.75 (assert (forall ((P2 tptp.produc866628903_sc_sz) (Z tptp.produc866628903_sc_sz) (C2 (-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz tptp.set_Pr1774599175_sc_sz))) (=> (forall ((A4 tptp.list_f1238882004_sc_sz) (B4 tptp.list_f1238882004_sc_sz)) (=> (= P2 (@ (@ tptp.produc1822718231_sc_sz A4) B4)) (@ (@ tptp.member245028432_sc_sz Z) (@ (@ C2 A4) B4)))) (@ (@ tptp.member245028432_sc_sz Z) (@ (@ tptp.produc1563580891_sc_sz C2) P2)))))
% 0.56/0.75 (assert (forall ((Z tptp.produc190496183real_c) (C2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.set_Pr1389752855real_c)) (A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz)) (let ((_let_1 (@ tptp.member1895684704real_c Z))) (=> (@ _let_1 (@ (@ C2 A2) B2)) (@ _let_1 (@ (@ tptp.produc237521996real_c C2) (@ (@ tptp.produc789536734_sc_sz A2) B2)))))))
% 0.56/0.75 (assert (forall ((Z tptp.finite1398487019real_c) (C2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.set_Fi1407883041real_c)) (A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c)) (let ((_let_1 (@ tptp.member1261661570real_c Z))) (=> (@ _let_1 (@ (@ C2 A2) B2)) (@ _let_1 (@ (@ tptp.produc29022117real_c C2) (@ (@ tptp.produc394644079real_c A2) B2)))))))
% 0.56/0.75 (assert (forall ((Z tptp.finite1398487019real_c) (C2 (-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz tptp.set_Fi1407883041real_c)) (A2 tptp.list_f1238882004_sc_sz) (B2 tptp.list_f1238882004_sc_sz)) (let ((_let_1 (@ tptp.member1261661570real_c Z))) (=> (@ _let_1 (@ (@ C2 A2) B2)) (@ _let_1 (@ (@ tptp.produc1449736269real_c C2) (@ (@ tptp.produc1822718231_sc_sz A2) B2)))))))
% 0.56/0.75 (assert (forall ((Z tptp.produc190496183real_c) (C2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.set_Pr1389752855real_c)) (A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c)) (let ((_let_1 (@ tptp.member1895684704real_c Z))) (=> (@ _let_1 (@ (@ C2 A2) B2)) (@ _let_1 (@ (@ tptp.produc923381907real_c C2) (@ (@ tptp.produc394644079real_c A2) B2)))))))
% 0.56/0.75 (assert (forall ((Z tptp.produc190496183real_c) (C2 (-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz tptp.set_Pr1389752855real_c)) (A2 tptp.list_f1238882004_sc_sz) (B2 tptp.list_f1238882004_sc_sz)) (let ((_let_1 (@ tptp.member1895684704real_c Z))) (=> (@ _let_1 (@ (@ C2 A2) B2)) (@ _let_1 (@ (@ tptp.produc6841835real_c C2) (@ (@ tptp.produc1822718231_sc_sz A2) B2)))))))
% 0.56/0.75 (assert (forall ((Z tptp.produc866628903_sc_sz) (C2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.set_Pr1774599175_sc_sz)) (A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c)) (let ((_let_1 (@ tptp.member245028432_sc_sz Z))) (=> (@ _let_1 (@ (@ C2 A2) B2)) (@ _let_1 (@ (@ tptp.produc642283651_sc_sz C2) (@ (@ tptp.produc394644079real_c A2) B2)))))))
% 0.56/0.75 (assert (forall ((Z tptp.finite1398487019real_c) (C2 (-> tptp.produc190496183real_c tptp.produc190496183real_c tptp.set_Fi1407883041real_c)) (A2 tptp.produc190496183real_c) (B2 tptp.produc190496183real_c)) (let ((_let_1 (@ tptp.member1261661570real_c Z))) (=> (@ _let_1 (@ (@ C2 A2) B2)) (@ _let_1 (@ (@ tptp.produc1066779277real_c C2) (@ (@ tptp.produc1687028567real_c A2) B2)))))))
% 0.56/0.75 (assert (forall ((Z tptp.finite1398487019real_c) (C2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.set_Fi1407883041real_c)) (A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz)) (let ((_let_1 (@ tptp.member1261661570real_c Z))) (=> (@ _let_1 (@ (@ C2 A2) B2)) (@ _let_1 (@ (@ tptp.produc2068697644real_c C2) (@ (@ tptp.produc789536734_sc_sz A2) B2)))))))
% 0.56/0.75 (assert (forall ((Z tptp.finite1398487019real_c) (C2 (-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit tptp.set_Fi1407883041real_c)) (A2 tptp.produc866628903_sc_sz) (B2 tptp.denota610675952t_unit)) (let ((_let_1 (@ tptp.member1261661570real_c Z))) (=> (@ _let_1 (@ (@ C2 A2) B2)) (@ _let_1 (@ (@ tptp.produc1368849166real_c C2) (@ (@ tptp.produc502616768t_unit A2) B2)))))))
% 0.56/0.75 (assert (forall ((Z tptp.produc866628903_sc_sz) (C2 (-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz tptp.set_Pr1774599175_sc_sz)) (A2 tptp.list_f1238882004_sc_sz) (B2 tptp.list_f1238882004_sc_sz)) (let ((_let_1 (@ tptp.member245028432_sc_sz Z))) (=> (@ _let_1 (@ (@ C2 A2) B2)) (@ _let_1 (@ (@ tptp.produc1563580891_sc_sz C2) (@ (@ tptp.produc1822718231_sc_sz A2) B2)))))))
% 0.56/0.75 (assert (forall ((P2 tptp.produc866628903_sc_sz) (C2 (-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz Bool))) (=> (forall ((A4 tptp.list_f1238882004_sc_sz) (B4 tptp.list_f1238882004_sc_sz)) (=> (= P2 (@ (@ tptp.produc1822718231_sc_sz A4) B4)) (@ (@ C2 A4) B4))) (@ (@ tptp.produc2039065452c_sz_o C2) P2))))
% 0.56/0.75 (assert (forall ((P2 tptp.produc190496183real_c) (C2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c Bool))) (=> (forall ((A4 tptp.finite1398487019real_c) (B4 tptp.finite1398487019real_c)) (=> (= P2 (@ (@ tptp.produc394644079real_c A4) B4)) (@ (@ C2 A4) B4))) (@ (@ tptp.produc353381908al_c_o C2) P2))))
% 0.56/0.75 (assert (forall ((P2 tptp.produc999471430t_unit) (C2 (-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit Bool))) (=> (forall ((A4 tptp.produc866628903_sc_sz) (B4 tptp.denota610675952t_unit)) (=> (= P2 (@ (@ tptp.produc502616768t_unit A4) B4)) (@ (@ C2 A4) B4))) (@ (@ tptp.produc1718498667unit_o C2) P2))))
% 0.56/0.75 (assert (forall ((P2 tptp.produc640052711real_c) (C2 (-> tptp.produc190496183real_c tptp.produc190496183real_c Bool))) (=> (forall ((A4 tptp.produc190496183real_c) (B4 tptp.produc190496183real_c)) (=> (= P2 (@ (@ tptp.produc1687028567real_c A4) B4)) (@ (@ C2 A4) B4))) (@ (@ tptp.produc1726730540al_c_o C2) P2))))
% 0.56/0.75 (assert (forall ((P2 tptp.produc1821101996_sc_sz) (C2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz Bool))) (=> (forall ((A4 tptp.denota610675952t_unit) (B4 tptp.produc866628903_sc_sz)) (=> (= P2 (@ (@ tptp.produc789536734_sc_sz A4) B4)) (@ (@ C2 A4) B4))) (@ (@ tptp.produc619560141c_sz_o C2) P2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz Bool)) (A2 tptp.list_f1238882004_sc_sz) (B2 tptp.list_f1238882004_sc_sz)) (=> (@ (@ F2 A2) B2) (@ (@ tptp.produc2039065452c_sz_o F2) (@ (@ tptp.produc1822718231_sc_sz A2) B2)))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c Bool)) (A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c)) (=> (@ (@ F2 A2) B2) (@ (@ tptp.produc353381908al_c_o F2) (@ (@ tptp.produc394644079real_c A2) B2)))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit Bool)) (A2 tptp.produc866628903_sc_sz) (B2 tptp.denota610675952t_unit)) (=> (@ (@ F2 A2) B2) (@ (@ tptp.produc1718498667unit_o F2) (@ (@ tptp.produc502616768t_unit A2) B2)))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc190496183real_c tptp.produc190496183real_c Bool)) (A2 tptp.produc190496183real_c) (B2 tptp.produc190496183real_c)) (=> (@ (@ F2 A2) B2) (@ (@ tptp.produc1726730540al_c_o F2) (@ (@ tptp.produc1687028567real_c A2) B2)))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz Bool)) (A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz)) (=> (@ (@ F2 A2) B2) (@ (@ tptp.produc619560141c_sz_o F2) (@ (@ tptp.produc789536734_sc_sz A2) B2)))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.produc190496183real_c)) (A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz)) (= (@ (@ tptp.produc1575513068real_c F2) (@ (@ tptp.produc789536734_sc_sz A2) B2)) (@ (@ F2 A2) B2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz Bool)) (A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz)) (= (@ (@ tptp.produc619560141c_sz_o F2) (@ (@ tptp.produc789536734_sc_sz A2) B2)) (@ (@ F2 A2) B2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.set_Pr1389752855real_c)) (A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz)) (= (@ (@ tptp.produc237521996real_c F2) (@ (@ tptp.produc789536734_sc_sz A2) B2)) (@ (@ F2 A2) B2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.produc190496183real_c)) (A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c)) (= (@ (@ tptp.produc107375667real_c F2) (@ (@ tptp.produc394644079real_c A2) B2)) (@ (@ F2 A2) B2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit tptp.produc1821101996_sc_sz)) (A2 tptp.produc866628903_sc_sz) (B2 tptp.denota610675952t_unit)) (= (@ (@ tptp.produc435149849_sc_sz F2) (@ (@ tptp.produc502616768t_unit A2) B2)) (@ (@ F2 A2) B2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.produc190496183real_c))) (= (@ tptp.produc753314315real_c (@ tptp.produc1575513068real_c F2)) F2)))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz Bool))) (= (@ tptp.produc1086673900c_sz_o (@ tptp.produc619560141c_sz_o F2)) F2)))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.set_Pr1389752855real_c))) (= (@ tptp.produc1827049067real_c (@ tptp.produc237521996real_c F2)) F2)))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.produc190496183real_c))) (= (@ tptp.produc1119115220real_c (@ tptp.produc107375667real_c F2)) F2)))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit tptp.produc1821101996_sc_sz))) (= (@ tptp.produc295339066_sc_sz (@ tptp.produc435149849_sc_sz F2)) F2)))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc1821101996_sc_sz tptp.produc190496183real_c))) (= (@ tptp.produc1575513068real_c (@ tptp.produc753314315real_c F2)) F2)))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc1821101996_sc_sz Bool))) (= (@ tptp.produc619560141c_sz_o (@ tptp.produc1086673900c_sz_o F2)) F2)))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc1821101996_sc_sz tptp.set_Pr1389752855real_c))) (= (@ tptp.produc237521996real_c (@ tptp.produc1827049067real_c F2)) F2)))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc190496183real_c tptp.produc190496183real_c))) (= (@ tptp.produc107375667real_c (@ tptp.produc1119115220real_c F2)) F2)))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc999471430t_unit tptp.produc1821101996_sc_sz))) (= (@ tptp.produc435149849_sc_sz (@ tptp.produc295339066_sc_sz F2)) F2)))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.produc190496183real_c)) (P2 tptp.produc1821101996_sc_sz)) (= (@ (@ tptp.produc645763722real_c (lambda ((Y4 tptp.produc866628903_sc_sz) (X4 tptp.denota610675952t_unit)) (@ (@ F2 X4) Y4))) (@ tptp.produc532048446_sc_sz P2)) (@ (@ tptp.produc1575513068real_c F2) P2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz Bool)) (P2 tptp.produc1821101996_sc_sz)) (= (@ (@ tptp.produc1718498667unit_o (lambda ((Y4 tptp.produc866628903_sc_sz) (X4 tptp.denota610675952t_unit)) (@ (@ F2 X4) Y4))) (@ tptp.produc532048446_sc_sz P2)) (@ (@ tptp.produc619560141c_sz_o F2) P2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.set_Pr1389752855real_c)) (P2 tptp.produc1821101996_sc_sz)) (= (@ (@ tptp.produc593754858real_c (lambda ((Y4 tptp.produc866628903_sc_sz) (X4 tptp.denota610675952t_unit)) (@ (@ F2 X4) Y4))) (@ tptp.produc532048446_sc_sz P2)) (@ (@ tptp.produc237521996real_c F2) P2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit tptp.produc1821101996_sc_sz)) (P2 tptp.produc999471430t_unit)) (= (@ (@ tptp.produc448466487_sc_sz (lambda ((Y4 tptp.denota610675952t_unit) (X4 tptp.produc866628903_sc_sz)) (@ (@ F2 X4) Y4))) (@ tptp.produc245128480t_unit P2)) (@ (@ tptp.produc435149849_sc_sz F2) P2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit tptp.produc190496183real_c)) (P2 tptp.produc999471430t_unit)) (= (@ (@ tptp.produc1575513068real_c (lambda ((Y4 tptp.denota610675952t_unit) (X4 tptp.produc866628903_sc_sz)) (@ (@ F2 X4) Y4))) (@ tptp.produc245128480t_unit P2)) (@ (@ tptp.produc645763722real_c F2) P2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit Bool)) (P2 tptp.produc999471430t_unit)) (= (@ (@ tptp.produc619560141c_sz_o (lambda ((Y4 tptp.denota610675952t_unit) (X4 tptp.produc866628903_sc_sz)) (@ (@ F2 X4) Y4))) (@ tptp.produc245128480t_unit P2)) (@ (@ tptp.produc1718498667unit_o F2) P2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit tptp.set_Pr1389752855real_c)) (P2 tptp.produc999471430t_unit)) (= (@ (@ tptp.produc237521996real_c (lambda ((Y4 tptp.denota610675952t_unit) (X4 tptp.produc866628903_sc_sz)) (@ (@ F2 X4) Y4))) (@ tptp.produc245128480t_unit P2)) (@ (@ tptp.produc593754858real_c F2) P2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.produc190496183real_c)) (P2 tptp.produc190496183real_c)) (= (@ (@ tptp.produc107375667real_c (lambda ((Y4 tptp.finite1398487019real_c) (X4 tptp.finite1398487019real_c)) (@ (@ F2 X4) Y4))) (@ tptp.produc704157711real_c P2)) (@ (@ tptp.produc107375667real_c F2) P2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.produc1821101996_sc_sz)) (P2 tptp.produc1821101996_sc_sz)) (= (@ (@ tptp.produc435149849_sc_sz (lambda ((Y4 tptp.produc866628903_sc_sz) (X4 tptp.denota610675952t_unit)) (@ (@ F2 X4) Y4))) (@ tptp.produc532048446_sc_sz P2)) (@ (@ tptp.produc448466487_sc_sz F2) P2))))
% 0.56/0.75 (assert (forall ((A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c) (A tptp.set_Pr1389752855real_c) (F2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.produc190496183real_c))) (=> (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c A2) B2)) A) (@ (@ tptp.member1895684704real_c (@ (@ F2 A2) B2)) (@ (@ tptp.image_738229701real_c (@ tptp.produc107375667real_c F2)) A)))))
% 0.56/0.75 (assert (forall ((A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz) (A tptp.set_Pr1169339874_sc_sz) (F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.produc190496183real_c))) (=> (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz A2) B2)) A) (@ (@ tptp.member1895684704real_c (@ (@ F2 A2) B2)) (@ (@ tptp.image_386905412real_c (@ tptp.produc1575513068real_c F2)) A)))))
% 0.56/0.75 (assert (forall ((A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c) (A tptp.set_Pr1389752855real_c) (F2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.finite1398487019real_c))) (=> (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c A2) B2)) A) (@ (@ tptp.member1261661570real_c (@ (@ F2 A2) B2)) (@ (@ tptp.image_14429021real_c (@ tptp.produc567249007real_c F2)) A)))))
% 0.56/0.75 (assert (forall ((A2 tptp.list_f1238882004_sc_sz) (B2 tptp.list_f1238882004_sc_sz) (A tptp.set_Pr1774599175_sc_sz) (F2 (-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz tptp.finite1398487019real_c))) (=> (@ (@ tptp.member245028432_sc_sz (@ (@ tptp.produc1822718231_sc_sz A2) B2)) A) (@ (@ tptp.member1261661570real_c (@ (@ F2 A2) B2)) (@ (@ tptp.image_1332486093real_c (@ tptp.produc236226839real_c F2)) A)))))
% 0.56/0.75 (assert (forall ((A2 tptp.list_f1238882004_sc_sz) (B2 tptp.list_f1238882004_sc_sz) (A tptp.set_Pr1774599175_sc_sz) (F2 (-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz tptp.produc190496183real_c))) (=> (@ (@ tptp.member245028432_sc_sz (@ (@ tptp.produc1822718231_sc_sz A2) B2)) A) (@ (@ tptp.member1895684704real_c (@ (@ F2 A2) B2)) (@ (@ tptp.image_1121381717real_c (@ tptp.produc126255499real_c F2)) A)))))
% 0.56/0.75 (assert (forall ((A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c) (A tptp.set_Pr1389752855real_c) (F2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.produc866628903_sc_sz))) (=> (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c A2) B2)) A) (@ (@ tptp.member245028432_sc_sz (@ (@ F2 A2) B2)) (@ (@ tptp.image_388766773_sc_sz (@ tptp.produc1341776291_sc_sz F2)) A)))))
% 0.56/0.75 (assert (forall ((A2 tptp.produc190496183real_c) (B2 tptp.produc190496183real_c) (A tptp.set_Pr754230471real_c) (F2 (-> tptp.produc190496183real_c tptp.produc190496183real_c tptp.finite1398487019real_c))) (=> (@ (@ tptp.member346808080real_c (@ (@ tptp.produc1687028567real_c A2) B2)) A) (@ (@ tptp.member1261661570real_c (@ (@ F2 A2) B2)) (@ (@ tptp.image_124598413real_c (@ tptp.produc344593239real_c F2)) A)))))
% 0.56/0.75 (assert (forall ((A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz) (A tptp.set_Pr1169339874_sc_sz) (F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz Bool))) (=> (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz A2) B2)) A) (@ (@ tptp.member_o (@ (@ F2 A2) B2)) (@ (@ tptp.image_1641704997c_sz_o (@ tptp.produc619560141c_sz_o F2)) A)))))
% 0.56/0.75 (assert (forall ((A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz) (A tptp.set_Pr1169339874_sc_sz) (F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.finite1398487019real_c))) (=> (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz A2) B2)) A) (@ (@ tptp.member1261661570real_c (@ (@ F2 A2) B2)) (@ (@ tptp.image_1268968350real_c (@ tptp.produc1920474870real_c F2)) A)))))
% 0.56/0.75 (assert (forall ((A2 tptp.produc866628903_sc_sz) (B2 tptp.denota610675952t_unit) (A tptp.set_Pr2041213564t_unit) (F2 (-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit tptp.finite1398487019real_c))) (=> (@ (@ tptp.member235934813t_unit (@ (@ tptp.produc502616768t_unit A2) B2)) A) (@ (@ tptp.member1261661570real_c (@ (@ F2 A2) B2)) (@ (@ tptp.image_1269062456real_c (@ tptp.produc1753599960real_c F2)) A)))))
% 0.56/0.75 (assert (= tptp.produc1086673900c_sz_o (lambda ((C3 (-> tptp.produc1821101996_sc_sz Bool)) (X4 tptp.denota610675952t_unit) (Y4 tptp.produc866628903_sc_sz)) (@ C3 (@ (@ tptp.produc789536734_sc_sz X4) Y4)))))
% 0.56/0.75 (assert (forall ((C2 Bool)) (= (@ tptp.produc1086673900c_sz_o (lambda ((X4 tptp.produc1821101996_sc_sz)) C2)) (lambda ((X4 tptp.denota610675952t_unit) (Y4 tptp.produc866628903_sc_sz)) C2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.produc190496183real_c)) (X1 tptp.denota610675952t_unit) (X2 tptp.produc866628903_sc_sz)) (= (@ (@ tptp.produc1575513068real_c F2) (@ (@ tptp.produc789536734_sc_sz X1) X2)) (@ (@ F2 X1) X2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz Bool)) (X1 tptp.denota610675952t_unit) (X2 tptp.produc866628903_sc_sz)) (= (@ (@ tptp.produc619560141c_sz_o F2) (@ (@ tptp.produc789536734_sc_sz X1) X2)) (@ (@ F2 X1) X2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.set_Pr1389752855real_c)) (X1 tptp.denota610675952t_unit) (X2 tptp.produc866628903_sc_sz)) (= (@ (@ tptp.produc237521996real_c F2) (@ (@ tptp.produc789536734_sc_sz X1) X2)) (@ (@ F2 X1) X2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.produc190496183real_c)) (X1 tptp.finite1398487019real_c) (X2 tptp.finite1398487019real_c)) (= (@ (@ tptp.produc107375667real_c F2) (@ (@ tptp.produc394644079real_c X1) X2)) (@ (@ F2 X1) X2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit tptp.produc1821101996_sc_sz)) (X1 tptp.produc866628903_sc_sz) (X2 tptp.denota610675952t_unit)) (= (@ (@ tptp.produc435149849_sc_sz F2) (@ (@ tptp.produc502616768t_unit X1) X2)) (@ (@ F2 X1) X2))))
% 0.56/0.75 (assert (forall ((Z tptp.produc190496183real_c) (C2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.set_Pr1389752855real_c)) (P2 tptp.produc1821101996_sc_sz)) (=> (@ (@ tptp.member1895684704real_c Z) (@ (@ tptp.produc237521996real_c C2) P2)) (not (forall ((X3 tptp.denota610675952t_unit) (Y3 tptp.produc866628903_sc_sz)) (=> (= P2 (@ (@ tptp.produc789536734_sc_sz X3) Y3)) (not (@ (@ tptp.member1895684704real_c Z) (@ (@ C2 X3) Y3)))))))))
% 0.56/0.75 (assert (forall ((Z tptp.finite1398487019real_c) (C2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.set_Fi1407883041real_c)) (P2 tptp.produc190496183real_c)) (=> (@ (@ tptp.member1261661570real_c Z) (@ (@ tptp.produc29022117real_c C2) P2)) (not (forall ((X3 tptp.finite1398487019real_c) (Y3 tptp.finite1398487019real_c)) (=> (= P2 (@ (@ tptp.produc394644079real_c X3) Y3)) (not (@ (@ tptp.member1261661570real_c Z) (@ (@ C2 X3) Y3)))))))))
% 0.56/0.75 (assert (forall ((Z tptp.finite1398487019real_c) (C2 (-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz tptp.set_Fi1407883041real_c)) (P2 tptp.produc866628903_sc_sz)) (=> (@ (@ tptp.member1261661570real_c Z) (@ (@ tptp.produc1449736269real_c C2) P2)) (not (forall ((X3 tptp.list_f1238882004_sc_sz) (Y3 tptp.list_f1238882004_sc_sz)) (=> (= P2 (@ (@ tptp.produc1822718231_sc_sz X3) Y3)) (not (@ (@ tptp.member1261661570real_c Z) (@ (@ C2 X3) Y3)))))))))
% 0.56/0.75 (assert (forall ((Z tptp.produc190496183real_c) (C2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.set_Pr1389752855real_c)) (P2 tptp.produc190496183real_c)) (=> (@ (@ tptp.member1895684704real_c Z) (@ (@ tptp.produc923381907real_c C2) P2)) (not (forall ((X3 tptp.finite1398487019real_c) (Y3 tptp.finite1398487019real_c)) (=> (= P2 (@ (@ tptp.produc394644079real_c X3) Y3)) (not (@ (@ tptp.member1895684704real_c Z) (@ (@ C2 X3) Y3)))))))))
% 0.56/0.75 (assert (forall ((Z tptp.produc190496183real_c) (C2 (-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz tptp.set_Pr1389752855real_c)) (P2 tptp.produc866628903_sc_sz)) (=> (@ (@ tptp.member1895684704real_c Z) (@ (@ tptp.produc6841835real_c C2) P2)) (not (forall ((X3 tptp.list_f1238882004_sc_sz) (Y3 tptp.list_f1238882004_sc_sz)) (=> (= P2 (@ (@ tptp.produc1822718231_sc_sz X3) Y3)) (not (@ (@ tptp.member1895684704real_c Z) (@ (@ C2 X3) Y3)))))))))
% 0.56/0.75 (assert (forall ((Z tptp.produc866628903_sc_sz) (C2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.set_Pr1774599175_sc_sz)) (P2 tptp.produc190496183real_c)) (=> (@ (@ tptp.member245028432_sc_sz Z) (@ (@ tptp.produc642283651_sc_sz C2) P2)) (not (forall ((X3 tptp.finite1398487019real_c) (Y3 tptp.finite1398487019real_c)) (=> (= P2 (@ (@ tptp.produc394644079real_c X3) Y3)) (not (@ (@ tptp.member245028432_sc_sz Z) (@ (@ C2 X3) Y3)))))))))
% 0.56/0.75 (assert (forall ((Z tptp.finite1398487019real_c) (C2 (-> tptp.produc190496183real_c tptp.produc190496183real_c tptp.set_Fi1407883041real_c)) (P2 tptp.produc640052711real_c)) (=> (@ (@ tptp.member1261661570real_c Z) (@ (@ tptp.produc1066779277real_c C2) P2)) (not (forall ((X3 tptp.produc190496183real_c) (Y3 tptp.produc190496183real_c)) (=> (= P2 (@ (@ tptp.produc1687028567real_c X3) Y3)) (not (@ (@ tptp.member1261661570real_c Z) (@ (@ C2 X3) Y3)))))))))
% 0.56/0.75 (assert (forall ((Z tptp.finite1398487019real_c) (C2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.set_Fi1407883041real_c)) (P2 tptp.produc1821101996_sc_sz)) (=> (@ (@ tptp.member1261661570real_c Z) (@ (@ tptp.produc2068697644real_c C2) P2)) (not (forall ((X3 tptp.denota610675952t_unit) (Y3 tptp.produc866628903_sc_sz)) (=> (= P2 (@ (@ tptp.produc789536734_sc_sz X3) Y3)) (not (@ (@ tptp.member1261661570real_c Z) (@ (@ C2 X3) Y3)))))))))
% 0.56/0.75 (assert (forall ((Z tptp.finite1398487019real_c) (C2 (-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit tptp.set_Fi1407883041real_c)) (P2 tptp.produc999471430t_unit)) (=> (@ (@ tptp.member1261661570real_c Z) (@ (@ tptp.produc1368849166real_c C2) P2)) (not (forall ((X3 tptp.produc866628903_sc_sz) (Y3 tptp.denota610675952t_unit)) (=> (= P2 (@ (@ tptp.produc502616768t_unit X3) Y3)) (not (@ (@ tptp.member1261661570real_c Z) (@ (@ C2 X3) Y3)))))))))
% 0.56/0.75 (assert (forall ((Z tptp.produc866628903_sc_sz) (C2 (-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz tptp.set_Pr1774599175_sc_sz)) (P2 tptp.produc866628903_sc_sz)) (=> (@ (@ tptp.member245028432_sc_sz Z) (@ (@ tptp.produc1563580891_sc_sz C2) P2)) (not (forall ((X3 tptp.list_f1238882004_sc_sz) (Y3 tptp.list_f1238882004_sc_sz)) (=> (= P2 (@ (@ tptp.produc1822718231_sc_sz X3) Y3)) (not (@ (@ tptp.member245028432_sc_sz Z) (@ (@ C2 X3) Y3)))))))))
% 0.56/0.75 (assert (forall ((H (-> Bool Bool)) (F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz Bool)) (Prod tptp.produc1821101996_sc_sz)) (= (@ H (@ (@ tptp.produc619560141c_sz_o F2) Prod)) (@ (@ tptp.produc619560141c_sz_o (lambda ((X12 tptp.denota610675952t_unit) (X22 tptp.produc866628903_sc_sz)) (@ H (@ (@ F2 X12) X22)))) Prod))))
% 0.56/0.75 (assert (forall ((H (-> tptp.produc190496183real_c tptp.produc190496183real_c)) (F2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.produc190496183real_c)) (Prod tptp.produc190496183real_c)) (= (@ H (@ (@ tptp.produc107375667real_c F2) Prod)) (@ (@ tptp.produc107375667real_c (lambda ((X12 tptp.finite1398487019real_c) (X22 tptp.finite1398487019real_c)) (@ H (@ (@ F2 X12) X22)))) Prod))))
% 0.56/0.75 (assert (forall ((H (-> tptp.produc190496183real_c Bool)) (F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.produc190496183real_c)) (Prod tptp.produc1821101996_sc_sz)) (= (@ H (@ (@ tptp.produc1575513068real_c F2) Prod)) (@ (@ tptp.produc619560141c_sz_o (lambda ((X12 tptp.denota610675952t_unit) (X22 tptp.produc866628903_sc_sz)) (@ H (@ (@ F2 X12) X22)))) Prod))))
% 0.56/0.75 (assert (forall ((H (-> Bool tptp.produc190496183real_c)) (F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz Bool)) (Prod tptp.produc1821101996_sc_sz)) (= (@ H (@ (@ tptp.produc619560141c_sz_o F2) Prod)) (@ (@ tptp.produc1575513068real_c (lambda ((X12 tptp.denota610675952t_unit) (X22 tptp.produc866628903_sc_sz)) (@ H (@ (@ F2 X12) X22)))) Prod))))
% 0.56/0.75 (assert (forall ((H (-> Bool tptp.set_Pr1389752855real_c)) (F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz Bool)) (Prod tptp.produc1821101996_sc_sz)) (= (@ H (@ (@ tptp.produc619560141c_sz_o F2) Prod)) (@ (@ tptp.produc237521996real_c (lambda ((X12 tptp.denota610675952t_unit) (X22 tptp.produc866628903_sc_sz)) (@ H (@ (@ F2 X12) X22)))) Prod))))
% 0.56/0.75 (assert (forall ((H (-> tptp.set_Pr1389752855real_c Bool)) (F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.set_Pr1389752855real_c)) (Prod tptp.produc1821101996_sc_sz)) (= (@ H (@ (@ tptp.produc237521996real_c F2) Prod)) (@ (@ tptp.produc619560141c_sz_o (lambda ((X12 tptp.denota610675952t_unit) (X22 tptp.produc866628903_sc_sz)) (@ H (@ (@ F2 X12) X22)))) Prod))))
% 0.56/0.75 (assert (forall ((H (-> tptp.produc190496183real_c tptp.produc190496183real_c)) (F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.produc190496183real_c)) (Prod tptp.produc1821101996_sc_sz)) (= (@ H (@ (@ tptp.produc1575513068real_c F2) Prod)) (@ (@ tptp.produc1575513068real_c (lambda ((X12 tptp.denota610675952t_unit) (X22 tptp.produc866628903_sc_sz)) (@ H (@ (@ F2 X12) X22)))) Prod))))
% 0.56/0.75 (assert (forall ((H (-> tptp.produc190496183real_c tptp.set_Pr1389752855real_c)) (F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.produc190496183real_c)) (Prod tptp.produc1821101996_sc_sz)) (= (@ H (@ (@ tptp.produc1575513068real_c F2) Prod)) (@ (@ tptp.produc237521996real_c (lambda ((X12 tptp.denota610675952t_unit) (X22 tptp.produc866628903_sc_sz)) (@ H (@ (@ F2 X12) X22)))) Prod))))
% 0.56/0.75 (assert (forall ((H (-> tptp.set_Pr1389752855real_c tptp.produc190496183real_c)) (F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.set_Pr1389752855real_c)) (Prod tptp.produc1821101996_sc_sz)) (= (@ H (@ (@ tptp.produc237521996real_c F2) Prod)) (@ (@ tptp.produc1575513068real_c (lambda ((X12 tptp.denota610675952t_unit) (X22 tptp.produc866628903_sc_sz)) (@ H (@ (@ F2 X12) X22)))) Prod))))
% 0.56/0.75 (assert (forall ((H (-> tptp.set_Pr1389752855real_c tptp.set_Pr1389752855real_c)) (F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.set_Pr1389752855real_c)) (Prod tptp.produc1821101996_sc_sz)) (= (@ H (@ (@ tptp.produc237521996real_c F2) Prod)) (@ (@ tptp.produc237521996real_c (lambda ((X12 tptp.denota610675952t_unit) (X22 tptp.produc866628903_sc_sz)) (@ H (@ (@ F2 X12) X22)))) Prod))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.produc190496183real_c)) (G (-> tptp.produc1821101996_sc_sz tptp.produc190496183real_c))) (=> (forall ((X3 tptp.denota610675952t_unit) (Y3 tptp.produc866628903_sc_sz)) (= (@ (@ F2 X3) Y3) (@ G (@ (@ tptp.produc789536734_sc_sz X3) Y3)))) (= (@ tptp.produc1575513068real_c F2) G))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz Bool)) (G (-> tptp.produc1821101996_sc_sz Bool))) (=> (forall ((X3 tptp.denota610675952t_unit) (Y3 tptp.produc866628903_sc_sz)) (= (@ (@ F2 X3) Y3) (@ G (@ (@ tptp.produc789536734_sc_sz X3) Y3)))) (= (@ tptp.produc619560141c_sz_o F2) G))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.set_Pr1389752855real_c)) (G (-> tptp.produc1821101996_sc_sz tptp.set_Pr1389752855real_c))) (=> (forall ((X3 tptp.denota610675952t_unit) (Y3 tptp.produc866628903_sc_sz)) (= (@ (@ F2 X3) Y3) (@ G (@ (@ tptp.produc789536734_sc_sz X3) Y3)))) (= (@ tptp.produc237521996real_c F2) G))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.produc190496183real_c)) (G (-> tptp.produc190496183real_c tptp.produc190496183real_c))) (=> (forall ((X3 tptp.finite1398487019real_c) (Y3 tptp.finite1398487019real_c)) (= (@ (@ F2 X3) Y3) (@ G (@ (@ tptp.produc394644079real_c X3) Y3)))) (= (@ tptp.produc107375667real_c F2) G))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit tptp.produc1821101996_sc_sz)) (G (-> tptp.produc999471430t_unit tptp.produc1821101996_sc_sz))) (=> (forall ((X3 tptp.produc866628903_sc_sz) (Y3 tptp.denota610675952t_unit)) (= (@ (@ F2 X3) Y3) (@ G (@ (@ tptp.produc502616768t_unit X3) Y3)))) (= (@ tptp.produc435149849_sc_sz F2) G))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc1821101996_sc_sz tptp.produc190496183real_c))) (= (@ tptp.produc1575513068real_c (lambda ((X4 tptp.denota610675952t_unit) (Y4 tptp.produc866628903_sc_sz)) (@ F2 (@ (@ tptp.produc789536734_sc_sz X4) Y4)))) F2)))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc1821101996_sc_sz Bool))) (= (@ tptp.produc619560141c_sz_o (lambda ((X4 tptp.denota610675952t_unit) (Y4 tptp.produc866628903_sc_sz)) (@ F2 (@ (@ tptp.produc789536734_sc_sz X4) Y4)))) F2)))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc1821101996_sc_sz tptp.set_Pr1389752855real_c))) (= (@ tptp.produc237521996real_c (lambda ((X4 tptp.denota610675952t_unit) (Y4 tptp.produc866628903_sc_sz)) (@ F2 (@ (@ tptp.produc789536734_sc_sz X4) Y4)))) F2)))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc190496183real_c tptp.produc190496183real_c))) (= (@ tptp.produc107375667real_c (lambda ((X4 tptp.finite1398487019real_c) (Y4 tptp.finite1398487019real_c)) (@ F2 (@ (@ tptp.produc394644079real_c X4) Y4)))) F2)))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc999471430t_unit tptp.produc1821101996_sc_sz))) (= (@ tptp.produc435149849_sc_sz (lambda ((X4 tptp.produc866628903_sc_sz) (Y4 tptp.denota610675952t_unit)) (@ F2 (@ (@ tptp.produc502616768t_unit X4) Y4)))) F2)))
% 0.56/0.75 (assert (forall ((Q (-> tptp.produc190496183real_c Bool)) (P (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.produc190496183real_c)) (Z tptp.produc1821101996_sc_sz)) (=> (@ Q (@ (@ tptp.produc1575513068real_c P) Z)) (not (forall ((X3 tptp.denota610675952t_unit) (Y3 tptp.produc866628903_sc_sz)) (=> (= Z (@ (@ tptp.produc789536734_sc_sz X3) Y3)) (not (@ Q (@ (@ P X3) Y3)))))))))
% 0.56/0.75 (assert (forall ((Q (-> Bool Bool)) (P (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz Bool)) (Z tptp.produc1821101996_sc_sz)) (=> (@ Q (@ (@ tptp.produc619560141c_sz_o P) Z)) (not (forall ((X3 tptp.denota610675952t_unit) (Y3 tptp.produc866628903_sc_sz)) (=> (= Z (@ (@ tptp.produc789536734_sc_sz X3) Y3)) (not (@ Q (@ (@ P X3) Y3)))))))))
% 0.56/0.75 (assert (forall ((Q (-> tptp.set_Pr1389752855real_c Bool)) (P (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.set_Pr1389752855real_c)) (Z tptp.produc1821101996_sc_sz)) (=> (@ Q (@ (@ tptp.produc237521996real_c P) Z)) (not (forall ((X3 tptp.denota610675952t_unit) (Y3 tptp.produc866628903_sc_sz)) (=> (= Z (@ (@ tptp.produc789536734_sc_sz X3) Y3)) (not (@ Q (@ (@ P X3) Y3)))))))))
% 0.56/0.75 (assert (forall ((Q (-> tptp.produc190496183real_c Bool)) (P (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.produc190496183real_c)) (Z tptp.produc190496183real_c)) (=> (@ Q (@ (@ tptp.produc107375667real_c P) Z)) (not (forall ((X3 tptp.finite1398487019real_c) (Y3 tptp.finite1398487019real_c)) (=> (= Z (@ (@ tptp.produc394644079real_c X3) Y3)) (not (@ Q (@ (@ P X3) Y3)))))))))
% 0.56/0.75 (assert (forall ((Q (-> tptp.produc1821101996_sc_sz Bool)) (P (-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit tptp.produc1821101996_sc_sz)) (Z tptp.produc999471430t_unit)) (=> (@ Q (@ (@ tptp.produc435149849_sc_sz P) Z)) (not (forall ((X3 tptp.produc866628903_sc_sz) (Y3 tptp.denota610675952t_unit)) (=> (= Z (@ (@ tptp.produc502616768t_unit X3) Y3)) (not (@ Q (@ (@ P X3) Y3)))))))))
% 0.56/0.75 (assert (forall ((C2 (-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz Bool)) (P2 tptp.produc866628903_sc_sz)) (=> (@ (@ tptp.produc2039065452c_sz_o C2) P2) (not (forall ((X3 tptp.list_f1238882004_sc_sz) (Y3 tptp.list_f1238882004_sc_sz)) (=> (= P2 (@ (@ tptp.produc1822718231_sc_sz X3) Y3)) (not (@ (@ C2 X3) Y3))))))))
% 0.56/0.75 (assert (forall ((C2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c Bool)) (P2 tptp.produc190496183real_c)) (=> (@ (@ tptp.produc353381908al_c_o C2) P2) (not (forall ((X3 tptp.finite1398487019real_c) (Y3 tptp.finite1398487019real_c)) (=> (= P2 (@ (@ tptp.produc394644079real_c X3) Y3)) (not (@ (@ C2 X3) Y3))))))))
% 0.56/0.75 (assert (forall ((C2 (-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit Bool)) (P2 tptp.produc999471430t_unit)) (=> (@ (@ tptp.produc1718498667unit_o C2) P2) (not (forall ((X3 tptp.produc866628903_sc_sz) (Y3 tptp.denota610675952t_unit)) (=> (= P2 (@ (@ tptp.produc502616768t_unit X3) Y3)) (not (@ (@ C2 X3) Y3))))))))
% 0.56/0.75 (assert (forall ((C2 (-> tptp.produc190496183real_c tptp.produc190496183real_c Bool)) (P2 tptp.produc640052711real_c)) (=> (@ (@ tptp.produc1726730540al_c_o C2) P2) (not (forall ((X3 tptp.produc190496183real_c) (Y3 tptp.produc190496183real_c)) (=> (= P2 (@ (@ tptp.produc1687028567real_c X3) Y3)) (not (@ (@ C2 X3) Y3))))))))
% 0.56/0.75 (assert (forall ((C2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz Bool)) (P2 tptp.produc1821101996_sc_sz)) (=> (@ (@ tptp.produc619560141c_sz_o C2) P2) (not (forall ((X3 tptp.denota610675952t_unit) (Y3 tptp.produc866628903_sc_sz)) (=> (= P2 (@ (@ tptp.produc789536734_sc_sz X3) Y3)) (not (@ (@ C2 X3) Y3))))))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz Bool)) (A2 tptp.list_f1238882004_sc_sz) (B2 tptp.list_f1238882004_sc_sz)) (=> (@ (@ tptp.produc2039065452c_sz_o F2) (@ (@ tptp.produc1822718231_sc_sz A2) B2)) (@ (@ F2 A2) B2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c Bool)) (A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c)) (=> (@ (@ tptp.produc353381908al_c_o F2) (@ (@ tptp.produc394644079real_c A2) B2)) (@ (@ F2 A2) B2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit Bool)) (A2 tptp.produc866628903_sc_sz) (B2 tptp.denota610675952t_unit)) (=> (@ (@ tptp.produc1718498667unit_o F2) (@ (@ tptp.produc502616768t_unit A2) B2)) (@ (@ F2 A2) B2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc190496183real_c tptp.produc190496183real_c Bool)) (A2 tptp.produc190496183real_c) (B2 tptp.produc190496183real_c)) (=> (@ (@ tptp.produc1726730540al_c_o F2) (@ (@ tptp.produc1687028567real_c A2) B2)) (@ (@ F2 A2) B2))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz Bool)) (A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz)) (=> (@ (@ tptp.produc619560141c_sz_o F2) (@ (@ tptp.produc789536734_sc_sz A2) B2)) (@ (@ F2 A2) B2))))
% 0.56/0.75 (assert (forall ((Y5 tptp.set_Pr1389752855real_c)) (= (@ (@ tptp.image_738229701real_c (lambda ((X4 tptp.produc190496183real_c)) X4)) Y5) Y5)))
% 0.56/0.75 (assert (forall ((B2 tptp.produc190496183real_c) (F2 (-> tptp.produc190496183real_c tptp.produc190496183real_c)) (X tptp.produc190496183real_c) (A tptp.set_Pr1389752855real_c)) (=> (= B2 (@ F2 X)) (=> (@ (@ tptp.member1895684704real_c X) A) (@ (@ tptp.member1895684704real_c B2) (@ (@ tptp.image_738229701real_c F2) A))))))
% 0.56/0.75 (assert (forall ((B2 tptp.finite1398487019real_c) (F2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c)) (X tptp.finite1398487019real_c) (A tptp.set_Fi1407883041real_c)) (=> (= B2 (@ F2 X)) (=> (@ (@ tptp.member1261661570real_c X) A) (@ (@ tptp.member1261661570real_c B2) (@ (@ tptp.image_1514048989real_c F2) A))))))
% 0.56/0.75 (assert (forall ((B2 tptp.finite1398487019real_c) (F2 (-> tptp.produc190496183real_c tptp.finite1398487019real_c)) (X tptp.produc190496183real_c) (A tptp.set_Pr1389752855real_c)) (=> (= B2 (@ F2 X)) (=> (@ (@ tptp.member1895684704real_c X) A) (@ (@ tptp.member1261661570real_c B2) (@ (@ tptp.image_14429021real_c F2) A))))))
% 0.56/0.75 (assert (forall ((B2 tptp.produc190496183real_c) (F2 (-> tptp.finite1398487019real_c tptp.produc190496183real_c)) (X tptp.finite1398487019real_c) (A tptp.set_Fi1407883041real_c)) (=> (= B2 (@ F2 X)) (=> (@ (@ tptp.member1261661570real_c X) A) (@ (@ tptp.member1895684704real_c B2) (@ (@ tptp.image_1461287749real_c F2) A))))))
% 0.56/0.75 (assert (forall ((B2 tptp.produc866628903_sc_sz) (F2 (-> tptp.finite1398487019real_c tptp.produc866628903_sc_sz)) (X tptp.finite1398487019real_c) (A tptp.set_Fi1407883041real_c)) (=> (= B2 (@ F2 X)) (=> (@ (@ tptp.member1261661570real_c X) A) (@ (@ tptp.member245028432_sc_sz B2) (@ (@ tptp.image_290183605_sc_sz F2) A))))))
% 0.56/0.75 (assert (forall ((B2 tptp.finite1398487019real_c) (F2 (-> tptp.produc866628903_sc_sz tptp.finite1398487019real_c)) (X tptp.produc866628903_sc_sz) (A tptp.set_Pr1774599175_sc_sz)) (=> (= B2 (@ F2 X)) (=> (@ (@ tptp.member245028432_sc_sz X) A) (@ (@ tptp.member1261661570real_c B2) (@ (@ tptp.image_1332486093real_c F2) A))))))
% 0.56/0.75 (assert (forall ((B2 tptp.produc866628903_sc_sz) (F2 (-> tptp.produc190496183real_c tptp.produc866628903_sc_sz)) (X tptp.produc190496183real_c) (A tptp.set_Pr1389752855real_c)) (=> (= B2 (@ F2 X)) (=> (@ (@ tptp.member1895684704real_c X) A) (@ (@ tptp.member245028432_sc_sz B2) (@ (@ tptp.image_388766773_sc_sz F2) A))))))
% 0.56/0.75 (assert (forall ((B2 tptp.produc640052711real_c) (F2 (-> tptp.finite1398487019real_c tptp.produc640052711real_c)) (X tptp.finite1398487019real_c) (A tptp.set_Fi1407883041real_c)) (=> (= B2 (@ F2 X)) (=> (@ (@ tptp.member1261661570real_c X) A) (@ (@ tptp.member346808080real_c B2) (@ (@ tptp.image_1746662005real_c F2) A))))))
% 0.56/0.75 (assert (forall ((B2 tptp.finite1398487019real_c) (F2 (-> tptp.produc640052711real_c tptp.finite1398487019real_c)) (X tptp.produc640052711real_c) (A tptp.set_Pr754230471real_c)) (=> (= B2 (@ F2 X)) (=> (@ (@ tptp.member346808080real_c X) A) (@ (@ tptp.member1261661570real_c B2) (@ (@ tptp.image_124598413real_c F2) A))))))
% 0.56/0.75 (assert (forall ((B2 tptp.produc190496183real_c) (F2 (-> tptp.produc866628903_sc_sz tptp.produc190496183real_c)) (X tptp.produc866628903_sc_sz) (A tptp.set_Pr1774599175_sc_sz)) (=> (= B2 (@ F2 X)) (=> (@ (@ tptp.member245028432_sc_sz X) A) (@ (@ tptp.member1895684704real_c B2) (@ (@ tptp.image_1121381717real_c F2) A))))))
% 0.56/0.75 (assert (forall ((P Bool) (Q (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz Bool))) (= (@ tptp.produc619560141c_sz_o (lambda ((A5 tptp.denota610675952t_unit) (B5 tptp.produc866628903_sc_sz)) (and P (@ (@ Q A5) B5)))) (lambda ((Ab tptp.produc1821101996_sc_sz)) (and P (@ (@ tptp.produc619560141c_sz_o Q) Ab))))))
% 0.56/0.75 (assert (forall ((Prod tptp.produc1821101996_sc_sz)) (@ (@ tptp.produc619560141c_sz_o (lambda ((Uu tptp.denota610675952t_unit) (Uv tptp.produc866628903_sc_sz)) true)) Prod)))
% 0.56/0.75 (assert (forall ((X tptp.produc190496183real_c) (A tptp.set_Pr1389752855real_c) (B2 tptp.produc190496183real_c) (F2 (-> tptp.produc190496183real_c tptp.produc190496183real_c))) (=> (@ (@ tptp.member1895684704real_c X) A) (=> (= B2 (@ F2 X)) (@ (@ tptp.member1895684704real_c B2) (@ (@ tptp.image_738229701real_c F2) A))))))
% 0.56/0.75 (assert (forall ((X tptp.finite1398487019real_c) (A tptp.set_Fi1407883041real_c) (B2 tptp.finite1398487019real_c) (F2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c))) (=> (@ (@ tptp.member1261661570real_c X) A) (=> (= B2 (@ F2 X)) (@ (@ tptp.member1261661570real_c B2) (@ (@ tptp.image_1514048989real_c F2) A))))))
% 0.56/0.75 (assert (forall ((X tptp.produc190496183real_c) (A tptp.set_Pr1389752855real_c) (B2 tptp.finite1398487019real_c) (F2 (-> tptp.produc190496183real_c tptp.finite1398487019real_c))) (=> (@ (@ tptp.member1895684704real_c X) A) (=> (= B2 (@ F2 X)) (@ (@ tptp.member1261661570real_c B2) (@ (@ tptp.image_14429021real_c F2) A))))))
% 0.56/0.75 (assert (forall ((X tptp.finite1398487019real_c) (A tptp.set_Fi1407883041real_c) (B2 tptp.produc190496183real_c) (F2 (-> tptp.finite1398487019real_c tptp.produc190496183real_c))) (=> (@ (@ tptp.member1261661570real_c X) A) (=> (= B2 (@ F2 X)) (@ (@ tptp.member1895684704real_c B2) (@ (@ tptp.image_1461287749real_c F2) A))))))
% 0.56/0.75 (assert (forall ((X tptp.finite1398487019real_c) (A tptp.set_Fi1407883041real_c) (B2 tptp.produc866628903_sc_sz) (F2 (-> tptp.finite1398487019real_c tptp.produc866628903_sc_sz))) (=> (@ (@ tptp.member1261661570real_c X) A) (=> (= B2 (@ F2 X)) (@ (@ tptp.member245028432_sc_sz B2) (@ (@ tptp.image_290183605_sc_sz F2) A))))))
% 0.56/0.75 (assert (forall ((X tptp.produc866628903_sc_sz) (A tptp.set_Pr1774599175_sc_sz) (B2 tptp.finite1398487019real_c) (F2 (-> tptp.produc866628903_sc_sz tptp.finite1398487019real_c))) (=> (@ (@ tptp.member245028432_sc_sz X) A) (=> (= B2 (@ F2 X)) (@ (@ tptp.member1261661570real_c B2) (@ (@ tptp.image_1332486093real_c F2) A))))))
% 0.56/0.75 (assert (forall ((X tptp.produc190496183real_c) (A tptp.set_Pr1389752855real_c) (B2 tptp.produc866628903_sc_sz) (F2 (-> tptp.produc190496183real_c tptp.produc866628903_sc_sz))) (=> (@ (@ tptp.member1895684704real_c X) A) (=> (= B2 (@ F2 X)) (@ (@ tptp.member245028432_sc_sz B2) (@ (@ tptp.image_388766773_sc_sz F2) A))))))
% 0.56/0.75 (assert (forall ((X tptp.finite1398487019real_c) (A tptp.set_Fi1407883041real_c) (B2 tptp.produc640052711real_c) (F2 (-> tptp.finite1398487019real_c tptp.produc640052711real_c))) (=> (@ (@ tptp.member1261661570real_c X) A) (=> (= B2 (@ F2 X)) (@ (@ tptp.member346808080real_c B2) (@ (@ tptp.image_1746662005real_c F2) A))))))
% 0.56/0.75 (assert (forall ((X tptp.produc640052711real_c) (A tptp.set_Pr754230471real_c) (B2 tptp.finite1398487019real_c) (F2 (-> tptp.produc640052711real_c tptp.finite1398487019real_c))) (=> (@ (@ tptp.member346808080real_c X) A) (=> (= B2 (@ F2 X)) (@ (@ tptp.member1261661570real_c B2) (@ (@ tptp.image_124598413real_c F2) A))))))
% 0.56/0.75 (assert (forall ((X tptp.produc866628903_sc_sz) (A tptp.set_Pr1774599175_sc_sz) (B2 tptp.produc190496183real_c) (F2 (-> tptp.produc866628903_sc_sz tptp.produc190496183real_c))) (=> (@ (@ tptp.member245028432_sc_sz X) A) (=> (= B2 (@ F2 X)) (@ (@ tptp.member1895684704real_c B2) (@ (@ tptp.image_1121381717real_c F2) A))))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc1821101996_sc_sz tptp.produc190496183real_c)) (A tptp.set_Pr1169339874_sc_sz) (P (-> tptp.produc190496183real_c Bool))) (=> (forall ((X3 tptp.produc190496183real_c)) (=> (@ (@ tptp.member1895684704real_c X3) (@ (@ tptp.image_386905412real_c F2) A)) (@ P X3))) (forall ((X5 tptp.produc1821101996_sc_sz)) (=> (@ (@ tptp.member1057565379_sc_sz X5) A) (@ P (@ F2 X5)))))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc1821101996_sc_sz tptp.produc999471430t_unit)) (A tptp.set_Pr1169339874_sc_sz) (P (-> tptp.produc999471430t_unit Bool))) (=> (forall ((X3 tptp.produc999471430t_unit)) (=> (@ (@ tptp.member235934813t_unit X3) (@ (@ tptp.image_904562809t_unit F2) A)) (@ P X3))) (forall ((X5 tptp.produc1821101996_sc_sz)) (=> (@ (@ tptp.member1057565379_sc_sz X5) A) (@ P (@ F2 X5)))))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc190496183real_c tptp.produc1821101996_sc_sz)) (A tptp.set_Pr1389752855real_c) (P (-> tptp.produc1821101996_sc_sz Bool))) (=> (forall ((X3 tptp.produc1821101996_sc_sz)) (=> (@ (@ tptp.member1057565379_sc_sz X3) (@ (@ tptp.image_1259833374_sc_sz F2) A)) (@ P X3))) (forall ((X5 tptp.produc190496183real_c)) (=> (@ (@ tptp.member1895684704real_c X5) A) (@ P (@ F2 X5)))))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc190496183real_c tptp.produc190496183real_c)) (A tptp.set_Pr1389752855real_c) (P (-> tptp.produc190496183real_c Bool))) (=> (forall ((X3 tptp.produc190496183real_c)) (=> (@ (@ tptp.member1895684704real_c X3) (@ (@ tptp.image_738229701real_c F2) A)) (@ P X3))) (forall ((X5 tptp.produc190496183real_c)) (=> (@ (@ tptp.member1895684704real_c X5) A) (@ P (@ F2 X5)))))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc999471430t_unit tptp.produc1821101996_sc_sz)) (A tptp.set_Pr2041213564t_unit) (P (-> tptp.produc1821101996_sc_sz Bool))) (=> (forall ((X3 tptp.produc1821101996_sc_sz)) (=> (@ (@ tptp.member1057565379_sc_sz X3) (@ (@ tptp.image_1426741113_sc_sz F2) A)) (@ P X3))) (forall ((X5 tptp.produc999471430t_unit)) (=> (@ (@ tptp.member235934813t_unit X5) A) (@ P (@ F2 X5)))))))
% 0.56/0.75 (assert (forall ((M tptp.set_Pr1389752855real_c) (N tptp.set_Pr1389752855real_c) (F2 (-> tptp.produc190496183real_c tptp.produc1821101996_sc_sz)) (G (-> tptp.produc190496183real_c tptp.produc1821101996_sc_sz))) (=> (= M N) (=> (forall ((X3 tptp.produc190496183real_c)) (=> (@ (@ tptp.member1895684704real_c X3) N) (= (@ F2 X3) (@ G X3)))) (= (@ (@ tptp.image_1259833374_sc_sz F2) M) (@ (@ tptp.image_1259833374_sc_sz G) N))))))
% 0.56/0.75 (assert (forall ((M tptp.set_Pr1389752855real_c) (N tptp.set_Pr1389752855real_c) (F2 (-> tptp.produc190496183real_c tptp.produc190496183real_c)) (G (-> tptp.produc190496183real_c tptp.produc190496183real_c))) (=> (= M N) (=> (forall ((X3 tptp.produc190496183real_c)) (=> (@ (@ tptp.member1895684704real_c X3) N) (= (@ F2 X3) (@ G X3)))) (= (@ (@ tptp.image_738229701real_c F2) M) (@ (@ tptp.image_738229701real_c G) N))))))
% 0.56/0.75 (assert (forall ((M tptp.set_Pr1169339874_sc_sz) (N tptp.set_Pr1169339874_sc_sz) (F2 (-> tptp.produc1821101996_sc_sz tptp.produc190496183real_c)) (G (-> tptp.produc1821101996_sc_sz tptp.produc190496183real_c))) (=> (= M N) (=> (forall ((X3 tptp.produc1821101996_sc_sz)) (=> (@ (@ tptp.member1057565379_sc_sz X3) N) (= (@ F2 X3) (@ G X3)))) (= (@ (@ tptp.image_386905412real_c F2) M) (@ (@ tptp.image_386905412real_c G) N))))))
% 0.56/0.75 (assert (forall ((M tptp.set_Pr1169339874_sc_sz) (N tptp.set_Pr1169339874_sc_sz) (F2 (-> tptp.produc1821101996_sc_sz tptp.produc999471430t_unit)) (G (-> tptp.produc1821101996_sc_sz tptp.produc999471430t_unit))) (=> (= M N) (=> (forall ((X3 tptp.produc1821101996_sc_sz)) (=> (@ (@ tptp.member1057565379_sc_sz X3) N) (= (@ F2 X3) (@ G X3)))) (= (@ (@ tptp.image_904562809t_unit F2) M) (@ (@ tptp.image_904562809t_unit G) N))))))
% 0.56/0.75 (assert (forall ((M tptp.set_Pr2041213564t_unit) (N tptp.set_Pr2041213564t_unit) (F2 (-> tptp.produc999471430t_unit tptp.produc1821101996_sc_sz)) (G (-> tptp.produc999471430t_unit tptp.produc1821101996_sc_sz))) (=> (= M N) (=> (forall ((X3 tptp.produc999471430t_unit)) (=> (@ (@ tptp.member235934813t_unit X3) N) (= (@ F2 X3) (@ G X3)))) (= (@ (@ tptp.image_1426741113_sc_sz F2) M) (@ (@ tptp.image_1426741113_sc_sz G) N))))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc1821101996_sc_sz tptp.produc190496183real_c)) (A tptp.set_Pr1169339874_sc_sz) (P (-> tptp.produc190496183real_c Bool))) (=> (exists ((X5 tptp.produc190496183real_c)) (and (@ (@ tptp.member1895684704real_c X5) (@ (@ tptp.image_386905412real_c F2) A)) (@ P X5))) (exists ((X3 tptp.produc1821101996_sc_sz)) (and (@ (@ tptp.member1057565379_sc_sz X3) A) (@ P (@ F2 X3)))))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc1821101996_sc_sz tptp.produc999471430t_unit)) (A tptp.set_Pr1169339874_sc_sz) (P (-> tptp.produc999471430t_unit Bool))) (=> (exists ((X5 tptp.produc999471430t_unit)) (and (@ (@ tptp.member235934813t_unit X5) (@ (@ tptp.image_904562809t_unit F2) A)) (@ P X5))) (exists ((X3 tptp.produc1821101996_sc_sz)) (and (@ (@ tptp.member1057565379_sc_sz X3) A) (@ P (@ F2 X3)))))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc190496183real_c tptp.produc1821101996_sc_sz)) (A tptp.set_Pr1389752855real_c) (P (-> tptp.produc1821101996_sc_sz Bool))) (=> (exists ((X5 tptp.produc1821101996_sc_sz)) (and (@ (@ tptp.member1057565379_sc_sz X5) (@ (@ tptp.image_1259833374_sc_sz F2) A)) (@ P X5))) (exists ((X3 tptp.produc190496183real_c)) (and (@ (@ tptp.member1895684704real_c X3) A) (@ P (@ F2 X3)))))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc190496183real_c tptp.produc190496183real_c)) (A tptp.set_Pr1389752855real_c) (P (-> tptp.produc190496183real_c Bool))) (=> (exists ((X5 tptp.produc190496183real_c)) (and (@ (@ tptp.member1895684704real_c X5) (@ (@ tptp.image_738229701real_c F2) A)) (@ P X5))) (exists ((X3 tptp.produc190496183real_c)) (and (@ (@ tptp.member1895684704real_c X3) A) (@ P (@ F2 X3)))))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc999471430t_unit tptp.produc1821101996_sc_sz)) (A tptp.set_Pr2041213564t_unit) (P (-> tptp.produc1821101996_sc_sz Bool))) (=> (exists ((X5 tptp.produc1821101996_sc_sz)) (and (@ (@ tptp.member1057565379_sc_sz X5) (@ (@ tptp.image_1426741113_sc_sz F2) A)) (@ P X5))) (exists ((X3 tptp.produc999471430t_unit)) (and (@ (@ tptp.member235934813t_unit X3) A) (@ P (@ F2 X3)))))))
% 0.56/0.75 (assert (forall ((Z tptp.produc190496183real_c) (F2 (-> tptp.produc1821101996_sc_sz tptp.produc190496183real_c)) (A tptp.set_Pr1169339874_sc_sz)) (= (@ (@ tptp.member1895684704real_c Z) (@ (@ tptp.image_386905412real_c F2) A)) (exists ((X4 tptp.produc1821101996_sc_sz)) (and (@ (@ tptp.member1057565379_sc_sz X4) A) (= Z (@ F2 X4)))))))
% 0.56/0.75 (assert (forall ((Z tptp.produc190496183real_c) (F2 (-> tptp.produc190496183real_c tptp.produc190496183real_c)) (A tptp.set_Pr1389752855real_c)) (= (@ (@ tptp.member1895684704real_c Z) (@ (@ tptp.image_738229701real_c F2) A)) (exists ((X4 tptp.produc190496183real_c)) (and (@ (@ tptp.member1895684704real_c X4) A) (= Z (@ F2 X4)))))))
% 0.56/0.75 (assert (forall ((Z tptp.produc1821101996_sc_sz) (F2 (-> tptp.produc190496183real_c tptp.produc1821101996_sc_sz)) (A tptp.set_Pr1389752855real_c)) (= (@ (@ tptp.member1057565379_sc_sz Z) (@ (@ tptp.image_1259833374_sc_sz F2) A)) (exists ((X4 tptp.produc190496183real_c)) (and (@ (@ tptp.member1895684704real_c X4) A) (= Z (@ F2 X4)))))))
% 0.56/0.75 (assert (forall ((Z tptp.produc1821101996_sc_sz) (F2 (-> tptp.produc999471430t_unit tptp.produc1821101996_sc_sz)) (A tptp.set_Pr2041213564t_unit)) (= (@ (@ tptp.member1057565379_sc_sz Z) (@ (@ tptp.image_1426741113_sc_sz F2) A)) (exists ((X4 tptp.produc999471430t_unit)) (and (@ (@ tptp.member235934813t_unit X4) A) (= Z (@ F2 X4)))))))
% 0.56/0.75 (assert (forall ((Z tptp.produc999471430t_unit) (F2 (-> tptp.produc1821101996_sc_sz tptp.produc999471430t_unit)) (A tptp.set_Pr1169339874_sc_sz)) (= (@ (@ tptp.member235934813t_unit Z) (@ (@ tptp.image_904562809t_unit F2) A)) (exists ((X4 tptp.produc1821101996_sc_sz)) (and (@ (@ tptp.member1057565379_sc_sz X4) A) (= Z (@ F2 X4)))))))
% 0.56/0.75 (assert (forall ((X tptp.produc866628903_sc_sz) (A tptp.set_Pr1774599175_sc_sz) (F2 (-> tptp.produc866628903_sc_sz tptp.produc190496183real_c))) (=> (@ (@ tptp.member245028432_sc_sz X) A) (@ (@ tptp.member1895684704real_c (@ F2 X)) (@ (@ tptp.image_1121381717real_c F2) A)))))
% 0.56/0.75 (assert (forall ((X tptp.produc866628903_sc_sz) (A tptp.set_Pr1774599175_sc_sz) (F2 (-> tptp.produc866628903_sc_sz tptp.finite1398487019real_c))) (=> (@ (@ tptp.member245028432_sc_sz X) A) (@ (@ tptp.member1261661570real_c (@ F2 X)) (@ (@ tptp.image_1332486093real_c F2) A)))))
% 0.56/0.75 (assert (forall ((X tptp.produc866628903_sc_sz) (A tptp.set_Pr1774599175_sc_sz) (F2 (-> tptp.produc866628903_sc_sz tptp.produc1821101996_sc_sz))) (=> (@ (@ tptp.member245028432_sc_sz X) A) (@ (@ tptp.member1057565379_sc_sz (@ F2 X)) (@ (@ tptp.image_226055310_sc_sz F2) A)))))
% 0.56/0.75 (assert (forall ((X tptp.produc866628903_sc_sz) (A tptp.set_Pr1774599175_sc_sz) (F2 (-> tptp.produc866628903_sc_sz tptp.produc640052711real_c))) (=> (@ (@ tptp.member245028432_sc_sz X) A) (@ (@ tptp.member346808080real_c (@ F2 X)) (@ (@ tptp.image_768765061real_c F2) A)))))
% 0.56/0.75 (assert (forall ((X tptp.produc866628903_sc_sz) (A tptp.set_Pr1774599175_sc_sz) (F2 (-> tptp.produc866628903_sc_sz tptp.produc999471430t_unit))) (=> (@ (@ tptp.member245028432_sc_sz X) A) (@ (@ tptp.member235934813t_unit (@ F2 X)) (@ (@ tptp.image_1551908392t_unit F2) A)))))
% 0.56/0.75 (assert (forall ((X tptp.produc866628903_sc_sz) (A tptp.set_Pr1774599175_sc_sz) (F2 (-> tptp.produc866628903_sc_sz tptp.produc866628903_sc_sz))) (=> (@ (@ tptp.member245028432_sc_sz X) A) (@ (@ tptp.member245028432_sc_sz (@ F2 X)) (@ (@ tptp.image_1313166277_sc_sz F2) A)))))
% 0.56/0.75 (assert (forall ((X tptp.produc190496183real_c) (A tptp.set_Pr1389752855real_c) (F2 (-> tptp.produc190496183real_c tptp.produc190496183real_c))) (=> (@ (@ tptp.member1895684704real_c X) A) (@ (@ tptp.member1895684704real_c (@ F2 X)) (@ (@ tptp.image_738229701real_c F2) A)))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.produc190496183real_c tptp.produc190496183real_c)) (A tptp.set_Pr1389752855real_c) (P (-> tptp.produc190496183real_c Bool))) (= (@ tptp.collec1643251106real_c (lambda ((X4 tptp.produc190496183real_c)) (and (@ (@ tptp.member1895684704real_c X4) (@ (@ tptp.image_738229701real_c F2) A)) (@ P X4)))) (@ (@ tptp.image_738229701real_c F2) (@ tptp.collec1643251106real_c (lambda ((X4 tptp.produc190496183real_c)) (and (@ (@ tptp.member1895684704real_c X4) A) (@ P (@ F2 X4)))))))))
% 0.56/0.75 (assert (forall ((B2 tptp.produc190496183real_c) (F2 (-> tptp.produc190496183real_c tptp.produc190496183real_c)) (A tptp.set_Pr1389752855real_c)) (=> (@ (@ tptp.member1895684704real_c B2) (@ (@ tptp.image_738229701real_c F2) A)) (not (forall ((X3 tptp.produc190496183real_c)) (=> (= B2 (@ F2 X3)) (not (@ (@ tptp.member1895684704real_c X3) A))))))))
% 0.56/0.75 (assert (forall ((P2 tptp.produc1821101996_sc_sz)) (= (@ (@ tptp.produc448466487_sc_sz tptp.produc789536734_sc_sz) P2) P2)))
% 0.56/0.75 (assert (forall ((R2 tptp.set_Pr1389752855real_c) (S4 tptp.set_Pr1389752855real_c)) (= (= (lambda ((X4 tptp.finite1398487019real_c) (Y4 tptp.finite1398487019real_c)) (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c X4) Y4)) R2)) (lambda ((X4 tptp.finite1398487019real_c) (Y4 tptp.finite1398487019real_c)) (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c X4) Y4)) S4))) (= R2 S4))))
% 0.56/0.75 (assert (forall ((R2 tptp.set_Pr1169339874_sc_sz) (S4 tptp.set_Pr1169339874_sc_sz)) (= (= (lambda ((X4 tptp.denota610675952t_unit) (Y4 tptp.produc866628903_sc_sz)) (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz X4) Y4)) R2)) (lambda ((X4 tptp.denota610675952t_unit) (Y4 tptp.produc866628903_sc_sz)) (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz X4) Y4)) S4))) (= R2 S4))))
% 0.56/0.75 (assert (forall ((A2 tptp.produc190496183real_c) (B2 tptp.produc190496183real_c) (A tptp.set_Pr1389752855real_c) (B (-> tptp.produc190496183real_c tptp.set_Pr1389752855real_c))) (= (@ (@ tptp.member346808080real_c (@ (@ tptp.produc1687028567real_c A2) B2)) (@ (@ tptp.produc1017530376real_c A) B)) (and (@ (@ tptp.member1895684704real_c A2) A) (@ (@ tptp.member1895684704real_c B2) (@ B A2))))))
% 0.56/0.75 (assert (forall ((A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c) (A tptp.set_Fi1407883041real_c) (B (-> tptp.finite1398487019real_c tptp.set_Fi1407883041real_c))) (= (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c A2) B2)) (@ (@ tptp.produc563345056real_c A) B)) (and (@ (@ tptp.member1261661570real_c A2) A) (@ (@ tptp.member1261661570real_c B2) (@ B A2))))))
% 0.56/0.75 (assert (forall ((A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz) (A tptp.set_De208295462t_unit) (B (-> tptp.denota610675952t_unit tptp.set_Pr1774599175_sc_sz))) (= (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz A2) B2)) (@ (@ tptp.produc159603053_sc_sz A) B)) (and (@ (@ tptp.member754147591t_unit A2) A) (@ (@ tptp.member245028432_sc_sz B2) (@ B A2))))))
% 0.56/0.75 (assert (forall ((A2 tptp.finite1398487019real_c) (A tptp.set_Fi1407883041real_c) (B2 tptp.finite1398487019real_c) (B (-> tptp.finite1398487019real_c tptp.set_Fi1407883041real_c))) (=> (@ (@ tptp.member1261661570real_c A2) A) (=> (@ (@ tptp.member1261661570real_c B2) (@ B A2)) (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c A2) B2)) (@ (@ tptp.produc563345056real_c A) B))))))
% 0.56/0.75 (assert (forall ((A2 tptp.produc190496183real_c) (A tptp.set_Pr1389752855real_c) (B2 tptp.produc190496183real_c) (B (-> tptp.produc190496183real_c tptp.set_Pr1389752855real_c))) (=> (@ (@ tptp.member1895684704real_c A2) A) (=> (@ (@ tptp.member1895684704real_c B2) (@ B A2)) (@ (@ tptp.member346808080real_c (@ (@ tptp.produc1687028567real_c A2) B2)) (@ (@ tptp.produc1017530376real_c A) B))))))
% 0.56/0.75 (assert (forall ((A2 tptp.denota610675952t_unit) (A tptp.set_De208295462t_unit) (B2 tptp.produc866628903_sc_sz) (B (-> tptp.denota610675952t_unit tptp.set_Pr1774599175_sc_sz))) (=> (@ (@ tptp.member754147591t_unit A2) A) (=> (@ (@ tptp.member245028432_sc_sz B2) (@ B A2)) (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz A2) B2)) (@ (@ tptp.produc159603053_sc_sz A) B))))))
% 0.56/0.75 (assert (forall ((A2 tptp.produc190496183real_c) (B2 tptp.produc190496183real_c) (A tptp.set_Pr1389752855real_c) (B (-> tptp.produc190496183real_c tptp.set_Pr1389752855real_c))) (=> (@ (@ tptp.member346808080real_c (@ (@ tptp.produc1687028567real_c A2) B2)) (@ (@ tptp.produc1017530376real_c A) B)) (not (=> (@ (@ tptp.member1895684704real_c A2) A) (not (@ (@ tptp.member1895684704real_c B2) (@ B A2))))))))
% 0.56/0.75 (assert (forall ((A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c) (A tptp.set_Fi1407883041real_c) (B (-> tptp.finite1398487019real_c tptp.set_Fi1407883041real_c))) (=> (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c A2) B2)) (@ (@ tptp.produc563345056real_c A) B)) (not (=> (@ (@ tptp.member1261661570real_c A2) A) (not (@ (@ tptp.member1261661570real_c B2) (@ B A2))))))))
% 0.56/0.75 (assert (forall ((A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz) (A tptp.set_De208295462t_unit) (B (-> tptp.denota610675952t_unit tptp.set_Pr1774599175_sc_sz))) (=> (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz A2) B2)) (@ (@ tptp.produc159603053_sc_sz A) B)) (not (=> (@ (@ tptp.member754147591t_unit A2) A) (not (@ (@ tptp.member245028432_sc_sz B2) (@ B A2))))))))
% 0.56/0.75 (assert (forall ((A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c) (A tptp.set_Fi1407883041real_c) (B (-> tptp.finite1398487019real_c tptp.set_Fi1407883041real_c))) (=> (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c A2) B2)) (@ (@ tptp.produc563345056real_c A) B)) (@ (@ tptp.member1261661570real_c B2) (@ B A2)))))
% 0.56/0.75 (assert (forall ((A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz) (A tptp.set_De208295462t_unit) (B (-> tptp.denota610675952t_unit tptp.set_Pr1774599175_sc_sz))) (=> (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz A2) B2)) (@ (@ tptp.produc159603053_sc_sz A) B)) (@ (@ tptp.member245028432_sc_sz B2) (@ B A2)))))
% 0.56/0.75 (assert (forall ((A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c) (A tptp.set_Fi1407883041real_c) (B (-> tptp.finite1398487019real_c tptp.set_Fi1407883041real_c))) (=> (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c A2) B2)) (@ (@ tptp.produc563345056real_c A) B)) (@ (@ tptp.member1261661570real_c A2) A))))
% 0.56/0.75 (assert (forall ((A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz) (A tptp.set_De208295462t_unit) (B (-> tptp.denota610675952t_unit tptp.set_Pr1774599175_sc_sz))) (=> (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz A2) B2)) (@ (@ tptp.produc159603053_sc_sz A) B)) (@ (@ tptp.member754147591t_unit A2) A))))
% 0.56/0.75 (assert (forall ((C2 tptp.produc640052711real_c) (A tptp.set_Pr1389752855real_c) (B (-> tptp.produc190496183real_c tptp.set_Pr1389752855real_c))) (=> (@ (@ tptp.member346808080real_c C2) (@ (@ tptp.produc1017530376real_c A) B)) (not (forall ((X3 tptp.produc190496183real_c)) (=> (@ (@ tptp.member1895684704real_c X3) A) (forall ((Y3 tptp.produc190496183real_c)) (=> (@ (@ tptp.member1895684704real_c Y3) (@ B X3)) (not (= C2 (@ (@ tptp.produc1687028567real_c X3) Y3)))))))))))
% 0.56/0.75 (assert (forall ((C2 tptp.produc190496183real_c) (A tptp.set_Fi1407883041real_c) (B (-> tptp.finite1398487019real_c tptp.set_Fi1407883041real_c))) (=> (@ (@ tptp.member1895684704real_c C2) (@ (@ tptp.produc563345056real_c A) B)) (not (forall ((X3 tptp.finite1398487019real_c)) (=> (@ (@ tptp.member1261661570real_c X3) A) (forall ((Y3 tptp.finite1398487019real_c)) (=> (@ (@ tptp.member1261661570real_c Y3) (@ B X3)) (not (= C2 (@ (@ tptp.produc394644079real_c X3) Y3)))))))))))
% 0.56/0.75 (assert (forall ((C2 tptp.produc1821101996_sc_sz) (A tptp.set_De208295462t_unit) (B (-> tptp.denota610675952t_unit tptp.set_Pr1774599175_sc_sz))) (=> (@ (@ tptp.member1057565379_sc_sz C2) (@ (@ tptp.produc159603053_sc_sz A) B)) (not (forall ((X3 tptp.denota610675952t_unit)) (=> (@ (@ tptp.member754147591t_unit X3) A) (forall ((Y3 tptp.produc866628903_sc_sz)) (=> (@ (@ tptp.member245028432_sc_sz Y3) (@ B X3)) (not (= C2 (@ (@ tptp.produc789536734_sc_sz X3) Y3)))))))))))
% 0.56/0.75 (assert (forall ((A tptp.set_Pr1774599175_sc_sz) (B tptp.set_De208295462t_unit)) (= (@ (@ tptp.image_1426741113_sc_sz (@ tptp.produc435149849_sc_sz (lambda ((I4 tptp.produc866628903_sc_sz) (J2 tptp.denota610675952t_unit)) (@ (@ tptp.produc789536734_sc_sz J2) I4)))) (@ (@ tptp.produc2020166735t_unit A) (lambda ((Uu tptp.produc866628903_sc_sz)) B))) (@ (@ tptp.produc159603053_sc_sz B) (lambda ((Uu tptp.denota610675952t_unit)) A)))))
% 0.56/0.75 (assert (forall ((X tptp.produc190496183real_c) (A tptp.set_Fi1407883041real_c) (B tptp.set_Fi1407883041real_c)) (let ((_let_1 (@ tptp.member1895684704real_c X))) (= (@ _let_1 (@ (@ tptp.produc3751594real_c A) B)) (@ _let_1 (@ (@ tptp.produc563345056real_c A) (lambda ((Uu tptp.finite1398487019real_c)) B)))))))
% 0.56/0.75 (assert (forall ((F2 (-> tptp.denota610675952t_unit tptp.denota610675952t_unit)) (G (-> tptp.produc866628903_sc_sz tptp.produc866628903_sc_sz)) (A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz)) (= (@ (@ (@ tptp.produc403791768_sc_sz F2) G) (@ (@ tptp.produc789536734_sc_sz A2) B2)) (@ (@ tptp.produc789536734_sc_sz (@ F2 A2)) (@ G B2)))))
% 0.56/0.75 (assert (forall ((X tptp.finite1398487019real_c) (Y tptp.finite1398487019real_c) (R tptp.set_Pr1389752855real_c) (F2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c))) (= (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c X) Y)) (@ (@ tptp.inv_im1827249322real_c R) F2)) (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c (@ F2 X)) (@ F2 Y))) R))))
% 0.56/0.75 (assert (forall ((A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c) (R2 tptp.set_Pr1389752855real_c) (F2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c)) (G (-> tptp.finite1398487019real_c tptp.finite1398487019real_c))) (=> (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c A2) B2)) R2) (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c (@ F2 A2)) (@ G B2))) (@ (@ tptp.image_738229701real_c (@ (@ tptp.produc368345510real_c F2) G)) R2)))))
% 0.56/0.75 (assert (forall ((A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c) (R2 tptp.set_Pr1389752855real_c) (F2 (-> tptp.finite1398487019real_c tptp.denota610675952t_unit)) (G (-> tptp.finite1398487019real_c tptp.produc866628903_sc_sz))) (=> (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c A2) B2)) R2) (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz (@ F2 A2)) (@ G B2))) (@ (@ tptp.image_1259833374_sc_sz (@ (@ tptp.produc1784590311_sc_sz F2) G)) R2)))))
% 0.56/0.75 (assert (forall ((A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz) (R2 tptp.set_Pr1169339874_sc_sz) (F2 (-> tptp.denota610675952t_unit tptp.finite1398487019real_c)) (G (-> tptp.produc866628903_sc_sz tptp.finite1398487019real_c))) (=> (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz A2) B2)) R2) (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c (@ F2 A2)) (@ G B2))) (@ (@ tptp.image_386905412real_c (@ (@ tptp.produc1612557567real_c F2) G)) R2)))))
% 0.56/0.75 (assert (forall ((A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz) (R2 tptp.set_Pr1169339874_sc_sz) (F2 (-> tptp.denota610675952t_unit tptp.denota610675952t_unit)) (G (-> tptp.produc866628903_sc_sz tptp.produc866628903_sc_sz))) (=> (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz A2) B2)) R2) (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz (@ F2 A2)) (@ G B2))) (@ (@ tptp.image_1726193375_sc_sz (@ (@ tptp.produc403791768_sc_sz F2) G)) R2)))))
% 0.56/0.75 (assert (forall ((C2 tptp.produc190496183real_c) (F2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c)) (G (-> tptp.finite1398487019real_c tptp.finite1398487019real_c)) (R2 tptp.set_Pr1389752855real_c)) (=> (@ (@ tptp.member1895684704real_c C2) (@ (@ tptp.image_738229701real_c (@ (@ tptp.produc368345510real_c F2) G)) R2)) (not (forall ((X3 tptp.finite1398487019real_c) (Y3 tptp.finite1398487019real_c)) (=> (= C2 (@ (@ tptp.produc394644079real_c (@ F2 X3)) (@ G Y3))) (not (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c X3) Y3)) R2))))))))
% 0.56/0.75 (assert (forall ((C2 tptp.produc190496183real_c) (F2 (-> tptp.denota610675952t_unit tptp.finite1398487019real_c)) (G (-> tptp.produc866628903_sc_sz tptp.finite1398487019real_c)) (R2 tptp.set_Pr1169339874_sc_sz)) (=> (@ (@ tptp.member1895684704real_c C2) (@ (@ tptp.image_386905412real_c (@ (@ tptp.produc1612557567real_c F2) G)) R2)) (not (forall ((X3 tptp.denota610675952t_unit) (Y3 tptp.produc866628903_sc_sz)) (=> (= C2 (@ (@ tptp.produc394644079real_c (@ F2 X3)) (@ G Y3))) (not (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz X3) Y3)) R2))))))))
% 0.57/1.10 (assert (forall ((C2 tptp.produc1821101996_sc_sz) (F2 (-> tptp.finite1398487019real_c tptp.denota610675952t_unit)) (G (-> tptp.finite1398487019real_c tptp.produc866628903_sc_sz)) (R2 tptp.set_Pr1389752855real_c)) (=> (@ (@ tptp.member1057565379_sc_sz C2) (@ (@ tptp.image_1259833374_sc_sz (@ (@ tptp.produc1784590311_sc_sz F2) G)) R2)) (not (forall ((X3 tptp.finite1398487019real_c) (Y3 tptp.finite1398487019real_c)) (=> (= C2 (@ (@ tptp.produc789536734_sc_sz (@ F2 X3)) (@ G Y3))) (not (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c X3) Y3)) R2))))))))
% 0.57/1.10 (assert (forall ((C2 tptp.produc1821101996_sc_sz) (F2 (-> tptp.denota610675952t_unit tptp.denota610675952t_unit)) (G (-> tptp.produc866628903_sc_sz tptp.produc866628903_sc_sz)) (R2 tptp.set_Pr1169339874_sc_sz)) (=> (@ (@ tptp.member1057565379_sc_sz C2) (@ (@ tptp.image_1726193375_sc_sz (@ (@ tptp.produc403791768_sc_sz F2) G)) R2)) (not (forall ((X3 tptp.denota610675952t_unit) (Y3 tptp.produc866628903_sc_sz)) (=> (= C2 (@ (@ tptp.produc789536734_sc_sz (@ F2 X3)) (@ G Y3))) (not (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz X3) Y3)) R2))))))))
% 0.57/1.10 (assert (forall ((A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c) (C2 tptp.finite1398487019real_c) (D tptp.finite1398487019real_c)) (=> (@ (@ (@ tptp.denota1997846518gree_c (@ (@ tptp.produc394644079real_c A2) B2)) (@ (@ tptp.produc394644079real_c C2) D)) tptp.top_to1660572043um_c_c) (and (= A2 C2) (= B2 D)))))
% 0.57/1.10 (assert (forall ((Nu3 tptp.produc190496183real_c) (Omega tptp.produc190496183real_c)) (=> (@ (@ (@ tptp.denota1997846518gree_c Nu3) Omega) tptp.top_to1660572043um_c_c) (= Nu3 Omega))))
% 0.57/1.10 (assert (= tptp.top_to964419200al_c_o (lambda ((X4 tptp.finite1398487019real_c) (Y4 tptp.finite1398487019real_c)) (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c X4) Y4)) tptp.top_to226056039real_c))))
% 0.57/1.10 (assert (= tptp.top_to1399053141c_sz_o (lambda ((X4 tptp.denota610675952t_unit) (Y4 tptp.produc866628903_sc_sz)) (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz X4) Y4)) tptp.top_to1499569298_sc_sz))))
% 0.57/1.10 (assert (forall ((X1 tptp.denota610675952t_unit) (X2 tptp.produc866628903_sc_sz)) (= (@ tptp.produc1503602930_sc_sz (@ (@ tptp.produc789536734_sc_sz X1) X2)) X1)))
% 0.57/1.10 (assert (forall ((X tptp.denota610675952t_unit) (Y tptp.produc866628903_sc_sz) (A2 tptp.denota610675952t_unit)) (=> (= (@ tptp.produc1503602930_sc_sz (@ (@ tptp.produc789536734_sc_sz X) Y)) A2) (= X A2))))
% 0.57/1.10 (assert (not (= (forall ((Nu tptp.produc190496183real_c) (Nu2 tptp.produc190496183real_c) (I tptp.denota231621370t_unit) (J tptp.denota231621370t_unit)) (=> (@ (@ (@ tptp.denota69106024_a_b_c I) J) (@ tptp.static_SIGF_a_b_c tptp.phi)) (=> (@ (@ (@ tptp.denota1997846518gree_c Nu) Nu2) (@ tptp.static_FVF_a_b_c tptp.phi)) (= (@ (@ tptp.member1895684704real_c Nu) (@ (@ tptp.denota968303861_a_b_c I) tptp.phi)) (@ (@ tptp.member1895684704real_c Nu2) (@ (@ tptp.denota968303861_a_b_c J) tptp.phi)))))) (forall ((Nu tptp.produc190496183real_c) (Nu2 tptp.produc190496183real_c) (I tptp.denota231621370t_unit) (J tptp.denota231621370t_unit)) (=> (@ (@ (@ tptp.denota69106024_a_b_c I) J) (@ tptp.static_SIGF_a_b_c tptp.phi)) (=> (@ (@ (@ tptp.denota1997846518gree_c Nu) Nu2) (@ tptp.static_FVF_a_b_c tptp.phi)) (= (@ (@ tptp.member1895684704real_c Nu) (@ (@ tptp.denota968303861_a_b_c I) tptp.phi)) (@ (@ tptp.member1895684704real_c Nu2) (@ (@ tptp.denota968303861_a_b_c J) tptp.phi)))))))))
% 0.57/1.10 (set-info :filename cvc5---1.0.5_30491)
% 0.57/1.10 (check-sat-assuming ( true ))
% 0.57/1.10 ------- get file name : TPTP file name is ITP039^1
% 0.57/1.10 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30491.smt2...
% 0.57/1.10 --- Run --ho-elim --full-saturate-quant at 10...
% 0.57/1.10 % SZS status Theorem for ITP039^1
% 0.57/1.10 % SZS output start Proof for ITP039^1
% 0.57/1.10 (
% 0.57/1.10 (let ((_let_1 (not (= (forall ((Nu tptp.produc190496183real_c) (Nu2 tptp.produc190496183real_c) (I tptp.denota231621370t_unit) (J tptp.denota231621370t_unit)) (=> (@ (@ (@ tptp.denota69106024_a_b_c I) J) (@ tptp.static_SIGF_a_b_c tptp.phi)) (=> (@ (@ (@ tptp.denota1997846518gree_c Nu) Nu2) (@ tptp.static_FVF_a_b_c tptp.phi)) (= (@ (@ tptp.member1895684704real_c Nu) (@ (@ tptp.denota968303861_a_b_c I) tptp.phi)) (@ (@ tptp.member1895684704real_c Nu2) (@ (@ tptp.denota968303861_a_b_c J) tptp.phi)))))) (forall ((Nu tptp.produc190496183real_c) (Nu2 tptp.produc190496183real_c) (I tptp.denota231621370t_unit) (J tptp.denota231621370t_unit)) (=> (@ (@ (@ tptp.denota69106024_a_b_c I) J) (@ tptp.static_SIGF_a_b_c tptp.phi)) (=> (@ (@ (@ tptp.denota1997846518gree_c Nu) Nu2) (@ tptp.static_FVF_a_b_c tptp.phi)) (= (@ (@ tptp.member1895684704real_c Nu) (@ (@ tptp.denota968303861_a_b_c I) tptp.phi)) (@ (@ tptp.member1895684704real_c Nu2) (@ (@ tptp.denota968303861_a_b_c J) tptp.phi)))))))))) (let ((_let_2 (forall ((Nu tptp.produc190496183real_c) (Nu2 tptp.produc190496183real_c) (I tptp.denota231621370t_unit) (J tptp.denota231621370t_unit)) (or (not (ho_233 (ho_232 (ho_231 k_230 I) J) (ho_229 k_228 tptp.phi))) (not (ho_227 (ho_226 (ho_225 k_224 Nu) Nu2) (ho_223 k_222 tptp.phi))) (= (ho_84 (ho_83 k_82 Nu2) (ho_221 (ho_220 k_219 J) tptp.phi)) (ho_84 (ho_83 k_82 Nu) (ho_221 (ho_220 k_219 I) tptp.phi))))))) (let ((_let_3 (forall ((Nu tptp.produc190496183real_c) (Nu2 tptp.produc190496183real_c) (I tptp.denota231621370t_unit) (J tptp.denota231621370t_unit)) (or (not (ho_233 (ho_232 (ho_231 k_230 I) J) (ho_229 k_228 tptp.phi))) (not (ho_227 (ho_226 (ho_225 k_224 Nu) Nu2) (ho_223 k_222 tptp.phi))) (= (ho_84 (ho_83 k_82 Nu2) (ho_221 (ho_220 k_219 J) tptp.phi)) (ho_84 (ho_83 k_82 Nu) (ho_221 (ho_220 k_219 I) tptp.phi))))))) (let ((_let_4 (not _let_2))) (let ((_let_5 (ALPHA_EQUIV :args (_let_2 (= Nu Nu) (= Nu2 Nu2) (= I I) (= J J))))) (let ((_let_6 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (= (forall ((Nu tptp.produc190496183real_c) (Nu2 tptp.produc190496183real_c) (I tptp.denota231621370t_unit) (J tptp.denota231621370t_unit)) (or (not (@ (@ (@ tptp.denota69106024_a_b_c I) J) (@ tptp.static_SIGF_a_b_c tptp.phi))) (not (@ (@ (@ tptp.denota1997846518gree_c Nu) Nu2) (@ tptp.static_FVF_a_b_c tptp.phi))) (= (@ (@ tptp.member1895684704real_c Nu) (@ (@ tptp.denota968303861_a_b_c I) tptp.phi)) (@ (@ tptp.member1895684704real_c Nu2) (@ (@ tptp.denota968303861_a_b_c J) tptp.phi))))) (forall ((Nu tptp.produc190496183real_c) (Nu2 tptp.produc190496183real_c) (I tptp.denota231621370t_unit) (J tptp.denota231621370t_unit)) (or (not (@ (@ (@ tptp.denota69106024_a_b_c I) J) (@ tptp.static_SIGF_a_b_c tptp.phi))) (not (@ (@ (@ tptp.denota1997846518gree_c Nu) Nu2) (@ tptp.static_FVF_a_b_c tptp.phi))) (= (@ (@ tptp.member1895684704real_c Nu) (@ (@ tptp.denota968303861_a_b_c I) tptp.phi)) (@ (@ tptp.member1895684704real_c Nu2) (@ (@ tptp.denota968303861_a_b_c J) tptp.phi))))))) (not (= _let_2 _let_3))))))))) (let ((_let_7 (MACRO_RESOLUTION_TRUST (NOT_EQUIV_ELIM2 _let_6) (REORDERING (EQUIV_ELIM1 _let_5) :args ((or _let_3 _let_4))) :args (_let_4 false _let_3)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (NOT_EQUIV_ELIM1 _let_6) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 _let_5) _let_7 :args ((not _let_3) true _let_2)) _let_7 :args (false true _let_3 true _let_2)) :args ((= tptp.coinci501627771_a_b_c (lambda ((Phi tptp.formula_a_b_c)) (forall ((Nu tptp.produc190496183real_c) (Nu2 tptp.produc190496183real_c) (I tptp.denota231621370t_unit) (J tptp.denota231621370t_unit)) (=> (@ (@ (@ tptp.denota69106024_a_b_c I) J) (@ tptp.static_SIGF_a_b_c Phi)) (=> (@ (@ (@ tptp.denota1997846518gree_c Nu) Nu2) (@ tptp.static_FVF_a_b_c Phi)) (= (@ (@ tptp.member1895684704real_c Nu) (@ (@ tptp.denota968303861_a_b_c I) Phi)) (@ (@ tptp.member1895684704real_c Nu2) (@ (@ tptp.denota968303861_a_b_c J) Phi)))))))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc) (Phi2 tptp.formula_a_b_c)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (= (@ tptp.coinci501627771_a_b_c Phi2) (forall ((Nu tptp.produc190496183real_c) (Nu2 tptp.produc190496183real_c) (I tptp.denota231621370t_unit) (J tptp.denota231621370t_unit)) (=> (@ (@ (@ tptp.denota69106024_a_b_c I) J) (@ tptp.static_SIGF_a_b_c Phi2)) (=> (@ (@ (@ tptp.denota1997846518gree_c Nu) Nu2) (@ tptp.static_FVF_a_b_c Phi2)) (= (@ (@ tptp.member1895684704real_c Nu) (@ (@ tptp.denota968303861_a_b_c I) Phi2)) (@ (@ tptp.member1895684704real_c Nu2) (@ (@ tptp.denota968303861_a_b_c J) Phi2))))))))) (forall ((A tptp.denota231621370t_unit) (B tptp.denota231621370t_unit) (V tptp.set_Su1783761653um_b_c)) (=> (@ (@ (@ tptp.denota69106024_a_b_c A) B) V) (@ (@ (@ tptp.denota69106024_a_b_c B) A) V))) (forall ((I2 tptp.denota231621370t_unit) (A tptp.set_Su1783761653um_b_c)) (@ (@ (@ tptp.denota69106024_a_b_c I2) I2) A)) (forall ((A tptp.produc190496183real_c) (B tptp.produc190496183real_c) (V tptp.set_Sum_sum_c_c)) (=> (@ (@ (@ tptp.denota1997846518gree_c A) B) V) (@ (@ (@ tptp.denota1997846518gree_c B) A) V))) (forall ((Nu3 tptp.produc190496183real_c) (A tptp.set_Sum_sum_c_c)) (@ (@ (@ tptp.denota1997846518gree_c Nu3) Nu3) A)) (forall ((Nu3 tptp.produc190496183real_c) (I2 tptp.denota231621370t_unit) (A tptp.formula_a_b_c) (B tptp.formula_a_b_c)) (let ((_let_1 (@ tptp.denota968303861_a_b_c I2))) (let ((_let_2 (@ tptp.member1895684704real_c Nu3))) (let ((_let_3 (@ _let_2 (@ _let_1 A)))) (let ((_let_4 (@ _let_2 (@ _let_1 B)))) (= (= _let_3 _let_4) (and (=> _let_3 _let_4) (=> _let_4 _let_3)))))))) (forall ((Nu3 tptp.produc190496183real_c) (I2 tptp.denota231621370t_unit) (A tptp.formula_a_b_c) (B tptp.formula_a_b_c)) (let ((_let_1 (@ tptp.denota968303861_a_b_c I2))) (let ((_let_2 (@ tptp.member1895684704real_c Nu3))) (= (@ _let_2 (@ _let_1 (@ (@ tptp.equiv_a_b_c A) B))) (= (@ _let_2 (@ _let_1 A)) (@ _let_2 (@ _let_1 B))))))) (forall ((Nu3 tptp.produc190496183real_c) (I2 tptp.denota231621370t_unit) (A tptp.formula_a_b_c) (B tptp.formula_a_b_c)) (let ((_let_1 (@ tptp.denota968303861_a_b_c I2))) (let ((_let_2 (@ tptp.member1895684704real_c Nu3))) (= (@ _let_2 (@ _let_1 (@ (@ tptp.implies_a_b_c A) B))) (=> (@ _let_2 (@ _let_1 A)) (@ _let_2 (@ _let_1 B))))))) (= tptp.p_sc_sf_sz tptp.predic913887884_sf_sz) (forall ((X tptp.produc1821101996_sc_sz)) (not (forall ((I3 tptp.denota610675952t_unit) (S tptp.produc866628903_sc_sz)) (not (= X (@ (@ tptp.produc789536734_sc_sz I3) S)))))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc) (X tptp.produc1821101996_sc_sz)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc 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(= (@ tptp.p_sc_sf_sz P2) (@ tptp.predic913887884_sf_sz P2)))) (forall ((X1 tptp.list_f1238882004_sc_sz) (X2 tptp.list_f1238882004_sc_sz) (Y1 tptp.list_f1238882004_sc_sz) (Y2 tptp.list_f1238882004_sc_sz)) (= (= (@ (@ tptp.produc1822718231_sc_sz X1) X2) (@ (@ tptp.produc1822718231_sc_sz Y1) Y2)) (and (= X1 Y1) (= X2 Y2)))) (forall ((X1 tptp.finite1398487019real_c) (X2 tptp.finite1398487019real_c) (Y1 tptp.finite1398487019real_c) (Y2 tptp.finite1398487019real_c)) (= (= (@ (@ tptp.produc394644079real_c X1) X2) (@ (@ tptp.produc394644079real_c Y1) Y2)) (and (= X1 Y1) (= X2 Y2)))) (forall ((X1 tptp.produc866628903_sc_sz) (X2 tptp.denota610675952t_unit) (Y1 tptp.produc866628903_sc_sz) (Y2 tptp.denota610675952t_unit)) (= (= (@ (@ tptp.produc502616768t_unit X1) X2) (@ (@ tptp.produc502616768t_unit Y1) Y2)) (and (= X1 Y1) (= X2 Y2)))) (forall ((X1 tptp.produc190496183real_c) (X2 tptp.produc190496183real_c) (Y1 tptp.produc190496183real_c) (Y2 tptp.produc190496183real_c)) (= (= (@ (@ 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((Y tptp.produc1821101996_sc_sz)) (not (forall ((A4 tptp.denota610675952t_unit) (B4 tptp.produc866628903_sc_sz)) (not (= Y (@ (@ tptp.produc789536734_sc_sz A4) B4)))))) (forall ((A2 tptp.list_f1238882004_sc_sz) (B2 tptp.list_f1238882004_sc_sz) (A3 tptp.list_f1238882004_sc_sz) (B3 tptp.list_f1238882004_sc_sz)) (=> (= (@ (@ tptp.produc1822718231_sc_sz A2) B2) (@ (@ tptp.produc1822718231_sc_sz A3) B3)) (not (=> (= A2 A3) (not (= B2 B3)))))) (forall ((A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c) (A3 tptp.finite1398487019real_c) (B3 tptp.finite1398487019real_c)) (=> (= (@ (@ tptp.produc394644079real_c A2) B2) (@ (@ tptp.produc394644079real_c A3) B3)) (not (=> (= A2 A3) (not (= B2 B3)))))) (forall ((A2 tptp.produc866628903_sc_sz) (B2 tptp.denota610675952t_unit) (A3 tptp.produc866628903_sc_sz) (B3 tptp.denota610675952t_unit)) (=> (= (@ (@ tptp.produc502616768t_unit A2) B2) (@ (@ tptp.produc502616768t_unit A3) B3)) (not (=> (= A2 A3) (not (= B2 B3)))))) (forall ((A2 tptp.produc190496183real_c) (B2 tptp.produc190496183real_c) (A3 tptp.produc190496183real_c) (B3 tptp.produc190496183real_c)) (=> (= (@ (@ tptp.produc1687028567real_c A2) B2) (@ (@ tptp.produc1687028567real_c A3) B3)) (not (=> (= A2 A3) (not (= B2 B3)))))) (forall ((A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz) (A3 tptp.denota610675952t_unit) (B3 tptp.produc866628903_sc_sz)) (=> (= (@ (@ tptp.produc789536734_sc_sz A2) B2) (@ (@ tptp.produc789536734_sc_sz A3) B3)) (not (=> (= A2 A3) (not (= B2 B3)))))) (forall ((P (-> tptp.produc866628903_sc_sz Bool)) (P2 tptp.produc866628903_sc_sz)) (=> (forall ((A4 tptp.list_f1238882004_sc_sz) (B4 tptp.list_f1238882004_sc_sz)) (@ P (@ (@ tptp.produc1822718231_sc_sz A4) B4))) (@ P P2))) (forall ((P (-> tptp.produc190496183real_c Bool)) (P2 tptp.produc190496183real_c)) (=> (forall ((A4 tptp.finite1398487019real_c) (B4 tptp.finite1398487019real_c)) (@ P (@ (@ tptp.produc394644079real_c A4) B4))) (@ P P2))) (forall ((P (-> tptp.produc999471430t_unit Bool)) (P2 tptp.produc999471430t_unit)) (=> (forall ((A4 tptp.produc866628903_sc_sz) (B4 tptp.denota610675952t_unit)) (@ P (@ (@ tptp.produc502616768t_unit A4) B4))) (@ P P2))) (forall ((P (-> tptp.produc640052711real_c Bool)) (P2 tptp.produc640052711real_c)) (=> (forall ((A4 tptp.produc190496183real_c) (B4 tptp.produc190496183real_c)) (@ P (@ (@ tptp.produc1687028567real_c A4) B4))) (@ P P2))) (forall ((P (-> tptp.produc1821101996_sc_sz Bool)) (P2 tptp.produc1821101996_sc_sz)) (=> (forall ((A4 tptp.denota610675952t_unit) (B4 tptp.produc866628903_sc_sz)) (@ P (@ (@ tptp.produc789536734_sc_sz A4) B4))) (@ P P2))) (forall ((P2 tptp.produc866628903_sc_sz)) (exists ((X3 tptp.list_f1238882004_sc_sz) (Y3 tptp.list_f1238882004_sc_sz)) (= P2 (@ (@ tptp.produc1822718231_sc_sz X3) Y3)))) (forall ((P2 tptp.produc190496183real_c)) (exists ((X3 tptp.finite1398487019real_c) (Y3 tptp.finite1398487019real_c)) (= P2 (@ (@ tptp.produc394644079real_c X3) Y3)))) (forall ((P2 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tptp.produc190496183real_c Bool))) (= (@ (@ tptp.member1895684704real_c A2) (@ tptp.collec1643251106real_c P)) (@ P A2))) (forall ((A tptp.set_Fi1407883041real_c)) (= (@ tptp.collec230941376real_c (lambda ((X4 tptp.finite1398487019real_c)) (@ (@ tptp.member1261661570real_c X4) A))) A)) (forall ((A tptp.set_Pr1169339874_sc_sz)) (= (@ tptp.collec1199592193_sc_sz (lambda ((X4 tptp.produc1821101996_sc_sz)) (@ (@ tptp.member1057565379_sc_sz X4) A))) A)) (forall ((A tptp.set_Pr754230471real_c)) (= (@ tptp.collec1126017874real_c (lambda ((X4 tptp.produc640052711real_c)) (@ (@ tptp.member346808080real_c X4) A))) A)) (forall ((A tptp.set_Pr2041213564t_unit)) (= (@ tptp.collec377961627t_unit (lambda ((X4 tptp.produc999471430t_unit)) (@ (@ tptp.member235934813t_unit X4) A))) A)) (forall ((A tptp.set_Pr1774599175_sc_sz)) (= (@ tptp.collec2036662930_sc_sz (lambda ((X4 tptp.produc866628903_sc_sz)) (@ (@ tptp.member245028432_sc_sz X4) A))) A)) (forall ((A tptp.set_Pr1389752855real_c)) (= (@ tptp.collec1643251106real_c (lambda ((X4 tptp.produc190496183real_c)) (@ (@ tptp.member1895684704real_c X4) A))) A)) (forall ((P (-> tptp.produc190496183real_c Bool)) (Q (-> tptp.produc190496183real_c Bool))) (=> (forall ((X3 tptp.produc190496183real_c)) (= (@ P X3) (@ Q X3))) (= (@ tptp.collec1643251106real_c P) (@ tptp.collec1643251106real_c Q)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Vid2 Vid3)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Vid1 Vid3)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Vid1 Vid2)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid3 Pid4)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid2 Pid4)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid2 Pid3)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid4 Pid3)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid4 Pid2)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid4 Pid1)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid3 Pid1)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid3 Pid2)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid2 Pid1)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Fid3 Fid1)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Fid3 Fid2)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Fid2 Fid1)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Vid3 Vid1)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Vid3 Vid2)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Vid2 Vid1)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid3 Pid4)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid2 Pid4)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid1 Pid4)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid1 Pid3)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid2 Pid3)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid1 Pid2)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Fid1 Fid3)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Fid2 Fid3)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Fid1 Fid2)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Vid1 Vid3)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Vid2 Vid3)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Vid1 Vid2)))) (= tptp.ids_sz_sf_sc (lambda ((Vid12 tptp.sz) (Vid22 tptp.sz) (Vid32 tptp.sz) (Fid12 tptp.sf) (Fid22 tptp.sf) (Fid32 tptp.sf) (Pid12 tptp.sc) (Pid22 tptp.sc) (Pid32 tptp.sc) (Pid42 tptp.sc)) (and (not (= Vid12 Vid22)) (not (= Vid22 Vid32)) (not (= Vid12 Vid32)) (not (= Fid12 Fid22)) (not (= Fid22 Fid32)) (not (= Fid12 Fid32)) (not (= Pid12 Pid22)) (not (= Pid22 Pid32)) (not (= Pid12 Pid32)) (not (= Pid12 Pid42)) (not (= Pid22 Pid42)) (not (= Pid32 Pid42))))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Fid1 Fid2)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Fid1 Fid3)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Fid2 Fid3)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (not (= Vid1 Vid2)) (=> (not (= Vid2 Vid3)) (=> (not (= Vid1 Vid3)) (=> (not (= Fid1 Fid2)) (=> (not (= Fid2 Fid3)) (=> (not (= Fid1 Fid3)) (=> (not (= Pid1 Pid2)) (=> (not (= Pid2 Pid3)) (=> (not (= Pid1 Pid3)) (=> (not (= Pid1 Pid4)) (=> (not (= Pid2 Pid4)) (=> (not (= Pid3 Pid4)) (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4)))))))))))))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid1 Pid2)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid1 Pid3)))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (not (= Pid1 Pid4)))) (= tptp.produc1086673900c_sz_o (lambda ((F (-> tptp.produc1821101996_sc_sz Bool)) (A5 tptp.denota610675952t_unit) (B5 tptp.produc866628903_sc_sz)) (@ F (@ (@ tptp.produc789536734_sc_sz A5) B5)))) (forall ((R tptp.list_f1238882004_sc_sz) (S2 tptp.list_f1238882004_sc_sz) (R2 tptp.set_Pr1774599175_sc_sz) (S3 tptp.list_f1238882004_sc_sz)) (let ((_let_1 (@ tptp.produc1822718231_sc_sz R))) (=> (@ (@ tptp.member245028432_sc_sz (@ _let_1 S2)) R2) (=> (= S3 S2) (@ (@ tptp.member245028432_sc_sz (@ _let_1 S3)) R2))))) (forall ((R tptp.produc866628903_sc_sz) (S2 tptp.denota610675952t_unit) (R2 tptp.set_Pr2041213564t_unit) (S3 tptp.denota610675952t_unit)) (let ((_let_1 (@ tptp.produc502616768t_unit R))) (=> (@ (@ tptp.member235934813t_unit (@ _let_1 S2)) R2) (=> (= S3 S2) (@ (@ tptp.member235934813t_unit (@ _let_1 S3)) R2))))) (forall ((R tptp.produc190496183real_c) (S2 tptp.produc190496183real_c) (R2 tptp.set_Pr754230471real_c) (S3 tptp.produc190496183real_c)) (let ((_let_1 (@ tptp.produc1687028567real_c R))) (=> (@ (@ tptp.member346808080real_c (@ _let_1 S2)) R2) (=> (= S3 S2) (@ (@ tptp.member346808080real_c (@ _let_1 S3)) R2))))) (forall ((R tptp.finite1398487019real_c) (S2 tptp.finite1398487019real_c) (R2 tptp.set_Pr1389752855real_c) (S3 tptp.finite1398487019real_c)) (let ((_let_1 (@ tptp.produc394644079real_c R))) (=> (@ (@ tptp.member1895684704real_c (@ _let_1 S2)) R2) (=> (= S3 S2) (@ (@ tptp.member1895684704real_c (@ _let_1 S3)) R2))))) (forall ((R tptp.denota610675952t_unit) (S2 tptp.produc866628903_sc_sz) (R2 tptp.set_Pr1169339874_sc_sz) (S3 tptp.produc866628903_sc_sz)) (let ((_let_1 (@ tptp.produc789536734_sc_sz R))) (=> (@ (@ tptp.member1057565379_sc_sz (@ _let_1 S2)) R2) (=> (= S3 S2) (@ (@ tptp.member1057565379_sc_sz (@ _let_1 S3)) R2))))) (forall ((F2 (-> tptp.produc866628903_sc_sz Bool)) (A2 tptp.list_f1238882004_sc_sz) (B2 tptp.list_f1238882004_sc_sz)) (=> (@ F2 (@ (@ tptp.produc1822718231_sc_sz A2) B2)) (@ (@ (@ tptp.produc880541325c_sz_o F2) A2) B2))) (forall ((F2 (-> tptp.produc190496183real_c Bool)) (A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c)) (=> (@ F2 (@ (@ tptp.produc394644079real_c A2) B2)) (@ (@ (@ tptp.produc1716060341al_c_o F2) A2) B2))) (forall ((F2 (-> tptp.produc999471430t_unit Bool)) (A2 tptp.produc866628903_sc_sz) (B2 tptp.denota610675952t_unit)) (=> (@ F2 (@ (@ tptp.produc502616768t_unit A2) B2)) (@ (@ (@ tptp.produc38128778unit_o F2) A2) B2))) (forall ((F2 (-> tptp.produc640052711real_c Bool)) (A2 tptp.produc190496183real_c) (B2 tptp.produc190496183real_c)) (=> (@ F2 (@ (@ tptp.produc1687028567real_c A2) B2)) (@ (@ (@ tptp.produc440529997al_c_o F2) A2) B2))) (forall ((F2 (-> tptp.produc1821101996_sc_sz Bool)) (A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz)) (=> (@ F2 (@ (@ tptp.produc789536734_sc_sz A2) B2)) (@ (@ (@ tptp.produc1086673900c_sz_o F2) A2) B2))) (forall ((X tptp.list_f1238882004_sc_sz) (Y tptp.list_f1238882004_sc_sz)) (= (@ tptp.produc1145837239_sc_sz (@ (@ tptp.produc1822718231_sc_sz X) Y)) (@ (@ tptp.produc1822718231_sc_sz Y) X))) (forall ((X tptp.produc190496183real_c) (Y tptp.produc190496183real_c)) (= (@ tptp.produc350724343real_c (@ (@ tptp.produc1687028567real_c X) Y)) (@ (@ tptp.produc1687028567real_c Y) X))) (forall ((X tptp.finite1398487019real_c) (Y tptp.finite1398487019real_c)) (= (@ tptp.produc704157711real_c (@ (@ tptp.produc394644079real_c X) Y)) (@ (@ tptp.produc394644079real_c Y) X))) (forall ((X tptp.produc866628903_sc_sz) (Y tptp.denota610675952t_unit)) (= (@ tptp.produc245128480t_unit (@ (@ tptp.produc502616768t_unit X) Y)) (@ (@ tptp.produc789536734_sc_sz Y) X))) (forall ((X tptp.denota610675952t_unit) (Y tptp.produc866628903_sc_sz)) (= (@ tptp.produc532048446_sc_sz (@ (@ tptp.produc789536734_sc_sz X) Y)) (@ (@ tptp.produc502616768t_unit Y) X))) (forall ((Vid1 tptp.sz) (Vid2 tptp.sz) (Vid3 tptp.sz) (Fid1 tptp.sf) (Fid2 tptp.sf) (Fid3 tptp.sf) (Pid1 tptp.sc) (Pid2 tptp.sc) (Pid3 tptp.sc) (Pid4 tptp.sc) (Phi2 tptp.formula_sf_sc_sz)) (=> (@ (@ (@ (@ (@ (@ (@ (@ (@ (@ tptp.ids_sz_sf_sc Vid1) Vid2) Vid3) Fid1) Fid2) Fid3) Pid1) Pid2) Pid3) Pid4) (= (@ tptp.denota1946510237_sc_sz Phi2) (forall ((I tptp.denota610675952t_unit) (Nu tptp.produc1149990247eal_sz)) (=> (@ tptp.denota1579475975_sc_sz I) (@ (@ tptp.member630771088eal_sz Nu) (@ (@ tptp.denota1711272799_sc_sz I) Phi2))))))) (forall ((P2 tptp.produc999471430t_unit)) (= (@ tptp.produc532048446_sc_sz (@ tptp.produc245128480t_unit P2)) P2)) (forall ((P2 tptp.produc1821101996_sc_sz)) (= (@ tptp.produc245128480t_unit (@ tptp.produc532048446_sc_sz P2)) P2)) (forall ((P2 tptp.produc190496183real_c)) (= (@ tptp.produc704157711real_c (@ tptp.produc704157711real_c P2)) P2)) (forall ((F2 (-> tptp.produc866628903_sc_sz Bool)) (A2 tptp.list_f1238882004_sc_sz) (B2 tptp.list_f1238882004_sc_sz)) (=> (@ (@ (@ tptp.produc880541325c_sz_o F2) A2) B2) (@ F2 (@ (@ tptp.produc1822718231_sc_sz A2) B2)))) (forall ((F2 (-> tptp.produc190496183real_c Bool)) (A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c)) (=> (@ (@ (@ tptp.produc1716060341al_c_o F2) A2) B2) (@ F2 (@ (@ tptp.produc394644079real_c A2) B2)))) (forall ((F2 (-> tptp.produc999471430t_unit Bool)) (A2 tptp.produc866628903_sc_sz) (B2 tptp.denota610675952t_unit)) (=> (@ (@ (@ tptp.produc38128778unit_o F2) A2) B2) (@ F2 (@ (@ tptp.produc502616768t_unit A2) B2)))) (forall ((F2 (-> tptp.produc640052711real_c Bool)) (A2 tptp.produc190496183real_c) (B2 tptp.produc190496183real_c)) (=> (@ (@ (@ tptp.produc440529997al_c_o F2) A2) B2) (@ F2 (@ (@ tptp.produc1687028567real_c A2) B2)))) (forall ((F2 (-> tptp.produc1821101996_sc_sz Bool)) (A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz)) (=> (@ (@ (@ tptp.produc1086673900c_sz_o F2) A2) B2) (@ F2 (@ (@ tptp.produc789536734_sc_sz A2) B2)))) (forall ((F2 (-> tptp.produc866628903_sc_sz Bool)) (A2 tptp.list_f1238882004_sc_sz) (B2 tptp.list_f1238882004_sc_sz)) (=> (@ (@ (@ tptp.produc880541325c_sz_o F2) A2) B2) (@ F2 (@ (@ tptp.produc1822718231_sc_sz A2) B2)))) (forall ((F2 (-> tptp.produc190496183real_c Bool)) (A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c)) (=> (@ (@ (@ tptp.produc1716060341al_c_o F2) A2) B2) (@ F2 (@ (@ tptp.produc394644079real_c A2) B2)))) (forall ((F2 (-> tptp.produc999471430t_unit Bool)) (A2 tptp.produc866628903_sc_sz) (B2 tptp.denota610675952t_unit)) (=> (@ (@ (@ tptp.produc38128778unit_o F2) A2) B2) (@ F2 (@ (@ tptp.produc502616768t_unit A2) B2)))) (forall ((F2 (-> tptp.produc640052711real_c Bool)) (A2 tptp.produc190496183real_c) (B2 tptp.produc190496183real_c)) (=> (@ (@ (@ tptp.produc440529997al_c_o F2) A2) B2) (@ F2 (@ (@ tptp.produc1687028567real_c A2) B2)))) (forall ((F2 (-> tptp.produc1821101996_sc_sz Bool)) (A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz)) (=> (@ (@ (@ tptp.produc1086673900c_sz_o F2) A2) B2) (@ F2 (@ (@ tptp.produc789536734_sc_sz A2) B2)))) (forall ((Y tptp.list_f1238882004_sc_sz) (X tptp.list_f1238882004_sc_sz) (A tptp.set_Pr1774599175_sc_sz)) (= (@ (@ tptp.member245028432_sc_sz (@ (@ tptp.produc1822718231_sc_sz Y) X)) (@ (@ tptp.image_1313166277_sc_sz tptp.produc1145837239_sc_sz) A)) (@ (@ tptp.member245028432_sc_sz (@ (@ tptp.produc1822718231_sc_sz X) Y)) A))) (forall ((Y tptp.produc190496183real_c) (X tptp.produc190496183real_c) (A tptp.set_Pr754230471real_c)) (= (@ (@ tptp.member346808080real_c (@ (@ tptp.produc1687028567real_c Y) X)) (@ (@ tptp.image_2041365445real_c tptp.produc350724343real_c) A)) (@ (@ tptp.member346808080real_c (@ (@ tptp.produc1687028567real_c X) Y)) A))) (forall ((Y tptp.finite1398487019real_c) (X tptp.finite1398487019real_c) (A tptp.set_Pr1389752855real_c)) (= (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c Y) X)) (@ (@ tptp.image_738229701real_c tptp.produc704157711real_c) A)) (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c X) Y)) A))) (forall ((Y tptp.produc866628903_sc_sz) (X tptp.denota610675952t_unit) (A tptp.set_Pr1169339874_sc_sz)) (= (@ (@ tptp.member235934813t_unit (@ (@ tptp.produc502616768t_unit Y) X)) (@ (@ tptp.image_904562809t_unit tptp.produc532048446_sc_sz) A)) (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz X) Y)) A))) (forall ((Y tptp.denota610675952t_unit) (X tptp.produc866628903_sc_sz) (A tptp.set_Pr2041213564t_unit)) (= (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz Y) X)) (@ (@ tptp.image_1426741113_sc_sz tptp.produc245128480t_unit) A)) (@ (@ tptp.member235934813t_unit (@ (@ tptp.produc502616768t_unit X) Y)) A))) (= tptp.produc383750338real_c tptp.produc1575513068real_c) (= tptp.produc198687651c_sz_o tptp.produc619560141c_sz_o) (= tptp.produc1894848802real_c tptp.produc237521996real_c) (= tptp.produc1442549981real_c tptp.produc107375667real_c) (= tptp.produc2099580355_sc_sz tptp.produc435149849_sc_sz) (forall ((F2 (-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz)) (X tptp.list_f1238882004_sc_sz) (Y tptp.list_f1238882004_sc_sz)) (let ((_let_1 (@ tptp.produc1822718231_sc_sz X))) (= (@ (@ tptp.produc233219286_sc_sz F2) (@ _let_1 Y)) (@ _let_1 (@ F2 Y))))) (forall ((F2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c)) (X tptp.finite1398487019real_c) (Y tptp.finite1398487019real_c)) (let ((_let_1 (@ tptp.produc394644079real_c X))) (= (@ (@ tptp.produc981295297real_c F2) (@ _let_1 Y)) (@ _let_1 (@ F2 Y))))) (forall ((F2 (-> tptp.denota610675952t_unit tptp.denota610675952t_unit)) (X tptp.produc866628903_sc_sz) (Y tptp.denota610675952t_unit)) (let ((_let_1 (@ tptp.produc502616768t_unit X))) (= (@ (@ tptp.produc793407943_sc_sz F2) (@ _let_1 Y)) (@ _let_1 (@ F2 Y))))) (forall ((F2 (-> tptp.produc190496183real_c tptp.produc190496183real_c)) (X tptp.produc190496183real_c) (Y tptp.produc190496183real_c)) (let ((_let_1 (@ tptp.produc1687028567real_c X))) (= (@ (@ tptp.produc2089853305real_c F2) (@ _let_1 Y)) (@ _let_1 (@ F2 Y))))) (forall ((F2 (-> tptp.produc866628903_sc_sz tptp.produc866628903_sc_sz)) (X tptp.denota610675952t_unit) (Y tptp.produc866628903_sc_sz)) (let ((_let_1 (@ tptp.produc789536734_sc_sz X))) (= (@ (@ tptp.produc1959054510t_unit F2) (@ _let_1 Y)) (@ _let_1 (@ F2 Y))))) (forall ((P2 tptp.produc1821101996_sc_sz) (Z tptp.produc190496183real_c) (C2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.set_Pr1389752855real_c))) (=> (forall ((A4 tptp.denota610675952t_unit) (B4 tptp.produc866628903_sc_sz)) (=> (= P2 (@ (@ tptp.produc789536734_sc_sz A4) B4)) (@ (@ tptp.member1895684704real_c Z) (@ (@ C2 A4) B4)))) (@ (@ tptp.member1895684704real_c Z) (@ (@ tptp.produc237521996real_c C2) P2)))) (forall ((P2 tptp.produc190496183real_c) (Z tptp.finite1398487019real_c) (C2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.set_Fi1407883041real_c))) (=> (forall ((A4 tptp.finite1398487019real_c) (B4 tptp.finite1398487019real_c)) (=> (= P2 (@ (@ tptp.produc394644079real_c A4) B4)) (@ (@ tptp.member1261661570real_c Z) (@ (@ C2 A4) B4)))) (@ (@ tptp.member1261661570real_c Z) (@ (@ tptp.produc29022117real_c C2) P2)))) (forall ((P2 tptp.produc866628903_sc_sz) (Z tptp.finite1398487019real_c) (C2 (-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz tptp.set_Fi1407883041real_c))) (=> (forall ((A4 tptp.list_f1238882004_sc_sz) (B4 tptp.list_f1238882004_sc_sz)) (=> (= P2 (@ (@ tptp.produc1822718231_sc_sz A4) B4)) (@ (@ tptp.member1261661570real_c Z) (@ (@ C2 A4) B4)))) (@ (@ tptp.member1261661570real_c Z) (@ (@ tptp.produc1449736269real_c C2) P2)))) (forall ((P2 tptp.produc190496183real_c) (Z tptp.produc190496183real_c) (C2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.set_Pr1389752855real_c))) (=> (forall ((A4 tptp.finite1398487019real_c) (B4 tptp.finite1398487019real_c)) (=> (= P2 (@ (@ tptp.produc394644079real_c A4) B4)) (@ (@ tptp.member1895684704real_c Z) (@ (@ C2 A4) B4)))) (@ (@ tptp.member1895684704real_c Z) (@ (@ tptp.produc923381907real_c C2) P2)))) (forall ((P2 tptp.produc866628903_sc_sz) (Z tptp.produc190496183real_c) (C2 (-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz tptp.set_Pr1389752855real_c))) (=> (forall ((A4 tptp.list_f1238882004_sc_sz) (B4 tptp.list_f1238882004_sc_sz)) (=> (= P2 (@ (@ tptp.produc1822718231_sc_sz A4) B4)) (@ (@ tptp.member1895684704real_c Z) (@ (@ C2 A4) B4)))) (@ (@ tptp.member1895684704real_c Z) (@ (@ tptp.produc6841835real_c C2) P2)))) (forall ((P2 tptp.produc190496183real_c) (Z tptp.produc866628903_sc_sz) (C2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.set_Pr1774599175_sc_sz))) (=> (forall ((A4 tptp.finite1398487019real_c) (B4 tptp.finite1398487019real_c)) (=> (= P2 (@ (@ tptp.produc394644079real_c A4) B4)) (@ (@ tptp.member245028432_sc_sz Z) (@ (@ C2 A4) B4)))) (@ (@ tptp.member245028432_sc_sz Z) (@ (@ tptp.produc642283651_sc_sz C2) P2)))) (forall ((P2 tptp.produc640052711real_c) (Z tptp.finite1398487019real_c) (C2 (-> tptp.produc190496183real_c tptp.produc190496183real_c tptp.set_Fi1407883041real_c))) (=> (forall ((A4 tptp.produc190496183real_c) (B4 tptp.produc190496183real_c)) (=> (= P2 (@ (@ tptp.produc1687028567real_c A4) B4)) (@ (@ tptp.member1261661570real_c Z) (@ (@ C2 A4) B4)))) (@ (@ tptp.member1261661570real_c Z) (@ (@ tptp.produc1066779277real_c C2) P2)))) (forall ((P2 tptp.produc1821101996_sc_sz) (Z tptp.finite1398487019real_c) (C2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.set_Fi1407883041real_c))) (=> (forall ((A4 tptp.denota610675952t_unit) (B4 tptp.produc866628903_sc_sz)) (=> (= P2 (@ (@ tptp.produc789536734_sc_sz A4) B4)) (@ (@ tptp.member1261661570real_c Z) (@ (@ C2 A4) B4)))) (@ (@ tptp.member1261661570real_c Z) (@ (@ tptp.produc2068697644real_c C2) P2)))) (forall ((P2 tptp.produc999471430t_unit) (Z tptp.finite1398487019real_c) (C2 (-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit tptp.set_Fi1407883041real_c))) (=> (forall ((A4 tptp.produc866628903_sc_sz) (B4 tptp.denota610675952t_unit)) (=> (= P2 (@ (@ tptp.produc502616768t_unit A4) B4)) (@ (@ tptp.member1261661570real_c Z) (@ (@ C2 A4) B4)))) (@ (@ tptp.member1261661570real_c Z) (@ (@ tptp.produc1368849166real_c C2) P2)))) (forall ((P2 tptp.produc866628903_sc_sz) (Z tptp.produc866628903_sc_sz) (C2 (-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz tptp.set_Pr1774599175_sc_sz))) (=> (forall ((A4 tptp.list_f1238882004_sc_sz) (B4 tptp.list_f1238882004_sc_sz)) (=> (= P2 (@ (@ tptp.produc1822718231_sc_sz A4) B4)) (@ (@ tptp.member245028432_sc_sz Z) (@ (@ C2 A4) B4)))) (@ (@ tptp.member245028432_sc_sz Z) (@ (@ tptp.produc1563580891_sc_sz C2) P2)))) (forall ((Z tptp.produc190496183real_c) (C2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.set_Pr1389752855real_c)) (A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz)) (let ((_let_1 (@ tptp.member1895684704real_c Z))) (=> (@ _let_1 (@ (@ C2 A2) B2)) (@ _let_1 (@ (@ tptp.produc237521996real_c C2) (@ (@ tptp.produc789536734_sc_sz A2) B2)))))) (forall ((Z tptp.finite1398487019real_c) (C2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.set_Fi1407883041real_c)) (A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c)) (let ((_let_1 (@ tptp.member1261661570real_c Z))) (=> (@ _let_1 (@ (@ C2 A2) B2)) (@ _let_1 (@ (@ tptp.produc29022117real_c C2) (@ (@ tptp.produc394644079real_c A2) B2)))))) (forall ((Z tptp.finite1398487019real_c) (C2 (-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz tptp.set_Fi1407883041real_c)) (A2 tptp.list_f1238882004_sc_sz) (B2 tptp.list_f1238882004_sc_sz)) (let ((_let_1 (@ tptp.member1261661570real_c Z))) (=> (@ _let_1 (@ (@ C2 A2) B2)) (@ _let_1 (@ (@ tptp.produc1449736269real_c C2) (@ (@ tptp.produc1822718231_sc_sz A2) B2)))))) (forall ((Z tptp.produc190496183real_c) (C2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.set_Pr1389752855real_c)) (A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c)) (let ((_let_1 (@ tptp.member1895684704real_c Z))) (=> (@ _let_1 (@ (@ C2 A2) B2)) (@ _let_1 (@ (@ tptp.produc923381907real_c C2) (@ (@ tptp.produc394644079real_c A2) B2)))))) (forall ((Z tptp.produc190496183real_c) (C2 (-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz tptp.set_Pr1389752855real_c)) (A2 tptp.list_f1238882004_sc_sz) (B2 tptp.list_f1238882004_sc_sz)) (let ((_let_1 (@ tptp.member1895684704real_c Z))) (=> (@ _let_1 (@ (@ C2 A2) B2)) (@ _let_1 (@ (@ tptp.produc6841835real_c C2) (@ (@ tptp.produc1822718231_sc_sz A2) B2)))))) (forall ((Z tptp.produc866628903_sc_sz) (C2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.set_Pr1774599175_sc_sz)) (A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c)) (let ((_let_1 (@ tptp.member245028432_sc_sz Z))) (=> (@ _let_1 (@ (@ C2 A2) B2)) (@ _let_1 (@ (@ tptp.produc642283651_sc_sz C2) (@ (@ tptp.produc394644079real_c A2) B2)))))) (forall ((Z tptp.finite1398487019real_c) (C2 (-> tptp.produc190496183real_c tptp.produc190496183real_c tptp.set_Fi1407883041real_c)) (A2 tptp.produc190496183real_c) (B2 tptp.produc190496183real_c)) (let ((_let_1 (@ tptp.member1261661570real_c Z))) (=> (@ _let_1 (@ (@ C2 A2) B2)) (@ _let_1 (@ (@ tptp.produc1066779277real_c C2) (@ (@ tptp.produc1687028567real_c A2) B2)))))) (forall ((Z tptp.finite1398487019real_c) (C2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.set_Fi1407883041real_c)) (A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz)) (let ((_let_1 (@ tptp.member1261661570real_c Z))) (=> (@ _let_1 (@ (@ C2 A2) B2)) (@ _let_1 (@ (@ tptp.produc2068697644real_c C2) (@ (@ tptp.produc789536734_sc_sz A2) B2)))))) (forall ((Z tptp.finite1398487019real_c) (C2 (-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit tptp.set_Fi1407883041real_c)) (A2 tptp.produc866628903_sc_sz) (B2 tptp.denota610675952t_unit)) (let ((_let_1 (@ tptp.member1261661570real_c Z))) (=> (@ _let_1 (@ (@ C2 A2) B2)) (@ _let_1 (@ (@ tptp.produc1368849166real_c C2) (@ (@ tptp.produc502616768t_unit A2) B2)))))) (forall ((Z tptp.produc866628903_sc_sz) (C2 (-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz tptp.set_Pr1774599175_sc_sz)) (A2 tptp.list_f1238882004_sc_sz) (B2 tptp.list_f1238882004_sc_sz)) (let ((_let_1 (@ tptp.member245028432_sc_sz Z))) (=> (@ _let_1 (@ (@ C2 A2) B2)) (@ _let_1 (@ (@ tptp.produc1563580891_sc_sz C2) (@ (@ tptp.produc1822718231_sc_sz A2) B2)))))) (forall ((P2 tptp.produc866628903_sc_sz) (C2 (-> tptp.list_f1238882004_sc_sz tptp.list_f1238882004_sc_sz Bool))) (=> (forall ((A4 tptp.list_f1238882004_sc_sz) (B4 tptp.list_f1238882004_sc_sz)) (=> (= P2 (@ (@ tptp.produc1822718231_sc_sz A4) B4)) (@ (@ C2 A4) B4))) (@ (@ tptp.produc2039065452c_sz_o C2) P2))) (forall ((P2 tptp.produc190496183real_c) (C2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c Bool))) (=> (forall ((A4 tptp.finite1398487019real_c) (B4 tptp.finite1398487019real_c)) (=> (= P2 (@ (@ tptp.produc394644079real_c A4) B4)) (@ (@ C2 A4) B4))) (@ (@ tptp.produc353381908al_c_o C2) P2))) (forall ((P2 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tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz)) (=> (@ (@ F2 A2) B2) (@ (@ tptp.produc619560141c_sz_o F2) (@ (@ tptp.produc789536734_sc_sz A2) B2)))) (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.produc190496183real_c)) (A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz)) (= (@ (@ tptp.produc1575513068real_c F2) (@ (@ tptp.produc789536734_sc_sz A2) B2)) (@ (@ F2 A2) B2))) (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz Bool)) (A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz)) (= (@ (@ tptp.produc619560141c_sz_o F2) (@ (@ tptp.produc789536734_sc_sz A2) B2)) (@ (@ F2 A2) B2))) (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.set_Pr1389752855real_c)) (A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz)) (= (@ (@ tptp.produc237521996real_c F2) (@ (@ tptp.produc789536734_sc_sz A2) B2)) (@ (@ F2 A2) B2))) (forall ((F2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.produc190496183real_c)) (A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c)) (= (@ (@ tptp.produc107375667real_c F2) (@ (@ tptp.produc394644079real_c A2) B2)) (@ (@ F2 A2) B2))) (forall ((F2 (-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit tptp.produc1821101996_sc_sz)) (A2 tptp.produc866628903_sc_sz) (B2 tptp.denota610675952t_unit)) (= (@ (@ tptp.produc435149849_sc_sz F2) (@ (@ tptp.produc502616768t_unit A2) B2)) (@ (@ F2 A2) B2))) (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.produc190496183real_c))) (= (@ tptp.produc753314315real_c (@ tptp.produc1575513068real_c F2)) F2)) (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz Bool))) (= (@ tptp.produc1086673900c_sz_o (@ tptp.produc619560141c_sz_o F2)) F2)) (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.set_Pr1389752855real_c))) (= (@ tptp.produc1827049067real_c (@ tptp.produc237521996real_c F2)) F2)) (forall ((F2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c tptp.produc190496183real_c))) (= (@ tptp.produc1119115220real_c (@ tptp.produc107375667real_c F2)) F2)) (forall ((F2 (-> tptp.produc866628903_sc_sz tptp.denota610675952t_unit tptp.produc1821101996_sc_sz))) (= (@ tptp.produc295339066_sc_sz (@ tptp.produc435149849_sc_sz F2)) F2)) (forall ((F2 (-> tptp.produc1821101996_sc_sz tptp.produc190496183real_c))) (= (@ tptp.produc1575513068real_c (@ tptp.produc753314315real_c F2)) F2)) (forall ((F2 (-> tptp.produc1821101996_sc_sz Bool))) (= (@ tptp.produc619560141c_sz_o (@ tptp.produc1086673900c_sz_o F2)) F2)) (forall ((F2 (-> tptp.produc1821101996_sc_sz tptp.set_Pr1389752855real_c))) (= (@ tptp.produc237521996real_c (@ tptp.produc1827049067real_c F2)) F2)) (forall ((F2 (-> tptp.produc190496183real_c tptp.produc190496183real_c))) (= (@ tptp.produc107375667real_c (@ tptp.produc1119115220real_c F2)) F2)) (forall ((F2 (-> tptp.produc999471430t_unit tptp.produc1821101996_sc_sz))) (= (@ tptp.produc435149849_sc_sz (@ tptp.produc295339066_sc_sz F2)) F2)) (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.produc190496183real_c)) (P2 tptp.produc1821101996_sc_sz)) (= (@ (@ tptp.produc645763722real_c (lambda ((Y4 tptp.produc866628903_sc_sz) (X4 tptp.denota610675952t_unit)) (@ (@ F2 X4) Y4))) (@ tptp.produc532048446_sc_sz P2)) (@ (@ tptp.produc1575513068real_c F2) P2))) (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz Bool)) (P2 tptp.produc1821101996_sc_sz)) (= (@ (@ tptp.produc1718498667unit_o (lambda ((Y4 tptp.produc866628903_sc_sz) (X4 tptp.denota610675952t_unit)) (@ (@ F2 X4) Y4))) (@ tptp.produc532048446_sc_sz P2)) (@ (@ tptp.produc619560141c_sz_o F2) P2))) (forall ((F2 (-> tptp.denota610675952t_unit tptp.produc866628903_sc_sz tptp.set_Pr1389752855real_c)) (P2 tptp.produc1821101996_sc_sz)) (= (@ (@ tptp.produc593754858real_c (lambda ((Y4 tptp.produc866628903_sc_sz) (X4 tptp.denota610675952t_unit)) (@ (@ F2 X4) Y4))) 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tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz) (A tptp.set_De208295462t_unit) (B (-> tptp.denota610675952t_unit tptp.set_Pr1774599175_sc_sz))) (=> (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz A2) B2)) (@ (@ tptp.produc159603053_sc_sz A) B)) (@ (@ tptp.member754147591t_unit A2) A))) (forall ((C2 tptp.produc640052711real_c) (A tptp.set_Pr1389752855real_c) (B (-> tptp.produc190496183real_c tptp.set_Pr1389752855real_c))) (=> (@ (@ tptp.member346808080real_c C2) (@ (@ tptp.produc1017530376real_c A) B)) (not (forall ((X3 tptp.produc190496183real_c)) (=> (@ (@ tptp.member1895684704real_c X3) A) (forall ((Y3 tptp.produc190496183real_c)) (=> (@ (@ tptp.member1895684704real_c Y3) (@ B X3)) (not (= C2 (@ (@ tptp.produc1687028567real_c X3) Y3)))))))))) (forall ((C2 tptp.produc190496183real_c) (A tptp.set_Fi1407883041real_c) (B (-> tptp.finite1398487019real_c tptp.set_Fi1407883041real_c))) (=> (@ (@ tptp.member1895684704real_c C2) (@ (@ tptp.produc563345056real_c A) B)) (not (forall ((X3 tptp.finite1398487019real_c)) (=> (@ (@ tptp.member1261661570real_c X3) A) (forall ((Y3 tptp.finite1398487019real_c)) (=> (@ (@ tptp.member1261661570real_c Y3) (@ B X3)) (not (= C2 (@ (@ tptp.produc394644079real_c X3) Y3)))))))))) (forall ((C2 tptp.produc1821101996_sc_sz) (A tptp.set_De208295462t_unit) (B (-> tptp.denota610675952t_unit tptp.set_Pr1774599175_sc_sz))) (=> (@ (@ tptp.member1057565379_sc_sz C2) (@ (@ tptp.produc159603053_sc_sz A) B)) (not (forall ((X3 tptp.denota610675952t_unit)) (=> (@ (@ tptp.member754147591t_unit X3) A) (forall ((Y3 tptp.produc866628903_sc_sz)) (=> (@ (@ tptp.member245028432_sc_sz Y3) (@ B X3)) (not (= C2 (@ (@ tptp.produc789536734_sc_sz X3) Y3)))))))))) (forall ((A tptp.set_Pr1774599175_sc_sz) (B tptp.set_De208295462t_unit)) (= (@ (@ tptp.image_1426741113_sc_sz (@ tptp.produc435149849_sc_sz (lambda ((I4 tptp.produc866628903_sc_sz) (J2 tptp.denota610675952t_unit)) (@ (@ tptp.produc789536734_sc_sz J2) I4)))) (@ (@ tptp.produc2020166735t_unit A) (lambda ((Uu tptp.produc866628903_sc_sz)) B))) (@ (@ tptp.produc159603053_sc_sz B) (lambda ((Uu tptp.denota610675952t_unit)) A)))) (forall ((X tptp.produc190496183real_c) (A tptp.set_Fi1407883041real_c) (B tptp.set_Fi1407883041real_c)) (let ((_let_1 (@ tptp.member1895684704real_c X))) (= (@ _let_1 (@ (@ tptp.produc3751594real_c A) B)) (@ _let_1 (@ (@ tptp.produc563345056real_c A) (lambda ((Uu tptp.finite1398487019real_c)) B)))))) (forall ((F2 (-> tptp.denota610675952t_unit tptp.denota610675952t_unit)) (G (-> tptp.produc866628903_sc_sz tptp.produc866628903_sc_sz)) (A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz)) (= (@ (@ (@ tptp.produc403791768_sc_sz F2) G) (@ (@ tptp.produc789536734_sc_sz A2) B2)) (@ (@ tptp.produc789536734_sc_sz (@ F2 A2)) (@ G B2)))) (forall ((X tptp.finite1398487019real_c) (Y tptp.finite1398487019real_c) (R tptp.set_Pr1389752855real_c) (F2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c))) (= (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c X) Y)) (@ (@ tptp.inv_im1827249322real_c R) F2)) (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c (@ F2 X)) (@ F2 Y))) R))) (forall ((A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c) (R2 tptp.set_Pr1389752855real_c) (F2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c)) (G (-> tptp.finite1398487019real_c tptp.finite1398487019real_c))) (=> (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c A2) B2)) R2) (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c (@ F2 A2)) (@ G B2))) (@ (@ tptp.image_738229701real_c (@ (@ tptp.produc368345510real_c F2) G)) R2)))) (forall ((A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c) (R2 tptp.set_Pr1389752855real_c) (F2 (-> tptp.finite1398487019real_c tptp.denota610675952t_unit)) (G (-> tptp.finite1398487019real_c tptp.produc866628903_sc_sz))) (=> (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c A2) B2)) R2) (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz (@ F2 A2)) (@ G B2))) (@ (@ tptp.image_1259833374_sc_sz (@ (@ tptp.produc1784590311_sc_sz F2) G)) R2)))) (forall ((A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz) (R2 tptp.set_Pr1169339874_sc_sz) (F2 (-> tptp.denota610675952t_unit tptp.finite1398487019real_c)) (G (-> tptp.produc866628903_sc_sz tptp.finite1398487019real_c))) (=> (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz A2) B2)) R2) (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c (@ F2 A2)) (@ G B2))) (@ (@ tptp.image_386905412real_c (@ (@ tptp.produc1612557567real_c F2) G)) R2)))) (forall ((A2 tptp.denota610675952t_unit) (B2 tptp.produc866628903_sc_sz) (R2 tptp.set_Pr1169339874_sc_sz) (F2 (-> tptp.denota610675952t_unit tptp.denota610675952t_unit)) (G (-> tptp.produc866628903_sc_sz tptp.produc866628903_sc_sz))) (=> (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz A2) B2)) R2) (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz (@ F2 A2)) (@ G B2))) (@ (@ tptp.image_1726193375_sc_sz (@ (@ tptp.produc403791768_sc_sz F2) G)) R2)))) (forall ((C2 tptp.produc190496183real_c) (F2 (-> tptp.finite1398487019real_c tptp.finite1398487019real_c)) (G (-> tptp.finite1398487019real_c tptp.finite1398487019real_c)) (R2 tptp.set_Pr1389752855real_c)) (=> (@ (@ tptp.member1895684704real_c C2) (@ (@ tptp.image_738229701real_c (@ (@ tptp.produc368345510real_c F2) G)) R2)) (not (forall ((X3 tptp.finite1398487019real_c) (Y3 tptp.finite1398487019real_c)) (=> (= C2 (@ (@ tptp.produc394644079real_c (@ F2 X3)) (@ G Y3))) (not (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c X3) Y3)) R2))))))) (forall ((C2 tptp.produc190496183real_c) (F2 (-> tptp.denota610675952t_unit tptp.finite1398487019real_c)) (G (-> tptp.produc866628903_sc_sz tptp.finite1398487019real_c)) (R2 tptp.set_Pr1169339874_sc_sz)) (=> (@ (@ tptp.member1895684704real_c C2) (@ (@ tptp.image_386905412real_c (@ (@ tptp.produc1612557567real_c F2) G)) R2)) (not (forall ((X3 tptp.denota610675952t_unit) (Y3 tptp.produc866628903_sc_sz)) (=> (= C2 (@ (@ tptp.produc394644079real_c (@ F2 X3)) (@ G Y3))) (not (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz X3) Y3)) R2))))))) (forall ((C2 tptp.produc1821101996_sc_sz) (F2 (-> tptp.finite1398487019real_c tptp.denota610675952t_unit)) (G (-> tptp.finite1398487019real_c tptp.produc866628903_sc_sz)) (R2 tptp.set_Pr1389752855real_c)) (=> (@ (@ tptp.member1057565379_sc_sz C2) (@ (@ tptp.image_1259833374_sc_sz (@ (@ tptp.produc1784590311_sc_sz F2) G)) R2)) (not (forall ((X3 tptp.finite1398487019real_c) (Y3 tptp.finite1398487019real_c)) (=> (= C2 (@ (@ tptp.produc789536734_sc_sz (@ F2 X3)) (@ G Y3))) (not (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c X3) Y3)) R2))))))) (forall ((C2 tptp.produc1821101996_sc_sz) (F2 (-> tptp.denota610675952t_unit tptp.denota610675952t_unit)) (G (-> tptp.produc866628903_sc_sz tptp.produc866628903_sc_sz)) (R2 tptp.set_Pr1169339874_sc_sz)) (=> (@ (@ tptp.member1057565379_sc_sz C2) (@ (@ tptp.image_1726193375_sc_sz (@ (@ tptp.produc403791768_sc_sz F2) G)) R2)) (not (forall ((X3 tptp.denota610675952t_unit) (Y3 tptp.produc866628903_sc_sz)) (=> (= C2 (@ (@ tptp.produc789536734_sc_sz (@ F2 X3)) (@ G Y3))) (not (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz X3) Y3)) R2))))))) (forall ((A2 tptp.finite1398487019real_c) (B2 tptp.finite1398487019real_c) (C2 tptp.finite1398487019real_c) (D tptp.finite1398487019real_c)) (=> (@ (@ (@ tptp.denota1997846518gree_c (@ (@ tptp.produc394644079real_c A2) B2)) (@ (@ tptp.produc394644079real_c C2) D)) tptp.top_to1660572043um_c_c) (and (= A2 C2) (= B2 D)))) (forall ((Nu3 tptp.produc190496183real_c) (Omega tptp.produc190496183real_c)) (=> (@ (@ (@ tptp.denota1997846518gree_c Nu3) Omega) tptp.top_to1660572043um_c_c) (= Nu3 Omega))) (= tptp.top_to964419200al_c_o (lambda ((X4 tptp.finite1398487019real_c) (Y4 tptp.finite1398487019real_c)) (@ (@ tptp.member1895684704real_c (@ (@ tptp.produc394644079real_c X4) Y4)) tptp.top_to226056039real_c))) (= tptp.top_to1399053141c_sz_o (lambda ((X4 tptp.denota610675952t_unit) (Y4 tptp.produc866628903_sc_sz)) (@ (@ tptp.member1057565379_sc_sz (@ (@ tptp.produc789536734_sc_sz X4) Y4)) tptp.top_to1499569298_sc_sz))) (forall ((X1 tptp.denota610675952t_unit) (X2 tptp.produc866628903_sc_sz)) (= (@ tptp.produc1503602930_sc_sz (@ (@ tptp.produc789536734_sc_sz X1) X2)) X1)) (forall ((X tptp.denota610675952t_unit) (Y tptp.produc866628903_sc_sz) (A2 tptp.denota610675952t_unit)) (=> (= (@ tptp.produc1503602930_sc_sz (@ (@ tptp.produc789536734_sc_sz X) Y)) A2) (= X A2))) _let_1 true))))))))))
% 0.57/1.11 )
% 0.57/1.11 % SZS output end Proof for ITP039^1
% 0.57/1.11 % cvc5---1.0.5 exiting
% 0.57/1.11 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------