TSTP Solution File: NUM783+4 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : NUM783+4 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 13:32:04 EDT 2022
% Result : Timeout 300.02s 300.24s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM783+4 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jul 7 14:06:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.47/1.70 ============================== Prover9 ===============================
% 1.47/1.70 Prover9 (32) version 2009-11A, November 2009.
% 1.47/1.70 Process 2579 was started by sandbox2 on n008.cluster.edu,
% 1.47/1.70 Thu Jul 7 14:06:54 2022
% 1.47/1.70 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_2425_n008.cluster.edu".
% 1.47/1.70 ============================== end of head ===========================
% 1.47/1.70
% 1.47/1.70 ============================== INPUT =================================
% 1.47/1.70
% 1.47/1.70 % Reading from file /tmp/Prover9_2425_n008.cluster.edu
% 1.47/1.70
% 1.47/1.70 set(prolog_style_variables).
% 1.47/1.70 set(auto2).
% 1.47/1.70 % set(auto2) -> set(auto).
% 1.47/1.70 % set(auto) -> set(auto_inference).
% 1.47/1.70 % set(auto) -> set(auto_setup).
% 1.47/1.70 % set(auto_setup) -> set(predicate_elim).
% 1.47/1.70 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.47/1.70 % set(auto) -> set(auto_limits).
% 1.47/1.70 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.47/1.70 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.47/1.70 % set(auto) -> set(auto_denials).
% 1.47/1.70 % set(auto) -> set(auto_process).
% 1.47/1.70 % set(auto2) -> assign(new_constants, 1).
% 1.47/1.70 % set(auto2) -> assign(fold_denial_max, 3).
% 1.47/1.70 % set(auto2) -> assign(max_weight, "200.000").
% 1.47/1.70 % set(auto2) -> assign(max_hours, 1).
% 1.47/1.70 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.47/1.70 % set(auto2) -> assign(max_seconds, 0).
% 1.47/1.70 % set(auto2) -> assign(max_minutes, 5).
% 1.47/1.70 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.47/1.70 % set(auto2) -> set(sort_initial_sos).
% 1.47/1.70 % set(auto2) -> assign(sos_limit, -1).
% 1.47/1.70 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.47/1.70 % set(auto2) -> assign(max_megs, 400).
% 1.47/1.70 % set(auto2) -> assign(stats, some).
% 1.47/1.70 % set(auto2) -> clear(echo_input).
% 1.47/1.70 % set(auto2) -> set(quiet).
% 1.47/1.70 % set(auto2) -> clear(print_initial_clauses).
% 1.47/1.70 % set(auto2) -> clear(print_given).
% 1.47/1.70 assign(lrs_ticks,-1).
% 1.47/1.70 assign(sos_limit,10000).
% 1.47/1.70 assign(order,kbo).
% 1.47/1.70 set(lex_order_vars).
% 1.47/1.70 clear(print_given).
% 1.47/1.70
% 1.47/1.70 % formulas(sos). % not echoed (1258 formulas)
% 1.47/1.70
% 1.47/1.70 ============================== end of input ==========================
% 1.47/1.70
% 1.47/1.70 % From the command line: assign(max_seconds, 300).
% 1.47/1.70
% 1.47/1.70 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.47/1.70
% 1.47/1.70 % Formulas that are not ordinary clauses:
% 1.47/1.70 1 (all B_1 all B_2 gg_bool(scratc1495574377_amone(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__62404__30419_ONUM783__thf__4__p_Obnd__amone) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.70 2 (all B_1 all B_2 gg_bool(scratc876302756_d_and(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__62404__30419_ONUM783__thf__4__p_Obnd__d__and) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.70 3 (all B_1 gg_bool(scratc983767936_d_not(B_1))) # label(gsy_c_Scratch__tptp__translate__62404__30419_ONUM783__thf__4__p_Obnd__d__not) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.70 4 (all B_1 all B_2 all B_3 gg_bool(scratc1814831172nd_ec3(B_1,B_2,B_3))) # label(gsy_c_Scratch__tptp__translate__62404__30419_ONUM783__thf__4__p_Obnd__ec3) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.70 5 (all B_1 all B_2 gg_TPTP_ind(scratc1814831237nd_ect(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__62404__30419_ONUM783__thf__4__p_Obnd__ect) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.70 6 (all B_1 gg_TPTP_ind(scratc1815684023nd_eps(B_1))) # label(gsy_c_Scratch__tptp__translate__62404__30419_ONUM783__thf__4__p_Obnd__eps) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.70 7 (all B_1 all B_2 gg_TPTP_ind(scratc1848598830nd_ind(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__62404__30419_ONUM783__thf__4__p_Obnd__ind) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.70 8 (all B_1 all B_2 gg_bool(scratc822302649d_l_ec(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__62404__30419_ONUM783__thf__4__p_Obnd__l__ec) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.70 9 (all B_1 all B_2 all B_3 gg_bool(scratc1898430207nd_or3(B_1,B_2,B_3))) # label(gsy_c_Scratch__tptp__translate__62404__30419_ONUM783__thf__4__p_Obnd__or3) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.70 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].
% 1.47/1.70 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].
% 1.47/1.70 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].
% 1.47/1.70 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].
% 1.47/1.70 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].
% 1.47/1.70 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].
% 1.47/1.70 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].
% 1.47/1.70 17 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017269432_propl(X,Xa),Xb),Xc)) <-> scratc178283661d_and3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848598832nd_inf,Xb),aa_TPTP_ind_TPTP_ind(scratc731299047_class,X)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848598832nd_inf,Xc),aa_TPTP_ind_TPTP_ind(scratc731299047_class,Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Xb),Xc)))) # label(fact_def__propl) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.70 18 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc317511020t_less,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc597052143l_some(scratc1966585279d_frac),aa_TPT43085870d_bool(aTP_Lamm_ad(X),Xa))))) # label(fact_def__rt__less) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.70 19 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017269433_propm(X,Xa),Xb),Xc)) <-> scratc178283661d_and3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848598832nd_inf,Xb),aa_TPTP_ind_TPTP_ind(scratc731299047_class,X)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848598832nd_inf,Xc),aa_TPTP_ind_TPTP_ind(scratc731299047_class,Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Xb),Xc)))) # label(fact_def__propm) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 20 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1180647656t_more,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc597052143l_some(scratc1966585279d_frac),aa_TPT43085870d_bool(aTP_Lamm_af(X),Xa))))) # label(fact_def__rt__more) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 21 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc250011927indrat(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc143661880indeq2(scratc1966585279d_frac,scratc953947593d_n_eq,Xb,Xc,X),Xa)) # label(fact_def__indrat) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 22 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1462860997rt_nis,X),Xa)) <-> pp(scratc983767936_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2081115645_rt_is,X),Xa))))) # label(fact_def__rt__nis) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 23 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1649266485_477_v(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc954013193d_n_fr,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1890365557nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1806700924nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1806700924nd_den,X)),aa_TPTP_ind_TPTP_ind(scratc1890365557nd_num,Xa)))) # label(fact_def__d__477__v) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 24 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc954013193d_n_fr,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1890365557nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1890365557nd_num,Xa))),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1806700924nd_den,X)),aa_TPTP_ind_TPTP_ind(scratc1806700924nd_den,Xa)))) # label(fact_def__n__tf) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 25 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc137694966_367_w(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc954013193d_n_fr,aa_TPTP_ind_TPTP_ind(scratc335785658367_vo(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1806700924nd_den,X)),aa_TPTP_ind_TPTP_ind(scratc1806700924nd_den,Xa)))) # label(fact_def__d__367__w) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 26 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc335785658367_vo(X),Xa) = scratc1848598830nd_ind(scratc1889053584nd_nat,aa_TPT43085870d_bool(scratc726149817ffprop(aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1890365557nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1806700924nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1890365557nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1806700924nd_den,X))))) # label(fact_def__d__367__vo) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 27 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc954013193d_n_fr,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1890365557nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1806700924nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1890365557nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1806700924nd_den,X)))),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1806700924nd_den,X)),aa_TPTP_ind_TPTP_ind(scratc1806700924nd_den,Xa)))) # label(fact_def__n__pf) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 28 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc679803254lesseq,X),Xa)) <-> pp(aa_bool_bool(scratc822958654d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,X),Xa))))) # label(fact_def__lesseq) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 29 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328843_moreq,X),Xa)) <-> pp(aa_bool_bool(scratc822958654d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,X),Xa))))) # label(fact_def__moreq) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 30 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1890365557nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1806700924nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1890365557nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1806700924nd_den,X)))))) # label(fact_def__lessf) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 31 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1890365557nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1806700924nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1890365557nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1806700924nd_den,X)))))) # label(fact_def__moref) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 32 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1890365557nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1806700924nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1890365557nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1806700924nd_den,X)))))) # label(fact_def__n__eq) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 33 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc29305604eft_f2(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc100585976d_left(X,Xa,Xb),aa_TPTP_ind_TPTP_ind(scratc29305603eft_f1(X,Xa,Xb),Xc))) # label(fact_def__left__f2) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 34 (all X all Xa all Xb scratc29305603eft_f1(X,Xa,Xb) = scratc100585976d_left(X,Xb,Xa)) # label(fact_def__left__f1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 35 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc499463691_right(X,Xa,Xb),Xc) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1555874706_Sigma,aa_TPTP_ind_TPTP_ind(scratc480144121_d_1to,Xb)),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ag(Xa),Xb),Xc))) # label(fact_def__right) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 36 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc100585976d_left(X,Xa,Xb),Xc) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1555874706_Sigma,aa_TPTP_ind_TPTP_ind(scratc480144121_d_1to,Xb)),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ah(Xa),Xb),Xc))) # label(fact_def__left) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 37 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1315133153ght1to(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc427966385d_outn(aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(X),aa_TPTP_ind_TPTP_ind(scratc1848598840nd_inn(Xa),Xb)))) # label(fact_def__right1to) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 38 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc337460404eft1to(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc427966385d_outn(X),aa_TPTP_ind_TPTP_ind(scratc1848598840nd_inn(Xa),Xb))) # label(fact_def__left1to) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 39 (all X aa_TPTP_ind_TPTP_ind(scratc961296807d_xout,X) = aa_TPTP_ind_TPTP_ind(scratc427966385d_outn(X),X)) # label(fact_def__xout) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 40 (all X aa_TPTP_ind_TPTP_ind(scratc1938098096d_1out,X) = aa_TPTP_ind_TPTP_ind(scratc427966385d_outn(X),scratc1611732084nd_n_1)) # label(fact_def__d__1out) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 41 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1880203370air_q0(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc582751046_pair1(X),aa_TPTP_ind_TPTP_ind(scratc78930098first1(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1490829068econd1(X),Xa))) # label(fact_def__pair__q0) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 42 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1490829068econd1(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Xa),scratc950602047d_n_2t)) # label(fact_def__second1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 43 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc78930098first1(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Xa),scratc950536448d_n_1t)) # label(fact_def__first1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 44 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc582751046_pair1(X),Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1555874706_Sigma,aa_TPTP_ind_TPTP_ind(scratc480144121_d_1to,scratc1611732085nd_n_2)),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ai(X),Xa),Xb))) # label(fact_def__pair1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 45 (all X aa_TPTP_ind_TPTP_ind(scratc1434915776r1type,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc294345356d_d_Pi,aa_TPTP_ind_TPTP_ind(scratc480144121_d_1to,scratc1611732085nd_n_2)),aTP_Lamm_aj(X))) # label(fact_def__pair1type) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 46 (all X scratc1848598840nd_inn(X) = scratc1435549625d_e_in(scratc1889053584nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ak,X))) # label(fact_def__inn) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 47 (all X scratc427966385d_outn(X) = scratc1898627069nd_out(scratc1889053584nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ak,X))) # label(fact_def__outn) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 48 (all X aa_TPTP_ind_TPTP_ind(scratc480144121_d_1to,X) = aa_fun1431113780TP_ind(scratc760051307_d_Sep(scratc1889053584nd_nat),aa_TPT43085870d_bool(aTP_Lamm_ak,X))) # label(fact_def__d__1to) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 49 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc954472382d_n_mn(X),Xa) = scratc1848598830nd_ind(scratc1889053584nd_nat,aa_TPT43085870d_bool(scratc726149817ffprop(X),Xa))) # label(fact_def__n__mn) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 50 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1591011183_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(X),Xa)),Xb)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(X),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Xa),Xb)))))) # label(fact_def__d__431__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 51 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1002649008_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(X),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Xa),Xb))),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(X),Xb)))))) # label(fact_def__d__430__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 52 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc608745318_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Xa),X))))) # label(fact_def__d__429__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 53 (all X scratc954931580d_n_ts(X) = aa_TPT1424761345TP_ind(scratc485608128bnd_ap,aa_TPTP_ind_TPTP_ind(scratc680480853_times,X))) # label(fact_def__n__ts) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 54 (all X aa_TPTP_ind_TPTP_ind(scratc680480853_times,X) = scratc1848598830nd_ind(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc294345356d_d_Pi,scratc1889053584nd_nat),aTP_Lamm_al),aa_TPT43085870d_bool(scratc20383144_prop2,X))) # label(fact_def__times) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 55 (all X aa_TPTP_ind_TPTP_ind(scratc1026999520_428_g,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1555874706_Sigma,scratc1889053584nd_nat),aTP_Lamm_am(X))) # label(fact_def__d__428__g) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 56 (all X (pp(aa_TPTP_ind_bool(scratc20383146_prop4,X)) <-> pp(aa_fun171081125l_bool(scratc597052143l_some(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc294345356d_d_Pi,scratc1889053584nd_nat),aTP_Lamm_al)),aa_TPT43085870d_bool(scratc20383144_prop2,X))))) # label(fact_def__d__428__prop4) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 57 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc20383144_prop2,X),Xa)) <-> pp(scratc876302756_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Xa),scratc1611732084nd_n_1)),X),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc20383143_prop1,X),Xa))))) # label(fact_def__d__428__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 58 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc20383143_prop1,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc301276580_n_all,aa_TPT43085870d_bool(aTP_Lamm_ao(X),Xa))))) # label(fact_def__d__428__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 59 (all X all Xa (pp(aa_TPTP_ind_bool(scratc1881316865nd_min(X),Xa)) <-> pp(scratc876302756_d_and(aa_TPTP_ind_bool(scratc954406771d_n_lb(X),Xa),aa_TPTP_ind_bool(X,Xa))))) # label(fact_def__min) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 60 (all X all Xa (pp(aa_TPTP_ind_bool(scratc954406771d_n_lb(X),Xa)) <-> pp(aa_fun171081125l_bool(scratc301276580_n_all,aa_TPT43085870d_bool(scratc1354194218lbprop(X),Xa))))) # label(fact_def__n__lb) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 61 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1354194218lbprop(X),Xa),Xb)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1848533243nd_imp,aa_TPTP_ind_bool(X,Xb)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Xa),Xb))))) # label(fact_def__lbprop) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 62 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,X),Xa)) <-> pp(aa_bool_bool(scratc822958654d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,X),Xa))))) # label(fact_def__lessis) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 63 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,X),Xa)) <-> pp(aa_bool_bool(scratc822958654d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,X),Xa))))) # label(fact_def__moreis) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 64 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc578532596_prop1,X),Xa)) <-> pp(scratc1898430207nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,X),Xa),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,X),Xa),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,X),Xa))))) # label(fact_def__d__29__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 65 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1340876785n_some,aa_TPT43085870d_bool(scratc726149817ffprop(Xa),X))))) # label(fact_def__iii) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 66 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1340876785n_some,aa_TPT43085870d_bool(scratc726149817ffprop(X),Xa))))) # label(fact_def__d__29__ii) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 67 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726149817ffprop(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,X),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Xa),Xb))))) # label(fact_def__diffprop) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 68 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2137654069_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889578375nd_nis,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(X),Xb))))) # label(fact_def__d__28__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 69 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1549291894_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889578375nd_nis,Xa),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(X),Xa))))) # label(fact_def__d__27__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 70 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc960929719_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Xa),X))))) # label(fact_def__d__26__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 71 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc372567544_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(X),Xa)),Xb)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(X),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Xa),Xb)))))) # label(fact_def__d__25__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 72 (all X scratc954669177d_n_pl(X) = aa_TPT1424761345TP_ind(scratc485608128bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1134265643d_plus,X))) # label(fact_def__n__pl) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 73 (all X aa_TPTP_ind_TPTP_ind(scratc1134265643d_plus,X) = scratc1848598830nd_ind(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc294345356d_d_Pi,scratc1889053584nd_nat),aTP_Lamm_al),aa_TPT43085870d_bool(scratc1931689018_prop2,X))) # label(fact_def__plus) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 74 (all X aa_TPTP_ind_TPTP_ind(scratc1969016178d_24_g,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1555874706_Sigma,scratc1889053584nd_nat),aTP_Lamm_ap(X))) # label(fact_def__d__24__g) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 75 (all X (pp(aa_TPTP_ind_bool(scratc1017269376_prop4,X)) <-> pp(aa_fun171081125l_bool(scratc597052143l_some(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc294345356d_d_Pi,scratc1889053584nd_nat),aTP_Lamm_al)),aa_TPT43085870d_bool(scratc1931689018_prop2,X))))) # label(fact_def__prop4) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 76 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017269375_prop3(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,X),Xb)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Xa),Xb))))) # label(fact_def__prop3) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 77 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931689018_prop2,X),Xa)) <-> pp(scratc876302756_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Xa),scratc1611732084nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,X)),aa_TPTP_ind_bool(scratc1931689017_prop1,Xa))))) # label(fact_def__d__24__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 78 (all X (pp(aa_TPTP_ind_bool(scratc1931689017_prop1,X)) <-> pp(aa_fun171081125l_bool(scratc301276580_n_all,aa_TPT43085870d_bool(aTP_Lamm_aq,X))))) # label(fact_def__d__24__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 79 (all X (pp(aa_TPTP_ind_bool(scratc1343326842_prop1,X)) <-> pp(aa_bool_bool(scratc822958654d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,X),scratc1611732084nd_n_1)),aa_fun171081125l_bool(scratc1340876785n_some,aa_TPT43085870d_bool(aTP_Lamm_ar,X)))))) # label(fact_def__d__23__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 80 (all X (pp(aa_TPTP_ind_bool(scratc754964667_prop1,X)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889578375nd_nis,aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,X)),X)))) # label(fact_def__d__22__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 81 (all X (pp(aa_TPTP_ind_bool(scratc1031992511_cond2,X)) <-> pp(aa_fun171081125l_bool(scratc301276580_n_all,aa_TPT43085870d_bool(aTP_Lamm_as,X))))) # label(fact_def__cond2) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 82 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889578375nd_nis,X),Xa)) <-> pp(scratc983767936_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,X),Xa))))) # label(fact_def__nis) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 83 (all X all Xa all Xb all Xc all Xd scratc143661880indeq2(X,Xa,Xb,Xc,Xd) = aa_TPT1424761345TP_ind(scratc563790714_indeq(X,Xa,Xb),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc635173942d_11_i(X,Xa,Xb),Xc),Xd))) # label(fact_def__indeq2) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 84 (all X all Xa all Xb scratc635173942d_11_i(X,Xa,Xb) = scratc563790714_indeq(X,Xa,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc294345356d_d_Pi,X),aTP_Lamm_aj(Xb)))) # label(fact_def__d__11__i) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 85 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc360152031fixfu2(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_fun987228051d_bool(aTP_Lamm_ay(X),Xa),Xb),Xc))))) # label(fact_def__fixfu2) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 86 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc563790714_indeq(X,Xa,Xb),Xc),Xd) = scratc1848598830nd_ind(Xb,aa_TPT43085870d_bool(scratc1017269374_prop2(X,Xa,Xb,Xc),Xd))) # label(fact_def__indeq) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 87 (all X all Xa all Xb all Xc all Xd all Xe (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017269374_prop2(X,Xa,Xb,Xc),Xd),Xe)) <-> pp(aa_fun171081125l_bool(scratc597052143l_some(X),aa_TPT43085870d_bool(scratc331527996_prop1(X,Xa,Xb,Xc,Xd),Xe))))) # label(fact_def__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 88 (all X all Xa all Xb all Xc all Xd all Xe all Xf (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc331527996_prop1(X,Xa,Xb,Xc,Xd),Xe),Xf)) <-> pp(scratc876302756_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1195505972d_esti(X),Xf),aa_TPTP_ind_TPTP_ind(scratc312106567_ecect(X,Xa),Xd)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1435549630d_e_is(Xb),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Xc),Xf)),Xe))))) # label(fact_def__d__10__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 89 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997392147_fixfu(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_fun987228051d_bool(aTP_Lamm_ba(X),Xa),Xb),Xc))))) # label(fact_def__fixfu) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 90 (all X all Xa scratc312106567_ecect(X,Xa) = scratc1435549625d_e_in(aa_TPTP_ind_TPTP_ind(scratc888361940_power,X),scratc178349308d_anec(X,Xa))) # label(fact_def__ecect) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 91 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc756976680ectelt(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc872178557ectset(X,Xa),aa_TPTP_ind_TPTP_ind(scratc312696958_ecelt(X,Xa),Xb))) # label(fact_def__ectelt) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 92 (all X all Xa scratc872178557ectset(X,Xa) = scratc1898627069nd_out(aa_TPTP_ind_TPTP_ind(scratc888361940_power,X),scratc178349308d_anec(X,Xa))) # label(fact_def__ectset) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 93 (all X all Xa scratc1814831237nd_ect(X,Xa) = aa_fun1431113780TP_ind(scratc760051307_d_Sep(aa_TPTP_ind_TPTP_ind(scratc888361940_power,X)),scratc178349308d_anec(X,Xa))) # label(fact_def__ect) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 94 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(scratc178349308d_anec(X,Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc597052143l_some(X),aa_TPT43085870d_bool(scratc1814831233nd_ecp(X,Xa),Xb))))) # label(fact_def__anec) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 95 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814831233nd_ecp(X,Xa),Xb),Xc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1435549630d_e_is(aa_TPTP_ind_TPTP_ind(scratc888361940_power,X)),Xb),aa_TPTP_ind_TPTP_ind(scratc312696958_ecelt(X,Xa),Xc))))) # label(fact_def__ecp) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 96 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc312696958_ecelt(X,Xa),Xb) = aa_fun1431113780TP_ind(scratc760051307_d_Sep(X),aa_TPT43085870d_bool(Xa,Xb))) # label(fact_def__ecelt) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 97 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc978295903unmore(X,Xa),Xb) = aa_fun1431113780TP_ind(scratc760051307_d_Sep(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bc(X),Xa),Xb))) # label(fact_def__unmore) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 98 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1783018430etprop(X,Xa),Xb),Xc)) <-> pp(scratc876302756_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1195505972d_esti(X),Xc),Xa),scratc983767936_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1195505972d_esti(X),Xc),Xb)))))) # label(fact_def__nissetprop) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 99 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1136672558t_disj(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1782375600nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bd(X),Xa),Xb))))) # label(fact_def__st__disj) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 100 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2127948415d_incl(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1782375600nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_be(X),Xa),Xb))))) # label(fact_def__incl) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 101 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877331505nempty,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc597052143l_some(X),aa_TPT43085870d_bool(aTP_Lamm_bf(X),Xa))))) # label(fact_def__nonempty) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 102 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1767519356_empty,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X)),scratc1889971964nd_non(X,aa_TPT43085870d_bool(aTP_Lamm_bf(X),Xa)))))) # label(fact_def__empty) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 103 (all X scratc1195505972d_esti(X) = scratc486132918bnd_in) # label(fact_def__esti) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 104 (all X all Xa (scratc1217237439d_r_ec(X,Xa) <-> (pp(X) -> pp(scratc983767936_d_not(Xa))))) # label(fact_def__r__ec) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 105 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(scratc2128707557hangef(X,Xa,Xb,Xc),Xd) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1555874706_Sigma,X),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aa_TPT1781712639TP_ind(aTP_Lamm_bg(X),Xb),Xc),Xd))) # label(fact_def__changef) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 106 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc740205354wissel(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1555874706_Sigma,X),scratc1722388117sel_wb(X,Xa,Xb))) # label(fact_def__wissel) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 107 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1722388117sel_wb(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc1848992425nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1435549630d_e_is(X),Xc),Xb),X,Xa),aa_TPTP_ind_TPTP_ind(scratc1722388116sel_wa(X,Xa,Xb),Xc))) # label(fact_def__wissel__wb) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 108 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1722388116sel_wa(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc1848992425nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1435549630d_e_is(X),Xc),Xa),X,Xb),Xc)) # label(fact_def__wissel__wa) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 109 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1848992425nd_ite(X,Xa,Xb),Xc) = scratc1848598830nd_ind(Xa,aa_TPT43085870d_bool(scratc1017269373_prop1(X,Xa,Xb),Xc))) # label(fact_def__ite) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 110 (all X all Xa all Xb all Xc all Xd (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017269373_prop1(X,Xa,Xb),Xc),Xd)) <-> pp(scratc876302756_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1848533243nd_imp,X),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1435549630d_e_is(Xa),Xd),Xb)),aa_bool_bool(aa_boo1142376798l_bool(scratc1848533243nd_imp,scratc983767936_d_not(X)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1435549630d_e_is(Xa),Xd),Xc)))))) # label(fact_def__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 111 (all X all Xa scratc1499421285second(X,Xa) = scratc1016875779_proj1) # label(fact_def__second) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 112 (all X all Xa scratc1948675903_first(X,Xa) = scratc1016875778_proj0) # label(fact_def__first) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 113 (all X all Xa scratc1606519469d_pair(X,Xa) = scratc1042601899d_pair) # label(fact_def__d__pair) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 114 (all X all Xa scratc1898627069nd_out(X,Xa) = scratc1352344123d_soft(aa_fun1431113780TP_ind(scratc760051307_d_Sep(X),Xa),X,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1555874706_Sigma,aa_fun1431113780TP_ind(scratc760051307_d_Sep(X),Xa)),scratc1435549625d_e_in(X,Xa)))) # label(fact_def__out) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 115 (all X all Xa all Xb (gg_TPTP_ind(Xb) -> aa_TPTP_ind_TPTP_ind(scratc1435549625d_e_in(X,Xa),Xb) = Xb)) # label(fact_def__e__in) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 116 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(scratc481468020_inj_h(X,Xa,Xb,Xc),Xd) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1555874706_Sigma,X),aa_TPT1424761345TP_ind(aTP_Lamm_bh(Xc),Xd))) # label(fact_def__inj__h) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 117 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc2129194790d_invf(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1555874706_Sigma,Xa),scratc1352344123d_soft(X,Xa,Xb))) # label(fact_def__invf) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 118 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1424348052ective(X),Xa),Xb)) <-> pp(scratc876302756_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240628822ective(X),Xa),Xb),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1318763725ective(X),Xa),Xb))))) # label(fact_def__bijective) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 119 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1318763725ective(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1782375600nd_all(Xa),aa_TPT43085870d_bool(scratc1906033834_image(X,Xa),Xb))))) # label(fact_def__surjective) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 120 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc2114748607nverse(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1555874706_Sigma,Xa),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_bi(X),Xa),Xb))) # label(fact_def__inverse) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 121 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1352344123d_soft(X,Xa,Xb),Xc) = scratc1848598830nd_ind(X,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bj(Xa),Xb),Xc))) # label(fact_def__soft) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 122 (all X all Xa scratc2132931321d_tofs(X,Xa) = scratc485608128bnd_ap) # label(fact_def__tofs) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 123 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1906033834_image(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc597052143l_some(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bj(Xa),Xb),Xc))))) # label(fact_def__image) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 124 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240628822ective(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1782375600nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bl(X),Xa),Xb))))) # label(fact_def__injective) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 125 (all X all Xa scratc1848598830nd_ind(X,Xa) = scratc1815684023nd_eps(aa_fun1584354236d_bool(aTP_Lamm_bm(X),Xa))) # label(fact_def__ind) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 126 (all X all Xa (pp(aa_fun171081125l_bool(scratc1898167861nd_one(X),Xa)) <-> pp(scratc876302756_d_and(scratc1495574377_amone(X,Xa),aa_fun171081125l_bool(scratc597052143l_some(X),Xa))))) # label(fact_def__one) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 127 (all X all Xa (pp(scratc1495574377_amone(X,Xa)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X)),aa_fun1584354236d_bool(aTP_Lamm_bo(X),Xa))))) # label(fact_def__amone) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 128 (all X scratc1435549630d_e_is(X) = fequal_TPTP_ind) # label(fact_def__e__is) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 129 (all X all Xa all Xb (scratc1941720897_orec3(X,Xa,Xb) <-> pp(scratc876302756_d_and(scratc1898430207nd_or3(X,Xa,Xb),scratc1814831172nd_ec3(X,Xa,Xb))))) # label(fact_def__orec3) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 130 (all X all Xa all Xb (pp(scratc1814831172nd_ec3(X,Xa,Xb)) <-> scratc178283661d_and3(scratc822302649d_l_ec(X,Xa),scratc822302649d_l_ec(Xa,Xb),scratc822302649d_l_ec(Xb,X)))) # label(fact_def__ec3) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 131 (all X all Xa all Xb (scratc178283661d_and3(X,Xa,Xb) <-> pp(scratc876302756_d_and(X,scratc876302756_d_and(Xa,Xb))))) # label(fact_def__and3) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 132 (all X all Xa all Xb (pp(scratc1898430207nd_or3(X,Xa,Xb)) <-> pp(aa_bool_bool(scratc822958654d_l_or(X),aa_bool_bool(scratc822958654d_l_or(Xa),Xb))))) # label(fact_def__or3) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 133 (all X all Xa (pp(aa_fun171081125l_bool(scratc597052143l_some(X),Xa)) <-> pp(scratc983767936_d_not(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X)),scratc1889971964nd_non(X,Xa)))))) # label(fact_def__l__some) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 134 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(scratc1889971964nd_non(X,Xa),Xb)) <-> pp(scratc983767936_d_not(aa_TPTP_ind_bool(Xa,Xb))))) # label(fact_def__non) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 135 (all X scratc1782375600nd_all(X) = scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X))) # label(fact_def__all) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 136 (all X all Xa (scratc1770444206_l_iff(X,Xa) <-> pp(scratc876302756_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1848533243nd_imp,X),Xa),aa_bool_bool(aa_boo1142376798l_bool(scratc1848533243nd_imp,Xa),X))))) # label(fact_def__l__iff) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 137 (all X all Xa (scratc402197874d_orec(X,Xa) <-> pp(scratc876302756_d_and(aa_bool_bool(scratc822958654d_l_or(X),Xa),scratc822302649d_l_ec(X,Xa))))) # label(fact_def__orec) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 138 (all X scratc822958654d_l_or(X) = aa_boo1142376798l_bool(scratc1848533243nd_imp,scratc983767936_d_not(X))) # label(fact_def__l__or) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 139 (all X all Xa (pp(scratc876302756_d_and(X,Xa)) <-> pp(scratc983767936_d_not(scratc822302649d_l_ec(X,Xa))))) # label(fact_def__d__and) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 140 (all X all Xa (pp(scratc822302649d_l_ec(X,Xa)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1848533243nd_imp,X),scratc983767936_d_not(Xa))))) # label(fact_def__l__ec) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 141 scratc832347606bvious <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1848533243nd_imp,fFalse),fFalse)) # label(fact_def__obvious) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 142 (all X (scratc1963669517nd_wel(X) <-> pp(scratc983767936_d_not(scratc983767936_d_not(X))))) # label(fact_def__wel) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 143 (all X (pp(scratc983767936_d_not(X)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1848533243nd_imp,X),fFalse)))) # label(fact_def__d__not) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 144 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc294345356d_d_Pi,X),Xa) = aa_fun1431113780TP_ind(scratc760051307_d_Sep(aa_TPTP_ind_TPTP_ind(scratc888361940_power,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1555874706_Sigma,X),aTP_Lamm_bp(Xa)))),aa_fun1913827119d_bool(aTP_Lamm_bq(X),Xa))) # label(fact_def__d__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 145 (all X (gg_TPTP_ind(X) -> (pp(aa_TPTP_ind_bool(scratc425767237pair_p,X)) <-> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1042601899d_pair,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,X),scratc1591736518ptyset)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,X),aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,scratc1591736518ptyset))) = X))) # label(fact_def__pair__p) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 146 (all X all Xa aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,X),Xa) = aa_fun277296641TP_ind(scratc198995356eplSep(X,aa_TPT43085870d_bool(aTP_Lamm_br,Xa)),scratc1016875779_proj1)) # label(fact_def__ap) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 147 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc202940360etprod(X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1555874706_Sigma,X),aTP_Lamm_aj(Xa))) # label(fact_def__setprod) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 148 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1555874706_Sigma,X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1957177070munion,X),aTP_Lamm_bs(Xa))) # label(fact_def__d__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 149 (all X aa_TPTP_ind_TPTP_ind(scratc1016875779_proj1,X) = aa_fun277296641TP_ind(scratc198995356eplSep(X,aTP_Lamm_bt),scratc777164702_d_Unj)) # label(fact_def__proj1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 150 (all X aa_TPTP_ind_TPTP_ind(scratc1016875778_proj0,X) = aa_fun277296641TP_ind(scratc198995356eplSep(X,aTP_Lamm_bu),scratc777164702_d_Unj)) # label(fact_def__proj0) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 151 (all X all Xa aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1042601899d_pair,X),Xa) = aa_TPTP_ind_TPTP_ind(scratc803550521nunion(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc489797856d_repl,X),scratc1335854878d_Inj0)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc489797856d_repl,Xa),scratc1335854879d_Inj1))) # label(fact_def__pair) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 152 (all X aa_TPTP_ind_TPTP_ind(scratc1335854878d_Inj0,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc489797856d_repl,X),scratc1335854879d_Inj1)) # label(fact_def__d__Inj0) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 153 (all X (pp(aa_TPTP_ind_bool(scratc1775491360_nat_p,X)) <-> (all X1 (pp(aa_TPTP_ind_bool(X1,scratc1591736518ptyset)) -> ((all X2 (gg_TPTP_ind(X2) -> (pp(aa_TPTP_ind_bool(X1,X2)) -> pp(aa_TPTP_ind_bool(X1,aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,X2)))))) -> pp(aa_TPTP_ind_bool(X1,X))))))) # label(fact_def__nat__p) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 154 (all X aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,X) = aa_TPTP_ind_TPTP_ind(scratc803550521nunion(X),aa_TPTP_ind_TPTP_ind(scratc510747202d_Sing,X))) # label(fact_def__ordsucc) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 155 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc2074242584In_rec(X),Xa) = scratc1815684023nd_eps(aa_TPT43085870d_bool(scratc1465547887_rec_G(X),Xa))) # label(fact_def__d__In__rec) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 156 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1465547887_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(scratc486132918bnd_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].
% 1.47/1.71 157 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc719836063tminus(X),Xa) = aa_fun1431113780TP_ind(scratc760051307_d_Sep(X),aa_TPT43085870d_bool(aTP_Lamm_bx,Xa))) # label(fact_def__setminus) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 158 (all X all Xa scratc198995356eplSep(X,Xa) = aa_TPT494704832TP_ind(scratc489797856d_repl,aa_fun1431113780TP_ind(scratc760051307_d_Sep(X),Xa))) # label(fact_def__d__ReplSep) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 159 (all X all Xa aa_fun1431113780TP_ind(scratc760051307_d_Sep(X),Xa) = aa_TPTP_ind_TPTP_ind(scratc486132910bnd_if(fEx_TPTP_ind(cOMBS_2003118649l_bool(cOMBB_658106424TP_ind(fconj,aa_TPT43085870d_bool(cOMBC_1555011498d_bool(scratc486132918bnd_in),X)),Xa)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc489797856d_repl,X),aa_fun1235454963TP_ind(aTP_Lamm_by(X),Xa))),scratc1591736518ptyset)) # label(fact_def__d__Sep) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 160 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1957177070munion,X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1395623806_union,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc489797856d_repl,X),Xa))) # label(fact_def__famunion) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 161 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc803550521nunion(X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1395623806_union,aa_TPTP_ind_TPTP_ind(scratc1450361084_UPair(X),Xa))) # label(fact_def__binunion) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 162 (all X aa_TPTP_ind_TPTP_ind(scratc510747202d_Sing,X) = aa_TPTP_ind_TPTP_ind(scratc1450361084_UPair(X),X)) # label(fact_def__d__Sing) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 163 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1450361084_UPair(X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc489797856d_repl,aa_TPTP_ind_TPTP_ind(scratc888361940_power,aa_TPTP_ind_TPTP_ind(scratc888361940_power,scratc1591736518ptyset))),aa_TPT1424761345TP_ind(aTP_Lamm_bz(X),Xa))) # label(fact_def__d__UPair) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 164 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1887479202nd_nIn,X),Xa)) <-> -pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X),Xa)))) # label(fact_def__nIn) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 165 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc486132910bnd_if(X,Xa),Xb) = scratc1815684023nd_eps(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ca(X),Xa),Xb))) # label(fact_def__if) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 166 (all X (pp(aa_TPTP_ind_bool(scratc1764071787closed,X)) <-> pp(aa_TPTP_ind_bool(scratc1170782056closed,X)) & pp(aa_TPTP_ind_bool(scratc1335515070closed,X)) & pp(aa_TPTP_ind_bool(scratc1012632206closed,X)))) # label(fact_def__d__ZF__closed) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 167 (all X (pp(aa_TPTP_ind_bool(scratc1012632206closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X1),X)) -> (all X2 ((all X3 (gg_TPTP_ind(X3) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X3),X1)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,aa_TPTP_ind_TPTP_ind(X2,X3)),X))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc489797856d_repl,X1),X2)),X))))))))) # label(fact_def__d__Repl__closed) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 168 (all X (pp(aa_TPTP_ind_bool(scratc1335515070closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X1),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,aa_TPTP_ind_TPTP_ind(scratc888361940_power,X1)),X))))))) # label(fact_def__d__Power__closed) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 169 (all X (pp(aa_TPTP_ind_bool(scratc1170782056closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X1),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,aa_TPTP_ind_TPTP_ind(scratc1395623806_union,X1)),X))))))) # label(fact_def__d__Union__closed) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 170 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc609098084d_Subq,X),Xa)) <-> (all X2 (gg_TPTP_ind(X2) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X2),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X2),Xa))))))) # label(fact_def__d__Subq) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 171 (all X all Xa (pp(aa_fun171081125l_bool(scratc1486391335all_of(X),Xa)) <-> (all X2 (gg_TPTP_ind(X2) -> (scratc1888847154_is_of(X2,X) -> pp(aa_TPTP_ind_bool(Xa,X2))))))) # label(fact_def__all__of) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 172 (all X all Xa (scratc1888847154_is_of(X,Xa) <-> pp(aa_TPTP_ind_bool(Xa,X)))) # label(fact_def__is__of) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 173 (all X0 (pp(aa_fun171081125l_bool(scratc1340876785n_some,X0)) -> pp(aa_fun171081125l_bool(scratc417068841_n_one,scratc1881316865nd_min(X0))))) # label(fact_satz27a) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 174 (all X0 (pp(aa_fun171081125l_bool(scratc1340876785n_some,X0)) -> pp(aa_fun171081125l_bool(scratc1340876785n_some,scratc1881316865nd_min(X0))))) # label(fact_satz27) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 175 (all X0 pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_aav,X0)),aa_TPT43085870d_bool(aTP_Lamm_aax,X0)))) # label(fact_isseti) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 176 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_fun1584354236d_bool(aTP_Lamm_aay(X0),X12)))) # label(fact_estie) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 177 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_fun1584354236d_bool(aTP_Lamm_aaz(X0),X12)))) # label(fact_estii) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 178 (all X0 all X12 scratc1888847154_is_of(aa_fun1431113780TP_ind(scratc760051307_d_Sep(X0),X12),aa_TPT43085870d_bool(aTP_Lamm_aav,X0))) # label(fact_setof__p) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 179 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_TPT43085870d_bool(aTP_Lamm_abb(X0),X12)))) # label(fact_secondis1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 180 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_TPT43085870d_bool(aTP_Lamm_abd(X0),X12)))) # label(fact_firstis1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 181 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_abe(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_abf(X0),X12)))) # label(fact_pairis1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 182 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_abe(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_abg(X0),X12)))) # label(fact_second__p) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 183 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_abe(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_abh(X0),X12)))) # label(fact_first__p) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 184 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_TPT43085870d_bool(aTP_Lamm_abj(X0),X12)))) # label(fact_e__pair__p) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 185 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_fun1584354236d_bool(aTP_Lamm_abk(X0),X12)))) # label(fact_otax2) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 186 (all X0 all X12 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240628822ective(aa_fun1431113780TP_ind(scratc760051307_d_Sep(X0),X12)),X0),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1555874706_Sigma,aa_fun1431113780TP_ind(scratc760051307_d_Sep(X0),X12)),scratc1435549625d_e_in(X0,X12))))) # label(fact_otax1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 187 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_fun1584354236d_bool(aTP_Lamm_abl(X0),X12)),aa_fun1584354236d_bool(aTP_Lamm_abm(X0),X12)))) # label(fact_e__inp) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 188 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_fun1584354236d_bool(aTP_Lamm_abl(X0),X12)),aa_fun1584354236d_bool(aTP_Lamm_abn(X0),X12)))) # label(fact_e__in__p) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 189 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_abo(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_abr(X0),X12)))) # label(fact_e__fisi) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 190 (all X0 all X12 (pp(aa_fun171081125l_bool(scratc1898167861nd_one(X0),X12)) -> pp(aa_TPTP_ind_bool(X12,scratc1848598830nd_ind(X0,X12))))) # label(fact_oneax) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 191 (all X0 all X12 (pp(aa_fun171081125l_bool(scratc1898167861nd_one(X0),X12)) -> scratc1888847154_is_of(scratc1848598830nd_ind(X0,X12),aa_TPT43085870d_bool(aTP_Lamm_au,X0)))) # label(fact_ind__p) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 192 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_fun1584354236d_bool(aTP_Lamm_abt(X0),X12)))) # label(fact_e__isp) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 193 (all X0 pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_TPT43085870d_bool(aTP_Lamm_abu,X0)))) # label(fact_refis) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 194 (all X0 (scratc1963669517nd_wel(X0) -> pp(X0))) # label(fact_l__et) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 195 (all X0 all X12 all X22 all X32 (pp(X0) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc486132910bnd_if(X0,X22),X32))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X12),X22))))) # label(fact_k__If__In__then__E) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 196 (all X0 all X12 all X22 ((pp(X0) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X12),X22))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,aa_TPTP_ind_TPTP_ind(scratc486132910bnd_if(X0,X12),scratc1591736518ptyset)),aa_TPTP_ind_TPTP_ind(scratc486132910bnd_if(X0,X22),aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,scratc1591736518ptyset)))))) # label(fact_k__If__In__01) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 197 (all X0 all X12 all X22 ((all X33 (gg_TPTP_ind(X33) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X33),X0)) -> aa_TPTP_ind_TPTP_ind(X12,X33) = aa_TPTP_ind_TPTP_ind(X22,X33)))) -> aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1555874706_Sigma,X0),X12) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1555874706_Sigma,X0),X22))) # label(fact_xi__ext) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 198 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc294345356d_d_Pi,X0),X12))) -> (all X32 (gg_TPTP_ind(X32) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X32),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc294345356d_d_Pi,X0),X12))) -> ((all X42 (gg_TPTP_ind(X42) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X42),X0)) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,X22),X42) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,X32),X42)))) -> X22 = X32))))))) # label(fact_k__Pi__ext) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 199 (all X0 all X12 all X22 all X32 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc294345356d_d_Pi,X0),X12))) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X32),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,X22),X32)),aa_TPTP_ind_TPTP_ind(X12,X32)))))) # label(fact_ap__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 200 (all X0 all X12 all X22 ((all X33 (gg_TPTP_ind(X33) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X33),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,aa_TPTP_ind_TPTP_ind(X22,X33)),aa_TPTP_ind_TPTP_ind(X12,X33)))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1555874706_Sigma,X0),X22)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc294345356d_d_Pi,X0),X12))))) # label(fact_lam__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 201 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X22),X0)) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1555874706_Sigma,X0),X12)),X22) = aa_TPTP_ind_TPTP_ind(X12,X22))) # label(fact_beta) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 202 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1555874706_Sigma,X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,aa_TPTP_ind_TPTP_ind(scratc1016875779_proj1,X22)),aa_TPTP_ind_TPTP_ind(X12,aa_TPTP_ind_TPTP_ind(scratc1016875778_proj0,X22)))))) # label(fact_proj1__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 203 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1555874706_Sigma,X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,aa_TPTP_ind_TPTP_ind(scratc1016875778_proj0,X22)),X0)))) # label(fact_proj0__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 204 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1555874706_Sigma,X0),X12))) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1042601899d_pair,aa_TPTP_ind_TPTP_ind(scratc1016875778_proj0,X22)),aa_TPTP_ind_TPTP_ind(scratc1016875779_proj1,X22)) = X22))) # label(fact_proj__Sigma__eta) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 205 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1555874706_Sigma,X0),X12))) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1042601899d_pair,aa_TPTP_ind_TPTP_ind(scratc1016875778_proj0,X22)),aa_TPTP_ind_TPTP_ind(scratc1016875779_proj1,X22)) = X22 & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,aa_TPTP_ind_TPTP_ind(scratc1016875778_proj0,X22)),X0)) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,aa_TPTP_ind_TPTP_ind(scratc1016875779_proj1,X22)),aa_TPTP_ind_TPTP_ind(X12,aa_TPTP_ind_TPTP_ind(scratc1016875778_proj0,X22))))))) # label(fact_k__Sigma__eta__proj0__proj1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 206 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X22),X0)) -> (all X32 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X32),aa_TPTP_ind_TPTP_ind(X12,X22))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1042601899d_pair,X22),X32)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1555874706_Sigma,X0),X12))))))) # label(fact_pair__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 207 (all X0 all X12 (gg_TPTP_ind(X12) -> aa_TPTP_ind_TPTP_ind(scratc1016875779_proj1,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1042601899d_pair,X0),X12)) = X12)) # label(fact_proj1__pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 208 (all X0 all X12 (gg_TPTP_ind(X0) -> aa_TPTP_ind_TPTP_ind(scratc1016875778_proj0,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1042601899d_pair,X0),X12)) = X0)) # label(fact_proj0__pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 209 (all X0 (pp(aa_TPTP_ind_bool(scratc1775491360_nat_p,X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X0),scratc186530992_omega)))) # label(fact_nat__p__omega) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 210 (all X0 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X0),scratc186530992_omega)) -> pp(aa_TPTP_ind_bool(scratc1775491360_nat_p,X0)))) # label(fact_omega__nat__p) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 211 (all X0 (gg_TPTP_ind(X0) -> (pp(aa_TPTP_ind_bool(scratc1775491360_nat_p,X0)) -> X0 = scratc1591736518ptyset | (exists X13 (gg_TPTP_ind(X13) & pp(aa_TPTP_ind_bool(scratc1775491360_nat_p,X13)) & X0 = aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,X13)))))) # label(fact_nat__inv) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 212 (all X0 (pp(aa_TPTP_ind_bool(X0,scratc1591736518ptyset)) -> ((all X13 (gg_TPTP_ind(X13) -> (pp(aa_TPTP_ind_bool(scratc1775491360_nat_p,X13)) -> (pp(aa_TPTP_ind_bool(X0,X13)) -> pp(aa_TPTP_ind_bool(X0,aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,X13))))))) -> (all X12 (pp(aa_TPTP_ind_bool(scratc1775491360_nat_p,X12)) -> pp(aa_TPTP_ind_bool(X0,X12))))))) # label(fact_nat__ind) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 213 (all X0 (pp(aa_TPTP_ind_bool(scratc1775491360_nat_p,X0)) -> pp(aa_TPTP_ind_bool(scratc1775491360_nat_p,aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,X0))))) # label(fact_nat__ordsucc) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 214 (all X0 all X12 (gg_TPTP_ind(X0) & gg_TPTP_ind(X12) -> (aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,X0) = aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,X12) -> X0 = X12))) # label(fact_ordsucc__inj) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 215 (all X0 aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,X0) != scratc1591736518ptyset) # label(fact_neq__ordsucc__0) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 216 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X22),aa_fun1431113780TP_ind(scratc760051307_d_Sep(X0),X12))) -> pp(aa_TPTP_ind_bool(X12,X22)))) # label(fact_k__SepE2) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 217 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X22),aa_fun1431113780TP_ind(scratc760051307_d_Sep(X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X22),X0)))) # label(fact_k__SepE1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 218 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X22),X0)) -> (pp(aa_TPTP_ind_bool(X12,X22)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X22),aa_fun1431113780TP_ind(scratc760051307_d_Sep(X0),X12)))))) # label(fact_k__SepI) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 219 (all X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X0),aa_TPTP_ind_TPTP_ind(scratc888361940_power,X0)))) # label(fact_k__Self__In__Power) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 220 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc609098084d_Subq,X12),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc888361940_power,X0))))) # label(fact_k__PowerI) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 221 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc888361940_power,X0))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc609098084d_Subq,X12),X0)))) # label(fact_k__PowerE) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 222 (all X0 all X12 all X22 (gg_TPTP_ind(X12) & gg_TPTP_ind(X22) -> aa_TPTP_ind_TPTP_ind(scratc486132910bnd_if(X0,X12),X22) = X12 | aa_TPTP_ind_TPTP_ind(scratc486132910bnd_if(X0,X12),X22) = X22)) # label(fact_if__i__or) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 223 (all X0 all X12 all X22 (gg_TPTP_ind(X12) -> (pp(X0) -> aa_TPTP_ind_TPTP_ind(scratc486132910bnd_if(X0,X12),X22) = X12))) # label(fact_if__i__1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 224 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (-pp(X0) -> aa_TPTP_ind_TPTP_ind(scratc486132910bnd_if(X0,X12),X22) = X22))) # label(fact_if__i__0) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 225 (all X0 all X12 all X22 (gg_TPTP_ind(X12) & gg_TPTP_ind(X22) -> pp(X0) & aa_TPTP_ind_TPTP_ind(scratc486132910bnd_if(X0,X12),X22) = X12 | -pp(X0) & aa_TPTP_ind_TPTP_ind(scratc486132910bnd_if(X0,X12),X22) = X22)) # label(fact_if__i__correct) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 226 (all X0 pp(aa_TPTP_ind_bool(scratc1764071787closed,aa_TPTP_ind_TPTP_ind(scratc61064494univof,X0)))) # label(fact_k__UnivOf__ZF__closed) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 227 (all X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X0),aa_TPTP_ind_TPTP_ind(scratc61064494univof,X0)))) # label(fact_k__UnivOf__In) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 228 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc489797856d_repl,X0),X12))) <-> (exists X3 (gg_TPTP_ind(X3) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X3),X0)) & X22 = aa_TPTP_ind_TPTP_ind(X12,X3)))))) # label(fact_k__ReplEq) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 229 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc888361940_power,X0))) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc609098084d_Subq,X12),X0)))) # label(fact_k__PowerEq) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 230 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1395623806_union,X0))) <-> (exists X2 (gg_TPTP_ind(X2) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X12),X2)) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X2),X0)))))) # label(fact_k__UnionEq) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 231 -(exists X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X0),scratc1591736518ptyset))) # label(fact_k__EmptyAx) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 232 (all X0 ((all X13 (gg_TPTP_ind(X13) -> ((all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_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].
% 1.47/1.71 233 (all X0 all X12 (gg_TPTP_ind(X0) & gg_TPTP_ind(X12) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc609098084d_Subq,X0),X12)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc609098084d_Subq,X12),X0)) -> X0 = X12)))) # label(fact_set__ext) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 234 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aak,Uu)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889578375nd_nis,Uu),scratc1611732084nd_n_1)) -> pp(aa_fun171081125l_bool(scratc1340876785n_some,aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)))))) # label(fact_ATP_Olambda__1) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 235 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aaj,Uu)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889578375nd_nis,Uu),scratc1611732084nd_n_1)) -> pp(aa_fun171081125l_bool(scratc417068841_n_one,aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)))))) # label(fact_ATP_Olambda__2) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 236 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aag,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),scratc1611732084nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uu))))) # label(fact_ATP_Olambda__3) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 237 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_si,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),scratc1611732084nd_n_1)),Uu)))) # label(fact_ATP_Olambda__4) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 238 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aad,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(scratc1611732084nd_n_1),Uu)),aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uu))))) # label(fact_ATP_Olambda__5) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 239 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sf,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(scratc1611732084nd_n_1),Uu)),Uu)))) # label(fact_ATP_Olambda__6) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 240 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aai,Uu)) <-> pp(aa_fun171081125l_bool(scratc1898167861nd_one(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc294345356d_d_Pi,scratc1889053584nd_nat),aTP_Lamm_al)),aa_TPT43085870d_bool(aTP_Lamm_aah,Uu))))) # label(fact_ATP_Olambda__7) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 241 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1898167861nd_one(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc294345356d_d_Pi,scratc1889053584nd_nat),aTP_Lamm_al)),aa_TPT43085870d_bool(aTP_Lamm_sj,Uu))))) # label(fact_ATP_Olambda__8) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 242 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aaq,Uu)) <-> (pp(aa_TPTP_ind_bool(scratc1031992510_cond1,Uu)) -> (pp(aa_TPTP_ind_bool(scratc1031992511_cond2,Uu)) -> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_aap,Uu))))))) # label(fact_ATP_Olambda__9) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 243 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aaa,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),scratc1611732084nd_n_1))))) # label(fact_ATP_Olambda__10) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 244 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zx,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(scratc1611732084nd_n_1),Uu))))) # label(fact_ATP_Olambda__11) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 245 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wx,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uu)),Uu)))) # label(fact_ATP_Olambda__12) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 246 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aal,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889578375nd_nis,aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uu)),Uu)))) # label(fact_ATP_Olambda__13) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 247 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aau,Uu)) <-> scratc1888847154_is_of(aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uu),aTP_Lamm_km))) # label(fact_ATP_Olambda__14) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 248 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tc,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uu)),scratc1611732084nd_n_1)))) # label(fact_ATP_Olambda__15) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 249 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aat,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889578375nd_nis,aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uu)),scratc1611732084nd_n_1)))) # label(fact_ATP_Olambda__16) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 250 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sc,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),scratc1611732084nd_n_1))))) # label(fact_ATP_Olambda__17) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 251 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rz,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(scratc1611732084nd_n_1),Uu))))) # label(fact_ATP_Olambda__18) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 252 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ww,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uu),aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uu))))) # label(fact_ATP_Olambda__19) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 253 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aao,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,Uu),aa_TPTP_ind_TPTP_ind(scratc888361940_power,scratc1889053584nd_nat))))) # label(fact_ATP_Olambda__20) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 254 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ci,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2081115645_rt_is,Uu),Uu)))) # label(fact_ATP_Olambda__21) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 255 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_of,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uu)))) # label(fact_ATP_Olambda__22) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 256 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_td,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,Uu),scratc1611732084nd_n_1)))) # label(fact_ATP_Olambda__23) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 257 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cj,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,Uu),scratc1966585279d_frac)))) # label(fact_ATP_Olambda__24) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 258 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_a,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,Uu),scratc1922099604nd_rat)))) # label(fact_ATP_Olambda__25) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 259 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_km,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,Uu),scratc1889053584nd_nat)))) # label(fact_ATP_Olambda__26) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 260 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aas,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_aar,Uu))))) # label(fact_ATP_Olambda__27) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 261 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aan,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_aam,Uu))))) # label(fact_ATP_Olambda__28) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 262 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aaf,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_aae,Uu))))) # label(fact_ATP_Olambda__29) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 263 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aac,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_aab,Uu))))) # label(fact_ATP_Olambda__30) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 264 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_zy,Uu))))) # label(fact_ATP_Olambda__31) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 265 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_zv,Uu))))) # label(fact_ATP_Olambda__32) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 266 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zu,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_zt,Uu))))) # label(fact_ATP_Olambda__33) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 267 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zr,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_zq,Uu))))) # label(fact_ATP_Olambda__34) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 268 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zp,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_zo,Uu))))) # label(fact_ATP_Olambda__35) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 269 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zn,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_zm,Uu))))) # label(fact_ATP_Olambda__36) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 270 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_zj,Uu))))) # label(fact_ATP_Olambda__37) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 271 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_zg,Uu))))) # label(fact_ATP_Olambda__38) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 272 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zf,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_ze,Uu))))) # label(fact_ATP_Olambda__39) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 273 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zb,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_za,Uu))))) # label(fact_ATP_Olambda__40) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 274 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_yy,Uu))))) # label(fact_ATP_Olambda__41) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 275 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_yw,Uu))))) # label(fact_ATP_Olambda__42) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 276 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_yu,Uu))))) # label(fact_ATP_Olambda__43) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 277 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yt,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_ys,Uu))))) # label(fact_ATP_Olambda__44) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 278 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yr,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_yq,Uu))))) # label(fact_ATP_Olambda__45) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 279 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yp,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_yo,Uu))))) # label(fact_ATP_Olambda__46) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 280 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yn,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_ym,Uu))))) # label(fact_ATP_Olambda__47) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 281 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yl,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_yk,Uu))))) # label(fact_ATP_Olambda__48) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 282 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yj,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_yi,Uu))))) # label(fact_ATP_Olambda__49) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 283 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_yg,Uu))))) # label(fact_ATP_Olambda__50) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 284 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yf,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_ye,Uu))))) # label(fact_ATP_Olambda__51) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 285 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yd,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_yc,Uu))))) # label(fact_ATP_Olambda__52) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 286 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yb,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_ya,Uu))))) # label(fact_ATP_Olambda__53) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 287 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_xy,Uu))))) # label(fact_ATP_Olambda__54) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 288 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_xw,Uu))))) # label(fact_ATP_Olambda__55) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 289 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_xu,Uu))))) # label(fact_ATP_Olambda__56) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 290 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xt,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_xs,Uu))))) # label(fact_ATP_Olambda__57) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 291 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_xp,Uu))))) # label(fact_ATP_Olambda__58) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 292 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xn,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_xm,Uu))))) # label(fact_ATP_Olambda__59) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 293 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_xj,Uu))))) # label(fact_ATP_Olambda__60) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 294 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_xg,Uu))))) # label(fact_ATP_Olambda__61) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 295 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xe,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_xd,Uu))))) # label(fact_ATP_Olambda__62) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 296 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xb,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_xa,Uu))))) # label(fact_ATP_Olambda__63) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 297 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_wy,Uu))))) # label(fact_ATP_Olambda__64) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 298 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_wu,Uu))))) # label(fact_ATP_Olambda__65) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 299 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ws,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_wr,Uu))))) # label(fact_ATP_Olambda__66) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 300 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wp,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_wo,Uu))))) # label(fact_ATP_Olambda__67) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 301 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wm,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_wl,Uu))))) # label(fact_ATP_Olambda__68) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.71 302 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wj,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_wi,Uu))))) # label(fact_ATP_Olambda__69) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 303 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wg,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_wf,Uu))))) # label(fact_ATP_Olambda__70) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 304 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wd,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_wc,Uu))))) # label(fact_ATP_Olambda__71) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 305 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_vy,Uu))))) # label(fact_ATP_Olambda__72) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 306 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_vu,Uu))))) # label(fact_ATP_Olambda__73) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 307 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vr,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_vq,Uu))))) # label(fact_ATP_Olambda__74) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 308 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vn,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_vm,Uu))))) # label(fact_ATP_Olambda__75) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 309 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_vj,Uu))))) # label(fact_ATP_Olambda__76) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 310 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_vg,Uu))))) # label(fact_ATP_Olambda__77) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 311 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ve,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_vd,Uu))))) # label(fact_ATP_Olambda__78) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 312 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vb,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_va,Uu))))) # label(fact_ATP_Olambda__79) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 313 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_uy,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_ux,Uu))))) # label(fact_ATP_Olambda__80) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 314 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_uv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_uu,Uu))))) # label(fact_ATP_Olambda__81) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 315 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_us,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_ur,Uu))))) # label(fact_ATP_Olambda__82) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 316 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_up,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_uo,Uu))))) # label(fact_ATP_Olambda__83) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 317 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_um,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_ul,Uu))))) # label(fact_ATP_Olambda__84) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 318 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_uj,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_ui,Uu))))) # label(fact_ATP_Olambda__85) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 319 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_uf,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_ue,Uu))))) # label(fact_ATP_Olambda__86) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 320 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ub,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_ua,Uu))))) # label(fact_ATP_Olambda__87) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 321 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_tw,Uu))))) # label(fact_ATP_Olambda__88) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 322 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tt,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_ts,Uu))))) # label(fact_ATP_Olambda__89) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 323 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tp,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_to,Uu))))) # label(fact_ATP_Olambda__90) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 324 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tl,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_tk,Uu))))) # label(fact_ATP_Olambda__91) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 325 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_th,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_tg,Uu))))) # label(fact_ATP_Olambda__92) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 326 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ta,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_sz,Uu))))) # label(fact_ATP_Olambda__93) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 327 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sy,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_sx,Uu))))) # label(fact_ATP_Olambda__94) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 328 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_sv,Uu))))) # label(fact_ATP_Olambda__95) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 329 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_su,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_st,Uu))))) # label(fact_ATP_Olambda__96) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 330 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ss,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_sr,Uu))))) # label(fact_ATP_Olambda__97) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 331 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_sp,Uu))))) # label(fact_ATP_Olambda__98) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 332 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_so,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_sn,Uu))))) # label(fact_ATP_Olambda__99) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 333 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sm,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_sl,Uu))))) # label(fact_ATP_Olambda__100) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 334 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_sg,Uu))))) # label(fact_ATP_Olambda__101) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 335 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_se,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_sd,Uu))))) # label(fact_ATP_Olambda__102) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 336 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sb,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_sa,Uu))))) # label(fact_ATP_Olambda__103) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 337 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ry,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_rx,Uu))))) # label(fact_ATP_Olambda__104) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 338 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_rv,Uu))))) # label(fact_ATP_Olambda__105) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 339 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ru,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_rt,Uu))))) # label(fact_ATP_Olambda__106) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 340 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rr,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_rq,Uu))))) # label(fact_ATP_Olambda__107) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 341 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ro,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_rn,Uu))))) # label(fact_ATP_Olambda__108) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 342 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rl,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_rk,Uu))))) # label(fact_ATP_Olambda__109) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 343 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ri,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_rh,Uu))))) # label(fact_ATP_Olambda__110) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 344 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rf,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_re,Uu))))) # label(fact_ATP_Olambda__111) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 345 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_rb,Uu))))) # label(fact_ATP_Olambda__112) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 346 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_qy,Uu))))) # label(fact_ATP_Olambda__113) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 347 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_qv,Uu))))) # label(fact_ATP_Olambda__114) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 348 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qs,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_qr,Uu))))) # label(fact_ATP_Olambda__115) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 349 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qo,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_qn,Uu))))) # label(fact_ATP_Olambda__116) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 350 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_qj,Uu))))) # label(fact_ATP_Olambda__117) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 351 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qg,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_qf,Uu))))) # label(fact_ATP_Olambda__118) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 352 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qd,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_qc,Uu))))) # label(fact_ATP_Olambda__119) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 353 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qa,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_pz,Uu))))) # label(fact_ATP_Olambda__120) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 354 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_px,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_pw,Uu))))) # label(fact_ATP_Olambda__121) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 355 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pu,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_pt,Uu))))) # label(fact_ATP_Olambda__122) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 356 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pr,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_pq,Uu))))) # label(fact_ATP_Olambda__123) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 357 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_po,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_pn,Uu))))) # label(fact_ATP_Olambda__124) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 358 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pl,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_pk,Uu))))) # label(fact_ATP_Olambda__125) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 359 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ph,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_pg,Uu))))) # label(fact_ATP_Olambda__126) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 360 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pd,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_pc,Uu))))) # label(fact_ATP_Olambda__127) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 361 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_oy,Uu))))) # label(fact_ATP_Olambda__128) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 362 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ov,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_ou,Uu))))) # label(fact_ATP_Olambda__129) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 363 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_or,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_oq,Uu))))) # label(fact_ATP_Olambda__130) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 364 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_on,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_om,Uu))))) # label(fact_ATP_Olambda__131) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 365 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oj,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_oi,Uu))))) # label(fact_ATP_Olambda__132) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 366 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_ny,Uu))))) # label(fact_ATP_Olambda__133) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 367 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_nw,Uu))))) # label(fact_ATP_Olambda__134) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 368 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_nu,Uu))))) # label(fact_ATP_Olambda__135) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 369 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ns,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_nr,Uu))))) # label(fact_ATP_Olambda__136) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 370 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ks,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_kr,Uu))))) # label(fact_ATP_Olambda__137) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 371 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kp,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_ko,Uu))))) # label(fact_ATP_Olambda__138) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 372 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oe,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_od,Uu))))) # label(fact_ATP_Olambda__139) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 373 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ob,Uu))))) # label(fact_ATP_Olambda__140) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 374 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_np,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_no,Uu))))) # label(fact_ATP_Olambda__141) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 375 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nn,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_nm,Uu))))) # label(fact_ATP_Olambda__142) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 376 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nl,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_nk,Uu))))) # label(fact_ATP_Olambda__143) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 377 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nj,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ni,Uu))))) # label(fact_ATP_Olambda__144) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 378 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ng,Uu))))) # label(fact_ATP_Olambda__145) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 379 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nf,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ne,Uu))))) # label(fact_ATP_Olambda__146) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 380 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nb,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_na,Uu))))) # label(fact_ATP_Olambda__147) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 381 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_mw,Uu))))) # label(fact_ATP_Olambda__148) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 382 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_mu,Uu))))) # label(fact_ATP_Olambda__149) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 383 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mt,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ms,Uu))))) # label(fact_ATP_Olambda__150) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 384 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mr,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_mq,Uu))))) # label(fact_ATP_Olambda__151) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 385 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mp,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_mo,Uu))))) # label(fact_ATP_Olambda__152) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 386 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mn,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_mm,Uu))))) # label(fact_ATP_Olambda__153) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 387 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ml,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_mk,Uu))))) # label(fact_ATP_Olambda__154) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 388 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mj,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_mi,Uu))))) # label(fact_ATP_Olambda__155) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 389 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_mg,Uu))))) # label(fact_ATP_Olambda__156) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 390 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_md,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_mc,Uu))))) # label(fact_ATP_Olambda__157) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 391 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ly,Uu))))) # label(fact_ATP_Olambda__158) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 392 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_lw,Uu))))) # label(fact_ATP_Olambda__159) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 393 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_lu,Uu))))) # label(fact_ATP_Olambda__160) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 394 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ls,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_lr,Uu))))) # label(fact_ATP_Olambda__161) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 395 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lp,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_lo,Uu))))) # label(fact_ATP_Olambda__162) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 396 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lm,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ll,Uu))))) # label(fact_ATP_Olambda__163) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 397 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lj,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_li,Uu))))) # label(fact_ATP_Olambda__164) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 398 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lg,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_lf,Uu))))) # label(fact_ATP_Olambda__165) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 399 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ky,Uu))))) # label(fact_ATP_Olambda__166) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 400 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_kv,Uu))))) # label(fact_ATP_Olambda__167) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 401 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kl,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_kk,Uu))))) # label(fact_ATP_Olambda__168) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 402 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kj,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ki,Uu))))) # label(fact_ATP_Olambda__169) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 403 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kg,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_kf,Uu))))) # label(fact_ATP_Olambda__170) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 404 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ke,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_kd,Uu))))) # label(fact_ATP_Olambda__171) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 405 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_kb,Uu))))) # label(fact_ATP_Olambda__172) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 406 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_jy,Uu))))) # label(fact_ATP_Olambda__173) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 407 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_jv,Uu))))) # label(fact_ATP_Olambda__174) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 408 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jt,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_js,Uu))))) # label(fact_ATP_Olambda__175) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 409 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_jp,Uu))))) # label(fact_ATP_Olambda__176) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 410 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jn,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_jm,Uu))))) # label(fact_ATP_Olambda__177) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 411 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_jj,Uu))))) # label(fact_ATP_Olambda__178) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 412 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jg,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_jf,Uu))))) # label(fact_ATP_Olambda__179) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 413 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_jb,Uu))))) # label(fact_ATP_Olambda__180) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 414 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_iy,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ix,Uu))))) # label(fact_ATP_Olambda__181) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 415 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_iu,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_it,Uu))))) # label(fact_ATP_Olambda__182) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 416 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ir,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_iq,Uu))))) # label(fact_ATP_Olambda__183) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 417 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_io,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_in,Uu))))) # label(fact_ATP_Olambda__184) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 418 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_il,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ik,Uu))))) # label(fact_ATP_Olambda__185) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 419 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ii,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ih,Uu))))) # label(fact_ATP_Olambda__186) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 420 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_if,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ie,Uu))))) # label(fact_ATP_Olambda__187) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 421 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ic,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ib,Uu))))) # label(fact_ATP_Olambda__188) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 422 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hy,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_hx,Uu))))) # label(fact_ATP_Olambda__189) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 423 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hu,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ht,Uu))))) # label(fact_ATP_Olambda__190) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 424 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_hp,Uu))))) # label(fact_ATP_Olambda__191) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 425 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hm,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_hl,Uu))))) # label(fact_ATP_Olambda__192) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 426 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hi,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_hh,Uu))))) # label(fact_ATP_Olambda__193) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 427 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_he,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_hd,Uu))))) # label(fact_ATP_Olambda__194) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 428 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ha,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_gz,Uu))))) # label(fact_ATP_Olambda__195) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 429 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_gv,Uu))))) # label(fact_ATP_Olambda__196) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 430 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gs,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_gr,Uu))))) # label(fact_ATP_Olambda__197) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 431 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gp,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_go,Uu))))) # label(fact_ATP_Olambda__198) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 432 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gn,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_gm,Uu))))) # label(fact_ATP_Olambda__199) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 433 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gl,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_gk,Uu))))) # label(fact_ATP_Olambda__200) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 434 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gi,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_gh,Uu))))) # label(fact_ATP_Olambda__201) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 435 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ge,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_gd,Uu))))) # label(fact_ATP_Olambda__202) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 436 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_gb,Uu))))) # label(fact_ATP_Olambda__203) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 437 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_fy,Uu))))) # label(fact_ATP_Olambda__204) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 438 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_fv,Uu))))) # label(fact_ATP_Olambda__205) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 439 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ft,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_fs,Uu))))) # label(fact_ATP_Olambda__206) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 440 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_fp,Uu))))) # label(fact_ATP_Olambda__207) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 441 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fn,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_fm,Uu))))) # label(fact_ATP_Olambda__208) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 442 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_fj,Uu))))) # label(fact_ATP_Olambda__209) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 443 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_fg,Uu))))) # label(fact_ATP_Olambda__210) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 444 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fe,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_fd,Uu))))) # label(fact_ATP_Olambda__211) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 445 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fa,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ez,Uu))))) # label(fact_ATP_Olambda__212) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 446 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ew,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ev,Uu))))) # label(fact_ATP_Olambda__213) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 447 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_es,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_er,Uu))))) # label(fact_ATP_Olambda__214) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 448 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_eo,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_en,Uu))))) # label(fact_ATP_Olambda__215) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 449 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_el,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ek,Uu))))) # label(fact_ATP_Olambda__216) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 450 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ei,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_eh,Uu))))) # label(fact_ATP_Olambda__217) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 451 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ef,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ee,Uu))))) # label(fact_ATP_Olambda__218) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 452 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ec,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_eb,Uu))))) # label(fact_ATP_Olambda__219) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 453 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_dy,Uu))))) # label(fact_ATP_Olambda__220) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 454 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_dv,Uu))))) # label(fact_ATP_Olambda__221) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 455 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ds,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_dr,Uu))))) # label(fact_ATP_Olambda__222) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 456 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_do,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_dn,Uu))))) # label(fact_ATP_Olambda__223) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 457 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_dj,Uu))))) # label(fact_ATP_Olambda__224) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 458 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dg,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_df,Uu))))) # label(fact_ATP_Olambda__225) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 459 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_db,Uu))))) # label(fact_ATP_Olambda__226) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 460 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cy,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_cx,Uu))))) # label(fact_ATP_Olambda__227) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 461 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cu,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ct,Uu))))) # label(fact_ATP_Olambda__228) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 462 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_cp,Uu))))) # label(fact_ATP_Olambda__229) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 463 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cm,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_cl,Uu))))) # label(fact_ATP_Olambda__230) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 464 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ch,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cg,Uu))))) # label(fact_ATP_Olambda__231) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 465 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cf,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ce,Uu))))) # label(fact_ATP_Olambda__232) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 466 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,Uu))))) # label(fact_ATP_Olambda__233) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 467 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ab,Uu)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,Uu))))) # label(fact_ATP_Olambda__234) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 468 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ld,Uu)) <-> pp(aa_fun171081125l_bool(scratc597052143l_some(scratc1966585279d_frac),aa_TPT43085870d_bool(aTP_Lamm_lc,Uu))))) # label(fact_ATP_Olambda__235) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 469 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lb,Uu)) <-> pp(aa_fun171081125l_bool(scratc597052143l_some(scratc1966585279d_frac),aa_TPT43085870d_bool(aTP_Lamm_la,Uu))))) # label(fact_ATP_Olambda__236) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 470 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tb,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,scratc1611732084nd_n_1),aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uu))))) # label(fact_ATP_Olambda__237) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 471 (all Uu aa_TPT494704832TP_ind(aTP_Lamm_bv,Uu) = aa_TPT494704832TP_ind(scratc489797856d_repl,aa_TPTP_ind_TPTP_ind(scratc719836063tminus(Uu),aa_TPTP_ind_TPTP_ind(scratc510747202d_Sing,scratc1591736518ptyset)))) # label(fact_ATP_Olambda__238) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 472 (all Uu (gg_TPTP_ind(Uu) -> (pp(aa_TPTP_ind_bool(aTP_Lamm_at,Uu)) <-> Uu != scratc1591736518ptyset))) # label(fact_ATP_Olambda__239) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 473 (all Uu (gg_TPTP_ind(Uu) -> (pp(aa_TPTP_ind_bool(aTP_Lamm_bt,Uu)) <-> (exists X2 (gg_TPTP_ind(X2) & aa_TPTP_ind_TPTP_ind(scratc1335854879d_Inj1,X2) = Uu))))) # label(fact_ATP_Olambda__240) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 474 (all Uu (gg_TPTP_ind(Uu) -> (pp(aa_TPTP_ind_bool(aTP_Lamm_bu,Uu)) <-> (exists X2 (gg_TPTP_ind(X2) & aa_TPTP_ind_TPTP_ind(scratc1335854878d_Inj0,X2) = Uu))))) # label(fact_ATP_Olambda__241) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 475 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,Uu),Uua)) <-> scratc1941720897_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2081115645_rt_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1180647656t_more,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc317511020t_less,Uu),Uua)))) # label(fact_ATP_Olambda__242) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 476 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yw,Uu),Uua)) <-> scratc1941720897_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uu),Uua)))) # label(fact_ATP_Olambda__243) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 477 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_no,Uu),Uua)) <-> scratc1941720897_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uua)))) # label(fact_ATP_Olambda__244) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 478 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,Uu),Uua)) <-> pp(scratc1898430207nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2081115645_rt_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1180647656t_more,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc317511020t_less,Uu),Uua))))) # label(fact_ATP_Olambda__245) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 479 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yu,Uu),Uua)) <-> pp(scratc1898430207nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__246) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 480 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nm,Uu),Uua)) <-> pp(scratc1898430207nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__247) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 481 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ys,Uu),Uua)) <-> pp(scratc1814831172nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__248) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 482 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nk,Uu),Uua)) <-> pp(scratc1814831172nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__249) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 483 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ze,Uu),Uua)) <-> scratc1941720897_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc1340876785n_some,aa_TPT43085870d_bool(aTP_Lamm_zc(Uu),Uua)),aa_fun171081125l_bool(scratc1340876785n_some,aa_TPT43085870d_bool(aTP_Lamm_zd(Uu),Uua))))) # label(fact_ATP_Olambda__250) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 484 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_za,Uu),Uua)) <-> pp(scratc1898430207nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc1340876785n_some,aa_TPT43085870d_bool(scratc726149817ffprop(Uu),Uua)),aa_fun171081125l_bool(scratc1340876785n_some,aa_TPT43085870d_bool(scratc726149817ffprop(Uua),Uu)))))) # label(fact_ATP_Olambda__251) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 485 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yy,Uu),Uua)) <-> pp(scratc1814831172nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc1340876785n_some,aa_TPT43085870d_bool(scratc726149817ffprop(Uu),Uua)),aa_fun171081125l_bool(scratc1340876785n_some,aa_TPT43085870d_bool(scratc726149817ffprop(Uua),Uu)))))) # label(fact_ATP_Olambda__252) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 486 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abu,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1435549630d_e_is(Uu),Uua),Uua)))) # label(fact_ATP_Olambda__253) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 487 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nw,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc954013193d_n_fr,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1890365557nd_num,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1806700924nd_den,Uu)),Uua))),Uu)))) # label(fact_ATP_Olambda__254) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 488 (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(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uua)),Uua)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uu)),Uua))))) # label(fact_ATP_Olambda__255) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 489 (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(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uua)),Uu)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uua)))))) # label(fact_ATP_Olambda__256) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 490 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aah,Uu),Uua)) <-> pp(scratc876302756_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Uua),scratc1611732084nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uu)),aa_fun171081125l_bool(scratc301276580_n_all,aa_TPT43085870d_bool(aTP_Lamm_aq,Uua)))))) # label(fact_ATP_Olambda__257) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 491 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sn,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uua),scratc1611732084nd_n_1)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,Uua),Uu))))) # label(fact_ATP_Olambda__258) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 492 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sj,Uu),Uua)) <-> pp(scratc876302756_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Uua),scratc1611732084nd_n_1)),Uu),aa_fun171081125l_bool(scratc301276580_n_all,aa_TPT43085870d_bool(aTP_Lamm_ao(Uu),Uua)))))) # label(fact_ATP_Olambda__259) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 493 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aar,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__260) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 494 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sd,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uua)),Uua))))) # label(fact_ATP_Olambda__261) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 495 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sl,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uua)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,Uua),Uu))))) # label(fact_ATP_Olambda__262) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 496 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aab,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uua)))))) # label(fact_ATP_Olambda__263) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 497 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sr,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uua),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),scratc1611732084nd_n_1))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Uua),Uu))))) # label(fact_ATP_Olambda__264) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 498 (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(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uua)),Uu))))) # label(fact_ATP_Olambda__265) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 499 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sp,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uua),aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uu))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Uua),Uu))))) # label(fact_ATP_Olambda__266) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 500 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aae,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uua)))))) # label(fact_ATP_Olambda__267) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 501 (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(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Uu),aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Uu),Uua)))))) # label(fact_ATP_Olambda__268) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 502 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_go,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uua),aa_TPTP_ind_TPTP_ind(scratc137694966_367_w(Uu),Uua))),Uu))))) # label(fact_ATP_Olambda__269) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 503 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sv,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uua),scratc1611732084nd_n_1)),Uu))))) # label(fact_ATP_Olambda__270) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 504 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aam,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889578375nd_nis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889578375nd_nis,aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uua)))))) # label(fact_ATP_Olambda__271) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 505 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_as,Uu),Uua)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1848533243nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209986d_n_in,Uua),Uu)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209986d_n_in,aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uua)),Uu))))) # label(fact_ATP_Olambda__272) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 506 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_st,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uua)),Uu))))) # label(fact_ATP_Olambda__273) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 507 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gm,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uua),aa_TPTP_ind_TPTP_ind(scratc137694966_367_w(Uu),Uua))))))) # label(fact_ATP_Olambda__274) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 508 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sz,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,Uua),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),scratc1611732084nd_n_1)))))) # label(fact_ATP_Olambda__275) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 509 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sx,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,Uua),aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uu)))))) # label(fact_ATP_Olambda__276) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 510 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rv,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uua),Uu))))) # label(fact_ATP_Olambda__277) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 511 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zq,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uua),Uu))))) # label(fact_ATP_Olambda__278) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 512 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gd,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uua),Uu))))) # label(fact_ATP_Olambda__279) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 513 (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(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uua),Uu))))) # label(fact_ATP_Olambda__280) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 514 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yq,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uua),Uu))))) # label(fact_ATP_Olambda__281) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 515 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ym,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Uua),Uu))))) # label(fact_ATP_Olambda__282) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 516 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yk,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,Uua),Uu))))) # label(fact_ATP_Olambda__283) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 517 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lw,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc679803254lesseq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328843_moreq,Uua),Uu))))) # label(fact_ATP_Olambda__284) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 518 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cg,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2081115645_rt_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2081115645_rt_is,Uua),Uu))))) # label(fact_ATP_Olambda__285) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 519 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ly,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328843_moreq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc679803254lesseq,Uua),Uu))))) # label(fact_ATP_Olambda__286) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 520 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ni,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uua),Uu))))) # label(fact_ATP_Olambda__287) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 521 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ng,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uua),Uu))))) # label(fact_ATP_Olambda__288) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 522 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_od,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uua),Uu))))) # label(fact_ATP_Olambda__289) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 523 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yo,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uua),Uu))))) # label(fact_ATP_Olambda__290) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 524 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uua)) -> pp(aa_fun171081125l_bool(scratc597052143l_some(scratc1966585279d_frac),aa_TPT43085870d_bool(aTP_Lamm_gq(Uu),Uua)))))) # label(fact_ATP_Olambda__291) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 525 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ky,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uua)) -> pp(aa_fun171081125l_bool(scratc597052143l_some(scratc1966585279d_frac),aa_TPT43085870d_bool(aTP_Lamm_kx(Uu),Uua)))))) # label(fact_ATP_Olambda__292) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 526 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ya,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uu),Uua)) -> pp(scratc983767936_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Uu),Uua)))))) # label(fact_ATP_Olambda__293) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 527 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yi,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,Uu),Uua)) -> pp(scratc983767936_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uu),Uua)))))) # label(fact_ATP_Olambda__294) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 528 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yg,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Uu),Uua)) -> pp(scratc983767936_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uu),Uua)))))) # label(fact_ATP_Olambda__295) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 529 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mu,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc679803254lesseq,Uu),Uua)) -> pp(scratc983767936_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uua)))))) # label(fact_ATP_Olambda__296) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 530 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mw,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328843_moreq,Uu),Uua)) -> pp(scratc983767936_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uua)))))) # label(fact_ATP_Olambda__297) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 531 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mo,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uua)) -> pp(scratc983767936_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc679803254lesseq,Uu),Uua)))))) # label(fact_ATP_Olambda__298) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 532 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mm,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uua)) -> pp(scratc983767936_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328843_moreq,Uu),Uua)))))) # label(fact_ATP_Olambda__299) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 533 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xy,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uu),Uua)) -> pp(scratc983767936_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,Uu),Uua)))))) # label(fact_ATP_Olambda__300) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 534 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xa,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uua)),Uu)))) # label(fact_ATP_Olambda__301) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 535 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kf,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uu),Uua)),Uu)))) # label(fact_ATP_Olambda__302) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 536 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_am(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Uu),Uua)),Uua)) # label(fact_ATP_Olambda__303) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 537 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_bs(Uu),Uua) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc489797856d_repl,aa_TPTP_ind_TPTP_ind(Uu,Uua)),aa_TPT1424761345TP_ind(scratc1042601899d_pair,Uua))) # label(fact_ATP_Olambda__304) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 538 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aax,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_aav,Uu)),aa_TPT43085870d_bool(aTP_Lamm_aaw(Uu),Uua))))) # label(fact_ATP_Olambda__305) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 539 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zv,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uua))),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uu)),Uua))))) # label(fact_ATP_Olambda__306) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 540 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zy,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uua))),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uua)))))) # label(fact_ATP_Olambda__307) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 541 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ye,Uu),Uua)) <-> (pp(scratc983767936_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Uu),Uua))))) # label(fact_ATP_Olambda__308) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 542 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xw,Uu),Uua)) <-> (pp(scratc983767936_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__309) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 543 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xu,Uu),Uua)) <-> (pp(scratc983767936_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__310) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 544 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mi,Uu),Uua)) <-> (pp(scratc983767936_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc679803254lesseq,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uua))))) # label(fact_ATP_Olambda__311) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 545 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mk,Uu),Uua)) <-> (pp(scratc983767936_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328843_moreq,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__312) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 546 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ms,Uu),Uua)) <-> (pp(scratc983767936_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc679803254lesseq,Uu),Uua))))) # label(fact_ATP_Olambda__313) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 547 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mq,Uu),Uua)) <-> (pp(scratc983767936_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328843_moreq,Uu),Uua))))) # label(fact_ATP_Olambda__314) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 548 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yc,Uu),Uua)) <-> (pp(scratc983767936_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,Uu),Uua))))) # label(fact_ATP_Olambda__315) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 549 (all Uu all Uua aa_fun277296641TP_ind(aa_TPT494704832TP_ind(aTP_Lamm_bw,Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc803550521nunion(aa_TPTP_ind_TPTP_ind(scratc510747202d_Sing,scratc1591736518ptyset)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc489797856d_repl,Uu),Uua))) # label(fact_ATP_Olambda__316) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 550 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ny,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc954013193d_n_fr,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1890365557nd_num,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1806700924nd_den,Uu)),Uua)))))) # label(fact_ATP_Olambda__317) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 551 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kd,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uu),Uua))))) # label(fact_ATP_Olambda__318) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 552 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zo,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889578375nd_nis,Uua),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uua))))) # label(fact_ATP_Olambda__319) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 553 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wy,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uu),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uua))))) # label(fact_ATP_Olambda__320) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 554 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ar,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uua))))) # label(fact_ATP_Olambda__321) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 555 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aav,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,Uua),aa_TPTP_ind_TPTP_ind(scratc888361940_power,Uu))))) # label(fact_ATP_Olambda__322) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 556 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ak,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Uua),Uu)))) # label(fact_ATP_Olambda__323) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 557 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lc,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uua),Uu)))) # label(fact_ATP_Olambda__324) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 558 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_la,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uua),Uu)))) # label(fact_ATP_Olambda__325) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 559 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aap,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209986d_n_in,Uua),Uu)))) # label(fact_ATP_Olambda__326) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 560 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bx,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1887479202nd_nIn,Uua),Uu)))) # label(fact_ATP_Olambda__327) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 561 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_au,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,Uua),Uu)))) # label(fact_ATP_Olambda__328) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 562 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_zs(Uu),Uua))))) # label(fact_ATP_Olambda__329) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 563 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_zl(Uu),Uua))))) # label(fact_ATP_Olambda__330) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 564 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_zi(Uu),Uua))))) # label(fact_ATP_Olambda__331) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 565 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xs,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_xr(Uu),Uua))))) # label(fact_ATP_Olambda__332) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 566 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_xo(Uu),Uua))))) # label(fact_ATP_Olambda__333) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 567 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_xl(Uu),Uua))))) # label(fact_ATP_Olambda__334) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 568 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_xi(Uu),Uua))))) # label(fact_ATP_Olambda__335) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 569 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_xf(Uu),Uua))))) # label(fact_ATP_Olambda__336) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 570 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_xc(Uu),Uua))))) # label(fact_ATP_Olambda__337) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 571 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_wt(Uu),Uua))))) # label(fact_ATP_Olambda__338) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 572 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_wq(Uu),Uua))))) # label(fact_ATP_Olambda__339) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 573 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wo,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_wn(Uu),Uua))))) # label(fact_ATP_Olambda__340) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 574 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_wk(Uu),Uua))))) # label(fact_ATP_Olambda__341) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 575 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wi,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_wh(Uu),Uua))))) # label(fact_ATP_Olambda__342) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 576 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_we(Uu),Uua))))) # label(fact_ATP_Olambda__343) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 577 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_wb(Uu),Uua))))) # label(fact_ATP_Olambda__344) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 578 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_vx(Uu),Uua))))) # label(fact_ATP_Olambda__345) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 579 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_vt(Uu),Uua))))) # label(fact_ATP_Olambda__346) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 580 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_vp(Uu),Uua))))) # label(fact_ATP_Olambda__347) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 581 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_vl(Uu),Uua))))) # label(fact_ATP_Olambda__348) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 582 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_vi(Uu),Uua))))) # label(fact_ATP_Olambda__349) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 583 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_vf(Uu),Uua))))) # label(fact_ATP_Olambda__350) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 584 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_vc(Uu),Uua))))) # label(fact_ATP_Olambda__351) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 585 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_va,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_uz(Uu),Uua))))) # label(fact_ATP_Olambda__352) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 586 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ux,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_uw(Uu),Uua))))) # label(fact_ATP_Olambda__353) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 587 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_ut(Uu),Uua))))) # label(fact_ATP_Olambda__354) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 588 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ur,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_uq(Uu),Uua))))) # label(fact_ATP_Olambda__355) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 589 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uo,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_un(Uu),Uua))))) # label(fact_ATP_Olambda__356) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 590 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ul,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_uk(Uu),Uua))))) # label(fact_ATP_Olambda__357) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 591 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ui,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_uh(Uu),Uua))))) # label(fact_ATP_Olambda__358) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 592 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ue,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_ud(Uu),Uua))))) # label(fact_ATP_Olambda__359) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 593 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ua,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_tz(Uu),Uua))))) # label(fact_ATP_Olambda__360) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 594 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_tv(Uu),Uua))))) # label(fact_ATP_Olambda__361) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 595 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ts,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_tr(Uu),Uua))))) # label(fact_ATP_Olambda__362) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 596 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_to,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_tn(Uu),Uua))))) # label(fact_ATP_Olambda__363) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 597 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_tj(Uu),Uua))))) # label(fact_ATP_Olambda__364) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 598 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_tf(Uu),Uua))))) # label(fact_ATP_Olambda__365) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 599 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_rs(Uu),Uua))))) # label(fact_ATP_Olambda__366) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 600 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_rp(Uu),Uua))))) # label(fact_ATP_Olambda__367) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 601 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_rm(Uu),Uua))))) # label(fact_ATP_Olambda__368) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 602 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_rj(Uu),Uua))))) # label(fact_ATP_Olambda__369) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 603 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_rg(Uu),Uua))))) # label(fact_ATP_Olambda__370) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 604 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_re,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_rd(Uu),Uua))))) # label(fact_ATP_Olambda__371) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 605 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_ra(Uu),Uua))))) # label(fact_ATP_Olambda__372) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 606 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_qx(Uu),Uua))))) # label(fact_ATP_Olambda__373) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 607 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_qu(Uu),Uua))))) # label(fact_ATP_Olambda__374) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 608 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_qq(Uu),Uua))))) # label(fact_ATP_Olambda__375) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 609 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_qm(Uu),Uua))))) # label(fact_ATP_Olambda__376) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 610 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_qi(Uu),Uua))))) # label(fact_ATP_Olambda__377) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 611 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_qe(Uu),Uua))))) # label(fact_ATP_Olambda__378) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 612 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_qb(Uu),Uua))))) # label(fact_ATP_Olambda__379) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 613 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_py(Uu),Uua))))) # label(fact_ATP_Olambda__380) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 614 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_pv(Uu),Uua))))) # label(fact_ATP_Olambda__381) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 615 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_ps(Uu),Uua))))) # label(fact_ATP_Olambda__382) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 616 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_pp(Uu),Uua))))) # label(fact_ATP_Olambda__383) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.72 617 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_pm(Uu),Uua))))) # label(fact_ATP_Olambda__384) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 618 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_pj(Uu),Uua))))) # label(fact_ATP_Olambda__385) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 619 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_pf(Uu),Uua))))) # label(fact_ATP_Olambda__386) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 620 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_pb(Uu),Uua))))) # label(fact_ATP_Olambda__387) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 621 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_ox(Uu),Uua))))) # label(fact_ATP_Olambda__388) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 622 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ou,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_ot(Uu),Uua))))) # label(fact_ATP_Olambda__389) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 623 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_op(Uu),Uua))))) # label(fact_ATP_Olambda__390) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 624 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_om,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_ol(Uu),Uua))))) # label(fact_ATP_Olambda__391) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 625 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oi,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_oh(Uu),Uua))))) # label(fact_ATP_Olambda__392) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 626 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_nt(Uu),Uua))))) # label(fact_ATP_Olambda__393) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 627 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_nq(Uu),Uua))))) # label(fact_ATP_Olambda__394) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 628 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_kq(Uu),Uua))))) # label(fact_ATP_Olambda__395) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 629 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ko,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aTP_Lamm_kn(Uu),Uua))))) # label(fact_ATP_Olambda__396) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 630 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ob,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_oa(Uu),Uua))))) # label(fact_ATP_Olambda__397) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 631 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ne,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_nd(Uu),Uua))))) # label(fact_ATP_Olambda__398) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 632 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_na,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_mz(Uu),Uua))))) # label(fact_ATP_Olambda__399) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 633 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_mf(Uu),Uua))))) # label(fact_ATP_Olambda__400) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 634 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_mb(Uu),Uua))))) # label(fact_ATP_Olambda__401) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 635 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_lt(Uu),Uua))))) # label(fact_ATP_Olambda__402) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 636 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_lq(Uu),Uua))))) # label(fact_ATP_Olambda__403) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 637 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lo,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ln(Uu),Uua))))) # label(fact_ATP_Olambda__404) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 638 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ll,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_lk(Uu),Uua))))) # label(fact_ATP_Olambda__405) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 639 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_li,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_lh(Uu),Uua))))) # label(fact_ATP_Olambda__406) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 640 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_le(Uu),Uua))))) # label(fact_ATP_Olambda__407) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 641 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ku(Uu),Uua))))) # label(fact_ATP_Olambda__408) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 642 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ki,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_kh(Uu),Uua))))) # label(fact_ATP_Olambda__409) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 643 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ka(Uu),Uua))))) # label(fact_ATP_Olambda__410) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 644 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_jx(Uu),Uua))))) # label(fact_ATP_Olambda__411) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 645 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ju(Uu),Uua))))) # label(fact_ATP_Olambda__412) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 646 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_js,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_jr(Uu),Uua))))) # label(fact_ATP_Olambda__413) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 647 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_jo(Uu),Uua))))) # label(fact_ATP_Olambda__414) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 648 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_jl(Uu),Uua))))) # label(fact_ATP_Olambda__415) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 649 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ji(Uu),Uua))))) # label(fact_ATP_Olambda__416) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 650 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_je(Uu),Uua))))) # label(fact_ATP_Olambda__417) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 651 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ja(Uu),Uua))))) # label(fact_ATP_Olambda__418) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 652 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ix,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_iw(Uu),Uua))))) # label(fact_ATP_Olambda__419) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 653 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_it,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_is(Uu),Uua))))) # label(fact_ATP_Olambda__420) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 654 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ip(Uu),Uua))))) # label(fact_ATP_Olambda__421) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 655 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_in,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_im(Uu),Uua))))) # label(fact_ATP_Olambda__422) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 656 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ik,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ij(Uu),Uua))))) # label(fact_ATP_Olambda__423) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 657 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ih,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ig(Uu),Uua))))) # label(fact_ATP_Olambda__424) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 658 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ie,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_id(Uu),Uua))))) # label(fact_ATP_Olambda__425) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 659 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ib,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ia(Uu),Uua))))) # label(fact_ATP_Olambda__426) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 660 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_hw(Uu),Uua))))) # label(fact_ATP_Olambda__427) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 661 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ht,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_hs(Uu),Uua))))) # label(fact_ATP_Olambda__428) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 662 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ho(Uu),Uua))))) # label(fact_ATP_Olambda__429) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 663 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_hk(Uu),Uua))))) # label(fact_ATP_Olambda__430) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 664 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_hg(Uu),Uua))))) # label(fact_ATP_Olambda__431) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 665 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_hc(Uu),Uua))))) # label(fact_ATP_Olambda__432) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 666 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_gy(Uu),Uua))))) # label(fact_ATP_Olambda__433) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 667 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_gu(Uu),Uua))))) # label(fact_ATP_Olambda__434) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 668 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_gj(Uu),Uua))))) # label(fact_ATP_Olambda__435) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 669 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_gg(Uu),Uua))))) # label(fact_ATP_Olambda__436) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 670 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ga(Uu),Uua))))) # label(fact_ATP_Olambda__437) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 671 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_fx(Uu),Uua))))) # label(fact_ATP_Olambda__438) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 672 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_fu(Uu),Uua))))) # label(fact_ATP_Olambda__439) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 673 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fs,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_fr(Uu),Uua))))) # label(fact_ATP_Olambda__440) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 674 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_fo(Uu),Uua))))) # label(fact_ATP_Olambda__441) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 675 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_fl(Uu),Uua))))) # label(fact_ATP_Olambda__442) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 676 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_fi(Uu),Uua))))) # label(fact_ATP_Olambda__443) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 677 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ff(Uu),Uua))))) # label(fact_ATP_Olambda__444) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 678 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_fc(Uu),Uua))))) # label(fact_ATP_Olambda__445) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 679 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ez,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ey(Uu),Uua))))) # label(fact_ATP_Olambda__446) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 680 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ev,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_eu(Uu),Uua))))) # label(fact_ATP_Olambda__447) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 681 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_er,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_eq(Uu),Uua))))) # label(fact_ATP_Olambda__448) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 682 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_en,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_em(Uu),Uua))))) # label(fact_ATP_Olambda__449) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 683 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ek,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ej(Uu),Uua))))) # label(fact_ATP_Olambda__450) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 684 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_eg(Uu),Uua))))) # label(fact_ATP_Olambda__451) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 685 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ee,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ed(Uu),Uua))))) # label(fact_ATP_Olambda__452) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 686 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_ea(Uu),Uua))))) # label(fact_ATP_Olambda__453) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 687 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_dx(Uu),Uua))))) # label(fact_ATP_Olambda__454) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 688 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_du(Uu),Uua))))) # label(fact_ATP_Olambda__455) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 689 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_dq(Uu),Uua))))) # label(fact_ATP_Olambda__456) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 690 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_dm(Uu),Uua))))) # label(fact_ATP_Olambda__457) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 691 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_di(Uu),Uua))))) # label(fact_ATP_Olambda__458) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 692 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_de(Uu),Uua))))) # label(fact_ATP_Olambda__459) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 693 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_db,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_da(Uu),Uua))))) # label(fact_ATP_Olambda__460) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 694 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_cw(Uu),Uua))))) # label(fact_ATP_Olambda__461) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 695 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ct,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_cs(Uu),Uua))))) # label(fact_ATP_Olambda__462) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 696 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aTP_Lamm_co(Uu),Uua))))) # label(fact_ATP_Olambda__463) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 697 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ce,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cd(Uu),Uua))))) # label(fact_ATP_Olambda__464) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 698 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc597052143l_some(scratc1966585279d_frac),aa_TPT43085870d_bool(aTP_Lamm_ck(Uu),Uua))))) # label(fact_ATP_Olambda__465) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 699 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zg,Uu),Uua)) <-> pp(scratc1495574377_amone(scratc1889053584nd_nat,aa_TPT43085870d_bool(aTP_Lamm_zc(Uu),Uua))))) # label(fact_ATP_Olambda__466) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 700 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_ap(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Uu),Uua))) # label(fact_ATP_Olambda__467) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 701 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_bp(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1395623806_union,aa_TPTP_ind_TPTP_ind(Uu,Uua))) # label(fact_ATP_Olambda__468) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 702 (all Uu all Uua (gg_TPTP_ind(Uua) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br,Uu),Uua)) <-> (exists X3 (gg_TPTP_ind(X3) & Uua = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1042601899d_pair,Uu),X3)))))) # label(fact_ATP_Olambda__469) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 703 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abf(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1435549630d_e_is(aa_TPTP_ind_TPTP_ind(scratc202940360etprod(Uu),Uua)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1606519469d_pair(Uu,Uua),aa_TPTP_ind_TPTP_ind(scratc1948675903_first(Uu,Uua),Uub)),aa_TPTP_ind_TPTP_ind(scratc1499421285second(Uu,Uua),Uub))),Uub)))) # label(fact_ATP_Olambda__470) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 704 (all Uu all Uua all Uub aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aTP_Lamm_bz(Uu),Uua),Uub) = aa_TPTP_ind_TPTP_ind(scratc486132910bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,scratc1591736518ptyset),Uub),Uu),Uua)) # label(fact_ATP_Olambda__471) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 705 (all Uu all Uua all Uub aa_TPTP_ind_TPTP_ind(aa_fun1235454963TP_ind(aTP_Lamm_by(Uu),Uua),Uub) = aa_TPTP_ind_TPTP_ind(scratc486132910bnd_if(aa_TPTP_ind_bool(Uua,Uub),Uub),scratc1815684023nd_eps(aa_fun1584354236d_bool(aTP_Lamm_bm(Uu),Uua)))) # label(fact_ATP_Olambda__472) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 706 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bf(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1195505972d_esti(Uu),Uub),Uua)))) # label(fact_ATP_Olambda__473) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 707 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_aay(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1195505972d_esti(Uu),Uub),aa_fun1431113780TP_ind(scratc760051307_d_Sep(Uu),Uua))) -> pp(aa_TPTP_ind_bool(Uua,Uub))))) # label(fact_ATP_Olambda__474) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 708 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aaw(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2127948415d_incl(Uu),Uua),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2127948415d_incl(Uu),Uub),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1435549630d_e_is(aa_TPTP_ind_TPTP_ind(scratc888361940_power,Uu)),Uua),Uub)))))) # label(fact_ATP_Olambda__475) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 709 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abg(Uu),Uua),Uub)) <-> scratc1888847154_is_of(aa_TPTP_ind_TPTP_ind(scratc1499421285second(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_au,Uua)))) # label(fact_ATP_Olambda__476) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 710 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abh(Uu),Uua),Uub)) <-> scratc1888847154_is_of(aa_TPTP_ind_TPTP_ind(scratc1948675903_first(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_au,Uu)))) # label(fact_ATP_Olambda__477) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 711 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_abn(Uu),Uua),Uub)) <-> scratc1888847154_is_of(aa_TPTP_ind_TPTP_ind(scratc1435549625d_e_in(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_au,Uu)))) # label(fact_ATP_Olambda__478) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 712 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abr(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_abo(Uu),Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_abq(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__479) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 713 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kq(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc954013193d_n_fr,Uu),Uub)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc954013193d_n_fr,Uua),Uub))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc954013193d_n_fr,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uua)),Uub))))) # label(fact_ATP_Olambda__480) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 714 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nq(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc954013193d_n_fr,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uua),Uub))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc954013193d_n_fr,Uu),Uua))))) # label(fact_ATP_Olambda__481) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 715 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ps(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__482) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 716 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uz(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__483) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 717 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__484) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 718 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_em(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uua))))) # label(fact_ATP_Olambda__485) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 719 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ed(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uua))))) # label(fact_ATP_Olambda__486) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 720 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_is(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uua))))) # label(fact_ATP_Olambda__487) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 721 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ij(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uua))))) # label(fact_ATP_Olambda__488) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 722 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eg(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__489) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 723 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dx(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__490) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 724 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_im(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__491) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 725 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_id(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__492) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 726 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pp(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__493) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 727 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zi(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uua),Uub))))) # label(fact_ATP_Olambda__494) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 728 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uw(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__495) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 729 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_un(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__496) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 730 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ej(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uua))))) # label(fact_ATP_Olambda__497) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 731 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ea(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uua))))) # label(fact_ATP_Olambda__498) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 732 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ip(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uua))))) # label(fact_ATP_Olambda__499) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 733 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ig(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uua))))) # label(fact_ATP_Olambda__500) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 734 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pm(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__501) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 735 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ut(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__502) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 736 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uk(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__503) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 737 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kn(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc954013193d_n_fr,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc954013193d_n_fr,Uu),Uub)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc954013193d_n_fr,Uua),Uub)))))) # label(fact_ATP_Olambda__504) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 738 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rp(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__505) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 739 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zs(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__506) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 740 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ga(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uu),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uua),Uub)))))) # label(fact_ATP_Olambda__507) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 741 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kh(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uu),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__508) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 742 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rs(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uua),Uub))),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uub)))))) # label(fact_ATP_Olambda__509) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 743 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fx(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uu),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uua),Uub))),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uu),Uub)))))) # label(fact_ATP_Olambda__510) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 744 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ao(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(scratc569017266rdsucc,Uub))),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Uua),Uub)),Uu))))) # label(fact_ATP_Olambda__511) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 745 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gj(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uua),Uub)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uub),aa_TPTP_ind_TPTP_ind(scratc137694966_367_w(Uu),Uua))))))) # label(fact_ATP_Olambda__512) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 746 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nt(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc954013193d_n_fr,Uu),Uua)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc954013193d_n_fr,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__513) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 747 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rm(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__514) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 748 (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(scratc48786170_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__515) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 749 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wt(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__516) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 750 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wk(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__517) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 751 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xf(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uu),Uub)))))) # label(fact_ATP_Olambda__518) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 752 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qe(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__519) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 753 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qb(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__520) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 754 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vl(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__521) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 755 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vi(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__522) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 756 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xi(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uu),Uub)))))) # label(fact_ATP_Olambda__523) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 757 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_py(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__524) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 758 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pv(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__525) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 759 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vf(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__526) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 760 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vc(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__527) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 761 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xc(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Uu),Uub)))))) # label(fact_ATP_Olambda__528) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 762 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xo(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__529) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 763 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_le(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc679803254lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc679803254lesseq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc679803254lesseq,Uu),Uub)))))) # label(fact_ATP_Olambda__530) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 764 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc679803254lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__531) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 765 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cd(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2081115645_rt_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2081115645_rt_is,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2081115645_rt_is,Uu),Uub)))))) # label(fact_ATP_Olambda__532) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 766 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lk(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328843_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uub)))))) # label(fact_ATP_Olambda__533) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 767 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fu(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uua),Uub)))))) # label(fact_ATP_Olambda__534) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 768 (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(scratc1723328832_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uub),Uua)))))) # label(fact_ATP_Olambda__535) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 769 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ka(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__536) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 770 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jr(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uub),Uua)))))) # label(fact_ATP_Olambda__537) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 771 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lh(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328843_moreq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uub)))))) # label(fact_ATP_Olambda__538) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 772 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fo(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uua),Uub)))))) # label(fact_ATP_Olambda__539) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 773 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ff(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uub),Uua)))))) # label(fact_ATP_Olambda__540) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 774 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ju(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__541) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 775 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jl(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uub),Uua)))))) # label(fact_ATP_Olambda__542) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 776 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ln(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc679803254lesseq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__543) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 777 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lt(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__544) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 778 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rj(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__545) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 779 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ra(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__546) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 780 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__547) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 781 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wh(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__548) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 782 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fr(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uua),Uub)))))) # label(fact_ATP_Olambda__549) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 783 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fi(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uub),Uua)))))) # label(fact_ATP_Olambda__550) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 784 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jx(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__551) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 785 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jo(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uub),Uua)))))) # label(fact_ATP_Olambda__552) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 786 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oa(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uub)))))) # label(fact_ATP_Olambda__553) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 787 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zl(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889578375nd_nis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1889578375nd_nis,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uub)))))) # label(fact_ATP_Olambda__554) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 788 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rg(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__555) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 789 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qx(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__556) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 790 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wn(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__557) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 791 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_we(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__558) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 792 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xl(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__559) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 793 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xr(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__560) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 794 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kx(Uu),Uua),Uub)) <-> pp(scratc876302756_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uub),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uub),Uua))))) # label(fact_ATP_Olambda__561) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 795 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_bm(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,Uub),Uu)) & pp(aa_TPTP_ind_bool(Uua,Uub)))) # label(fact_ATP_Olambda__562) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 796 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ck(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uua),Uub)),Uu)))) # label(fact_ATP_Olambda__563) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 797 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gq(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uua),Uub)),Uu)))) # label(fact_ATP_Olambda__564) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 798 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_abk(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1906033834_image(aa_fun1431113780TP_ind(scratc760051307_d_Sep(Uu),Uua),Uu),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1555874706_Sigma,aa_fun1431113780TP_ind(scratc760051307_d_Sep(Uu),Uua)),scratc1435549625d_e_in(Uu,Uua))),Uub))))) # label(fact_ATP_Olambda__565) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 799 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_aaz(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1195505972d_esti(Uu),Uub),aa_fun1431113780TP_ind(scratc760051307_d_Sep(Uu),Uua)))))) # label(fact_ATP_Olambda__566) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 800 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_abt(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uu)),aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_abs(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__567) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 801 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_bo(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uu)),aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_bn(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__568) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 802 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abj(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_abi(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__569) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 803 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abd(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_abc(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__570) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 804 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abb(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aba(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__571) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 805 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abo(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,Uub),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc294345356d_d_Pi,Uu),aTP_Lamm_aj(Uua)))))) # label(fact_ATP_Olambda__572) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 806 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zc(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uua),Uub))))) # label(fact_ATP_Olambda__573) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 807 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zd(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uua),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uub))))) # label(fact_ATP_Olambda__574) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 808 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abe(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,Uub),aa_TPTP_ind_TPTP_ind(scratc202940360etprod(Uu),Uua))))) # label(fact_ATP_Olambda__575) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 809 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_abl(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,Uub),aa_fun1431113780TP_ind(scratc760051307_d_Sep(Uu),Uua))))) # label(fact_ATP_Olambda__576) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 810 (all Uu all Uua all Uub aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aTP_Lamm_bh(Uu),Uua),Uub) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Uu),Uub))) # label(fact_ATP_Olambda__577) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 811 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wb(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wa(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__578) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 812 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vx(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_vw(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__579) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 813 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vt(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_vs(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__580) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 814 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vp(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_vo(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__581) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 815 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uh(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ug(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__582) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 816 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ud(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_uc(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__583) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 817 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tz(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ty(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__584) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 818 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tv(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tu(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__585) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 819 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tr(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tq(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__586) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 820 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tn(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tm(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__587) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 821 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tj(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ti(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__588) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 822 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tf(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_te(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__589) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 823 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qu(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qt(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__590) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 824 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qq(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qp(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__591) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 825 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qm(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ql(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__592) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 826 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qi(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qh(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__593) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 827 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pj(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pi(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__594) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 828 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pf(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pe(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__595) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 829 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pb(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pa(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__596) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 830 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ox(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ow(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__597) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 831 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ot(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_os(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__598) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 832 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_op(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_oo(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__599) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 833 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ol(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ok(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__600) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 834 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oh(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_km),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_og(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__601) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 835 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nd(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_nc(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__602) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 836 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mz(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_my(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__603) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 837 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mf(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_me(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__604) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 838 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mb(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ma(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__605) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 839 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ku(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_kt(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__606) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 840 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ji(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jh(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__607) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 841 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_je(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jd(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__608) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 842 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ja(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_iz(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__609) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 843 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iw(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_iv(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__610) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 844 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ia(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hz(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__611) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 845 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hw(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hv(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__612) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 846 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hs(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hr(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__613) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 847 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ho(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hn(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__614) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 848 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hk(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hj(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__615) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 849 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hg(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hf(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__616) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 850 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hc(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hb(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__617) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 851 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gy(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gx(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__618) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 852 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gu(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gt(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__619) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 853 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gg(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gf(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__620) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 854 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fc(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fb(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__621) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 855 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ey(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ex(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__622) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 856 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eu(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_et(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__623) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 857 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eq(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ep(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__624) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 858 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_du(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dt(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__625) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 859 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dq(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dp(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__626) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 860 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dm(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__627) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 861 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_di(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dh(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__628) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 862 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_de(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dd(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__629) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 863 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_da(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cz(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__630) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 864 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cw(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cv(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__631) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 865 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cs(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cr(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__632) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 866 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_co(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aTP_Lamm_cj),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cn(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__633) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 867 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_af(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc597052143l_some(scratc1966585279d_frac),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ae(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__634) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 868 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ad(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc597052143l_some(scratc1966585279d_frac),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ac(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__635) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 869 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_abm(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(Uua,aa_TPTP_ind_TPTP_ind(scratc1435549625d_e_in(Uu,Uua),Uub))))) # label(fact_ATP_Olambda__636) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 870 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1913827119d_bool(aTP_Lamm_bq(Uu),Uua),Uub)) <-> (all X3 (gg_TPTP_ind(X3) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,X3),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc486132918bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Uub),X3)),aa_TPTP_ind_TPTP_ind(Uua,X3)))))))) # label(fact_ATP_Olambda__637) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 871 (all Uu all Uua all Uub all Uuc aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ai(Uu),Uua),Uub),Uuc) = aa_TPTP_ind_TPTP_ind(scratc1848992425nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1435549630d_e_is(aa_TPTP_ind_TPTP_ind(scratc480144121_d_1to,scratc1611732085nd_n_2)),Uuc),scratc950536448d_n_1t),Uu,Uua),Uub)) # label(fact_ATP_Olambda__638) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 872 (all Uu all Uua all Uub all Uuc aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_bi(Uu),Uua),Uub),Uuc) = aa_TPTP_ind_TPTP_ind(scratc486132910bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1906033834_image(Uu,Uua),Uub),Uuc),aa_TPTP_ind_TPTP_ind(scratc1352344123d_soft(Uu,Uua,Uub),Uuc)),scratc1591736518ptyset)) # label(fact_ATP_Olambda__639) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 873 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ae(Uu),Uua),Uub),Uuc)) <-> scratc178283661d_and3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848598832nd_inf,Uub),aa_TPTP_ind_TPTP_ind(scratc731299047_class,Uu)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848598832nd_inf,Uuc),aa_TPTP_ind_TPTP_ind(scratc731299047_class,Uua)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uub),Uuc)))) # label(fact_ATP_Olambda__640) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 874 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ac(Uu),Uua),Uub),Uuc)) <-> scratc178283661d_and3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848598832nd_inf,Uub),aa_TPTP_ind_TPTP_ind(scratc731299047_class,Uu)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848598832nd_inf,Uuc),aa_TPTP_ind_TPTP_ind(scratc731299047_class,Uua)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uub),Uuc)))) # label(fact_ATP_Olambda__641) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 875 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_abc(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1435549630d_e_is(Uu),aa_TPTP_ind_TPTP_ind(scratc1948675903_first(Uu,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1606519469d_pair(Uu,Uua),Uub),Uuc))),Uub)))) # label(fact_ATP_Olambda__642) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.73 876 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aba(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1435549630d_e_is(Uua),aa_TPTP_ind_TPTP_ind(scratc1499421285second(Uu,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1606519469d_pair(Uu,Uua),Uub),Uuc))),Uuc)))) # label(fact_ATP_Olambda__643) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 877 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_abp(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1435549630d_e_is(Uu),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Uua),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Uub),Uuc))))) # label(fact_ATP_Olambda__644) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 878 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bb(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1195505972d_esti(Uu),Uub),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Uua),Uuc))))) # label(fact_ATP_Olambda__645) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 879 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bj(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1435549630d_e_is(Uu),Uub),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Uua),Uuc))))) # label(fact_ATP_Olambda__646) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 880 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_abi(Uu),Uua),Uub),Uuc)) <-> scratc1888847154_is_of(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1606519469d_pair(Uu,Uua),Uub),Uuc),aa_TPT43085870d_bool(aTP_Lamm_abe(Uu),Uua)))) # label(fact_ATP_Olambda__647) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 881 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bd(Uu),Uua),Uub),Uuc)) <-> pp(scratc822302649d_l_ec(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1195505972d_esti(Uu),Uuc),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1195505972d_esti(Uu),Uuc),Uub))))) # label(fact_ATP_Olambda__648) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 882 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_be(Uu),Uua),Uub),Uuc)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1848533243nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1195505972d_esti(Uu),Uuc),Uua)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1195505972d_esti(Uu),Uuc),Uub))))) # label(fact_ATP_Olambda__649) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 883 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cn(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uua),Uub)),Uu)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uua),Uuc)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uub),Uuc)))))) # label(fact_ATP_Olambda__650) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 884 (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(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uua),Uub)),Uu)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uua),Uuc)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uub),Uuc)))))) # label(fact_ATP_Olambda__651) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 885 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_abq(Uu),Uua),Uub),Uuc)) <-> (pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_abp(Uua),Uub),Uuc))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1435549630d_e_is(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc294345356d_d_Pi,Uu),aTP_Lamm_aj(Uua))),Uub),Uuc))))) # label(fact_ATP_Olambda__652) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 886 (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_ca(Uu),Uua),Uub),Uuc)) <-> pp(Uu) & Uuc = Uua | -pp(Uu) & Uuc = Uub))) # label(fact_ATP_Olambda__653) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 887 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pi(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__654) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 888 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ug(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__655) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 889 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ow(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__656) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 890 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tu(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__657) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 891 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pa(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__658) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 892 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ty(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__659) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 893 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ok(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__660) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 894 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ti(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc814049264moreis,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__661) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 895 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_og(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__662) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 896 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_te(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__663) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 897 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_os(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__664) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 898 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tq(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__665) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 899 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cr(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc679803254lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc679803254lesseq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc679803254lesseq,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__666) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 900 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gx(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc679803254lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc679803254lesseq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc679803254lesseq,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__667) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 901 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dd(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc679803254lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__668) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 902 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hj(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc679803254lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__669) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 903 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ma(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc679803254lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc679803254lesseq,Uub),Uuc))))))) # label(fact_ATP_Olambda__670) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 904 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cv(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328843_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328843_moreq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328843_moreq,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__671) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 905 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hb(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328843_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328843_moreq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328843_moreq,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__672) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 906 (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(scratc1723328843_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__673) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 907 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hr(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328843_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__674) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 908 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_me(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328843_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328843_moreq,Uub),Uuc))))))) # label(fact_ATP_Olambda__675) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 909 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dh(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328843_moreq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__676) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 910 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hn(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328843_moreq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__677) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 911 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dt(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__678) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 912 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hz(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__679) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 913 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_nc(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uub),Uuc))))))) # label(fact_ATP_Olambda__680) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 914 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cz(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc679803254lesseq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__681) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 915 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hf(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc679803254lesseq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__682) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 916 (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(scratc1377007036_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__683) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 917 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hv(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__684) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 918 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_my(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uub),Uuc))))))) # label(fact_ATP_Olambda__685) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 919 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qt(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__686) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 920 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qp(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uuc),Uua))))))) # label(fact_ATP_Olambda__687) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 921 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wa(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__688) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 922 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_vw(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48786170_29_ii,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uuc),Uua))))))) # label(fact_ATP_Olambda__689) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 923 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ql(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__690) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 924 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qh(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uuc),Uua))))))) # label(fact_ATP_Olambda__691) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 925 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_vs(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__692) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 926 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_vo(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc954209991d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uuc),Uua))))))) # label(fact_ATP_Olambda__693) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 927 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fb(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__694) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 928 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ex(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uuc),Uua))))))) # label(fact_ATP_Olambda__695) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 929 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jh(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__696) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 930 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jd(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1723328832_moref,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uuc),Uua))))))) # label(fact_ATP_Olambda__697) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 931 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_et(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__698) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 932 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ep(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uuc),Uua))))))) # label(fact_ATP_Olambda__699) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 933 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_iz(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__700) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 934 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_iv(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1377007036_lessf,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uuc),Uua))))))) # label(fact_ATP_Olambda__701) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 935 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gf(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931567d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__702) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 936 (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(scratc953947593d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc953947593d_n_eq,aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669171d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__703) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 937 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_oo(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__704) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 938 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tm(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc680065652lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__705) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 939 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pe(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954931580d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__706) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 940 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_uc(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1848270840nd_iii,aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc954669177d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__707) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 941 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_abs(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1435549630d_e_is(Uu),Uub),Uuc)) -> pp(aa_TPTP_ind_bool(Uua,Uuc)))))) # label(fact_ATP_Olambda__708) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 942 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_bn(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(scratc1435549630d_e_is(Uu),Uub),Uuc)))))) # label(fact_ATP_Olambda__709) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 943 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bl(Uu),Uua),Uub),Uuc)) <-> pp(aa_fun171081125l_bool(scratc1782375600nd_all(Uu),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_bk(Uu),Uua),Uub),Uuc))))) # label(fact_ATP_Olambda__710) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 944 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bc(Uu),Uua),Uub),Uuc)) <-> pp(aa_fun171081125l_bool(scratc597052143l_some(Uua),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bb(Uu),Uub),Uuc))))) # label(fact_ATP_Olambda__711) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 945 (all Uu all Uua all Uub all Uuc aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ag(Uu),Uua),Uub),Uuc) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Uub),aa_TPTP_ind_TPTP_ind(scratc1315133153ght1to(Uu,Uua),Uuc))) # label(fact_ATP_Olambda__712) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 946 (all Uu all Uua all Uub all Uuc aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ah(Uu),Uua),Uub),Uuc) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Uub),aa_TPTP_ind_TPTP_ind(scratc337460404eft1to(Uu,Uua),Uuc))) # label(fact_ATP_Olambda__713) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 947 (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_bk(Uu),Uua),Uub),Uuc),Uud)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1848533243nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1435549630d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Uub),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Uub),Uud))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1435549630d_e_is(Uu),Uuc),Uud))))) # label(fact_ATP_Olambda__714) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 948 (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_az(Uu),Uua),Uub),Uuc),Uud)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(Uu,Uuc),Uud)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1435549630d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Uub),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Uub),Uud)))))) # label(fact_ATP_Olambda__715) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 949 (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_ay(Uu),Uua),Uub),Uuc),Uud)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_fun845057962d_bool(aTP_Lamm_ax(Uu),Uua),Uub),Uuc),Uud))))) # label(fact_ATP_Olambda__716) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 950 (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_ba(Uu),Uua),Uub),Uuc),Uud)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_az(Uua),Uub),Uuc),Uud))))) # label(fact_ATP_Olambda__717) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 951 (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_bg(Uu),Uua),Uub),Uuc),Uud) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,aa_TPTP_ind_TPTP_ind(scratc740205354wissel(Uu,Uub),Uuc)),Uud))) # label(fact_ATP_Olambda__718) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 952 (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_ax(Uu),Uua),Uub),Uuc),Uud),Uue)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_TPT985247859d_bool(aa_fun1107270209d_bool(aTP_Lamm_aw(Uu),Uua),Uub),Uuc),Uud),Uue))))) # label(fact_ATP_Olambda__719) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 953 (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_av(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(scratc1435549630d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Uub),Uuc)),Uue)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc485608128bnd_ap,Uub),Uud)),Uuf))))))) # label(fact_ATP_Olambda__720) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 954 (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_aw(Uu),Uua),Uub),Uuc),Uud),Uue),Uuf)) <-> pp(aa_fun171081125l_bool(scratc1486391335all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_TPT985247859d_bool(aa_TPT125613450d_bool(aTP_Lamm_av(Uua),Uub),Uuc),Uud),Uue),Uuf))))) # label(fact_ATP_Olambda__721) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 955 (all Uu all Uua (gg_TPTP_ind(Uu) -> aa_TPTP_ind_TPTP_ind(aTP_Lamm_aj(Uu),Uua) = Uu)) # label(fact_ATP_Olambda__722) # label(axiom) # label(non_clause). [assumption].
% 1.47/1.74 956 (all Uu (gg_TPTP_ind(Uu) -> aa_TPTP_ind_TPTP_ind(aTP_Lamm_an,Uu) = Uu)) # label(fact_ATP_Olambda__723) # label(axiom) # label(non_clause). [assumption].
% 1.61/1.85 957 (all Uu aa_TPTP_ind_TPTP_ind(aTP_Lamm_al,Uu) = scratc1889053584nd_nat) # label(fact_ATP_Olambda__724) # label(axiom) # label(non_clause). [assumption].
% 1.61/1.85 958 (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].
% 1.61/1.85 959 (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].
% 1.61/1.85 960 (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].
% 1.61/1.85 961 (all P (gg_bool(P) -> P = fTrue | P = fFalse)) # label(help_fFalse_1_1_T) # label(axiom) # label(non_clause). [assumption].
% 1.61/1.85 962 (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].
% 1.61/1.85 963 (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].
% 1.61/1.85 964 (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].
% 1.61/1.85 965 (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].
% 1.61/1.85 966 (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].
% 1.61/1.85 967 (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].
% 1.61/1.85 968 (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].
% 1.61/1.85 969 (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].
% 1.61/1.85 970 (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].
% 1.61/1.85
% 1.61/1.85 ============================== end of process non-clausal formulas ===
% 1.61/1.85
% 1.61/1.85 ============================== PROCESS INITIAL CLAUSES ===============
% 1.61/1.85
% 1.61/1.85 ============================== PREDICATE ELIMINATION =================
% 1.61/1.85 971 -gg_bool(A) | A = fTrue | A = fFalse # label(help_fFalse_1_1_T) # label(axiom). [clausify(961)].
% 1.61/1.85 972 gg_bool(undefined_bool(bool)) # label(gsy_c_HOL_Oundefined_001t__HOL__Obool) # label(axiom). [assumption].
% 1.61/1.85 973 gg_bool(scratc1495574377_amone(A,B)) # label(gsy_c_Scratch__tptp__translate__62404__30419_ONUM783__thf__4__p_Obnd__amone) # label(axiom). [clausify(1)].
% 1.61/1.85 974 gg_bool(scratc876302756_d_and(A,B)) # label(gsy_c_Scratch__tptp__translate__62404__30419_ONUM783__thf__4__p_Obnd__d__and) # label(axiom). [clausify(2)].
% 1.61/1.85 975 gg_bool(scratc983767936_d_not(A)) # label(gsy_c_Scratch__tptp__translate__62404__30419_ONUM783__thf__4__p_Obnd__d__not) # label(axiom). [clausify(3)].
% 1.61/1.85 976 gg_bool(scratc1814831172nd_ec3(A,B,C)) # label(gsy_c_Scratch__tptp__translate__62404__30419_ONUM783__thf__4__p_Obnd__ec3) # label(axiom). [clausify(4)].
% 1.61/1.85 977 gg_bool(scratc822302649d_l_ec(A,B)) # label(gsy_c_Scratch__tptp__translate__62404__30419_ONUM783__thf__4__p_Obnd__l__ec) # label(axiom). [clausify(8)].
% 1.61/1.85 978 gg_bool(scratc1898430207nd_or3(A,B,C)) # label(gsy_c_Scratch__tptp__translate__62404__30419_ONUM783__thf__4__p_Obnd__or3) # label(axiom). [clausify(9)].
% 3.92/4.15 979 gg_bool(aa_bool_bool(A,B)) # label(gsy_c_aa_001t__HOL__Obool_001t__HOL__Obool) # label(axiom). [clausify(10)].
% 3.92/4.15 980 gg_bool(aa_TPTP_ind_bool(A,B)) # label(gsy_c_aa_001t__TPTP____Interpret__Oind_001t__HOL__Obool) # label(axiom). [clausify(11)].
% 3.92/4.15 981 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)].
% 3.92/4.15 982 gg_bool(fEx_TPTP_ind(A)) # label(gsy_c_fEx_001t__TPTP____Interpret__Oind) # label(axiom). [clausify(16)].
% 3.92/4.15 983 gg_bool(fFalse) # label(gsy_c_fFalse) # label(axiom). [assumption].
% 3.92/4.15 984 gg_bool(fTrue) # label(gsy_c_fTrue) # label(axiom). [assumption].
% 3.92/4.15 Derived: undefined_bool(bool) = fTrue | undefined_bool(bool) = fFalse. [resolve(971,a,972,a)].
% 3.92/4.15 Derived: scratc1495574377_amone(A,B) = fTrue | scratc1495574377_amone(A,B) = fFalse. [resolve(971,a,973,a)].
% 3.92/4.15 Derived: scratc876302756_d_and(A,B) = fTrue | scratc876302756_d_and(A,B) = fFalse. [resolve(971,a,974,a)].
% 3.92/4.15 Derived: scratc983767936_d_not(A) = fTrue | scratc983767936_d_not(A) = fFalse. [resolve(971,a,975,a)].
% 3.92/4.15 Derived: scratc1814831172nd_ec3(A,B,C) = fTrue | scratc1814831172nd_ec3(A,B,C) = fFalse. [resolve(971,a,976,a)].
% 3.92/4.15 Derived: scratc822302649d_l_ec(A,B) = fTrue | scratc822302649d_l_ec(A,B) = fFalse. [resolve(971,a,977,a)].
% 3.92/4.15 Derived: scratc1898430207nd_or3(A,B,C) = fTrue | scratc1898430207nd_or3(A,B,C) = fFalse. [resolve(971,a,978,a)].
% 3.92/4.15 Derived: aa_bool_bool(A,B) = fTrue | aa_bool_bool(A,B) = fFalse. [resolve(971,a,979,a)].
% 3.92/4.15 Derived: aa_TPTP_ind_bool(A,B) = fTrue | aa_TPTP_ind_bool(A,B) = fFalse. [resolve(971,a,980,a)].
% 3.92/4.15 Derived: aa_fun171081125l_bool(A,B) = fTrue | aa_fun171081125l_bool(A,B) = fFalse. [resolve(971,a,981,a)].
% 3.92/4.15 Derived: fEx_TPTP_ind(A) = fTrue | fEx_TPTP_ind(A) = fFalse. [resolve(971,a,982,a)].
% 3.92/4.15 Derived: fFalse = fTrue | fFalse = fFalse. [resolve(971,a,983,a)].
% 3.92/4.15 Derived: fTrue = fTrue | fTrue = fFalse. [resolve(971,a,984,a)].
% 3.92/4.15 985 scratc1217237439d_r_ec(A,B) | pp(A) # label(fact_def__r__ec) # label(axiom). [clausify(104)].
% 3.92/4.15 986 -scratc1217237439d_r_ec(A,B) | -pp(A) | pp(scratc983767936_d_not(B)) # label(fact_def__r__ec) # label(axiom). [clausify(104)].
% 3.92/4.15 987 scratc1217237439d_r_ec(A,B) | -pp(scratc983767936_d_not(B)) # label(fact_def__r__ec) # label(axiom). [clausify(104)].
% 3.92/4.15 988 scratc1770444206_l_iff(A,B) | -pp(scratc876302756_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1848533243nd_imp,A),B),aa_bool_bool(aa_boo1142376798l_bool(scratc1848533243nd_imp,B),A))) # label(fact_def__l__iff) # label(axiom). [clausify(136)].
% 3.92/4.15 989 -scratc1770444206_l_iff(A,B) | pp(scratc876302756_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1848533243nd_imp,A),B),aa_bool_bool(aa_boo1142376798l_bool(scratc1848533243nd_imp,B),A))) # label(fact_def__l__iff) # label(axiom). [clausify(136)].
% 3.92/4.15 990 scratc402197874d_orec(A,B) | -pp(scratc876302756_d_and(aa_bool_bool(scratc822958654d_l_or(A),B),scratc822302649d_l_ec(A,B))) # label(fact_def__orec) # label(axiom). [clausify(137)].
% 3.92/4.15 991 -scratc402197874d_orec(A,B) | pp(scratc876302756_d_and(aa_bool_bool(scratc822958654d_l_or(A),B),scratc822302649d_l_ec(A,B))) # label(fact_def__orec) # label(axiom). [clausify(137)].
% 3.92/4.15 992 scratc1963669517nd_wel(A) | -pp(scratc983767936_d_not(scratc983767936_d_not(A))) # label(fact_def__wel) # label(axiom). [clausify(142)].
% 3.92/4.15 993 -scratc1963669517nd_wel(A) | pp(scratc983767936_d_not(scratc983767936_d_not(A))) # label(fact_def__wel) # label(axiom). [clausify(142)].
% 3.92/4.15 994 -scratc1963669517nd_wel(A) | pp(A) # label(fact_l__et) # label(axiom). [clausify(194)].
% 3.92/4.15 Derived: pp(A) | -pp(scratc983767936_d_not(scratc983767936_d_not(A))). [resolve(994,a,992,a)].
% 3.92/4.15
% 3.92/4.15 ============================== end predicate elimination =============
% 3.92/4.15
% 3.92/4.15 Auto_denials: (non-Horn, no changes).
% 3.92/4.15
% 3.92/4.15 Term ordering decisions:
% 3.92/4.15 Function symbol KB weights: aTP_Lamm_km=1. aTP_Lamm_cj=1. scratc953947593d_n_eq=1. scratc954209991d_n_is=1. scratc1377007036_lessf=1. scratc1723328832_moref=1. scratc1848270840nd_iii=1. scratc48786170_29_ii=1. scratc486132918bnd_in=1. scratc569017266rdsucc=1. scratc680065652lessis=1. scratc485608128bnd_ap=1. scratc814049264moreis=1. scratc1611732084nd_n_1=1. aTP_Lamm_au=1. scratc679803254lesseq=1. scratc1723328843_moreq=1. scratc1889053584nd_nat=1. scratc1555874706_Sigma=1. scratc1591736518ptyset=1. scratc1806700924nd_den=1. scratc954013193d_n_fr=1. scratc1966585279d_frac=1. scratc294345356d_d_Pi=1. scratc1889578375nd_nis=1. scratc1890365557nd_num=1. scratc1340876785n_some=1. fFalse=1. scratc1775491360_nat_p=1. scratc888361940_power=1. scratc1848533243nd_imp=1. scratc2081115645_rt_is=1. scratc489797856d_repl=1. scratc1848598832nd_inf=1. scratc731299047_class=1. aTP_Lamm_a=1. fTrue=1. scratc301276580_n_all=1. scratc1042601899d_pair=1. aTP_Lamm_al=1. scratc609098084d_Subq=1. scratc1012632206closed=1. scratc1016875778_proj0=1. scratc1395623806_union=1. scratc1611732085nd_n_2=1. scratc1922099604nd_rat=1. aTP_Lamm_ar=1. scratc1016875779_proj1=1. scratc954209986d_n_in=1. aTP_Lamm_aav=1. aTP_Lamm_aq=1. scratc1170782056closed=1. scratc1180647656t_more=1. scratc1335515070closed=1. scratc317511020t_less=1. scratc480144121_d_1to=1. aTP_Lamm_aam=1. aTP_Lamm_aaq=1. aTP_Lamm_aar=1. aTP_Lamm_ak=1. aTP_Lamm_cg=1. aTP_Lamm_gm=1. aTP_Lamm_go=1. aTP_Lamm_gr=1. aTP_Lamm_ky=1. aTP_Lamm_lw=1. aTP_Lamm_ly=1. aTP_Lamm_mi=1. aTP_Lamm_mk=1. aTP_Lamm_mm=1. aTP_Lamm_mo=1. aTP_Lamm_mq=1. aTP_Lamm_ms=1. aTP_Lamm_mu=1. aTP_Lamm_mw=1. aTP_Lamm_ng=1. aTP_Lamm_ni=1. aTP_Lamm_od=1. aTP_Lamm_sl=1. aTP_Lamm_sn=1. aTP_Lamm_sp=1. aTP_Lamm_sr=1. aTP_Lamm_st=1. aTP_Lamm_sv=1. aTP_Lamm_sx=1. aTP_Lamm_sz=1. aTP_Lamm_xu=1. aTP_Lamm_xw=1. aTP_Lamm_xy=1. aTP_Lamm_ya=1. aTP_Lamm_yc=1. aTP_Lamm_ye=1. aTP_Lamm_yg=1. aTP_Lamm_yi=1. aTP_Lamm_yk=1. aTP_Lamm_ym=1. aTP_Lamm_yo=1. aTP_Lamm_yq=1. scratc1335854879d_Inj1=1. scratc1764071787closed=1. scratc186530992_omega=1. scratc1931689018_prop2=1. scratc20383144_prop2=1. aTP_Lamm_aa=1. aTP_Lamm_aab=1. aTP_Lamm_aae=1. aTP_Lamm_aah=1. aTP_Lamm_aaj=1. aTP_Lamm_aak=1. aTP_Lamm_aap=1. aTP_Lamm_as=1. aTP_Lamm_br=1. aTP_Lamm_bt=1. aTP_Lamm_bu=1. aTP_Lamm_cb=1. aTP_Lamm_ce=1. aTP_Lamm_cl=1. aTP_Lamm_cp=1. aTP_Lamm_ct=1. aTP_Lamm_cx=1. aTP_Lamm_db=1. aTP_Lamm_df=1. aTP_Lamm_dj=1. aTP_Lamm_dn=1. aTP_Lamm_dr=1. aTP_Lamm_dv=1. aTP_Lamm_dy=1. aTP_Lamm_eb=1. aTP_Lamm_ee=1. aTP_Lamm_eh=1. aTP_Lamm_ek=1. aTP_Lamm_en=1. aTP_Lamm_er=1. aTP_Lamm_ev=1. aTP_Lamm_ez=1. aTP_Lamm_fd=1. aTP_Lamm_fg=1. aTP_Lamm_fj=1. aTP_Lamm_fm=1. aTP_Lamm_fp=1. aTP_Lamm_fs=1. aTP_Lamm_fv=1. aTP_Lamm_fy=1. aTP_Lamm_gb=1. aTP_Lamm_gd=1. aTP_Lamm_gh=1. aTP_Lamm_gk=1. aTP_Lamm_gv=1. aTP_Lamm_gz=1. aTP_Lamm_hd=1. aTP_Lamm_hh=1. aTP_Lamm_hl=1. aTP_Lamm_hp=1. aTP_Lamm_ht=1. aTP_Lamm_hx=1. aTP_Lamm_ib=1. aTP_Lamm_ie=1. aTP_Lamm_ih=1. aTP_Lamm_ik=1. aTP_Lamm_in=1. aTP_Lamm_iq=1. aTP_Lamm_it=1. aTP_Lamm_ix=1. aTP_Lamm_jb=1. aTP_Lamm_jf=1. aTP_Lamm_jj=1. aTP_Lamm_jm=1. aTP_Lamm_jp=1. aTP_Lamm_js=1. aTP_Lamm_jv=1. aTP_Lamm_jy=1. aTP_Lamm_kb=1. aTP_Lamm_kd=1. aTP_Lamm_kf=1. aTP_Lamm_ki=1. aTP_Lamm_kk=1. aTP_Lamm_ko=1. aTP_Lamm_kr=1. aTP_Lamm_kv=1. aTP_Lamm_la=1. aTP_Lamm_lc=1. aTP_Lamm_lf=1. aTP_Lamm_li=1. aTP_Lamm_ll=1. aTP_Lamm_lo=1. aTP_Lamm_lr=1. aTP_Lamm_lu=1. aTP_Lamm_mc=1. aTP_Lamm_mg=1. aTP_Lamm_na=1. aTP_Lamm_ne=1. aTP_Lamm_nk=1. aTP_Lamm_nm=1. aTP_Lamm_no=1. aTP_Lamm_nr=1. aTP_Lamm_nu=1. aTP_Lamm_nw=1. aTP_Lamm_ny=1. aTP_Lamm_ob=1. aTP_Lamm_oi=1. aTP_Lamm_om=1. aTP_Lamm_oq=1. aTP_Lamm_ou=1. aTP_Lamm_oy=1. aTP_Lamm_pc=1. aTP_Lamm_pg=1. aTP_Lamm_pk=1. aTP_Lamm_pn=1. aTP_Lamm_pq=1. aTP_Lamm_pt=1. aTP_Lamm_pw=1. aTP_Lamm_pz=1. aTP_Lamm_qc=1. aTP_Lamm_qf=1. aTP_Lamm_qj=1. aTP_Lamm_qn=1. aTP_Lamm_qr=1. aTP_Lamm_qv=1. aTP_Lamm_qy=1. aTP_Lamm_rb=1. aTP_Lamm_re=1. aTP_Lamm_rh=1. aTP_Lamm_rk=1. aTP_Lamm_rn=1. aTP_Lamm_rq=1. aTP_Lamm_rt=1. aTP_Lamm_rv=1. aTP_Lamm_rx=1. aTP_Lamm_sa=1. aTP_Lamm_sd=1. aTP_Lamm_sg=1. aTP_Lamm_sj=1. aTP_Lamm_tg=1. aTP_Lamm_tk=1. aTP_Lamm_to=1. aTP_Lamm_ts=1. aTP_Lamm_tw=1. aTP_Lamm_ua=1. aTP_Lamm_ue=1. aTP_Lamm_ui=1. aTP_Lamm_ul=1. aTP_Lamm_uo=1. aTP_Lamm_ur=1. aTP_Lamm_uu=1. aTP_Lamm_ux=1. aTP_Lamm_va=1. aTP_Lamm_vd=1. aTP_Lamm_vg=1. aTP_Lamm_vj=1. aTP_Lamm_vm=1. aTP_Lamm_vq=1. aTP_Lamm_vu=1. aTP_Lamm_vy=1. aTP_Lamm_wc=1. aTP_Lamm_wf=1. aTP_Lamm_wi=1. aTP_Lamm_wl=1. aTP_Lamm_wo=1. aTP_Lamm_wr=1. aTP_Lamm_wu=1. aTP_Lamm_wy=1. aTP_Lamm_xa=1. aTP_Lamm_xd=1. aTP_Lamm_xg=1. aTP_Lamm_xj=1. aTP_Lamm_xm=1. aTP_Lamm_xp=1. aTP_Lamm_xs=1. aTP_Lamm_ys=1. aTP_Lamm_yu=1. aTP_Lamm_yw=1. aTP_Lamm_yy=1. aTP_Lamm_za=1. aTP_Lamm_ze=1. aTP_Lamm_zg=1. aTP_Lamm_zj=1. aTP_Lamm_zm=1. aTP_Lamm_zo=1. aTP_Lamm_zq=1. aTP_Lamm_zt=1. aTP_Lamm_zv=1. aTP_Lamm_zy=1. fconj=1. fimplies=1. scratc1031992511_cond2=1. scratc1335854878d_Inj0=1. scratc1931689017_prop1=1. scratc20383143_prop1=1. scratc417068841_n_one=1. scratc510747202d_Sing=1. scratc950536448d_n_1t=1. aTP_Lamm_aaa=1. aTP_Lamm_aac=1. aTP_Lamm_aad=1. aTP_Lamm_aaf=1. aTP_Lamm_aag=1. aTP_Lamm_aai=1. aTP_Lamm_aal=1. aTP_Lamm_aan=1. aTP_Lamm_aao=1. aTP_Lamm_aas=1. aTP_Lamm_aat=1. aTP_Lamm_aau=1. aTP_Lamm_aax=1. aTP_Lamm_abu=1. aTP_Lamm_bx=1. aTP_Lamm_cc=1. aTP_Lamm_cf=1. aTP_Lamm_ch=1. aTP_Lamm_ci=1. aTP_Lamm_cm=1. aTP_Lamm_cq=1. aTP_Lamm_cu=1. aTP_Lamm_cy=1. aTP_Lamm_dc=1. aTP_Lamm_dg=1. aTP_Lamm_dk=1. aTP_Lamm_do=1. aTP_Lamm_ds=1. aTP_Lamm_dw=1. aTP_Lamm_dz=1. aTP_Lamm_ec=1. aTP_Lamm_ef=1. aTP_Lamm_ei=1. aTP_Lamm_el=1. aTP_Lamm_eo=1. aTP_Lamm_es=1. aTP_Lamm_ew=1. aTP_Lamm_fa=1. aTP_Lamm_fe=1. aTP_Lamm_fh=1. aTP_Lamm_fk=1. aTP_Lamm_fn=1. aTP_Lamm_fq=1. aTP_Lamm_ft=1. aTP_Lamm_fw=1. aTP_Lamm_fz=1. aTP_Lamm_gc=1. aTP_Lamm_ge=1. aTP_Lamm_gi=1. aTP_Lamm_gl=1. aTP_Lamm_gn=1. aTP_Lamm_gp=1. aTP_Lamm_gs=1. aTP_Lamm_gw=1. aTP_Lamm_ha=1. aTP_Lamm_he=1. aTP_Lamm_hi=1. aTP_Lamm_hm=1. aTP_Lamm_hq=1. aTP_Lamm_hu=1. aTP_Lamm_hy=1. aTP_Lamm_ic=1. aTP_Lamm_if=1. aTP_Lamm_ii=1. aTP_Lamm_il=1. aTP_Lamm_io=1. aTP_Lamm_ir=1. aTP_Lamm_iu=1. aTP_Lamm_iy=1. aTP_Lamm_jc=1. aTP_Lamm_jg=1. aTP_Lamm_jk=1. aTP_Lamm_jn=1. aTP_Lamm_jq=1. aTP_Lamm_jt=1. aTP_Lamm_jw=1. aTP_Lamm_jz=1. aTP_Lamm_kc=1. aTP_Lamm_ke=1. aTP_Lamm_kg=1. aTP_Lamm_kj=1. aTP_Lamm_kl=1. aTP_Lamm_kp=1. aTP_Lamm_ks=1. aTP_Lamm_kw=1. aTP_Lamm_kz=1. aTP_Lamm_lb=1. aTP_Lamm_ld=1. aTP_Lamm_lg=1. aTP_Lamm_lj=1. aTP_Lamm_lm=1. aTP_Lamm_lp=1. aTP_Lamm_ls=1. aTP_Lamm_lv=1. aTP_Lamm_lx=1. aTP_Lamm_lz=1. aTP_Lamm_md=1. aTP_Lamm_mh=1. aTP_Lamm_mj=1. aTP_Lamm_ml=1. aTP_Lamm_mn=1. aTP_Lamm_mp=1. aTP_Lamm_mr=1. aTP_Lamm_mt=1. aTP_Lamm_mv=1. aTP_Lamm_mx=1. aTP_Lamm_nb=1. aTP_Lamm_nf=1. aTP_Lamm_nh=1. aTP_Lamm_nj=1. aTP_Lamm_nl=1. aTP_Lamm_nn=1. aTP_Lamm_np=1. aTP_Lamm_ns=1. aTP_Lamm_nv=1. aTP_Lamm_nx=1. aTP_Lamm_nz=1. aTP_Lamm_oc=1. aTP_Lamm_oe=1. aTP_Lamm_of=1. aTP_Lamm_oj=1. aTP_Lamm_on=1. aTP_Lamm_or=1. aTP_Lamm_ov=1. aTP_Lamm_oz=1. aTP_Lamm_pd=1. aTP_Lamm_ph=1. aTP_Lamm_pl=1. aTP_Lamm_po=1. aTP_Lamm_pr=1. aTP_Lamm_pu=1. aTP_Lamm_px=1. aTP_Lamm_qa=1. aTP_Lamm_qd=1. aTP_Lamm_qg=1. aTP_Lamm_qk=1. aTP_Lamm_qo=1. aTP_Lamm_qs=1. aTP_Lamm_qw=1. aTP_Lamm_qz=1. aTP_Lamm_rc=1. aTP_Lamm_rf=1. aTP_Lamm_ri=1. aTP_Lamm_rl=1. aTP_Lamm_ro=1. aTP_Lamm_rr=1. aTP_Lamm_ru=1. aTP_Lamm_rw=1. aTP_Lamm_ry=1. aTP_Lamm_rz=1. aTP_Lamm_sb=1. aTP_Lamm_sc=1. aTP_Lamm_se=1. aTP_Lamm_sf=1. aTP_Lamm_sh=1. aTP_Lamm_si=1. aTP_Lamm_sk=1. aTP_Lamm_sm=1. aTP_Lamm_so=1. aTP_Lamm_sq=1. aTP_Lamm_ss=1. aTP_Lamm_su=1. aTP_Lamm_sw=1. aTP_Lamm_sy=1. aTP_Lamm_ta=1. aTP_Lamm_tb=1. aTP_Lamm_tc=1. aTP_Lamm_td=1. aTP_Lamm_th=1. aTP_Lamm_tl=1. aTP_Lamm_tp=1. aTP_Lamm_tt=1. aTP_Lamm_tx=1. aTP_Lamm_ub=1. aTP_Lamm_uf=1. aTP_Lamm_uj=1. aTP_Lamm_um=1. aTP_Lamm_up=1. aTP_Lamm_us=1. aTP_Lamm_uv=1. aTP_Lamm_uy=1. aTP_Lamm_vb=1. aTP_Lamm_ve=1. aTP_Lamm_vh=1. aTP_Lamm_vk=1. aTP_Lamm_vn=1. aTP_Lamm_vr=1. aTP_Lamm_vv=1. aTP_Lamm_vz=1. aTP_Lamm_wd=1. aTP_Lamm_wg=1. aTP_Lamm_wj=1. aTP_Lamm_wm=1. aTP_Lamm_wp=1. aTP_Lamm_ws=1. aTP_Lamm_wv=1. aTP_Lamm_ww=1. aTP_Lamm_wx=1. aTP_Lamm_wz=1. aTP_Lamm_xb=1. aTP_Lamm_xe=1. aTP_Lamm_xh=1. aTP_Lamm_xk=1. aTP_Lamm_xn=1. aTP_Lamm_xq=1. aTP_Lamm_xt=1. aTP_Lamm_xv=1. aTP_Lamm_xx=1. aTP_Lamm_xz=1. aTP_Lamm_yb=1. aTP_Lamm_yd=1. aTP_Lamm_yf=1. aTP_Lamm_yh=1. aTP_Lamm_yj=1. aTP_Lamm_yl=1. aTP_Lamm_yn=1. aTP_Lamm_yp=1. aTP_Lamm_yr=1. aTP_Lamm_yt=1. aTP_Lamm_yv=1. aTP_Lamm_yx=1. aTP_Lamm_yz=1. aTP_Lamm_zb=1. aTP_Lamm_zf=1. aTP_Lamm_zh=1. aTP_Lamm_zk=1. aTP_Lamm_zn=1. aTP_Lamm_zp=1. aTP_Lamm_zr=1. aTP_Lamm_zu=1. aTP_Lamm_zw=1. aTP_Lamm_zx=1. aTP_Lamm_zz=1. fequal_TPTP_ind=1. scratc1031992510_cond1=1. scratc1887479202nd_nIn=1. scratc61064494univof=1. scratc777164702_d_Unj=1. scratc950602047d_n_2t=1. aTP_Lamm_ab=1. aTP_Lamm_an=1. aTP_Lamm_at=1. aTP_Lamm_bv=1. aTP_Lamm_bw=1. bool=1. scratc1017269376_prop4=1. scratc1134265643d_plus=1. scratc1343326842_prop1=1. scratc1432122370428_id=1. scratc1434915776r1type=1. scratc1462860997rt_nis=1. scratc1549291894_prop1=1. scratc1767519356_empty=1. scratc1877331505nempty=1. scratc1957177070munion=1. scratc20383146_prop4=1. scratc425767237pair_p=1. scratc578532596_prop1=1. scratc608745318_prop1=1. scratc680480853_times=1. scratc754964667_prop1=1. scratc950536443d_n_1o=1. scratc960929719_prop1=1. scratc1026999520_428_g=1. scratc1355658222rt_all=1. scratc1471450483rt_one=1. scratc150910714d_i1_s=1. scratc1568875559t_some=1. scratc1880465766air_u0=1. scratc1893740514d_fixf=1. scratc1938098096d_1out=1. scratc1969016178d_24_g=1. scratc2081115640_rt_in=1. scratc805075787_ratof=1. scratc961296807d_xout=1. scratc976358998let_u0=1. tPTP_ind=1. aa_TPT43085870d_bool=1. aa_TPTP_ind_bool=1. aa_fun171081125l_bool=1. aa_TPTP_ind_TPTP_ind=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. scratc876302756_d_and=1. aa_fun1431113780TP_ind=1. aa_boo1142376798l_bool=1. aa_TPT1123896796d_bool=1. scratc486132910bnd_if=1. scratc822302649d_l_ec=1. aa_fun1212484691d_bool=1. scratc1435549625d_e_in=1. scratc1848598830nd_ind=1. aa_TPT1791839040TP_ind=1. aa_TPT985247859d_bool=1. scratc1606519469d_pair=1. aa_fun987228051d_bool=1. scratc1495574377_amone=1. scratc1499421285second=1. scratc1906033834_image=1. scratc1948675903_first=1. aa_TPT125613450d_bool=1. scratc1889971964nd_non=1. aa_fun1913827119d_bool=1. scratc178349308d_anec=1. aa_fun1107270209d_bool=1. aa_fun845057962d_bool=1. scratc1814831233nd_ecp=1. scratc198995356eplSep=1. scratc312106567_ecect=1. scratc312696958_ecelt=1. scratc1814831237nd_ect=1. scratc1898627069nd_out=1. scratc360152031fixfu2=1. aa_TPT1781712639TP_ind=1. aa_TPT2142672771l_bool=1. aa_fun1235454963TP_ind=1. cOMBB_658106424TP_ind=1. cOMBS_2003118649l_bool=1. scratc1017269432_propl=1. scratc1017269433_propm=1. scratc1315133153ght1to=1. scratc1783018430etprop=1. scratc1997392147_fixfu=1. scratc337460404eft1to=1. scratc740205354wissel=1. scratc756976680ectelt=1. scratc872178557ectset=1. scratc2114748607nverse=1. scratc2129194790d_invf=1. scratc2132931321d_tofs=1. scratc978295903unmore=1. f1=1. f12=1. f13=1. f20=1. f24=1. scratc1486391335all_of=1. scratc954669177d_n_pl=1. scratc954931580d_n_ts=1. scratc954669171d_n_pf=1. scratc954931567d_n_tf=1. scratc983767936_d_not=1. scratc1435549630d_e_is=1. scratc597052143l_some=1. scratc760051307_d_Sep=1. scratc1195505972d_esti=1. scratc726149817ffprop=1. scratc822958654d_l_or=1. scratc1782375600nd_all=1. scratc1898167861nd_one=1. aTP_Lamm_aj=1. scratc1465547887_rec_G=1. scratc427966385d_outn=1. aTP_Lamm_abe=1. aTP_Lamm_ma=1. aTP_Lamm_me=1. aTP_Lamm_my=1. aTP_Lamm_nc=1. scratc137694966_367_w=1. aTP_Lamm_aaw=1. aTP_Lamm_abs=1. aTP_Lamm_ao=1. aTP_Lamm_av=1. aTP_Lamm_bf=1. aTP_Lamm_bn=1. aTP_Lamm_ca=1. aTP_Lamm_cd=1. aTP_Lamm_cn=1. aTP_Lamm_cr=1. aTP_Lamm_cv=1. aTP_Lamm_cz=1. aTP_Lamm_dd=1. aTP_Lamm_dh=1. aTP_Lamm_dl=1. aTP_Lamm_dp=1. aTP_Lamm_dt=1. aTP_Lamm_ep=1. aTP_Lamm_et=1. aTP_Lamm_ex=1. aTP_Lamm_fb=1. aTP_Lamm_gf=1. aTP_Lamm_gj=1. aTP_Lamm_gt=1. aTP_Lamm_gx=1. aTP_Lamm_hb=1. aTP_Lamm_hf=1. aTP_Lamm_hj=1. aTP_Lamm_hn=1. aTP_Lamm_hr=1. aTP_Lamm_hv=1. aTP_Lamm_hz=1. aTP_Lamm_iv=1. aTP_Lamm_iz=1. aTP_Lamm_jd=1. aTP_Lamm_jh=1. aTP_Lamm_kt=1. aTP_Lamm_le=1. aTP_Lamm_lh=1. aTP_Lamm_lk=1. aTP_Lamm_ln=1. aTP_Lamm_lq=1. aTP_Lamm_lt=1. aTP_Lamm_oa=1. aTP_Lamm_og=1. aTP_Lamm_ok=1. aTP_Lamm_oo=1. aTP_Lamm_os=1. aTP_Lamm_ow=1. aTP_Lamm_pa=1. aTP_Lamm_pe=1. aTP_Lamm_pi=1. aTP_Lamm_qh=1. aTP_Lamm_ql=1. aTP_Lamm_qp=1. aTP_Lamm_qt=1. aTP_Lamm_te=1. aTP_Lamm_ti=1. aTP_Lamm_tm=1. aTP_Lamm_tq=1. aTP_Lamm_tu=1. aTP_Lamm_ty=1. aTP_Lamm_uc=1. aTP_Lamm_ug=1. aTP_Lamm_vo=1. aTP_Lamm_vs=1. aTP_Lamm_vw=1. aTP_Lamm_wa=1. aTP_Lamm_xc=1. aTP_Lamm_xf=1. aTP_Lamm_xi=1. aTP_Lamm_xl=1. aTP_Lamm_xo=1. aTP_Lamm_xr=1. aTP_Lamm_zc=1. scratc2127948415d_incl=1. aTP_Lamm_abo=1. aTP_Lamm_abq=1. aTP_Lamm_az=1. aTP_Lamm_bj=1. aTP_Lamm_bm=1. aTP_Lamm_bq=1. aTP_Lamm_dx=1. aTP_Lamm_ea=1. aTP_Lamm_ed=1. aTP_Lamm_eg=1. aTP_Lamm_ej=1. aTP_Lamm_em=1. aTP_Lamm_ff=1. aTP_Lamm_fi=1. aTP_Lamm_fl=1. aTP_Lamm_fo=1. aTP_Lamm_fr=1. aTP_Lamm_fu=1. aTP_Lamm_id=1. aTP_Lamm_ig=1. aTP_Lamm_ij=1. aTP_Lamm_im=1. aTP_Lamm_ip=1. aTP_Lamm_is=1. aTP_Lamm_jl=1. aTP_Lamm_jo=1. aTP_Lamm_jr=1. aTP_Lamm_ju=1. aTP_Lamm_jx=1. aTP_Lamm_ka=1. aTP_Lamm_pm=1. aTP_Lamm_pp=1. aTP_Lamm_ps=1. aTP_Lamm_pv=1. aTP_Lamm_py=1. aTP_Lamm_qb=1. aTP_Lamm_qe=1. aTP_Lamm_qx=1. aTP_Lamm_ra=1. aTP_Lamm_rd=1. aTP_Lamm_rg=1. aTP_Lamm_rj=1. aTP_Lamm_rm=1. aTP_Lamm_uk=1. aTP_Lamm_un=1. aTP_Lamm_uq=1. aTP_Lamm_ut=1. aTP_Lamm_uw=1. aTP_Lamm_uz=1. aTP_Lamm_vc=1. aTP_Lamm_vf=1. aTP_Lamm_vi=1. aTP_Lamm_vl=1. aTP_Lamm_we=1. aTP_Lamm_wh=1. aTP_Lamm_wk=1. aTP_Lamm_wn=1. aTP_Lamm_wq=1. aTP_Lamm_wt=1. aTP_Lamm_zi=1. aTP_Lamm_zl=1. scratc1240628822ective=1. scratc1815684023nd_eps=1. scratc1848598840nd_inn=1. scratc202940360etprod=1. aTP_Lamm_aay=1. aTP_Lamm_aaz=1. aTP_Lamm_aba=1. aTP_Lamm_abc=1. aTP_Lamm_abi=1. aTP_Lamm_abk=1. aTP_Lamm_abl=1. aTP_Lamm_abp=1. aTP_Lamm_ac=1. aTP_Lamm_ad=1. aTP_Lamm_ae=1. aTP_Lamm_af=1. aTP_Lamm_aw=1. aTP_Lamm_ax=1. aTP_Lamm_ay=1. aTP_Lamm_ba=1. aTP_Lamm_bb=1. aTP_Lamm_bd=1. aTP_Lamm_be=1. aTP_Lamm_bk=1. aTP_Lamm_bl=1. aTP_Lamm_bo=1. aTP_Lamm_ck=1. aTP_Lamm_co=1. aTP_Lamm_cs=1. aTP_Lamm_cw=1. aTP_Lamm_da=1. aTP_Lamm_de=1. aTP_Lamm_di=1. aTP_Lamm_dm=1. aTP_Lamm_dq=1. aTP_Lamm_du=1. aTP_Lamm_eq=1. aTP_Lamm_eu=1. aTP_Lamm_ey=1. aTP_Lamm_fc=1. aTP_Lamm_fx=1. aTP_Lamm_ga=1. aTP_Lamm_gg=1. aTP_Lamm_gq=1. aTP_Lamm_gu=1. aTP_Lamm_gy=1. aTP_Lamm_hc=1. aTP_Lamm_hg=1. aTP_Lamm_hk=1. aTP_Lamm_ho=1. aTP_Lamm_hs=1. aTP_Lamm_hw=1. aTP_Lamm_ia=1. aTP_Lamm_iw=1. aTP_Lamm_ja=1. aTP_Lamm_je=1. aTP_Lamm_ji=1. aTP_Lamm_kh=1. aTP_Lamm_kn=1. aTP_Lamm_kq=1. aTP_Lamm_ku=1. aTP_Lamm_kx=1. aTP_Lamm_mb=1. aTP_Lamm_mf=1. aTP_Lamm_mz=1. aTP_Lamm_nd=1. aTP_Lamm_nq=1. aTP_Lamm_nt=1. aTP_Lamm_oh=1. aTP_Lamm_ol=1. aTP_Lamm_op=1. aTP_Lamm_ot=1. aTP_Lamm_ox=1. aTP_Lamm_pb=1. aTP_Lamm_pf=1. aTP_Lamm_pj=1. aTP_Lamm_qi=1. aTP_Lamm_qm=1. aTP_Lamm_qq=1. aTP_Lamm_qu=1. aTP_Lamm_rp=1. aTP_Lamm_rs=1. aTP_Lamm_tf=1. aTP_Lamm_tj=1. aTP_Lamm_tn=1. aTP_Lamm_tr=1. aTP_Lamm_tv=1. aTP_Lamm_tz=1. aTP_Lamm_ud=1. aTP_Lamm_uh=1. aTP_Lamm_vp=1. aTP_Lamm_vt=1. aTP_Lamm_vx=1. aTP_Lamm_wb=1. aTP_Lamm_zd=1. aTP_Lamm_zs=1. fEx_TPTP_ind=1. scratc1318763725ective=1. scratc1354194218lbprop=1. scratc1881316865nd_min=1. scratc803550521nunion=1. scratc954406771d_n_lb=1. aTP_Lamm_abb=1. aTP_Lamm_abd=1. aTP_Lamm_abf=1. aTP_Lamm_abg=1. aTP_Lamm_abh=1. aTP_Lamm_abj=1. aTP_Lamm_abm=1. aTP_Lamm_abn=1. aTP_Lamm_abr=1. aTP_Lamm_abt=1. aTP_Lamm_bc=1. scratc1450361084_UPair=1. scratc1490829068econd1=1. scratc2074242584In_rec=1. scratc582751046_pair1=1. scratc78930098first1=1. aTP_Lamm_ag=1. aTP_Lamm_ah=1. aTP_Lamm_ai=1. aTP_Lamm_am=1. aTP_Lamm_ap=1. aTP_Lamm_bg=1. aTP_Lamm_bh=1. aTP_Lamm_bi=1. aTP_Lamm_bp=1. aTP_Lamm_bs=1. aTP_Lamm_by=1. aTP_Lamm_bz=1. cOMBC_1555011498d_bool=1. scratc1002649008_prop1=1. scratc1017269375_prop3=1. scratc1136672558t_disj=1. scratc1424348052ective=1. scratc1591011183_prop1=1. scratc2137654069_prop1=1. scratc335785658367_vo=1. scratc372567544_prop1=1. scratc719836063tminus=1. undefined_bool=1. scratc1649266485_477_v=1. scratc1880203370air_q0=1. scratc954472382d_n_mn=1. undefined_TPTP_ind=1. f2=1. f8=1. f9=1. f10=1. f11=1. f17=1. f18=1. f21=1. f22=1. f23=1. scratc1898430207nd_or3=1. scratc1814831172nd_ec3=1. scratc1352344123d_soft=1. scratc1848992425nd_ite=1. scratc100585976d_left=1. scratc1017269373_prop1=1. scratc563790714_indeq=1. scratc1722388116sel_wa=1. scratc1722388117sel_wb=1. scratc29305603eft_f1=1. scratc635173942d_11_i=1. scratc250011927indrat=1. scratc29305604eft_f2=1. scratc499463691_right=1. f5=1. f7=1. Cputime limit exceeded (core dumped)
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