TSTP Solution File: NUM785+4 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : NUM785+4 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n020.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 13:32:07 EDT 2022
% Result : Timeout 300.06s 300.31s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM785+4 : TPTP v8.1.0. Released v7.3.0.
% 0.08/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Wed Jul 6 15:43:29 EDT 2022
% 0.15/0.36 % CPUTime :
% 1.59/1.88 ============================== Prover9 ===============================
% 1.59/1.88 Prover9 (32) version 2009-11A, November 2009.
% 1.59/1.88 Process 9850 was started by sandbox2 on n020.cluster.edu,
% 1.59/1.88 Wed Jul 6 15:43:30 2022
% 1.59/1.88 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_9695_n020.cluster.edu".
% 1.59/1.88 ============================== end of head ===========================
% 1.59/1.88
% 1.59/1.88 ============================== INPUT =================================
% 1.59/1.88
% 1.59/1.88 % Reading from file /tmp/Prover9_9695_n020.cluster.edu
% 1.59/1.88
% 1.59/1.88 set(prolog_style_variables).
% 1.59/1.88 set(auto2).
% 1.59/1.88 % set(auto2) -> set(auto).
% 1.59/1.88 % set(auto) -> set(auto_inference).
% 1.59/1.88 % set(auto) -> set(auto_setup).
% 1.59/1.88 % set(auto_setup) -> set(predicate_elim).
% 1.59/1.88 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.59/1.88 % set(auto) -> set(auto_limits).
% 1.59/1.88 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.59/1.88 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.59/1.88 % set(auto) -> set(auto_denials).
% 1.59/1.88 % set(auto) -> set(auto_process).
% 1.59/1.88 % set(auto2) -> assign(new_constants, 1).
% 1.59/1.88 % set(auto2) -> assign(fold_denial_max, 3).
% 1.59/1.88 % set(auto2) -> assign(max_weight, "200.000").
% 1.59/1.88 % set(auto2) -> assign(max_hours, 1).
% 1.59/1.88 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.59/1.88 % set(auto2) -> assign(max_seconds, 0).
% 1.59/1.88 % set(auto2) -> assign(max_minutes, 5).
% 1.59/1.88 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.59/1.88 % set(auto2) -> set(sort_initial_sos).
% 1.59/1.88 % set(auto2) -> assign(sos_limit, -1).
% 1.59/1.88 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.59/1.88 % set(auto2) -> assign(max_megs, 400).
% 1.59/1.88 % set(auto2) -> assign(stats, some).
% 1.59/1.88 % set(auto2) -> clear(echo_input).
% 1.59/1.88 % set(auto2) -> set(quiet).
% 1.59/1.88 % set(auto2) -> clear(print_initial_clauses).
% 1.59/1.88 % set(auto2) -> clear(print_given).
% 1.59/1.88 assign(lrs_ticks,-1).
% 1.59/1.88 assign(sos_limit,10000).
% 1.59/1.88 assign(order,kbo).
% 1.59/1.88 set(lex_order_vars).
% 1.59/1.88 clear(print_given).
% 1.59/1.88
% 1.59/1.88 % formulas(sos). % not echoed (1275 formulas)
% 1.59/1.88
% 1.59/1.88 ============================== end of input ==========================
% 1.59/1.88
% 1.59/1.88 % From the command line: assign(max_seconds, 300).
% 1.59/1.88
% 1.59/1.88 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.59/1.88
% 1.59/1.88 % Formulas that are not ordinary clauses:
% 1.59/1.88 1 (all B_1 all B_2 gg_bool(scratc1591209530_amone(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__62806__11266_ONUM785__thf__4__p_Obnd__amone) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 2 (all B_1 all B_2 gg_bool(scratc1646968595_d_and(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__62806__11266_ONUM785__thf__4__p_Obnd__d__and) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 3 (all B_1 gg_bool(scratc1754433775_d_not(B_1))) # label(gsy_c_Scratch__tptp__translate__62806__11266_ONUM785__thf__4__p_Obnd__d__not) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 4 (all B_1 all B_2 all B_3 gg_bool(scratc1912340373nd_ec3(B_1,B_2,B_3))) # label(gsy_c_Scratch__tptp__translate__62806__11266_ONUM785__thf__4__p_Obnd__ec3) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 5 (all B_1 all B_2 gg_TPTP_ind(scratc1912340438nd_ect(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__62806__11266_ONUM785__thf__4__p_Obnd__ect) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 6 (all B_1 gg_TPTP_ind(scratc1913193224nd_eps(B_1))) # label(gsy_c_Scratch__tptp__translate__62806__11266_ONUM785__thf__4__p_Obnd__eps) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 7 (all B_1 all B_2 gg_TPTP_ind(scratc1946108031nd_ind(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__62806__11266_ONUM785__thf__4__p_Obnd__ind) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 8 (all B_1 all B_2 gg_bool(scratc917937802d_l_ec(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__62806__11266_ONUM785__thf__4__p_Obnd__l__ec) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 9 (all B_1 all B_2 all B_3 gg_bool(scratc1995939408nd_or3(B_1,B_2,B_3))) # label(gsy_c_Scratch__tptp__translate__62806__11266_ONUM785__thf__4__p_Obnd__or3) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 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].
% 1.59/1.88 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].
% 1.59/1.88 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].
% 1.59/1.88 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].
% 1.59/1.88 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].
% 1.59/1.88 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].
% 1.59/1.88 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].
% 1.59/1.88 17 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1816762405lessis,X),Xa)) <-> pp(aa_bool_bool(scratc918593807d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc704297836_rt_is,X),Xa))))) # label(fact_def__rt__lessis) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 18 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1950746017moreis,X),Xa)) <-> pp(aa_bool_bool(scratc918593807d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc704297836_rt_is,X),Xa))))) # label(fact_def__rt__moreis) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 19 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1112904585_propl(X,Xa),Xb),Xc)) <-> scratc1478056316d_and3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1946108033nd_inf,Xb),aa_TPTP_ind_TPTP_ind(scratc826934200_class,X)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1946108033nd_inf,Xc),aa_TPTP_ind_TPTP_ind(scratc826934200_class,Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Xb),Xc)))) # label(fact_def__propl) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 20 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1592867136l_some(scratc1118874286d_frac),aa_TPT43085870d_bool(aTP_Lamm_ad(X),Xa))))) # label(fact_def__rt__less) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 21 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1112904586_propm(X,Xa),Xb),Xc)) <-> scratc1478056316d_and3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1946108033nd_inf,Xb),aa_TPTP_ind_TPTP_ind(scratc826934200_class,X)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1946108033nd_inf,Xc),aa_TPTP_ind_TPTP_ind(scratc826934200_class,Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Xb),Xc)))) # label(fact_def__propm) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 22 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1592867136l_some(scratc1118874286d_frac),aa_TPT43085870d_bool(aTP_Lamm_af(X),Xa))))) # label(fact_def__rt__more) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 23 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1020677766indrat(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc914327719indeq2(scratc1118874286d_frac,scratc1049582746d_n_eq,Xb,Xc,X),Xa)) # label(fact_def__indrat) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 24 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc311192342rt_nis,X),Xa)) <-> pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc704297836_rt_is,X),Xa))))) # label(fact_def__rt__nis) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 25 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1794417926_477_v(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1049648346d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1987874758nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1904210125nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1904210125nd_den,X)),aa_TPTP_ind_TPTP_ind(scratc1987874758nd_num,Xa)))) # label(fact_def__d__477__v) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 26 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1049648346d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1987874758nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1987874758nd_num,Xa))),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1904210125nd_den,X)),aa_TPTP_ind_TPTP_ind(scratc1904210125nd_den,Xa)))) # label(fact_def__n__tf) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 27 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc282846407_367_w(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1049648346d_n_fr,aa_TPTP_ind_TPTP_ind(scratc182668585367_vo(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1904210125nd_den,X)),aa_TPTP_ind_TPTP_ind(scratc1904210125nd_den,Xa)))) # label(fact_def__d__367__w) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 28 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc182668585367_vo(X),Xa) = scratc1946108031nd_ind(scratc1986562785nd_nat,aa_TPT43085870d_bool(scratc888787112ffprop(aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1987874758nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1904210125nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1987874758nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1904210125nd_den,X))))) # label(fact_def__d__367__vo) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 29 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1049648346d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1987874758nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1904210125nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1987874758nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1904210125nd_den,X)))),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1904210125nd_den,X)),aa_TPTP_ind_TPTP_ind(scratc1904210125nd_den,Xa)))) # label(fact_def__n__pf) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 30 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450469093lesseq,X),Xa)) <-> pp(aa_bool_bool(scratc918593807d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,X),Xa))))) # label(fact_def__lesseq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 31 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963996_moreq,X),Xa)) <-> pp(aa_bool_bool(scratc918593807d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,X),Xa))))) # label(fact_def__moreq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 32 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1987874758nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1904210125nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1987874758nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1904210125nd_den,X)))))) # label(fact_def__lessf) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 33 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1987874758nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1904210125nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1987874758nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1904210125nd_den,X)))))) # label(fact_def__moref) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 34 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1987874758nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1904210125nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1987874758nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1904210125nd_den,X)))))) # label(fact_def__n__eq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 35 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc191942899eft_f2(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc1400358631d_left(X,Xa,Xb),aa_TPTP_ind_TPTP_ind(scratc191942898eft_f1(X,Xa,Xb),Xc))) # label(fact_def__left__f2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 36 (all X all Xa all Xb scratc191942898eft_f1(X,Xa,Xb) = scratc1400358631d_left(X,Xb,Xa)) # label(fact_def__left__f1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 37 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc595098844_right(X,Xa,Xb),Xc) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1718512001_Sigma,aa_TPTP_ind_TPTP_ind(scratc1250809960_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].
% 1.59/1.88 38 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1400358631d_left(X,Xa,Xb),Xc) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1718512001_Sigma,aa_TPTP_ind_TPTP_ind(scratc1250809960_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].
% 1.59/1.88 39 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1477770448ght1to(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc1727739040d_outn(aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(X),aa_TPTP_ind_TPTP_ind(scratc1946108041nd_inn(Xa),Xb)))) # label(fact_def__right1to) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 40 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1333275397eft1to(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc1727739040d_outn(X),aa_TPTP_ind_TPTP_ind(scratc1946108041nd_inn(Xa),Xb))) # label(fact_def__left1to) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 41 (all X aa_TPTP_ind_TPTP_ind(scratc113585814d_xout,X) = aa_TPTP_ind_TPTP_ind(scratc1727739040d_outn(X),X)) # label(fact_def__xout) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 42 (all X aa_TPTP_ind_TPTP_ind(scratc786429441d_1out,X) = aa_TPTP_ind_TPTP_ind(scratc1727739040d_outn(X),scratc764021091nd_n_1)) # label(fact_def__d__1out) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 43 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc2042840665air_q0(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc678386199_pair1(X),aa_TPTP_ind_TPTP_ind(scratc849595937first1(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc339160413econd1(X),Xa))) # label(fact_def__pair__q0) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 44 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc339160413econd1(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,Xa),scratc1046237200d_n_2t)) # label(fact_def__second1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 45 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc849595937first1(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,Xa),scratc1046171601d_n_1t)) # label(fact_def__first1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 46 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc678386199_pair1(X),Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1718512001_Sigma,aa_TPTP_ind_TPTP_ind(scratc1250809960_d_1to,scratc764021092nd_n_2)),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ai(X),Xa),Xb))) # label(fact_def__pair1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 47 (all X aa_TPTP_ind_TPTP_ind(scratc1580067217r1type,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc389980509d_d_Pi,aa_TPTP_ind_TPTP_ind(scratc1250809960_d_1to,scratc764021092nd_n_2)),aTP_Lamm_aj(X))) # label(fact_def__pair1type) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 48 (all X scratc1946108041nd_inn(X) = scratc1531184778d_e_in(scratc1986562785nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ak,X))) # label(fact_def__inn) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 49 (all X scratc1727739040d_outn(X) = scratc1996136270nd_out(scratc1986562785nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ak,X))) # label(fact_def__outn) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 50 (all X aa_TPTP_ind_TPTP_ind(scratc1250809960_d_1to,X) = aa_fun1431113780TP_ind(scratc1530717146_d_Sep(scratc1986562785nd_nat),aa_TPT43085870d_bool(aTP_Lamm_ak,X))) # label(fact_def__d__1to) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 51 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1050107535d_n_mn(X),Xa) = scratc1946108031nd_ind(scratc1986562785nd_nat,aa_TPT43085870d_bool(scratc888787112ffprop(X),Xa))) # label(fact_def__n__mn) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 52 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc545279040_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(X),Xa)),Xb)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(X),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Xa),Xb)))))) # label(fact_def__d__431__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 53 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2104400513_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(X),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Xa),Xb))),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(X),Xb)))))) # label(fact_def__d__430__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 54 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1710496823_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Xa),X))))) # label(fact_def__d__429__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 55 (all X scratc1050566733d_n_ts(X) = aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,aa_TPTP_ind_TPTP_ind(scratc776116006_times,X))) # label(fact_def__n__ts) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 56 (all X aa_TPTP_ind_TPTP_ind(scratc776116006_times,X) = scratc1946108031nd_ind(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc389980509d_d_Pi,scratc1986562785nd_nat),aTP_Lamm_al),aa_TPT43085870d_bool(scratc1122134649_prop2,X))) # label(fact_def__times) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 57 (all X aa_TPTP_ind_TPTP_ind(scratc1172150961_428_g,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1718512001_Sigma,scratc1986562785nd_nat),aTP_Lamm_am(X))) # label(fact_def__d__428__g) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 58 (all X (pp(aa_TPTP_ind_bool(scratc1122134651_prop4,X)) <-> pp(aa_fun171081125l_bool(scratc1592867136l_some(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc389980509d_d_Pi,scratc1986562785nd_nat),aTP_Lamm_al)),aa_TPT43085870d_bool(scratc1122134649_prop2,X))))) # label(fact_def__d__428__prop4) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 59 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1122134649_prop2,X),Xa)) <-> pp(scratc1646968595_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,Xa),scratc764021091nd_n_1)),X),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1122134648_prop1,X),Xa))))) # label(fact_def__d__428__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 60 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1122134648_prop1,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1071942419_n_all,aa_TPT43085870d_bool(aTP_Lamm_ao(X),Xa))))) # label(fact_def__d__428__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 61 (all X all Xa (pp(aa_TPTP_ind_bool(scratc1978826066nd_min(X),Xa)) <-> pp(scratc1646968595_d_and(aa_TPTP_ind_bool(scratc1050041924d_n_lb(X),Xa),aa_TPTP_ind_bool(X,Xa))))) # label(fact_def__min) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 62 (all X all Xa (pp(aa_TPTP_ind_bool(scratc1050041924d_n_lb(X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1071942419_n_all,aa_TPT43085870d_bool(scratc2124860057lbprop(X),Xa))))) # label(fact_def__n__lb) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 63 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2124860057lbprop(X),Xa),Xb)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1946042444nd_imp,aa_TPTP_ind_bool(X,Xb)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,Xa),Xb))))) # label(fact_def__lbprop) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 64 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,X),Xa)) <-> pp(aa_bool_bool(scratc918593807d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,X),Xa))))) # label(fact_def__lessis) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 65 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,X),Xa)) <-> pp(aa_bool_bool(scratc918593807d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,X),Xa))))) # label(fact_def__moreis) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 66 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc504695779_prop1,X),Xa)) <-> pp(scratc1995939408nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,X),Xa),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,X),Xa),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,X),Xa))))) # label(fact_def__d__29__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 67 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc189208130n_some,aa_TPT43085870d_bool(scratc888787112ffprop(Xa),X))))) # label(fact_def__iii) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 68 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc189208130n_some,aa_TPT43085870d_bool(scratc888787112ffprop(X),Xa))))) # label(fact_def__d__29__ii) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 69 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc888787112ffprop(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,X),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Xa),Xb))))) # label(fact_def__diffprop) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 70 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2063817252_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1987087576nd_nis,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(X),Xb))))) # label(fact_def__d__28__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 71 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1475455077_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1987087576nd_nis,Xa),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(X),Xa))))) # label(fact_def__d__27__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 72 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc887092902_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Xa),X))))) # label(fact_def__d__26__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 73 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc298730727_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(X),Xa)),Xb)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(X),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Xa),Xb)))))) # label(fact_def__d__25__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 74 (all X scratc1050304330d_n_pl(X) = aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,aa_TPTP_ind_TPTP_ind(scratc286554650d_plus,X))) # label(fact_def__n__pl) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 75 (all X aa_TPTP_ind_TPTP_ind(scratc286554650d_plus,X) = scratc1946108031nd_ind(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc389980509d_d_Pi,scratc1986562785nd_nat),aTP_Lamm_al),aa_TPT43085870d_bool(scratc1857852201_prop2,X))) # label(fact_def__plus) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 76 (all X aa_TPTP_ind_TPTP_ind(scratc2131653473d_24_g,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1718512001_Sigma,scratc1986562785nd_nat),aTP_Lamm_ap(X))) # label(fact_def__d__24__g) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 77 (all X (pp(aa_TPTP_ind_bool(scratc1112904529_prop4,X)) <-> pp(aa_fun171081125l_bool(scratc1592867136l_some(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc389980509d_d_Pi,scratc1986562785nd_nat),aTP_Lamm_al)),aa_TPT43085870d_bool(scratc1857852201_prop2,X))))) # label(fact_def__prop4) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 78 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1112904528_prop3(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,X),Xb)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,Xa),Xb))))) # label(fact_def__prop3) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 79 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1857852201_prop2,X),Xa)) <-> pp(scratc1646968595_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,Xa),scratc764021091nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,X)),aa_TPTP_ind_bool(scratc1857852200_prop1,Xa))))) # label(fact_def__d__24__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 80 (all X (pp(aa_TPTP_ind_bool(scratc1857852200_prop1,X)) <-> pp(aa_fun171081125l_bool(scratc1071942419_n_all,aa_TPT43085870d_bool(aTP_Lamm_aq,X))))) # label(fact_def__d__24__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 81 (all X (pp(aa_TPTP_ind_bool(scratc1269490025_prop1,X)) <-> pp(aa_bool_bool(scratc918593807d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,X),scratc764021091nd_n_1)),aa_fun171081125l_bool(scratc189208130n_some,aa_TPT43085870d_bool(aTP_Lamm_ar,X)))))) # label(fact_def__d__23__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 82 (all X (pp(aa_TPTP_ind_bool(scratc681127850_prop1,X)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1987087576nd_nis,aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,X)),X)))) # label(fact_def__d__22__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 83 (all X (pp(aa_TPTP_ind_bool(scratc1127627664_cond2,X)) <-> pp(aa_fun171081125l_bool(scratc1071942419_n_all,aa_TPT43085870d_bool(aTP_Lamm_as,X))))) # label(fact_def__cond2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 84 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1987087576nd_nis,X),Xa)) <-> pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,X),Xa))))) # label(fact_def__nis) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 85 (all X all Xa all Xb all Xc all Xd scratc914327719indeq2(X,Xa,Xb,Xc,Xd) = aa_TPT1424761345TP_ind(scratc659425867_indeq(X,Xa,Xb),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc797811237d_11_i(X,Xa,Xb),Xc),Xd))) # label(fact_def__indeq2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 86 (all X all Xa all Xb scratc797811237d_11_i(X,Xa,Xb) = scratc659425867_indeq(X,Xa,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc389980509d_d_Pi,X),aTP_Lamm_aj(Xb)))) # label(fact_def__d__11__i) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 87 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1130817870fixfu2(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc334722680all_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].
% 1.59/1.88 88 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc659425867_indeq(X,Xa,Xb),Xc),Xd) = scratc1946108031nd_ind(Xb,aa_TPT43085870d_bool(scratc1112904527_prop2(X,Xa,Xb,Xc),Xd))) # label(fact_def__indeq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 89 (all X all Xa all Xb all Xc all Xd all Xe (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1112904527_prop2(X,Xa,Xb,Xc),Xd),Xe)) <-> pp(aa_fun171081125l_bool(scratc1592867136l_some(X),aa_TPT43085870d_bool(scratc257691179_prop1(X,Xa,Xb,Xc,Xd),Xe))))) # label(fact_def__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 90 (all X all Xa all Xb all Xc all Xd all Xe all Xf (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc257691179_prop1(X,Xa,Xb,Xc,Xd),Xe),Xf)) <-> pp(scratc1646968595_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc347794979d_esti(X),Xf),aa_TPTP_ind_TPTP_ind(scratc407741720_ecect(X,Xa),Xd)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1531184783d_e_is(Xb),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,Xc),Xf)),Xe))))) # label(fact_def__d__10__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 91 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2093027300_fixfu(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc334722680all_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].
% 1.59/1.88 92 (all X all Xa scratc407741720_ecect(X,Xa) = scratc1531184778d_e_in(aa_TPTP_ind_TPTP_ind(scratc983997093_power,X),scratc1478121963d_anec(X,Xa))) # label(fact_def__ecect) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 93 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1527642519ectelt(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc1642844396ectset(X,Xa),aa_TPTP_ind_TPTP_ind(scratc408332111_ecelt(X,Xa),Xb))) # label(fact_def__ectelt) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 94 (all X all Xa scratc1642844396ectset(X,Xa) = scratc1996136270nd_out(aa_TPTP_ind_TPTP_ind(scratc983997093_power,X),scratc1478121963d_anec(X,Xa))) # label(fact_def__ectset) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 95 (all X all Xa scratc1912340438nd_ect(X,Xa) = aa_fun1431113780TP_ind(scratc1530717146_d_Sep(aa_TPTP_ind_TPTP_ind(scratc983997093_power,X)),scratc1478121963d_anec(X,Xa))) # label(fact_def__ect) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 96 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(scratc1478121963d_anec(X,Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1592867136l_some(X),aa_TPT43085870d_bool(scratc1912340434nd_ecp(X,Xa),Xb))))) # label(fact_def__anec) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 97 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1912340434nd_ecp(X,Xa),Xb),Xc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1531184783d_e_is(aa_TPTP_ind_TPTP_ind(scratc983997093_power,X)),Xb),aa_TPTP_ind_TPTP_ind(scratc408332111_ecelt(X,Xa),Xc))))) # label(fact_def__ecp) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 98 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc408332111_ecelt(X,Xa),Xb) = aa_fun1431113780TP_ind(scratc1530717146_d_Sep(X),aa_TPT43085870d_bool(Xa,Xb))) # label(fact_def__ecelt) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 99 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1748961742unmore(X,Xa),Xb) = aa_fun1431113780TP_ind(scratc1530717146_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].
% 1.59/1.88 100 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1629901357etprop(X,Xa),Xb),Xc)) <-> pp(scratc1646968595_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc347794979d_esti(X),Xc),Xa),scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc347794979d_esti(X),Xc),Xb)))))) # label(fact_def__nissetprop) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 101 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1299309853t_disj(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1879884801nd_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].
% 1.59/1.88 102 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1280237422d_incl(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1879884801nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_be(X),Xa),Xb))))) # label(fact_def__incl) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 103 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2039968800nempty,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1592867136l_some(X),aa_TPT43085870d_bool(aTP_Lamm_bf(X),Xa))))) # label(fact_def__nonempty) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 104 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1863154509_empty,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X)),scratc1987481165nd_non(X,aa_TPT43085870d_bool(aTP_Lamm_bf(X),Xa)))))) # label(fact_def__empty) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 105 (all X scratc347794979d_esti(X) = scratc1596459301bnd_in) # label(fact_def__esti) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 106 (all X all Xa (scratc1312872592d_r_ec(X,Xa) <-> (pp(X) -> pp(scratc1754433775_d_not(Xa))))) # label(fact_def__r__ec) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 107 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(scratc977038902hangef(X,Xa,Xb,Xc),Xd) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1718512001_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].
% 1.59/1.88 108 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1510871193wissel(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1718512001_Sigma,X),scratc1569271044sel_wb(X,Xa,Xb))) # label(fact_def__wissel) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 109 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1569271044sel_wb(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc1946501626nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1531184783d_e_is(X),Xc),Xb),X,Xa),aa_TPTP_ind_TPTP_ind(scratc1569271043sel_wa(X,Xa,Xb),Xc))) # label(fact_def__wissel__wb) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 110 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1569271043sel_wa(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc1946501626nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1531184783d_e_is(X),Xc),Xa),X,Xb),Xc)) # label(fact_def__wissel__wa) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 111 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1946501626nd_ite(X,Xa,Xb),Xc) = scratc1946108031nd_ind(Xa,aa_TPT43085870d_bool(scratc1112904526_prop1(X,Xa,Xb),Xc))) # label(fact_def__ite) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 112 (all X all Xa all Xb all Xc all Xd (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1112904526_prop1(X,Xa,Xb),Xc),Xd)) <-> pp(scratc1646968595_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1946042444nd_imp,X),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1531184783d_e_is(Xa),Xd),Xb)),aa_bool_bool(aa_boo1142376798l_bool(scratc1946042444nd_imp,scratc1754433775_d_not(X)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1531184783d_e_is(Xa),Xd),Xc)))))) # label(fact_def__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 113 (all X all Xa scratc122603476second(X,Xa) = scratc1112510932_proj1) # label(fact_def__second) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 114 (all X all Xa scratc2044311056_first(X,Xa) = scratc1112510931_proj0) # label(fact_def__first) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 115 (all X all Xa scratc454850814d_pair(X,Xa) = scratc194890906d_pair) # label(fact_def__d__pair) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 116 (all X all Xa scratc1996136270nd_out(X,Xa) = scratc504633130d_soft(aa_fun1431113780TP_ind(scratc1530717146_d_Sep(X),Xa),X,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1718512001_Sigma,aa_fun1431113780TP_ind(scratc1530717146_d_Sep(X),Xa)),scratc1531184778d_e_in(X,Xa)))) # label(fact_def__out) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 117 (all X all Xa all Xb (gg_TPTP_ind(Xb) -> aa_TPTP_ind_TPTP_ind(scratc1531184778d_e_in(X,Xa),Xb) = Xb)) # label(fact_def__e__in) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 118 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(scratc1252133859_inj_h(X,Xa,Xb,Xc),Xd) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1718512001_Sigma,X),aa_TPT1424761345TP_ind(aTP_Lamm_bh(Xc),Xd))) # label(fact_def__inj__h) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 119 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1281483797d_invf(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1718512001_Sigma,Xa),scratc504633130d_soft(X,Xa,Xb))) # label(fact_def__invf) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 120 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1569499493ective(X),Xa),Xb)) <-> pp(scratc1646968595_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1385780263ective(X),Xa),Xb),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1165646652ective(X),Xa),Xb))))) # label(fact_def__bijective) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 121 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1165646652ective(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1879884801nd_all(Xa),aa_TPT43085870d_bool(scratc2001668987_image(X,Xa),Xb))))) # label(fact_def__surjective) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 122 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc963079952nverse(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1718512001_Sigma,Xa),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_bi(X),Xa),Xb))) # label(fact_def__inverse) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 123 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc504633130d_soft(X,Xa,Xb),Xc) = scratc1946108031nd_ind(X,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bj(Xa),Xb),Xc))) # label(fact_def__soft) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 124 (all X all Xa scratc1285220328d_tofs(X,Xa) = scratc1595934511bnd_ap) # label(fact_def__tofs) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 125 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2001668987_image(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc1592867136l_some(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bj(Xa),Xb),Xc))))) # label(fact_def__image) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 126 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1385780263ective(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1879884801nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bl(X),Xa),Xb))))) # label(fact_def__injective) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 127 (all X all Xa scratc1946108031nd_ind(X,Xa) = scratc1913193224nd_eps(aa_fun1584354236d_bool(aTP_Lamm_bm(X),Xa))) # label(fact_def__ind) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 128 (all X all Xa (pp(aa_fun171081125l_bool(scratc1995677062nd_one(X),Xa)) <-> pp(scratc1646968595_d_and(scratc1591209530_amone(X,Xa),aa_fun171081125l_bool(scratc1592867136l_some(X),Xa))))) # label(fact_def__one) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 129 (all X all Xa (pp(scratc1591209530_amone(X,Xa)) <-> pp(aa_fun171081125l_bool(scratc334722680all_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].
% 1.59/1.88 130 (all X scratc1531184783d_e_is(X) = fequal_TPTP_ind) # label(fact_def__e__is) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 131 (all X all Xa all Xb (scratc2037356050_orec3(X,Xa,Xb) <-> pp(scratc1646968595_d_and(scratc1995939408nd_or3(X,Xa,Xb),scratc1912340373nd_ec3(X,Xa,Xb))))) # label(fact_def__orec3) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 132 (all X all Xa all Xb (pp(scratc1912340373nd_ec3(X,Xa,Xb)) <-> scratc1478056316d_and3(scratc917937802d_l_ec(X,Xa),scratc917937802d_l_ec(Xa,Xb),scratc917937802d_l_ec(Xb,X)))) # label(fact_def__ec3) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 133 (all X all Xa all Xb (scratc1478056316d_and3(X,Xa,Xb) <-> pp(scratc1646968595_d_and(X,scratc1646968595_d_and(Xa,Xb))))) # label(fact_def__and3) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 134 (all X all Xa all Xb (pp(scratc1995939408nd_or3(X,Xa,Xb)) <-> pp(aa_bool_bool(scratc918593807d_l_or(X),aa_bool_bool(scratc918593807d_l_or(Xa),Xb))))) # label(fact_def__or3) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 135 (all X all Xa (pp(aa_fun171081125l_bool(scratc1592867136l_some(X),Xa)) <-> pp(scratc1754433775_d_not(aa_fun171081125l_bool(scratc334722680all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X)),scratc1987481165nd_non(X,Xa)))))) # label(fact_def__l__some) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 136 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(scratc1987481165nd_non(X,Xa),Xb)) <-> pp(scratc1754433775_d_not(aa_TPTP_ind_bool(Xa,Xb))))) # label(fact_def__non) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 137 (all X scratc1879884801nd_all(X) = scratc334722680all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X))) # label(fact_def__all) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 138 (all X all Xa (scratc393626397_l_iff(X,Xa) <-> pp(scratc1646968595_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1946042444nd_imp,X),Xa),aa_bool_bool(aa_boo1142376798l_bool(scratc1946042444nd_imp,Xa),X))))) # label(fact_def__l__iff) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 139 (all X all Xa (scratc1701970529d_orec(X,Xa) <-> pp(scratc1646968595_d_and(aa_bool_bool(scratc918593807d_l_or(X),Xa),scratc917937802d_l_ec(X,Xa))))) # label(fact_def__orec) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 140 (all X scratc918593807d_l_or(X) = aa_boo1142376798l_bool(scratc1946042444nd_imp,scratc1754433775_d_not(X))) # label(fact_def__l__or) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 141 (all X all Xa (pp(scratc1646968595_d_and(X,Xa)) <-> pp(scratc1754433775_d_not(scratc917937802d_l_ec(X,Xa))))) # label(fact_def__d__and) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 142 (all X all Xa (pp(scratc917937802d_l_ec(X,Xa)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1946042444nd_imp,X),scratc1754433775_d_not(Xa))))) # label(fact_def__l__ec) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 143 scratc1828162599bvious <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1946042444nd_imp,fFalse),fFalse)) # label(fact_def__obvious) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 144 (all X (scratc2061178718nd_wel(X) <-> pp(scratc1754433775_d_not(scratc1754433775_d_not(X))))) # label(fact_def__wel) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 145 (all X (pp(scratc1754433775_d_not(X)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1946042444nd_imp,X),fFalse)))) # label(fact_def__d__not) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 146 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc389980509d_d_Pi,X),Xa) = aa_fun1431113780TP_ind(scratc1530717146_d_Sep(aa_TPTP_ind_TPTP_ind(scratc983997093_power,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1718512001_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].
% 1.59/1.88 147 (all X (gg_TPTP_ind(X) -> (pp(aa_TPTP_ind_bool(scratc1421582230pair_p,X)) <-> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc194890906d_pair,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,X),scratc1754373813ptyset)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,X),aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,scratc1754373813ptyset))) = X))) # label(fact_def__pair__p) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 148 (all X all Xa aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,X),Xa) = aa_fun277296641TP_ind(scratc45878283eplSep(X,aa_TPT43085870d_bool(aTP_Lamm_br,Xa)),scratc1112510932_proj1)) # label(fact_def__ap) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 149 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1198755353etprod(X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1718512001_Sigma,X),aTP_Lamm_aj(Xa))) # label(fact_def__setprod) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 150 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1718512001_Sigma,X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2119814365munion,X),aTP_Lamm_bs(Xa))) # label(fact_def__d__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 151 (all X aa_TPTP_ind_TPTP_ind(scratc1112510932_proj1,X) = aa_fun277296641TP_ind(scratc45878283eplSep(X,aTP_Lamm_bt),scratc1547830541_d_Unj)) # label(fact_def__proj1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 152 (all X aa_TPTP_ind_TPTP_ind(scratc1112510931_proj0,X) = aa_fun277296641TP_ind(scratc45878283eplSep(X,aTP_Lamm_bu),scratc1547830541_d_Unj)) # label(fact_def__proj0) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 153 (all X all Xa aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc194890906d_pair,X),Xa) = aa_TPTP_ind_TPTP_ind(scratc966187816nunion(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1789570511d_repl,X),scratc184186223d_Inj0)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1789570511d_repl,Xa),scratc184186224d_Inj1))) # label(fact_def__pair) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 154 (all X aa_TPTP_ind_TPTP_ind(scratc184186223d_Inj0,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1789570511d_repl,X),scratc184186224d_Inj1)) # label(fact_def__d__Inj0) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 155 (all X (pp(aa_TPTP_ind_bool(scratc398673551_nat_p,X)) <-> (all X1 (pp(aa_TPTP_ind_bool(X1,scratc1754373813ptyset)) -> ((all X2 (gg_TPTP_ind(X2) -> (pp(aa_TPTP_ind_bool(X1,X2)) -> pp(aa_TPTP_ind_bool(X1,aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,X2)))))) -> pp(aa_TPTP_ind_bool(X1,X))))))) # label(fact_def__nat__p) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 156 (all X aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,X) = aa_TPTP_ind_TPTP_ind(scratc966187816nunion(X),aa_TPTP_ind_TPTP_ind(scratc1506562195d_Sing,X))) # label(fact_def__ordsucc) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 157 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1921125511In_rec(X),Xa) = scratc1913193224nd_eps(aa_TPT43085870d_bool(scratc419815744_rec_G(X),Xa))) # label(fact_def__d__In__rec) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 158 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc419815744_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(scratc1596459301bnd_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].
% 1.59/1.88 159 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc882473358tminus(X),Xa) = aa_fun1431113780TP_ind(scratc1530717146_d_Sep(X),aa_TPT43085870d_bool(aTP_Lamm_bx,Xa))) # label(fact_def__setminus) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 160 (all X all Xa scratc45878283eplSep(X,Xa) = aa_TPT494704832TP_ind(scratc1789570511d_repl,aa_fun1431113780TP_ind(scratc1530717146_d_Sep(X),Xa))) # label(fact_def__d__ReplSep) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 161 (all X all Xa aa_fun1431113780TP_ind(scratc1530717146_d_Sep(X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1596459293bnd_if(fEx_TPTP_ind(cOMBS_2003118649l_bool(cOMBB_658106424TP_ind(fconj,aa_TPT43085870d_bool(cOMBC_1555011498d_bool(scratc1596459301bnd_in),X)),Xa)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1789570511d_repl,X),aa_fun1235454963TP_ind(aTP_Lamm_by(X),Xa))),scratc1754373813ptyset)) # label(fact_def__d__Sep) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 162 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2119814365munion,X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1491258959_union,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1789570511d_repl,X),Xa))) # label(fact_def__famunion) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 163 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc966187816nunion(X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1491258959_union,aa_TPTP_ind_TPTP_ind(scratc1612998379_UPair(X),Xa))) # label(fact_def__binunion) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 164 (all X aa_TPTP_ind_TPTP_ind(scratc1506562195d_Sing,X) = aa_TPTP_ind_TPTP_ind(scratc1612998379_UPair(X),X)) # label(fact_def__d__Sing) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 165 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1612998379_UPair(X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1789570511d_repl,aa_TPTP_ind_TPTP_ind(scratc983997093_power,aa_TPTP_ind_TPTP_ind(scratc983997093_power,scratc1754373813ptyset))),aa_TPT1424761345TP_ind(aTP_Lamm_bz(X),Xa))) # label(fact_def__d__UPair) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 166 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1984988403nd_nIn,X),Xa)) <-> -pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X),Xa)))) # label(fact_def__nIn) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 167 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1596459293bnd_if(X,Xa),Xb) = scratc1913193224nd_eps(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ca(X),Xa),Xb))) # label(fact_def__if) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 168 (all X (pp(aa_TPTP_ind_bool(scratc718339644closed,X)) <-> pp(aa_TPTP_ind_bool(scratc1509474135closed,X)) & pp(aa_TPTP_ind_bool(scratc1674207149closed,X)) & pp(aa_TPTP_ind_bool(scratc2105513695closed,X)))) # label(fact_def__d__ZF__closed) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 169 (all X (pp(aa_TPTP_ind_bool(scratc2105513695closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X1),X)) -> (all X2 ((all X3 (gg_TPTP_ind(X3) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X3),X1)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,aa_TPTP_ind_TPTP_ind(X2,X3)),X))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1789570511d_repl,X1),X2)),X))))))))) # label(fact_def__d__Repl__closed) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 170 (all X (pp(aa_TPTP_ind_bool(scratc1674207149closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X1),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,aa_TPTP_ind_TPTP_ind(scratc983997093_power,X1)),X))))))) # label(fact_def__d__Power__closed) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 171 (all X (pp(aa_TPTP_ind_bool(scratc1509474135closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X1),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,aa_TPTP_ind_TPTP_ind(scratc1491258959_union,X1)),X))))))) # label(fact_def__d__Union__closed) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 172 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1604913077d_Subq,X),Xa)) <-> (all X2 (gg_TPTP_ind(X2) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X2),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X2),Xa))))))) # label(fact_def__d__Subq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 173 (all X all Xa (pp(aa_fun171081125l_bool(scratc334722680all_of(X),Xa)) <-> (all X2 (gg_TPTP_ind(X2) -> (scratc512029345_is_of(X2,X) -> pp(aa_TPTP_ind_bool(Xa,X2))))))) # label(fact_def__all__of) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 174 (all X all Xa (scratc512029345_is_of(X,Xa) <-> pp(aa_TPTP_ind_bool(Xa,X)))) # label(fact_def__is__of) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 175 (all X0 (pp(aa_fun171081125l_bool(scratc189208130n_some,X0)) -> pp(aa_fun171081125l_bool(scratc1187734680_n_one,scratc1978826066nd_min(X0))))) # label(fact_satz27a) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 176 (all X0 (pp(aa_fun171081125l_bool(scratc189208130n_some,X0)) -> pp(aa_fun171081125l_bool(scratc189208130n_some,scratc1978826066nd_min(X0))))) # label(fact_satz27) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 177 (all X0 pp(aa_fun171081125l_bool(scratc334722680all_of(aa_TPT43085870d_bool(aTP_Lamm_abf,X0)),aa_TPT43085870d_bool(aTP_Lamm_abh,X0)))) # label(fact_isseti) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 178 (all X0 all X12 pp(aa_fun171081125l_bool(scratc334722680all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_fun1584354236d_bool(aTP_Lamm_abi(X0),X12)))) # label(fact_estie) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 179 (all X0 all X12 pp(aa_fun171081125l_bool(scratc334722680all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_fun1584354236d_bool(aTP_Lamm_abj(X0),X12)))) # label(fact_estii) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 180 (all X0 all X12 scratc512029345_is_of(aa_fun1431113780TP_ind(scratc1530717146_d_Sep(X0),X12),aa_TPT43085870d_bool(aTP_Lamm_abf,X0))) # label(fact_setof__p) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 181 (all X0 all X12 pp(aa_fun171081125l_bool(scratc334722680all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_TPT43085870d_bool(aTP_Lamm_abl(X0),X12)))) # label(fact_secondis1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 182 (all X0 all X12 pp(aa_fun171081125l_bool(scratc334722680all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_TPT43085870d_bool(aTP_Lamm_abn(X0),X12)))) # label(fact_firstis1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 183 (all X0 all X12 pp(aa_fun171081125l_bool(scratc334722680all_of(aa_TPT43085870d_bool(aTP_Lamm_abo(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_abp(X0),X12)))) # label(fact_pairis1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 184 (all X0 all X12 pp(aa_fun171081125l_bool(scratc334722680all_of(aa_TPT43085870d_bool(aTP_Lamm_abo(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_abq(X0),X12)))) # label(fact_second__p) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 185 (all X0 all X12 pp(aa_fun171081125l_bool(scratc334722680all_of(aa_TPT43085870d_bool(aTP_Lamm_abo(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_abr(X0),X12)))) # label(fact_first__p) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 186 (all X0 all X12 pp(aa_fun171081125l_bool(scratc334722680all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_TPT43085870d_bool(aTP_Lamm_abt(X0),X12)))) # label(fact_e__pair__p) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 187 (all X0 all X12 pp(aa_fun171081125l_bool(scratc334722680all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_fun1584354236d_bool(aTP_Lamm_abu(X0),X12)))) # label(fact_otax2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 188 (all X0 all X12 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1385780263ective(aa_fun1431113780TP_ind(scratc1530717146_d_Sep(X0),X12)),X0),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1718512001_Sigma,aa_fun1431113780TP_ind(scratc1530717146_d_Sep(X0),X12)),scratc1531184778d_e_in(X0,X12))))) # label(fact_otax1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 189 (all X0 all X12 pp(aa_fun171081125l_bool(scratc334722680all_of(aa_fun1584354236d_bool(aTP_Lamm_abv(X0),X12)),aa_fun1584354236d_bool(aTP_Lamm_abw(X0),X12)))) # label(fact_e__inp) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 190 (all X0 all X12 pp(aa_fun171081125l_bool(scratc334722680all_of(aa_fun1584354236d_bool(aTP_Lamm_abv(X0),X12)),aa_fun1584354236d_bool(aTP_Lamm_abx(X0),X12)))) # label(fact_e__in__p) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 191 (all X0 all X12 pp(aa_fun171081125l_bool(scratc334722680all_of(aa_TPT43085870d_bool(aTP_Lamm_aby(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_acb(X0),X12)))) # label(fact_e__fisi) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 192 (all X0 all X12 (pp(aa_fun171081125l_bool(scratc1995677062nd_one(X0),X12)) -> pp(aa_TPTP_ind_bool(X12,scratc1946108031nd_ind(X0,X12))))) # label(fact_oneax) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 193 (all X0 all X12 (pp(aa_fun171081125l_bool(scratc1995677062nd_one(X0),X12)) -> scratc512029345_is_of(scratc1946108031nd_ind(X0,X12),aa_TPT43085870d_bool(aTP_Lamm_au,X0)))) # label(fact_ind__p) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 194 (all X0 all X12 pp(aa_fun171081125l_bool(scratc334722680all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_fun1584354236d_bool(aTP_Lamm_acd(X0),X12)))) # label(fact_e__isp) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 195 (all X0 pp(aa_fun171081125l_bool(scratc334722680all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_TPT43085870d_bool(aTP_Lamm_ace,X0)))) # label(fact_refis) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 196 (all X0 (scratc2061178718nd_wel(X0) -> pp(X0))) # label(fact_l__et) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 197 (all X0 all X12 all X22 all X32 (pp(X0) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1596459293bnd_if(X0,X22),X32))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X12),X22))))) # label(fact_k__If__In__then__E) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 198 (all X0 all X12 all X22 ((pp(X0) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X12),X22))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,aa_TPTP_ind_TPTP_ind(scratc1596459293bnd_if(X0,X12),scratc1754373813ptyset)),aa_TPTP_ind_TPTP_ind(scratc1596459293bnd_if(X0,X22),aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,scratc1754373813ptyset)))))) # label(fact_k__If__In__01) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 199 (all X0 all X12 all X22 ((all X33 (gg_TPTP_ind(X33) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X33),X0)) -> aa_TPTP_ind_TPTP_ind(X12,X33) = aa_TPTP_ind_TPTP_ind(X22,X33)))) -> aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1718512001_Sigma,X0),X12) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1718512001_Sigma,X0),X22))) # label(fact_xi__ext) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 200 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc389980509d_d_Pi,X0),X12))) -> (all X32 (gg_TPTP_ind(X32) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X32),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc389980509d_d_Pi,X0),X12))) -> ((all X42 (gg_TPTP_ind(X42) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X42),X0)) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,X22),X42) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,X32),X42)))) -> X22 = X32))))))) # label(fact_k__Pi__ext) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 201 (all X0 all X12 all X22 all X32 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc389980509d_d_Pi,X0),X12))) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X32),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,X22),X32)),aa_TPTP_ind_TPTP_ind(X12,X32)))))) # label(fact_ap__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 202 (all X0 all X12 all X22 ((all X33 (gg_TPTP_ind(X33) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X33),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,aa_TPTP_ind_TPTP_ind(X22,X33)),aa_TPTP_ind_TPTP_ind(X12,X33)))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1718512001_Sigma,X0),X22)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc389980509d_d_Pi,X0),X12))))) # label(fact_lam__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 203 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X22),X0)) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1718512001_Sigma,X0),X12)),X22) = aa_TPTP_ind_TPTP_ind(X12,X22))) # label(fact_beta) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 204 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1718512001_Sigma,X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,aa_TPTP_ind_TPTP_ind(scratc1112510932_proj1,X22)),aa_TPTP_ind_TPTP_ind(X12,aa_TPTP_ind_TPTP_ind(scratc1112510931_proj0,X22)))))) # label(fact_proj1__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 205 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1718512001_Sigma,X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,aa_TPTP_ind_TPTP_ind(scratc1112510931_proj0,X22)),X0)))) # label(fact_proj0__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 206 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1718512001_Sigma,X0),X12))) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc194890906d_pair,aa_TPTP_ind_TPTP_ind(scratc1112510931_proj0,X22)),aa_TPTP_ind_TPTP_ind(scratc1112510932_proj1,X22)) = X22))) # label(fact_proj__Sigma__eta) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 207 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1718512001_Sigma,X0),X12))) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc194890906d_pair,aa_TPTP_ind_TPTP_ind(scratc1112510931_proj0,X22)),aa_TPTP_ind_TPTP_ind(scratc1112510932_proj1,X22)) = X22 & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,aa_TPTP_ind_TPTP_ind(scratc1112510931_proj0,X22)),X0)) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,aa_TPTP_ind_TPTP_ind(scratc1112510932_proj1,X22)),aa_TPTP_ind_TPTP_ind(X12,aa_TPTP_ind_TPTP_ind(scratc1112510931_proj0,X22))))))) # label(fact_k__Sigma__eta__proj0__proj1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 208 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X22),X0)) -> (all X32 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X32),aa_TPTP_ind_TPTP_ind(X12,X22))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc194890906d_pair,X22),X32)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1718512001_Sigma,X0),X12))))))) # label(fact_pair__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 209 (all X0 all X12 (gg_TPTP_ind(X12) -> aa_TPTP_ind_TPTP_ind(scratc1112510932_proj1,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc194890906d_pair,X0),X12)) = X12)) # label(fact_proj1__pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 210 (all X0 all X12 (gg_TPTP_ind(X0) -> aa_TPTP_ind_TPTP_ind(scratc1112510931_proj0,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc194890906d_pair,X0),X12)) = X0)) # label(fact_proj0__pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 211 (all X0 (pp(aa_TPTP_ind_bool(scratc398673551_nat_p,X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X0),scratc282166145_omega)))) # label(fact_nat__p__omega) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 212 (all X0 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X0),scratc282166145_omega)) -> pp(aa_TPTP_ind_bool(scratc398673551_nat_p,X0)))) # label(fact_omega__nat__p) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.88 213 (all X0 (gg_TPTP_ind(X0) -> (pp(aa_TPTP_ind_bool(scratc398673551_nat_p,X0)) -> X0 = scratc1754373813ptyset | (exists X13 (gg_TPTP_ind(X13) & pp(aa_TPTP_ind_bool(scratc398673551_nat_p,X13)) & X0 = aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,X13)))))) # label(fact_nat__inv) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 214 (all X0 (pp(aa_TPTP_ind_bool(X0,scratc1754373813ptyset)) -> ((all X13 (gg_TPTP_ind(X13) -> (pp(aa_TPTP_ind_bool(scratc398673551_nat_p,X13)) -> (pp(aa_TPTP_ind_bool(X0,X13)) -> pp(aa_TPTP_ind_bool(X0,aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,X13))))))) -> (all X12 (pp(aa_TPTP_ind_bool(scratc398673551_nat_p,X12)) -> pp(aa_TPTP_ind_bool(X0,X12))))))) # label(fact_nat__ind) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 215 (all X0 (pp(aa_TPTP_ind_bool(scratc398673551_nat_p,X0)) -> pp(aa_TPTP_ind_bool(scratc398673551_nat_p,aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,X0))))) # label(fact_nat__ordsucc) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 216 (all X0 all X12 (gg_TPTP_ind(X0) & gg_TPTP_ind(X12) -> (aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,X0) = aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,X12) -> X0 = X12))) # label(fact_ordsucc__inj) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 217 (all X0 aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,X0) != scratc1754373813ptyset) # label(fact_neq__ordsucc__0) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 218 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X22),aa_fun1431113780TP_ind(scratc1530717146_d_Sep(X0),X12))) -> pp(aa_TPTP_ind_bool(X12,X22)))) # label(fact_k__SepE2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 219 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X22),aa_fun1431113780TP_ind(scratc1530717146_d_Sep(X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X22),X0)))) # label(fact_k__SepE1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 220 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X22),X0)) -> (pp(aa_TPTP_ind_bool(X12,X22)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X22),aa_fun1431113780TP_ind(scratc1530717146_d_Sep(X0),X12)))))) # label(fact_k__SepI) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 221 (all X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X0),aa_TPTP_ind_TPTP_ind(scratc983997093_power,X0)))) # label(fact_k__Self__In__Power) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 222 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1604913077d_Subq,X12),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc983997093_power,X0))))) # label(fact_k__PowerI) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 223 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc983997093_power,X0))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1604913077d_Subq,X12),X0)))) # label(fact_k__PowerE) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 224 (all X0 all X12 all X22 (gg_TPTP_ind(X12) & gg_TPTP_ind(X22) -> aa_TPTP_ind_TPTP_ind(scratc1596459293bnd_if(X0,X12),X22) = X12 | aa_TPTP_ind_TPTP_ind(scratc1596459293bnd_if(X0,X12),X22) = X22)) # label(fact_if__i__or) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 225 (all X0 all X12 all X22 (gg_TPTP_ind(X12) -> (pp(X0) -> aa_TPTP_ind_TPTP_ind(scratc1596459293bnd_if(X0,X12),X22) = X12))) # label(fact_if__i__1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 226 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (-pp(X0) -> aa_TPTP_ind_TPTP_ind(scratc1596459293bnd_if(X0,X12),X22) = X22))) # label(fact_if__i__0) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 227 (all X0 all X12 all X22 (gg_TPTP_ind(X12) & gg_TPTP_ind(X22) -> pp(X0) & aa_TPTP_ind_TPTP_ind(scratc1596459293bnd_if(X0,X12),X22) = X12 | -pp(X0) & aa_TPTP_ind_TPTP_ind(scratc1596459293bnd_if(X0,X12),X22) = X22)) # label(fact_if__i__correct) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 228 (all X0 pp(aa_TPTP_ind_bool(scratc718339644closed,aa_TPTP_ind_TPTP_ind(scratc831730333univof,X0)))) # label(fact_k__UnivOf__ZF__closed) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 229 (all X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X0),aa_TPTP_ind_TPTP_ind(scratc831730333univof,X0)))) # label(fact_k__UnivOf__In) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 230 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1789570511d_repl,X0),X12))) <-> (exists X3 (gg_TPTP_ind(X3) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X3),X0)) & X22 = aa_TPTP_ind_TPTP_ind(X12,X3)))))) # label(fact_k__ReplEq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 231 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc983997093_power,X0))) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1604913077d_Subq,X12),X0)))) # label(fact_k__PowerEq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 232 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1491258959_union,X0))) <-> (exists X2 (gg_TPTP_ind(X2) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X12),X2)) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X2),X0)))))) # label(fact_k__UnionEq) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 233 -(exists X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,X0),scratc1754373813ptyset))) # label(fact_k__EmptyAx) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 234 (all X0 ((all X13 (gg_TPTP_ind(X13) -> ((all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_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].
% 1.59/1.89 235 (all X0 all X12 (gg_TPTP_ind(X0) & gg_TPTP_ind(X12) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1604913077d_Subq,X0),X12)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1604913077d_Subq,X12),X0)) -> X0 = X12)))) # label(fact_set__ext) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 236 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aau,Uu)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1987087576nd_nis,Uu),scratc764021091nd_n_1)) -> pp(aa_fun171081125l_bool(scratc189208130n_some,aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)))))) # label(fact_ATP_Olambda__1) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 237 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aat,Uu)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1987087576nd_nis,Uu),scratc764021091nd_n_1)) -> pp(aa_fun171081125l_bool(scratc1187734680_n_one,aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)))))) # label(fact_ATP_Olambda__2) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 238 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aaq,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),scratc764021091nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uu))))) # label(fact_ATP_Olambda__3) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 239 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ss,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),scratc764021091nd_n_1)),Uu)))) # label(fact_ATP_Olambda__4) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 240 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aan,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(scratc764021091nd_n_1),Uu)),aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uu))))) # label(fact_ATP_Olambda__5) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 241 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sp,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(scratc764021091nd_n_1),Uu)),Uu)))) # label(fact_ATP_Olambda__6) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 242 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aas,Uu)) <-> pp(aa_fun171081125l_bool(scratc1995677062nd_one(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc389980509d_d_Pi,scratc1986562785nd_nat),aTP_Lamm_al)),aa_TPT43085870d_bool(aTP_Lamm_aar,Uu))))) # label(fact_ATP_Olambda__7) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 243 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_su,Uu)) <-> pp(aa_fun171081125l_bool(scratc1995677062nd_one(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc389980509d_d_Pi,scratc1986562785nd_nat),aTP_Lamm_al)),aa_TPT43085870d_bool(aTP_Lamm_st,Uu))))) # label(fact_ATP_Olambda__8) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 244 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aba,Uu)) <-> (pp(aa_TPTP_ind_bool(scratc1127627663_cond1,Uu)) -> (pp(aa_TPTP_ind_bool(scratc1127627664_cond2,Uu)) -> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_aaz,Uu))))))) # label(fact_ATP_Olambda__9) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 245 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aak,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),scratc764021091nd_n_1))))) # label(fact_ATP_Olambda__10) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 246 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aah,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(scratc764021091nd_n_1),Uu))))) # label(fact_ATP_Olambda__11) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 247 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xh,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uu)),Uu)))) # label(fact_ATP_Olambda__12) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 248 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aav,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1987087576nd_nis,aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uu)),Uu)))) # label(fact_ATP_Olambda__13) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 249 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_abe,Uu)) <-> scratc512029345_is_of(aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uu),aTP_Lamm_kw))) # label(fact_ATP_Olambda__14) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 250 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tm,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uu)),scratc764021091nd_n_1)))) # label(fact_ATP_Olambda__15) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 251 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_abd,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1987087576nd_nis,aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uu)),scratc764021091nd_n_1)))) # label(fact_ATP_Olambda__16) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 252 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sm,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),scratc764021091nd_n_1))))) # label(fact_ATP_Olambda__17) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 253 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sj,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(scratc764021091nd_n_1),Uu))))) # label(fact_ATP_Olambda__18) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 254 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xg,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uu),aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uu))))) # label(fact_ATP_Olambda__19) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 255 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aay,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,Uu),aa_TPTP_ind_TPTP_ind(scratc983997093_power,scratc1986562785nd_nat))))) # label(fact_ATP_Olambda__20) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 256 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cs,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc704297836_rt_is,Uu),Uu)))) # label(fact_ATP_Olambda__21) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 257 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_op,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uu)))) # label(fact_ATP_Olambda__22) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 258 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tn,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,Uu),scratc764021091nd_n_1)))) # label(fact_ATP_Olambda__23) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 259 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ct,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,Uu),scratc1118874286d_frac)))) # label(fact_ATP_Olambda__24) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 260 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_a,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,Uu),scratc2019608805nd_rat)))) # label(fact_ATP_Olambda__25) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 261 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kw,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,Uu),scratc1986562785nd_nat)))) # label(fact_ATP_Olambda__26) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 262 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_abc,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_abb,Uu))))) # label(fact_ATP_Olambda__27) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 263 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aax,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_aaw,Uu))))) # label(fact_ATP_Olambda__28) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 264 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aap,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_aao,Uu))))) # label(fact_ATP_Olambda__29) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 265 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aam,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_aal,Uu))))) # label(fact_ATP_Olambda__30) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 266 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aaj,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_aai,Uu))))) # label(fact_ATP_Olambda__31) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 267 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aag,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_aaf,Uu))))) # label(fact_ATP_Olambda__32) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 268 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aae,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_aad,Uu))))) # label(fact_ATP_Olambda__33) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 269 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aab,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_aaa,Uu))))) # label(fact_ATP_Olambda__34) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 270 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zz,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_zy,Uu))))) # label(fact_ATP_Olambda__35) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 271 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zx,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_zw,Uu))))) # label(fact_ATP_Olambda__36) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 272 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zu,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_zt,Uu))))) # label(fact_ATP_Olambda__37) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 273 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zr,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_zq,Uu))))) # label(fact_ATP_Olambda__38) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 274 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zp,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_zo,Uu))))) # label(fact_ATP_Olambda__39) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 275 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zl,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_zk,Uu))))) # label(fact_ATP_Olambda__40) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 276 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zj,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_zi,Uu))))) # label(fact_ATP_Olambda__41) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 277 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zh,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_zg,Uu))))) # label(fact_ATP_Olambda__42) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 278 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zf,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_ze,Uu))))) # label(fact_ATP_Olambda__43) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 279 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zd,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_zc,Uu))))) # label(fact_ATP_Olambda__44) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 280 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zb,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_za,Uu))))) # label(fact_ATP_Olambda__45) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 281 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yz,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_yy,Uu))))) # label(fact_ATP_Olambda__46) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 282 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yx,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_yw,Uu))))) # label(fact_ATP_Olambda__47) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 283 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yv,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_yu,Uu))))) # label(fact_ATP_Olambda__48) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 284 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yt,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_ys,Uu))))) # label(fact_ATP_Olambda__49) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 285 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yr,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_yq,Uu))))) # label(fact_ATP_Olambda__50) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 286 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yp,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_yo,Uu))))) # label(fact_ATP_Olambda__51) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 287 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yn,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_ym,Uu))))) # label(fact_ATP_Olambda__52) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 288 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yl,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_yk,Uu))))) # label(fact_ATP_Olambda__53) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 289 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yj,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_yi,Uu))))) # label(fact_ATP_Olambda__54) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 290 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yh,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_yg,Uu))))) # label(fact_ATP_Olambda__55) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 291 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yf,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_ye,Uu))))) # label(fact_ATP_Olambda__56) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 292 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yd,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_yc,Uu))))) # label(fact_ATP_Olambda__57) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 293 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ya,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_xz,Uu))))) # label(fact_ATP_Olambda__58) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 294 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xx,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_xw,Uu))))) # label(fact_ATP_Olambda__59) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 295 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xu,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_xt,Uu))))) # label(fact_ATP_Olambda__60) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 296 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xr,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_xq,Uu))))) # label(fact_ATP_Olambda__61) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 297 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xo,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_xn,Uu))))) # label(fact_ATP_Olambda__62) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 298 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xl,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_xk,Uu))))) # label(fact_ATP_Olambda__63) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 299 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xj,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_xi,Uu))))) # label(fact_ATP_Olambda__64) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 300 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xf,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_xe,Uu))))) # label(fact_ATP_Olambda__65) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 301 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xc,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_xb,Uu))))) # label(fact_ATP_Olambda__66) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 302 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wz,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_wy,Uu))))) # label(fact_ATP_Olambda__67) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 303 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ww,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_wv,Uu))))) # label(fact_ATP_Olambda__68) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 304 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wt,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_ws,Uu))))) # label(fact_ATP_Olambda__69) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 305 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wq,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_wp,Uu))))) # label(fact_ATP_Olambda__70) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 306 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wn,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_wm,Uu))))) # label(fact_ATP_Olambda__71) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 307 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wj,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_wi,Uu))))) # label(fact_ATP_Olambda__72) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 308 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wf,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_we,Uu))))) # label(fact_ATP_Olambda__73) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 309 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wb,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_wa,Uu))))) # label(fact_ATP_Olambda__74) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 310 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vx,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_vw,Uu))))) # label(fact_ATP_Olambda__75) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 311 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vu,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_vt,Uu))))) # label(fact_ATP_Olambda__76) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 312 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vr,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_vq,Uu))))) # label(fact_ATP_Olambda__77) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 313 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vo,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_vn,Uu))))) # label(fact_ATP_Olambda__78) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 314 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vl,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_vk,Uu))))) # label(fact_ATP_Olambda__79) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 315 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vi,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_vh,Uu))))) # label(fact_ATP_Olambda__80) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 316 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vf,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_ve,Uu))))) # label(fact_ATP_Olambda__81) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 317 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vc,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_vb,Uu))))) # label(fact_ATP_Olambda__82) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 318 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_uz,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_uy,Uu))))) # label(fact_ATP_Olambda__83) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 319 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_uw,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_uv,Uu))))) # label(fact_ATP_Olambda__84) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 320 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ut,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_us,Uu))))) # label(fact_ATP_Olambda__85) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 321 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_up,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_uo,Uu))))) # label(fact_ATP_Olambda__86) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 322 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ul,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_uk,Uu))))) # label(fact_ATP_Olambda__87) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 323 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_uh,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_ug,Uu))))) # label(fact_ATP_Olambda__88) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 324 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ud,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_uc,Uu))))) # label(fact_ATP_Olambda__89) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 325 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tz,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_ty,Uu))))) # label(fact_ATP_Olambda__90) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 326 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tv,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_tu,Uu))))) # label(fact_ATP_Olambda__91) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 327 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tr,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_tq,Uu))))) # label(fact_ATP_Olambda__92) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 328 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tk,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_tj,Uu))))) # label(fact_ATP_Olambda__93) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 329 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ti,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_th,Uu))))) # label(fact_ATP_Olambda__94) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 330 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tg,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_tf,Uu))))) # label(fact_ATP_Olambda__95) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 331 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_te,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_td,Uu))))) # label(fact_ATP_Olambda__96) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 332 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tc,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_tb,Uu))))) # label(fact_ATP_Olambda__97) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 333 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ta,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_sz,Uu))))) # label(fact_ATP_Olambda__98) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 334 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sy,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_sx,Uu))))) # label(fact_ATP_Olambda__99) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 335 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sw,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_sv,Uu))))) # label(fact_ATP_Olambda__100) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 336 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sr,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_sq,Uu))))) # label(fact_ATP_Olambda__101) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 337 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_so,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_sn,Uu))))) # label(fact_ATP_Olambda__102) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 338 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sl,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_sk,Uu))))) # label(fact_ATP_Olambda__103) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 339 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_si,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_sh,Uu))))) # label(fact_ATP_Olambda__104) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 340 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sg,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_sf,Uu))))) # label(fact_ATP_Olambda__105) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 341 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_se,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_sd,Uu))))) # label(fact_ATP_Olambda__106) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 342 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sb,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_sa,Uu))))) # label(fact_ATP_Olambda__107) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 343 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ry,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_rx,Uu))))) # label(fact_ATP_Olambda__108) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 344 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rv,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_ru,Uu))))) # label(fact_ATP_Olambda__109) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 345 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rs,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_rr,Uu))))) # label(fact_ATP_Olambda__110) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 346 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rp,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_ro,Uu))))) # label(fact_ATP_Olambda__111) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 347 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rm,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_rl,Uu))))) # label(fact_ATP_Olambda__112) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 348 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rj,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_ri,Uu))))) # label(fact_ATP_Olambda__113) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 349 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rg,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_rf,Uu))))) # label(fact_ATP_Olambda__114) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 350 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rc,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_rb,Uu))))) # label(fact_ATP_Olambda__115) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 351 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qy,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_qx,Uu))))) # label(fact_ATP_Olambda__116) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 352 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qu,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_qt,Uu))))) # label(fact_ATP_Olambda__117) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 353 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qq,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_qp,Uu))))) # label(fact_ATP_Olambda__118) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 354 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qn,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_qm,Uu))))) # label(fact_ATP_Olambda__119) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 355 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qk,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_qj,Uu))))) # label(fact_ATP_Olambda__120) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 356 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qh,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_qg,Uu))))) # label(fact_ATP_Olambda__121) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 357 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qe,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_qd,Uu))))) # label(fact_ATP_Olambda__122) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 358 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qb,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_qa,Uu))))) # label(fact_ATP_Olambda__123) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 359 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_py,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_px,Uu))))) # label(fact_ATP_Olambda__124) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 360 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pv,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_pu,Uu))))) # label(fact_ATP_Olambda__125) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 361 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pr,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_pq,Uu))))) # label(fact_ATP_Olambda__126) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 362 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pn,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_pm,Uu))))) # label(fact_ATP_Olambda__127) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 363 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pj,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_pi,Uu))))) # label(fact_ATP_Olambda__128) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 364 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pf,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_pe,Uu))))) # label(fact_ATP_Olambda__129) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 365 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pb,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_pa,Uu))))) # label(fact_ATP_Olambda__130) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 366 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ox,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_ow,Uu))))) # label(fact_ATP_Olambda__131) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 367 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ot,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_os,Uu))))) # label(fact_ATP_Olambda__132) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 368 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oj,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_oi,Uu))))) # label(fact_ATP_Olambda__133) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 369 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oh,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_og,Uu))))) # label(fact_ATP_Olambda__134) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 370 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_of,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_oe,Uu))))) # label(fact_ATP_Olambda__135) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 371 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oc,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_ob,Uu))))) # label(fact_ATP_Olambda__136) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 372 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lc,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_lb,Uu))))) # label(fact_ATP_Olambda__137) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 373 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kz,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_ky,Uu))))) # label(fact_ATP_Olambda__138) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 374 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oo,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_on,Uu))))) # label(fact_ATP_Olambda__139) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 375 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_om,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ol,Uu))))) # label(fact_ATP_Olambda__140) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 376 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nz,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ny,Uu))))) # label(fact_ATP_Olambda__141) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 377 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nx,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_nw,Uu))))) # label(fact_ATP_Olambda__142) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 378 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nv,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_nu,Uu))))) # label(fact_ATP_Olambda__143) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 379 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nt,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ns,Uu))))) # label(fact_ATP_Olambda__144) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 380 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nr,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_nq,Uu))))) # label(fact_ATP_Olambda__145) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 381 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_np,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_no,Uu))))) # label(fact_ATP_Olambda__146) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 382 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nl,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_nk,Uu))))) # label(fact_ATP_Olambda__147) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 383 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nh,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ng,Uu))))) # label(fact_ATP_Olambda__148) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 384 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nf,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ne,Uu))))) # label(fact_ATP_Olambda__149) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 385 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nd,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_nc,Uu))))) # label(fact_ATP_Olambda__150) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 386 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nb,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_na,Uu))))) # label(fact_ATP_Olambda__151) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 387 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mz,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_my,Uu))))) # label(fact_ATP_Olambda__152) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 388 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mx,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_mw,Uu))))) # label(fact_ATP_Olambda__153) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 389 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mv,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_mu,Uu))))) # label(fact_ATP_Olambda__154) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 390 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mt,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ms,Uu))))) # label(fact_ATP_Olambda__155) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 391 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mr,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_mq,Uu))))) # label(fact_ATP_Olambda__156) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 392 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mn,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_mm,Uu))))) # label(fact_ATP_Olambda__157) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 393 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mj,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_mi,Uu))))) # label(fact_ATP_Olambda__158) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 394 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mh,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_mg,Uu))))) # label(fact_ATP_Olambda__159) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 395 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mf,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_me,Uu))))) # label(fact_ATP_Olambda__160) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 396 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mc,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_mb,Uu))))) # label(fact_ATP_Olambda__161) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 397 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lz,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ly,Uu))))) # label(fact_ATP_Olambda__162) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 398 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lw,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_lv,Uu))))) # label(fact_ATP_Olambda__163) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 399 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lt,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ls,Uu))))) # label(fact_ATP_Olambda__164) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 400 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lq,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_lp,Uu))))) # label(fact_ATP_Olambda__165) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 401 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lj,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_li,Uu))))) # label(fact_ATP_Olambda__166) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 402 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lg,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_lf,Uu))))) # label(fact_ATP_Olambda__167) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 403 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kv,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ku,Uu))))) # label(fact_ATP_Olambda__168) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 404 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kt,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ks,Uu))))) # label(fact_ATP_Olambda__169) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 405 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kq,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_kp,Uu))))) # label(fact_ATP_Olambda__170) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 406 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ko,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_kn,Uu))))) # label(fact_ATP_Olambda__171) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 407 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_km,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_kl,Uu))))) # label(fact_ATP_Olambda__172) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 408 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kj,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ki,Uu))))) # label(fact_ATP_Olambda__173) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 409 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kg,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_kf,Uu))))) # label(fact_ATP_Olambda__174) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 410 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kd,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_kc,Uu))))) # label(fact_ATP_Olambda__175) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 411 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ka,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jz,Uu))))) # label(fact_ATP_Olambda__176) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 412 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jx,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jw,Uu))))) # label(fact_ATP_Olambda__177) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 413 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ju,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jt,Uu))))) # label(fact_ATP_Olambda__178) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 414 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jq,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jp,Uu))))) # label(fact_ATP_Olambda__179) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 415 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jm,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jl,Uu))))) # label(fact_ATP_Olambda__180) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 416 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ji,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jh,Uu))))) # label(fact_ATP_Olambda__181) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 417 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_je,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jd,Uu))))) # label(fact_ATP_Olambda__182) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 418 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jb,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ja,Uu))))) # label(fact_ATP_Olambda__183) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 419 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_iy,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ix,Uu))))) # label(fact_ATP_Olambda__184) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 420 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_iv,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_iu,Uu))))) # label(fact_ATP_Olambda__185) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 421 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_is,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ir,Uu))))) # label(fact_ATP_Olambda__186) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 422 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ip,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_io,Uu))))) # label(fact_ATP_Olambda__187) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 423 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_im,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_il,Uu))))) # label(fact_ATP_Olambda__188) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 424 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ii,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ih,Uu))))) # label(fact_ATP_Olambda__189) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 425 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ie,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_id,Uu))))) # label(fact_ATP_Olambda__190) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 426 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ia,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_hz,Uu))))) # label(fact_ATP_Olambda__191) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 427 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hw,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_hv,Uu))))) # label(fact_ATP_Olambda__192) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 428 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hs,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_hr,Uu))))) # label(fact_ATP_Olambda__193) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 429 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ho,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_hn,Uu))))) # label(fact_ATP_Olambda__194) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 430 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hk,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_hj,Uu))))) # label(fact_ATP_Olambda__195) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 431 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hg,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_hf,Uu))))) # label(fact_ATP_Olambda__196) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 432 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hc,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_hb,Uu))))) # label(fact_ATP_Olambda__197) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 433 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gz,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_gy,Uu))))) # label(fact_ATP_Olambda__198) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 434 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gx,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_gw,Uu))))) # label(fact_ATP_Olambda__199) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 435 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gv,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_gu,Uu))))) # label(fact_ATP_Olambda__200) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 436 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gs,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_gr,Uu))))) # label(fact_ATP_Olambda__201) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 437 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_go,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_gn,Uu))))) # label(fact_ATP_Olambda__202) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 438 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gm,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_gl,Uu))))) # label(fact_ATP_Olambda__203) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 439 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gj,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_gi,Uu))))) # label(fact_ATP_Olambda__204) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 440 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gg,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_gf,Uu))))) # label(fact_ATP_Olambda__205) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 441 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gd,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_gc,Uu))))) # label(fact_ATP_Olambda__206) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 442 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ga,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_fz,Uu))))) # label(fact_ATP_Olambda__207) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 443 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fx,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_fw,Uu))))) # label(fact_ATP_Olambda__208) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 444 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fu,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ft,Uu))))) # label(fact_ATP_Olambda__209) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 445 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fr,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_fq,Uu))))) # label(fact_ATP_Olambda__210) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 446 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fo,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_fn,Uu))))) # label(fact_ATP_Olambda__211) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 447 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fk,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_fj,Uu))))) # label(fact_ATP_Olambda__212) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 448 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fg,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ff,Uu))))) # label(fact_ATP_Olambda__213) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 449 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fc,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_fb,Uu))))) # label(fact_ATP_Olambda__214) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 450 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ey,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ex,Uu))))) # label(fact_ATP_Olambda__215) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 451 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ev,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_eu,Uu))))) # label(fact_ATP_Olambda__216) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 452 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_es,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_er,Uu))))) # label(fact_ATP_Olambda__217) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 453 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ep,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_eo,Uu))))) # label(fact_ATP_Olambda__218) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 454 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_em,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_el,Uu))))) # label(fact_ATP_Olambda__219) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 455 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ej,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ei,Uu))))) # label(fact_ATP_Olambda__220) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 456 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_eg,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ef,Uu))))) # label(fact_ATP_Olambda__221) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 457 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ec,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_eb,Uu))))) # label(fact_ATP_Olambda__222) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 458 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dy,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_dx,Uu))))) # label(fact_ATP_Olambda__223) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 459 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_du,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_dt,Uu))))) # label(fact_ATP_Olambda__224) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 460 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dq,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_dp,Uu))))) # label(fact_ATP_Olambda__225) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 461 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dm,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_dl,Uu))))) # label(fact_ATP_Olambda__226) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 462 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_di,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_dh,Uu))))) # label(fact_ATP_Olambda__227) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 463 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_de,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_dd,Uu))))) # label(fact_ATP_Olambda__228) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 464 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_da,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_cz,Uu))))) # label(fact_ATP_Olambda__229) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 465 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cw,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_cv,Uu))))) # label(fact_ATP_Olambda__230) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 466 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cr,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cq,Uu))))) # label(fact_ATP_Olambda__231) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 467 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cp,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_co,Uu))))) # label(fact_ATP_Olambda__232) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 468 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cm,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cl,Uu))))) # label(fact_ATP_Olambda__233) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 469 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ck,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cj,Uu))))) # label(fact_ATP_Olambda__234) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 470 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ci,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ch,Uu))))) # label(fact_ATP_Olambda__235) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 471 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cg,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,Uu))))) # label(fact_ATP_Olambda__236) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 472 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ce,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cd,Uu))))) # label(fact_ATP_Olambda__237) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 473 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cc,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,Uu))))) # label(fact_ATP_Olambda__238) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 474 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ab,Uu)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,Uu))))) # label(fact_ATP_Olambda__239) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 475 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ln,Uu)) <-> pp(aa_fun171081125l_bool(scratc1592867136l_some(scratc1118874286d_frac),aa_TPT43085870d_bool(aTP_Lamm_lm,Uu))))) # label(fact_ATP_Olambda__240) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 476 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ll,Uu)) <-> pp(aa_fun171081125l_bool(scratc1592867136l_some(scratc1118874286d_frac),aa_TPT43085870d_bool(aTP_Lamm_lk,Uu))))) # label(fact_ATP_Olambda__241) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 477 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tl,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,scratc764021091nd_n_1),aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uu))))) # label(fact_ATP_Olambda__242) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 478 (all Uu aa_TPT494704832TP_ind(aTP_Lamm_bv,Uu) = aa_TPT494704832TP_ind(scratc1789570511d_repl,aa_TPTP_ind_TPTP_ind(scratc882473358tminus(Uu),aa_TPTP_ind_TPTP_ind(scratc1506562195d_Sing,scratc1754373813ptyset)))) # label(fact_ATP_Olambda__243) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 479 (all Uu (gg_TPTP_ind(Uu) -> (pp(aa_TPTP_ind_bool(aTP_Lamm_at,Uu)) <-> Uu != scratc1754373813ptyset))) # label(fact_ATP_Olambda__244) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 480 (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(scratc184186224d_Inj1,X2) = Uu))))) # label(fact_ATP_Olambda__245) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 481 (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(scratc184186223d_Inj0,X2) = Uu))))) # label(fact_ATP_Olambda__246) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 482 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl,Uu),Uua)) <-> scratc2037356050_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc704297836_rt_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,Uu),Uua)))) # label(fact_ATP_Olambda__247) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 483 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zg,Uu),Uua)) <-> scratc2037356050_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uu),Uua)))) # label(fact_ATP_Olambda__248) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 484 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ny,Uu),Uua)) <-> scratc2037356050_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uua)))) # label(fact_ATP_Olambda__249) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 485 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cj,Uu),Uua)) <-> pp(scratc1995939408nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc704297836_rt_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,Uu),Uua))))) # label(fact_ATP_Olambda__250) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 486 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ze,Uu),Uua)) <-> pp(scratc1995939408nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__251) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 487 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nw,Uu),Uua)) <-> pp(scratc1995939408nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__252) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 488 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ch,Uu),Uua)) <-> pp(scratc1912340373nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc704297836_rt_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,Uu),Uua))))) # label(fact_ATP_Olambda__253) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 489 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zc,Uu),Uua)) <-> pp(scratc1912340373nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__254) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 490 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nu,Uu),Uua)) <-> pp(scratc1912340373nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__255) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.89 491 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zo,Uu),Uua)) <-> scratc2037356050_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc189208130n_some,aa_TPT43085870d_bool(aTP_Lamm_zm(Uu),Uua)),aa_fun171081125l_bool(scratc189208130n_some,aa_TPT43085870d_bool(aTP_Lamm_zn(Uu),Uua))))) # label(fact_ATP_Olambda__256) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 492 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zk,Uu),Uua)) <-> pp(scratc1995939408nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc189208130n_some,aa_TPT43085870d_bool(scratc888787112ffprop(Uu),Uua)),aa_fun171081125l_bool(scratc189208130n_some,aa_TPT43085870d_bool(scratc888787112ffprop(Uua),Uu)))))) # label(fact_ATP_Olambda__257) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 493 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zi,Uu),Uua)) <-> pp(scratc1912340373nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc189208130n_some,aa_TPT43085870d_bool(scratc888787112ffprop(Uu),Uua)),aa_fun171081125l_bool(scratc189208130n_some,aa_TPT43085870d_bool(scratc888787112ffprop(Uua),Uu)))))) # label(fact_ATP_Olambda__258) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 494 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ace,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1531184783d_e_is(Uu),Uua),Uua)))) # label(fact_ATP_Olambda__259) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 495 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_og,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1049648346d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1987874758nd_num,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1904210125nd_den,Uu)),Uua))),Uu)))) # label(fact_ATP_Olambda__260) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 496 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sh,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uua)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uu)),Uua))))) # label(fact_ATP_Olambda__261) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 497 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sk,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uua)),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uua)))))) # label(fact_ATP_Olambda__262) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 498 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aar,Uu),Uua)) <-> pp(scratc1646968595_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,Uua),scratc764021091nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uu)),aa_fun171081125l_bool(scratc1071942419_n_all,aa_TPT43085870d_bool(aTP_Lamm_aq,Uua)))))) # label(fact_ATP_Olambda__263) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 499 (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(scratc193937611_29_ii,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uua),scratc764021091nd_n_1)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,Uua),Uu))))) # label(fact_ATP_Olambda__264) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 500 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_st,Uu),Uua)) <-> pp(scratc1646968595_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,Uua),scratc764021091nd_n_1)),Uu),aa_fun171081125l_bool(scratc1071942419_n_all,aa_TPT43085870d_bool(aTP_Lamm_ao(Uu),Uua)))))) # label(fact_ATP_Olambda__265) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 501 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abb,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__266) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 502 (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(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uua)),Uua))))) # label(fact_ATP_Olambda__267) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 503 (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(scratc193937611_29_ii,aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uua)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,Uua),Uu))))) # label(fact_ATP_Olambda__268) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 504 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aal,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uua)))))) # label(fact_ATP_Olambda__269) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 505 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tb,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uua),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),scratc764021091nd_n_1))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,Uua),Uu))))) # label(fact_ATP_Olambda__270) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 506 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sq,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uua)),Uu))))) # label(fact_ATP_Olambda__271) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 507 (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(scratc1945780041nd_iii,Uua),aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uu))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,Uua),Uu))))) # label(fact_ATP_Olambda__272) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 508 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aao,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uua)))))) # label(fact_ATP_Olambda__273) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 509 (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(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,Uu),aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,Uu),Uua)))))) # label(fact_ATP_Olambda__274) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 510 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gy,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uua),aa_TPTP_ind_TPTP_ind(scratc282846407_367_w(Uu),Uua))),Uu))))) # label(fact_ATP_Olambda__275) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 511 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tf,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uua),scratc764021091nd_n_1)),Uu))))) # label(fact_ATP_Olambda__276) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 512 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aaw,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1987087576nd_nis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1987087576nd_nis,aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uua)))))) # label(fact_ATP_Olambda__277) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 513 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_as,Uu),Uua)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1946042444nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845139d_n_in,Uua),Uu)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845139d_n_in,aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uua)),Uu))))) # label(fact_ATP_Olambda__278) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 514 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_td,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uua)),Uu))))) # label(fact_ATP_Olambda__279) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 515 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gw,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uua),aa_TPTP_ind_TPTP_ind(scratc282846407_367_w(Uu),Uua))))))) # label(fact_ATP_Olambda__280) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 516 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tj,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,Uua),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),scratc764021091nd_n_1)))))) # label(fact_ATP_Olambda__281) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 517 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_th,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,Uua),aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uu)))))) # label(fact_ATP_Olambda__282) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 518 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sf,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uua),Uu))))) # label(fact_ATP_Olambda__283) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 519 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aaa,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uua),Uu))))) # label(fact_ATP_Olambda__284) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 520 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gn,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uua),Uu))))) # label(fact_ATP_Olambda__285) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 521 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ku,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uua),Uu))))) # label(fact_ATP_Olambda__286) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 522 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,Uua),Uu))))) # label(fact_ATP_Olambda__287) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 523 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cd,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,Uua),Uu))))) # label(fact_ATP_Olambda__288) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 524 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_za,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uua),Uu))))) # label(fact_ATP_Olambda__289) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 525 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yw,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,Uua),Uu))))) # label(fact_ATP_Olambda__290) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 526 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yu,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,Uua),Uu))))) # label(fact_ATP_Olambda__291) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 527 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mg,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450469093lesseq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963996_moreq,Uua),Uu))))) # label(fact_ATP_Olambda__292) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 528 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cq,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc704297836_rt_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc704297836_rt_is,Uua),Uu))))) # label(fact_ATP_Olambda__293) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 529 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mi,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963996_moreq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450469093lesseq,Uua),Uu))))) # label(fact_ATP_Olambda__294) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 530 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ns,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uua),Uu))))) # label(fact_ATP_Olambda__295) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 531 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nq,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uua),Uu))))) # label(fact_ATP_Olambda__296) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 532 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_on,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uua),Uu))))) # label(fact_ATP_Olambda__297) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 533 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yy,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uua),Uu))))) # label(fact_ATP_Olambda__298) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 534 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hb,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uua)) -> pp(aa_fun171081125l_bool(scratc1592867136l_some(scratc1118874286d_frac),aa_TPT43085870d_bool(aTP_Lamm_ha(Uu),Uua)))))) # label(fact_ATP_Olambda__299) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 535 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_li,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uua)) -> pp(aa_fun171081125l_bool(scratc1592867136l_some(scratc1118874286d_frac),aa_TPT43085870d_bool(aTP_Lamm_lh(Uu),Uua)))))) # label(fact_ATP_Olambda__300) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 536 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1950746017moreis,Uu),Uua)) -> pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,Uu),Uua)))))) # label(fact_ATP_Olambda__301) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 537 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1816762405lessis,Uu),Uua)) -> pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,Uu),Uua)))))) # label(fact_ATP_Olambda__302) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 538 (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(scratc193937611_29_ii,Uu),Uua)) -> pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,Uu),Uua)))))) # label(fact_ATP_Olambda__303) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 539 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ys,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,Uu),Uua)) -> pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uu),Uua)))))) # label(fact_ATP_Olambda__304) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 540 (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(scratc1450731491lessis,Uu),Uua)) -> pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uu),Uua)))))) # label(fact_ATP_Olambda__305) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 541 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ne,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450469093lesseq,Uu),Uua)) -> pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uua)))))) # label(fact_ATP_Olambda__306) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 542 (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(scratc1818963996_moreq,Uu),Uua)) -> pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uua)))))) # label(fact_ATP_Olambda__307) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 543 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_my,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uua)) -> pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450469093lesseq,Uu),Uua)))))) # label(fact_ATP_Olambda__308) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 544 (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(scratc1472642189_lessf,Uu),Uua)) -> pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963996_moreq,Uu),Uua)))))) # label(fact_ATP_Olambda__309) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 545 (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(scratc1945780041nd_iii,Uu),Uua)) -> pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,Uu),Uua)))))) # label(fact_ATP_Olambda__310) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 546 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xk,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uua)),Uu)))) # label(fact_ATP_Olambda__311) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 547 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kp,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uu),Uua)),Uu)))) # label(fact_ATP_Olambda__312) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 548 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_am(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,Uu),Uua)),Uua)) # label(fact_ATP_Olambda__313) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 549 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_bs(Uu),Uua) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1789570511d_repl,aa_TPTP_ind_TPTP_ind(Uu,Uua)),aa_TPT1424761345TP_ind(scratc194890906d_pair,Uua))) # label(fact_ATP_Olambda__314) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 550 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aa_TPT43085870d_bool(aTP_Lamm_abf,Uu)),aa_TPT43085870d_bool(aTP_Lamm_abg(Uu),Uua))))) # label(fact_ATP_Olambda__315) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 551 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aaf,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uua))),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uu)),Uua))))) # label(fact_ATP_Olambda__316) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 552 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aai,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uua))),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uua)))))) # label(fact_ATP_Olambda__317) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 553 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yo,Uu),Uua)) <-> (pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,Uu),Uua))))) # label(fact_ATP_Olambda__318) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 554 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yg,Uu),Uua)) <-> (pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__319) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 555 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ye,Uu),Uua)) <-> (pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__320) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 556 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ms,Uu),Uua)) <-> (pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450469093lesseq,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uua))))) # label(fact_ATP_Olambda__321) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 557 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mu,Uu),Uua)) <-> (pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963996_moreq,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__322) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 558 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nc,Uu),Uua)) <-> (pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450469093lesseq,Uu),Uua))))) # label(fact_ATP_Olambda__323) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 559 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_na,Uu),Uua)) <-> (pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963996_moreq,Uu),Uua))))) # label(fact_ATP_Olambda__324) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 560 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ym,Uu),Uua)) <-> (pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,Uu),Uua))))) # label(fact_ATP_Olambda__325) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 561 (all Uu all Uua aa_fun277296641TP_ind(aa_TPT494704832TP_ind(aTP_Lamm_bw,Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc966187816nunion(aa_TPTP_ind_TPTP_ind(scratc1506562195d_Sing,scratc1754373813ptyset)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1789570511d_repl,Uu),Uua))) # label(fact_ATP_Olambda__326) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 562 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oi,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1049648346d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1987874758nd_num,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1904210125nd_den,Uu)),Uua)))))) # label(fact_ATP_Olambda__327) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 563 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kn,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uu),Uua))))) # label(fact_ATP_Olambda__328) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 564 (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(scratc1987087576nd_nis,Uua),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uua))))) # label(fact_ATP_Olambda__329) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 565 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xi,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uu),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uua))))) # label(fact_ATP_Olambda__330) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 566 (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(scratc1049845144d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uua))))) # label(fact_ATP_Olambda__331) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 567 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abf,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,Uua),aa_TPTP_ind_TPTP_ind(scratc983997093_power,Uu))))) # label(fact_ATP_Olambda__332) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 568 (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(scratc1450731491lessis,Uua),Uu)))) # label(fact_ATP_Olambda__333) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 569 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lm,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uua),Uu)))) # label(fact_ATP_Olambda__334) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 570 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lk,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uua),Uu)))) # label(fact_ATP_Olambda__335) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 571 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aaz,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845139d_n_in,Uua),Uu)))) # label(fact_ATP_Olambda__336) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 572 (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(scratc1984988403nd_nIn,Uua),Uu)))) # label(fact_ATP_Olambda__337) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 573 (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(scratc1596459301bnd_in,Uua),Uu)))) # label(fact_ATP_Olambda__338) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 574 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aad,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_aac(Uu),Uua))))) # label(fact_ATP_Olambda__339) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 575 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_zv(Uu),Uua))))) # label(fact_ATP_Olambda__340) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 576 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_zs(Uu),Uua))))) # label(fact_ATP_Olambda__341) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 577 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_yb(Uu),Uua))))) # label(fact_ATP_Olambda__342) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 578 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_xy(Uu),Uua))))) # label(fact_ATP_Olambda__343) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 579 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_xv(Uu),Uua))))) # label(fact_ATP_Olambda__344) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 580 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_xs(Uu),Uua))))) # label(fact_ATP_Olambda__345) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 581 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_xp(Uu),Uua))))) # label(fact_ATP_Olambda__346) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 582 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_xm(Uu),Uua))))) # label(fact_ATP_Olambda__347) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 583 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xe,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_xd(Uu),Uua))))) # label(fact_ATP_Olambda__348) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 584 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_xa(Uu),Uua))))) # label(fact_ATP_Olambda__349) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 585 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_wx(Uu),Uua))))) # label(fact_ATP_Olambda__350) # label(axiom) # label(non_clause). [assumption].
% 1.59/1.90 586 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_wu(Uu),Uua))))) # label(fact_ATP_Olambda__351) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 587 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ws,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_wr(Uu),Uua))))) # label(fact_ATP_Olambda__352) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 588 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_wo(Uu),Uua))))) # label(fact_ATP_Olambda__353) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 589 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_wl(Uu),Uua))))) # label(fact_ATP_Olambda__354) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 590 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wi,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_wh(Uu),Uua))))) # label(fact_ATP_Olambda__355) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 591 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_we,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_wd(Uu),Uua))))) # label(fact_ATP_Olambda__356) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 592 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wa,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_vz(Uu),Uua))))) # label(fact_ATP_Olambda__357) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 593 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_vv(Uu),Uua))))) # label(fact_ATP_Olambda__358) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 594 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_vs(Uu),Uua))))) # label(fact_ATP_Olambda__359) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 595 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_vp(Uu),Uua))))) # label(fact_ATP_Olambda__360) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 596 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_vm(Uu),Uua))))) # label(fact_ATP_Olambda__361) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 597 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_vj(Uu),Uua))))) # label(fact_ATP_Olambda__362) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 598 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_vg(Uu),Uua))))) # label(fact_ATP_Olambda__363) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 599 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ve,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_vd(Uu),Uua))))) # label(fact_ATP_Olambda__364) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 600 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_va(Uu),Uua))))) # label(fact_ATP_Olambda__365) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 601 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_ux(Uu),Uua))))) # label(fact_ATP_Olambda__366) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 602 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_uu(Uu),Uua))))) # label(fact_ATP_Olambda__367) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 603 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_us,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_ur(Uu),Uua))))) # label(fact_ATP_Olambda__368) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 604 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uo,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_un(Uu),Uua))))) # label(fact_ATP_Olambda__369) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 605 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_uj(Uu),Uua))))) # label(fact_ATP_Olambda__370) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 606 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ug,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_uf(Uu),Uua))))) # label(fact_ATP_Olambda__371) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 607 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_ub(Uu),Uua))))) # label(fact_ATP_Olambda__372) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 608 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ty,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_tx(Uu),Uua))))) # label(fact_ATP_Olambda__373) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 609 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_tt(Uu),Uua))))) # label(fact_ATP_Olambda__374) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 610 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_tp(Uu),Uua))))) # label(fact_ATP_Olambda__375) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 611 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_sc(Uu),Uua))))) # label(fact_ATP_Olambda__376) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 612 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sa,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_rz(Uu),Uua))))) # label(fact_ATP_Olambda__377) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 613 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_rw(Uu),Uua))))) # label(fact_ATP_Olambda__378) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 614 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ru,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_rt(Uu),Uua))))) # label(fact_ATP_Olambda__379) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 615 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_rq(Uu),Uua))))) # label(fact_ATP_Olambda__380) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 616 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ro,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_rn(Uu),Uua))))) # label(fact_ATP_Olambda__381) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 617 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_rk(Uu),Uua))))) # label(fact_ATP_Olambda__382) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 618 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ri,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_rh(Uu),Uua))))) # label(fact_ATP_Olambda__383) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 619 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_re(Uu),Uua))))) # label(fact_ATP_Olambda__384) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 620 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_ra(Uu),Uua))))) # label(fact_ATP_Olambda__385) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 621 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_qw(Uu),Uua))))) # label(fact_ATP_Olambda__386) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 622 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_qs(Uu),Uua))))) # label(fact_ATP_Olambda__387) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 623 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_qo(Uu),Uua))))) # label(fact_ATP_Olambda__388) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 624 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_ql(Uu),Uua))))) # label(fact_ATP_Olambda__389) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 625 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_qi(Uu),Uua))))) # label(fact_ATP_Olambda__390) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 626 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_qf(Uu),Uua))))) # label(fact_ATP_Olambda__391) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 627 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_qc(Uu),Uua))))) # label(fact_ATP_Olambda__392) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 628 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qa,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_pz(Uu),Uua))))) # label(fact_ATP_Olambda__393) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 629 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_px,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_pw(Uu),Uua))))) # label(fact_ATP_Olambda__394) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 630 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_pt(Uu),Uua))))) # label(fact_ATP_Olambda__395) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 631 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_pp(Uu),Uua))))) # label(fact_ATP_Olambda__396) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 632 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_pl(Uu),Uua))))) # label(fact_ATP_Olambda__397) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 633 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pi,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_ph(Uu),Uua))))) # label(fact_ATP_Olambda__398) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 634 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pe,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_pd(Uu),Uua))))) # label(fact_ATP_Olambda__399) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 635 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pa,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_oz(Uu),Uua))))) # label(fact_ATP_Olambda__400) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 636 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ow,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_ov(Uu),Uua))))) # label(fact_ATP_Olambda__401) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 637 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_os,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_or(Uu),Uua))))) # label(fact_ATP_Olambda__402) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 638 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oe,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_od(Uu),Uua))))) # label(fact_ATP_Olambda__403) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 639 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ob,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_oa(Uu),Uua))))) # label(fact_ATP_Olambda__404) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 640 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_la(Uu),Uua))))) # label(fact_ATP_Olambda__405) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 641 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ky,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aTP_Lamm_kx(Uu),Uua))))) # label(fact_ATP_Olambda__406) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 642 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ol,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ok(Uu),Uua))))) # label(fact_ATP_Olambda__407) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 643 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_no,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_nn(Uu),Uua))))) # label(fact_ATP_Olambda__408) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 644 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_nj(Uu),Uua))))) # label(fact_ATP_Olambda__409) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 645 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_mp(Uu),Uua))))) # label(fact_ATP_Olambda__410) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 646 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ml(Uu),Uua))))) # label(fact_ATP_Olambda__411) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 647 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_me,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_md(Uu),Uua))))) # label(fact_ATP_Olambda__412) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 648 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ma(Uu),Uua))))) # label(fact_ATP_Olambda__413) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 649 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ly,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_lx(Uu),Uua))))) # label(fact_ATP_Olambda__414) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 650 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_lu(Uu),Uua))))) # label(fact_ATP_Olambda__415) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 651 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ls,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_lr(Uu),Uua))))) # label(fact_ATP_Olambda__416) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 652 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_lo(Uu),Uua))))) # label(fact_ATP_Olambda__417) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 653 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_le(Uu),Uua))))) # label(fact_ATP_Olambda__418) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 654 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ks,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_kr(Uu),Uua))))) # label(fact_ATP_Olambda__419) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 655 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_kk(Uu),Uua))))) # label(fact_ATP_Olambda__420) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 656 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ki,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_kh(Uu),Uua))))) # label(fact_ATP_Olambda__421) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 657 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ke(Uu),Uua))))) # label(fact_ATP_Olambda__422) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 658 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_kb(Uu),Uua))))) # label(fact_ATP_Olambda__423) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 659 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jy(Uu),Uua))))) # label(fact_ATP_Olambda__424) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 660 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jv(Uu),Uua))))) # label(fact_ATP_Olambda__425) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 661 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_js(Uu),Uua))))) # label(fact_ATP_Olambda__426) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 662 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jo(Uu),Uua))))) # label(fact_ATP_Olambda__427) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 663 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jk(Uu),Uua))))) # label(fact_ATP_Olambda__428) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 664 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jg(Uu),Uua))))) # label(fact_ATP_Olambda__429) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 665 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jc(Uu),Uua))))) # label(fact_ATP_Olambda__430) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 666 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ja,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_iz(Uu),Uua))))) # label(fact_ATP_Olambda__431) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 667 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ix,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_iw(Uu),Uua))))) # label(fact_ATP_Olambda__432) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 668 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_it(Uu),Uua))))) # label(fact_ATP_Olambda__433) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 669 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ir,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_iq(Uu),Uua))))) # label(fact_ATP_Olambda__434) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 670 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_io,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_in(Uu),Uua))))) # label(fact_ATP_Olambda__435) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 671 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_il,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ik(Uu),Uua))))) # label(fact_ATP_Olambda__436) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 672 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ih,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ig(Uu),Uua))))) # label(fact_ATP_Olambda__437) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 673 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_id,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ic(Uu),Uua))))) # label(fact_ATP_Olambda__438) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 674 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_hy(Uu),Uua))))) # label(fact_ATP_Olambda__439) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 675 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_hu(Uu),Uua))))) # label(fact_ATP_Olambda__440) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 676 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_hq(Uu),Uua))))) # label(fact_ATP_Olambda__441) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 677 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_hm(Uu),Uua))))) # label(fact_ATP_Olambda__442) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 678 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_hi(Uu),Uua))))) # label(fact_ATP_Olambda__443) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 679 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_he(Uu),Uua))))) # label(fact_ATP_Olambda__444) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 680 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_gt(Uu),Uua))))) # label(fact_ATP_Olambda__445) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 681 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_gq(Uu),Uua))))) # label(fact_ATP_Olambda__446) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 682 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_gk(Uu),Uua))))) # label(fact_ATP_Olambda__447) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 683 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gi,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_gh(Uu),Uua))))) # label(fact_ATP_Olambda__448) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 684 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ge(Uu),Uua))))) # label(fact_ATP_Olambda__449) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 685 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_gb(Uu),Uua))))) # label(fact_ATP_Olambda__450) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 686 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_fy(Uu),Uua))))) # label(fact_ATP_Olambda__451) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 687 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_fv(Uu),Uua))))) # label(fact_ATP_Olambda__452) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 688 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ft,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_fs(Uu),Uua))))) # label(fact_ATP_Olambda__453) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 689 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_fp(Uu),Uua))))) # label(fact_ATP_Olambda__454) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 690 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_fm(Uu),Uua))))) # label(fact_ATP_Olambda__455) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 691 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_fi(Uu),Uua))))) # label(fact_ATP_Olambda__456) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 692 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ff,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_fe(Uu),Uua))))) # label(fact_ATP_Olambda__457) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 693 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_fa(Uu),Uua))))) # label(fact_ATP_Olambda__458) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 694 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ex,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ew(Uu),Uua))))) # label(fact_ATP_Olambda__459) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 695 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_et(Uu),Uua))))) # label(fact_ATP_Olambda__460) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 696 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_er,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_eq(Uu),Uua))))) # label(fact_ATP_Olambda__461) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 697 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eo,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_en(Uu),Uua))))) # label(fact_ATP_Olambda__462) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 698 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_el,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ek(Uu),Uua))))) # label(fact_ATP_Olambda__463) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 699 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ei,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_eh(Uu),Uua))))) # label(fact_ATP_Olambda__464) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 700 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ef,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ee(Uu),Uua))))) # label(fact_ATP_Olambda__465) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 701 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ea(Uu),Uua))))) # label(fact_ATP_Olambda__466) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 702 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_dw(Uu),Uua))))) # label(fact_ATP_Olambda__467) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 703 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ds(Uu),Uua))))) # label(fact_ATP_Olambda__468) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 704 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_do(Uu),Uua))))) # label(fact_ATP_Olambda__469) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 705 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_dk(Uu),Uua))))) # label(fact_ATP_Olambda__470) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 706 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_dg(Uu),Uua))))) # label(fact_ATP_Olambda__471) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 707 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_dc(Uu),Uua))))) # label(fact_ATP_Olambda__472) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 708 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_cy(Uu),Uua))))) # label(fact_ATP_Olambda__473) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 709 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_co,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cn(Uu),Uua))))) # label(fact_ATP_Olambda__474) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 710 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1592867136l_some(scratc1118874286d_frac),aa_TPT43085870d_bool(aTP_Lamm_cu(Uu),Uua))))) # label(fact_ATP_Olambda__475) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 711 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zq,Uu),Uua)) <-> pp(scratc1591209530_amone(scratc1986562785nd_nat,aa_TPT43085870d_bool(aTP_Lamm_zm(Uu),Uua))))) # label(fact_ATP_Olambda__476) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 712 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_ap(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,Uu),Uua))) # label(fact_ATP_Olambda__477) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 713 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_bp(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1491258959_union,aa_TPTP_ind_TPTP_ind(Uu,Uua))) # label(fact_ATP_Olambda__478) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 714 (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(scratc194890906d_pair,Uu),X3)))))) # label(fact_ATP_Olambda__479) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 715 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abp(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1531184783d_e_is(aa_TPTP_ind_TPTP_ind(scratc1198755353etprod(Uu),Uua)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc454850814d_pair(Uu,Uua),aa_TPTP_ind_TPTP_ind(scratc2044311056_first(Uu,Uua),Uub)),aa_TPTP_ind_TPTP_ind(scratc122603476second(Uu,Uua),Uub))),Uub)))) # label(fact_ATP_Olambda__480) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 716 (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(scratc1596459293bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,scratc1754373813ptyset),Uub),Uu),Uua)) # label(fact_ATP_Olambda__481) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 717 (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(scratc1596459293bnd_if(aa_TPTP_ind_bool(Uua,Uub),Uub),scratc1913193224nd_eps(aa_fun1584354236d_bool(aTP_Lamm_bm(Uu),Uua)))) # label(fact_ATP_Olambda__482) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 718 (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(scratc347794979d_esti(Uu),Uub),Uua)))) # label(fact_ATP_Olambda__483) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 719 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_abi(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc347794979d_esti(Uu),Uub),aa_fun1431113780TP_ind(scratc1530717146_d_Sep(Uu),Uua))) -> pp(aa_TPTP_ind_bool(Uua,Uub))))) # label(fact_ATP_Olambda__484) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 720 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abg(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1280237422d_incl(Uu),Uua),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1280237422d_incl(Uu),Uub),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1531184783d_e_is(aa_TPTP_ind_TPTP_ind(scratc983997093_power,Uu)),Uua),Uub)))))) # label(fact_ATP_Olambda__485) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 721 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abq(Uu),Uua),Uub)) <-> scratc512029345_is_of(aa_TPTP_ind_TPTP_ind(scratc122603476second(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_au,Uua)))) # label(fact_ATP_Olambda__486) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 722 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abr(Uu),Uua),Uub)) <-> scratc512029345_is_of(aa_TPTP_ind_TPTP_ind(scratc2044311056_first(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_au,Uu)))) # label(fact_ATP_Olambda__487) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 723 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_abx(Uu),Uua),Uub)) <-> scratc512029345_is_of(aa_TPTP_ind_TPTP_ind(scratc1531184778d_e_in(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_au,Uu)))) # label(fact_ATP_Olambda__488) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 724 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_acb(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aa_TPT43085870d_bool(aTP_Lamm_aby(Uu),Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aca(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__489) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 725 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_la(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1049648346d_n_fr,Uu),Uub)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1049648346d_n_fr,Uua),Uub))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1049648346d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uua)),Uub))))) # label(fact_ATP_Olambda__490) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 726 (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(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1049648346d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uua),Uub))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1049648346d_n_fr,Uu),Uua))))) # label(fact_ATP_Olambda__491) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 727 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qc(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__492) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 728 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vj(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__493) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.90 729 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_va(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__494) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 730 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ew(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uua))))) # label(fact_ATP_Olambda__495) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 731 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_en(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uua))))) # label(fact_ATP_Olambda__496) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 732 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jc(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uua))))) # label(fact_ATP_Olambda__497) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 733 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_it(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uua))))) # label(fact_ATP_Olambda__498) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 734 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__499) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 735 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eh(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__500) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 736 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iw(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__501) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 737 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_in(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__502) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 738 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pz(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__503) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 739 (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(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uua),Uub))))) # label(fact_ATP_Olambda__504) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 740 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vg(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__505) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 741 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ux(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__506) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 742 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_et(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uua))))) # label(fact_ATP_Olambda__507) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 743 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ek(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uua))))) # label(fact_ATP_Olambda__508) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 744 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iz(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uua))))) # label(fact_ATP_Olambda__509) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 745 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uua))))) # label(fact_ATP_Olambda__510) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 746 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pw(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__511) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 747 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vd(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__512) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 748 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uu(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__513) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 749 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kx(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1049648346d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1049648346d_n_fr,Uu),Uub)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1049648346d_n_fr,Uua),Uub)))))) # label(fact_ATP_Olambda__514) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 750 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rz(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__515) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 751 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aac(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__516) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 752 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gk(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uu),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uua),Uub)))))) # label(fact_ATP_Olambda__517) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 753 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kr(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uu),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__518) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 754 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sc(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uua),Uub))),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uub)))))) # label(fact_ATP_Olambda__519) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 755 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gh(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uu),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uua),Uub))),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uu),Uub)))))) # label(fact_ATP_Olambda__520) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 756 (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(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(scratc1564832259rdsucc,Uub))),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,Uua),Uub)),Uu))))) # label(fact_ATP_Olambda__521) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 757 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gt(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uua),Uub)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uub),aa_TPTP_ind_TPTP_ind(scratc282846407_367_w(Uu),Uua))))))) # label(fact_ATP_Olambda__522) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 758 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_od(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1049648346d_n_fr,Uu),Uua)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1049648346d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__523) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 759 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rw(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__524) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 760 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rn(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__525) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 761 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xd(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__526) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 762 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wu(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__527) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 763 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xp(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uu),Uub)))))) # label(fact_ATP_Olambda__528) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 764 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qo(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__529) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 765 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ql(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__530) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 766 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vv(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__531) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 767 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vs(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__532) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 768 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xs(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uu),Uub)))))) # label(fact_ATP_Olambda__533) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 769 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qi(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__534) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 770 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qf(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__535) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 771 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vp(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__536) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 772 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vm(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__537) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 773 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xm(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,Uu),Uub)))))) # label(fact_ATP_Olambda__538) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 774 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xy(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__539) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 775 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lo(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450469093lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450469093lesseq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450469093lesseq,Uu),Uub)))))) # label(fact_ATP_Olambda__540) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 776 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ma(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450469093lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__541) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 777 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cn(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc704297836_rt_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc704297836_rt_is,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc704297836_rt_is,Uu),Uub)))))) # label(fact_ATP_Olambda__542) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 778 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lu(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963996_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uub)))))) # label(fact_ATP_Olambda__543) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 779 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ge(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uua),Uub)))))) # label(fact_ATP_Olambda__544) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 780 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fv(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uub),Uua)))))) # label(fact_ATP_Olambda__545) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 781 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kk(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__546) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 782 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kb(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uub),Uua)))))) # label(fact_ATP_Olambda__547) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 783 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lr(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963996_moreq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uub)))))) # label(fact_ATP_Olambda__548) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 784 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fy(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uua),Uub)))))) # label(fact_ATP_Olambda__549) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 785 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fp(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uub),Uua)))))) # label(fact_ATP_Olambda__550) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 786 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ke(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__551) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 787 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jv(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uub),Uua)))))) # label(fact_ATP_Olambda__552) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 788 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lx(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450469093lesseq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__553) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 789 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_md(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__554) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 790 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rt(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__555) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 791 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rk(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__556) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 792 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xa(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__557) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 793 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wr(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__558) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 794 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gb(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uua),Uub)))))) # label(fact_ATP_Olambda__559) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 795 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fs(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uub),Uua)))))) # label(fact_ATP_Olambda__560) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 796 (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(scratc1049582746d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__561) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 797 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jy(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uub),Uua)))))) # label(fact_ATP_Olambda__562) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 798 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ok(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uub)))))) # label(fact_ATP_Olambda__563) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 799 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zv(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1987087576nd_nis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1987087576nd_nis,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uub)))))) # label(fact_ATP_Olambda__564) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 800 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__565) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 801 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rh(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__566) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 802 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wx(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__567) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 803 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wo(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__568) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 804 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xv(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__569) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 805 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yb(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__570) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 806 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lh(Uu),Uua),Uub)) <-> pp(scratc1646968595_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uub),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uub),Uua))))) # label(fact_ATP_Olambda__571) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 807 (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(scratc1596459301bnd_in,Uub),Uu)) & pp(aa_TPTP_ind_bool(Uua,Uub)))) # label(fact_ATP_Olambda__572) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 808 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cu(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uua),Uub)),Uu)))) # label(fact_ATP_Olambda__573) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 809 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ha(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uua),Uub)),Uu)))) # label(fact_ATP_Olambda__574) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 810 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_abu(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2001668987_image(aa_fun1431113780TP_ind(scratc1530717146_d_Sep(Uu),Uua),Uu),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1718512001_Sigma,aa_fun1431113780TP_ind(scratc1530717146_d_Sep(Uu),Uua)),scratc1531184778d_e_in(Uu,Uua))),Uub))))) # label(fact_ATP_Olambda__575) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 811 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_abj(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc347794979d_esti(Uu),Uub),aa_fun1431113780TP_ind(scratc1530717146_d_Sep(Uu),Uua)))))) # label(fact_ATP_Olambda__576) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 812 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_acd(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uu)),aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_acc(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__577) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 813 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_bo(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uu)),aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_bn(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__578) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 814 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abt(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_abs(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__579) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 815 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abn(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_abm(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__580) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 816 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abl(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_abk(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__581) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 817 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aby(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,Uub),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc389980509d_d_Pi,Uu),aTP_Lamm_aj(Uua)))))) # label(fact_ATP_Olambda__582) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 818 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zm(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uua),Uub))))) # label(fact_ATP_Olambda__583) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 819 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zn(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uua),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uub))))) # label(fact_ATP_Olambda__584) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 820 (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(scratc1596459301bnd_in,Uub),aa_TPTP_ind_TPTP_ind(scratc1198755353etprod(Uu),Uua))))) # label(fact_ATP_Olambda__585) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 821 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_abv(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,Uub),aa_fun1431113780TP_ind(scratc1530717146_d_Sep(Uu),Uua))))) # label(fact_ATP_Olambda__586) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 822 (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(scratc1595934511bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,Uu),Uub))) # label(fact_ATP_Olambda__587) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 823 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wl(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wk(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__588) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 824 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wh(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wg(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__589) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 825 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wd(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wc(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__590) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 826 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vz(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_vy(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__591) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 827 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ur(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_uq(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__592) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 828 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_un(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_um(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__593) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 829 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uj(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ui(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__594) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 830 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uf(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ue(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__595) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 831 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ub(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ua(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__596) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 832 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tx(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tw(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__597) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 833 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tt(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ts(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__598) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 834 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tp(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_to(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__599) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 835 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_re(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_rd(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__600) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 836 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ra(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qz(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__601) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 837 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qw(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qv(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__602) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 838 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qs(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qr(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__603) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 839 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pt(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ps(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__604) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 840 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pp(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_po(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__605) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 841 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pl(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pk(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__606) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 842 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ph(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pg(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__607) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 843 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pd(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pc(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__608) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 844 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oz(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_oy(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__609) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 845 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ov(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ou(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__610) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 846 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_or(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_kw),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_oq(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__611) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 847 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nn(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_nm(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__612) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 848 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nj(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ni(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__613) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 849 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mp(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mo(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__614) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 850 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ml(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mk(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__615) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 851 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_le(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ld(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__616) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 852 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_js(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jr(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__617) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 853 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jo(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jn(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__618) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 854 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jk(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jj(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__619) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 855 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jg(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jf(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__620) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 856 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ik(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ij(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__621) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 857 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ig(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_if(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__622) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 858 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ic(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ib(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__623) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 859 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hy(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hx(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__624) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 860 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hu(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ht(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__625) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 861 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hq(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hp(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__626) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 862 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hm(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hl(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__627) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 863 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hi(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hh(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__628) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 864 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_he(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hd(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__629) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 865 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gq(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gp(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__630) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 866 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fm(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fl(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__631) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 867 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fi(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fh(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__632) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 868 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fe(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fd(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__633) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 869 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fa(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ez(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__634) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 870 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ee(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ed(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__635) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 871 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ea(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dz(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__636) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 872 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dw(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dv(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__637) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 873 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ds(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dr(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__638) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 874 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_do(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dn(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__639) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 875 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dk(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dj(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__640) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 876 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dg(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_df(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__641) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 877 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dc(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_db(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__642) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 878 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cy(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cx(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__643) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 879 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_af(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1592867136l_some(scratc1118874286d_frac),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ae(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__644) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 880 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ad(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1592867136l_some(scratc1118874286d_frac),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ac(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__645) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 881 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_abw(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(Uua,aa_TPTP_ind_TPTP_ind(scratc1531184778d_e_in(Uu,Uua),Uub))))) # label(fact_ATP_Olambda__646) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 882 (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(scratc1596459301bnd_in,X3),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1596459301bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,Uub),X3)),aa_TPTP_ind_TPTP_ind(Uua,X3)))))))) # label(fact_ATP_Olambda__647) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 883 (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(scratc1946501626nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1531184783d_e_is(aa_TPTP_ind_TPTP_ind(scratc1250809960_d_1to,scratc764021092nd_n_2)),Uuc),scratc1046171601d_n_1t),Uu,Uua),Uub)) # label(fact_ATP_Olambda__648) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 884 (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(scratc1596459293bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2001668987_image(Uu,Uua),Uub),Uuc),aa_TPTP_ind_TPTP_ind(scratc504633130d_soft(Uu,Uua,Uub),Uuc)),scratc1754373813ptyset)) # label(fact_ATP_Olambda__649) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 885 (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)) <-> scratc1478056316d_and3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1946108033nd_inf,Uub),aa_TPTP_ind_TPTP_ind(scratc826934200_class,Uu)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1946108033nd_inf,Uuc),aa_TPTP_ind_TPTP_ind(scratc826934200_class,Uua)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uub),Uuc)))) # label(fact_ATP_Olambda__650) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 886 (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)) <-> scratc1478056316d_and3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1946108033nd_inf,Uub),aa_TPTP_ind_TPTP_ind(scratc826934200_class,Uu)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1946108033nd_inf,Uuc),aa_TPTP_ind_TPTP_ind(scratc826934200_class,Uua)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uub),Uuc)))) # label(fact_ATP_Olambda__651) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 887 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_abm(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1531184783d_e_is(Uu),aa_TPTP_ind_TPTP_ind(scratc2044311056_first(Uu,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc454850814d_pair(Uu,Uua),Uub),Uuc))),Uub)))) # label(fact_ATP_Olambda__652) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 888 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_abk(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1531184783d_e_is(Uua),aa_TPTP_ind_TPTP_ind(scratc122603476second(Uu,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc454850814d_pair(Uu,Uua),Uub),Uuc))),Uuc)))) # label(fact_ATP_Olambda__653) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 889 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_abz(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1531184783d_e_is(Uu),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,Uua),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,Uub),Uuc))))) # label(fact_ATP_Olambda__654) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 890 (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(scratc347794979d_esti(Uu),Uub),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,Uua),Uuc))))) # label(fact_ATP_Olambda__655) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 891 (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(scratc1531184783d_e_is(Uu),Uub),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,Uua),Uuc))))) # label(fact_ATP_Olambda__656) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 892 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_abs(Uu),Uua),Uub),Uuc)) <-> scratc512029345_is_of(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc454850814d_pair(Uu,Uua),Uub),Uuc),aa_TPT43085870d_bool(aTP_Lamm_abo(Uu),Uua)))) # label(fact_ATP_Olambda__657) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 893 (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(scratc917937802d_l_ec(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc347794979d_esti(Uu),Uuc),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc347794979d_esti(Uu),Uuc),Uub))))) # label(fact_ATP_Olambda__658) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 894 (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(scratc1946042444nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc347794979d_esti(Uu),Uuc),Uua)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc347794979d_esti(Uu),Uuc),Uub))))) # label(fact_ATP_Olambda__659) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 895 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cx(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uua),Uub)),Uu)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uua),Uuc)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uub),Uuc)))))) # label(fact_ATP_Olambda__660) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 896 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hd(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uua),Uub)),Uu)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uua),Uuc)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uub),Uuc)))))) # label(fact_ATP_Olambda__661) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 897 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aca(Uu),Uua),Uub),Uuc)) <-> (pp(aa_fun171081125l_bool(scratc334722680all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_abz(Uua),Uub),Uuc))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1531184783d_e_is(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc389980509d_d_Pi,Uu),aTP_Lamm_aj(Uua))),Uub),Uuc))))) # label(fact_ATP_Olambda__662) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 898 (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__663) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 899 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ps(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__664) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 900 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_uq(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__665) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 901 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pg(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__666) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 902 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ue(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__667) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 903 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pk(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__668) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 904 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ui(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__669) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 905 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ou(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__670) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 906 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ts(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584715103moreis,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__671) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 907 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_oq(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__672) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 908 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_to(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__673) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 909 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pc(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__674) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 910 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ua(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__675) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 911 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_db(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450469093lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450469093lesseq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450469093lesseq,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__676) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 912 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hh(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450469093lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450469093lesseq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450469093lesseq,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__677) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 913 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dn(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450469093lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__678) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 914 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ht(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450469093lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__679) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.91 915 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mk(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450469093lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450469093lesseq,Uub),Uuc))))))) # label(fact_ATP_Olambda__680) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 916 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_df(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963996_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963996_moreq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963996_moreq,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__681) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 917 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hl(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963996_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963996_moreq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963996_moreq,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__682) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 918 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dv(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963996_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__683) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 919 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ib(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963996_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__684) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 920 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mo(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963996_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963996_moreq,Uub),Uuc))))))) # label(fact_ATP_Olambda__685) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 921 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dr(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963996_moreq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__686) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 922 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hx(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963996_moreq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__687) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 923 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ed(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__688) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 924 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ij(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__689) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 925 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_nm(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uub),Uuc))))))) # label(fact_ATP_Olambda__690) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 926 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dj(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450469093lesseq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__691) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 927 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hp(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450469093lesseq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__692) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 928 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dz(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__693) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 929 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_if(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__694) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 930 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ni(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uub),Uuc))))))) # label(fact_ATP_Olambda__695) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 931 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_rd(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__696) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 932 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qz(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uuc),Uua))))))) # label(fact_ATP_Olambda__697) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 933 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wk(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__698) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 934 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wg(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc193937611_29_ii,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uuc),Uua))))))) # label(fact_ATP_Olambda__699) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 935 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qv(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__700) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 936 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qr(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uuc),Uua))))))) # label(fact_ATP_Olambda__701) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 937 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wc(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__702) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 938 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_vy(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uuc),Uua))))))) # label(fact_ATP_Olambda__703) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 939 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fl(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__704) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 940 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fh(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uuc),Uua))))))) # label(fact_ATP_Olambda__705) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 941 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jr(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__706) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 942 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jn(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1818963985_moref,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uuc),Uua))))))) # label(fact_ATP_Olambda__707) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 943 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fd(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__708) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 944 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ez(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uuc),Uua))))))) # label(fact_ATP_Olambda__709) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 945 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jj(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__710) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 946 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jf(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1472642189_lessf,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uuc),Uua))))))) # label(fact_ATP_Olambda__711) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 947 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gp(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566720d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__712) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 948 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ld(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049582746d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304324d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__713) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 949 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_oy(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__714) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 950 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tw(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1450731491lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__715) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 951 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_po(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050566733d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__716) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 952 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_um(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1945780041nd_iii,aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1050304330d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__717) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 953 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_acc(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1531184783d_e_is(Uu),Uub),Uuc)) -> pp(aa_TPTP_ind_bool(Uua,Uuc)))))) # label(fact_ATP_Olambda__718) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 954 (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(scratc1531184783d_e_is(Uu),Uub),Uuc)))))) # label(fact_ATP_Olambda__719) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 955 (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(scratc1879884801nd_all(Uu),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_bk(Uu),Uua),Uub),Uuc))))) # label(fact_ATP_Olambda__720) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 956 (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(scratc1592867136l_some(Uua),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bb(Uu),Uub),Uuc))))) # label(fact_ATP_Olambda__721) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 957 (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(scratc1595934511bnd_ap,Uub),aa_TPTP_ind_TPTP_ind(scratc1477770448ght1to(Uu,Uua),Uuc))) # label(fact_ATP_Olambda__722) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 958 (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(scratc1595934511bnd_ap,Uub),aa_TPTP_ind_TPTP_ind(scratc1333275397eft1to(Uu,Uua),Uuc))) # label(fact_ATP_Olambda__723) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 959 (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(scratc1946042444nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1531184783d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,Uub),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,Uub),Uud))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1531184783d_e_is(Uu),Uuc),Uud))))) # label(fact_ATP_Olambda__724) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 960 (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(scratc1531184783d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,Uub),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,Uub),Uud)))))) # label(fact_ATP_Olambda__725) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 961 (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(scratc334722680all_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__726) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 962 (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(scratc334722680all_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__727) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 963 (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(scratc1595934511bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1510871193wissel(Uu,Uub),Uuc)),Uud))) # label(fact_ATP_Olambda__728) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 964 (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(scratc334722680all_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__729) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 965 (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(scratc1531184783d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,Uub),Uuc)),Uue)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1595934511bnd_ap,Uub),Uud)),Uuf))))))) # label(fact_ATP_Olambda__730) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 966 (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(scratc334722680all_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__731) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 967 (all Uu all Uua (gg_TPTP_ind(Uu) -> aa_TPTP_ind_TPTP_ind(aTP_Lamm_aj(Uu),Uua) = Uu)) # label(fact_ATP_Olambda__732) # label(axiom) # label(non_clause). [assumption].
% 1.67/1.92 968 (all Uu (gg_TPTP_ind(Uu) -> aa_TPTP_ind_TPTP_ind(aTP_Lamm_an,Uu) = Uu)) # label(fact_ATP_Olambda__733) # label(axiom) # label(non_clause). [assumption].
% 1.75/2.05 969 (all Uu aa_TPTP_ind_TPTP_ind(aTP_Lamm_al,Uu) = scratc1986562785nd_nat) # label(fact_ATP_Olambda__734) # label(axiom) # label(non_clause). [assumption].
% 1.75/2.05 970 (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].
% 1.75/2.05 971 (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].
% 1.75/2.05 972 (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].
% 1.75/2.05 973 (all P (gg_bool(P) -> P = fTrue | P = fFalse)) # label(help_fFalse_1_1_T) # label(axiom) # label(non_clause). [assumption].
% 1.75/2.05 974 (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].
% 1.75/2.05 975 (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].
% 1.75/2.05 976 (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].
% 1.75/2.05 977 (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].
% 1.75/2.05 978 (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].
% 1.75/2.05 979 (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].
% 1.75/2.05 980 (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].
% 1.75/2.05 981 (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].
% 1.75/2.05 982 (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].
% 1.75/2.05
% 1.75/2.05 ============================== end of process non-clausal formulas ===
% 1.75/2.05
% 1.75/2.05 ============================== PROCESS INITIAL CLAUSES ===============
% 1.75/2.05
% 1.75/2.05 ============================== PREDICATE ELIMINATION =================
% 1.75/2.05 983 -gg_bool(A) | A = fTrue | A = fFalse # label(help_fFalse_1_1_T) # label(axiom). [clausify(973)].
% 1.75/2.05 984 gg_bool(undefined_bool(bool)) # label(gsy_c_HOL_Oundefined_001t__HOL__Obool) # label(axiom). [assumption].
% 1.75/2.05 985 gg_bool(scratc1591209530_amone(A,B)) # label(gsy_c_Scratch__tptp__translate__62806__11266_ONUM785__thf__4__p_Obnd__amone) # label(axiom). [clausify(1)].
% 1.75/2.05 986 gg_bool(scratc1646968595_d_and(A,B)) # label(gsy_c_Scratch__tptp__translate__62806__11266_ONUM785__thf__4__p_Obnd__d__and) # label(axiom). [clausify(2)].
% 1.75/2.05 987 gg_bool(scratc1754433775_d_not(A)) # label(gsy_c_Scratch__tptp__translate__62806__11266_ONUM785__thf__4__p_Obnd__d__not) # label(axiom). [clausify(3)].
% 1.75/2.05 988 gg_bool(scratc1912340373nd_ec3(A,B,C)) # label(gsy_c_Scratch__tptp__translate__62806__11266_ONUM785__thf__4__p_Obnd__ec3) # label(axiom). [clausify(4)].
% 1.75/2.05 989 gg_bool(scratc917937802d_l_ec(A,B)) # label(gsy_c_Scratch__tptp__translate__62806__11266_ONUM785__thf__4__p_Obnd__l__ec) # label(axiom). [clausify(8)].
% 4.34/4.64 990 gg_bool(scratc1995939408nd_or3(A,B,C)) # label(gsy_c_Scratch__tptp__translate__62806__11266_ONUM785__thf__4__p_Obnd__or3) # label(axiom). [clausify(9)].
% 4.34/4.64 991 gg_bool(aa_bool_bool(A,B)) # label(gsy_c_aa_001t__HOL__Obool_001t__HOL__Obool) # label(axiom). [clausify(10)].
% 4.34/4.64 992 gg_bool(aa_TPTP_ind_bool(A,B)) # label(gsy_c_aa_001t__TPTP____Interpret__Oind_001t__HOL__Obool) # label(axiom). [clausify(11)].
% 4.34/4.64 993 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)].
% 4.34/4.64 994 gg_bool(fEx_TPTP_ind(A)) # label(gsy_c_fEx_001t__TPTP____Interpret__Oind) # label(axiom). [clausify(16)].
% 4.34/4.64 995 gg_bool(fFalse) # label(gsy_c_fFalse) # label(axiom). [assumption].
% 4.34/4.64 996 gg_bool(fTrue) # label(gsy_c_fTrue) # label(axiom). [assumption].
% 4.34/4.64 Derived: undefined_bool(bool) = fTrue | undefined_bool(bool) = fFalse. [resolve(983,a,984,a)].
% 4.34/4.64 Derived: scratc1591209530_amone(A,B) = fTrue | scratc1591209530_amone(A,B) = fFalse. [resolve(983,a,985,a)].
% 4.34/4.64 Derived: scratc1646968595_d_and(A,B) = fTrue | scratc1646968595_d_and(A,B) = fFalse. [resolve(983,a,986,a)].
% 4.34/4.64 Derived: scratc1754433775_d_not(A) = fTrue | scratc1754433775_d_not(A) = fFalse. [resolve(983,a,987,a)].
% 4.34/4.64 Derived: scratc1912340373nd_ec3(A,B,C) = fTrue | scratc1912340373nd_ec3(A,B,C) = fFalse. [resolve(983,a,988,a)].
% 4.34/4.64 Derived: scratc917937802d_l_ec(A,B) = fTrue | scratc917937802d_l_ec(A,B) = fFalse. [resolve(983,a,989,a)].
% 4.34/4.64 Derived: scratc1995939408nd_or3(A,B,C) = fTrue | scratc1995939408nd_or3(A,B,C) = fFalse. [resolve(983,a,990,a)].
% 4.34/4.64 Derived: aa_bool_bool(A,B) = fTrue | aa_bool_bool(A,B) = fFalse. [resolve(983,a,991,a)].
% 4.34/4.64 Derived: aa_TPTP_ind_bool(A,B) = fTrue | aa_TPTP_ind_bool(A,B) = fFalse. [resolve(983,a,992,a)].
% 4.34/4.64 Derived: aa_fun171081125l_bool(A,B) = fTrue | aa_fun171081125l_bool(A,B) = fFalse. [resolve(983,a,993,a)].
% 4.34/4.64 Derived: fEx_TPTP_ind(A) = fTrue | fEx_TPTP_ind(A) = fFalse. [resolve(983,a,994,a)].
% 4.34/4.64 Derived: fFalse = fTrue | fFalse = fFalse. [resolve(983,a,995,a)].
% 4.34/4.64 Derived: fTrue = fTrue | fTrue = fFalse. [resolve(983,a,996,a)].
% 4.34/4.64 997 scratc1312872592d_r_ec(A,B) | pp(A) # label(fact_def__r__ec) # label(axiom). [clausify(106)].
% 4.34/4.64 998 -scratc1312872592d_r_ec(A,B) | -pp(A) | pp(scratc1754433775_d_not(B)) # label(fact_def__r__ec) # label(axiom). [clausify(106)].
% 4.34/4.64 999 scratc1312872592d_r_ec(A,B) | -pp(scratc1754433775_d_not(B)) # label(fact_def__r__ec) # label(axiom). [clausify(106)].
% 4.34/4.64 1000 scratc393626397_l_iff(A,B) | -pp(scratc1646968595_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1946042444nd_imp,A),B),aa_bool_bool(aa_boo1142376798l_bool(scratc1946042444nd_imp,B),A))) # label(fact_def__l__iff) # label(axiom). [clausify(138)].
% 4.34/4.64 1001 -scratc393626397_l_iff(A,B) | pp(scratc1646968595_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1946042444nd_imp,A),B),aa_bool_bool(aa_boo1142376798l_bool(scratc1946042444nd_imp,B),A))) # label(fact_def__l__iff) # label(axiom). [clausify(138)].
% 4.34/4.64 1002 scratc1701970529d_orec(A,B) | -pp(scratc1646968595_d_and(aa_bool_bool(scratc918593807d_l_or(A),B),scratc917937802d_l_ec(A,B))) # label(fact_def__orec) # label(axiom). [clausify(139)].
% 4.34/4.64 1003 -scratc1701970529d_orec(A,B) | pp(scratc1646968595_d_and(aa_bool_bool(scratc918593807d_l_or(A),B),scratc917937802d_l_ec(A,B))) # label(fact_def__orec) # label(axiom). [clausify(139)].
% 4.34/4.64 1004 scratc2061178718nd_wel(A) | -pp(scratc1754433775_d_not(scratc1754433775_d_not(A))) # label(fact_def__wel) # label(axiom). [clausify(144)].
% 4.34/4.64 1005 -scratc2061178718nd_wel(A) | pp(scratc1754433775_d_not(scratc1754433775_d_not(A))) # label(fact_def__wel) # label(axiom). [clausify(144)].
% 4.34/4.64 1006 -scratc2061178718nd_wel(A) | pp(A) # label(fact_l__et) # label(axiom). [clausify(196)].
% 4.34/4.64 Derived: pp(A) | -pp(scratc1754433775_d_not(scratc1754433775_d_not(A))). [resolve(1006,a,1004,a)].
% 4.34/4.64
% 4.34/4.64 ============================== end predicate elimination =============
% 4.34/4.64
% 4.34/4.64 Auto_denials: (non-Horn, no changes).
% 4.34/4.64
% 4.34/4.64 Term ordering decisions:
% 4.34/4.64 Function symbol KB weights: aTP_Lamm_kw=1. aTP_Lamm_ct=1. scratc1049582746d_n_eq=1. scratc1049845144d_n_is=1. scratc1472642189_lessf=1. scratc1818963985_moref=1. scratc1945780041nd_iii=1. scratc193937611_29_ii=1. scratc1596459301bnd_in=1. scratc1564832259rdsucc=1. scratc1450731491lessis=1. scratc1595934511bnd_ap=1. scratc1584715103moreis=1. scratc764021091nd_n_1=1. aTP_Lamm_au=1. scratc1450469093lesseq=1. scratc1818963996_moreq=1. scratc1986562785nd_nat=1. scratc1718512001_Sigma=1. scratc1754373813ptyset=1. aTP_Lamm_a=1. scratc1049648346d_n_fr=1. scratc1904210125nd_den=1. scratc1118874286d_frac=1. scratc389980509d_d_Pi=1. scratc1987087576nd_nis=1. scratc1987874758nd_num=1. scratc704297836_rt_is=1. scratc189208130n_some=1. fFalse=1. scratc398673551_nat_p=1. scratc983997093_power=1. scratc1946042444nd_imp=1. scratc1789570511d_repl=1. scratc1946108033nd_inf=1. scratc826934200_class=1. fTrue=1. scratc1343284951t_more=1. scratc480148315t_less=1. scratc1071942419_n_all=1. scratc194890906d_pair=1. aTP_Lamm_al=1. scratc1604913077d_Subq=1. scratc1112510931_proj0=1. scratc1491258959_union=1. scratc2019608805nd_rat=1. scratc2105513695closed=1. scratc764021092nd_n_2=1. aTP_Lamm_ar=1. scratc1049845139d_n_in=1. scratc1112510932_proj1=1. aTP_Lamm_abf=1. aTP_Lamm_aq=1. scratc1250809960_d_1to=1. scratc1509474135closed=1. scratc1674207149closed=1. aTP_Lamm_aa=1. aTP_Lamm_aaw=1. aTP_Lamm_aba=1. aTP_Lamm_abb=1. aTP_Lamm_ak=1. aTP_Lamm_cb=1. aTP_Lamm_cd=1. aTP_Lamm_cf=1. aTP_Lamm_cq=1. aTP_Lamm_gw=1. aTP_Lamm_gy=1. aTP_Lamm_hb=1. aTP_Lamm_li=1. aTP_Lamm_mg=1. aTP_Lamm_mi=1. aTP_Lamm_ms=1. aTP_Lamm_mu=1. aTP_Lamm_mw=1. aTP_Lamm_my=1. aTP_Lamm_na=1. aTP_Lamm_nc=1. aTP_Lamm_ne=1. aTP_Lamm_ng=1. aTP_Lamm_nq=1. aTP_Lamm_ns=1. aTP_Lamm_on=1. aTP_Lamm_sv=1. aTP_Lamm_sx=1. aTP_Lamm_sz=1. aTP_Lamm_tb=1. aTP_Lamm_td=1. aTP_Lamm_tf=1. aTP_Lamm_th=1. aTP_Lamm_tj=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. aTP_Lamm_ys=1. aTP_Lamm_yu=1. aTP_Lamm_yw=1. aTP_Lamm_yy=1. aTP_Lamm_za=1. scratc1122134649_prop2=1. scratc184186224d_Inj1=1. scratc1857852201_prop2=1. scratc282166145_omega=1. scratc718339644closed=1. aTP_Lamm_aaa=1. aTP_Lamm_aad=1. aTP_Lamm_aaf=1. aTP_Lamm_aai=1. aTP_Lamm_aal=1. aTP_Lamm_aao=1. aTP_Lamm_aar=1. aTP_Lamm_aat=1. aTP_Lamm_aau=1. aTP_Lamm_aaz=1. aTP_Lamm_as=1. aTP_Lamm_br=1. aTP_Lamm_bt=1. aTP_Lamm_bu=1. aTP_Lamm_ch=1. aTP_Lamm_cj=1. aTP_Lamm_cl=1. aTP_Lamm_co=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_dx=1. aTP_Lamm_eb=1. aTP_Lamm_ef=1. aTP_Lamm_ei=1. aTP_Lamm_el=1. aTP_Lamm_eo=1. aTP_Lamm_er=1. aTP_Lamm_eu=1. aTP_Lamm_ex=1. aTP_Lamm_fb=1. aTP_Lamm_ff=1. aTP_Lamm_fj=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_gf=1. aTP_Lamm_gi=1. aTP_Lamm_gl=1. aTP_Lamm_gn=1. aTP_Lamm_gr=1. aTP_Lamm_gu=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_id=1. aTP_Lamm_ih=1. aTP_Lamm_il=1. aTP_Lamm_io=1. aTP_Lamm_ir=1. aTP_Lamm_iu=1. aTP_Lamm_ix=1. aTP_Lamm_ja=1. aTP_Lamm_jd=1. aTP_Lamm_jh=1. aTP_Lamm_jl=1. aTP_Lamm_jp=1. aTP_Lamm_jt=1. aTP_Lamm_jw=1. aTP_Lamm_jz=1. aTP_Lamm_kc=1. aTP_Lamm_kf=1. aTP_Lamm_ki=1. aTP_Lamm_kl=1. aTP_Lamm_kn=1. aTP_Lamm_kp=1. aTP_Lamm_ks=1. aTP_Lamm_ku=1. aTP_Lamm_ky=1. aTP_Lamm_lb=1. aTP_Lamm_lf=1. aTP_Lamm_lk=1. aTP_Lamm_lm=1. aTP_Lamm_lp=1. aTP_Lamm_ls=1. aTP_Lamm_lv=1. aTP_Lamm_ly=1. aTP_Lamm_mb=1. aTP_Lamm_me=1. aTP_Lamm_mm=1. aTP_Lamm_mq=1. aTP_Lamm_nk=1. aTP_Lamm_no=1. aTP_Lamm_nu=1. aTP_Lamm_nw=1. aTP_Lamm_ny=1. aTP_Lamm_ob=1. aTP_Lamm_oe=1. aTP_Lamm_og=1. aTP_Lamm_oi=1. aTP_Lamm_ol=1. aTP_Lamm_os=1. aTP_Lamm_ow=1. aTP_Lamm_pa=1. aTP_Lamm_pe=1. aTP_Lamm_pi=1. aTP_Lamm_pm=1. aTP_Lamm_pq=1. aTP_Lamm_pu=1. aTP_Lamm_px=1. aTP_Lamm_qa=1. aTP_Lamm_qd=1. aTP_Lamm_qg=1. aTP_Lamm_qj=1. aTP_Lamm_qm=1. aTP_Lamm_qp=1. aTP_Lamm_qt=1. aTP_Lamm_qx=1. aTP_Lamm_rb=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_rx=1. aTP_Lamm_sa=1. aTP_Lamm_sd=1. aTP_Lamm_sf=1. aTP_Lamm_sh=1. aTP_Lamm_sk=1. aTP_Lamm_sn=1. aTP_Lamm_sq=1. aTP_Lamm_st=1. aTP_Lamm_tq=1. aTP_Lamm_tu=1. aTP_Lamm_ty=1. aTP_Lamm_uc=1. aTP_Lamm_ug=1. aTP_Lamm_uk=1. aTP_Lamm_uo=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_vq=1. aTP_Lamm_vt=1. aTP_Lamm_vw=1. aTP_Lamm_wa=1. aTP_Lamm_we=1. aTP_Lamm_wi=1. aTP_Lamm_wm=1. aTP_Lamm_wp=1. aTP_Lamm_ws=1. aTP_Lamm_wv=1. aTP_Lamm_wy=1. aTP_Lamm_xb=1. aTP_Lamm_xe=1. aTP_Lamm_xi=1. aTP_Lamm_xk=1. aTP_Lamm_xn=1. aTP_Lamm_xq=1. aTP_Lamm_xt=1. aTP_Lamm_xw=1. aTP_Lamm_xz=1. aTP_Lamm_yc=1. aTP_Lamm_zc=1. aTP_Lamm_ze=1. aTP_Lamm_zg=1. aTP_Lamm_zi=1. aTP_Lamm_zk=1. aTP_Lamm_zo=1. aTP_Lamm_zq=1. aTP_Lamm_zt=1. aTP_Lamm_zw=1. aTP_Lamm_zy=1. fconj=1. fimplies=1. scratc1046171601d_n_1t=1. scratc1122134648_prop1=1. scratc1127627664_cond2=1. scratc1187734680_n_one=1. scratc1506562195d_Sing=1. scratc1816762405lessis=1. scratc184186223d_Inj0=1. scratc1857852200_prop1=1. scratc1950746017moreis=1. aTP_Lamm_aab=1. aTP_Lamm_aae=1. aTP_Lamm_aag=1. aTP_Lamm_aah=1. aTP_Lamm_aaj=1. aTP_Lamm_aak=1. aTP_Lamm_aam=1. aTP_Lamm_aan=1. aTP_Lamm_aap=1. aTP_Lamm_aaq=1. aTP_Lamm_aas=1. aTP_Lamm_aav=1. aTP_Lamm_aax=1. aTP_Lamm_aay=1. aTP_Lamm_abc=1. aTP_Lamm_abd=1. aTP_Lamm_abe=1. aTP_Lamm_abh=1. aTP_Lamm_ace=1. aTP_Lamm_bx=1. aTP_Lamm_cc=1. aTP_Lamm_ce=1. aTP_Lamm_cg=1. aTP_Lamm_ci=1. aTP_Lamm_ck=1. aTP_Lamm_cm=1. aTP_Lamm_cp=1. aTP_Lamm_cr=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_dy=1. aTP_Lamm_ec=1. aTP_Lamm_eg=1. aTP_Lamm_ej=1. aTP_Lamm_em=1. aTP_Lamm_ep=1. aTP_Lamm_es=1. aTP_Lamm_ev=1. aTP_Lamm_ey=1. aTP_Lamm_fc=1. aTP_Lamm_fg=1. aTP_Lamm_fk=1. aTP_Lamm_fo=1. aTP_Lamm_fr=1. aTP_Lamm_fu=1. aTP_Lamm_fx=1. aTP_Lamm_ga=1. aTP_Lamm_gd=1. aTP_Lamm_gg=1. aTP_Lamm_gj=1. aTP_Lamm_gm=1. aTP_Lamm_go=1. aTP_Lamm_gs=1. aTP_Lamm_gv=1. aTP_Lamm_gx=1. aTP_Lamm_gz=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_ie=1. aTP_Lamm_ii=1. aTP_Lamm_im=1. aTP_Lamm_ip=1. aTP_Lamm_is=1. aTP_Lamm_iv=1. aTP_Lamm_iy=1. aTP_Lamm_jb=1. aTP_Lamm_je=1. aTP_Lamm_ji=1. aTP_Lamm_jm=1. aTP_Lamm_jq=1. aTP_Lamm_ju=1. aTP_Lamm_jx=1. aTP_Lamm_ka=1. aTP_Lamm_kd=1. aTP_Lamm_kg=1. aTP_Lamm_kj=1. aTP_Lamm_km=1. aTP_Lamm_ko=1. aTP_Lamm_kq=1. aTP_Lamm_kt=1. aTP_Lamm_kv=1. aTP_Lamm_kz=1. aTP_Lamm_lc=1. aTP_Lamm_lg=1. aTP_Lamm_lj=1. aTP_Lamm_ll=1. aTP_Lamm_ln=1. aTP_Lamm_lq=1. aTP_Lamm_lt=1. aTP_Lamm_lw=1. aTP_Lamm_lz=1. aTP_Lamm_mc=1. aTP_Lamm_mf=1. aTP_Lamm_mh=1. aTP_Lamm_mj=1. aTP_Lamm_mn=1. aTP_Lamm_mr=1. aTP_Lamm_mt=1. aTP_Lamm_mv=1. aTP_Lamm_mx=1. aTP_Lamm_mz=1. aTP_Lamm_nb=1. aTP_Lamm_nd=1. aTP_Lamm_nf=1. aTP_Lamm_nh=1. aTP_Lamm_nl=1. aTP_Lamm_np=1. aTP_Lamm_nr=1. aTP_Lamm_nt=1. aTP_Lamm_nv=1. aTP_Lamm_nx=1. aTP_Lamm_nz=1. aTP_Lamm_oc=1. aTP_Lamm_of=1. aTP_Lamm_oh=1. aTP_Lamm_oj=1. aTP_Lamm_om=1. aTP_Lamm_oo=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_pn=1. aTP_Lamm_pr=1. aTP_Lamm_pv=1. aTP_Lamm_py=1. aTP_Lamm_qb=1. aTP_Lamm_qe=1. aTP_Lamm_qh=1. aTP_Lamm_qk=1. aTP_Lamm_qn=1. aTP_Lamm_qq=1. aTP_Lamm_qu=1. aTP_Lamm_qy=1. aTP_Lamm_rc=1. aTP_Lamm_rg=1. aTP_Lamm_rj=1. aTP_Lamm_rm=1. aTP_Lamm_rp=1. aTP_Lamm_rs=1. aTP_Lamm_rv=1. aTP_Lamm_ry=1. aTP_Lamm_sb=1. aTP_Lamm_se=1. aTP_Lamm_sg=1. aTP_Lamm_si=1. aTP_Lamm_sj=1. aTP_Lamm_sl=1. aTP_Lamm_sm=1. aTP_Lamm_so=1. aTP_Lamm_sp=1. aTP_Lamm_sr=1. aTP_Lamm_ss=1. aTP_Lamm_su=1. aTP_Lamm_sw=1. aTP_Lamm_sy=1. aTP_Lamm_ta=1. aTP_Lamm_tc=1. aTP_Lamm_te=1. aTP_Lamm_tg=1. aTP_Lamm_ti=1. aTP_Lamm_tk=1. aTP_Lamm_tl=1. aTP_Lamm_tm=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_ul=1. aTP_Lamm_up=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_vo=1. aTP_Lamm_vr=1. aTP_Lamm_vu=1. aTP_Lamm_vx=1. aTP_Lamm_wb=1. aTP_Lamm_wf=1. aTP_Lamm_wj=1. aTP_Lamm_wn=1. aTP_Lamm_wq=1. aTP_Lamm_wt=1. aTP_Lamm_ww=1. aTP_Lamm_wz=1. aTP_Lamm_xc=1. aTP_Lamm_xf=1. aTP_Lamm_xg=1. aTP_Lamm_xh=1. aTP_Lamm_xj=1. aTP_Lamm_xl=1. aTP_Lamm_xo=1. aTP_Lamm_xr=1. aTP_Lamm_xu=1. aTP_Lamm_xx=1. aTP_Lamm_ya=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_zd=1. aTP_Lamm_zf=1. aTP_Lamm_zh=1. aTP_Lamm_zj=1. aTP_Lamm_zl=1. aTP_Lamm_zp=1. aTP_Lamm_zr=1. aTP_Lamm_zu=1. aTP_Lamm_zx=1. aTP_Lamm_zz=1. fequal_TPTP_ind=1. scratc1046237200d_n_2t=1. scratc1127627663_cond1=1. scratc1547830541_d_Unj=1. scratc1984988403nd_nIn=1. scratc831730333univof=1. aTP_Lamm_ab=1. aTP_Lamm_an=1. aTP_Lamm_at=1. aTP_Lamm_bv=1. aTP_Lamm_bw=1. bool=1. scratc1046171596d_n_1o=1. scratc1112904529_prop4=1. scratc1122134651_prop4=1. scratc1269490025_prop1=1. scratc1279005297428_id=1. scratc1421582230pair_p=1. scratc1475455077_prop1=1. scratc1580067217r1type=1. scratc1710496823_prop1=1. scratc1863154509_empty=1. scratc2039968800nempty=1. scratc2119814365munion=1. scratc286554650d_plus=1. scratc311192342rt_nis=1. scratc504695779_prop1=1. scratc681127850_prop1=1. scratc776116006_times=1. scratc887092902_prop1=1. scratc1046029521d_fixf=1. scratc113585814d_xout=1. scratc1172150961_428_g=1. scratc1731512854t_some=1. scratc203989567rt_all=1. scratc2043103061air_u0=1. scratc2131653473d_24_g=1. scratc246545867d_i1_s=1. scratc319781828rt_one=1. scratc430508967let_u0=1. scratc704297831_rt_in=1. scratc786429441d_1out=1. scratc900710940_ratof=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. scratc1646968595_d_and=1. aa_fun1431113780TP_ind=1. aa_boo1142376798l_bool=1. aa_TPT1123896796d_bool=1. scratc1596459293bnd_if=1. scratc917937802d_l_ec=1. aa_fun1212484691d_bool=1. scratc1531184778d_e_in=1. scratc1946108031nd_ind=1. aa_TPT1791839040TP_ind=1. aa_TPT985247859d_bool=1. scratc454850814d_pair=1. aa_fun987228051d_bool=1. scratc1591209530_amone=1. scratc122603476second=1. scratc2001668987_image=1. scratc2044311056_first=1. aa_TPT125613450d_bool=1. scratc1987481165nd_non=1. aa_fun1913827119d_bool=1. scratc1478121963d_anec=1. aa_fun1107270209d_bool=1. aa_fun845057962d_bool=1. scratc1912340434nd_ecp=1. scratc407741720_ecect=1. scratc408332111_ecelt=1. scratc45878283eplSep=1. scratc1130817870fixfu2=1. scratc1912340438nd_ect=1. scratc1996136270nd_out=1. aa_TPT1781712639TP_ind=1. aa_TPT2142672771l_bool=1. aa_fun1235454963TP_ind=1. cOMBB_658106424TP_ind=1. cOMBS_2003118649l_bool=1. scratc1112904585_propl=1. scratc1112904586_propm=1. scratc1333275397eft1to=1. scratc1477770448ght1to=1. scratc1510871193wissel=1. scratc1527642519ectelt=1. scratc1629901357etprop=1. scratc1642844396ectset=1. scratc2093027300_fixfu=1. scratc1281483797d_invf=1. scratc1285220328d_tofs=1. scratc1748961742unmore=1. scratc963079952nverse=1. f1=1. f12=1. f13=1. f20=1. f24=1. scratc334722680all_of=1. scratc1050304330d_n_pl=1. scratc1050566733d_n_ts=1. scratc1050304324d_n_pf=1. scratc1050566720d_n_tf=1. scratc1754433775_d_not=1. scratc1531184783d_e_is=1. scratc1592867136l_some=1. scratc1530717146_d_Sep=1. scratc347794979d_esti=1. scratc918593807d_l_or=1. scratc888787112ffprop=1. scratc1879884801nd_all=1. scratc1995677062nd_one=1. aTP_Lamm_aj=1. scratc1727739040d_outn=1. scratc419815744_rec_G=1. aTP_Lamm_abo=1. aTP_Lamm_mk=1. aTP_Lamm_mo=1. aTP_Lamm_ni=1. aTP_Lamm_nm=1. scratc282846407_367_w=1. aTP_Lamm_abg=1. aTP_Lamm_acc=1. aTP_Lamm_ao=1. aTP_Lamm_av=1. aTP_Lamm_bf=1. aTP_Lamm_bn=1. aTP_Lamm_ca=1. aTP_Lamm_cn=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_dz=1. aTP_Lamm_ed=1. aTP_Lamm_ez=1. aTP_Lamm_fd=1. aTP_Lamm_fh=1. aTP_Lamm_fl=1. aTP_Lamm_gp=1. aTP_Lamm_gt=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_if=1. aTP_Lamm_ij=1. aTP_Lamm_jf=1. aTP_Lamm_jj=1. aTP_Lamm_jn=1. aTP_Lamm_jr=1. aTP_Lamm_ld=1. aTP_Lamm_lo=1. aTP_Lamm_lr=1. aTP_Lamm_lu=1. aTP_Lamm_lx=1. aTP_Lamm_ma=1. aTP_Lamm_md=1. aTP_Lamm_ok=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_po=1. aTP_Lamm_ps=1. aTP_Lamm_qr=1. aTP_Lamm_qv=1. aTP_Lamm_qz=1. aTP_Lamm_rd=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_um=1. aTP_Lamm_uq=1. aTP_Lamm_vy=1. aTP_Lamm_wc=1. aTP_Lamm_wg=1. aTP_Lamm_wk=1. aTP_Lamm_xm=1. aTP_Lamm_xp=1. aTP_Lamm_xs=1. aTP_Lamm_xv=1. aTP_Lamm_xy=1. aTP_Lamm_yb=1. aTP_Lamm_zm=1. scratc1280237422d_incl=1. aTP_Lamm_aby=1. aTP_Lamm_aca=1. aTP_Lamm_az=1. aTP_Lamm_bj=1. aTP_Lamm_bm=1. aTP_Lamm_bq=1. aTP_Lamm_eh=1. aTP_Lamm_ek=1. aTP_Lamm_en=1. aTP_Lamm_eq=1. aTP_Lamm_et=1. aTP_Lamm_ew=1. aTP_Lamm_fp=1. aTP_Lamm_fs=1. aTP_Lamm_fv=1. aTP_Lamm_fy=1. aTP_Lamm_gb=1. aTP_Lamm_ge=1. aTP_Lamm_in=1. aTP_Lamm_iq=1. aTP_Lamm_it=1. aTP_Lamm_iw=1. aTP_Lamm_iz=1. aTP_Lamm_jc=1. aTP_Lamm_jv=1. aTP_Lamm_jy=1. aTP_Lamm_kb=1. aTP_Lamm_ke=1. aTP_Lamm_kh=1. aTP_Lamm_kk=1. aTP_Lamm_pw=1. aTP_Lamm_pz=1. aTP_Lamm_qc=1. aTP_Lamm_qf=1. aTP_Lamm_qi=1. aTP_Lamm_ql=1. aTP_Lamm_qo=1. aTP_Lamm_rh=1. aTP_Lamm_rk=1. aTP_Lamm_rn=1. aTP_Lamm_rq=1. aTP_Lamm_rt=1. aTP_Lamm_rw=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_vp=1. aTP_Lamm_vs=1. aTP_Lamm_vv=1. aTP_Lamm_wo=1. aTP_Lamm_wr=1. aTP_Lamm_wu=1. aTP_Lamm_wx=1. aTP_Lamm_xa=1. aTP_Lamm_xd=1. aTP_Lamm_zs=1. aTP_Lamm_zv=1. scratc1198755353etprod=1. scratc1385780263ective=1. scratc1913193224nd_eps=1. scratc1946108041nd_inn=1. aTP_Lamm_aac=1. aTP_Lamm_abi=1. aTP_Lamm_abj=1. aTP_Lamm_abk=1. aTP_Lamm_abm=1. aTP_Lamm_abs=1. aTP_Lamm_abu=1. aTP_Lamm_abv=1. aTP_Lamm_abz=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_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_ea=1. aTP_Lamm_ee=1. aTP_Lamm_fa=1. aTP_Lamm_fe=1. aTP_Lamm_fi=1. aTP_Lamm_fm=1. aTP_Lamm_gh=1. aTP_Lamm_gk=1. aTP_Lamm_gq=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_ig=1. aTP_Lamm_ik=1. aTP_Lamm_jg=1. aTP_Lamm_jk=1. aTP_Lamm_jo=1. aTP_Lamm_js=1. aTP_Lamm_kr=1. aTP_Lamm_kx=1. aTP_Lamm_la=1. aTP_Lamm_le=1. aTP_Lamm_lh=1. aTP_Lamm_ml=1. aTP_Lamm_mp=1. aTP_Lamm_nj=1. aTP_Lamm_nn=1. aTP_Lamm_oa=1. aTP_Lamm_od=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_pp=1. aTP_Lamm_pt=1. aTP_Lamm_qs=1. aTP_Lamm_qw=1. aTP_Lamm_ra=1. aTP_Lamm_re=1. aTP_Lamm_rz=1. aTP_Lamm_sc=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_un=1. aTP_Lamm_ur=1. aTP_Lamm_vz=1. aTP_Lamm_wd=1. aTP_Lamm_wh=1. aTP_Lamm_wl=1. aTP_Lamm_zn=1. fEx_TPTP_ind=1. scratc1050041924d_n_lb=1. scratc1165646652ective=1. scratc1978826066nd_min=1. scratc2124860057lbprop=1. scratc966187816nunion=1. aTP_Lamm_abl=1. aTP_Lamm_abn=1. aTP_Lamm_abp=1. aTP_Lamm_abq=1. aTP_Lamm_abr=1. aTP_Lamm_abt=1. aTP_Lamm_abw=1. aTP_Lamm_abx=1. aTP_Lamm_acb=1. aTP_Lamm_acd=1. aTP_Lamm_bc=1. scratc1612998379_UPair=1. scratc1921125511In_rec=1. scratc339160413econd1=1. scratc678386199_pair1=1. scratc849595937first1=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. scratc1112904528_prop3=1. scratc1299309853t_disj=1. scratc1569499493ective=1. scratc182668585367_vo=1. scratc2063817252_prop1=1. scratc2104400513_prop1=1. scratc298730727_prop1=1. scratc545279040_prop1=1. scratc882473358tminus=1. undefined_bool=1. scratc1050107535d_n_mn=1. scratc1794417926_477_v=1. scratc2042840665air_q0=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. scratc1995939408nd_or3=1. scratc1912340373nd_ec3=1. scratc194650162Cputime limit exceeded (core dumped)
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