TSTP Solution File: NUM748+4 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : NUM748+4 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n012.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  : 600s
% DateTime : Mon Jul 18 13:31:36 EDT 2022

% Result   : Timeout 300.02s 300.30s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : NUM748+4 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jul  7 11:08:59 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.16/1.53  ============================== Prover9 ===============================
% 1.16/1.53  Prover9 (32) version 2009-11A, November 2009.
% 1.16/1.53  Process 9529 was started by sandbox on n012.cluster.edu,
% 1.16/1.53  Thu Jul  7 11:09:00 2022
% 1.16/1.53  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_9376_n012.cluster.edu".
% 1.16/1.53  ============================== end of head ===========================
% 1.16/1.53  
% 1.16/1.53  ============================== INPUT =================================
% 1.16/1.53  
% 1.16/1.53  % Reading from file /tmp/Prover9_9376_n012.cluster.edu
% 1.16/1.53  
% 1.16/1.53  set(prolog_style_variables).
% 1.16/1.53  set(auto2).
% 1.16/1.53      % set(auto2) -> set(auto).
% 1.16/1.53      % set(auto) -> set(auto_inference).
% 1.16/1.53      % set(auto) -> set(auto_setup).
% 1.16/1.53      % set(auto_setup) -> set(predicate_elim).
% 1.16/1.53      % set(auto_setup) -> assign(eq_defs, unfold).
% 1.16/1.53      % set(auto) -> set(auto_limits).
% 1.16/1.53      % set(auto_limits) -> assign(max_weight, "100.000").
% 1.16/1.53      % set(auto_limits) -> assign(sos_limit, 20000).
% 1.16/1.53      % set(auto) -> set(auto_denials).
% 1.16/1.53      % set(auto) -> set(auto_process).
% 1.16/1.53      % set(auto2) -> assign(new_constants, 1).
% 1.16/1.53      % set(auto2) -> assign(fold_denial_max, 3).
% 1.16/1.53      % set(auto2) -> assign(max_weight, "200.000").
% 1.16/1.53      % set(auto2) -> assign(max_hours, 1).
% 1.16/1.53      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.16/1.53      % set(auto2) -> assign(max_seconds, 0).
% 1.16/1.53      % set(auto2) -> assign(max_minutes, 5).
% 1.16/1.53      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.16/1.53      % set(auto2) -> set(sort_initial_sos).
% 1.16/1.53      % set(auto2) -> assign(sos_limit, -1).
% 1.16/1.53      % set(auto2) -> assign(lrs_ticks, 3000).
% 1.16/1.53      % set(auto2) -> assign(max_megs, 400).
% 1.16/1.53      % set(auto2) -> assign(stats, some).
% 1.16/1.53      % set(auto2) -> clear(echo_input).
% 1.16/1.53      % set(auto2) -> set(quiet).
% 1.16/1.53      % set(auto2) -> clear(print_initial_clauses).
% 1.16/1.53      % set(auto2) -> clear(print_given).
% 1.16/1.53  assign(lrs_ticks,-1).
% 1.16/1.53  assign(sos_limit,10000).
% 1.16/1.53  assign(order,kbo).
% 1.16/1.53  set(lex_order_vars).
% 1.16/1.53  clear(print_given).
% 1.16/1.53  
% 1.16/1.53  % formulas(sos).  % not echoed (947 formulas)
% 1.16/1.53  
% 1.16/1.53  ============================== end of input ==========================
% 1.16/1.53  
% 1.16/1.53  % From the command line: assign(max_seconds, 300).
% 1.16/1.53  
% 1.16/1.53  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.16/1.53  
% 1.16/1.53  % Formulas that are not ordinary clauses:
% 1.16/1.53  1 (all B_1 all B_2 gg_bool(scratc2008168734_amone(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__57548__4068_ONUM748__thf__4__p_Obnd__amone) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.53  2 (all B_1 all B_2 gg_bool(scratc1254567215_d_and(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__57548__4068_ONUM748__thf__4__p_Obnd__d__and) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.53  3 (all B_1 gg_bool(scratc1362032395_d_not(B_1))) # label(gsy_c_Scratch__tptp__translate__57548__4068_ONUM748__thf__4__p_Obnd__d__not) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.53  4 (all B_1 all B_2 all B_3 gg_bool(scratc1947106425nd_ec3(B_1,B_2,B_3))) # label(gsy_c_Scratch__tptp__translate__57548__4068_ONUM748__thf__4__p_Obnd__ec3) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.53  5 (all B_1 all B_2 gg_TPTP_ind(scratc1947106490nd_ect(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__57548__4068_ONUM748__thf__4__p_Obnd__ect) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.53  6 (all B_1 gg_TPTP_ind(scratc1947959276nd_eps(B_1))) # label(gsy_c_Scratch__tptp__translate__57548__4068_ONUM748__thf__4__p_Obnd__eps) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.53  7 (all B_1 all B_2 gg_TPTP_ind(scratc1980874083nd_ind(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__57548__4068_ONUM748__thf__4__p_Obnd__ind) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.53  8 (all B_1 all B_2 gg_bool(scratc1334897006d_l_ec(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__57548__4068_ONUM748__thf__4__p_Obnd__l__ec) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.53  9 (all B_1 all B_2 all B_3 gg_bool(scratc2030705460nd_or3(B_1,B_2,B_3))) # label(gsy_c_Scratch__tptp__translate__57548__4068_ONUM748__thf__4__p_Obnd__or3) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.53  10 (all B_1 all B_2 gg_bool(aa_bool_bool(B_1,B_2))) # label(gsy_c_aa_001t__HOL__Obool_001t__HOL__Obool) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.53  11 (all B_1 all B_2 gg_bool(aa_TPTP_ind_bool(B_1,B_2))) # label(gsy_c_aa_001t__TPTP____Interpret__Oind_001t__HOL__Obool) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.53  12 (all B_1 all B_2 gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(B_1,B_2))) # label(gsy_c_aa_001t__TPTP____Interpret__Oind_001t__TPTP____Interpret__Oind) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.53  13 (all B_1 all B_2 gg_bool(aa_fun171081125l_bool(B_1,B_2))) # label(gsy_c_aa_001t__fun_It__TPTP____Interpret__Oind_Mt__HOL__Obool_J_001t__HOL__Obool) # label(hypothesis) # label(non_clause).  [assumption].
% 1.16/1.53  14 (all B_1 all B_2 gg_TPTP_ind(aa_fun1431113780TP_ind(B_1,B_2))) # label(gsy_c_aa_001t__fun_It__TPTP____Interpret__Oind_Mt__HOL__Obool_J_001t__TPTP____Interpret__Oind) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.53  15 (all B_1 all B_2 gg_TPTP_ind(aa_fun277296641TP_ind(B_1,B_2))) # label(gsy_c_aa_001t__fun_It__TPTP____Interpret__Oind_Mt__TPTP____Interpret__Oind_J_001t__TPTP____Interpret__Oind) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.53  16 (all B_1 gg_bool(fEx_TPTP_ind(B_1))) # label(gsy_c_fEx_001t__TPTP____Interpret__Oind) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.53  17 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1467263528d_n_pf(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1466607550d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(aa_TPTP_ind_TPTP_ind(scratc2022640810nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1938976177nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(aa_TPTP_ind_TPTP_ind(scratc2022640810nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1938976177nd_den,X)))),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1938976177nd_den,X)),aa_TPTP_ind_TPTP_ind(scratc1938976177nd_den,Xa)))) # label(fact_def__n__pf) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.53  18 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058067713lesseq,X),Xa)) <-> pp(aa_bool_bool(scratc1335553011d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889601393_lessf,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,X),Xa))))) # label(fact_def__lesseq) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.53  19 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439552_moreq,X),Xa)) <-> pp(aa_bool_bool(scratc1335553011d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439541_moref,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,X),Xa))))) # label(fact_def__moreq) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.53  20 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889601393_lessf,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(aa_TPTP_ind_TPTP_ind(scratc2022640810nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1938976177nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(aa_TPTP_ind_TPTP_ind(scratc2022640810nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1938976177nd_den,X)))))) # label(fact_def__lessf) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.53  21 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439541_moref,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(aa_TPTP_ind_TPTP_ind(scratc2022640810nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1938976177nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(aa_TPTP_ind_TPTP_ind(scratc2022640810nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1938976177nd_den,X)))))) # label(fact_def__moref) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.53  22 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(aa_TPTP_ind_TPTP_ind(scratc2022640810nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1938976177nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(aa_TPTP_ind_TPTP_ind(scratc2022640810nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1938976177nd_den,X)))))) # label(fact_def__n__eq) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.53  23 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc511701263eft_f2(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc1390969603d_left(X,Xa,Xb),aa_TPTP_ind_TPTP_ind(scratc511701262eft_f1(X,Xa,Xb),Xc))) # label(fact_def__left__f2) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.53  24 (all X all Xa all Xb scratc511701262eft_f1(X,Xa,Xb) = scratc1390969603d_left(X,Xb,Xa)) # label(fact_def__left__f1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.53  25 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1012058048_right(X,Xa,Xb),Xc) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2038270365_Sigma,aa_TPTP_ind_TPTP_ind(scratc858408580_d_1to,Xb)),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ac(Xa),Xb),Xc))) # label(fact_def__right) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.53  26 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1390969603d_left(X,Xa,Xb),Xc) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2038270365_Sigma,aa_TPTP_ind_TPTP_ind(scratc858408580_d_1to,Xb)),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ad(Xa),Xb),Xc))) # label(fact_def__left) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  27 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1797528812ght1to(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc1718350012d_outn(aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(X),aa_TPTP_ind_TPTP_ind(scratc1980874093nd_inn(Xa),Xb)))) # label(fact_def__right1to) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  28 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc2081637353eft1to(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc1718350012d_outn(X),aa_TPTP_ind_TPTP_ind(scratc1980874093nd_inn(Xa),Xb))) # label(fact_def__left1to) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  29 (all X aa_TPTP_ind_TPTP_ind(scratc104196786d_xout,X) = aa_TPTP_ind_TPTP_ind(scratc1718350012d_outn(X),X)) # label(fact_def__xout) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  30 (all X aa_TPTP_ind_TPTP_ind(scratc1534791397d_1out,X) = aa_TPTP_ind_TPTP_ind(scratc1718350012d_outn(X),scratc754632063nd_n_1)) # label(fact_def__d__1out) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  31 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc215115381air_q0(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1095345403_pair1(X),aa_TPTP_ind_TPTP_ind(scratc457194557first1(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1087522369econd1(X),Xa))) # label(fact_def__pair__q0) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  32 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1087522369econd1(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Xa),scratc1463196404d_n_2t)) # label(fact_def__second1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  33 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc457194557first1(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Xa),scratc1463130805d_n_1t)) # label(fact_def__first1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  34 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1095345403_pair1(X),Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2038270365_Sigma,aa_TPTP_ind_TPTP_ind(scratc858408580_d_1to,scratc754632064nd_n_2)),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ae(X),Xa),Xb))) # label(fact_def__pair1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  35 (all X aa_TPTP_ind_TPTP_ind(scratc788713589r1type,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc806939713d_d_Pi,aa_TPTP_ind_TPTP_ind(scratc858408580_d_1to,scratc754632064nd_n_2)),aTP_Lamm_af(X))) # label(fact_def__pair1type) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  36 (all X scratc1980874093nd_inn(X) = scratc1948143982d_e_in(scratc2021328837nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ag,X))) # label(fact_def__inn) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  37 (all X scratc1718350012d_outn(X) = scratc2030902322nd_out(scratc2021328837nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ag,X))) # label(fact_def__outn) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  38 (all X aa_TPTP_ind_TPTP_ind(scratc858408580_d_1to,X) = aa_fun1431113780TP_ind(scratc1138315766_d_Sep(scratc2021328837nd_nat),aa_TPT43085870d_bool(aTP_Lamm_ag,X))) # label(fact_def__d__1to) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  39 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1467066739d_n_mn(X),Xa) = scratc1980874083nd_ind(scratc2021328837nd_nat,aa_TPT43085870d_bool(scratc1208545476ffprop(X),Xa))) # label(fact_def__n__mn) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  40 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2033438500_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(X),Xa)),Xb)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(X),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Xa),Xb)))))) # label(fact_def__d__431__prop1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  41 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1445076325_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(X),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Xa),Xb))),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(X),Xb)))))) # label(fact_def__d__430__prop1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  42 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1051172635_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Xa),X))))) # label(fact_def__d__429__prop1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  43 (all X scratc1467525937d_n_ts(X) = aa_TPT1424761345TP_ind(scratc707531083bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1193075210_times,X))) # label(fact_def__n__ts) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  44 (all X aa_TPTP_ind_TPTP_ind(scratc1193075210_times,X) = scratc1980874083nd_ind(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc806939713d_d_Pi,scratc2021328837nd_nat),aTP_Lamm_ah),aa_TPT43085870d_bool(scratc462810461_prop2,X))) # label(fact_def__times) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  45 (all X aa_TPTP_ind_TPTP_ind(scratc380797333_428_g,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2038270365_Sigma,scratc2021328837nd_nat),aTP_Lamm_ai(X))) # label(fact_def__d__428__g) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  46 (all X (pp(aa_TPTP_ind_bool(scratc462810463_prop4,X)) <-> pp(aa_fun171081125l_bool(scratc193745444l_some(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc806939713d_d_Pi,scratc2021328837nd_nat),aTP_Lamm_ah)),aa_TPT43085870d_bool(scratc462810461_prop2,X))))) # label(fact_def__d__428__prop4) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  47 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc462810461_prop2,X),Xa)) <-> pp(scratc1254567215_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Xa),scratc754632063nd_n_1)),X),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc462810460_prop1,X),Xa))))) # label(fact_def__d__428__prop2) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  48 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc462810460_prop1,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc679541039_n_all,aa_TPT43085870d_bool(aTP_Lamm_ak(X),Xa))))) # label(fact_def__d__428__prop1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  49 (all X all Xa (pp(aa_TPTP_ind_bool(scratc2013592118nd_min(X),Xa)) <-> pp(scratc1254567215_d_and(aa_TPTP_ind_bool(scratc1467001128d_n_lb(X),Xa),aa_TPTP_ind_bool(X,Xa))))) # label(fact_def__min) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  50 (all X all Xa (pp(aa_TPTP_ind_bool(scratc1467001128d_n_lb(X),Xa)) <-> pp(aa_fun171081125l_bool(scratc679541039_n_all,aa_TPT43085870d_bool(scratc1732458677lbprop(X),Xa))))) # label(fact_def__n__lb) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  51 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1732458677lbprop(X),Xa),Xb)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1980808496nd_imp,aa_TPTP_ind_bool(X,Xb)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Xa),Xb))))) # label(fact_def__lbprop) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  52 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,X),Xa)) <-> pp(aa_bool_bool(scratc1335553011d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,X),Xa))))) # label(fact_def__lessis) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  53 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,X),Xa)) <-> pp(aa_bool_bool(scratc1335553011d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,X),Xa))))) # label(fact_def__moreis) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  54 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1004441599_prop1,X),Xa)) <-> pp(scratc2030705460nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,X),Xa),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,X),Xa),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,X),Xa))))) # label(fact_def__d__29__prop1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  55 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc937570086n_some,aa_TPT43085870d_bool(scratc1208545476ffprop(Xa),X))))) # label(fact_def__iii) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  56 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc937570086n_some,aa_TPT43085870d_bool(scratc1208545476ffprop(X),Xa))))) # label(fact_def__d__29__ii) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  57 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1208545476ffprop(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,X),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Xa),Xb))))) # label(fact_def__diffprop) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  58 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc416079424_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2021853628nd_nis,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(X),Xb))))) # label(fact_def__d__28__prop1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  59 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1975200897_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2021853628nd_nis,Xa),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(X),Xa))))) # label(fact_def__d__27__prop1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  60 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1386838722_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Xa),X))))) # label(fact_def__d__26__prop1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  61 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc798476547_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(X),Xa)),Xb)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(X),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Xa),Xb)))))) # label(fact_def__d__25__prop1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  62 (all X scratc1467263534d_n_pl(X) = aa_TPT1424761345TP_ind(scratc707531083bnd_ap,aa_TPTP_ind_TPTP_ind(scratc277165622d_plus,X))) # label(fact_def__n__pl) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  63 (all X aa_TPTP_ind_TPTP_ind(scratc277165622d_plus,X) = scratc1980874083nd_ind(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc806939713d_d_Pi,scratc2021328837nd_nat),aTP_Lamm_ah),aa_TPT43085870d_bool(scratc210114373_prop2,X))) # label(fact_def__plus) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  64 (all X aa_TPTP_ind_TPTP_ind(scratc303928189d_24_g,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2038270365_Sigma,scratc2021328837nd_nat),aTP_Lamm_al(X))) # label(fact_def__d__24__g) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  65 (all X (pp(aa_TPTP_ind_bool(scratc1529863733_prop4,X)) <-> pp(aa_fun171081125l_bool(scratc193745444l_some(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc806939713d_d_Pi,scratc2021328837nd_nat),aTP_Lamm_ah)),aa_TPT43085870d_bool(scratc210114373_prop2,X))))) # label(fact_def__prop4) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  66 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1529863732_prop3(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,X),Xb)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Xa),Xb))))) # label(fact_def__prop3) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  67 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc210114373_prop2,X),Xa)) <-> pp(scratc1254567215_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Xa),scratc754632063nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,X)),aa_TPTP_ind_bool(scratc210114372_prop1,Xa))))) # label(fact_def__d__24__prop2) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  68 (all X (pp(aa_TPTP_ind_bool(scratc210114372_prop1,X)) <-> pp(aa_fun171081125l_bool(scratc679541039_n_all,aa_TPT43085870d_bool(aTP_Lamm_am,X))))) # label(fact_def__d__24__prop1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  69 (all X (pp(aa_TPTP_ind_bool(scratc1769235845_prop1,X)) <-> pp(aa_bool_bool(scratc1335553011d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,X),scratc754632063nd_n_1)),aa_fun171081125l_bool(scratc937570086n_some,aa_TPT43085870d_bool(aTP_Lamm_an,X)))))) # label(fact_def__d__23__prop1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  70 (all X (pp(aa_TPTP_ind_bool(scratc1180873670_prop1,X)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2021853628nd_nis,aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,X)),X)))) # label(fact_def__d__22__prop1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  71 (all X (pp(aa_TPTP_ind_bool(scratc1544586868_cond2,X)) <-> pp(aa_fun171081125l_bool(scratc679541039_n_all,aa_TPT43085870d_bool(aTP_Lamm_ao,X))))) # label(fact_def__cond2) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  72 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2021853628nd_nis,X),Xa)) <-> pp(scratc1362032395_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,X),Xa))))) # label(fact_def__nis) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  73 (all X all Xa all Xb all Xc all Xd scratc521926339indeq2(X,Xa,Xb,Xc,Xd) = aa_TPT1424761345TP_ind(scratc1076385071_indeq(X,Xa,Xb),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1117569601d_11_i(X,Xa,Xb),Xc),Xd))) # label(fact_def__indeq2) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  74 (all X all Xa all Xb scratc1117569601d_11_i(X,Xa,Xb) = scratc1076385071_indeq(X,Xa,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc806939713d_d_Pi,X),aTP_Lamm_af(Xb)))) # label(fact_def__d__11__i) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  75 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc738416490fixfu2(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_aq,X)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_fun987228051d_bool(aTP_Lamm_au(X),Xa),Xb),Xc))))) # label(fact_def__fixfu2) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  76 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1076385071_indeq(X,Xa,Xb),Xc),Xd) = scratc1980874083nd_ind(Xb,aa_TPT43085870d_bool(scratc1529863731_prop2(X,Xa,Xb,Xc),Xd))) # label(fact_def__indeq) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  77 (all X all Xa all Xb all Xc all Xd all Xe (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1529863731_prop2(X,Xa,Xb,Xc),Xd),Xe)) <-> pp(aa_fun171081125l_bool(scratc193745444l_some(X),aa_TPT43085870d_bool(scratc757436999_prop1(X,Xa,Xb,Xc,Xd),Xe))))) # label(fact_def__prop2) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  78 (all X all Xa all Xb all Xc all Xd all Xe all Xf (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc757436999_prop1(X,Xa,Xb,Xc,Xd),Xe),Xf)) <-> pp(scratc1254567215_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc338405951d_esti(X),Xf),aa_TPTP_ind_TPTP_ind(scratc824700924_ecect(X,Xa),Xd)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1948143987d_e_is(Xb),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Xc),Xf)),Xe))))) # label(fact_def__d__10__prop1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  79 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc362502856_fixfu(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_aq,X)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_fun987228051d_bool(aTP_Lamm_aw(X),Xa),Xb),Xc))))) # label(fact_def__fixfu) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  80 (all X all Xa scratc824700924_ecect(X,Xa) = scratc1948143982d_e_in(aa_TPTP_ind_TPTP_ind(scratc1400956297_power,X),scratc1468732935d_anec(X,Xa))) # label(fact_def__ecect) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  81 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1135241139ectelt(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc1250443016ectset(X,Xa),aa_TPTP_ind_TPTP_ind(scratc825291315_ecelt(X,Xa),Xb))) # label(fact_def__ectelt) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  82 (all X all Xa scratc1250443016ectset(X,Xa) = scratc2030902322nd_out(aa_TPTP_ind_TPTP_ind(scratc1400956297_power,X),scratc1468732935d_anec(X,Xa))) # label(fact_def__ectset) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  83 (all X all Xa scratc1947106490nd_ect(X,Xa) = aa_fun1431113780TP_ind(scratc1138315766_d_Sep(aa_TPTP_ind_TPTP_ind(scratc1400956297_power,X)),scratc1468732935d_anec(X,Xa))) # label(fact_def__ect) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  84 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(scratc1468732935d_anec(X,Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc193745444l_some(X),aa_TPT43085870d_bool(scratc1947106486nd_ecp(X,Xa),Xb))))) # label(fact_def__anec) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  85 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1947106486nd_ecp(X,Xa),Xb),Xc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1948143987d_e_is(aa_TPTP_ind_TPTP_ind(scratc1400956297_power,X)),Xb),aa_TPTP_ind_TPTP_ind(scratc825291315_ecelt(X,Xa),Xc))))) # label(fact_def__ecp) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  86 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc825291315_ecelt(X,Xa),Xb) = aa_fun1431113780TP_ind(scratc1138315766_d_Sep(X),aa_TPT43085870d_bool(Xa,Xb))) # label(fact_def__ecelt) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  87 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1356560362unmore(X,Xa),Xb) = aa_fun1431113780TP_ind(scratc1138315766_d_Sep(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ay(X),Xa),Xb))) # label(fact_def__unmore) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  88 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc745481289etprop(X,Xa),Xb),Xc)) <-> pp(scratc1254567215_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc338405951d_esti(X),Xc),Xa),scratc1362032395_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc338405951d_esti(X),Xc),Xb)))))) # label(fact_def__nissetprop) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  89 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1619068217t_disj(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1914650853nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_az(X),Xa),Xb))))) # label(fact_def__st__disj) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  90 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1270848394d_incl(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1914650853nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ba(X),Xa),Xb))))) # label(fact_def__incl) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  91 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc212243516nempty,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc193745444l_some(X),aa_TPT43085870d_bool(aTP_Lamm_bb(X),Xa))))) # label(fact_def__nonempty) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  92 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc132630065_empty,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_aq,X)),scratc2022247217nd_non(X,aa_TPT43085870d_bool(aTP_Lamm_bb(X),Xa)))))) # label(fact_def__empty) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  93 (all X scratc338405951d_esti(X) = scratc708055873bnd_in) # label(fact_def__esti) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  94 (all X all Xa (scratc1729831796d_r_ec(X,Xa) <-> (pp(X) -> pp(scratc1362032395_d_not(Xa))))) # label(fact_def__r__ec) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  95 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(scratc1725400858hangef(X,Xa,Xb,Xc),Xd) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2038270365_Sigma,X),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aa_TPT1781712639TP_ind(aTP_Lamm_bc(X),Xb),Xc),Xd))) # label(fact_def__changef) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  96 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1118469813wissel(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2038270365_Sigma,X),scratc684850976sel_wb(X,Xa,Xb))) # label(fact_def__wissel) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  97 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc684850976sel_wb(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc1981267678nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1948143987d_e_is(X),Xc),Xb),X,Xa),aa_TPTP_ind_TPTP_ind(scratc684850975sel_wa(X,Xa,Xb),Xc))) # label(fact_def__wissel__wb) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  98 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc684850975sel_wa(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc1981267678nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1948143987d_e_is(X),Xc),Xa),X,Xb),Xc)) # label(fact_def__wissel__wa) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  99 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1981267678nd_ite(X,Xa,Xb),Xc) = scratc1980874083nd_ind(Xa,aa_TPT43085870d_bool(scratc1529863730_prop1(X,Xa,Xb),Xc))) # label(fact_def__ite) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  100 (all X all Xa all Xb all Xc all Xd (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1529863730_prop1(X,Xa,Xb),Xc),Xd)) <-> pp(scratc1254567215_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1980808496nd_imp,X),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1948143987d_e_is(Xa),Xd),Xb)),aa_bool_bool(aa_boo1142376798l_bool(scratc1980808496nd_imp,scratc1362032395_d_not(X)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1948143987d_e_is(Xa),Xd),Xc)))))) # label(fact_def__prop1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  101 (all X all Xa scratc1877685744second(X,Xa) = scratc1529470136_proj1) # label(fact_def__second) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  102 (all X all Xa scratc313786612_first(X,Xa) = scratc1529470135_proj0) # label(fact_def__first) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  103 (all X all Xa scratc1203212770d_pair(X,Xa) = scratc185501878d_pair) # label(fact_def__d__pair) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  104 (all X all Xa scratc2030902322nd_out(X,Xa) = scratc495244102d_soft(aa_fun1431113780TP_ind(scratc1138315766_d_Sep(X),Xa),X,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2038270365_Sigma,aa_fun1431113780TP_ind(scratc1138315766_d_Sep(X),Xa)),scratc1948143982d_e_in(X,Xa)))) # label(fact_def__out) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  105 (all X all Xa all Xb (gg_TPTP_ind(Xb) -> aa_TPTP_ind_TPTP_ind(scratc1948143982d_e_in(X,Xa),Xb) = Xb)) # label(fact_def__e__in) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  106 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(scratc859732479_inj_h(X,Xa,Xb,Xc),Xd) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2038270365_Sigma,X),aa_TPT1424761345TP_ind(aTP_Lamm_bd(Xc),Xd))) # label(fact_def__inj__h) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  107 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1272094769d_invf(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2038270365_Sigma,Xa),scratc495244102d_soft(X,Xa,Xb))) # label(fact_def__invf) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  108 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc778145865ective(X),Xa),Xb)) <-> pp(scratc1254567215_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc594426635ective(X),Xa),Xb),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc281226584ective(X),Xa),Xb))))) # label(fact_def__bijective) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  109 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc281226584ective(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1914650853nd_all(Xa),aa_TPT43085870d_bool(scratc271144543_image(X,Xa),Xb))))) # label(fact_def__surjective) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  110 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1711441908nverse(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2038270365_Sigma,Xa),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_be(X),Xa),Xb))) # label(fact_def__inverse) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  111 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc495244102d_soft(X,Xa,Xb),Xc) = scratc1980874083nd_ind(X,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bf(Xa),Xb),Xc))) # label(fact_def__soft) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  112 (all X all Xa scratc1275831300d_tofs(X,Xa) = scratc707531083bnd_ap) # label(fact_def__tofs) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  113 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc271144543_image(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc193745444l_some(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bf(Xa),Xb),Xc))))) # label(fact_def__image) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  114 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc594426635ective(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1914650853nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bh(X),Xa),Xb))))) # label(fact_def__injective) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  115 (all X all Xa scratc1980874083nd_ind(X,Xa) = scratc1947959276nd_eps(aa_fun1584354236d_bool(aTP_Lamm_bi(X),Xa))) # label(fact_def__ind) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  116 (all X all Xa (pp(aa_fun171081125l_bool(scratc2030443114nd_one(X),Xa)) <-> pp(scratc1254567215_d_and(scratc2008168734_amone(X,Xa),aa_fun171081125l_bool(scratc193745444l_some(X),Xa))))) # label(fact_def__one) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  117 (all X all Xa (pp(scratc2008168734_amone(X,Xa)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_aq,X)),aa_fun1584354236d_bool(aTP_Lamm_bk(X),Xa))))) # label(fact_def__amone) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  118 (all X scratc1948143987d_e_is(X) = fequal_TPTP_ind) # label(fact_def__e__is) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  119 (all X all Xa all Xb (scratc306831606_orec3(X,Xa,Xb) <-> pp(scratc1254567215_d_and(scratc2030705460nd_or3(X,Xa,Xb),scratc1947106425nd_ec3(X,Xa,Xb))))) # label(fact_def__orec3) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  120 (all X all Xa all Xb (pp(scratc1947106425nd_ec3(X,Xa,Xb)) <-> scratc1468667288d_and3(scratc1334897006d_l_ec(X,Xa),scratc1334897006d_l_ec(Xa,Xb),scratc1334897006d_l_ec(Xb,X)))) # label(fact_def__ec3) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  121 (all X all Xa all Xb (scratc1468667288d_and3(X,Xa,Xb) <-> pp(scratc1254567215_d_and(X,scratc1254567215_d_and(Xa,Xb))))) # label(fact_def__and3) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  122 (all X all Xa all Xb (pp(scratc2030705460nd_or3(X,Xa,Xb)) <-> pp(aa_bool_bool(scratc1335553011d_l_or(X),aa_bool_bool(scratc1335553011d_l_or(Xa),Xb))))) # label(fact_def__or3) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  123 (all X all Xa (pp(aa_fun171081125l_bool(scratc193745444l_some(X),Xa)) <-> pp(scratc1362032395_d_not(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_aq,X)),scratc2022247217nd_non(X,Xa)))))) # label(fact_def__l__some) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  124 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(scratc2022247217nd_non(X,Xa),Xb)) <-> pp(scratc1362032395_d_not(aa_TPTP_ind_bool(Xa,Xb))))) # label(fact_def__non) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  125 (all X scratc1914650853nd_all(X) = scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_aq,X))) # label(fact_def__all) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  126 (all X all Xa (scratc1225017_l_iff(X,Xa) <-> pp(scratc1254567215_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1980808496nd_imp,X),Xa),aa_bool_bool(aa_boo1142376798l_bool(scratc1980808496nd_imp,Xa),X))))) # label(fact_def__l__iff) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  127 (all X all Xa (scratc1692581501d_orec(X,Xa) <-> pp(scratc1254567215_d_and(aa_bool_bool(scratc1335553011d_l_or(X),Xa),scratc1334897006d_l_ec(X,Xa))))) # label(fact_def__orec) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  128 (all X scratc1335553011d_l_or(X) = aa_boo1142376798l_bool(scratc1980808496nd_imp,scratc1362032395_d_not(X))) # label(fact_def__l__or) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  129 (all X all Xa (pp(scratc1254567215_d_and(X,Xa)) <-> pp(scratc1362032395_d_not(scratc1334897006d_l_ec(X,Xa))))) # label(fact_def__d__and) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  130 (all X all Xa (pp(scratc1334897006d_l_ec(X,Xa)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1980808496nd_imp,X),scratc1362032395_d_not(Xa))))) # label(fact_def__l__ec) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  131 scratc429040907bvious <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1980808496nd_imp,fFalse),fFalse)) # label(fact_def__obvious) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  132 (all X (scratc2095944770nd_wel(X) <-> pp(scratc1362032395_d_not(scratc1362032395_d_not(X))))) # label(fact_def__wel) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  133 (all X (pp(scratc1362032395_d_not(X)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1980808496nd_imp,X),fFalse)))) # label(fact_def__d__not) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  134 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc806939713d_d_Pi,X),Xa) = aa_fun1431113780TP_ind(scratc1138315766_d_Sep(aa_TPTP_ind_TPTP_ind(scratc1400956297_power,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2038270365_Sigma,X),aTP_Lamm_bl(Xa)))),aa_fun1913827119d_bool(aTP_Lamm_bm(X),Xa))) # label(fact_def__d__Pi) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  135 (all X (gg_TPTP_ind(X) -> (pp(aa_TPTP_ind_bool(scratc22460538pair_p,X)) <-> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc185501878d_pair,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,X),scratc2074132177ptyset)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,X),aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,scratc2074132177ptyset))) = X))) # label(fact_def__pair__p) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  136 (all X all Xa aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,X),Xa) = aa_fun277296641TP_ind(scratc1308941863eplSep(X,aa_TPT43085870d_bool(aTP_Lamm_bn,Xa)),scratc1529470136_proj1)) # label(fact_def__ap) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  137 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1947117309etprod(X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2038270365_Sigma,X),aTP_Lamm_af(Xa))) # label(fact_def__setprod) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  138 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2038270365_Sigma,X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc292089081munion,X),aTP_Lamm_bo(Xa))) # label(fact_def__d__Sigma) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  139 (all X aa_TPTP_ind_TPTP_ind(scratc1529470136_proj1,X) = aa_fun277296641TP_ind(scratc1308941863eplSep(X,aTP_Lamm_bp),scratc1155429161_d_Unj)) # label(fact_def__proj1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  140 (all X aa_TPTP_ind_TPTP_ind(scratc1529470135_proj0,X) = aa_fun277296641TP_ind(scratc1308941863eplSep(X,aTP_Lamm_bq),scratc1155429161_d_Unj)) # label(fact_def__proj0) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  141 (all X all Xa aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc185501878d_pair,X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1285946180nunion(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1780181483d_repl,X),scratc932548179d_Inj0)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1780181483d_repl,Xa),scratc932548180d_Inj1))) # label(fact_def__pair) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  142 (all X aa_TPTP_ind_TPTP_ind(scratc932548179d_Inj0,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1780181483d_repl,X),scratc932548180d_Inj1)) # label(fact_def__d__Inj0) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  143 (all X (pp(aa_TPTP_ind_bool(scratc6272171_nat_p,X)) <-> (all X1 (pp(aa_TPTP_ind_bool(X1,scratc2074132177ptyset)) -> ((all X2 (gg_TPTP_ind(X2) -> (pp(aa_TPTP_ind_bool(X1,X2)) -> pp(aa_TPTP_ind_bool(X1,aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,X2)))))) -> pp(aa_TPTP_ind_bool(X1,X))))))) # label(fact_def__nat__p) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  144 (all X aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,X) = aa_TPTP_ind_TPTP_ind(scratc1285946180nunion(X),aa_TPTP_ind_TPTP_ind(scratc107440503d_Sing,X))) # label(fact_def__ordsucc) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  145 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1036705443In_rec(X),Xa) = scratc1947959276nd_eps(aa_TPT43085870d_bool(scratc1907975204_rec_G(X),Xa))) # label(fact_def__d__In__rec) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  146 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1907975204_rec_G(X),Xa),Xb)) <-> (all X3 ((all X4 all X5 (gg_TPTP_ind(X4) -> ((all X6 (gg_TPTP_ind(X6) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X6),X4)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(X3,X6),aa_TPTP_ind_TPTP_ind(X5,X6)))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(X3,X4),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(X,X4),X5)))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(X3,Xa),Xb)))))) # label(fact_def__d__In__rec__G) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  147 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1202231722tminus(X),Xa) = aa_fun1431113780TP_ind(scratc1138315766_d_Sep(X),aa_TPT43085870d_bool(aTP_Lamm_bt,Xa))) # label(fact_def__setminus) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  148 (all X all Xa scratc1308941863eplSep(X,Xa) = aa_TPT494704832TP_ind(scratc1780181483d_repl,aa_fun1431113780TP_ind(scratc1138315766_d_Sep(X),Xa))) # label(fact_def__d__ReplSep) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  149 (all X all Xa aa_fun1431113780TP_ind(scratc1138315766_d_Sep(X),Xa) = aa_TPTP_ind_TPTP_ind(scratc708055865bnd_if(fEx_TPTP_ind(cOMBS_2003118649l_bool(cOMBB_658106424TP_ind(fconj,aa_TPT43085870d_bool(cOMBC_1555011498d_bool(scratc708055873bnd_in),X)),Xa)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1780181483d_repl,X),aa_fun1235454963TP_ind(aTP_Lamm_bu(X),Xa))),scratc2074132177ptyset)) # label(fact_def__d__Sep) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  150 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc292089081munion,X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1908218163_union,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1780181483d_repl,X),Xa))) # label(fact_def__famunion) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  151 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1285946180nunion(X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1908218163_union,aa_TPTP_ind_TPTP_ind(scratc1932756743_UPair(X),Xa))) # label(fact_def__binunion) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  152 (all X aa_TPTP_ind_TPTP_ind(scratc107440503d_Sing,X) = aa_TPTP_ind_TPTP_ind(scratc1932756743_UPair(X),X)) # label(fact_def__d__Sing) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  153 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1932756743_UPair(X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1780181483d_repl,aa_TPTP_ind_TPTP_ind(scratc1400956297_power,aa_TPTP_ind_TPTP_ind(scratc1400956297_power,scratc2074132177ptyset))),aa_TPT1424761345TP_ind(aTP_Lamm_bv(X),Xa))) # label(fact_def__d__UPair) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  154 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2019754455nd_nIn,X),Xa)) <-> -pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X),Xa)))) # label(fact_def__nIn) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  155 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc708055865bnd_if(X,Xa),Xb) = scratc1947959276nd_eps(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X),Xa),Xb))) # label(fact_def__if) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  156 (all X (pp(aa_TPTP_ind_bool(scratc59015456closed,X)) <-> pp(aa_TPTP_ind_bool(scratc1570285427closed,X)) & pp(aa_TPTP_ind_bool(scratc1735018441closed,X)) & pp(aa_TPTP_ind_bool(scratc551020483closed,X)))) # label(fact_def__d__ZF__closed) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  157 (all X (pp(aa_TPTP_ind_bool(scratc551020483closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X1),X)) -> (all X2 ((all X3 (gg_TPTP_ind(X3) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X3),X1)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,aa_TPTP_ind_TPTP_ind(X2,X3)),X))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1780181483d_repl,X1),X2)),X))))))))) # label(fact_def__d__Repl__closed) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  158 (all X (pp(aa_TPTP_ind_bool(scratc1735018441closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X1),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,aa_TPTP_ind_TPTP_ind(scratc1400956297_power,X1)),X))))))) # label(fact_def__d__Power__closed) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  159 (all X (pp(aa_TPTP_ind_bool(scratc1570285427closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X1),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,aa_TPTP_ind_TPTP_ind(scratc1908218163_union,X1)),X))))))) # label(fact_def__d__Union__closed) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  160 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc205791385d_Subq,X),Xa)) <-> (all X2 (gg_TPTP_ind(X2) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X2),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X2),Xa))))))) # label(fact_def__d__Subq) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  161 (all X all Xa (pp(aa_fun171081125l_bool(scratc1083084636all_of(X),Xa)) <-> (all X2 (gg_TPTP_ind(X2) -> (scratc119627965_is_of(X2,X) -> pp(aa_TPTP_ind_bool(Xa,X2))))))) # label(fact_def__all__of) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  162 (all X all Xa (scratc119627965_is_of(X,Xa) <-> pp(aa_TPTP_ind_bool(Xa,X)))) # label(fact_def__is__of) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  163 (all X0 (pp(aa_fun171081125l_bool(scratc937570086n_some,X0)) -> pp(aa_fun171081125l_bool(scratc795333300_n_one,scratc2013592118nd_min(X0))))) # label(fact_satz27a) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  164 (all X0 (pp(aa_fun171081125l_bool(scratc937570086n_some,X0)) -> pp(aa_fun171081125l_bool(scratc937570086n_some,scratc2013592118nd_min(X0))))) # label(fact_satz27) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  165 (all X0 pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_sg,X0)),aa_TPT43085870d_bool(aTP_Lamm_si,X0)))) # label(fact_isseti) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  166 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_aq,X0)),aa_fun1584354236d_bool(aTP_Lamm_sj(X0),X12)))) # label(fact_estie) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  167 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_aq,X0)),aa_fun1584354236d_bool(aTP_Lamm_sk(X0),X12)))) # label(fact_estii) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  168 (all X0 all X12 scratc119627965_is_of(aa_fun1431113780TP_ind(scratc1138315766_d_Sep(X0),X12),aa_TPT43085870d_bool(aTP_Lamm_sg,X0))) # label(fact_setof__p) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  169 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_aq,X0)),aa_TPT43085870d_bool(aTP_Lamm_sm(X0),X12)))) # label(fact_secondis1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  170 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_aq,X0)),aa_TPT43085870d_bool(aTP_Lamm_so(X0),X12)))) # label(fact_firstis1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  171 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_sp(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_sq(X0),X12)))) # label(fact_pairis1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  172 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_sp(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_sr(X0),X12)))) # label(fact_second__p) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  173 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_sp(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_ss(X0),X12)))) # label(fact_first__p) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  174 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_aq,X0)),aa_TPT43085870d_bool(aTP_Lamm_su(X0),X12)))) # label(fact_e__pair__p) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  175 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_aq,X0)),aa_fun1584354236d_bool(aTP_Lamm_sv(X0),X12)))) # label(fact_otax2) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  176 (all X0 all X12 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc594426635ective(aa_fun1431113780TP_ind(scratc1138315766_d_Sep(X0),X12)),X0),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2038270365_Sigma,aa_fun1431113780TP_ind(scratc1138315766_d_Sep(X0),X12)),scratc1948143982d_e_in(X0,X12))))) # label(fact_otax1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  177 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_fun1584354236d_bool(aTP_Lamm_sw(X0),X12)),aa_fun1584354236d_bool(aTP_Lamm_sx(X0),X12)))) # label(fact_e__inp) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  178 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_fun1584354236d_bool(aTP_Lamm_sw(X0),X12)),aa_fun1584354236d_bool(aTP_Lamm_sy(X0),X12)))) # label(fact_e__in__p) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  179 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_sz(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_tc(X0),X12)))) # label(fact_e__fisi) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  180 (all X0 all X12 (pp(aa_fun171081125l_bool(scratc2030443114nd_one(X0),X12)) -> pp(aa_TPTP_ind_bool(X12,scratc1980874083nd_ind(X0,X12))))) # label(fact_oneax) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  181 (all X0 all X12 (pp(aa_fun171081125l_bool(scratc2030443114nd_one(X0),X12)) -> scratc119627965_is_of(scratc1980874083nd_ind(X0,X12),aa_TPT43085870d_bool(aTP_Lamm_aq,X0)))) # label(fact_ind__p) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  182 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_aq,X0)),aa_fun1584354236d_bool(aTP_Lamm_te(X0),X12)))) # label(fact_e__isp) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  183 (all X0 pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_aq,X0)),aa_TPT43085870d_bool(aTP_Lamm_tf,X0)))) # label(fact_refis) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  184 (all X0 (scratc2095944770nd_wel(X0) -> pp(X0))) # label(fact_l__et) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  185 (all X0 all X12 all X22 all X32 (pp(X0) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc708055865bnd_if(X0,X22),X32))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X12),X22))))) # label(fact_k__If__In__then__E) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  186 (all X0 all X12 all X22 ((pp(X0) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X12),X22))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,aa_TPTP_ind_TPTP_ind(scratc708055865bnd_if(X0,X12),scratc2074132177ptyset)),aa_TPTP_ind_TPTP_ind(scratc708055865bnd_if(X0,X22),aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,scratc2074132177ptyset)))))) # label(fact_k__If__In__01) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  187 (all X0 all X12 all X22 ((all X33 (gg_TPTP_ind(X33) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X33),X0)) -> aa_TPTP_ind_TPTP_ind(X12,X33) = aa_TPTP_ind_TPTP_ind(X22,X33)))) -> aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2038270365_Sigma,X0),X12) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2038270365_Sigma,X0),X22))) # label(fact_xi__ext) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  188 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc806939713d_d_Pi,X0),X12))) -> (all X32 (gg_TPTP_ind(X32) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X32),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc806939713d_d_Pi,X0),X12))) -> ((all X42 (gg_TPTP_ind(X42) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X42),X0)) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,X22),X42) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,X32),X42)))) -> X22 = X32))))))) # label(fact_k__Pi__ext) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  189 (all X0 all X12 all X22 all X32 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc806939713d_d_Pi,X0),X12))) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X32),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,X22),X32)),aa_TPTP_ind_TPTP_ind(X12,X32)))))) # label(fact_ap__Pi) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  190 (all X0 all X12 all X22 ((all X33 (gg_TPTP_ind(X33) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X33),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,aa_TPTP_ind_TPTP_ind(X22,X33)),aa_TPTP_ind_TPTP_ind(X12,X33)))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2038270365_Sigma,X0),X22)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc806939713d_d_Pi,X0),X12))))) # label(fact_lam__Pi) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  191 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X22),X0)) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2038270365_Sigma,X0),X12)),X22) = aa_TPTP_ind_TPTP_ind(X12,X22))) # label(fact_beta) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  192 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2038270365_Sigma,X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,aa_TPTP_ind_TPTP_ind(scratc1529470136_proj1,X22)),aa_TPTP_ind_TPTP_ind(X12,aa_TPTP_ind_TPTP_ind(scratc1529470135_proj0,X22)))))) # label(fact_proj1__Sigma) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  193 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2038270365_Sigma,X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,aa_TPTP_ind_TPTP_ind(scratc1529470135_proj0,X22)),X0)))) # label(fact_proj0__Sigma) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  194 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2038270365_Sigma,X0),X12))) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc185501878d_pair,aa_TPTP_ind_TPTP_ind(scratc1529470135_proj0,X22)),aa_TPTP_ind_TPTP_ind(scratc1529470136_proj1,X22)) = X22))) # label(fact_proj__Sigma__eta) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  195 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2038270365_Sigma,X0),X12))) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc185501878d_pair,aa_TPTP_ind_TPTP_ind(scratc1529470135_proj0,X22)),aa_TPTP_ind_TPTP_ind(scratc1529470136_proj1,X22)) = X22 & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,aa_TPTP_ind_TPTP_ind(scratc1529470135_proj0,X22)),X0)) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,aa_TPTP_ind_TPTP_ind(scratc1529470136_proj1,X22)),aa_TPTP_ind_TPTP_ind(X12,aa_TPTP_ind_TPTP_ind(scratc1529470135_proj0,X22))))))) # label(fact_k__Sigma__eta__proj0__proj1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  196 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X22),X0)) -> (all X32 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X32),aa_TPTP_ind_TPTP_ind(X12,X22))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc185501878d_pair,X22),X32)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2038270365_Sigma,X0),X12))))))) # label(fact_pair__Sigma) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  197 (all X0 all X12 (gg_TPTP_ind(X12) -> aa_TPTP_ind_TPTP_ind(scratc1529470136_proj1,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc185501878d_pair,X0),X12)) = X12)) # label(fact_proj1__pair__eq) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  198 (all X0 all X12 (gg_TPTP_ind(X0) -> aa_TPTP_ind_TPTP_ind(scratc1529470135_proj0,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc185501878d_pair,X0),X12)) = X0)) # label(fact_proj0__pair__eq) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  199 (all X0 (pp(aa_TPTP_ind_bool(scratc6272171_nat_p,X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X0),scratc699125349_omega)))) # label(fact_nat__p__omega) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  200 (all X0 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X0),scratc699125349_omega)) -> pp(aa_TPTP_ind_bool(scratc6272171_nat_p,X0)))) # label(fact_omega__nat__p) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  201 (all X0 (gg_TPTP_ind(X0) -> (pp(aa_TPTP_ind_bool(scratc6272171_nat_p,X0)) -> X0 = scratc2074132177ptyset | (exists X13 (gg_TPTP_ind(X13) & pp(aa_TPTP_ind_bool(scratc6272171_nat_p,X13)) & X0 = aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,X13)))))) # label(fact_nat__inv) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  202 (all X0 (pp(aa_TPTP_ind_bool(X0,scratc2074132177ptyset)) -> ((all X13 (gg_TPTP_ind(X13) -> (pp(aa_TPTP_ind_bool(scratc6272171_nat_p,X13)) -> (pp(aa_TPTP_ind_bool(X0,X13)) -> pp(aa_TPTP_ind_bool(X0,aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,X13))))))) -> (all X12 (pp(aa_TPTP_ind_bool(scratc6272171_nat_p,X12)) -> pp(aa_TPTP_ind_bool(X0,X12))))))) # label(fact_nat__ind) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  203 (all X0 (pp(aa_TPTP_ind_bool(scratc6272171_nat_p,X0)) -> pp(aa_TPTP_ind_bool(scratc6272171_nat_p,aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,X0))))) # label(fact_nat__ordsucc) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  204 (all X0 all X12 (gg_TPTP_ind(X0) & gg_TPTP_ind(X12) -> (aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,X0) = aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,X12) -> X0 = X12))) # label(fact_ordsucc__inj) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  205 (all X0 aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,X0) != scratc2074132177ptyset) # label(fact_neq__ordsucc__0) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  206 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X22),aa_fun1431113780TP_ind(scratc1138315766_d_Sep(X0),X12))) -> pp(aa_TPTP_ind_bool(X12,X22)))) # label(fact_k__SepE2) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  207 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X22),aa_fun1431113780TP_ind(scratc1138315766_d_Sep(X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X22),X0)))) # label(fact_k__SepE1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.54  208 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X22),X0)) -> (pp(aa_TPTP_ind_bool(X12,X22)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X22),aa_fun1431113780TP_ind(scratc1138315766_d_Sep(X0),X12)))))) # label(fact_k__SepI) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  209 (all X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X0),aa_TPTP_ind_TPTP_ind(scratc1400956297_power,X0)))) # label(fact_k__Self__In__Power) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  210 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc205791385d_Subq,X12),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1400956297_power,X0))))) # label(fact_k__PowerI) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  211 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1400956297_power,X0))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc205791385d_Subq,X12),X0)))) # label(fact_k__PowerE) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  212 (all X0 all X12 all X22 (gg_TPTP_ind(X12) & gg_TPTP_ind(X22) -> aa_TPTP_ind_TPTP_ind(scratc708055865bnd_if(X0,X12),X22) = X12 | aa_TPTP_ind_TPTP_ind(scratc708055865bnd_if(X0,X12),X22) = X22)) # label(fact_if__i__or) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  213 (all X0 all X12 all X22 (gg_TPTP_ind(X12) -> (pp(X0) -> aa_TPTP_ind_TPTP_ind(scratc708055865bnd_if(X0,X12),X22) = X12))) # label(fact_if__i__1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  214 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (-pp(X0) -> aa_TPTP_ind_TPTP_ind(scratc708055865bnd_if(X0,X12),X22) = X22))) # label(fact_if__i__0) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  215 (all X0 all X12 all X22 (gg_TPTP_ind(X12) & gg_TPTP_ind(X22) -> pp(X0) & aa_TPTP_ind_TPTP_ind(scratc708055865bnd_if(X0,X12),X22) = X12 | -pp(X0) & aa_TPTP_ind_TPTP_ind(scratc708055865bnd_if(X0,X12),X22) = X22)) # label(fact_if__i__correct) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  216 (all X0 pp(aa_TPTP_ind_bool(scratc59015456closed,aa_TPTP_ind_TPTP_ind(scratc439328953univof,X0)))) # label(fact_k__UnivOf__ZF__closed) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  217 (all X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X0),aa_TPTP_ind_TPTP_ind(scratc439328953univof,X0)))) # label(fact_k__UnivOf__In) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  218 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1780181483d_repl,X0),X12))) <-> (exists X3 (gg_TPTP_ind(X3) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X3),X0)) & X22 = aa_TPTP_ind_TPTP_ind(X12,X3)))))) # label(fact_k__ReplEq) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  219 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1400956297_power,X0))) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc205791385d_Subq,X12),X0)))) # label(fact_k__PowerEq) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  220 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1908218163_union,X0))) <-> (exists X2 (gg_TPTP_ind(X2) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X12),X2)) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X2),X0)))))) # label(fact_k__UnionEq) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  221 -(exists X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X0),scratc2074132177ptyset))) # label(fact_k__EmptyAx) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  222 (all X0 ((all X13 (gg_TPTP_ind(X13) -> ((all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X22),X13)) -> pp(aa_TPTP_ind_bool(X0,X22)))) -> pp(aa_TPTP_ind_bool(X0,X13))))) -> (all X14 pp(aa_TPTP_ind_bool(X0,X14))))) # label(fact_k__In__ind) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  223 (all X0 all X12 (gg_TPTP_ind(X0) & gg_TPTP_ind(X12) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc205791385d_Subq,X0),X12)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc205791385d_Subq,X12),X0)) -> X0 = X12)))) # label(fact_set__ext) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  224 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rv,Uu)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2021853628nd_nis,Uu),scratc754632063nd_n_1)) -> pp(aa_fun171081125l_bool(scratc937570086n_some,aa_TPT43085870d_bool(aTP_Lamm_an,Uu)))))) # label(fact_ATP_Olambda__1) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  225 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ru,Uu)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2021853628nd_nis,Uu),scratc754632063nd_n_1)) -> pp(aa_fun171081125l_bool(scratc795333300_n_one,aa_TPT43085870d_bool(aTP_Lamm_an,Uu)))))) # label(fact_ATP_Olambda__2) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  226 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rr,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),scratc754632063nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uu))))) # label(fact_ATP_Olambda__3) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  227 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jt,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),scratc754632063nd_n_1)),Uu)))) # label(fact_ATP_Olambda__4) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  228 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ro,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(scratc754632063nd_n_1),Uu)),aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uu))))) # label(fact_ATP_Olambda__5) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  229 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jq,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(scratc754632063nd_n_1),Uu)),Uu)))) # label(fact_ATP_Olambda__6) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  230 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rt,Uu)) <-> pp(aa_fun171081125l_bool(scratc2030443114nd_one(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc806939713d_d_Pi,scratc2021328837nd_nat),aTP_Lamm_ah)),aa_TPT43085870d_bool(aTP_Lamm_rs,Uu))))) # label(fact_ATP_Olambda__7) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  231 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jv,Uu)) <-> pp(aa_fun171081125l_bool(scratc2030443114nd_one(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc806939713d_d_Pi,scratc2021328837nd_nat),aTP_Lamm_ah)),aa_TPT43085870d_bool(aTP_Lamm_ju,Uu))))) # label(fact_ATP_Olambda__8) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  232 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sb,Uu)) <-> (pp(aa_TPTP_ind_bool(scratc1544586867_cond1,Uu)) -> (pp(aa_TPTP_ind_bool(scratc1544586868_cond2,Uu)) -> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_sa,Uu))))))) # label(fact_ATP_Olambda__9) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  233 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rl,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),scratc754632063nd_n_1))))) # label(fact_ATP_Olambda__10) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  234 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ri,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(scratc754632063nd_n_1),Uu))))) # label(fact_ATP_Olambda__11) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  235 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oi,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uu)),Uu)))) # label(fact_ATP_Olambda__12) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  236 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rw,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2021853628nd_nis,aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uu)),Uu)))) # label(fact_ATP_Olambda__13) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  237 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sf,Uu)) <-> scratc119627965_is_of(aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uu),aTP_Lamm_bx))) # label(fact_ATP_Olambda__14) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  238 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kn,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uu)),scratc754632063nd_n_1)))) # label(fact_ATP_Olambda__15) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  239 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_se,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2021853628nd_nis,aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uu)),scratc754632063nd_n_1)))) # label(fact_ATP_Olambda__16) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  240 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jn,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),scratc754632063nd_n_1))))) # label(fact_ATP_Olambda__17) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  241 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jk,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(scratc754632063nd_n_1),Uu))))) # label(fact_ATP_Olambda__18) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  242 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oh,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uu),aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uu))))) # label(fact_ATP_Olambda__19) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  243 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rz,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,Uu),aa_TPTP_ind_TPTP_ind(scratc1400956297_power,scratc2021328837nd_nat))))) # label(fact_ATP_Olambda__20) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  244 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fq,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,Uu),Uu)))) # label(fact_ATP_Olambda__21) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  245 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ko,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,Uu),scratc754632063nd_n_1)))) # label(fact_ATP_Olambda__22) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  246 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_a,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,Uu),scratc1109485258d_frac)))) # label(fact_ATP_Olambda__23) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  247 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_bx,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,Uu),scratc2021328837nd_nat)))) # label(fact_ATP_Olambda__24) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  248 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sd,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_sc,Uu))))) # label(fact_ATP_Olambda__25) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  249 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ry,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_rx,Uu))))) # label(fact_ATP_Olambda__26) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  250 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_rp,Uu))))) # label(fact_ATP_Olambda__27) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  251 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rn,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_rm,Uu))))) # label(fact_ATP_Olambda__28) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  252 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_rj,Uu))))) # label(fact_ATP_Olambda__29) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  253 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_rg,Uu))))) # label(fact_ATP_Olambda__30) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  254 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rf,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_re,Uu))))) # label(fact_ATP_Olambda__31) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  255 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_rb,Uu))))) # label(fact_ATP_Olambda__32) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  256 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ra,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_qz,Uu))))) # label(fact_ATP_Olambda__33) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  257 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qy,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_qx,Uu))))) # label(fact_ATP_Olambda__34) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  258 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_qu,Uu))))) # label(fact_ATP_Olambda__35) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  259 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qs,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_qr,Uu))))) # label(fact_ATP_Olambda__36) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  260 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_qp,Uu))))) # label(fact_ATP_Olambda__37) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  261 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qm,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ql,Uu))))) # label(fact_ATP_Olambda__38) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  262 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_qj,Uu))))) # label(fact_ATP_Olambda__39) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  263 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qi,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_qh,Uu))))) # label(fact_ATP_Olambda__40) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  264 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qg,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_qf,Uu))))) # label(fact_ATP_Olambda__41) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  265 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qe,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_qd,Uu))))) # label(fact_ATP_Olambda__42) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  266 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_qb,Uu))))) # label(fact_ATP_Olambda__43) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  267 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qa,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_pz,Uu))))) # label(fact_ATP_Olambda__44) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  268 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_py,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_px,Uu))))) # label(fact_ATP_Olambda__45) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  269 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_pv,Uu))))) # label(fact_ATP_Olambda__46) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  270 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pu,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_pt,Uu))))) # label(fact_ATP_Olambda__47) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  271 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ps,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_pr,Uu))))) # label(fact_ATP_Olambda__48) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  272 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_pp,Uu))))) # label(fact_ATP_Olambda__49) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  273 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_po,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_pn,Uu))))) # label(fact_ATP_Olambda__50) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  274 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pm,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_pl,Uu))))) # label(fact_ATP_Olambda__51) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  275 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_pj,Uu))))) # label(fact_ATP_Olambda__52) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  276 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pi,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ph,Uu))))) # label(fact_ATP_Olambda__53) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  277 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pg,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_pf,Uu))))) # label(fact_ATP_Olambda__54) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  278 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pe,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_pd,Uu))))) # label(fact_ATP_Olambda__55) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  279 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pb,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_pa,Uu))))) # label(fact_ATP_Olambda__56) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  280 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oy,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ox,Uu))))) # label(fact_ATP_Olambda__57) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  281 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ov,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ou,Uu))))) # label(fact_ATP_Olambda__58) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  282 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_os,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_or,Uu))))) # label(fact_ATP_Olambda__59) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  283 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_op,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_oo,Uu))))) # label(fact_ATP_Olambda__60) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  284 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_om,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ol,Uu))))) # label(fact_ATP_Olambda__61) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  285 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ok,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_oj,Uu))))) # label(fact_ATP_Olambda__62) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  286 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_og,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_of,Uu))))) # label(fact_ATP_Olambda__63) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  287 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_od,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_oc,Uu))))) # label(fact_ATP_Olambda__64) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  288 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oa,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_nz,Uu))))) # label(fact_ATP_Olambda__65) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  289 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_nw,Uu))))) # label(fact_ATP_Olambda__66) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  290 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nu,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_nt,Uu))))) # label(fact_ATP_Olambda__67) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  291 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nr,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_nq,Uu))))) # label(fact_ATP_Olambda__68) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  292 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_no,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_nn,Uu))))) # label(fact_ATP_Olambda__69) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  293 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_nj,Uu))))) # label(fact_ATP_Olambda__70) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  294 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ng,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_nf,Uu))))) # label(fact_ATP_Olambda__71) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  295 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_nb,Uu))))) # label(fact_ATP_Olambda__72) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  296 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_my,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_mx,Uu))))) # label(fact_ATP_Olambda__73) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  297 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_mu,Uu))))) # label(fact_ATP_Olambda__74) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  298 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ms,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_mr,Uu))))) # label(fact_ATP_Olambda__75) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  299 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mp,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_mo,Uu))))) # label(fact_ATP_Olambda__76) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  300 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mm,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ml,Uu))))) # label(fact_ATP_Olambda__77) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  301 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mj,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_mi,Uu))))) # label(fact_ATP_Olambda__78) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  302 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mg,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_mf,Uu))))) # label(fact_ATP_Olambda__79) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  303 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_md,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_mc,Uu))))) # label(fact_ATP_Olambda__80) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  304 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ma,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_lz,Uu))))) # label(fact_ATP_Olambda__81) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  305 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_lw,Uu))))) # label(fact_ATP_Olambda__82) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  306 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lu,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_lt,Uu))))) # label(fact_ATP_Olambda__83) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  307 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_lp,Uu))))) # label(fact_ATP_Olambda__84) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  308 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lm,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ll,Uu))))) # label(fact_ATP_Olambda__85) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  309 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_li,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_lh,Uu))))) # label(fact_ATP_Olambda__86) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  310 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_le,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ld,Uu))))) # label(fact_ATP_Olambda__87) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  311 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_la,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_kz,Uu))))) # label(fact_ATP_Olambda__88) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  312 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_kv,Uu))))) # label(fact_ATP_Olambda__89) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  313 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ks,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_kr,Uu))))) # label(fact_ATP_Olambda__90) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  314 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kl,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_kk,Uu))))) # label(fact_ATP_Olambda__91) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  315 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kj,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ki,Uu))))) # label(fact_ATP_Olambda__92) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  316 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_kg,Uu))))) # label(fact_ATP_Olambda__93) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  317 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kf,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ke,Uu))))) # label(fact_ATP_Olambda__94) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  318 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kd,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_kc,Uu))))) # label(fact_ATP_Olambda__95) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  319 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kb,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ka,Uu))))) # label(fact_ATP_Olambda__96) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  320 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_jy,Uu))))) # label(fact_ATP_Olambda__97) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  321 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_jw,Uu))))) # label(fact_ATP_Olambda__98) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  322 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_js,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_jr,Uu))))) # label(fact_ATP_Olambda__99) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  323 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jp,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_jo,Uu))))) # label(fact_ATP_Olambda__100) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  324 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jm,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_jl,Uu))))) # label(fact_ATP_Olambda__101) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  325 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jj,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ji,Uu))))) # label(fact_ATP_Olambda__102) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  326 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_jg,Uu))))) # label(fact_ATP_Olambda__103) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  327 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jf,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_je,Uu))))) # label(fact_ATP_Olambda__104) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  328 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_jb,Uu))))) # label(fact_ATP_Olambda__105) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  329 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_iz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_iy,Uu))))) # label(fact_ATP_Olambda__106) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  330 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_iw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_iv,Uu))))) # label(fact_ATP_Olambda__107) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  331 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_it,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_is,Uu))))) # label(fact_ATP_Olambda__108) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  332 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_iq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ip,Uu))))) # label(fact_ATP_Olambda__109) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  333 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_in,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_im,Uu))))) # label(fact_ATP_Olambda__110) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  334 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ik,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ij,Uu))))) # label(fact_ATP_Olambda__111) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  335 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ih,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ig,Uu))))) # label(fact_ATP_Olambda__112) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  336 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_id,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ic,Uu))))) # label(fact_ATP_Olambda__113) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  337 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_hy,Uu))))) # label(fact_ATP_Olambda__114) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  338 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_hu,Uu))))) # label(fact_ATP_Olambda__115) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  339 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hr,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_hq,Uu))))) # label(fact_ATP_Olambda__116) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  340 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ho,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_hn,Uu))))) # label(fact_ATP_Olambda__117) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  341 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hl,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_hk,Uu))))) # label(fact_ATP_Olambda__118) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  342 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hi,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_hh,Uu))))) # label(fact_ATP_Olambda__119) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  343 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hf,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_he,Uu))))) # label(fact_ATP_Olambda__120) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  344 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_hb,Uu))))) # label(fact_ATP_Olambda__121) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  345 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_gy,Uu))))) # label(fact_ATP_Olambda__122) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  346 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_gv,Uu))))) # label(fact_ATP_Olambda__123) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  347 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gs,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_gr,Uu))))) # label(fact_ATP_Olambda__124) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  348 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_go,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_gn,Uu))))) # label(fact_ATP_Olambda__125) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  349 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_gj,Uu))))) # label(fact_ATP_Olambda__126) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  350 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gg,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_gf,Uu))))) # label(fact_ATP_Olambda__127) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  351 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_gb,Uu))))) # label(fact_ATP_Olambda__128) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  352 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fy,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_fx,Uu))))) # label(fact_ATP_Olambda__129) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  353 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fu,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ft,Uu))))) # label(fact_ATP_Olambda__130) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  354 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_fj,Uu))))) # label(fact_ATP_Olambda__131) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  355 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fi,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_fh,Uu))))) # label(fact_ATP_Olambda__132) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  356 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fg,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ff,Uu))))) # label(fact_ATP_Olambda__133) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  357 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fd,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_fc,Uu))))) # label(fact_ATP_Olambda__134) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  358 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cd,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_cc,Uu))))) # label(fact_ATP_Olambda__135) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  359 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ca,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_bz,Uu))))) # label(fact_ATP_Olambda__136) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  360 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fp,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fo,Uu))))) # label(fact_ATP_Olambda__137) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  361 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fn,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fm,Uu))))) # label(fact_ATP_Olambda__138) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  362 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fa,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ez,Uu))))) # label(fact_ATP_Olambda__139) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  363 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ey,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ex,Uu))))) # label(fact_ATP_Olambda__140) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  364 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ew,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ev,Uu))))) # label(fact_ATP_Olambda__141) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  365 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_eu,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_et,Uu))))) # label(fact_ATP_Olambda__142) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  366 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_es,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_er,Uu))))) # label(fact_ATP_Olambda__143) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  367 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_eq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ep,Uu))))) # label(fact_ATP_Olambda__144) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  368 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_em,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_el,Uu))))) # label(fact_ATP_Olambda__145) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  369 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ei,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_eh,Uu))))) # label(fact_ATP_Olambda__146) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  370 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_eg,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ef,Uu))))) # label(fact_ATP_Olambda__147) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  371 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ee,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ed,Uu))))) # label(fact_ATP_Olambda__148) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  372 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ec,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_eb,Uu))))) # label(fact_ATP_Olambda__149) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  373 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ea,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dz,Uu))))) # label(fact_ATP_Olambda__150) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  374 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dy,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dx,Uu))))) # label(fact_ATP_Olambda__151) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  375 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dv,Uu))))) # label(fact_ATP_Olambda__152) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  376 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_du,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dt,Uu))))) # label(fact_ATP_Olambda__153) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  377 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ds,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dr,Uu))))) # label(fact_ATP_Olambda__154) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  378 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_do,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dn,Uu))))) # label(fact_ATP_Olambda__155) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  379 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dj,Uu))))) # label(fact_ATP_Olambda__156) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  380 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_di,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dh,Uu))))) # label(fact_ATP_Olambda__157) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  381 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dg,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_df,Uu))))) # label(fact_ATP_Olambda__158) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  382 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dd,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dc,Uu))))) # label(fact_ATP_Olambda__159) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  383 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_da,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cz,Uu))))) # label(fact_ATP_Olambda__160) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  384 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cw,Uu))))) # label(fact_ATP_Olambda__161) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  385 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cu,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ct,Uu))))) # label(fact_ATP_Olambda__162) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  386 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cr,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cq,Uu))))) # label(fact_ATP_Olambda__163) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  387 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ck,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cj,Uu))))) # label(fact_ATP_Olambda__164) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  388 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ch,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cg,Uu))))) # label(fact_ATP_Olambda__165) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  389 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ab,Uu)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,Uu))))) # label(fact_ATP_Olambda__166) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  390 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_co,Uu)) <-> pp(aa_fun171081125l_bool(scratc193745444l_some(scratc1109485258d_frac),aa_TPT43085870d_bool(aTP_Lamm_cn,Uu))))) # label(fact_ATP_Olambda__167) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  391 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cm,Uu)) <-> pp(aa_fun171081125l_bool(scratc193745444l_some(scratc1109485258d_frac),aa_TPT43085870d_bool(aTP_Lamm_cl,Uu))))) # label(fact_ATP_Olambda__168) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  392 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_km,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,scratc754632063nd_n_1),aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uu))))) # label(fact_ATP_Olambda__169) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  393 (all Uu aa_TPT494704832TP_ind(aTP_Lamm_br,Uu) = aa_TPT494704832TP_ind(scratc1780181483d_repl,aa_TPTP_ind_TPTP_ind(scratc1202231722tminus(Uu),aa_TPTP_ind_TPTP_ind(scratc107440503d_Sing,scratc2074132177ptyset)))) # label(fact_ATP_Olambda__170) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  394 (all Uu (gg_TPTP_ind(Uu) -> (pp(aa_TPTP_ind_bool(aTP_Lamm_ap,Uu)) <-> Uu != scratc2074132177ptyset))) # label(fact_ATP_Olambda__171) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  395 (all Uu (gg_TPTP_ind(Uu) -> (pp(aa_TPTP_ind_bool(aTP_Lamm_bp,Uu)) <-> (exists X2 (gg_TPTP_ind(X2) & aa_TPTP_ind_TPTP_ind(scratc932548180d_Inj1,X2) = Uu))))) # label(fact_ATP_Olambda__172) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  396 (all Uu (gg_TPTP_ind(Uu) -> (pp(aa_TPTP_ind_bool(aTP_Lamm_bq,Uu)) <-> (exists X2 (gg_TPTP_ind(X2) & aa_TPTP_ind_TPTP_ind(scratc932548179d_Inj0,X2) = Uu))))) # label(fact_ATP_Olambda__173) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  397 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qh,Uu),Uua)) <-> scratc306831606_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uu),Uua)))) # label(fact_ATP_Olambda__174) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  398 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ez,Uu),Uua)) <-> scratc306831606_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439541_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889601393_lessf,Uu),Uua)))) # label(fact_ATP_Olambda__175) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  399 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qf,Uu),Uua)) <-> pp(scratc2030705460nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__176) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  400 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ex,Uu),Uua)) <-> pp(scratc2030705460nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439541_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889601393_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__177) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  401 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qd,Uu),Uua)) <-> pp(scratc1947106425nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__178) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  402 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ev,Uu),Uua)) <-> pp(scratc1947106425nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439541_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889601393_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__179) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  403 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qp,Uu),Uua)) <-> scratc306831606_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc937570086n_some,aa_TPT43085870d_bool(aTP_Lamm_qn(Uu),Uua)),aa_fun171081125l_bool(scratc937570086n_some,aa_TPT43085870d_bool(aTP_Lamm_qo(Uu),Uua))))) # label(fact_ATP_Olambda__180) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  404 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ql,Uu),Uua)) <-> pp(scratc2030705460nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc937570086n_some,aa_TPT43085870d_bool(scratc1208545476ffprop(Uu),Uua)),aa_fun171081125l_bool(scratc937570086n_some,aa_TPT43085870d_bool(scratc1208545476ffprop(Uua),Uu)))))) # label(fact_ATP_Olambda__181) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  405 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qj,Uu),Uua)) <-> pp(scratc1947106425nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc937570086n_some,aa_TPT43085870d_bool(scratc1208545476ffprop(Uu),Uua)),aa_fun171081125l_bool(scratc937570086n_some,aa_TPT43085870d_bool(scratc1208545476ffprop(Uua),Uu)))))) # label(fact_ATP_Olambda__182) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  406 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tf,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1948143987d_e_is(Uu),Uua),Uua)))) # label(fact_ATP_Olambda__183) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  407 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fh,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1466607550d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(aa_TPTP_ind_TPTP_ind(scratc2022640810nd_num,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1938976177nd_den,Uu)),Uua))),Uu)))) # label(fact_ATP_Olambda__184) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  408 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ji,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uua)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uu)),Uua))))) # label(fact_ATP_Olambda__185) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  409 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jl,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uua)),Uu)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uua)))))) # label(fact_ATP_Olambda__186) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  410 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rs,Uu),Uua)) <-> pp(scratc1254567215_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Uua),scratc754632063nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uu)),aa_fun171081125l_bool(scratc679541039_n_all,aa_TPT43085870d_bool(aTP_Lamm_am,Uua)))))) # label(fact_ATP_Olambda__187) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  411 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jy,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uua),scratc754632063nd_n_1)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,Uua),Uu))))) # label(fact_ATP_Olambda__188) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  412 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ju,Uu),Uua)) <-> pp(scratc1254567215_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Uua),scratc754632063nd_n_1)),Uu),aa_fun171081125l_bool(scratc679541039_n_all,aa_TPT43085870d_bool(aTP_Lamm_ak(Uu),Uua)))))) # label(fact_ATP_Olambda__189) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  413 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sc,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__190) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  414 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jo,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uua)),Uua))))) # label(fact_ATP_Olambda__191) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  415 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jw,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uua)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,Uua),Uu))))) # label(fact_ATP_Olambda__192) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  416 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rm,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uua)))))) # label(fact_ATP_Olambda__193) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  417 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kc,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uua),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),scratc754632063nd_n_1))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Uua),Uu))))) # label(fact_ATP_Olambda__194) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  418 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jr,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uua)),Uu))))) # label(fact_ATP_Olambda__195) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  419 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ka,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uua),aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uu))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Uua),Uu))))) # label(fact_ATP_Olambda__196) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  420 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rp,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uua)))))) # label(fact_ATP_Olambda__197) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  421 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_am,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Uu),aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Uu),Uua)))))) # label(fact_ATP_Olambda__198) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  422 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kg,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uua),scratc754632063nd_n_1)),Uu))))) # label(fact_ATP_Olambda__199) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  423 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rx,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2021853628nd_nis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2021853628nd_nis,aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uua)))))) # label(fact_ATP_Olambda__200) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  424 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ao,Uu),Uua)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1980808496nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804343d_n_in,Uua),Uu)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804343d_n_in,aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uua)),Uu))))) # label(fact_ATP_Olambda__201) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  425 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ke,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uua)),Uu))))) # label(fact_ATP_Olambda__202) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  426 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kk,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,Uua),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),scratc754632063nd_n_1)))))) # label(fact_ATP_Olambda__203) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  427 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ki,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,Uua),aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uu)))))) # label(fact_ATP_Olambda__204) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  428 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jg,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uua),Uu))))) # label(fact_ATP_Olambda__205) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  429 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rb,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uua),Uu))))) # label(fact_ATP_Olambda__206) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  430 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1467263528d_n_pf(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1467263528d_n_pf(Uua),Uu))))) # label(fact_ATP_Olambda__207) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  431 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qb,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uua),Uu))))) # label(fact_ATP_Olambda__208) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  432 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_px,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Uua),Uu))))) # label(fact_ATP_Olambda__209) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  433 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pv,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,Uua),Uu))))) # label(fact_ATP_Olambda__210) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  434 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dh,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058067713lesseq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439552_moreq,Uua),Uu))))) # label(fact_ATP_Olambda__211) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  435 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dj,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439552_moreq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058067713lesseq,Uua),Uu))))) # label(fact_ATP_Olambda__212) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  436 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_et,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439541_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889601393_lessf,Uua),Uu))))) # label(fact_ATP_Olambda__213) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  437 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_er,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889601393_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439541_moref,Uua),Uu))))) # label(fact_ATP_Olambda__214) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  438 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fo,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,Uua),Uu))))) # label(fact_ATP_Olambda__215) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  439 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pz,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uua),Uu))))) # label(fact_ATP_Olambda__216) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  440 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cj,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889601393_lessf,Uu),Uua)) -> pp(aa_fun171081125l_bool(scratc193745444l_some(scratc1109485258d_frac),aa_TPT43085870d_bool(aTP_Lamm_ci(Uu),Uua)))))) # label(fact_ATP_Olambda__217) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  441 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pl,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uu),Uua)) -> pp(scratc1362032395_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Uu),Uua)))))) # label(fact_ATP_Olambda__218) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  442 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pt,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,Uu),Uua)) -> pp(scratc1362032395_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uu),Uua)))))) # label(fact_ATP_Olambda__219) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  443 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pr,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Uu),Uua)) -> pp(scratc1362032395_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uu),Uua)))))) # label(fact_ATP_Olambda__220) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  444 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ef,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058067713lesseq,Uu),Uua)) -> pp(scratc1362032395_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439541_moref,Uu),Uua)))))) # label(fact_ATP_Olambda__221) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  445 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eh,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439552_moreq,Uu),Uua)) -> pp(scratc1362032395_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889601393_lessf,Uu),Uua)))))) # label(fact_ATP_Olambda__222) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  446 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dz,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439541_moref,Uu),Uua)) -> pp(scratc1362032395_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058067713lesseq,Uu),Uua)))))) # label(fact_ATP_Olambda__223) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  447 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dx,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889601393_lessf,Uu),Uua)) -> pp(scratc1362032395_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439552_moreq,Uu),Uua)))))) # label(fact_ATP_Olambda__224) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  448 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pj,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uu),Uua)) -> pp(scratc1362032395_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,Uu),Uua)))))) # label(fact_ATP_Olambda__225) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  449 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ol,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uua)),Uu)))) # label(fact_ATP_Olambda__226) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  450 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_ai(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Uu),Uua)),Uua)) # label(fact_ATP_Olambda__227) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  451 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_bo(Uu),Uua) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1780181483d_repl,aa_TPTP_ind_TPTP_ind(Uu,Uua)),aa_TPT1424761345TP_ind(scratc185501878d_pair,Uua))) # label(fact_ATP_Olambda__228) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  452 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_si,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_sg,Uu)),aa_TPT43085870d_bool(aTP_Lamm_sh(Uu),Uua))))) # label(fact_ATP_Olambda__229) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  453 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rg,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uua))),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uu)),Uua))))) # label(fact_ATP_Olambda__230) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  454 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rj,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uua))),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uua)))))) # label(fact_ATP_Olambda__231) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  455 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pp,Uu),Uua)) <-> (pp(scratc1362032395_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Uu),Uua))))) # label(fact_ATP_Olambda__232) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  456 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ph,Uu),Uua)) <-> (pp(scratc1362032395_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__233) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  457 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pf,Uu),Uua)) <-> (pp(scratc1362032395_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__234) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  458 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dt,Uu),Uua)) <-> (pp(scratc1362032395_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058067713lesseq,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439541_moref,Uu),Uua))))) # label(fact_ATP_Olambda__235) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  459 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dv,Uu),Uua)) <-> (pp(scratc1362032395_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439552_moreq,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889601393_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__236) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  460 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ed,Uu),Uua)) <-> (pp(scratc1362032395_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439541_moref,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058067713lesseq,Uu),Uua))))) # label(fact_ATP_Olambda__237) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  461 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eb,Uu),Uua)) <-> (pp(scratc1362032395_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889601393_lessf,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439552_moreq,Uu),Uua))))) # label(fact_ATP_Olambda__238) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  462 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pn,Uu),Uua)) <-> (pp(scratc1362032395_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,Uu),Uua))))) # label(fact_ATP_Olambda__239) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  463 (all Uu all Uua aa_fun277296641TP_ind(aa_TPT494704832TP_ind(aTP_Lamm_bs,Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1285946180nunion(aa_TPTP_ind_TPTP_ind(scratc107440503d_Sing,scratc2074132177ptyset)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1780181483d_repl,Uu),Uua))) # label(fact_ATP_Olambda__240) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  464 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fj,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,Uu),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1466607550d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(aa_TPTP_ind_TPTP_ind(scratc2022640810nd_num,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1938976177nd_den,Uu)),Uua)))))) # label(fact_ATP_Olambda__241) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  465 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qz,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2021853628nd_nis,Uua),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uua))))) # label(fact_ATP_Olambda__242) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.55  466 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oj,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uu),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uua))))) # label(fact_ATP_Olambda__243) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  467 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_an,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uua))))) # label(fact_ATP_Olambda__244) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  468 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sg,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,Uua),aa_TPTP_ind_TPTP_ind(scratc1400956297_power,Uu))))) # label(fact_ATP_Olambda__245) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  469 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ag,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Uua),Uu)))) # label(fact_ATP_Olambda__246) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  470 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cn,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439541_moref,Uua),Uu)))) # label(fact_ATP_Olambda__247) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  471 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889601393_lessf,Uua),Uu)))) # label(fact_ATP_Olambda__248) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  472 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sa,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804343d_n_in,Uua),Uu)))) # label(fact_ATP_Olambda__249) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  473 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bt,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2019754455nd_nIn,Uua),Uu)))) # label(fact_ATP_Olambda__250) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  474 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aq,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,Uua),Uu)))) # label(fact_ATP_Olambda__251) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  475 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_re,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_rd(Uu),Uua))))) # label(fact_ATP_Olambda__252) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  476 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_qw(Uu),Uua))))) # label(fact_ATP_Olambda__253) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  477 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_qt(Uu),Uua))))) # label(fact_ATP_Olambda__254) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  478 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_pc(Uu),Uua))))) # label(fact_ATP_Olambda__255) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  479 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pa,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_oz(Uu),Uua))))) # label(fact_ATP_Olambda__256) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  480 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ox,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ow(Uu),Uua))))) # label(fact_ATP_Olambda__257) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  481 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ou,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ot(Uu),Uua))))) # label(fact_ATP_Olambda__258) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  482 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_or,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_oq(Uu),Uua))))) # label(fact_ATP_Olambda__259) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  483 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oo,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_on(Uu),Uua))))) # label(fact_ATP_Olambda__260) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  484 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_of,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_oe(Uu),Uua))))) # label(fact_ATP_Olambda__261) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  485 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ob(Uu),Uua))))) # label(fact_ATP_Olambda__262) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  486 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ny(Uu),Uua))))) # label(fact_ATP_Olambda__263) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  487 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_nv(Uu),Uua))))) # label(fact_ATP_Olambda__264) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  488 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ns(Uu),Uua))))) # label(fact_ATP_Olambda__265) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  489 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_np(Uu),Uua))))) # label(fact_ATP_Olambda__266) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  490 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_nm(Uu),Uua))))) # label(fact_ATP_Olambda__267) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  491 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ni(Uu),Uua))))) # label(fact_ATP_Olambda__268) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  492 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ne(Uu),Uua))))) # label(fact_ATP_Olambda__269) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  493 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_na(Uu),Uua))))) # label(fact_ATP_Olambda__270) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  494 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_mw(Uu),Uua))))) # label(fact_ATP_Olambda__271) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  495 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_mt(Uu),Uua))))) # label(fact_ATP_Olambda__272) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  496 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_mq(Uu),Uua))))) # label(fact_ATP_Olambda__273) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  497 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mo,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_mn(Uu),Uua))))) # label(fact_ATP_Olambda__274) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  498 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ml,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_mk(Uu),Uua))))) # label(fact_ATP_Olambda__275) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  499 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mi,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_mh(Uu),Uua))))) # label(fact_ATP_Olambda__276) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  500 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_me(Uu),Uua))))) # label(fact_ATP_Olambda__277) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  501 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_mb(Uu),Uua))))) # label(fact_ATP_Olambda__278) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  502 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ly(Uu),Uua))))) # label(fact_ATP_Olambda__279) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  503 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_lv(Uu),Uua))))) # label(fact_ATP_Olambda__280) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  504 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ls(Uu),Uua))))) # label(fact_ATP_Olambda__281) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  505 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_lo(Uu),Uua))))) # label(fact_ATP_Olambda__282) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  506 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ll,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_lk(Uu),Uua))))) # label(fact_ATP_Olambda__283) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  507 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_lg(Uu),Uua))))) # label(fact_ATP_Olambda__284) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  508 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ld,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_lc(Uu),Uua))))) # label(fact_ATP_Olambda__285) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  509 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ky(Uu),Uua))))) # label(fact_ATP_Olambda__286) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  510 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ku(Uu),Uua))))) # label(fact_ATP_Olambda__287) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  511 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_kq(Uu),Uua))))) # label(fact_ATP_Olambda__288) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  512 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_je,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_jd(Uu),Uua))))) # label(fact_ATP_Olambda__289) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  513 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ja(Uu),Uua))))) # label(fact_ATP_Olambda__290) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  514 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ix(Uu),Uua))))) # label(fact_ATP_Olambda__291) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  515 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_iu(Uu),Uua))))) # label(fact_ATP_Olambda__292) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  516 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_is,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ir(Uu),Uua))))) # label(fact_ATP_Olambda__293) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  517 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ip,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_io(Uu),Uua))))) # label(fact_ATP_Olambda__294) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  518 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_im,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_il(Uu),Uua))))) # label(fact_ATP_Olambda__295) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  519 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ij,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ii(Uu),Uua))))) # label(fact_ATP_Olambda__296) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  520 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ig,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_if(Uu),Uua))))) # label(fact_ATP_Olambda__297) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  521 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ic,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ib(Uu),Uua))))) # label(fact_ATP_Olambda__298) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  522 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_hx(Uu),Uua))))) # label(fact_ATP_Olambda__299) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  523 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ht(Uu),Uua))))) # label(fact_ATP_Olambda__300) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  524 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_hp(Uu),Uua))))) # label(fact_ATP_Olambda__301) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  525 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_hm(Uu),Uua))))) # label(fact_ATP_Olambda__302) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  526 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_hj(Uu),Uua))))) # label(fact_ATP_Olambda__303) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  527 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_hg(Uu),Uua))))) # label(fact_ATP_Olambda__304) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  528 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_he,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_hd(Uu),Uua))))) # label(fact_ATP_Olambda__305) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  529 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ha(Uu),Uua))))) # label(fact_ATP_Olambda__306) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  530 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_gx(Uu),Uua))))) # label(fact_ATP_Olambda__307) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  531 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_gu(Uu),Uua))))) # label(fact_ATP_Olambda__308) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  532 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_gq(Uu),Uua))))) # label(fact_ATP_Olambda__309) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  533 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_gm(Uu),Uua))))) # label(fact_ATP_Olambda__310) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  534 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_gi(Uu),Uua))))) # label(fact_ATP_Olambda__311) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  535 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ge(Uu),Uua))))) # label(fact_ATP_Olambda__312) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  536 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_ga(Uu),Uua))))) # label(fact_ATP_Olambda__313) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  537 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_fw(Uu),Uua))))) # label(fact_ATP_Olambda__314) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  538 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ft,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_fs(Uu),Uua))))) # label(fact_ATP_Olambda__315) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  539 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ff,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_fe(Uu),Uua))))) # label(fact_ATP_Olambda__316) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  540 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_fb(Uu),Uua))))) # label(fact_ATP_Olambda__317) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  541 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_cb(Uu),Uua))))) # label(fact_ATP_Olambda__318) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  542 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aTP_Lamm_by(Uu),Uua))))) # label(fact_ATP_Olambda__319) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  543 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fl(Uu),Uua))))) # label(fact_ATP_Olambda__320) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  544 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ep,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_eo(Uu),Uua))))) # label(fact_ATP_Olambda__321) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  545 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_el,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ek(Uu),Uua))))) # label(fact_ATP_Olambda__322) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  546 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dq(Uu),Uua))))) # label(fact_ATP_Olambda__323) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  547 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dm(Uu),Uua))))) # label(fact_ATP_Olambda__324) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  548 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_de(Uu),Uua))))) # label(fact_ATP_Olambda__325) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  549 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_db(Uu),Uua))))) # label(fact_ATP_Olambda__326) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  550 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cy(Uu),Uua))))) # label(fact_ATP_Olambda__327) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  551 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cv(Uu),Uua))))) # label(fact_ATP_Olambda__328) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  552 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ct,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cs(Uu),Uua))))) # label(fact_ATP_Olambda__329) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  553 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cp(Uu),Uua))))) # label(fact_ATP_Olambda__330) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  554 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf(Uu),Uua))))) # label(fact_ATP_Olambda__331) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  555 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qr,Uu),Uua)) <-> pp(scratc2008168734_amone(scratc2021328837nd_nat,aa_TPT43085870d_bool(aTP_Lamm_qn(Uu),Uua))))) # label(fact_ATP_Olambda__332) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  556 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_al(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Uu),Uua))) # label(fact_ATP_Olambda__333) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  557 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_bl(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1908218163_union,aa_TPTP_ind_TPTP_ind(Uu,Uua))) # label(fact_ATP_Olambda__334) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  558 (all Uu all Uua (gg_TPTP_ind(Uua) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bn,Uu),Uua)) <-> (exists X3 (gg_TPTP_ind(X3) & Uua = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc185501878d_pair,Uu),X3)))))) # label(fact_ATP_Olambda__335) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  559 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sq(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1948143987d_e_is(aa_TPTP_ind_TPTP_ind(scratc1947117309etprod(Uu),Uua)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1203212770d_pair(Uu,Uua),aa_TPTP_ind_TPTP_ind(scratc313786612_first(Uu,Uua),Uub)),aa_TPTP_ind_TPTP_ind(scratc1877685744second(Uu,Uua),Uub))),Uub)))) # label(fact_ATP_Olambda__336) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  560 (all Uu all Uua all Uub aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aTP_Lamm_bv(Uu),Uua),Uub) = aa_TPTP_ind_TPTP_ind(scratc708055865bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,scratc2074132177ptyset),Uub),Uu),Uua)) # label(fact_ATP_Olambda__337) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  561 (all Uu all Uua all Uub aa_TPTP_ind_TPTP_ind(aa_fun1235454963TP_ind(aTP_Lamm_bu(Uu),Uua),Uub) = aa_TPTP_ind_TPTP_ind(scratc708055865bnd_if(aa_TPTP_ind_bool(Uua,Uub),Uub),scratc1947959276nd_eps(aa_fun1584354236d_bool(aTP_Lamm_bi(Uu),Uua)))) # label(fact_ATP_Olambda__338) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  562 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bb(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc338405951d_esti(Uu),Uub),Uua)))) # label(fact_ATP_Olambda__339) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  563 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_sj(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc338405951d_esti(Uu),Uub),aa_fun1431113780TP_ind(scratc1138315766_d_Sep(Uu),Uua))) -> pp(aa_TPTP_ind_bool(Uua,Uub))))) # label(fact_ATP_Olambda__340) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  564 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sh(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1270848394d_incl(Uu),Uua),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1270848394d_incl(Uu),Uub),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1948143987d_e_is(aa_TPTP_ind_TPTP_ind(scratc1400956297_power,Uu)),Uua),Uub)))))) # label(fact_ATP_Olambda__341) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  565 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sr(Uu),Uua),Uub)) <-> scratc119627965_is_of(aa_TPTP_ind_TPTP_ind(scratc1877685744second(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_aq,Uua)))) # label(fact_ATP_Olambda__342) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  566 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ss(Uu),Uua),Uub)) <-> scratc119627965_is_of(aa_TPTP_ind_TPTP_ind(scratc313786612_first(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_aq,Uu)))) # label(fact_ATP_Olambda__343) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  567 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_sy(Uu),Uua),Uub)) <-> scratc119627965_is_of(aa_TPTP_ind_TPTP_ind(scratc1948143982d_e_in(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_aq,Uu)))) # label(fact_ATP_Olambda__344) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  568 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tc(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_sz(Uu),Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tb(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__345) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  569 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1467263528d_n_pf(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1466607550d_n_fr,Uu),Uub)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1466607550d_n_fr,Uua),Uub))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1466607550d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uua)),Uub))))) # label(fact_ATP_Olambda__346) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  570 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fb(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1466607550d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uua),Uub))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1466607550d_n_fr,Uu),Uua))))) # label(fact_ATP_Olambda__347) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  571 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hd(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__348) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  572 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mk(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__349) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  573 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mb(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__350) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  574 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ha(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__351) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  575 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qt(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uua),Uub))))) # label(fact_ATP_Olambda__352) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  576 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mh(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__353) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  577 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ly(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__354) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  578 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__355) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  579 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_me(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__356) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  580 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lv(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__357) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  581 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1466607550d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467263528d_n_pf(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1466607550d_n_fr,Uu),Uub)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1466607550d_n_fr,Uua),Uub)))))) # label(fact_ATP_Olambda__358) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  582 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ja(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__359) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  583 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rd(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__360) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  584 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jd(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uua),Uub))),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uub)))))) # label(fact_ATP_Olambda__361) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  585 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ak(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(scratc165710567rdsucc,Uub))),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Uua),Uub)),Uu))))) # label(fact_ATP_Olambda__362) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  586 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fe(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1466607550d_n_fr,Uu),Uua)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1466607550d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__363) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  587 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ix(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__364) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  588 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_io(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__365) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  589 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oe(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__366) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  590 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nv(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__367) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  591 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uu),Uub)))))) # label(fact_ATP_Olambda__368) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  592 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hp(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__369) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  593 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hm(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__370) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  594 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mw(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__371) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  595 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mt(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__372) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  596 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ot(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uu),Uub)))))) # label(fact_ATP_Olambda__373) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  597 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hj(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__374) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  598 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hg(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__375) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  599 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__376) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  600 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mn(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__377) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  601 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_on(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Uu),Uub)))))) # label(fact_ATP_Olambda__378) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  602 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oz(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__379) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  603 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cp(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058067713lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058067713lesseq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058067713lesseq,Uu),Uub)))))) # label(fact_ATP_Olambda__380) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  604 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_db(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058067713lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889601393_lessf,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889601393_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__381) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  605 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cv(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439552_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439541_moref,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439541_moref,Uu),Uub)))))) # label(fact_ATP_Olambda__382) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  606 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cs(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439541_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439552_moreq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439541_moref,Uu),Uub)))))) # label(fact_ATP_Olambda__383) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  607 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cy(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889601393_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058067713lesseq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889601393_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__384) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  608 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_de(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889601393_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889601393_lessf,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889601393_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__385) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  609 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iu(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__386) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  610 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_il(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__387) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  611 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ob(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__388) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  612 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ns(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__389) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  613 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fl(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,Uu),Uub)))))) # label(fact_ATP_Olambda__390) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  614 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qw(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2021853628nd_nis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2021853628nd_nis,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uub)))))) # label(fact_ATP_Olambda__391) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  615 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ir(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__392) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  616 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ii(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__393) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  617 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ny(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__394) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  618 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_np(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__395) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  619 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ow(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__396) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  620 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pc(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__397) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  621 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ci(Uu),Uua),Uub)) <-> pp(scratc1254567215_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889601393_lessf,Uu),Uub),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889601393_lessf,Uub),Uua))))) # label(fact_ATP_Olambda__398) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  622 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_bi(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,Uub),Uu)) & pp(aa_TPTP_ind_bool(Uua,Uub)))) # label(fact_ATP_Olambda__399) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  623 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_sv(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc271144543_image(aa_fun1431113780TP_ind(scratc1138315766_d_Sep(Uu),Uua),Uu),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2038270365_Sigma,aa_fun1431113780TP_ind(scratc1138315766_d_Sep(Uu),Uua)),scratc1948143982d_e_in(Uu,Uua))),Uub))))) # label(fact_ATP_Olambda__400) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  624 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_sk(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc338405951d_esti(Uu),Uub),aa_fun1431113780TP_ind(scratc1138315766_d_Sep(Uu),Uua)))))) # label(fact_ATP_Olambda__401) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  625 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_te(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_aq,Uu)),aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_td(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__402) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  626 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_bk(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_aq,Uu)),aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_bj(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__403) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  627 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_su(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_aq,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_st(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__404) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  628 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_so(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_aq,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_sn(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__405) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  629 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sm(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_aq,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_sl(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__406) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  630 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sz(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,Uub),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc806939713d_d_Pi,Uu),aTP_Lamm_af(Uua)))))) # label(fact_ATP_Olambda__407) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  631 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qn(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uua),Uub))))) # label(fact_ATP_Olambda__408) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  632 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qo(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uua),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uub))))) # label(fact_ATP_Olambda__409) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  633 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sp(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,Uub),aa_TPTP_ind_TPTP_ind(scratc1947117309etprod(Uu),Uua))))) # label(fact_ATP_Olambda__410) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  634 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_sw(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,Uub),aa_fun1431113780TP_ind(scratc1138315766_d_Sep(Uu),Uua))))) # label(fact_ATP_Olambda__411) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  635 (all Uu all Uua all Uub aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aTP_Lamm_bd(Uu),Uua),Uub) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Uu),Uub))) # label(fact_ATP_Olambda__412) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  636 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nm(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_nl(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__413) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  637 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ni(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_nh(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__414) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  638 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ne(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_nd(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__415) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  639 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_na(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mz(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__416) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  640 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ls(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lr(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__417) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  641 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lo(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ln(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__418) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  642 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lk(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lj(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__419) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  643 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lg(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lf(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__420) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  644 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lc(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lb(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__421) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  645 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ky(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_kx(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__422) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  646 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ku(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_kt(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__423) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  647 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kq(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_kp(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__424) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  648 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_if(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ie(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__425) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  649 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ib(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ia(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__426) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  650 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hx(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hw(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__427) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  651 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ht(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hs(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__428) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  652 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gu(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gt(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__429) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  653 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gq(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gp(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__430) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  654 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gm(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gl(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__431) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  655 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gi(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gh(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__432) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  656 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ge(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gd(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__433) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  657 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ga(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fz(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__434) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  658 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fw(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fv(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__435) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  659 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fs(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_bx),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fr(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__436) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  660 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eo(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_en(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__437) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  661 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ek(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ej(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__438) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  662 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dq(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dp(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__439) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  663 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dm(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__440) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  664 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ce(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__441) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  665 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_sx(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(Uua,aa_TPTP_ind_TPTP_ind(scratc1948143982d_e_in(Uu,Uua),Uub))))) # label(fact_ATP_Olambda__442) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  666 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1913827119d_bool(aTP_Lamm_bm(Uu),Uua),Uub)) <-> (all X3 (gg_TPTP_ind(X3) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,X3),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc708055873bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Uub),X3)),aa_TPTP_ind_TPTP_ind(Uua,X3)))))))) # label(fact_ATP_Olambda__443) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  667 (all Uu all Uua all Uub all Uuc aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ae(Uu),Uua),Uub),Uuc) = aa_TPTP_ind_TPTP_ind(scratc1981267678nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1948143987d_e_is(aa_TPTP_ind_TPTP_ind(scratc858408580_d_1to,scratc754632064nd_n_2)),Uuc),scratc1463130805d_n_1t),Uu,Uua),Uub)) # label(fact_ATP_Olambda__444) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  668 (all Uu all Uua all Uub all Uuc aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_be(Uu),Uua),Uub),Uuc) = aa_TPTP_ind_TPTP_ind(scratc708055865bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc271144543_image(Uu,Uua),Uub),Uuc),aa_TPTP_ind_TPTP_ind(scratc495244102d_soft(Uu,Uua,Uub),Uuc)),scratc2074132177ptyset)) # label(fact_ATP_Olambda__445) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  669 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_sn(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1948143987d_e_is(Uu),aa_TPTP_ind_TPTP_ind(scratc313786612_first(Uu,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1203212770d_pair(Uu,Uua),Uub),Uuc))),Uub)))) # label(fact_ATP_Olambda__446) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  670 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_sl(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1948143987d_e_is(Uua),aa_TPTP_ind_TPTP_ind(scratc1877685744second(Uu,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1203212770d_pair(Uu,Uua),Uub),Uuc))),Uuc)))) # label(fact_ATP_Olambda__447) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  671 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ta(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1948143987d_e_is(Uu),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Uua),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Uub),Uuc))))) # label(fact_ATP_Olambda__448) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  672 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ax(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc338405951d_esti(Uu),Uub),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Uua),Uuc))))) # label(fact_ATP_Olambda__449) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  673 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bf(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1948143987d_e_is(Uu),Uub),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Uua),Uuc))))) # label(fact_ATP_Olambda__450) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  674 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_st(Uu),Uua),Uub),Uuc)) <-> scratc119627965_is_of(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1203212770d_pair(Uu,Uua),Uub),Uuc),aa_TPT43085870d_bool(aTP_Lamm_sp(Uu),Uua)))) # label(fact_ATP_Olambda__451) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  675 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_az(Uu),Uua),Uub),Uuc)) <-> pp(scratc1334897006d_l_ec(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc338405951d_esti(Uu),Uuc),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc338405951d_esti(Uu),Uuc),Uub))))) # label(fact_ATP_Olambda__452) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  676 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ba(Uu),Uua),Uub),Uuc)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1980808496nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc338405951d_esti(Uu),Uuc),Uua)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc338405951d_esti(Uu),Uuc),Uub))))) # label(fact_ATP_Olambda__453) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  677 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tb(Uu),Uua),Uub),Uuc)) <-> (pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_aq,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ta(Uua),Uub),Uuc))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1948143987d_e_is(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc806939713d_d_Pi,Uu),aTP_Lamm_af(Uua))),Uub),Uuc))))) # label(fact_ATP_Olambda__454) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  678 (all Uu all Uua all Uub all Uuc (gg_TPTP_ind(Uua) & gg_TPTP_ind(Uub) & gg_TPTP_ind(Uuc) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(Uu),Uua),Uub),Uuc)) <-> pp(Uu) & Uuc = Uua | -pp(Uu) & Uuc = Uub))) # label(fact_ATP_Olambda__455) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  679 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gt(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__456) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  680 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lr(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__457) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  681 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gh(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__458) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  682 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lf(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__459) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  683 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gl(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__460) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  684 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lj(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__461) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  685 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fv(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__462) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  686 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_kt(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1192313723moreis,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__463) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  687 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fr(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__464) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  688 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_kp(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__465) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.56  689 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gd(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__466) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  690 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lb(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__467) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  691 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058067713lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058067713lesseq,Uub),Uuc))))))) # label(fact_ATP_Olambda__468) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  692 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dp(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439552_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439552_moreq,Uub),Uuc))))))) # label(fact_ATP_Olambda__469) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  693 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_en(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439541_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc88439541_moref,Uub),Uuc))))))) # label(fact_ATP_Olambda__470) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  694 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ej(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889601393_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889601393_lessf,Uub),Uuc))))))) # label(fact_ATP_Olambda__471) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  695 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ie(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__472) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  696 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ia(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uuc),Uua))))))) # label(fact_ATP_Olambda__473) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  697 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_nl(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__474) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  698 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_nh(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1550067631_29_ii,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uuc),Uua))))))) # label(fact_ATP_Olambda__475) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  699 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hw(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__476) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  700 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hs(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uuc),Uua))))))) # label(fact_ATP_Olambda__477) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  701 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_nd(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__478) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  702 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mz(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466804348d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uuc),Uua))))))) # label(fact_ATP_Olambda__479) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  703 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ce(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1466541950d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1467263528d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467263528d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__480) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  704 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fz(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__481) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  705 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_kx(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1058330111lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__482) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  706 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gp(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467525937d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__483) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  707 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ln(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1980546093nd_iii,aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1467263534d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__484) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  708 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_td(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1948143987d_e_is(Uu),Uub),Uuc)) -> pp(aa_TPTP_ind_bool(Uua,Uuc)))))) # label(fact_ATP_Olambda__485) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  709 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_bj(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> (pp(aa_TPTP_ind_bool(Uua,Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1948143987d_e_is(Uu),Uub),Uuc)))))) # label(fact_ATP_Olambda__486) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  710 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bh(Uu),Uua),Uub),Uuc)) <-> pp(aa_fun171081125l_bool(scratc1914650853nd_all(Uu),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_bg(Uu),Uua),Uub),Uuc))))) # label(fact_ATP_Olambda__487) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  711 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ay(Uu),Uua),Uub),Uuc)) <-> pp(aa_fun171081125l_bool(scratc193745444l_some(Uua),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ax(Uu),Uub),Uuc))))) # label(fact_ATP_Olambda__488) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  712 (all Uu all Uua all Uub all Uuc aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ac(Uu),Uua),Uub),Uuc) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Uub),aa_TPTP_ind_TPTP_ind(scratc1797528812ght1to(Uu,Uua),Uuc))) # label(fact_ATP_Olambda__489) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  713 (all Uu all Uua all Uub all Uuc aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ad(Uu),Uua),Uub),Uuc) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Uub),aa_TPTP_ind_TPTP_ind(scratc2081637353eft1to(Uu,Uua),Uuc))) # label(fact_ATP_Olambda__490) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  714 (all Uu all Uua all Uub all Uuc all Uud (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_bg(Uu),Uua),Uub),Uuc),Uud)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1980808496nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1948143987d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Uub),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Uub),Uud))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1948143987d_e_is(Uu),Uuc),Uud))))) # label(fact_ATP_Olambda__491) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  715 (all Uu all Uua all Uub all Uuc all Uud (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_av(Uu),Uua),Uub),Uuc),Uud)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(Uu,Uuc),Uud)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1948143987d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Uub),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Uub),Uud)))))) # label(fact_ATP_Olambda__492) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  716 (all Uu all Uua all Uub all Uuc all Uud (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_fun987228051d_bool(aTP_Lamm_au(Uu),Uua),Uub),Uuc),Uud)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_aq,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_fun845057962d_bool(aTP_Lamm_at(Uu),Uua),Uub),Uuc),Uud))))) # label(fact_ATP_Olambda__493) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  717 (all Uu all Uua all Uub all Uuc all Uud (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_fun987228051d_bool(aTP_Lamm_aw(Uu),Uua),Uub),Uuc),Uud)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_aq,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_av(Uua),Uub),Uuc),Uud))))) # label(fact_ATP_Olambda__494) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  718 (all Uu all Uua all Uub all Uuc all Uud aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aa_TPT1781712639TP_ind(aTP_Lamm_bc(Uu),Uua),Uub),Uuc),Uud) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1118469813wissel(Uu,Uub),Uuc)),Uud))) # label(fact_ATP_Olambda__495) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  719 (all Uu all Uua all Uub all Uuc all Uud all Uue (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_fun845057962d_bool(aTP_Lamm_at(Uu),Uua),Uub),Uuc),Uud),Uue)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_aq,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_TPT985247859d_bool(aa_fun1107270209d_bool(aTP_Lamm_as(Uu),Uua),Uub),Uuc),Uud),Uue))))) # label(fact_ATP_Olambda__496) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  720 (all Uu all Uua all Uub all Uuc all Uud all Uue all Uuf (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_TPT985247859d_bool(aa_TPT125613450d_bool(aTP_Lamm_ar(Uu),Uua),Uub),Uuc),Uud),Uue),Uuf)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(Uu,Uuc),Uud)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(Uu,Uue),Uuf)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1948143987d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Uub),Uuc)),Uue)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc707531083bnd_ap,Uub),Uud)),Uuf))))))) # label(fact_ATP_Olambda__497) # label(axiom) # label(non_clause).  [assumption].
% 1.16/1.57  721 (all Uu all Uua all Uub all Uuc all Uud all Uue all Uuf (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_TPT985247859d_bool(aa_fun1107270209d_bool(aTP_Lamm_as(Uu),Uua),Uub),Uuc),Uud),Uue),Uuf)) <-> pp(aa_fun171081125l_bool(scratc1083084636all_of(aa_TPT43085870d_bool(aTP_Lamm_aq,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_TPT985247859d_bool(aa_TPT125613450d_bool(aTP_Lamm_ar(Uua),Uub),Uuc),Uud),Uue),Uuf))))) # label(fact_ATP_Olambda__498) # label(axiom) # label(non_clause).  [assumption].
% 1.40/1.64  722 (all Uu all Uua (gg_TPTP_ind(Uu) -> aa_TPTP_ind_TPTP_ind(aTP_Lamm_af(Uu),Uua) = Uu)) # label(fact_ATP_Olambda__499) # label(axiom) # label(non_clause).  [assumption].
% 1.40/1.64  723 (all Uu (gg_TPTP_ind(Uu) -> aa_TPTP_ind_TPTP_ind(aTP_Lamm_aj,Uu) = Uu)) # label(fact_ATP_Olambda__500) # label(axiom) # label(non_clause).  [assumption].
% 1.40/1.64  724 (all Uu aa_TPTP_ind_TPTP_ind(aTP_Lamm_ah,Uu) = scratc2021328837nd_nat) # label(fact_ATP_Olambda__501) # label(axiom) # label(non_clause).  [assumption].
% 1.40/1.64  725 (all P all Q (-pp(aa_bool_bool(aa_boo1142376798l_bool(fconj,P),Q)) | pp(Q))) # label(help_fconj_3_1_U) # label(axiom) # label(non_clause).  [assumption].
% 1.40/1.64  726 (all P all Q (-pp(aa_bool_bool(aa_boo1142376798l_bool(fconj,P),Q)) | pp(P))) # label(help_fconj_2_1_U) # label(axiom) # label(non_clause).  [assumption].
% 1.40/1.64  727 (all P all Q (-pp(P) | -pp(Q) | pp(aa_bool_bool(aa_boo1142376798l_bool(fconj,P),Q)))) # label(help_fconj_1_1_U) # label(axiom) # label(non_clause).  [assumption].
% 1.40/1.64  728 (all P (gg_bool(P) -> P = fTrue | P = fFalse)) # label(help_fFalse_1_1_T) # label(axiom) # label(non_clause).  [assumption].
% 1.40/1.64  729 (all P all Q (-pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,P),Q)) | -pp(P) | pp(Q))) # label(help_fimplies_3_1_U) # label(axiom) # label(non_clause).  [assumption].
% 1.40/1.64  730 (all Q all P (-pp(Q) | pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,P),Q)))) # label(help_fimplies_2_1_U) # label(axiom) # label(non_clause).  [assumption].
% 1.40/1.64  731 (all P all Q (pp(P) | pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,P),Q)))) # label(help_fimplies_1_1_U) # label(axiom) # label(non_clause).  [assumption].
% 1.40/1.64  732 (all P all X7 (-pp(aa_TPTP_ind_bool(P,X7)) | pp(fEx_TPTP_ind(P)))) # label(help_fEx_1_1_fEx_001t__TPTP____Interpret__Oind_U) # label(axiom) # label(non_clause).  [assumption].
% 1.40/1.64  733 (all X7 all Y (X7 != Y | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X7),Y)))) # label(help_fequal_2_1_fequal_001t__TPTP____Interpret__Oind_T) # label(axiom) # label(non_clause).  [assumption].
% 1.40/1.64  734 (all X7 all Y (gg_TPTP_ind(X7) & gg_TPTP_ind(Y) -> -pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X7),Y)) | X7 = Y)) # label(help_fequal_1_1_fequal_001t__TPTP____Interpret__Oind_T) # label(axiom) # label(non_clause).  [assumption].
% 1.40/1.64  735 (all P all Q all R aa_TPTP_ind_bool(cOMBS_2003118649l_bool(P,Q),R) = aa_bool_bool(aa_TPT2142672771l_bool(P,R),aa_TPTP_ind_bool(Q,R))) # label(help_COMBS_1_1_COMBS_001t__TPTP____Interpret__Oind_001t__HOL__Obool_001t__HOL__Obool_U) # label(axiom) # label(non_clause).  [assumption].
% 1.40/1.64  736 (all P all Q all R aa_TPTP_ind_bool(aa_TPT43085870d_bool(cOMBC_1555011498d_bool(P),Q),R) = aa_TPTP_ind_bool(aa_TPT43085870d_bool(P,R),Q)) # label(help_COMBC_1_1_COMBC_001t__TPTP____Interpret__Oind_001t__TPTP____Interpret__Oind_001t__HOL__Obool_U) # label(axiom) # label(non_clause).  [assumption].
% 1.40/1.64  737 (all P all Q all R aa_TPT2142672771l_bool(cOMBB_658106424TP_ind(P,Q),R) = aa_boo1142376798l_bool(P,aa_TPTP_ind_bool(Q,R))) # label(help_COMBB_1_1_COMBB_001t__HOL__Obool_001t__fun_It__HOL__Obool_Mt__HOL__Obool_J_001t__TPTP____Interpret__Oind_U) # label(axiom) # label(non_clause).  [assumption].
% 1.40/1.64  
% 1.40/1.64  ============================== end of process non-clausal formulas ===
% 1.40/1.64  
% 1.40/1.64  ============================== PROCESS INITIAL CLAUSES ===============
% 1.40/1.64  
% 1.40/1.64  ============================== PREDICATE ELIMINATION =================
% 1.40/1.64  738 -gg_bool(A) | A = fTrue | A = fFalse # label(help_fFalse_1_1_T) # label(axiom).  [clausify(728)].
% 1.40/1.64  739 gg_bool(undefined_bool(bool)) # label(gsy_c_HOL_Oundefined_001t__HOL__Obool) # label(axiom).  [assumption].
% 1.40/1.64  740 gg_bool(scratc2008168734_amone(A,B)) # label(gsy_c_Scratch__tptp__translate__57548__4068_ONUM748__thf__4__p_Obnd__amone) # label(axiom).  [clausify(1)].
% 1.40/1.64  741 gg_bool(scratc1254567215_d_and(A,B)) # label(gsy_c_Scratch__tptp__translate__57548__4068_ONUM748__thf__4__p_Obnd__d__and) # label(axiom).  [clausify(2)].
% 1.40/1.64  742 gg_bool(scratc1362032395_d_not(A)) # label(gsy_c_Scratch__tptp__translate__57548__4068_ONUM748__thf__4__p_Obnd__d__not) # label(axiom).  [clausify(3)].
% 1.61/1.91  743 gg_bool(scratc1947106425nd_ec3(A,B,C)) # label(gsy_c_Scratch__tptp__translate__57548__4068_ONUM748__thf__4__p_Obnd__ec3) # label(axiom).  [clausify(4)].
% 1.61/1.91  744 gg_bool(scratc1334897006d_l_ec(A,B)) # label(gsy_c_Scratch__tptp__translate__57548__4068_ONUM748__thf__4__p_Obnd__l__ec) # label(axiom).  [clausify(8)].
% 1.61/1.91  745 gg_bool(scratc2030705460nd_or3(A,B,C)) # label(gsy_c_Scratch__tptp__translate__57548__4068_ONUM748__thf__4__p_Obnd__or3) # label(axiom).  [clausify(9)].
% 1.61/1.91  746 gg_bool(aa_bool_bool(A,B)) # label(gsy_c_aa_001t__HOL__Obool_001t__HOL__Obool) # label(axiom).  [clausify(10)].
% 1.61/1.91  747 gg_bool(aa_TPTP_ind_bool(A,B)) # label(gsy_c_aa_001t__TPTP____Interpret__Oind_001t__HOL__Obool) # label(axiom).  [clausify(11)].
% 1.61/1.91  748 gg_bool(aa_fun171081125l_bool(A,B)) # label(gsy_c_aa_001t__fun_It__TPTP____Interpret__Oind_Mt__HOL__Obool_J_001t__HOL__Obool) # label(hypothesis).  [clausify(13)].
% 1.61/1.91  749 gg_bool(fEx_TPTP_ind(A)) # label(gsy_c_fEx_001t__TPTP____Interpret__Oind) # label(axiom).  [clausify(16)].
% 1.61/1.91  750 gg_bool(fFalse) # label(gsy_c_fFalse) # label(axiom).  [assumption].
% 1.61/1.91  751 gg_bool(fTrue) # label(gsy_c_fTrue) # label(axiom).  [assumption].
% 1.61/1.91  Derived: undefined_bool(bool) = fTrue | undefined_bool(bool) = fFalse.  [resolve(738,a,739,a)].
% 1.61/1.91  Derived: scratc2008168734_amone(A,B) = fTrue | scratc2008168734_amone(A,B) = fFalse.  [resolve(738,a,740,a)].
% 1.61/1.91  Derived: scratc1254567215_d_and(A,B) = fTrue | scratc1254567215_d_and(A,B) = fFalse.  [resolve(738,a,741,a)].
% 1.61/1.91  Derived: scratc1362032395_d_not(A) = fTrue | scratc1362032395_d_not(A) = fFalse.  [resolve(738,a,742,a)].
% 1.61/1.91  Derived: scratc1947106425nd_ec3(A,B,C) = fTrue | scratc1947106425nd_ec3(A,B,C) = fFalse.  [resolve(738,a,743,a)].
% 1.61/1.91  Derived: scratc1334897006d_l_ec(A,B) = fTrue | scratc1334897006d_l_ec(A,B) = fFalse.  [resolve(738,a,744,a)].
% 1.61/1.91  Derived: scratc2030705460nd_or3(A,B,C) = fTrue | scratc2030705460nd_or3(A,B,C) = fFalse.  [resolve(738,a,745,a)].
% 1.61/1.91  Derived: aa_bool_bool(A,B) = fTrue | aa_bool_bool(A,B) = fFalse.  [resolve(738,a,746,a)].
% 1.61/1.91  Derived: aa_TPTP_ind_bool(A,B) = fTrue | aa_TPTP_ind_bool(A,B) = fFalse.  [resolve(738,a,747,a)].
% 1.61/1.91  Derived: aa_fun171081125l_bool(A,B) = fTrue | aa_fun171081125l_bool(A,B) = fFalse.  [resolve(738,a,748,a)].
% 1.61/1.91  Derived: fEx_TPTP_ind(A) = fTrue | fEx_TPTP_ind(A) = fFalse.  [resolve(738,a,749,a)].
% 1.61/1.91  Derived: fFalse = fTrue | fFalse = fFalse.  [resolve(738,a,750,a)].
% 1.61/1.91  Derived: fTrue = fTrue | fTrue = fFalse.  [resolve(738,a,751,a)].
% 1.61/1.91  752 scratc1729831796d_r_ec(A,B) | pp(A) # label(fact_def__r__ec) # label(axiom).  [clausify(94)].
% 1.61/1.91  753 -scratc1729831796d_r_ec(A,B) | -pp(A) | pp(scratc1362032395_d_not(B)) # label(fact_def__r__ec) # label(axiom).  [clausify(94)].
% 1.61/1.91  754 scratc1729831796d_r_ec(A,B) | -pp(scratc1362032395_d_not(B)) # label(fact_def__r__ec) # label(axiom).  [clausify(94)].
% 1.61/1.91  755 scratc1225017_l_iff(A,B) | -pp(scratc1254567215_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1980808496nd_imp,A),B),aa_bool_bool(aa_boo1142376798l_bool(scratc1980808496nd_imp,B),A))) # label(fact_def__l__iff) # label(axiom).  [clausify(126)].
% 1.61/1.91  756 -scratc1225017_l_iff(A,B) | pp(scratc1254567215_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1980808496nd_imp,A),B),aa_bool_bool(aa_boo1142376798l_bool(scratc1980808496nd_imp,B),A))) # label(fact_def__l__iff) # label(axiom).  [clausify(126)].
% 1.61/1.91  757 scratc1692581501d_orec(A,B) | -pp(scratc1254567215_d_and(aa_bool_bool(scratc1335553011d_l_or(A),B),scratc1334897006d_l_ec(A,B))) # label(fact_def__orec) # label(axiom).  [clausify(127)].
% 1.61/1.91  758 -scratc1692581501d_orec(A,B) | pp(scratc1254567215_d_and(aa_bool_bool(scratc1335553011d_l_or(A),B),scratc1334897006d_l_ec(A,B))) # label(fact_def__orec) # label(axiom).  [clausify(127)].
% 1.61/1.91  759 scratc2095944770nd_wel(A) | -pp(scratc1362032395_d_not(scratc1362032395_d_not(A))) # label(fact_def__wel) # label(axiom).  [clausify(132)].
% 1.61/1.91  760 -scratc2095944770nd_wel(A) | pp(scratc1362032395_d_not(scratc1362032395_d_not(A))) # label(fact_def__wel) # label(axiom).  [clausify(132)].
% 1.61/1.91  761 -scratc2095944770nd_wel(A) | pp(A) # label(fact_l__et) # label(axiom).  [clausify(184)].
% 2.83/3.14  Derived: pp(A) | -pp(scratc1362032395_d_not(scratc1362032395_d_not(A))).  [resolve(761,a,759,a)].
% 2.83/3.14  
% 2.83/3.14  ============================== end predicate elimination =============
% 2.83/3.14  
% 2.83/3.14  Auto_denials:  (non-Horn, no changes).
% 2.83/3.14  
% 2.83/3.14  Term ordering decisions:
% 2.83/3.14  Function symbol KB weights:  aTP_Lamm_bx=1. scratc1466804348d_n_is=1. aTP_Lamm_a=1. scratc1980546093nd_iii=1. scratc1550067631_29_ii=1. scratc708055873bnd_in=1. scratc165710567rdsucc=1. scratc1058330111lessis=1. scratc707531083bnd_ap=1. scratc1192313723moreis=1. scratc1466541950d_n_eq=1. scratc754632063nd_n_1=1. aTP_Lamm_aq=1. scratc1889601393_lessf=1. scratc2021328837nd_nat=1. scratc88439541_moref=1. scratc2038270365_Sigma=1. scratc2074132177ptyset=1. scratc1058067713lesseq=1. scratc806939713d_d_Pi=1. scratc1466607550d_n_fr=1. scratc2021853628nd_nis=1. scratc937570086n_some=1. scratc88439552_moreq=1. fFalse=1. scratc1400956297_power=1. scratc1938976177nd_den=1. scratc6272171_nat_p=1. scratc1980808496nd_imp=1. scratc2022640810nd_num=1. scratc1780181483d_repl=1. fTrue=1. scratc679541039_n_all=1. scratc185501878d_pair=1. aTP_Lamm_ah=1. scratc1109485258d_frac=1. scratc205791385d_Subq=1. scratc1529470135_proj0=1. scratc1908218163_union=1. scratc551020483closed=1. scratc754632064nd_n_2=1. aTP_Lamm_an=1. scratc1466804343d_n_in=1. scratc1529470136_proj1=1. aTP_Lamm_am=1. aTP_Lamm_sg=1. scratc1570285427closed=1. scratc1735018441closed=1. scratc858408580_d_1to=1. aTP_Lamm_ag=1. aTP_Lamm_cj=1. aTP_Lamm_dh=1. aTP_Lamm_dj=1. aTP_Lamm_dt=1. aTP_Lamm_dv=1. aTP_Lamm_dx=1. aTP_Lamm_dz=1. aTP_Lamm_eb=1. aTP_Lamm_ed=1. aTP_Lamm_ef=1. aTP_Lamm_eh=1. aTP_Lamm_er=1. aTP_Lamm_et=1. aTP_Lamm_fo=1. aTP_Lamm_jw=1. aTP_Lamm_jy=1. aTP_Lamm_ka=1. aTP_Lamm_kc=1. aTP_Lamm_ke=1. aTP_Lamm_kg=1. aTP_Lamm_ki=1. aTP_Lamm_kk=1. aTP_Lamm_pf=1. aTP_Lamm_ph=1. aTP_Lamm_pj=1. aTP_Lamm_pl=1. aTP_Lamm_pn=1. aTP_Lamm_pp=1. aTP_Lamm_pr=1. aTP_Lamm_pt=1. aTP_Lamm_pv=1. aTP_Lamm_px=1. aTP_Lamm_pz=1. aTP_Lamm_qb=1. aTP_Lamm_rx=1. aTP_Lamm_sb=1. aTP_Lamm_sc=1. scratc210114373_prop2=1. scratc462810461_prop2=1. scratc59015456closed=1. scratc699125349_omega=1. scratc932548180d_Inj1=1. aTP_Lamm_aa=1. aTP_Lamm_ao=1. aTP_Lamm_bn=1. aTP_Lamm_bp=1. aTP_Lamm_bq=1. aTP_Lamm_bz=1. aTP_Lamm_cc=1. aTP_Lamm_cg=1. aTP_Lamm_cl=1. aTP_Lamm_cn=1. aTP_Lamm_cq=1. aTP_Lamm_ct=1. aTP_Lamm_cw=1. aTP_Lamm_cz=1. aTP_Lamm_dc=1. aTP_Lamm_df=1. aTP_Lamm_dn=1. aTP_Lamm_dr=1. aTP_Lamm_el=1. aTP_Lamm_ep=1. aTP_Lamm_ev=1. aTP_Lamm_ex=1. aTP_Lamm_ez=1. aTP_Lamm_fc=1. aTP_Lamm_ff=1. aTP_Lamm_fh=1. aTP_Lamm_fj=1. aTP_Lamm_fm=1. aTP_Lamm_ft=1. aTP_Lamm_fx=1. aTP_Lamm_gb=1. aTP_Lamm_gf=1. aTP_Lamm_gj=1. aTP_Lamm_gn=1. aTP_Lamm_gr=1. aTP_Lamm_gv=1. aTP_Lamm_gy=1. aTP_Lamm_hb=1. aTP_Lamm_he=1. aTP_Lamm_hh=1. aTP_Lamm_hk=1. aTP_Lamm_hn=1. aTP_Lamm_hq=1. aTP_Lamm_hu=1. aTP_Lamm_hy=1. aTP_Lamm_ic=1. aTP_Lamm_ig=1. aTP_Lamm_ij=1. aTP_Lamm_im=1. aTP_Lamm_ip=1. aTP_Lamm_is=1. aTP_Lamm_iv=1. aTP_Lamm_iy=1. aTP_Lamm_jb=1. aTP_Lamm_je=1. aTP_Lamm_jg=1. aTP_Lamm_ji=1. aTP_Lamm_jl=1. aTP_Lamm_jo=1. aTP_Lamm_jr=1. aTP_Lamm_ju=1. aTP_Lamm_kr=1. aTP_Lamm_kv=1. aTP_Lamm_kz=1. aTP_Lamm_ld=1. aTP_Lamm_lh=1. aTP_Lamm_ll=1. aTP_Lamm_lp=1. aTP_Lamm_lt=1. aTP_Lamm_lw=1. aTP_Lamm_lz=1. aTP_Lamm_mc=1. aTP_Lamm_mf=1. aTP_Lamm_mi=1. aTP_Lamm_ml=1. aTP_Lamm_mo=1. aTP_Lamm_mr=1. aTP_Lamm_mu=1. aTP_Lamm_mx=1. aTP_Lamm_nb=1. aTP_Lamm_nf=1. aTP_Lamm_nj=1. aTP_Lamm_nn=1. aTP_Lamm_nq=1. aTP_Lamm_nt=1. aTP_Lamm_nw=1. aTP_Lamm_nz=1. aTP_Lamm_oc=1. aTP_Lamm_of=1. aTP_Lamm_oj=1. aTP_Lamm_ol=1. aTP_Lamm_oo=1. aTP_Lamm_or=1. aTP_Lamm_ou=1. aTP_Lamm_ox=1. aTP_Lamm_pa=1. aTP_Lamm_pd=1. aTP_Lamm_qd=1. aTP_Lamm_qf=1. aTP_Lamm_qh=1. aTP_Lamm_qj=1. aTP_Lamm_ql=1. aTP_Lamm_qp=1. aTP_Lamm_qr=1. aTP_Lamm_qu=1. aTP_Lamm_qx=1. aTP_Lamm_qz=1. aTP_Lamm_rb=1. aTP_Lamm_re=1. aTP_Lamm_rg=1. aTP_Lamm_rj=1. aTP_Lamm_rm=1. aTP_Lamm_rp=1. aTP_Lamm_rs=1. aTP_Lamm_ru=1. aTP_Lamm_rv=1. aTP_Lamm_sa=1. fconj=1. fimplies=1. scratc107440503d_Sing=1. scratc1463130805d_n_1t=1. scratc1544586868_cond2=1. scratc210114372_prop1=1. scratc462810460_prop1=1. scratc795333300_n_one=1. scratc932548179d_Inj0=1. aTP_Lamm_bt=1. aTP_Lamm_ca=1. aTP_Lamm_cd=1. aTP_Lamm_ch=1. aTP_Lamm_ck=1. aTP_Lamm_cm=1. aTP_Lamm_co=1. aTP_Lamm_cr=1. aTP_Lamm_cu=1. aTP_Lamm_cx=1. aTP_Lamm_da=1. aTP_Lamm_dd=1. aTP_Lamm_dg=1. aTP_Lamm_di=1. aTP_Lamm_dk=1. aTP_Lamm_do=1. aTP_Lamm_ds=1. aTP_Lamm_du=1. aTP_Lamm_dw=1. aTP_Lamm_dy=1. aTP_Lamm_ea=1. aTP_Lamm_ec=1. aTP_Lamm_ee=1. aTP_Lamm_eg=1. aTP_Lamm_ei=1. aTP_Lamm_em=1. aTP_Lamm_eq=1. aTP_Lamm_es=1. aTP_Lamm_eu=1. aTP_Lamm_ew=1. aTP_Lamm_ey=1. aTP_Lamm_fa=1. aTP_Lamm_fd=1. aTP_Lamm_fg=1. aTP_Lamm_fi=1. aTP_Lamm_fk=1. aTP_Lamm_fn=1. aTP_Lamm_fp=1. aTP_Lamm_fq=1. aTP_Lamm_fu=1. aTP_Lamm_fy=1. aTP_Lamm_gc=1. aTP_Lamm_gg=1. aTP_Lamm_gk=1. aTP_Lamm_go=1. aTP_Lamm_gs=1. aTP_Lamm_gw=1. aTP_Lamm_gz=1. aTP_Lamm_hc=1. aTP_Lamm_hf=1. aTP_Lamm_hi=1. aTP_Lamm_hl=1. aTP_Lamm_ho=1. aTP_Lamm_hr=1. aTP_Lamm_hv=1. aTP_Lamm_hz=1. aTP_Lamm_id=1. aTP_Lamm_ih=1. aTP_Lamm_ik=1. aTP_Lamm_in=1. aTP_Lamm_iq=1. aTP_Lamm_it=1. aTP_Lamm_iw=1. aTP_Lamm_iz=1. aTP_Lamm_jc=1. aTP_Lamm_jf=1. aTP_Lamm_jh=1. aTP_Lamm_jj=1. aTP_Lamm_jk=1. aTP_Lamm_jm=1. aTP_Lamm_jn=1. aTP_Lamm_jp=1. aTP_Lamm_jq=1. aTP_Lamm_js=1. aTP_Lamm_jt=1. aTP_Lamm_jv=1. aTP_Lamm_jx=1. aTP_Lamm_jz=1. aTP_Lamm_kb=1. aTP_Lamm_kd=1. aTP_Lamm_kf=1. aTP_Lamm_kh=1. aTP_Lamm_kj=1. aTP_Lamm_kl=1. aTP_Lamm_km=1. aTP_Lamm_kn=1. aTP_Lamm_ko=1. aTP_Lamm_ks=1. aTP_Lamm_kw=1. aTP_Lamm_la=1. aTP_Lamm_le=1. aTP_Lamm_li=1. aTP_Lamm_lm=1. aTP_Lamm_lq=1. aTP_Lamm_lu=1. aTP_Lamm_lx=1. aTP_Lamm_ma=1. aTP_Lamm_md=1. aTP_Lamm_mg=1. aTP_Lamm_mj=1. aTP_Lamm_mm=1. aTP_Lamm_mp=1. aTP_Lamm_ms=1. aTP_Lamm_mv=1. aTP_Lamm_my=1. aTP_Lamm_nc=1. aTP_Lamm_ng=1. aTP_Lamm_nk=1. aTP_Lamm_no=1. aTP_Lamm_nr=1. aTP_Lamm_nu=1. aTP_Lamm_nx=1. aTP_Lamm_oa=1. aTP_Lamm_od=1. aTP_Lamm_og=1. aTP_Lamm_oh=1. aTP_Lamm_oi=1. aTP_Lamm_ok=1. aTP_Lamm_om=1. aTP_Lamm_op=1. aTP_Lamm_os=1. aTP_Lamm_ov=1. aTP_Lamm_oy=1. aTP_Lamm_pb=1. aTP_Lamm_pe=1. aTP_Lamm_pg=1. aTP_Lamm_pi=1. aTP_Lamm_pk=1. aTP_Lamm_pm=1. aTP_Lamm_po=1. aTP_Lamm_pq=1. aTP_Lamm_ps=1. aTP_Lamm_pu=1. aTP_Lamm_pw=1. aTP_Lamm_py=1. aTP_Lamm_qa=1. aTP_Lamm_qc=1. aTP_Lamm_qe=1. aTP_Lamm_qg=1. aTP_Lamm_qi=1. aTP_Lamm_qk=1. aTP_Lamm_qm=1. aTP_Lamm_qq=1. aTP_Lamm_qs=1. aTP_Lamm_qv=1. aTP_Lamm_qy=1. aTP_Lamm_ra=1. aTP_Lamm_rc=1. aTP_Lamm_rf=1. aTP_Lamm_rh=1. aTP_Lamm_ri=1. aTP_Lamm_rk=1. aTP_Lamm_rl=1. aTP_Lamm_rn=1. aTP_Lamm_ro=1. aTP_Lamm_rq=1. aTP_Lamm_rr=1. aTP_Lamm_rt=1. aTP_Lamm_rw=1. aTP_Lamm_ry=1. aTP_Lamm_rz=1. aTP_Lamm_sd=1. aTP_Lamm_se=1. aTP_Lamm_sf=1. aTP_Lamm_si=1. aTP_Lamm_tf=1. fequal_TPTP_ind=1. scratc1155429161_d_Unj=1. scratc1463196404d_n_2t=1. scratc1544586867_cond1=1. scratc2019754455nd_nIn=1. scratc439328953univof=1. aTP_Lamm_ab=1. aTP_Lamm_aj=1. aTP_Lamm_ap=1. aTP_Lamm_br=1. aTP_Lamm_bs=1. bool=1. scratc1004441599_prop1=1. scratc1051172635_prop1=1. scratc1180873670_prop1=1. scratc1193075210_times=1. scratc132630065_empty=1. scratc1386838722_prop1=1. scratc1463130800d_n_1o=1. scratc1529863733_prop4=1. scratc1769235845_prop1=1. scratc1975200897_prop1=1. scratc212243516nempty=1. scratc22460538pair_p=1. scratc277165622d_plus=1. scratc292089081munion=1. scratc394585229428_id=1. scratc462810463_prop4=1. scratc788713589r1type=1. scratc104196786d_xout=1. scratc1534791397d_1out=1. scratc1924186251let_u0=1. scratc215377777air_u0=1. scratc303928189d_24_g=1. scratc380797333_428_g=1. scratc663505071d_i1_s=1. tPTP_ind=1. aa_TPT43085870d_bool=1. aa_TPTP_ind_bool=1. aa_TPTP_ind_TPTP_ind=1. aa_fun171081125l_bool=1. aa_TPT60673477d_bool=1. aa_TPT1424761345TP_ind=1. aa_fun277296641TP_ind=1. aa_TPT494704832TP_ind=1. aa_bool_bool=1. aa_fun1584354236d_bool=1. scratc1254567215_d_and=1. aa_fun1431113780TP_ind=1. aa_boo1142376798l_bool=1. aa_TPT1123896796d_bool=1. scratc708055865bnd_if=1. scratc1334897006d_l_ec=1. aa_fun1212484691d_bool=1. scratc1948143982d_e_in=1. aa_TPT1791839040TP_ind=1. aa_TPT985247859d_bool=1. scratc1980874083nd_ind=1. scratc1203212770d_pair=1. aa_fun987228051d_bool=1. scratc2008168734_amone=1. scratc1877685744second=1. scratc271144543_image=1. scratc313786612_first=1. aa_TPT125613450d_bool=1. scratc2022247217nd_non=1. aa_fun1913827119d_bool=1. scratc1468732935d_anec=1. aa_fun1107270209d_bool=1. aa_fun845057962d_bool=1. scratc1308941863eplSep=1. scratc1947106486nd_ecp=1. scratc825291315_ecelt=1. scratc2030902322nd_out=1. scratc824700924_ecect=1. aa_TPT1781712639TP_ind=1. aa_TPT2142672771l_bool=1. aa_fun1235454963TP_ind=1. cOMBB_658106424TP_ind=1. cOMBS_2003118649l_bool=1. scratc1118469813wissel=1. scratc1250443016ectset=1. scratc1797528812ght1to=1. scratc1947106490nd_ect=1. scratc2081637353eft1to=1. scratc362502856_fixfu=1. scratc738416490fixfu2=1. scratc745481289etprop=1. scratc1135241139ectelt=1. scratc1272094769d_invf=1. scratc1275831300d_tofs=1. scratc1356560362unmore=1. scratc1711441908nverse=1. f1=1. f12=1. f13=1. f20=1. f24=1. scratc1083084636all_of=1. scratc1467263534d_n_pl=1. scratc1467525937d_n_ts=1. scratc1362032395_d_not=1. scratc1948143987d_e_is=1. scratc1138315766_d_Sep=1. scratc193745444l_some=1. scratc338405951d_esti=1. scratc1208545476ffprop=1. scratc1335553011d_l_or=1. scratc1467263528d_n_pf=1. scratc1914650853nd_all=1. scratc2030443114nd_one=1. aTP_Lamm_af=1. scratc1718350012d_outn=1. scratc1907975204_rec_G=1. aTP_Lamm_dl=1. aTP_Lamm_dp=1. aTP_Lamm_ej=1. aTP_Lamm_en=1. aTP_Lamm_sp=1. aTP_Lamm_ak=1. aTP_Lamm_ar=1. aTP_Lamm_bb=1. aTP_Lamm_bj=1. aTP_Lamm_bw=1. aTP_Lamm_ce=1. aTP_Lamm_cp=1. aTP_Lamm_cs=1. aTP_Lamm_cv=1. aTP_Lamm_cy=1. aTP_Lamm_db=1. aTP_Lamm_de=1. aTP_Lamm_fl=1. aTP_Lamm_fr=1. aTP_Lamm_fv=1. aTP_Lamm_fz=1. aTP_Lamm_gd=1. aTP_Lamm_gh=1. aTP_Lamm_gl=1. aTP_Lamm_gp=1. aTP_Lamm_gt=1. aTP_Lamm_hs=1. aTP_Lamm_hw=1. aTP_Lamm_ia=1. aTP_Lamm_ie=1. aTP_Lamm_kp=1. aTP_Lamm_kt=1. aTP_Lamm_kx=1. aTP_Lamm_lb=1. aTP_Lamm_lf=1. aTP_Lamm_lj=1. aTP_Lamm_ln=1. aTP_Lamm_lr=1. aTP_Lamm_mz=1. aTP_Lamm_nd=1. aTP_Lamm_nh=1. aTP_Lamm_nl=1. aTP_Lamm_on=1. aTP_Lamm_oq=1. aTP_Lamm_ot=1. aTP_Lamm_ow=1. aTP_Lamm_oz=1. aTP_Lamm_pc=1. aTP_Lamm_qn=1. aTP_Lamm_sh=1. aTP_Lamm_td=1. scratc1270848394d_incl=1. aTP_Lamm_av=1. aTP_Lamm_bf=1. aTP_Lamm_bi=1. aTP_Lamm_bm=1. aTP_Lamm_gx=1. aTP_Lamm_ha=1. aTP_Lamm_hd=1. aTP_Lamm_hg=1. aTP_Lamm_hj=1. aTP_Lamm_hm=1. aTP_Lamm_hp=1. aTP_Lamm_ii=1. aTP_Lamm_il=1. aTP_Lamm_io=1. aTP_Lamm_ir=1. aTP_Lamm_iu=1. aTP_Lamm_ix=1. aTP_Lamm_lv=1. aTP_Lamm_ly=1. aTP_Lamm_mb=1. aTP_Lamm_me=1. aTP_Lamm_mh=1. aTP_Lamm_mk=1. aTP_Lamm_mn=1. aTP_Lamm_mq=1. aTP_Lamm_mt=1. aTP_Lamm_mw=1. aTP_Lamm_np=1. aTP_Lamm_ns=1. aTP_Lamm_nv=1. aTP_Lamm_ny=1. aTP_Lamm_ob=1. aTP_Lamm_oe=1. aTP_Lamm_qt=1. aTP_Lamm_qw=1. aTP_Lamm_sz=1. aTP_Lamm_tb=1. scratc1947117309etprod=1. scratc1947959276nd_eps=1. scratc1980874093nd_inn=1. scratc594426635ective=1. aTP_Lamm_as=1. aTP_Lamm_at=1. aTP_Lamm_au=1. aTP_Lamm_aw=1. aTP_Lamm_ax=1. aTP_Lamm_az=1. aTP_Lamm_ba=1. aTP_Lamm_bg=1. aTP_Lamm_bh=1. aTP_Lamm_bk=1. aTP_Lamm_by=1. aTP_Lamm_cb=1. aTP_Lamm_cf=1. aTP_Lamm_ci=1. aTP_Lamm_dm=1. aTP_Lamm_dq=1. aTP_Lamm_ek=1. aTP_Lamm_eo=1. aTP_Lamm_fb=1. aTP_Lamm_fe=1. aTP_Lamm_fs=1. aTP_Lamm_fw=1. aTP_Lamm_ga=1. aTP_Lamm_ge=1. aTP_Lamm_gi=1. aTP_Lamm_gm=1. aTP_Lamm_gq=1. aTP_Lamm_gu=1. aTP_Lamm_ht=1. aTP_Lamm_hx=1. aTP_Lamm_ib=1. aTP_Lamm_if=1. aTP_Lamm_ja=1. aTP_Lamm_jd=1. aTP_Lamm_kq=1. aTP_Lamm_ku=1. aTP_Lamm_ky=1. aTP_Lamm_lc=1. aTP_Lamm_lg=1. aTP_Lamm_lk=1. aTP_Lamm_lo=1. aTP_Lamm_ls=1. aTP_Lamm_na=1. aTP_Lamm_ne=1. aTP_Lamm_ni=1. aTP_Lamm_nm=1. aTP_Lamm_qo=1. aTP_Lamm_rd=1. aTP_Lamm_sj=1. aTP_Lamm_sk=1. aTP_Lamm_sl=1. aTP_Lamm_sn=1. aTP_Lamm_st=1. aTP_Lamm_sv=1. aTP_Lamm_sw=1. aTP_Lamm_ta=1. fEx_TPTP_ind=1. scratc1285946180nunion=1. scratc1467001128d_n_lb=1. scratc1732458677lbprop=1. scratc2013592118nd_min=1. scratc281226584ective=1. aTP_Lamm_ay=1. aTP_Lamm_sm=1. aTP_Lamm_so=1. aTP_Lamm_sq=1. aTP_Lamm_sr=1. aTP_Lamm_ss=1. aTP_Lamm_su=1. aTP_Lamm_sx=1. aTP_Lamm_sy=1. aTP_Lamm_tc=1. aTP_Lamm_te=1. scratc1036705443In_rec=1. scratc1087522369econd1=1. scratc1095345403_pair1=1. scratc1932756743_UPair=1. scratc457194557first1=1. aTP_Lamm_ac=1. aTP_Lamm_ad=1. aTP_Lamm_ae=1. aTP_Lamm_ai=1. aTP_Lamm_al=1. aTP_Lamm_bc=1. aTP_Lamm_bd=1. aTP_Lamm_be=1. aTP_Lamm_bl=1. aTP_Lamm_bo=1. aTP_Lamm_bu=1. aTP_Lamm_bv=1. cOMBC_1555011498d_bool=1. scratc1202231722tminus=1. scratc1445076325_prop1=1. scratc1529863732_propCputime limit exceeded (core dumped)
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