TSTP Solution File: NUM788+4 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : NUM788+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 13:32:10 EDT 2022
% Result : Timeout 300.08s 300.40s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM788+4 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jul 5 05:35:44 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.62/2.01 ============================== Prover9 ===============================
% 1.62/2.01 Prover9 (32) version 2009-11A, November 2009.
% 1.62/2.01 Process 19081 was started by sandbox on n020.cluster.edu,
% 1.62/2.01 Tue Jul 5 05:35:46 2022
% 1.62/2.01 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_18901_n020.cluster.edu".
% 1.62/2.01 ============================== end of head ===========================
% 1.62/2.01
% 1.62/2.01 ============================== INPUT =================================
% 1.62/2.01
% 1.62/2.01 % Reading from file /tmp/Prover9_18901_n020.cluster.edu
% 1.62/2.01
% 1.62/2.01 set(prolog_style_variables).
% 1.62/2.01 set(auto2).
% 1.62/2.01 % set(auto2) -> set(auto).
% 1.62/2.01 % set(auto) -> set(auto_inference).
% 1.62/2.01 % set(auto) -> set(auto_setup).
% 1.62/2.01 % set(auto_setup) -> set(predicate_elim).
% 1.62/2.01 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.62/2.01 % set(auto) -> set(auto_limits).
% 1.62/2.01 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.62/2.01 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.62/2.01 % set(auto) -> set(auto_denials).
% 1.62/2.01 % set(auto) -> set(auto_process).
% 1.62/2.01 % set(auto2) -> assign(new_constants, 1).
% 1.62/2.01 % set(auto2) -> assign(fold_denial_max, 3).
% 1.62/2.01 % set(auto2) -> assign(max_weight, "200.000").
% 1.62/2.01 % set(auto2) -> assign(max_hours, 1).
% 1.62/2.01 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.62/2.01 % set(auto2) -> assign(max_seconds, 0).
% 1.62/2.01 % set(auto2) -> assign(max_minutes, 5).
% 1.62/2.01 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.62/2.01 % set(auto2) -> set(sort_initial_sos).
% 1.62/2.01 % set(auto2) -> assign(sos_limit, -1).
% 1.62/2.01 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.62/2.01 % set(auto2) -> assign(max_megs, 400).
% 1.62/2.01 % set(auto2) -> assign(stats, some).
% 1.62/2.01 % set(auto2) -> clear(echo_input).
% 1.62/2.01 % set(auto2) -> set(quiet).
% 1.62/2.01 % set(auto2) -> clear(print_initial_clauses).
% 1.62/2.01 % set(auto2) -> clear(print_given).
% 1.62/2.01 assign(lrs_ticks,-1).
% 1.62/2.01 assign(sos_limit,10000).
% 1.62/2.01 assign(order,kbo).
% 1.62/2.01 set(lex_order_vars).
% 1.62/2.01 clear(print_given).
% 1.62/2.01
% 1.62/2.01 % formulas(sos). % not echoed (1284 formulas)
% 1.62/2.01
% 1.62/2.01 ============================== end of input ==========================
% 1.62/2.01
% 1.62/2.01 % From the command line: assign(max_seconds, 300).
% 1.62/2.01
% 1.62/2.01 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.62/2.01
% 1.62/2.01 % Formulas that are not ordinary clauses:
% 1.62/2.01 1 (all B_1 all B_2 gg_bool(scratc772951858_amone(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__63417__16348_ONUM788__thf__4__p_Obnd__amone) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 2 (all B_1 all B_2 gg_bool(scratc1115724827_d_and(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__63417__16348_ONUM788__thf__4__p_Obnd__d__and) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 3 (all B_1 gg_bool(scratc1223190007_d_not(B_1))) # label(gsy_c_Scratch__tptp__translate__63417__16348_ONUM788__thf__4__p_Obnd__d__not) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 4 (all B_1 all B_2 all B_3 gg_bool(scratc1845845133nd_ec3(B_1,B_2,B_3))) # label(gsy_c_Scratch__tptp__translate__63417__16348_ONUM788__thf__4__p_Obnd__ec3) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 5 (all B_1 all B_2 gg_TPTP_ind(scratc1845845198nd_ect(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__63417__16348_ONUM788__thf__4__p_Obnd__ect) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 6 (all B_1 gg_TPTP_ind(scratc1846697984nd_eps(B_1))) # label(gsy_c_Scratch__tptp__translate__63417__16348_ONUM788__thf__4__p_Obnd__eps) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 7 (all B_1 all B_2 gg_TPTP_ind(scratc1879612791nd_ind(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__63417__16348_ONUM788__thf__4__p_Obnd__ind) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 8 (all B_1 all B_2 gg_bool(scratc99680130d_l_ec(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__63417__16348_ONUM788__thf__4__p_Obnd__l__ec) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 9 (all B_1 all B_2 all B_3 gg_bool(scratc1929444168nd_or3(B_1,B_2,B_3))) # label(gsy_c_Scratch__tptp__translate__63417__16348_ONUM788__thf__4__p_Obnd__or3) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 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].
% 1.62/2.01 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].
% 1.62/2.01 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].
% 1.62/2.01 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].
% 1.62/2.01 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].
% 1.62/2.01 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].
% 1.62/2.01 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].
% 1.62/2.01 17 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc84241709lessis,X),Xa)) <-> pp(aa_bool_bool(scratc100336135d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2043040867t_less,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc173054068_rt_is,X),Xa))))) # label(fact_def__rt__lessis) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 18 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc218225321moreis,X),Xa)) <-> pp(aa_bool_bool(scratc100336135d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc173054068_rt_is,X),Xa))))) # label(fact_def__rt__moreis) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 19 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc294646913_propl(X,Xa),Xb),Xc)) <-> scratc996096644d_and3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879612793nd_inf,Xb),aa_TPTP_ind_TPTP_ind(scratc8676528_class,X)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879612793nd_inf,Xc),aa_TPTP_ind_TPTP_ind(scratc8676528_class,Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Xb),Xc)))) # label(fact_def__propl) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 20 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2043040867t_less,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1897569848l_some(scratc636914614d_frac),aa_TPT43085870d_bool(aTP_Lamm_ad(X),Xa))))) # label(fact_def__rt__less) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 21 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc294646914_propm(X,Xa),Xb),Xc)) <-> scratc996096644d_and3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879612793nd_inf,Xb),aa_TPTP_ind_TPTP_ind(scratc8676528_class,X)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879612793nd_inf,Xc),aa_TPTP_ind_TPTP_ind(scratc8676528_class,Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Xb),Xc)))) # label(fact_def__propm) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 22 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1897569848l_some(scratc636914614d_frac),aa_TPT43085870d_bool(aTP_Lamm_af(X),Xa))))) # label(fact_def__rt__more) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 23 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc489433998indrat(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc383083951indeq2(scratc636914614d_frac,scratc231325074d_n_eq,Xb,Xc,X),Xa)) # label(fact_def__indrat) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 24 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc615895054rt_nis,X),Xa)) <-> pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc173054068_rt_is,X),Xa))))) # label(fact_def__rt__nis) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 25 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc818613758_477_v(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc231390674d_n_fr,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1921379518nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1837714885nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1837714885nd_den,X)),aa_TPTP_ind_TPTP_ind(scratc1921379518nd_num,Xa)))) # label(fact_def__d__477__v) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 26 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc231390674d_n_fr,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1921379518nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1921379518nd_num,Xa))),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1837714885nd_den,X)),aa_TPTP_ind_TPTP_ind(scratc1837714885nd_den,Xa)))) # label(fact_def__n__tf) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 27 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1454525887_367_w(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc231390674d_n_fr,aa_TPTP_ind_TPTP_ind(scratc597631537367_vo(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1837714885nd_den,X)),aa_TPTP_ind_TPTP_ind(scratc1837714885nd_den,Xa)))) # label(fact_def__d__367__w) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 28 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc597631537367_vo(X),Xa) = scratc1879612791nd_ind(scratc1920067545nd_nat,aa_TPT43085870d_bool(scratc304196016ffprop(aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1921379518nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1837714885nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1921379518nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1837714885nd_den,X))))) # label(fact_def__d__367__vo) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 29 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc231390674d_n_fr,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1921379518nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1837714885nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1921379518nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1837714885nd_den,X)))),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1837714885nd_den,X)),aa_TPTP_ind_TPTP_ind(scratc1837714885nd_den,Xa)))) # label(fact_def__n__pf) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 30 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919225325lesseq,X),Xa)) <-> pp(aa_bool_bool(scratc100336135d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,X),Xa))))) # label(fact_def__lesseq) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 31 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706324_moreq,X),Xa)) <-> pp(aa_bool_bool(scratc100336135d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,X),Xa))))) # label(fact_def__moreq) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 32 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1921379518nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1837714885nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1921379518nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1837714885nd_den,X)))))) # label(fact_def__lessf) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 33 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1921379518nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1837714885nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1921379518nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1837714885nd_den,X)))))) # label(fact_def__moref) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 34 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1921379518nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1837714885nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1921379518nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1837714885nd_den,X)))))) # label(fact_def__n__eq) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 35 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1754835451eft_f2(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc918398959d_left(X,Xa,Xb),aa_TPTP_ind_TPTP_ind(scratc1754835450eft_f1(X,Xa,Xb),Xc))) # label(fact_def__left__f2) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 36 (all X all Xa all Xb scratc1754835450eft_f1(X,Xa,Xb) = scratc918398959d_left(X,Xb,Xa)) # label(fact_def__left__f1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 37 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1924324820_right(X,Xa,Xb),Xc) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1133920905_Sigma,aa_TPTP_ind_TPTP_ind(scratc719566192_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].
% 1.62/2.01 38 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc918398959d_left(X,Xa,Xb),Xc) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1133920905_Sigma,aa_TPTP_ind_TPTP_ind(scratc719566192_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].
% 1.62/2.01 39 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc893179352ght1to(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc1245779368d_outn(aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(X),aa_TPTP_ind_TPTP_ind(scratc1879612801nd_inn(Xa),Xb)))) # label(fact_def__right1to) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 40 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1637978109eft1to(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc1245779368d_outn(X),aa_TPTP_ind_TPTP_ind(scratc1879612801nd_inn(Xa),Xb))) # label(fact_def__left1to) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 41 (all X aa_TPTP_ind_TPTP_ind(scratc1779109790d_xout,X) = aa_TPTP_ind_TPTP_ind(scratc1245779368d_outn(X),X)) # label(fact_def__xout) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 42 (all X aa_TPTP_ind_TPTP_ind(scratc1091132153d_1out,X) = aa_TPTP_ind_TPTP_ind(scratc1245779368d_outn(X),scratc282061419nd_n_1)) # label(fact_def__d__1out) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 43 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1458249569air_q0(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2007612175_pair1(X),aa_TPTP_ind_TPTP_ind(scratc318352169first1(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc643863125econd1(X),Xa))) # label(fact_def__pair__q0) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 44 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc643863125econd1(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,Xa),scratc227979528d_n_2t)) # label(fact_def__second1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 45 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc318352169first1(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,Xa),scratc227913929d_n_1t)) # label(fact_def__first1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 46 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2007612175_pair1(X),Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1133920905_Sigma,aa_TPTP_ind_TPTP_ind(scratc719566192_d_1to,scratc282061420nd_n_2)),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ai(X),Xa),Xb))) # label(fact_def__pair1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 47 (all X aa_TPTP_ind_TPTP_ind(scratc604263049r1type,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1719206485d_d_Pi,aa_TPTP_ind_TPTP_ind(scratc719566192_d_1to,scratc282061420nd_n_2)),aTP_Lamm_aj(X))) # label(fact_def__pair1type) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 48 (all X scratc1879612801nd_inn(X) = scratc712927106d_e_in(scratc1920067545nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ak,X))) # label(fact_def__inn) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 49 (all X scratc1245779368d_outn(X) = scratc1929641030nd_out(scratc1920067545nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ak,X))) # label(fact_def__outn) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 50 (all X aa_TPTP_ind_TPTP_ind(scratc719566192_d_1to,X) = aa_fun1431113780TP_ind(scratc999473378_d_Sep(scratc1920067545nd_nat),aa_TPT43085870d_bool(aTP_Lamm_ak,X))) # label(fact_def__d__1to) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 51 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc231849863d_n_mn(X),Xa) = scratc1879612791nd_ind(scratc1920067545nd_nat,aa_TPT43085870d_bool(scratc304196016ffprop(X),Xa))) # label(fact_def__n__mn) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 52 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc602586424_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(X),Xa)),Xb)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(X),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Xa),Xb)))))) # label(fact_def__d__431__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 53 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc14224249_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(X),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Xa),Xb))),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(X),Xb)))))) # label(fact_def__d__430__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 54 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1767804207_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Xa),X))))) # label(fact_def__d__429__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 55 (all X scratc232309061d_n_ts(X) = aa_TPT1424761345TP_ind(scratc102231095bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2105341982_times,X))) # label(fact_def__n__ts) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 56 (all X aa_TPTP_ind_TPTP_ind(scratc2105341982_times,X) = scratc1879612791nd_ind(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1719206485d_d_Pi,scratc1920067545nd_nat),aTP_Lamm_al),aa_TPT43085870d_bool(scratc1179442033_prop2,X))) # label(fact_def__times) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 57 (all X aa_TPTP_ind_TPTP_ind(scratc196346793_428_g,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1133920905_Sigma,scratc1920067545nd_nat),aTP_Lamm_am(X))) # label(fact_def__d__428__g) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 58 (all X (pp(aa_TPTP_ind_bool(scratc1179442035_prop4,X)) <-> pp(aa_fun171081125l_bool(scratc1897569848l_some(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1719206485d_d_Pi,scratc1920067545nd_nat),aTP_Lamm_al)),aa_TPT43085870d_bool(scratc1179442033_prop2,X))))) # label(fact_def__d__428__prop4) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 59 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1179442033_prop2,X),Xa)) <-> pp(scratc1115724827_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,Xa),scratc282061419nd_n_1)),X),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1179442032_prop1,X),Xa))))) # label(fact_def__d__428__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 60 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1179442032_prop1,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc540698651_n_all,aa_TPT43085870d_bool(aTP_Lamm_ao(X),Xa))))) # label(fact_def__d__428__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 61 (all X all Xa (pp(aa_TPTP_ind_bool(scratc1912330826nd_min(X),Xa)) <-> pp(scratc1115724827_d_and(aa_TPTP_ind_bool(scratc231784252d_n_lb(X),Xa),aa_TPTP_ind_bool(X,Xa))))) # label(fact_def__min) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 62 (all X all Xa (pp(aa_TPTP_ind_bool(scratc231784252d_n_lb(X),Xa)) <-> pp(aa_fun171081125l_bool(scratc540698651_n_all,aa_TPT43085870d_bool(scratc1593616289lbprop(X),Xa))))) # label(fact_def__n__lb) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 63 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1593616289lbprop(X),Xa),Xb)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1879547204nd_imp,aa_TPTP_ind_bool(X,Xb)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,Xa),Xb))))) # label(fact_def__lbprop) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 64 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,X),Xa)) <-> pp(aa_bool_bool(scratc100336135d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,X),Xa))))) # label(fact_def__lessis) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 65 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,X),Xa)) <-> pp(aa_bool_bool(scratc100336135d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,X),Xa))))) # label(fact_def__moreis) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 66 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1881595115_prop1,X),Xa)) <-> pp(scratc1929444168nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,X),Xa),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,X),Xa),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,X),Xa))))) # label(fact_def__d__29__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 67 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc493910842n_some,aa_TPT43085870d_bool(scratc304196016ffprop(Xa),X))))) # label(fact_def__iii) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 68 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc493910842n_some,aa_TPT43085870d_bool(scratc304196016ffprop(X),Xa))))) # label(fact_def__d__29__ii) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 69 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc304196016ffprop(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,X),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Xa),Xb))))) # label(fact_def__diffprop) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 70 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293232940_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1920592336nd_nis,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(X),Xb))))) # label(fact_def__d__28__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 71 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc704870765_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1920592336nd_nis,Xa),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(X),Xa))))) # label(fact_def__d__27__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 72 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc116508590_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Xa),X))))) # label(fact_def__d__26__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 73 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1675630063_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(X),Xa)),Xb)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(X),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Xa),Xb)))))) # label(fact_def__d__25__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 74 (all X scratc232046658d_n_pl(X) = aa_TPT1424761345TP_ind(scratc102231095bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1952078626d_plus,X))) # label(fact_def__n__pl) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 75 (all X aa_TPTP_ind_TPTP_ind(scratc1952078626d_plus,X) = scratc1879612791nd_ind(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1719206485d_d_Pi,scratc1920067545nd_nat),aTP_Lamm_al),aa_TPT43085870d_bool(scratc1087267889_prop2,X))) # label(fact_def__plus) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 76 (all X aa_TPTP_ind_TPTP_ind(scratc1547062377d_24_g,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1133920905_Sigma,scratc1920067545nd_nat),aTP_Lamm_ap(X))) # label(fact_def__d__24__g) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 77 (all X (pp(aa_TPTP_ind_bool(scratc294646857_prop4,X)) <-> pp(aa_fun171081125l_bool(scratc1897569848l_some(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1719206485d_d_Pi,scratc1920067545nd_nat),aTP_Lamm_al)),aa_TPT43085870d_bool(scratc1087267889_prop2,X))))) # label(fact_def__prop4) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 78 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc294646856_prop3(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,X),Xb)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,Xa),Xb))))) # label(fact_def__prop3) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 79 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1087267889_prop2,X),Xa)) <-> pp(scratc1115724827_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,Xa),scratc282061419nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,X)),aa_TPTP_ind_bool(scratc1087267888_prop1,Xa))))) # label(fact_def__d__24__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 80 (all X (pp(aa_TPTP_ind_bool(scratc1087267888_prop1,X)) <-> pp(aa_fun171081125l_bool(scratc540698651_n_all,aa_TPT43085870d_bool(aTP_Lamm_aq,X))))) # label(fact_def__d__24__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 81 (all X (pp(aa_TPTP_ind_bool(scratc498905713_prop1,X)) <-> pp(aa_bool_bool(scratc100336135d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,X),scratc282061419nd_n_1)),aa_fun171081125l_bool(scratc493910842n_some,aa_TPT43085870d_bool(aTP_Lamm_ar,X)))))) # label(fact_def__d__23__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 82 (all X (pp(aa_TPTP_ind_bool(scratc2058027186_prop1,X)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1920592336nd_nis,aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,X)),X)))) # label(fact_def__d__22__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 83 (all X (pp(aa_TPTP_ind_bool(scratc309369992_cond2,X)) <-> pp(aa_fun171081125l_bool(scratc540698651_n_all,aa_TPT43085870d_bool(aTP_Lamm_as,X))))) # label(fact_def__cond2) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 84 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1920592336nd_nis,X),Xa)) <-> pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,X),Xa))))) # label(fact_def__nis) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 85 (all X all Xa all Xb all Xc all Xd scratc383083951indeq2(X,Xa,Xb,Xc,Xd) = aa_TPT1424761345TP_ind(scratc1988651843_indeq(X,Xa,Xb),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc213220141d_11_i(X,Xa,Xb),Xc),Xd))) # label(fact_def__indeq2) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 86 (all X all Xa all Xb scratc213220141d_11_i(X,Xa,Xb) = scratc1988651843_indeq(X,Xa,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1719206485d_d_Pi,X),aTP_Lamm_aj(Xb)))) # label(fact_def__d__11__i) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 87 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc599574102fixfu2(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc639425392all_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].
% 1.62/2.01 88 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1988651843_indeq(X,Xa,Xb),Xc),Xd) = scratc1879612791nd_ind(Xb,aa_TPT43085870d_bool(scratc294646855_prop2(X,Xa,Xb,Xc),Xd))) # label(fact_def__indeq) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 89 (all X all Xa all Xb all Xc all Xd all Xe (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc294646855_prop2(X,Xa,Xb,Xc),Xd),Xe)) <-> pp(aa_fun171081125l_bool(scratc1897569848l_some(X),aa_TPT43085870d_bool(scratc1634590515_prop1(X,Xa,Xb,Xc,Xd),Xe))))) # label(fact_def__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 90 (all X all Xa all Xb all Xc all Xd all Xe all Xf (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1634590515_prop1(X,Xa,Xb,Xc,Xd),Xe),Xf)) <-> pp(scratc1115724827_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2013318955d_esti(X),Xf),aa_TPTP_ind_TPTP_ind(scratc1736967696_ecect(X,Xa),Xd)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc712927111d_e_is(Xb),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,Xc),Xf)),Xe))))) # label(fact_def__d__10__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 91 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274769628_fixfu(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc639425392all_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].
% 1.62/2.01 92 (all X all Xa scratc1736967696_ecect(X,Xa) = scratc712927106d_e_in(aa_TPTP_ind_TPTP_ind(scratc165739421_power,X),scratc996162291d_anec(X,Xa))) # label(fact_def__ecect) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 93 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc996398751ectelt(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc1111600628ectset(X,Xa),aa_TPTP_ind_TPTP_ind(scratc1737558087_ecelt(X,Xa),Xb))) # label(fact_def__ectelt) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 94 (all X all Xa scratc1111600628ectset(X,Xa) = scratc1929641030nd_out(aa_TPTP_ind_TPTP_ind(scratc165739421_power,X),scratc996162291d_anec(X,Xa))) # label(fact_def__ectset) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 95 (all X all Xa scratc1845845198nd_ect(X,Xa) = aa_fun1431113780TP_ind(scratc999473378_d_Sep(aa_TPTP_ind_TPTP_ind(scratc165739421_power,X)),scratc996162291d_anec(X,Xa))) # label(fact_def__ect) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 96 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(scratc996162291d_anec(X,Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1897569848l_some(X),aa_TPT43085870d_bool(scratc1845845194nd_ecp(X,Xa),Xb))))) # label(fact_def__anec) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 97 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1845845194nd_ecp(X,Xa),Xb),Xc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc712927111d_e_is(aa_TPTP_ind_TPTP_ind(scratc165739421_power,X)),Xb),aa_TPTP_ind_TPTP_ind(scratc1737558087_ecelt(X,Xa),Xc))))) # label(fact_def__ecp) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 98 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1737558087_ecelt(X,Xa),Xb) = aa_fun1431113780TP_ind(scratc999473378_d_Sep(X),aa_TPT43085870d_bool(Xa,Xb))) # label(fact_def__ecelt) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 99 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1217717974unmore(X,Xa),Xb) = aa_fun1431113780TP_ind(scratc999473378_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].
% 1.62/2.01 100 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2044864309etprop(X,Xa),Xb),Xc)) <-> pp(scratc1115724827_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2013318955d_esti(X),Xc),Xa),scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2013318955d_esti(X),Xc),Xb)))))) # label(fact_def__nissetprop) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 101 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc714718757t_disj(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1813389561nd_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].
% 1.62/2.01 102 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc798277750d_incl(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1813389561nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_be(X),Xa),Xb))))) # label(fact_def__incl) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 103 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1455377704nempty,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1897569848l_some(X),aa_TPT43085870d_bool(aTP_Lamm_bf(X),Xa))))) # label(fact_def__nonempty) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 104 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1044896837_empty,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X)),scratc1920985925nd_non(X,aa_TPT43085870d_bool(aTP_Lamm_bf(X),Xa)))))) # label(fact_def__empty) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 105 (all X scratc2013318955d_esti(X) = scratc102755885bnd_in) # label(fact_def__esti) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 106 (all X all Xa (scratc494614920d_r_ec(X,Xa) <-> (pp(X) -> pp(scratc1223190007_d_not(Xa))))) # label(fact_def__r__ec) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 107 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(scratc1281741614hangef(X,Xa,Xb,Xc),Xd) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1133920905_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].
% 1.62/2.01 108 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc979627425wissel(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1133920905_Sigma,X),scratc1984233996sel_wb(X,Xa,Xb))) # label(fact_def__wissel) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 109 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1984233996sel_wb(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc1880006386nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc712927111d_e_is(X),Xc),Xb),X,Xa),aa_TPTP_ind_TPTP_ind(scratc1984233995sel_wa(X,Xa,Xb),Xc))) # label(fact_def__wissel__wb) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 110 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1984233995sel_wa(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc1880006386nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc712927111d_e_is(X),Xc),Xa),X,Xb),Xc)) # label(fact_def__wissel__wa) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 111 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1880006386nd_ite(X,Xa,Xb),Xc) = scratc1879612791nd_ind(Xa,aa_TPT43085870d_bool(scratc294646854_prop1(X,Xa,Xb),Xc))) # label(fact_def__ite) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 112 (all X all Xa all Xb all Xc all Xd (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc294646854_prop1(X,Xa,Xb),Xc),Xd)) <-> pp(scratc1115724827_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1879547204nd_imp,X),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc712927111d_e_is(Xa),Xd),Xb)),aa_bool_bool(aa_boo1142376798l_bool(scratc1879547204nd_imp,scratc1223190007_d_not(X)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc712927111d_e_is(Xa),Xd),Xc)))))) # label(fact_def__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 113 (all X all Xa scratc1738843356second(X,Xa) = scratc294253260_proj1) # label(fact_def__second) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 114 (all X all Xa scratc1226053384_first(X,Xa) = scratc294253259_proj0) # label(fact_def__first) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 115 (all X all Xa scratc759553526d_pair(X,Xa) = scratc1860414882d_pair) # label(fact_def__d__pair) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 116 (all X all Xa scratc1929641030nd_out(X,Xa) = scratc22673458d_soft(aa_fun1431113780TP_ind(scratc999473378_d_Sep(X),Xa),X,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1133920905_Sigma,aa_fun1431113780TP_ind(scratc999473378_d_Sep(X),Xa)),scratc712927106d_e_in(X,Xa)))) # label(fact_def__out) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 117 (all X all Xa all Xb (gg_TPTP_ind(Xb) -> aa_TPTP_ind_TPTP_ind(scratc712927106d_e_in(X,Xa),Xb) = Xb)) # label(fact_def__e__in) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 118 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(scratc720890091_inj_h(X,Xa,Xb,Xc),Xd) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1133920905_Sigma,X),aa_TPT1424761345TP_ind(aTP_Lamm_bh(Xc),Xd))) # label(fact_def__inj__h) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 119 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc799524125d_invf(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1133920905_Sigma,Xa),scratc22673458d_soft(X,Xa,Xb))) # label(fact_def__invf) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 120 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc593695325ective(X),Xa),Xb)) <-> pp(scratc1115724827_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc409976095ective(X),Xa),Xb),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1580609604ective(X),Xa),Xb))))) # label(fact_def__bijective) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 121 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1580609604ective(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1813389561nd_all(Xa),aa_TPT43085870d_bool(scratc1183411315_image(X,Xa),Xb))))) # label(fact_def__surjective) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 122 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1267782664nverse(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1133920905_Sigma,Xa),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_bi(X),Xa),Xb))) # label(fact_def__inverse) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 123 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc22673458d_soft(X,Xa,Xb),Xc) = scratc1879612791nd_ind(X,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bj(Xa),Xb),Xc))) # label(fact_def__soft) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 124 (all X all Xa scratc803260656d_tofs(X,Xa) = scratc102231095bnd_ap) # label(fact_def__tofs) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 125 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183411315_image(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc1897569848l_some(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bj(Xa),Xb),Xc))))) # label(fact_def__image) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 126 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc409976095ective(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1813389561nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bl(X),Xa),Xb))))) # label(fact_def__injective) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 127 (all X all Xa scratc1879612791nd_ind(X,Xa) = scratc1846697984nd_eps(aa_fun1584354236d_bool(aTP_Lamm_bm(X),Xa))) # label(fact_def__ind) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 128 (all X all Xa (pp(aa_fun171081125l_bool(scratc1929181822nd_one(X),Xa)) <-> pp(scratc1115724827_d_and(scratc772951858_amone(X,Xa),aa_fun171081125l_bool(scratc1897569848l_some(X),Xa))))) # label(fact_def__one) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 129 (all X all Xa (pp(scratc772951858_amone(X,Xa)) <-> pp(aa_fun171081125l_bool(scratc639425392all_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].
% 1.62/2.01 130 (all X scratc712927111d_e_is(X) = fequal_TPTP_ind) # label(fact_def__e__is) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 131 (all X all Xa all Xb (scratc1219098378_orec3(X,Xa,Xb) <-> pp(scratc1115724827_d_and(scratc1929444168nd_or3(X,Xa,Xb),scratc1845845133nd_ec3(X,Xa,Xb))))) # label(fact_def__orec3) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 132 (all X all Xa all Xb (pp(scratc1845845133nd_ec3(X,Xa,Xb)) <-> scratc996096644d_and3(scratc99680130d_l_ec(X,Xa),scratc99680130d_l_ec(Xa,Xb),scratc99680130d_l_ec(Xb,X)))) # label(fact_def__ec3) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 133 (all X all Xa all Xb (scratc996096644d_and3(X,Xa,Xb) <-> pp(scratc1115724827_d_and(X,scratc1115724827_d_and(Xa,Xb))))) # label(fact_def__and3) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 134 (all X all Xa all Xb (pp(scratc1929444168nd_or3(X,Xa,Xb)) <-> pp(aa_bool_bool(scratc100336135d_l_or(X),aa_bool_bool(scratc100336135d_l_or(Xa),Xb))))) # label(fact_def__or3) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 135 (all X all Xa (pp(aa_fun171081125l_bool(scratc1897569848l_some(X),Xa)) <-> pp(scratc1223190007_d_not(aa_fun171081125l_bool(scratc639425392all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X)),scratc1920985925nd_non(X,Xa)))))) # label(fact_def__l__some) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 136 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(scratc1920985925nd_non(X,Xa),Xb)) <-> pp(scratc1223190007_d_not(aa_TPTP_ind_bool(Xa,Xb))))) # label(fact_def__non) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 137 (all X scratc1813389561nd_all(X) = scratc639425392all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X))) # label(fact_def__all) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 138 (all X all Xa (scratc2009866277_l_iff(X,Xa) <-> pp(scratc1115724827_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1879547204nd_imp,X),Xa),aa_bool_bool(aa_boo1142376798l_bool(scratc1879547204nd_imp,Xa),X))))) # label(fact_def__l__iff) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 139 (all X all Xa (scratc1220010857d_orec(X,Xa) <-> pp(scratc1115724827_d_and(aa_bool_bool(scratc100336135d_l_or(X),Xa),scratc99680130d_l_ec(X,Xa))))) # label(fact_def__orec) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 140 (all X scratc100336135d_l_or(X) = aa_boo1142376798l_bool(scratc1879547204nd_imp,scratc1223190007_d_not(X))) # label(fact_def__l__or) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 141 (all X all Xa (pp(scratc1115724827_d_and(X,Xa)) <-> pp(scratc1223190007_d_not(scratc99680130d_l_ec(X,Xa))))) # label(fact_def__d__and) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 142 (all X all Xa (pp(scratc99680130d_l_ec(X,Xa)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1879547204nd_imp,X),scratc1223190007_d_not(Xa))))) # label(fact_def__l__ec) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 143 scratc2132865311bvious <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1879547204nd_imp,fFalse),fFalse)) # label(fact_def__obvious) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 144 (all X (scratc1994683478nd_wel(X) <-> pp(scratc1223190007_d_not(scratc1223190007_d_not(X))))) # label(fact_def__wel) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 145 (all X (pp(scratc1223190007_d_not(X)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1879547204nd_imp,X),fFalse)))) # label(fact_def__d__not) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 146 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1719206485d_d_Pi,X),Xa) = aa_fun1431113780TP_ind(scratc999473378_d_Sep(aa_TPTP_ind_TPTP_ind(scratc165739421_power,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1133920905_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].
% 1.62/2.01 147 (all X (gg_TPTP_ind(X) -> (pp(aa_TPTP_ind_bool(scratc1726284942pair_p,X)) <-> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1860414882d_pair,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,X),scratc1169782717ptyset)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,X),aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,scratc1169782717ptyset))) = X))) # label(fact_def__pair__p) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 148 (all X all Xa aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,X),Xa) = aa_fun277296641TP_ind(scratc460841235eplSep(X,aa_TPT43085870d_bool(aTP_Lamm_br,Xa)),scratc294253260_proj1)) # label(fact_def__ap) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 149 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1503458065etprod(X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1133920905_Sigma,X),aTP_Lamm_aj(Xa))) # label(fact_def__setprod) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 150 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1133920905_Sigma,X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1535223269munion,X),aTP_Lamm_bs(Xa))) # label(fact_def__d__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 151 (all X aa_TPTP_ind_TPTP_ind(scratc294253260_proj1,X) = aa_fun277296641TP_ind(scratc460841235eplSep(X,aTP_Lamm_bt),scratc1016586773_d_Unj)) # label(fact_def__proj1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 152 (all X aa_TPTP_ind_TPTP_ind(scratc294253259_proj0,X) = aa_fun277296641TP_ind(scratc460841235eplSep(X,aTP_Lamm_bu),scratc1016586773_d_Unj)) # label(fact_def__proj0) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 153 (all X all Xa aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1860414882d_pair,X),Xa) = aa_TPTP_ind_TPTP_ind(scratc381596720nunion(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307610839d_repl,X),scratc488888935d_Inj0)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307610839d_repl,Xa),scratc488888936d_Inj1))) # label(fact_def__pair) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 154 (all X aa_TPTP_ind_TPTP_ind(scratc488888935d_Inj0,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307610839d_repl,X),scratc488888936d_Inj1)) # label(fact_def__d__Inj0) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 155 (all X (pp(aa_TPTP_ind_bool(scratc2014913431_nat_p,X)) <-> (all X1 (pp(aa_TPTP_ind_bool(X1,scratc1169782717ptyset)) -> ((all X2 (gg_TPTP_ind(X2) -> (pp(aa_TPTP_ind_bool(X1,X2)) -> pp(aa_TPTP_ind_bool(X1,aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,X2)))))) -> pp(aa_TPTP_ind_bool(X1,X))))))) # label(fact_def__nat__p) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 156 (all X aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,X) = aa_TPTP_ind_TPTP_ind(scratc381596720nunion(X),aa_TPTP_ind_TPTP_ind(scratc1811264907d_Sing,X))) # label(fact_def__ordsucc) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 157 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc188604815In_rec(X),Xa) = scratc1846697984nd_eps(aa_TPT43085870d_bool(scratc477123128_rec_G(X),Xa))) # label(fact_def__d__In__rec) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 158 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc477123128_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(scratc102755885bnd_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].
% 1.62/2.01 159 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc297882262tminus(X),Xa) = aa_fun1431113780TP_ind(scratc999473378_d_Sep(X),aa_TPT43085870d_bool(aTP_Lamm_bx,Xa))) # label(fact_def__setminus) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 160 (all X all Xa scratc460841235eplSep(X,Xa) = aa_TPT494704832TP_ind(scratc1307610839d_repl,aa_fun1431113780TP_ind(scratc999473378_d_Sep(X),Xa))) # label(fact_def__d__ReplSep) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 161 (all X all Xa aa_fun1431113780TP_ind(scratc999473378_d_Sep(X),Xa) = aa_TPTP_ind_TPTP_ind(scratc102755877bnd_if(fEx_TPTP_ind(cOMBS_2003118649l_bool(cOMBB_658106424TP_ind(fconj,aa_TPT43085870d_bool(cOMBC_1555011498d_bool(scratc102755885bnd_in),X)),Xa)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307610839d_repl,X),aa_fun1235454963TP_ind(aTP_Lamm_by(X),Xa))),scratc1169782717ptyset)) # label(fact_def__d__Sep) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 162 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1535223269munion,X),Xa) = aa_TPTP_ind_TPTP_ind(scratc673001287_union,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307610839d_repl,X),Xa))) # label(fact_def__famunion) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 163 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc381596720nunion(X),Xa) = aa_TPTP_ind_TPTP_ind(scratc673001287_union,aa_TPTP_ind_TPTP_ind(scratc1028407283_UPair(X),Xa))) # label(fact_def__binunion) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 164 (all X aa_TPTP_ind_TPTP_ind(scratc1811264907d_Sing,X) = aa_TPTP_ind_TPTP_ind(scratc1028407283_UPair(X),X)) # label(fact_def__d__Sing) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 165 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1028407283_UPair(X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307610839d_repl,aa_TPTP_ind_TPTP_ind(scratc165739421_power,aa_TPTP_ind_TPTP_ind(scratc165739421_power,scratc1169782717ptyset))),aa_TPT1424761345TP_ind(aTP_Lamm_bz(X),Xa))) # label(fact_def__d__UPair) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 166 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1918493163nd_nIn,X),Xa)) <-> -pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X),Xa)))) # label(fact_def__nIn) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 167 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc102755877bnd_if(X,Xa),Xb) = scratc1846697984nd_eps(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ca(X),Xa),Xb))) # label(fact_def__if) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 168 (all X (pp(aa_TPTP_ind_bool(scratc775647028closed,X)) <-> pp(aa_TPTP_ind_bool(scratc335317087closed,X)) & pp(aa_TPTP_ind_bool(scratc500050101closed,X)) & pp(aa_TPTP_ind_bool(scratc215026647closed,X)))) # label(fact_def__d__ZF__closed) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 169 (all X (pp(aa_TPTP_ind_bool(scratc215026647closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X1),X)) -> (all X2 ((all X3 (gg_TPTP_ind(X3) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X3),X1)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,aa_TPTP_ind_TPTP_ind(X2,X3)),X))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307610839d_repl,X1),X2)),X))))))))) # label(fact_def__d__Repl__closed) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 170 (all X (pp(aa_TPTP_ind_bool(scratc500050101closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X1),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,aa_TPTP_ind_TPTP_ind(scratc165739421_power,X1)),X))))))) # label(fact_def__d__Power__closed) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 171 (all X (pp(aa_TPTP_ind_bool(scratc335317087closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X1),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,aa_TPTP_ind_TPTP_ind(scratc673001287_union,X1)),X))))))) # label(fact_def__d__Union__closed) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 172 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1909615789d_Subq,X),Xa)) <-> (all X2 (gg_TPTP_ind(X2) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X2),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X2),Xa))))))) # label(fact_def__d__Subq) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 173 (all X all Xa (pp(aa_fun171081125l_bool(scratc639425392all_of(X),Xa)) <-> (all X2 (gg_TPTP_ind(X2) -> (scratc2128269225_is_of(X2,X) -> pp(aa_TPTP_ind_bool(Xa,X2))))))) # label(fact_def__all__of) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 174 (all X all Xa (scratc2128269225_is_of(X,Xa) <-> pp(aa_TPTP_ind_bool(Xa,X)))) # label(fact_def__is__of) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 175 (all X0 (pp(aa_fun171081125l_bool(scratc493910842n_some,X0)) -> pp(aa_fun171081125l_bool(scratc656490912_n_one,scratc1912330826nd_min(X0))))) # label(fact_satz27a) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 176 (all X0 (pp(aa_fun171081125l_bool(scratc493910842n_some,X0)) -> pp(aa_fun171081125l_bool(scratc493910842n_some,scratc1912330826nd_min(X0))))) # label(fact_satz27) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 177 (all X0 pp(aa_fun171081125l_bool(scratc639425392all_of(aa_TPT43085870d_bool(aTP_Lamm_abl,X0)),aa_TPT43085870d_bool(aTP_Lamm_abn,X0)))) # label(fact_isseti) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 178 (all X0 all X12 pp(aa_fun171081125l_bool(scratc639425392all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_fun1584354236d_bool(aTP_Lamm_abo(X0),X12)))) # label(fact_estie) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 179 (all X0 all X12 pp(aa_fun171081125l_bool(scratc639425392all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_fun1584354236d_bool(aTP_Lamm_abp(X0),X12)))) # label(fact_estii) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 180 (all X0 all X12 scratc2128269225_is_of(aa_fun1431113780TP_ind(scratc999473378_d_Sep(X0),X12),aa_TPT43085870d_bool(aTP_Lamm_abl,X0))) # label(fact_setof__p) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 181 (all X0 all X12 pp(aa_fun171081125l_bool(scratc639425392all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_TPT43085870d_bool(aTP_Lamm_abr(X0),X12)))) # label(fact_secondis1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 182 (all X0 all X12 pp(aa_fun171081125l_bool(scratc639425392all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_TPT43085870d_bool(aTP_Lamm_abt(X0),X12)))) # label(fact_firstis1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 183 (all X0 all X12 pp(aa_fun171081125l_bool(scratc639425392all_of(aa_TPT43085870d_bool(aTP_Lamm_abu(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_abv(X0),X12)))) # label(fact_pairis1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 184 (all X0 all X12 pp(aa_fun171081125l_bool(scratc639425392all_of(aa_TPT43085870d_bool(aTP_Lamm_abu(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_abw(X0),X12)))) # label(fact_second__p) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 185 (all X0 all X12 pp(aa_fun171081125l_bool(scratc639425392all_of(aa_TPT43085870d_bool(aTP_Lamm_abu(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_abx(X0),X12)))) # label(fact_first__p) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 186 (all X0 all X12 pp(aa_fun171081125l_bool(scratc639425392all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_TPT43085870d_bool(aTP_Lamm_abz(X0),X12)))) # label(fact_e__pair__p) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 187 (all X0 all X12 pp(aa_fun171081125l_bool(scratc639425392all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_fun1584354236d_bool(aTP_Lamm_aca(X0),X12)))) # label(fact_otax2) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 188 (all X0 all X12 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc409976095ective(aa_fun1431113780TP_ind(scratc999473378_d_Sep(X0),X12)),X0),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1133920905_Sigma,aa_fun1431113780TP_ind(scratc999473378_d_Sep(X0),X12)),scratc712927106d_e_in(X0,X12))))) # label(fact_otax1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 189 (all X0 all X12 pp(aa_fun171081125l_bool(scratc639425392all_of(aa_fun1584354236d_bool(aTP_Lamm_acb(X0),X12)),aa_fun1584354236d_bool(aTP_Lamm_acc(X0),X12)))) # label(fact_e__inp) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 190 (all X0 all X12 pp(aa_fun171081125l_bool(scratc639425392all_of(aa_fun1584354236d_bool(aTP_Lamm_acb(X0),X12)),aa_fun1584354236d_bool(aTP_Lamm_acd(X0),X12)))) # label(fact_e__in__p) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 191 (all X0 all X12 pp(aa_fun171081125l_bool(scratc639425392all_of(aa_TPT43085870d_bool(aTP_Lamm_ace(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_ach(X0),X12)))) # label(fact_e__fisi) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 192 (all X0 all X12 (pp(aa_fun171081125l_bool(scratc1929181822nd_one(X0),X12)) -> pp(aa_TPTP_ind_bool(X12,scratc1879612791nd_ind(X0,X12))))) # label(fact_oneax) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 193 (all X0 all X12 (pp(aa_fun171081125l_bool(scratc1929181822nd_one(X0),X12)) -> scratc2128269225_is_of(scratc1879612791nd_ind(X0,X12),aa_TPT43085870d_bool(aTP_Lamm_au,X0)))) # label(fact_ind__p) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 194 (all X0 all X12 pp(aa_fun171081125l_bool(scratc639425392all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_fun1584354236d_bool(aTP_Lamm_acj(X0),X12)))) # label(fact_e__isp) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 195 (all X0 pp(aa_fun171081125l_bool(scratc639425392all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_TPT43085870d_bool(aTP_Lamm_ack,X0)))) # label(fact_refis) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 196 (all X0 (scratc1994683478nd_wel(X0) -> pp(X0))) # label(fact_l__et) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 197 (all X0 all X12 all X22 all X32 (pp(X0) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc102755877bnd_if(X0,X22),X32))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X12),X22))))) # label(fact_k__If__In__then__E) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 198 (all X0 all X12 all X22 ((pp(X0) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X12),X22))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,aa_TPTP_ind_TPTP_ind(scratc102755877bnd_if(X0,X12),scratc1169782717ptyset)),aa_TPTP_ind_TPTP_ind(scratc102755877bnd_if(X0,X22),aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,scratc1169782717ptyset)))))) # label(fact_k__If__In__01) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 199 (all X0 all X12 all X22 ((all X33 (gg_TPTP_ind(X33) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X33),X0)) -> aa_TPTP_ind_TPTP_ind(X12,X33) = aa_TPTP_ind_TPTP_ind(X22,X33)))) -> aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1133920905_Sigma,X0),X12) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1133920905_Sigma,X0),X22))) # label(fact_xi__ext) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 200 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1719206485d_d_Pi,X0),X12))) -> (all X32 (gg_TPTP_ind(X32) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X32),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1719206485d_d_Pi,X0),X12))) -> ((all X42 (gg_TPTP_ind(X42) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X42),X0)) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,X22),X42) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,X32),X42)))) -> X22 = X32))))))) # label(fact_k__Pi__ext) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 201 (all X0 all X12 all X22 all X32 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1719206485d_d_Pi,X0),X12))) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X32),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,X22),X32)),aa_TPTP_ind_TPTP_ind(X12,X32)))))) # label(fact_ap__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 202 (all X0 all X12 all X22 ((all X33 (gg_TPTP_ind(X33) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X33),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,aa_TPTP_ind_TPTP_ind(X22,X33)),aa_TPTP_ind_TPTP_ind(X12,X33)))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1133920905_Sigma,X0),X22)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1719206485d_d_Pi,X0),X12))))) # label(fact_lam__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 203 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X22),X0)) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1133920905_Sigma,X0),X12)),X22) = aa_TPTP_ind_TPTP_ind(X12,X22))) # label(fact_beta) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 204 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1133920905_Sigma,X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,aa_TPTP_ind_TPTP_ind(scratc294253260_proj1,X22)),aa_TPTP_ind_TPTP_ind(X12,aa_TPTP_ind_TPTP_ind(scratc294253259_proj0,X22)))))) # label(fact_proj1__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 205 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1133920905_Sigma,X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,aa_TPTP_ind_TPTP_ind(scratc294253259_proj0,X22)),X0)))) # label(fact_proj0__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 206 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1133920905_Sigma,X0),X12))) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1860414882d_pair,aa_TPTP_ind_TPTP_ind(scratc294253259_proj0,X22)),aa_TPTP_ind_TPTP_ind(scratc294253260_proj1,X22)) = X22))) # label(fact_proj__Sigma__eta) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 207 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1133920905_Sigma,X0),X12))) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1860414882d_pair,aa_TPTP_ind_TPTP_ind(scratc294253259_proj0,X22)),aa_TPTP_ind_TPTP_ind(scratc294253260_proj1,X22)) = X22 & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,aa_TPTP_ind_TPTP_ind(scratc294253259_proj0,X22)),X0)) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,aa_TPTP_ind_TPTP_ind(scratc294253260_proj1,X22)),aa_TPTP_ind_TPTP_ind(X12,aa_TPTP_ind_TPTP_ind(scratc294253259_proj0,X22))))))) # label(fact_k__Sigma__eta__proj0__proj1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 208 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X22),X0)) -> (all X32 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X32),aa_TPTP_ind_TPTP_ind(X12,X22))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1860414882d_pair,X22),X32)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1133920905_Sigma,X0),X12))))))) # label(fact_pair__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 209 (all X0 all X12 (gg_TPTP_ind(X12) -> aa_TPTP_ind_TPTP_ind(scratc294253260_proj1,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1860414882d_pair,X0),X12)) = X12)) # label(fact_proj1__pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 210 (all X0 all X12 (gg_TPTP_ind(X0) -> aa_TPTP_ind_TPTP_ind(scratc294253259_proj0,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1860414882d_pair,X0),X12)) = X0)) # label(fact_proj0__pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 211 (all X0 (pp(aa_TPTP_ind_bool(scratc2014913431_nat_p,X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X0),scratc1611392121_omega)))) # label(fact_nat__p__omega) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 212 (all X0 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X0),scratc1611392121_omega)) -> pp(aa_TPTP_ind_bool(scratc2014913431_nat_p,X0)))) # label(fact_omega__nat__p) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 213 (all X0 (gg_TPTP_ind(X0) -> (pp(aa_TPTP_ind_bool(scratc2014913431_nat_p,X0)) -> X0 = scratc1169782717ptyset | (exists X13 (gg_TPTP_ind(X13) & pp(aa_TPTP_ind_bool(scratc2014913431_nat_p,X13)) & X0 = aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,X13)))))) # label(fact_nat__inv) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 214 (all X0 (pp(aa_TPTP_ind_bool(X0,scratc1169782717ptyset)) -> ((all X13 (gg_TPTP_ind(X13) -> (pp(aa_TPTP_ind_bool(scratc2014913431_nat_p,X13)) -> (pp(aa_TPTP_ind_bool(X0,X13)) -> pp(aa_TPTP_ind_bool(X0,aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,X13))))))) -> (all X12 (pp(aa_TPTP_ind_bool(scratc2014913431_nat_p,X12)) -> pp(aa_TPTP_ind_bool(X0,X12))))))) # label(fact_nat__ind) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 215 (all X0 (pp(aa_TPTP_ind_bool(scratc2014913431_nat_p,X0)) -> pp(aa_TPTP_ind_bool(scratc2014913431_nat_p,aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,X0))))) # label(fact_nat__ordsucc) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 216 (all X0 all X12 (gg_TPTP_ind(X0) & gg_TPTP_ind(X12) -> (aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,X0) = aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,X12) -> X0 = X12))) # label(fact_ordsucc__inj) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 217 (all X0 aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,X0) != scratc1169782717ptyset) # label(fact_neq__ordsucc__0) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 218 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X22),aa_fun1431113780TP_ind(scratc999473378_d_Sep(X0),X12))) -> pp(aa_TPTP_ind_bool(X12,X22)))) # label(fact_k__SepE2) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 219 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X22),aa_fun1431113780TP_ind(scratc999473378_d_Sep(X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X22),X0)))) # label(fact_k__SepE1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 220 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X22),X0)) -> (pp(aa_TPTP_ind_bool(X12,X22)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X22),aa_fun1431113780TP_ind(scratc999473378_d_Sep(X0),X12)))))) # label(fact_k__SepI) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 221 (all X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X0),aa_TPTP_ind_TPTP_ind(scratc165739421_power,X0)))) # label(fact_k__Self__In__Power) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 222 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1909615789d_Subq,X12),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc165739421_power,X0))))) # label(fact_k__PowerI) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 223 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc165739421_power,X0))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1909615789d_Subq,X12),X0)))) # label(fact_k__PowerE) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 224 (all X0 all X12 all X22 (gg_TPTP_ind(X12) & gg_TPTP_ind(X22) -> aa_TPTP_ind_TPTP_ind(scratc102755877bnd_if(X0,X12),X22) = X12 | aa_TPTP_ind_TPTP_ind(scratc102755877bnd_if(X0,X12),X22) = X22)) # label(fact_if__i__or) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 225 (all X0 all X12 all X22 (gg_TPTP_ind(X12) -> (pp(X0) -> aa_TPTP_ind_TPTP_ind(scratc102755877bnd_if(X0,X12),X22) = X12))) # label(fact_if__i__1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 226 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (-pp(X0) -> aa_TPTP_ind_TPTP_ind(scratc102755877bnd_if(X0,X12),X22) = X22))) # label(fact_if__i__0) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 227 (all X0 all X12 all X22 (gg_TPTP_ind(X12) & gg_TPTP_ind(X22) -> pp(X0) & aa_TPTP_ind_TPTP_ind(scratc102755877bnd_if(X0,X12),X22) = X12 | -pp(X0) & aa_TPTP_ind_TPTP_ind(scratc102755877bnd_if(X0,X12),X22) = X22)) # label(fact_if__i__correct) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 228 (all X0 pp(aa_TPTP_ind_bool(scratc775647028closed,aa_TPTP_ind_TPTP_ind(scratc300486565univof,X0)))) # label(fact_k__UnivOf__ZF__closed) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 229 (all X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X0),aa_TPTP_ind_TPTP_ind(scratc300486565univof,X0)))) # label(fact_k__UnivOf__In) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 230 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307610839d_repl,X0),X12))) <-> (exists X3 (gg_TPTP_ind(X3) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X3),X0)) & X22 = aa_TPTP_ind_TPTP_ind(X12,X3)))))) # label(fact_k__ReplEq) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 231 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc165739421_power,X0))) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1909615789d_Subq,X12),X0)))) # label(fact_k__PowerEq) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 232 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc673001287_union,X0))) <-> (exists X2 (gg_TPTP_ind(X2) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X12),X2)) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X2),X0)))))) # label(fact_k__UnionEq) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 233 -(exists X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,X0),scratc1169782717ptyset))) # label(fact_k__EmptyAx) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 234 (all X0 ((all X13 (gg_TPTP_ind(X13) -> ((all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_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].
% 1.62/2.01 235 (all X0 all X12 (gg_TPTP_ind(X0) & gg_TPTP_ind(X12) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1909615789d_Subq,X0),X12)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1909615789d_Subq,X12),X0)) -> X0 = X12)))) # label(fact_set__ext) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 236 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aba,Uu)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1920592336nd_nis,Uu),scratc282061419nd_n_1)) -> pp(aa_fun171081125l_bool(scratc493910842n_some,aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)))))) # label(fact_ATP_Olambda__1) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 237 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aaz,Uu)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1920592336nd_nis,Uu),scratc282061419nd_n_1)) -> pp(aa_fun171081125l_bool(scratc656490912_n_one,aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)))))) # label(fact_ATP_Olambda__2) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 238 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aaw,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),scratc282061419nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uu))))) # label(fact_ATP_Olambda__3) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 239 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sy,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),scratc282061419nd_n_1)),Uu)))) # label(fact_ATP_Olambda__4) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 240 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aat,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(scratc282061419nd_n_1),Uu)),aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uu))))) # label(fact_ATP_Olambda__5) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 241 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sv,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(scratc282061419nd_n_1),Uu)),Uu)))) # label(fact_ATP_Olambda__6) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 242 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aay,Uu)) <-> pp(aa_fun171081125l_bool(scratc1929181822nd_one(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1719206485d_d_Pi,scratc1920067545nd_nat),aTP_Lamm_al)),aa_TPT43085870d_bool(aTP_Lamm_aax,Uu))))) # label(fact_ATP_Olambda__7) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.01 243 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ta,Uu)) <-> pp(aa_fun171081125l_bool(scratc1929181822nd_one(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1719206485d_d_Pi,scratc1920067545nd_nat),aTP_Lamm_al)),aa_TPT43085870d_bool(aTP_Lamm_sz,Uu))))) # label(fact_ATP_Olambda__8) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 244 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_abg,Uu)) <-> (pp(aa_TPTP_ind_bool(scratc309369991_cond1,Uu)) -> (pp(aa_TPTP_ind_bool(scratc309369992_cond2,Uu)) -> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_abf,Uu))))))) # label(fact_ATP_Olambda__9) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 245 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aaq,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),scratc282061419nd_n_1))))) # label(fact_ATP_Olambda__10) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 246 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aan,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(scratc282061419nd_n_1),Uu))))) # label(fact_ATP_Olambda__11) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 247 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xn,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uu)),Uu)))) # label(fact_ATP_Olambda__12) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 248 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_abb,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1920592336nd_nis,aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uu)),Uu)))) # label(fact_ATP_Olambda__13) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 249 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_abk,Uu)) <-> scratc2128269225_is_of(aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uu),aTP_Lamm_lc))) # label(fact_ATP_Olambda__14) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 250 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ts,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uu)),scratc282061419nd_n_1)))) # label(fact_ATP_Olambda__15) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 251 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_abj,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1920592336nd_nis,aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uu)),scratc282061419nd_n_1)))) # label(fact_ATP_Olambda__16) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 252 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ss,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),scratc282061419nd_n_1))))) # label(fact_ATP_Olambda__17) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 253 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sp,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(scratc282061419nd_n_1),Uu))))) # label(fact_ATP_Olambda__18) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 254 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xm,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uu),aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uu))))) # label(fact_ATP_Olambda__19) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 255 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_abe,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,Uu),aa_TPTP_ind_TPTP_ind(scratc165739421_power,scratc1920067545nd_nat))))) # label(fact_ATP_Olambda__20) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 256 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cy,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc173054068_rt_is,Uu),Uu)))) # label(fact_ATP_Olambda__21) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 257 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ov,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),Uu)))) # label(fact_ATP_Olambda__22) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 258 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tt,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,Uu),scratc282061419nd_n_1)))) # label(fact_ATP_Olambda__23) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 259 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cz,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,Uu),scratc636914614d_frac)))) # label(fact_ATP_Olambda__24) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 260 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_a,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,Uu),scratc1953113565nd_rat)))) # label(fact_ATP_Olambda__25) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 261 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lc,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,Uu),scratc1920067545nd_nat)))) # label(fact_ATP_Olambda__26) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 262 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_abi,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_abh,Uu))))) # label(fact_ATP_Olambda__27) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 263 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_abd,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_abc,Uu))))) # label(fact_ATP_Olambda__28) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 264 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aav,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_aau,Uu))))) # label(fact_ATP_Olambda__29) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 265 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aas,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_aar,Uu))))) # label(fact_ATP_Olambda__30) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 266 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aap,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_aao,Uu))))) # label(fact_ATP_Olambda__31) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 267 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aam,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_aal,Uu))))) # label(fact_ATP_Olambda__32) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 268 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aak,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_aaj,Uu))))) # label(fact_ATP_Olambda__33) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 269 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aah,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_aag,Uu))))) # label(fact_ATP_Olambda__34) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 270 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aaf,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_aae,Uu))))) # label(fact_ATP_Olambda__35) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 271 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aad,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_aac,Uu))))) # label(fact_ATP_Olambda__36) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 272 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aaa,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_zz,Uu))))) # label(fact_ATP_Olambda__37) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 273 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zx,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_zw,Uu))))) # label(fact_ATP_Olambda__38) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 274 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zv,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_zu,Uu))))) # label(fact_ATP_Olambda__39) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 275 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zr,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_zq,Uu))))) # label(fact_ATP_Olambda__40) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 276 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zp,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_zo,Uu))))) # label(fact_ATP_Olambda__41) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 277 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zn,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_zm,Uu))))) # label(fact_ATP_Olambda__42) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 278 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zl,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_zk,Uu))))) # label(fact_ATP_Olambda__43) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 279 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zj,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_zi,Uu))))) # label(fact_ATP_Olambda__44) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 280 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zh,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_zg,Uu))))) # label(fact_ATP_Olambda__45) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 281 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zf,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_ze,Uu))))) # label(fact_ATP_Olambda__46) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 282 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zd,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_zc,Uu))))) # label(fact_ATP_Olambda__47) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 283 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zb,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_za,Uu))))) # label(fact_ATP_Olambda__48) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 284 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yz,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_yy,Uu))))) # label(fact_ATP_Olambda__49) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 285 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yx,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_yw,Uu))))) # label(fact_ATP_Olambda__50) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 286 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yv,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_yu,Uu))))) # label(fact_ATP_Olambda__51) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 287 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yt,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_ys,Uu))))) # label(fact_ATP_Olambda__52) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 288 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yr,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_yq,Uu))))) # label(fact_ATP_Olambda__53) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 289 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yp,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_yo,Uu))))) # label(fact_ATP_Olambda__54) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 290 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yn,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_ym,Uu))))) # label(fact_ATP_Olambda__55) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 291 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yl,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_yk,Uu))))) # label(fact_ATP_Olambda__56) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 292 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yj,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_yi,Uu))))) # label(fact_ATP_Olambda__57) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 293 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yg,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_yf,Uu))))) # label(fact_ATP_Olambda__58) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 294 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yd,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_yc,Uu))))) # label(fact_ATP_Olambda__59) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 295 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ya,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_xz,Uu))))) # label(fact_ATP_Olambda__60) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 296 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xx,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_xw,Uu))))) # label(fact_ATP_Olambda__61) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 297 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xu,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_xt,Uu))))) # label(fact_ATP_Olambda__62) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 298 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xr,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_xq,Uu))))) # label(fact_ATP_Olambda__63) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 299 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xp,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_xo,Uu))))) # label(fact_ATP_Olambda__64) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 300 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xl,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_xk,Uu))))) # label(fact_ATP_Olambda__65) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 301 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xi,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_xh,Uu))))) # label(fact_ATP_Olambda__66) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 302 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xf,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_xe,Uu))))) # label(fact_ATP_Olambda__67) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 303 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xc,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_xb,Uu))))) # label(fact_ATP_Olambda__68) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 304 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wz,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_wy,Uu))))) # label(fact_ATP_Olambda__69) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 305 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ww,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_wv,Uu))))) # label(fact_ATP_Olambda__70) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 306 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wt,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_ws,Uu))))) # label(fact_ATP_Olambda__71) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 307 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wp,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_wo,Uu))))) # label(fact_ATP_Olambda__72) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 308 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wl,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_wk,Uu))))) # label(fact_ATP_Olambda__73) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 309 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wh,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_wg,Uu))))) # label(fact_ATP_Olambda__74) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 310 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wd,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_wc,Uu))))) # label(fact_ATP_Olambda__75) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 311 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wa,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_vz,Uu))))) # label(fact_ATP_Olambda__76) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 312 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vx,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_vw,Uu))))) # label(fact_ATP_Olambda__77) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 313 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vu,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_vt,Uu))))) # label(fact_ATP_Olambda__78) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 314 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vr,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_vq,Uu))))) # label(fact_ATP_Olambda__79) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 315 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vo,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_vn,Uu))))) # label(fact_ATP_Olambda__80) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 316 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vl,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_vk,Uu))))) # label(fact_ATP_Olambda__81) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 317 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vi,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_vh,Uu))))) # label(fact_ATP_Olambda__82) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 318 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vf,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_ve,Uu))))) # label(fact_ATP_Olambda__83) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 319 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vc,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_vb,Uu))))) # label(fact_ATP_Olambda__84) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 320 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_uz,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_uy,Uu))))) # label(fact_ATP_Olambda__85) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 321 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_uv,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_uu,Uu))))) # label(fact_ATP_Olambda__86) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 322 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ur,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_uq,Uu))))) # label(fact_ATP_Olambda__87) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 323 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_un,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_um,Uu))))) # label(fact_ATP_Olambda__88) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 324 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_uj,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_ui,Uu))))) # label(fact_ATP_Olambda__89) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 325 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_uf,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_ue,Uu))))) # label(fact_ATP_Olambda__90) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 326 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ub,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_ua,Uu))))) # label(fact_ATP_Olambda__91) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 327 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tx,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_tw,Uu))))) # label(fact_ATP_Olambda__92) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 328 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tq,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_tp,Uu))))) # label(fact_ATP_Olambda__93) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 329 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_to,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_tn,Uu))))) # label(fact_ATP_Olambda__94) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 330 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tm,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_tl,Uu))))) # label(fact_ATP_Olambda__95) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 331 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tk,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_tj,Uu))))) # label(fact_ATP_Olambda__96) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 332 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ti,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_th,Uu))))) # label(fact_ATP_Olambda__97) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 333 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tg,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_tf,Uu))))) # label(fact_ATP_Olambda__98) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 334 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_te,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_td,Uu))))) # label(fact_ATP_Olambda__99) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 335 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tc,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_tb,Uu))))) # label(fact_ATP_Olambda__100) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 336 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sx,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_sw,Uu))))) # label(fact_ATP_Olambda__101) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 337 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_su,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_st,Uu))))) # label(fact_ATP_Olambda__102) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 338 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sr,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_sq,Uu))))) # label(fact_ATP_Olambda__103) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 339 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_so,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_sn,Uu))))) # label(fact_ATP_Olambda__104) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 340 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sm,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_sl,Uu))))) # label(fact_ATP_Olambda__105) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 341 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sk,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_sj,Uu))))) # label(fact_ATP_Olambda__106) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 342 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sh,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_sg,Uu))))) # label(fact_ATP_Olambda__107) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 343 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_se,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_sd,Uu))))) # label(fact_ATP_Olambda__108) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 344 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sb,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_sa,Uu))))) # label(fact_ATP_Olambda__109) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 345 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ry,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_rx,Uu))))) # label(fact_ATP_Olambda__110) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 346 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rv,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_ru,Uu))))) # label(fact_ATP_Olambda__111) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 347 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rs,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_rr,Uu))))) # label(fact_ATP_Olambda__112) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 348 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rp,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_ro,Uu))))) # label(fact_ATP_Olambda__113) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 349 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rm,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_rl,Uu))))) # label(fact_ATP_Olambda__114) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 350 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ri,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_rh,Uu))))) # label(fact_ATP_Olambda__115) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 351 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_re,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_rd,Uu))))) # label(fact_ATP_Olambda__116) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 352 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ra,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_qz,Uu))))) # label(fact_ATP_Olambda__117) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 353 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qw,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_qv,Uu))))) # label(fact_ATP_Olambda__118) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 354 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qt,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_qs,Uu))))) # label(fact_ATP_Olambda__119) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 355 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qq,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_qp,Uu))))) # label(fact_ATP_Olambda__120) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 356 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qn,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_qm,Uu))))) # label(fact_ATP_Olambda__121) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 357 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qk,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_qj,Uu))))) # label(fact_ATP_Olambda__122) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 358 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qh,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_qg,Uu))))) # label(fact_ATP_Olambda__123) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 359 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qe,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_qd,Uu))))) # label(fact_ATP_Olambda__124) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 360 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qb,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_qa,Uu))))) # label(fact_ATP_Olambda__125) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 361 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_px,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_pw,Uu))))) # label(fact_ATP_Olambda__126) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 362 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pt,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_ps,Uu))))) # label(fact_ATP_Olambda__127) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 363 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pp,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_po,Uu))))) # label(fact_ATP_Olambda__128) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 364 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pl,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_pk,Uu))))) # label(fact_ATP_Olambda__129) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 365 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ph,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_pg,Uu))))) # label(fact_ATP_Olambda__130) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 366 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pd,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_pc,Uu))))) # label(fact_ATP_Olambda__131) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 367 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oz,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_oy,Uu))))) # label(fact_ATP_Olambda__132) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 368 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_op,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_oo,Uu))))) # label(fact_ATP_Olambda__133) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 369 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_on,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_om,Uu))))) # label(fact_ATP_Olambda__134) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 370 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ol,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_ok,Uu))))) # label(fact_ATP_Olambda__135) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 371 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oi,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_oh,Uu))))) # label(fact_ATP_Olambda__136) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 372 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_li,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_lh,Uu))))) # label(fact_ATP_Olambda__137) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 373 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lf,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_le,Uu))))) # label(fact_ATP_Olambda__138) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 374 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ou,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ot,Uu))))) # label(fact_ATP_Olambda__139) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 375 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_os,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_or,Uu))))) # label(fact_ATP_Olambda__140) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 376 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_of,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_oe,Uu))))) # label(fact_ATP_Olambda__141) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 377 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_od,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_oc,Uu))))) # label(fact_ATP_Olambda__142) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 378 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ob,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_oa,Uu))))) # label(fact_ATP_Olambda__143) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 379 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nz,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ny,Uu))))) # label(fact_ATP_Olambda__144) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 380 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nx,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_nw,Uu))))) # label(fact_ATP_Olambda__145) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 381 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nv,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_nu,Uu))))) # label(fact_ATP_Olambda__146) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 382 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nr,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_nq,Uu))))) # label(fact_ATP_Olambda__147) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 383 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nn,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_nm,Uu))))) # label(fact_ATP_Olambda__148) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 384 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nl,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_nk,Uu))))) # label(fact_ATP_Olambda__149) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 385 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nj,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ni,Uu))))) # label(fact_ATP_Olambda__150) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 386 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nh,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ng,Uu))))) # label(fact_ATP_Olambda__151) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 387 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nf,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ne,Uu))))) # label(fact_ATP_Olambda__152) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 388 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nd,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_nc,Uu))))) # label(fact_ATP_Olambda__153) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 389 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nb,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_na,Uu))))) # label(fact_ATP_Olambda__154) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 390 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mz,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_my,Uu))))) # label(fact_ATP_Olambda__155) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 391 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mx,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_mw,Uu))))) # label(fact_ATP_Olambda__156) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 392 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mt,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ms,Uu))))) # label(fact_ATP_Olambda__157) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 393 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mp,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_mo,Uu))))) # label(fact_ATP_Olambda__158) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 394 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mn,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_mm,Uu))))) # label(fact_ATP_Olambda__159) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 395 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ml,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_mk,Uu))))) # label(fact_ATP_Olambda__160) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 396 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mi,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_mh,Uu))))) # label(fact_ATP_Olambda__161) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 397 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mf,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_me,Uu))))) # label(fact_ATP_Olambda__162) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 398 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mc,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_mb,Uu))))) # label(fact_ATP_Olambda__163) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 399 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lz,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ly,Uu))))) # label(fact_ATP_Olambda__164) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 400 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lw,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_lv,Uu))))) # label(fact_ATP_Olambda__165) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 401 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lp,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_lo,Uu))))) # label(fact_ATP_Olambda__166) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 402 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lm,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ll,Uu))))) # label(fact_ATP_Olambda__167) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 403 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lb,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_la,Uu))))) # label(fact_ATP_Olambda__168) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 404 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kz,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ky,Uu))))) # label(fact_ATP_Olambda__169) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 405 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kw,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_kv,Uu))))) # label(fact_ATP_Olambda__170) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 406 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ku,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_kt,Uu))))) # label(fact_ATP_Olambda__171) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 407 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ks,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_kr,Uu))))) # label(fact_ATP_Olambda__172) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 408 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kp,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ko,Uu))))) # label(fact_ATP_Olambda__173) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 409 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_km,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_kl,Uu))))) # label(fact_ATP_Olambda__174) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 410 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kj,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ki,Uu))))) # label(fact_ATP_Olambda__175) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 411 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kg,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_kf,Uu))))) # label(fact_ATP_Olambda__176) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 412 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kd,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_kc,Uu))))) # label(fact_ATP_Olambda__177) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 413 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ka,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_jz,Uu))))) # label(fact_ATP_Olambda__178) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 414 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jw,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_jv,Uu))))) # label(fact_ATP_Olambda__179) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 415 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_js,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_jr,Uu))))) # label(fact_ATP_Olambda__180) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 416 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jo,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_jn,Uu))))) # label(fact_ATP_Olambda__181) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 417 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jk,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_jj,Uu))))) # label(fact_ATP_Olambda__182) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 418 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jh,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_jg,Uu))))) # label(fact_ATP_Olambda__183) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 419 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_je,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_jd,Uu))))) # label(fact_ATP_Olambda__184) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 420 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jb,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ja,Uu))))) # label(fact_ATP_Olambda__185) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 421 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_iy,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ix,Uu))))) # label(fact_ATP_Olambda__186) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 422 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_iv,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_iu,Uu))))) # label(fact_ATP_Olambda__187) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 423 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_is,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ir,Uu))))) # label(fact_ATP_Olambda__188) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 424 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_io,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_in,Uu))))) # label(fact_ATP_Olambda__189) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 425 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ik,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ij,Uu))))) # label(fact_ATP_Olambda__190) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 426 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ig,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_if,Uu))))) # label(fact_ATP_Olambda__191) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 427 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ic,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ib,Uu))))) # label(fact_ATP_Olambda__192) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 428 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hy,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_hx,Uu))))) # label(fact_ATP_Olambda__193) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 429 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hu,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ht,Uu))))) # label(fact_ATP_Olambda__194) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 430 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hq,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_hp,Uu))))) # label(fact_ATP_Olambda__195) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 431 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hm,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_hl,Uu))))) # label(fact_ATP_Olambda__196) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 432 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hi,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_hh,Uu))))) # label(fact_ATP_Olambda__197) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 433 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hf,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_he,Uu))))) # label(fact_ATP_Olambda__198) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 434 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hd,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_hc,Uu))))) # label(fact_ATP_Olambda__199) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 435 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hb,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ha,Uu))))) # label(fact_ATP_Olambda__200) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 436 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gy,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_gx,Uu))))) # label(fact_ATP_Olambda__201) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 437 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gu,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_gt,Uu))))) # label(fact_ATP_Olambda__202) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 438 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gs,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_gr,Uu))))) # label(fact_ATP_Olambda__203) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 439 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gp,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_go,Uu))))) # label(fact_ATP_Olambda__204) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 440 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gm,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_gl,Uu))))) # label(fact_ATP_Olambda__205) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 441 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gj,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_gi,Uu))))) # label(fact_ATP_Olambda__206) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 442 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gg,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_gf,Uu))))) # label(fact_ATP_Olambda__207) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 443 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gd,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_gc,Uu))))) # label(fact_ATP_Olambda__208) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 444 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ga,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_fz,Uu))))) # label(fact_ATP_Olambda__209) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 445 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fx,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_fw,Uu))))) # label(fact_ATP_Olambda__210) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 446 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fu,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ft,Uu))))) # label(fact_ATP_Olambda__211) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 447 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fq,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_fp,Uu))))) # label(fact_ATP_Olambda__212) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 448 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fm,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_fl,Uu))))) # label(fact_ATP_Olambda__213) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 449 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fi,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_fh,Uu))))) # label(fact_ATP_Olambda__214) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 450 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fe,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_fd,Uu))))) # label(fact_ATP_Olambda__215) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 451 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fb,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_fa,Uu))))) # label(fact_ATP_Olambda__216) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 452 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ey,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ex,Uu))))) # label(fact_ATP_Olambda__217) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 453 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ev,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_eu,Uu))))) # label(fact_ATP_Olambda__218) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 454 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_es,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_er,Uu))))) # label(fact_ATP_Olambda__219) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 455 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ep,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_eo,Uu))))) # label(fact_ATP_Olambda__220) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 456 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_em,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_el,Uu))))) # label(fact_ATP_Olambda__221) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 457 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ei,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_eh,Uu))))) # label(fact_ATP_Olambda__222) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 458 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ee,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ed,Uu))))) # label(fact_ATP_Olambda__223) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 459 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ea,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_dz,Uu))))) # label(fact_ATP_Olambda__224) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 460 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dw,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_dv,Uu))))) # label(fact_ATP_Olambda__225) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 461 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ds,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_dr,Uu))))) # label(fact_ATP_Olambda__226) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 462 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_do,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_dn,Uu))))) # label(fact_ATP_Olambda__227) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 463 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dk,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_dj,Uu))))) # label(fact_ATP_Olambda__228) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 464 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dg,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_df,Uu))))) # label(fact_ATP_Olambda__229) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 465 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dc,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_db,Uu))))) # label(fact_ATP_Olambda__230) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 466 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cx,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cw,Uu))))) # label(fact_ATP_Olambda__231) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 467 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cv,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cu,Uu))))) # label(fact_ATP_Olambda__232) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 468 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cs,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cr,Uu))))) # label(fact_ATP_Olambda__233) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 469 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cq,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cp,Uu))))) # label(fact_ATP_Olambda__234) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 470 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_co,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cn,Uu))))) # label(fact_ATP_Olambda__235) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 471 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cm,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cl,Uu))))) # label(fact_ATP_Olambda__236) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 472 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ck,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cj,Uu))))) # label(fact_ATP_Olambda__237) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 473 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ci,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ch,Uu))))) # label(fact_ATP_Olambda__238) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 474 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cg,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,Uu))))) # label(fact_ATP_Olambda__239) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 475 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ce,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cd,Uu))))) # label(fact_ATP_Olambda__240) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 476 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cc,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,Uu))))) # label(fact_ATP_Olambda__241) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 477 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ab,Uu)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,Uu))))) # label(fact_ATP_Olambda__242) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 478 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lt,Uu)) <-> pp(aa_fun171081125l_bool(scratc1897569848l_some(scratc636914614d_frac),aa_TPT43085870d_bool(aTP_Lamm_ls,Uu))))) # label(fact_ATP_Olambda__243) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 479 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lr,Uu)) <-> pp(aa_fun171081125l_bool(scratc1897569848l_some(scratc636914614d_frac),aa_TPT43085870d_bool(aTP_Lamm_lq,Uu))))) # label(fact_ATP_Olambda__244) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 480 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tr,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,scratc282061419nd_n_1),aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uu))))) # label(fact_ATP_Olambda__245) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 481 (all Uu aa_TPT494704832TP_ind(aTP_Lamm_bv,Uu) = aa_TPT494704832TP_ind(scratc1307610839d_repl,aa_TPTP_ind_TPTP_ind(scratc297882262tminus(Uu),aa_TPTP_ind_TPTP_ind(scratc1811264907d_Sing,scratc1169782717ptyset)))) # label(fact_ATP_Olambda__246) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 482 (all Uu (gg_TPTP_ind(Uu) -> (pp(aa_TPTP_ind_bool(aTP_Lamm_at,Uu)) <-> Uu != scratc1169782717ptyset))) # label(fact_ATP_Olambda__247) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 483 (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(scratc488888936d_Inj1,X2) = Uu))))) # label(fact_ATP_Olambda__248) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 484 (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(scratc488888935d_Inj0,X2) = Uu))))) # label(fact_ATP_Olambda__249) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 485 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cr,Uu),Uua)) <-> scratc1219098378_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc173054068_rt_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2043040867t_less,Uu),Uua)))) # label(fact_ATP_Olambda__250) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 486 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zm,Uu),Uua)) <-> scratc1219098378_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uu),Uua)))) # label(fact_ATP_Olambda__251) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 487 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oe,Uu),Uua)) <-> scratc1219098378_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uu),Uua)))) # label(fact_ATP_Olambda__252) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 488 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cp,Uu),Uua)) <-> pp(scratc1929444168nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc173054068_rt_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2043040867t_less,Uu),Uua))))) # label(fact_ATP_Olambda__253) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 489 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zk,Uu),Uua)) <-> pp(scratc1929444168nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__254) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 490 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oc,Uu),Uua)) <-> pp(scratc1929444168nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__255) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 491 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cn,Uu),Uua)) <-> pp(scratc1845845133nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc173054068_rt_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2043040867t_less,Uu),Uua))))) # label(fact_ATP_Olambda__256) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 492 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zi,Uu),Uua)) <-> pp(scratc1845845133nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__257) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 493 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oa,Uu),Uua)) <-> pp(scratc1845845133nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__258) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 494 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zu,Uu),Uua)) <-> scratc1219098378_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc493910842n_some,aa_TPT43085870d_bool(aTP_Lamm_zs(Uu),Uua)),aa_fun171081125l_bool(scratc493910842n_some,aa_TPT43085870d_bool(aTP_Lamm_zt(Uu),Uua))))) # label(fact_ATP_Olambda__259) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 495 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zq,Uu),Uua)) <-> pp(scratc1929444168nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc493910842n_some,aa_TPT43085870d_bool(scratc304196016ffprop(Uu),Uua)),aa_fun171081125l_bool(scratc493910842n_some,aa_TPT43085870d_bool(scratc304196016ffprop(Uua),Uu)))))) # label(fact_ATP_Olambda__260) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 496 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zo,Uu),Uua)) <-> pp(scratc1845845133nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc493910842n_some,aa_TPT43085870d_bool(scratc304196016ffprop(Uu),Uua)),aa_fun171081125l_bool(scratc493910842n_some,aa_TPT43085870d_bool(scratc304196016ffprop(Uua),Uu)))))) # label(fact_ATP_Olambda__261) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 497 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ack,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc712927111d_e_is(Uu),Uua),Uua)))) # label(fact_ATP_Olambda__262) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 498 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_om,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc231390674d_n_fr,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1921379518nd_num,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1837714885nd_den,Uu)),Uua))),Uu)))) # label(fact_ATP_Olambda__263) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 499 (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(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uua)),Uua)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uu)),Uua))))) # label(fact_ATP_Olambda__264) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 500 (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(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uua)),Uu)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uua)))))) # label(fact_ATP_Olambda__265) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 501 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aax,Uu),Uua)) <-> pp(scratc1115724827_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,Uua),scratc282061419nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uu)),aa_fun171081125l_bool(scratc540698651_n_all,aa_TPT43085870d_bool(aTP_Lamm_aq,Uua)))))) # label(fact_ATP_Olambda__266) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 502 (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(scratc1365617091_29_ii,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uua),scratc282061419nd_n_1)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,Uua),Uu))))) # label(fact_ATP_Olambda__267) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 503 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sz,Uu),Uua)) <-> pp(scratc1115724827_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,Uua),scratc282061419nd_n_1)),Uu),aa_fun171081125l_bool(scratc540698651_n_all,aa_TPT43085870d_bool(aTP_Lamm_ao(Uu),Uua)))))) # label(fact_ATP_Olambda__268) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 504 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abh,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__269) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 505 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_st,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uua)),Uua))))) # label(fact_ATP_Olambda__270) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 506 (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(scratc1365617091_29_ii,aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uua)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,Uua),Uu))))) # label(fact_ATP_Olambda__271) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 507 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aar,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uua)))))) # label(fact_ATP_Olambda__272) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 508 (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(scratc1879284801nd_iii,Uua),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),scratc282061419nd_n_1))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,Uua),Uu))))) # label(fact_ATP_Olambda__273) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 509 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sw,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uua)),Uu))))) # label(fact_ATP_Olambda__274) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 510 (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(scratc1879284801nd_iii,Uua),aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uu))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,Uua),Uu))))) # label(fact_ATP_Olambda__275) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 511 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aau,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uua)))))) # label(fact_ATP_Olambda__276) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 512 (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(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,Uu),aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,Uu),Uua)))))) # label(fact_ATP_Olambda__277) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 513 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_he,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uua),aa_TPTP_ind_TPTP_ind(scratc1454525887_367_w(Uu),Uua))),Uu))))) # label(fact_ATP_Olambda__278) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 514 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tl,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uua),scratc282061419nd_n_1)),Uu))))) # label(fact_ATP_Olambda__279) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 515 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abc,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1920592336nd_nis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1920592336nd_nis,aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uua)))))) # label(fact_ATP_Olambda__280) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 516 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_as,Uu),Uua)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1879547204nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587467d_n_in,Uua),Uu)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587467d_n_in,aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uua)),Uu))))) # label(fact_ATP_Olambda__281) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 517 (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(scratc1879284801nd_iii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uua)),Uu))))) # label(fact_ATP_Olambda__282) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 518 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hc,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uua),aa_TPTP_ind_TPTP_ind(scratc1454525887_367_w(Uu),Uua))))))) # label(fact_ATP_Olambda__283) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 519 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tp,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,Uua),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),scratc282061419nd_n_1)))))) # label(fact_ATP_Olambda__284) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 520 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tn,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,Uua),aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uu)))))) # label(fact_ATP_Olambda__285) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 521 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sl,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uua),Uu))))) # label(fact_ATP_Olambda__286) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 522 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aag,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uua),Uu))))) # label(fact_ATP_Olambda__287) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 523 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gt,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uua),Uu))))) # label(fact_ATP_Olambda__288) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 524 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_la,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uua),Uu))))) # label(fact_ATP_Olambda__289) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 525 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2043040867t_less,Uua),Uu))))) # label(fact_ATP_Olambda__290) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 526 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cj,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2043040867t_less,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,Uua),Uu))))) # label(fact_ATP_Olambda__291) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 527 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zg,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uua),Uu))))) # label(fact_ATP_Olambda__292) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 528 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zc,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,Uua),Uu))))) # label(fact_ATP_Olambda__293) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 529 (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(scratc919487723lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,Uua),Uu))))) # label(fact_ATP_Olambda__294) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 530 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mm,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919225325lesseq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706324_moreq,Uua),Uu))))) # label(fact_ATP_Olambda__295) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 531 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cw,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc173054068_rt_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc173054068_rt_is,Uua),Uu))))) # label(fact_ATP_Olambda__296) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 532 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mo,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706324_moreq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919225325lesseq,Uua),Uu))))) # label(fact_ATP_Olambda__297) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 533 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ny,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uua),Uu))))) # label(fact_ATP_Olambda__298) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 534 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nw,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uua),Uu))))) # label(fact_ATP_Olambda__299) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 535 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ot,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uua),Uu))))) # label(fact_ATP_Olambda__300) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 536 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ze,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uua),Uu))))) # label(fact_ATP_Olambda__301) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 537 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hh,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uu),Uua)) -> pp(aa_fun171081125l_bool(scratc1897569848l_some(scratc636914614d_frac),aa_TPT43085870d_bool(aTP_Lamm_hg(Uu),Uua)))))) # label(fact_ATP_Olambda__302) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 538 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lo,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uu),Uua)) -> pp(aa_fun171081125l_bool(scratc1897569848l_some(scratc636914614d_frac),aa_TPT43085870d_bool(aTP_Lamm_ln(Uu),Uua)))))) # label(fact_ATP_Olambda__303) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 539 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ch,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc218225321moreis,Uu),Uua)) -> pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2043040867t_less,Uu),Uua)))))) # label(fact_ATP_Olambda__304) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 540 (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(scratc84241709lessis,Uu),Uua)) -> pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,Uu),Uua)))))) # label(fact_ATP_Olambda__305) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 541 (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(scratc758693855t_more,Uu),Uua)) -> pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc84241709lessis,Uu),Uua)))))) # label(fact_ATP_Olambda__306) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 542 (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(scratc1365617091_29_ii,Uu),Uua)) -> pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,Uu),Uua)))))) # label(fact_ATP_Olambda__307) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 543 (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(scratc1053471335moreis,Uu),Uua)) -> pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uu),Uua)))))) # label(fact_ATP_Olambda__308) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 544 (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(scratc919487723lessis,Uu),Uua)) -> pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uu),Uua)))))) # label(fact_ATP_Olambda__309) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 545 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nk,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919225325lesseq,Uu),Uua)) -> pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uu),Uua)))))) # label(fact_ATP_Olambda__310) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 546 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nm,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706324_moreq,Uu),Uua)) -> pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uu),Uua)))))) # label(fact_ATP_Olambda__311) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 547 (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(scratc1000706313_moref,Uu),Uua)) -> pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919225325lesseq,Uu),Uua)))))) # label(fact_ATP_Olambda__312) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.02 548 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nc,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uu),Uua)) -> pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706324_moreq,Uu),Uua)))))) # label(fact_ATP_Olambda__313) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 549 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yo,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uu),Uua)) -> pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,Uu),Uua)))))) # label(fact_ATP_Olambda__314) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 550 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xq,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uua)),Uu)))) # label(fact_ATP_Olambda__315) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 551 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kv,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uu),Uua)),Uu)))) # label(fact_ATP_Olambda__316) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 552 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_am(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,Uu),Uua)),Uua)) # label(fact_ATP_Olambda__317) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 553 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_bs(Uu),Uua) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307610839d_repl,aa_TPTP_ind_TPTP_ind(Uu,Uua)),aa_TPT1424761345TP_ind(scratc1860414882d_pair,Uua))) # label(fact_ATP_Olambda__318) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 554 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aa_TPT43085870d_bool(aTP_Lamm_abl,Uu)),aa_TPT43085870d_bool(aTP_Lamm_abm(Uu),Uua))))) # label(fact_ATP_Olambda__319) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 555 (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(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uua))),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uu)),Uua))))) # label(fact_ATP_Olambda__320) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 556 (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(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uua))),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uua)))))) # label(fact_ATP_Olambda__321) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 557 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cd,Uu),Uua)) <-> (pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc758693855t_more,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc84241709lessis,Uu),Uua))))) # label(fact_ATP_Olambda__322) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 558 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,Uu),Uua)) <-> (pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2043040867t_less,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc218225321moreis,Uu),Uua))))) # label(fact_ATP_Olambda__323) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 559 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yu,Uu),Uua)) <-> (pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,Uu),Uua))))) # label(fact_ATP_Olambda__324) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 560 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ym,Uu),Uua)) <-> (pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__325) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 561 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yk,Uu),Uua)) <-> (pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__326) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 562 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_my,Uu),Uua)) <-> (pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919225325lesseq,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uu),Uua))))) # label(fact_ATP_Olambda__327) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 563 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_na,Uu),Uua)) <-> (pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706324_moreq,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__328) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 564 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ni,Uu),Uua)) <-> (pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919225325lesseq,Uu),Uua))))) # label(fact_ATP_Olambda__329) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 565 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ng,Uu),Uua)) <-> (pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706324_moreq,Uu),Uua))))) # label(fact_ATP_Olambda__330) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 566 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ys,Uu),Uua)) <-> (pp(scratc1223190007_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,Uu),Uua))))) # label(fact_ATP_Olambda__331) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 567 (all Uu all Uua aa_fun277296641TP_ind(aa_TPT494704832TP_ind(aTP_Lamm_bw,Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc381596720nunion(aa_TPTP_ind_TPTP_ind(scratc1811264907d_Sing,scratc1169782717ptyset)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307610839d_repl,Uu),Uua))) # label(fact_ATP_Olambda__332) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 568 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oo,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc231390674d_n_fr,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1921379518nd_num,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1837714885nd_den,Uu)),Uua)))))) # label(fact_ATP_Olambda__333) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 569 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kt,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uu),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uu),Uua))))) # label(fact_ATP_Olambda__334) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 570 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aae,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1920592336nd_nis,Uua),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uua))))) # label(fact_ATP_Olambda__335) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 571 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xo,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uu),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uua))))) # label(fact_ATP_Olambda__336) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 572 (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(scratc231587472d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uua))))) # label(fact_ATP_Olambda__337) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 573 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abl,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,Uua),aa_TPTP_ind_TPTP_ind(scratc165739421_power,Uu))))) # label(fact_ATP_Olambda__338) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 574 (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(scratc919487723lessis,Uua),Uu)))) # label(fact_ATP_Olambda__339) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 575 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ls,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uua),Uu)))) # label(fact_ATP_Olambda__340) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 576 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lq,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uua),Uu)))) # label(fact_ATP_Olambda__341) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 577 (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(scratc231587467d_n_in,Uua),Uu)))) # label(fact_ATP_Olambda__342) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 578 (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(scratc1918493163nd_nIn,Uua),Uu)))) # label(fact_ATP_Olambda__343) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 579 (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(scratc102755885bnd_in,Uua),Uu)))) # label(fact_ATP_Olambda__344) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 580 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aaj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_aai(Uu),Uua))))) # label(fact_ATP_Olambda__345) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 581 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aac,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_aab(Uu),Uua))))) # label(fact_ATP_Olambda__346) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 582 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_zy(Uu),Uua))))) # label(fact_ATP_Olambda__347) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 583 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yi,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_yh(Uu),Uua))))) # label(fact_ATP_Olambda__348) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 584 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_ye(Uu),Uua))))) # label(fact_ATP_Olambda__349) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 585 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_yb(Uu),Uua))))) # label(fact_ATP_Olambda__350) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 586 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_xy(Uu),Uua))))) # label(fact_ATP_Olambda__351) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 587 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_xv(Uu),Uua))))) # label(fact_ATP_Olambda__352) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 588 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_xs(Uu),Uua))))) # label(fact_ATP_Olambda__353) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 589 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_xj(Uu),Uua))))) # label(fact_ATP_Olambda__354) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 590 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_xg(Uu),Uua))))) # label(fact_ATP_Olambda__355) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 591 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xe,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_xd(Uu),Uua))))) # label(fact_ATP_Olambda__356) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 592 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_xa(Uu),Uua))))) # label(fact_ATP_Olambda__357) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 593 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_wx(Uu),Uua))))) # label(fact_ATP_Olambda__358) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 594 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_wu(Uu),Uua))))) # label(fact_ATP_Olambda__359) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 595 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ws,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_wr(Uu),Uua))))) # label(fact_ATP_Olambda__360) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 596 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wo,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_wn(Uu),Uua))))) # label(fact_ATP_Olambda__361) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 597 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_wj(Uu),Uua))))) # label(fact_ATP_Olambda__362) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 598 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_wf(Uu),Uua))))) # label(fact_ATP_Olambda__363) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 599 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_wb(Uu),Uua))))) # label(fact_ATP_Olambda__364) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 600 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_vy(Uu),Uua))))) # label(fact_ATP_Olambda__365) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 601 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_vv(Uu),Uua))))) # label(fact_ATP_Olambda__366) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 602 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_vs(Uu),Uua))))) # label(fact_ATP_Olambda__367) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 603 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_vp(Uu),Uua))))) # label(fact_ATP_Olambda__368) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 604 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_vm(Uu),Uua))))) # label(fact_ATP_Olambda__369) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 605 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_vj(Uu),Uua))))) # label(fact_ATP_Olambda__370) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 606 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_vg(Uu),Uua))))) # label(fact_ATP_Olambda__371) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 607 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ve,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_vd(Uu),Uua))))) # label(fact_ATP_Olambda__372) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 608 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_va(Uu),Uua))))) # label(fact_ATP_Olambda__373) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 609 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_ux(Uu),Uua))))) # label(fact_ATP_Olambda__374) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 610 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_ut(Uu),Uua))))) # label(fact_ATP_Olambda__375) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 611 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_up(Uu),Uua))))) # label(fact_ATP_Olambda__376) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 612 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_um,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_ul(Uu),Uua))))) # label(fact_ATP_Olambda__377) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 613 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ui,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_uh(Uu),Uua))))) # label(fact_ATP_Olambda__378) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 614 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ue,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_ud(Uu),Uua))))) # label(fact_ATP_Olambda__379) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 615 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ua,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_tz(Uu),Uua))))) # label(fact_ATP_Olambda__380) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 616 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_tv(Uu),Uua))))) # label(fact_ATP_Olambda__381) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 617 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_si(Uu),Uua))))) # label(fact_ATP_Olambda__382) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 618 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_sf(Uu),Uua))))) # label(fact_ATP_Olambda__383) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 619 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_sc(Uu),Uua))))) # label(fact_ATP_Olambda__384) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 620 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sa,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_rz(Uu),Uua))))) # label(fact_ATP_Olambda__385) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 621 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_rw(Uu),Uua))))) # label(fact_ATP_Olambda__386) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 622 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ru,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_rt(Uu),Uua))))) # label(fact_ATP_Olambda__387) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 623 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_rq(Uu),Uua))))) # label(fact_ATP_Olambda__388) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 624 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ro,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_rn(Uu),Uua))))) # label(fact_ATP_Olambda__389) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 625 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_rk(Uu),Uua))))) # label(fact_ATP_Olambda__390) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 626 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_rg(Uu),Uua))))) # label(fact_ATP_Olambda__391) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 627 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_rc(Uu),Uua))))) # label(fact_ATP_Olambda__392) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 628 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_qy(Uu),Uua))))) # label(fact_ATP_Olambda__393) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 629 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_qu(Uu),Uua))))) # label(fact_ATP_Olambda__394) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 630 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qs,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_qr(Uu),Uua))))) # label(fact_ATP_Olambda__395) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 631 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_qo(Uu),Uua))))) # label(fact_ATP_Olambda__396) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 632 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_ql(Uu),Uua))))) # label(fact_ATP_Olambda__397) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 633 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_qi(Uu),Uua))))) # label(fact_ATP_Olambda__398) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 634 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_qf(Uu),Uua))))) # label(fact_ATP_Olambda__399) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 635 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_qc(Uu),Uua))))) # label(fact_ATP_Olambda__400) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 636 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qa,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_pz(Uu),Uua))))) # label(fact_ATP_Olambda__401) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 637 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_pv(Uu),Uua))))) # label(fact_ATP_Olambda__402) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 638 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ps,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_pr(Uu),Uua))))) # label(fact_ATP_Olambda__403) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 639 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_po,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_pn(Uu),Uua))))) # label(fact_ATP_Olambda__404) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 640 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_pj(Uu),Uua))))) # label(fact_ATP_Olambda__405) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 641 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_pf(Uu),Uua))))) # label(fact_ATP_Olambda__406) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 642 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_pb(Uu),Uua))))) # label(fact_ATP_Olambda__407) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 643 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_ox(Uu),Uua))))) # label(fact_ATP_Olambda__408) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 644 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ok,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_oj(Uu),Uua))))) # label(fact_ATP_Olambda__409) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 645 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_og(Uu),Uua))))) # label(fact_ATP_Olambda__410) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 646 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_lg(Uu),Uua))))) # label(fact_ATP_Olambda__411) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 647 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_le,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aTP_Lamm_ld(Uu),Uua))))) # label(fact_ATP_Olambda__412) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 648 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_or,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_oq(Uu),Uua))))) # label(fact_ATP_Olambda__413) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 649 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_nt(Uu),Uua))))) # label(fact_ATP_Olambda__414) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 650 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_np(Uu),Uua))))) # label(fact_ATP_Olambda__415) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 651 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_mv(Uu),Uua))))) # label(fact_ATP_Olambda__416) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 652 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ms,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_mr(Uu),Uua))))) # label(fact_ATP_Olambda__417) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 653 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_mj(Uu),Uua))))) # label(fact_ATP_Olambda__418) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 654 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_mg(Uu),Uua))))) # label(fact_ATP_Olambda__419) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 655 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_me,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_md(Uu),Uua))))) # label(fact_ATP_Olambda__420) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 656 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ma(Uu),Uua))))) # label(fact_ATP_Olambda__421) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 657 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ly,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_lx(Uu),Uua))))) # label(fact_ATP_Olambda__422) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 658 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_lu(Uu),Uua))))) # label(fact_ATP_Olambda__423) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 659 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ll,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_lk(Uu),Uua))))) # label(fact_ATP_Olambda__424) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 660 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ky,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_kx(Uu),Uua))))) # label(fact_ATP_Olambda__425) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 661 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_kq(Uu),Uua))))) # label(fact_ATP_Olambda__426) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 662 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ko,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_kn(Uu),Uua))))) # label(fact_ATP_Olambda__427) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 663 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_kk(Uu),Uua))))) # label(fact_ATP_Olambda__428) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 664 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ki,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_kh(Uu),Uua))))) # label(fact_ATP_Olambda__429) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 665 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ke(Uu),Uua))))) # label(fact_ATP_Olambda__430) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 666 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_kb(Uu),Uua))))) # label(fact_ATP_Olambda__431) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 667 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_jy(Uu),Uua))))) # label(fact_ATP_Olambda__432) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 668 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ju(Uu),Uua))))) # label(fact_ATP_Olambda__433) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 669 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_jq(Uu),Uua))))) # label(fact_ATP_Olambda__434) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 670 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_jm(Uu),Uua))))) # label(fact_ATP_Olambda__435) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 671 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ji(Uu),Uua))))) # label(fact_ATP_Olambda__436) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 672 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_jf(Uu),Uua))))) # label(fact_ATP_Olambda__437) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 673 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_jc(Uu),Uua))))) # label(fact_ATP_Olambda__438) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 674 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ja,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_iz(Uu),Uua))))) # label(fact_ATP_Olambda__439) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 675 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ix,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_iw(Uu),Uua))))) # label(fact_ATP_Olambda__440) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 676 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_it(Uu),Uua))))) # label(fact_ATP_Olambda__441) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 677 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ir,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_iq(Uu),Uua))))) # label(fact_ATP_Olambda__442) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 678 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_in,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_im(Uu),Uua))))) # label(fact_ATP_Olambda__443) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 679 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ij,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ii(Uu),Uua))))) # label(fact_ATP_Olambda__444) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 680 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_if,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ie(Uu),Uua))))) # label(fact_ATP_Olambda__445) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 681 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ib,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ia(Uu),Uua))))) # label(fact_ATP_Olambda__446) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 682 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_hw(Uu),Uua))))) # label(fact_ATP_Olambda__447) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 683 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ht,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_hs(Uu),Uua))))) # label(fact_ATP_Olambda__448) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 684 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ho(Uu),Uua))))) # label(fact_ATP_Olambda__449) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 685 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_hk(Uu),Uua))))) # label(fact_ATP_Olambda__450) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 686 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ha,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_gz(Uu),Uua))))) # label(fact_ATP_Olambda__451) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 687 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_gw(Uu),Uua))))) # label(fact_ATP_Olambda__452) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 688 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_gq(Uu),Uua))))) # label(fact_ATP_Olambda__453) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 689 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_go,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_gn(Uu),Uua))))) # label(fact_ATP_Olambda__454) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 690 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_gk(Uu),Uua))))) # label(fact_ATP_Olambda__455) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 691 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gi,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_gh(Uu),Uua))))) # label(fact_ATP_Olambda__456) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 692 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ge(Uu),Uua))))) # label(fact_ATP_Olambda__457) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 693 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_gb(Uu),Uua))))) # label(fact_ATP_Olambda__458) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 694 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_fy(Uu),Uua))))) # label(fact_ATP_Olambda__459) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 695 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_fv(Uu),Uua))))) # label(fact_ATP_Olambda__460) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 696 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ft,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_fs(Uu),Uua))))) # label(fact_ATP_Olambda__461) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 697 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_fo(Uu),Uua))))) # label(fact_ATP_Olambda__462) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 698 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_fk(Uu),Uua))))) # label(fact_ATP_Olambda__463) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 699 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_fg(Uu),Uua))))) # label(fact_ATP_Olambda__464) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 700 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_fc(Uu),Uua))))) # label(fact_ATP_Olambda__465) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 701 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fa,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ez(Uu),Uua))))) # label(fact_ATP_Olambda__466) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 702 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ex,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ew(Uu),Uua))))) # label(fact_ATP_Olambda__467) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 703 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_et(Uu),Uua))))) # label(fact_ATP_Olambda__468) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 704 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_er,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_eq(Uu),Uua))))) # label(fact_ATP_Olambda__469) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 705 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eo,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_en(Uu),Uua))))) # label(fact_ATP_Olambda__470) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 706 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_el,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ek(Uu),Uua))))) # label(fact_ATP_Olambda__471) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 707 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_eg(Uu),Uua))))) # label(fact_ATP_Olambda__472) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 708 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ed,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_ec(Uu),Uua))))) # label(fact_ATP_Olambda__473) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 709 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_dy(Uu),Uua))))) # label(fact_ATP_Olambda__474) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 710 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_du(Uu),Uua))))) # label(fact_ATP_Olambda__475) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 711 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_dq(Uu),Uua))))) # label(fact_ATP_Olambda__476) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 712 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_dm(Uu),Uua))))) # label(fact_ATP_Olambda__477) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 713 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_di(Uu),Uua))))) # label(fact_ATP_Olambda__478) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 714 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aTP_Lamm_de(Uu),Uua))))) # label(fact_ATP_Olambda__479) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 715 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ct(Uu),Uua))))) # label(fact_ATP_Olambda__480) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 716 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_db,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1897569848l_some(scratc636914614d_frac),aa_TPT43085870d_bool(aTP_Lamm_da(Uu),Uua))))) # label(fact_ATP_Olambda__481) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 717 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zw,Uu),Uua)) <-> pp(scratc772951858_amone(scratc1920067545nd_nat,aa_TPT43085870d_bool(aTP_Lamm_zs(Uu),Uua))))) # label(fact_ATP_Olambda__482) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 718 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_ap(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,Uu),Uua))) # label(fact_ATP_Olambda__483) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 719 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_bp(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc673001287_union,aa_TPTP_ind_TPTP_ind(Uu,Uua))) # label(fact_ATP_Olambda__484) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 720 (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(scratc1860414882d_pair,Uu),X3)))))) # label(fact_ATP_Olambda__485) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 721 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abv(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc712927111d_e_is(aa_TPTP_ind_TPTP_ind(scratc1503458065etprod(Uu),Uua)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759553526d_pair(Uu,Uua),aa_TPTP_ind_TPTP_ind(scratc1226053384_first(Uu,Uua),Uub)),aa_TPTP_ind_TPTP_ind(scratc1738843356second(Uu,Uua),Uub))),Uub)))) # label(fact_ATP_Olambda__486) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 722 (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(scratc102755877bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,scratc1169782717ptyset),Uub),Uu),Uua)) # label(fact_ATP_Olambda__487) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 723 (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(scratc102755877bnd_if(aa_TPTP_ind_bool(Uua,Uub),Uub),scratc1846697984nd_eps(aa_fun1584354236d_bool(aTP_Lamm_bm(Uu),Uua)))) # label(fact_ATP_Olambda__488) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 724 (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(scratc2013318955d_esti(Uu),Uub),Uua)))) # label(fact_ATP_Olambda__489) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 725 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_abo(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2013318955d_esti(Uu),Uub),aa_fun1431113780TP_ind(scratc999473378_d_Sep(Uu),Uua))) -> pp(aa_TPTP_ind_bool(Uua,Uub))))) # label(fact_ATP_Olambda__490) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 726 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abm(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc798277750d_incl(Uu),Uua),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc798277750d_incl(Uu),Uub),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc712927111d_e_is(aa_TPTP_ind_TPTP_ind(scratc165739421_power,Uu)),Uua),Uub)))))) # label(fact_ATP_Olambda__491) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 727 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abw(Uu),Uua),Uub)) <-> scratc2128269225_is_of(aa_TPTP_ind_TPTP_ind(scratc1738843356second(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_au,Uua)))) # label(fact_ATP_Olambda__492) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 728 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abx(Uu),Uua),Uub)) <-> scratc2128269225_is_of(aa_TPTP_ind_TPTP_ind(scratc1226053384_first(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_au,Uu)))) # label(fact_ATP_Olambda__493) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 729 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_acd(Uu),Uua),Uub)) <-> scratc2128269225_is_of(aa_TPTP_ind_TPTP_ind(scratc712927106d_e_in(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_au,Uu)))) # label(fact_ATP_Olambda__494) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 730 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ach(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aa_TPT43085870d_bool(aTP_Lamm_ace(Uu),Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_acg(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__495) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 731 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lg(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc231390674d_n_fr,Uu),Uub)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc231390674d_n_fr,Uua),Uub))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc231390674d_n_fr,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uua)),Uub))))) # label(fact_ATP_Olambda__496) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 732 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_og(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc231390674d_n_fr,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uua),Uub))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc231390674d_n_fr,Uu),Uua))))) # label(fact_ATP_Olambda__497) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 733 (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(scratc1365617091_29_ii,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__498) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 734 (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(scratc1365617091_29_ii,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__499) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 735 (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(scratc1365617091_29_ii,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__500) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 736 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fc(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uu),Uua))))) # label(fact_ATP_Olambda__501) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 737 (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(scratc1000706313_moref,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uu),Uua))))) # label(fact_ATP_Olambda__502) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 738 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ji(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uu),Uua))))) # label(fact_ATP_Olambda__503) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 739 (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(scratc1000706313_moref,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uu),Uua))))) # label(fact_ATP_Olambda__504) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 740 (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(scratc654384517_lessf,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__505) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 741 (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(scratc654384517_lessf,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__506) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 742 (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(scratc654384517_lessf,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__507) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 743 (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(scratc654384517_lessf,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__508) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 744 (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(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__509) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 745 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zy(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,Uua),Uub))))) # label(fact_ATP_Olambda__510) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 746 (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(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__511) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 747 (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(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__512) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 748 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ez(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),Uua))))) # label(fact_ATP_Olambda__513) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 749 (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(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),Uua))))) # label(fact_ATP_Olambda__514) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 750 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jf(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),Uua))))) # label(fact_ATP_Olambda__515) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 751 (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(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),Uua))))) # label(fact_ATP_Olambda__516) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 752 (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(scratc1879284801nd_iii,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__517) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 753 (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(scratc1879284801nd_iii,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__518) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 754 (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(scratc1879284801nd_iii,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__519) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 755 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ld(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc231390674d_n_fr,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc231390674d_n_fr,Uu),Uub)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc231390674d_n_fr,Uua),Uub)))))) # label(fact_ATP_Olambda__520) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 756 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sf(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__521) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 757 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aai(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__522) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 758 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gq(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uu),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uua),Uub)))))) # label(fact_ATP_Olambda__523) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 759 (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(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uu),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__524) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 760 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_si(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uua),Uub))),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uub)))))) # label(fact_ATP_Olambda__525) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 761 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gn(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uu),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uua),Uub))),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uu),Uub)))))) # label(fact_ATP_Olambda__526) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 762 (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(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(scratc1869534971rdsucc,Uub))),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,Uua),Uub)),Uu))))) # label(fact_ATP_Olambda__527) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 763 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gz(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uua),Uub)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uub),aa_TPTP_ind_TPTP_ind(scratc1454525887_367_w(Uu),Uua))))))) # label(fact_ATP_Olambda__528) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 764 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oj(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc231390674d_n_fr,Uu),Uua)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc231390674d_n_fr,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__529) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 765 (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(scratc1365617091_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__530) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 766 (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(scratc1365617091_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__531) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 767 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xj(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__532) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 768 (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(scratc1365617091_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__533) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 769 (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(scratc1365617091_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uu),Uub)))))) # label(fact_ATP_Olambda__534) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 770 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qu(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__535) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 771 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qr(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__536) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 772 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wb(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__537) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 773 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vy(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__538) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 774 (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(scratc1053471335moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uu),Uub)))))) # label(fact_ATP_Olambda__539) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 775 (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(scratc919487723lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__540) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 776 (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(scratc919487723lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__541) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 777 (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(scratc919487723lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__542) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 778 (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(scratc919487723lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__543) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 779 (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(scratc919487723lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,Uu),Uub)))))) # label(fact_ATP_Olambda__544) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 780 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ye(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__545) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 781 (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(scratc919225325lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919225325lesseq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919225325lesseq,Uu),Uub)))))) # label(fact_ATP_Olambda__546) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 782 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mg(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919225325lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__547) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 783 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ct(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc173054068_rt_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc173054068_rt_is,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc173054068_rt_is,Uu),Uub)))))) # label(fact_ATP_Olambda__548) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 784 (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(scratc1000706324_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uu),Uub)))))) # label(fact_ATP_Olambda__549) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 785 (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(scratc1000706313_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uua),Uub)))))) # label(fact_ATP_Olambda__550) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 786 (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(scratc1000706313_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uub),Uua)))))) # label(fact_ATP_Olambda__551) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 787 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__552) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 788 (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(scratc1000706313_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uub),Uua)))))) # label(fact_ATP_Olambda__553) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 789 (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(scratc1000706313_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706324_moreq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uu),Uub)))))) # label(fact_ATP_Olambda__554) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 790 (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(scratc654384517_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uua),Uub)))))) # label(fact_ATP_Olambda__555) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 791 (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(scratc654384517_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uub),Uua)))))) # label(fact_ATP_Olambda__556) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 792 (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(scratc654384517_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__557) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 793 (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(scratc654384517_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uub),Uua)))))) # label(fact_ATP_Olambda__558) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 794 (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(scratc654384517_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919225325lesseq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__559) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 795 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mj(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__560) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 796 (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(scratc231587472d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__561) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 797 (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(scratc231587472d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__562) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 798 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xg(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__563) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 799 (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(scratc231587472d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__564) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 800 (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(scratc231325074d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uua),Uub)))))) # label(fact_ATP_Olambda__565) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 801 (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(scratc231325074d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uub),Uua)))))) # label(fact_ATP_Olambda__566) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 802 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kn(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__567) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 803 (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(scratc231325074d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uub),Uua)))))) # label(fact_ATP_Olambda__568) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 804 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),Uub)))))) # label(fact_ATP_Olambda__569) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 805 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aab(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1920592336nd_nis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1920592336nd_nis,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uub)))))) # label(fact_ATP_Olambda__570) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.03 806 (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(scratc1879284801nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__571) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 807 (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(scratc1879284801nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__572) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 808 (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(scratc1879284801nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__573) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 809 (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(scratc1879284801nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__574) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 810 (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(scratc1879284801nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__575) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 811 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yh(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__576) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 812 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ln(Uu),Uua),Uub)) <-> pp(scratc1115724827_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uu),Uub),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uub),Uua))))) # label(fact_ATP_Olambda__577) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 813 (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(scratc102755885bnd_in,Uub),Uu)) & pp(aa_TPTP_ind_bool(Uua,Uub)))) # label(fact_ATP_Olambda__578) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 814 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_da(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uua),Uub)),Uu)))) # label(fact_ATP_Olambda__579) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 815 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hg(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uua),Uub)),Uu)))) # label(fact_ATP_Olambda__580) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 816 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_aca(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183411315_image(aa_fun1431113780TP_ind(scratc999473378_d_Sep(Uu),Uua),Uu),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1133920905_Sigma,aa_fun1431113780TP_ind(scratc999473378_d_Sep(Uu),Uua)),scratc712927106d_e_in(Uu,Uua))),Uub))))) # label(fact_ATP_Olambda__581) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 817 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_abp(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2013318955d_esti(Uu),Uub),aa_fun1431113780TP_ind(scratc999473378_d_Sep(Uu),Uua)))))) # label(fact_ATP_Olambda__582) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 818 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_acj(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uu)),aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_aci(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__583) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 819 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_bo(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uu)),aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_bn(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__584) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 820 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abz(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aby(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__585) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 821 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abt(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_abs(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__586) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 822 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abr(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_abq(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__587) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 823 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ace(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,Uub),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1719206485d_d_Pi,Uu),aTP_Lamm_aj(Uua)))))) # label(fact_ATP_Olambda__588) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 824 (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(scratc231587472d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uua),Uub))))) # label(fact_ATP_Olambda__589) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 825 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zt(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,Uua),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uub))))) # label(fact_ATP_Olambda__590) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 826 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abu(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,Uub),aa_TPTP_ind_TPTP_ind(scratc1503458065etprod(Uu),Uua))))) # label(fact_ATP_Olambda__591) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 827 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_acb(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,Uub),aa_fun1431113780TP_ind(scratc999473378_d_Sep(Uu),Uua))))) # label(fact_ATP_Olambda__592) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 828 (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(scratc102231095bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,Uu),Uub))) # label(fact_ATP_Olambda__593) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 829 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wr(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wq(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__594) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 830 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wn(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wm(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__595) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 831 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wj(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wi(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__596) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 832 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wf(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_we(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__597) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 833 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ux(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_uw(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__598) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 834 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ut(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_us(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__599) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 835 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_up(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_uo(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__600) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 836 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ul(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_uk(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__601) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 837 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uh(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ug(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__602) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 838 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ud(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_uc(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__603) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 839 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tz(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ty(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__604) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 840 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tv(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tu(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__605) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 841 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rk(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_rj(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__606) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 842 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rg(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_rf(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__607) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 843 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rc(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_rb(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__608) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 844 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qy(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qx(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__609) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 845 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pz(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_py(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__610) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 846 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pv(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pu(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__611) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 847 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pr(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pq(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__612) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 848 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pn(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pm(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__613) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 849 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pj(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pi(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__614) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 850 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pf(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pe(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__615) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 851 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pb(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pa(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__616) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 852 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ox(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_lc),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ow(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__617) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 853 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nt(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ns(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__618) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 854 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_np(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_no(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__619) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 855 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mv(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mu(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__620) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 856 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mr(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mq(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__621) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 857 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lk(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lj(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__622) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 858 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jy(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jx(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__623) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 859 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ju(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jt(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__624) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 860 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jq(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jp(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__625) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 861 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jm(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jl(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__626) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 862 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iq(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ip(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__627) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 863 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_im(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_il(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__628) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 864 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ii(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ih(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__629) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 865 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ie(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_id(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__630) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 866 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ia(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hz(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__631) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 867 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hw(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hv(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__632) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 868 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hs(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hr(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__633) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 869 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ho(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hn(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__634) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 870 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hk(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hj(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__635) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 871 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gw(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gv(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__636) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 872 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fs(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fr(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__637) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 873 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fo(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fn(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__638) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 874 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fk(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fj(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__639) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 875 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fg(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ff(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__640) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 876 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ek(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ej(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__641) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 877 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eg(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ef(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__642) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 878 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ec(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_eb(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__643) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 879 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dy(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dx(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__644) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 880 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_du(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dt(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__645) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 881 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dq(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dp(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__646) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 882 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dm(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__647) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 883 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_di(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dh(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__648) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 884 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_de(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc639425392all_of(aTP_Lamm_cz),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dd(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__649) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 885 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_af(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1897569848l_some(scratc636914614d_frac),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ae(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__650) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 886 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ad(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1897569848l_some(scratc636914614d_frac),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ac(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__651) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 887 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_acc(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(Uua,aa_TPTP_ind_TPTP_ind(scratc712927106d_e_in(Uu,Uua),Uub))))) # label(fact_ATP_Olambda__652) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 888 (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(scratc102755885bnd_in,X3),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc102755885bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,Uub),X3)),aa_TPTP_ind_TPTP_ind(Uua,X3)))))))) # label(fact_ATP_Olambda__653) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 889 (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(scratc1880006386nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc712927111d_e_is(aa_TPTP_ind_TPTP_ind(scratc719566192_d_1to,scratc282061420nd_n_2)),Uuc),scratc227913929d_n_1t),Uu,Uua),Uub)) # label(fact_ATP_Olambda__654) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 890 (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(scratc102755877bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183411315_image(Uu,Uua),Uub),Uuc),aa_TPTP_ind_TPTP_ind(scratc22673458d_soft(Uu,Uua,Uub),Uuc)),scratc1169782717ptyset)) # label(fact_ATP_Olambda__655) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 891 (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)) <-> scratc996096644d_and3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879612793nd_inf,Uub),aa_TPTP_ind_TPTP_ind(scratc8676528_class,Uu)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879612793nd_inf,Uuc),aa_TPTP_ind_TPTP_ind(scratc8676528_class,Uua)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uub),Uuc)))) # label(fact_ATP_Olambda__656) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 892 (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)) <-> scratc996096644d_and3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879612793nd_inf,Uub),aa_TPTP_ind_TPTP_ind(scratc8676528_class,Uu)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879612793nd_inf,Uuc),aa_TPTP_ind_TPTP_ind(scratc8676528_class,Uua)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uub),Uuc)))) # label(fact_ATP_Olambda__657) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 893 (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)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc712927111d_e_is(Uu),aa_TPTP_ind_TPTP_ind(scratc1226053384_first(Uu,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759553526d_pair(Uu,Uua),Uub),Uuc))),Uub)))) # label(fact_ATP_Olambda__658) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 894 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_abq(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc712927111d_e_is(Uua),aa_TPTP_ind_TPTP_ind(scratc1738843356second(Uu,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759553526d_pair(Uu,Uua),Uub),Uuc))),Uuc)))) # label(fact_ATP_Olambda__659) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 895 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_acf(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc712927111d_e_is(Uu),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,Uua),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,Uub),Uuc))))) # label(fact_ATP_Olambda__660) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 896 (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(scratc2013318955d_esti(Uu),Uub),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,Uua),Uuc))))) # label(fact_ATP_Olambda__661) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 897 (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(scratc712927111d_e_is(Uu),Uub),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,Uua),Uuc))))) # label(fact_ATP_Olambda__662) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 898 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aby(Uu),Uua),Uub),Uuc)) <-> scratc2128269225_is_of(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759553526d_pair(Uu,Uua),Uub),Uuc),aa_TPT43085870d_bool(aTP_Lamm_abu(Uu),Uua)))) # label(fact_ATP_Olambda__663) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 899 (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(scratc99680130d_l_ec(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2013318955d_esti(Uu),Uuc),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2013318955d_esti(Uu),Uuc),Uub))))) # label(fact_ATP_Olambda__664) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 900 (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(scratc1879547204nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2013318955d_esti(Uu),Uuc),Uua)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2013318955d_esti(Uu),Uuc),Uub))))) # label(fact_ATP_Olambda__665) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 901 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dd(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uua),Uub)),Uu)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uua),Uuc)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uub),Uuc)))))) # label(fact_ATP_Olambda__666) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 902 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hj(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uua),Uub)),Uu)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uua),Uuc)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uub),Uuc)))))) # label(fact_ATP_Olambda__667) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 903 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_acg(Uu),Uua),Uub),Uuc)) <-> (pp(aa_fun171081125l_bool(scratc639425392all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_acf(Uua),Uub),Uuc))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc712927111d_e_is(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1719206485d_d_Pi,Uu),aTP_Lamm_aj(Uua))),Uub),Uuc))))) # label(fact_ATP_Olambda__668) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 904 (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__669) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 905 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_py(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__670) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 906 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_uw(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__671) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 907 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pm(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__672) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 908 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_uk(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__673) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 909 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pq(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__674) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 910 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_uo(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__675) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 911 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pa(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__676) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 912 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ty(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1053471335moreis,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__677) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 913 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ow(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__678) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 914 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tu(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__679) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 915 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pi(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__680) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 916 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ug(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__681) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 917 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dh(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919225325lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919225325lesseq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919225325lesseq,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__682) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 918 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hn(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919225325lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919225325lesseq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919225325lesseq,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__683) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 919 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dt(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919225325lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__684) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 920 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hz(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919225325lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__685) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 921 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mq(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919225325lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919225325lesseq,Uub),Uuc))))))) # label(fact_ATP_Olambda__686) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 922 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706324_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706324_moreq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706324_moreq,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__687) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 923 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hr(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706324_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706324_moreq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706324_moreq,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__688) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 924 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_eb(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706324_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__689) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 925 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ih(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706324_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__690) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 926 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mu(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706324_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706324_moreq,Uub),Uuc))))))) # label(fact_ATP_Olambda__691) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 927 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dx(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706324_moreq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__692) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 928 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_id(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706324_moreq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__693) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 929 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ej(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__694) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 930 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ip(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__695) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 931 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ns(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uub),Uuc))))))) # label(fact_ATP_Olambda__696) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 932 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dp(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919225325lesseq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__697) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 933 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hv(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919225325lesseq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__698) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 934 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ef(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__699) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 935 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_il(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__700) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 936 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_no(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uub),Uuc))))))) # label(fact_ATP_Olambda__701) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 937 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_rj(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__702) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 938 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_rf(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uuc),Uua))))))) # label(fact_ATP_Olambda__703) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 939 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wq(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__704) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 940 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wm(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1365617091_29_ii,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uuc),Uua))))))) # label(fact_ATP_Olambda__705) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 941 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_rb(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__706) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 942 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qx(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uuc),Uua))))))) # label(fact_ATP_Olambda__707) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 943 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wi(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__708) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 944 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_we(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231587472d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uuc),Uua))))))) # label(fact_ATP_Olambda__709) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 945 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fr(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__710) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 946 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fn(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uuc),Uua))))))) # label(fact_ATP_Olambda__711) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 947 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jx(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__712) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 948 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jt(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1000706313_moref,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uuc),Uua))))))) # label(fact_ATP_Olambda__713) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 949 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fj(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__714) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 950 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ff(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uuc),Uua))))))) # label(fact_ATP_Olambda__715) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 951 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jp(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__716) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 952 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jl(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc654384517_lessf,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uuc),Uua))))))) # label(fact_ATP_Olambda__717) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 953 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gv(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309048d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__718) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 954 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lj(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc231325074d_n_eq,aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046652d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__719) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 955 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pe(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__720) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 956 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_uc(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc919487723lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__721) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 957 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pu(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232309061d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__722) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 958 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_us(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879284801nd_iii,aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc232046658d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__723) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 959 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_aci(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc712927111d_e_is(Uu),Uub),Uuc)) -> pp(aa_TPTP_ind_bool(Uua,Uuc)))))) # label(fact_ATP_Olambda__724) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 960 (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(scratc712927111d_e_is(Uu),Uub),Uuc)))))) # label(fact_ATP_Olambda__725) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 961 (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(scratc1813389561nd_all(Uu),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_bk(Uu),Uua),Uub),Uuc))))) # label(fact_ATP_Olambda__726) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 962 (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(scratc1897569848l_some(Uua),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bb(Uu),Uub),Uuc))))) # label(fact_ATP_Olambda__727) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 963 (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(scratc102231095bnd_ap,Uub),aa_TPTP_ind_TPTP_ind(scratc893179352ght1to(Uu,Uua),Uuc))) # label(fact_ATP_Olambda__728) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 964 (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(scratc102231095bnd_ap,Uub),aa_TPTP_ind_TPTP_ind(scratc1637978109eft1to(Uu,Uua),Uuc))) # label(fact_ATP_Olambda__729) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 965 (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(scratc1879547204nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc712927111d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,Uub),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,Uub),Uud))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc712927111d_e_is(Uu),Uuc),Uud))))) # label(fact_ATP_Olambda__730) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 966 (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(scratc712927111d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,Uub),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,Uub),Uud)))))) # label(fact_ATP_Olambda__731) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 967 (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(scratc639425392all_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__732) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 968 (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(scratc639425392all_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__733) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 969 (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(scratc102231095bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,aa_TPTP_ind_TPTP_ind(scratc979627425wissel(Uu,Uub),Uuc)),Uud))) # label(fact_ATP_Olambda__734) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 970 (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(scratc639425392all_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__735) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.04 971 (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(scratc712927111d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,Uub),Uuc)),Uue)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc102231095bnd_ap,Uub),Uud)),Uuf))))))) # label(fact_ATP_Olambda__736) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.16 972 (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(scratc639425392all_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__737) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.16 973 (all Uu all Uua (gg_TPTP_ind(Uu) -> aa_TPTP_ind_TPTP_ind(aTP_Lamm_aj(Uu),Uua) = Uu)) # label(fact_ATP_Olambda__738) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.16 974 (all Uu (gg_TPTP_ind(Uu) -> aa_TPTP_ind_TPTP_ind(aTP_Lamm_an,Uu) = Uu)) # label(fact_ATP_Olambda__739) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.16 975 (all Uu aa_TPTP_ind_TPTP_ind(aTP_Lamm_al,Uu) = scratc1920067545nd_nat) # label(fact_ATP_Olambda__740) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.16 976 (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].
% 1.62/2.16 977 (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].
% 1.62/2.16 978 (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].
% 1.62/2.16 979 (all P (gg_bool(P) -> P = fTrue | P = fFalse)) # label(help_fFalse_1_1_T) # label(axiom) # label(non_clause). [assumption].
% 1.62/2.16 980 (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].
% 1.62/2.16 981 (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].
% 1.62/2.16 982 (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].
% 1.62/2.16 983 (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].
% 1.62/2.16 984 (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].
% 1.62/2.16 985 (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].
% 1.62/2.16 986 (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].
% 1.62/2.16 987 (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].
% 1.62/2.16 988 (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].
% 1.62/2.16
% 1.62/2.16 ============================== end of process non-clausal formulas ===
% 1.62/2.16
% 1.62/2.16 ============================== PROCESS INITIAL CLAUSES ===============
% 1.62/2.16
% 1.62/2.16 ============================== PREDICATE ELIMINATION =================
% 1.62/2.16 989 -gg_bool(A) | A = fTrue | A = fFalse # label(help_fFalse_1_1_T) # label(axiom). [clausify(979)].
% 2.22/2.49 990 gg_bool(undefined_bool(bool)) # label(gsy_c_HOL_Oundefined_001t__HOL__Obool) # label(axiom). [assumption].
% 2.22/2.49 991 gg_bool(scratc772951858_amone(A,B)) # label(gsy_c_Scratch__tptp__translate__63417__16348_ONUM788__thf__4__p_Obnd__amone) # label(axiom). [clausify(1)].
% 2.22/2.49 992 gg_bool(scratc1115724827_d_and(A,B)) # label(gsy_c_Scratch__tptp__translate__63417__16348_ONUM788__thf__4__p_Obnd__d__and) # label(axiom). [clausify(2)].
% 2.22/2.49 993 gg_bool(scratc1223190007_d_not(A)) # label(gsy_c_Scratch__tptp__translate__63417__16348_ONUM788__thf__4__p_Obnd__d__not) # label(axiom). [clausify(3)].
% 2.22/2.49 994 gg_bool(scratc1845845133nd_ec3(A,B,C)) # label(gsy_c_Scratch__tptp__translate__63417__16348_ONUM788__thf__4__p_Obnd__ec3) # label(axiom). [clausify(4)].
% 2.22/2.49 995 gg_bool(scratc99680130d_l_ec(A,B)) # label(gsy_c_Scratch__tptp__translate__63417__16348_ONUM788__thf__4__p_Obnd__l__ec) # label(axiom). [clausify(8)].
% 2.22/2.49 996 gg_bool(scratc1929444168nd_or3(A,B,C)) # label(gsy_c_Scratch__tptp__translate__63417__16348_ONUM788__thf__4__p_Obnd__or3) # label(axiom). [clausify(9)].
% 2.22/2.49 997 gg_bool(aa_bool_bool(A,B)) # label(gsy_c_aa_001t__HOL__Obool_001t__HOL__Obool) # label(axiom). [clausify(10)].
% 2.22/2.49 998 gg_bool(aa_TPTP_ind_bool(A,B)) # label(gsy_c_aa_001t__TPTP____Interpret__Oind_001t__HOL__Obool) # label(axiom). [clausify(11)].
% 2.22/2.49 999 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)].
% 2.22/2.49 1000 gg_bool(fEx_TPTP_ind(A)) # label(gsy_c_fEx_001t__TPTP____Interpret__Oind) # label(axiom). [clausify(16)].
% 2.22/2.49 1001 gg_bool(fFalse) # label(gsy_c_fFalse) # label(axiom). [assumption].
% 2.22/2.49 1002 gg_bool(fTrue) # label(gsy_c_fTrue) # label(axiom). [assumption].
% 2.22/2.49 Derived: undefined_bool(bool) = fTrue | undefined_bool(bool) = fFalse. [resolve(989,a,990,a)].
% 2.22/2.49 Derived: scratc772951858_amone(A,B) = fTrue | scratc772951858_amone(A,B) = fFalse. [resolve(989,a,991,a)].
% 2.22/2.49 Derived: scratc1115724827_d_and(A,B) = fTrue | scratc1115724827_d_and(A,B) = fFalse. [resolve(989,a,992,a)].
% 2.22/2.49 Derived: scratc1223190007_d_not(A) = fTrue | scratc1223190007_d_not(A) = fFalse. [resolve(989,a,993,a)].
% 2.22/2.49 Derived: scratc1845845133nd_ec3(A,B,C) = fTrue | scratc1845845133nd_ec3(A,B,C) = fFalse. [resolve(989,a,994,a)].
% 2.22/2.49 Derived: scratc99680130d_l_ec(A,B) = fTrue | scratc99680130d_l_ec(A,B) = fFalse. [resolve(989,a,995,a)].
% 2.22/2.49 Derived: scratc1929444168nd_or3(A,B,C) = fTrue | scratc1929444168nd_or3(A,B,C) = fFalse. [resolve(989,a,996,a)].
% 2.22/2.49 Derived: aa_bool_bool(A,B) = fTrue | aa_bool_bool(A,B) = fFalse. [resolve(989,a,997,a)].
% 2.22/2.49 Derived: aa_TPTP_ind_bool(A,B) = fTrue | aa_TPTP_ind_bool(A,B) = fFalse. [resolve(989,a,998,a)].
% 2.22/2.49 Derived: aa_fun171081125l_bool(A,B) = fTrue | aa_fun171081125l_bool(A,B) = fFalse. [resolve(989,a,999,a)].
% 2.22/2.49 Derived: fEx_TPTP_ind(A) = fTrue | fEx_TPTP_ind(A) = fFalse. [resolve(989,a,1000,a)].
% 2.22/2.49 Derived: fFalse = fTrue | fFalse = fFalse. [resolve(989,a,1001,a)].
% 2.22/2.49 Derived: fTrue = fTrue | fTrue = fFalse. [resolve(989,a,1002,a)].
% 2.22/2.49 1003 scratc494614920d_r_ec(A,B) | pp(A) # label(fact_def__r__ec) # label(axiom). [clausify(106)].
% 2.22/2.49 1004 -scratc494614920d_r_ec(A,B) | -pp(A) | pp(scratc1223190007_d_not(B)) # label(fact_def__r__ec) # label(axiom). [clausify(106)].
% 2.22/2.49 1005 scratc494614920d_r_ec(A,B) | -pp(scratc1223190007_d_not(B)) # label(fact_def__r__ec) # label(axiom). [clausify(106)].
% 2.22/2.49 1006 scratc2009866277_l_iff(A,B) | -pp(scratc1115724827_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1879547204nd_imp,A),B),aa_bool_bool(aa_boo1142376798l_bool(scratc1879547204nd_imp,B),A))) # label(fact_def__l__iff) # label(axiom). [clausify(138)].
% 2.22/2.49 1007 -scratc2009866277_l_iff(A,B) | pp(scratc1115724827_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1879547204nd_imp,A),B),aa_bool_bool(aa_boo1142376798l_bool(scratc1879547204nd_imp,B),A))) # label(fact_def__l__iff) # label(axiom). [clausify(138)].
% 2.22/2.49 1008 scratc1220010857d_orec(A,B) | -pp(scratc1115724827_d_and(aa_bool_bool(scratc100336135d_l_or(A),B),scratc99680130d_l_ec(A,B))) # label(fact_def__orec) # label(axiom). [clausify(139)].
% 4.73/4.98 1009 -scratc1220010857d_orec(A,B) | pp(scratc1115724827_d_and(aa_bool_bool(scratc100336135d_l_or(A),B),scratc99680130d_l_ec(A,B))) # label(fact_def__orec) # label(axiom). [clausify(139)].
% 4.73/4.98 1010 scratc1994683478nd_wel(A) | -pp(scratc1223190007_d_not(scratc1223190007_d_not(A))) # label(fact_def__wel) # label(axiom). [clausify(144)].
% 4.73/4.98 1011 -scratc1994683478nd_wel(A) | pp(scratc1223190007_d_not(scratc1223190007_d_not(A))) # label(fact_def__wel) # label(axiom). [clausify(144)].
% 4.73/4.98 1012 -scratc1994683478nd_wel(A) | pp(A) # label(fact_l__et) # label(axiom). [clausify(196)].
% 4.73/4.98 Derived: pp(A) | -pp(scratc1223190007_d_not(scratc1223190007_d_not(A))). [resolve(1012,a,1010,a)].
% 4.73/4.98
% 4.73/4.98 ============================== end predicate elimination =============
% 4.73/4.98
% 4.73/4.98 Auto_denials: (non-Horn, no changes).
% 4.73/4.98
% 4.73/4.98 Term ordering decisions:
% 4.73/4.98 Function symbol KB weights: aTP_Lamm_lc=1. aTP_Lamm_cz=1. scratc231325074d_n_eq=1. scratc231587472d_n_is=1. scratc654384517_lessf=1. scratc1000706313_moref=1. scratc1879284801nd_iii=1. scratc1365617091_29_ii=1. scratc102755885bnd_in=1. scratc1869534971rdsucc=1. scratc919487723lessis=1. scratc102231095bnd_ap=1. scratc1053471335moreis=1. scratc282061419nd_n_1=1. aTP_Lamm_au=1. scratc919225325lesseq=1. scratc1000706324_moreq=1. aTP_Lamm_a=1. scratc1920067545nd_nat=1. scratc1133920905_Sigma=1. scratc1169782717ptyset=1. scratc1837714885nd_den=1. scratc231390674d_n_fr=1. scratc636914614d_frac=1. scratc1719206485d_d_Pi=1. scratc1920592336nd_nis=1. scratc173054068_rt_is=1. scratc1921379518nd_num=1. scratc493910842n_some=1. fFalse=1. scratc165739421_power=1. scratc2014913431_nat_p=1. scratc1879547204nd_imp=1. scratc758693855t_more=1. scratc1307610839d_repl=1. scratc2043040867t_less=1. scratc1879612793nd_inf=1. scratc8676528_class=1. fTrue=1. scratc540698651_n_all=1. scratc1860414882d_pair=1. aTP_Lamm_al=1. scratc1909615789d_Subq=1. scratc1953113565nd_rat=1. scratc215026647closed=1. scratc282061420nd_n_2=1. scratc294253259_proj0=1. scratc673001287_union=1. aTP_Lamm_ar=1. scratc231587467d_n_in=1. scratc294253260_proj1=1. scratc84241709lessis=1. aTP_Lamm_abl=1. aTP_Lamm_aq=1. scratc218225321moreis=1. scratc335317087closed=1. scratc500050101closed=1. scratc719566192_d_1to=1. aTP_Lamm_aa=1. aTP_Lamm_abc=1. aTP_Lamm_abg=1. aTP_Lamm_abh=1. aTP_Lamm_ak=1. aTP_Lamm_cb=1. aTP_Lamm_cd=1. aTP_Lamm_cf=1. aTP_Lamm_ch=1. aTP_Lamm_cj=1. aTP_Lamm_cl=1. aTP_Lamm_cw=1. aTP_Lamm_hc=1. aTP_Lamm_he=1. aTP_Lamm_hh=1. aTP_Lamm_lo=1. aTP_Lamm_mm=1. aTP_Lamm_mo=1. aTP_Lamm_my=1. aTP_Lamm_na=1. aTP_Lamm_nc=1. aTP_Lamm_ne=1. aTP_Lamm_ng=1. aTP_Lamm_ni=1. aTP_Lamm_nk=1. aTP_Lamm_nm=1. aTP_Lamm_nw=1. aTP_Lamm_ny=1. aTP_Lamm_ot=1. aTP_Lamm_tb=1. aTP_Lamm_td=1. aTP_Lamm_tf=1. aTP_Lamm_th=1. aTP_Lamm_tj=1. aTP_Lamm_tl=1. aTP_Lamm_tn=1. aTP_Lamm_tp=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. aTP_Lamm_zc=1. aTP_Lamm_ze=1. aTP_Lamm_zg=1. scratc1087267889_prop2=1. scratc1179442033_prop2=1. scratc1611392121_omega=1. scratc488888936d_Inj1=1. scratc775647028closed=1. aTP_Lamm_aac=1. aTP_Lamm_aae=1. aTP_Lamm_aag=1. aTP_Lamm_aaj=1. aTP_Lamm_aal=1. aTP_Lamm_aao=1. aTP_Lamm_aar=1. aTP_Lamm_aau=1. aTP_Lamm_aax=1. aTP_Lamm_aaz=1. aTP_Lamm_aba=1. aTP_Lamm_abf=1. aTP_Lamm_as=1. aTP_Lamm_br=1. aTP_Lamm_bt=1. aTP_Lamm_bu=1. aTP_Lamm_cn=1. aTP_Lamm_cp=1. aTP_Lamm_cr=1. aTP_Lamm_cu=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_eh=1. aTP_Lamm_el=1. aTP_Lamm_eo=1. aTP_Lamm_er=1. aTP_Lamm_eu=1. aTP_Lamm_ex=1. aTP_Lamm_fa=1. aTP_Lamm_fd=1. aTP_Lamm_fh=1. aTP_Lamm_fl=1. aTP_Lamm_fp=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_go=1. aTP_Lamm_gr=1. aTP_Lamm_gt=1. aTP_Lamm_gx=1. aTP_Lamm_ha=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_in=1. aTP_Lamm_ir=1. aTP_Lamm_iu=1. aTP_Lamm_ix=1. aTP_Lamm_ja=1. aTP_Lamm_jd=1. aTP_Lamm_jg=1. aTP_Lamm_jj=1. aTP_Lamm_jn=1. aTP_Lamm_jr=1. aTP_Lamm_jv=1. aTP_Lamm_jz=1. aTP_Lamm_kc=1. aTP_Lamm_kf=1. aTP_Lamm_ki=1. aTP_Lamm_kl=1. aTP_Lamm_ko=1. aTP_Lamm_kr=1. aTP_Lamm_kt=1. aTP_Lamm_kv=1. aTP_Lamm_ky=1. aTP_Lamm_la=1. aTP_Lamm_le=1. aTP_Lamm_lh=1. aTP_Lamm_ll=1. aTP_Lamm_lq=1. aTP_Lamm_ls=1. aTP_Lamm_lv=1. aTP_Lamm_ly=1. aTP_Lamm_mb=1. aTP_Lamm_me=1. aTP_Lamm_mh=1. aTP_Lamm_mk=1. aTP_Lamm_ms=1. aTP_Lamm_mw=1. aTP_Lamm_nq=1. aTP_Lamm_nu=1. aTP_Lamm_oa=1. aTP_Lamm_oc=1. aTP_Lamm_oe=1. aTP_Lamm_oh=1. aTP_Lamm_ok=1. aTP_Lamm_om=1. aTP_Lamm_oo=1. aTP_Lamm_or=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_pw=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_qs=1. aTP_Lamm_qv=1. aTP_Lamm_qz=1. aTP_Lamm_rd=1. aTP_Lamm_rh=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_sg=1. aTP_Lamm_sj=1. aTP_Lamm_sl=1. aTP_Lamm_sn=1. aTP_Lamm_sq=1. aTP_Lamm_st=1. aTP_Lamm_sw=1. aTP_Lamm_sz=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_uu=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_vz=1. aTP_Lamm_wc=1. aTP_Lamm_wg=1. aTP_Lamm_wk=1. aTP_Lamm_wo=1. aTP_Lamm_ws=1. aTP_Lamm_wv=1. aTP_Lamm_wy=1. aTP_Lamm_xb=1. aTP_Lamm_xe=1. aTP_Lamm_xh=1. aTP_Lamm_xk=1. aTP_Lamm_xo=1. aTP_Lamm_xq=1. aTP_Lamm_xt=1. aTP_Lamm_xw=1. aTP_Lamm_xz=1. aTP_Lamm_yc=1. aTP_Lamm_yf=1. aTP_Lamm_yi=1. aTP_Lamm_zi=1. aTP_Lamm_zk=1. aTP_Lamm_zm=1. aTP_Lamm_zo=1. aTP_Lamm_zq=1. aTP_Lamm_zu=1. aTP_Lamm_zw=1. aTP_Lamm_zz=1. fconj=1. fimplies=1. scratc1087267888_prop1=1. scratc1179442032_prop1=1. scratc1811264907d_Sing=1. scratc227913929d_n_1t=1. scratc309369992_cond2=1. scratc488888935d_Inj0=1. scratc656490912_n_one=1. aTP_Lamm_aaa=1. aTP_Lamm_aad=1. aTP_Lamm_aaf=1. aTP_Lamm_aah=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_aat=1. aTP_Lamm_aav=1. aTP_Lamm_aaw=1. aTP_Lamm_aay=1. aTP_Lamm_abb=1. aTP_Lamm_abd=1. aTP_Lamm_abe=1. aTP_Lamm_abi=1. aTP_Lamm_abj=1. aTP_Lamm_abk=1. aTP_Lamm_abn=1. aTP_Lamm_ack=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_co=1. aTP_Lamm_cq=1. aTP_Lamm_cs=1. aTP_Lamm_cv=1. aTP_Lamm_cx=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_ei=1. aTP_Lamm_em=1. aTP_Lamm_ep=1. aTP_Lamm_es=1. aTP_Lamm_ev=1. aTP_Lamm_ey=1. aTP_Lamm_fb=1. aTP_Lamm_fe=1. aTP_Lamm_fi=1. aTP_Lamm_fm=1. aTP_Lamm_fq=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_gp=1. aTP_Lamm_gs=1. aTP_Lamm_gu=1. aTP_Lamm_gy=1. aTP_Lamm_hb=1. aTP_Lamm_hd=1. aTP_Lamm_hf=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_io=1. aTP_Lamm_is=1. aTP_Lamm_iv=1. aTP_Lamm_iy=1. aTP_Lamm_jb=1. aTP_Lamm_je=1. aTP_Lamm_jh=1. aTP_Lamm_jk=1. aTP_Lamm_jo=1. aTP_Lamm_js=1. aTP_Lamm_jw=1. aTP_Lamm_ka=1. aTP_Lamm_kd=1. aTP_Lamm_kg=1. aTP_Lamm_kj=1. aTP_Lamm_km=1. aTP_Lamm_kp=1. aTP_Lamm_ks=1. aTP_Lamm_ku=1. aTP_Lamm_kw=1. aTP_Lamm_kz=1. aTP_Lamm_lb=1. aTP_Lamm_lf=1. aTP_Lamm_li=1. aTP_Lamm_lm=1. aTP_Lamm_lp=1. aTP_Lamm_lr=1. aTP_Lamm_lt=1. aTP_Lamm_lw=1. aTP_Lamm_lz=1. aTP_Lamm_mc=1. aTP_Lamm_mf=1. aTP_Lamm_mi=1. aTP_Lamm_ml=1. aTP_Lamm_mn=1. aTP_Lamm_mp=1. aTP_Lamm_mt=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_nj=1. aTP_Lamm_nl=1. aTP_Lamm_nn=1. aTP_Lamm_nr=1. aTP_Lamm_nv=1. aTP_Lamm_nx=1. aTP_Lamm_nz=1. aTP_Lamm_ob=1. aTP_Lamm_od=1. aTP_Lamm_of=1. aTP_Lamm_oi=1. aTP_Lamm_ol=1. aTP_Lamm_on=1. aTP_Lamm_op=1. aTP_Lamm_os=1. aTP_Lamm_ou=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_px=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_qt=1. aTP_Lamm_qw=1. aTP_Lamm_ra=1. aTP_Lamm_re=1. aTP_Lamm_ri=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_sh=1. aTP_Lamm_sk=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_sv=1. aTP_Lamm_sx=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_tm=1. aTP_Lamm_to=1. aTP_Lamm_tq=1. aTP_Lamm_tr=1. aTP_Lamm_ts=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_uv=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_wa=1. aTP_Lamm_wd=1. aTP_Lamm_wh=1. aTP_Lamm_wl=1. aTP_Lamm_wp=1. aTP_Lamm_wt=1. aTP_Lamm_ww=1. aTP_Lamm_wz=1. aTP_Lamm_xc=1. aTP_Lamm_xf=1. aTP_Lamm_xi=1. aTP_Lamm_xl=1. aTP_Lamm_xm=1. aTP_Lamm_xn=1. aTP_Lamm_xp=1. aTP_Lamm_xr=1. aTP_Lamm_xu=1. aTP_Lamm_xx=1. aTP_Lamm_ya=1. aTP_Lamm_yd=1. aTP_Lamm_yg=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_zn=1. aTP_Lamm_zp=1. aTP_Lamm_zr=1. aTP_Lamm_zv=1. aTP_Lamm_zx=1. fequal_TPTP_ind=1. scratc1016586773_d_Unj=1. scratc1918493163nd_nIn=1. scratc227979528d_n_2t=1. scratc300486565univof=1. scratc309369991_cond1=1. aTP_Lamm_ab=1. aTP_Lamm_an=1. aTP_Lamm_at=1. aTP_Lamm_bv=1. aTP_Lamm_bw=1. bool=1. scratc1044896837_empty=1. scratc116508590_prop1=1. scratc1179442035_prop4=1. scratc1455377704nempty=1. scratc1535223269munion=1. scratc1693968249428_id=1. scratc1726284942pair_p=1. scratc1767804207_prop1=1. scratc1881595115_prop1=1. scratc1952078626d_plus=1. scratc2058027186_prop1=1. scratc2105341982_times=1. scratc227913924d_n_1o=1. scratc294646857_prop4=1. scratc498905713_prop1=1. scratc604263049r1type=1. scratc615895054rt_nis=1. scratc704870765_prop1=1. scratc1091132153d_1out=1. scratc1146921758t_some=1. scratc1458511965air_u0=1. scratc1547062377d_24_g=1. scratc1575771843d_i1_s=1. scratc173054063_rt_in=1. scratc1779109790d_xout=1. scratc196346793_428_g=1. scratc508692279rt_all=1. scratc564069849d_fixf=1. scratc624484540rt_one=1. scratc82453268_ratof=1. scratc82475167let_u0=1. tPTP_ind=1. aa_TPT43085870d_bool=1. aa_TPTP_ind_bool=1. aa_fun171081125l_bool=1. aa_TPTP_ind_TPTP_ind=1. aa_TPT60673477d_bool=1. aa_TPT1424761345TP_ind=1. aa_fun277296641TP_ind=1. aa_TPT494704832TP_ind=1. aa_bool_bool=1. aa_fun1584354236d_bool=1. scratc1115724827_d_and=1. aa_fun1431113780TP_ind=1. aa_boo1142376798l_bool=1. aa_TPT1123896796d_bool=1. scratc102755877bnd_if=1. scratc99680130d_l_ec=1. aa_fun1212484691d_bool=1. scratc1879612791nd_ind=1. scratc712927106d_e_in=1. aa_TPT1791839040TP_ind=1. aa_TPT985247859d_bool=1. scratc759553526d_pair=1. aa_fun987228051d_bool=1. scratc772951858_amone=1. scratc1183411315_image=1. scratc1226053384_first=1. scratc1738843356second=1. aa_TPT125613450d_bool=1. scratc1920985925nd_non=1. aa_fun1913827119d_bool=1. scratc996162291d_anec=1. aa_fun1107270209d_bool=1. aa_fun845057962d_bool=1. scratc1736967696_ecect=1. scratc1737558087_ecelt=1. scratc1845845194nd_ecp=1. scratc460841235eplSep=1. scratc1845845198nd_ect=1. scratc1929641030nd_out=1. scratc599574102fixfu2=1. aa_TPT1781712639TP_ind=1. aa_TPT2142672771l_bool=1. aa_fun1235454963TP_ind=1. cOMBB_658106424TP_ind=1. cOMBS_2003118649l_bool=1. scratc1111600628ectset=1. scratc1274769628_fixfu=1. scratc1637978109eft1to=1. scratc2044864309etprop=1. scratc294646913_propl=1. scratc294646914_propm=1. scratc893179352ght1to=1. scratc979627425wissel=1. scratc996398751ectelt=1. scratc1217717974unmore=1. scratc1267782664nverse=1. scratc799524125d_invf=1. scratc803260656d_tofs=1. f1=1. f12=1. f13=1. f20=1. f24=1. scratc639425392all_of=1. scratc232046658d_n_pl=1. scratc232309061d_n_ts=1. scratc232046652d_n_pf=1. scratc232309048d_n_tf=1. scratc1223190007_d_not=1. scratc712927111d_e_is=1. scratc1897569848l_some=1. scratc999473378_d_Sep=1. scratc2013318955d_esti=1. scratc100336135d_l_or=1. scratc304196016ffprop=1. scratc1813389561nd_all=1. scratc1929181822nd_one=1. aTP_Lamm_aj=1. scratc1245779368d_outn=1. scratc477123128_rec_G=1. aTP_Lamm_abu=1. aTP_Lamm_mq=1. aTP_Lamm_mu=1. aTP_Lamm_no=1. aTP_Lamm_ns=1. scratc1454525887_367_w=1. aTP_Lamm_abm=1. aTP_Lamm_aci=1. aTP_Lamm_ao=1. aTP_Lamm_av=1. aTP_Lamm_bf=1. aTP_Lamm_bn=1. aTP_Lamm_ca=1. aTP_Lamm_ct=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_ej=1. aTP_Lamm_ff=1. aTP_Lamm_fj=1. aTP_Lamm_fn=1. aTP_Lamm_fr=1. aTP_Lamm_gv=1. aTP_Lamm_gz=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_ip=1. aTP_Lamm_jl=1. aTP_Lamm_jp=1. aTP_Lamm_jt=1. aTP_Lamm_jx=1. aTP_Lamm_lj=1. aTP_Lamm_lu=1. aTP_Lamm_lx=1. aTP_Lamm_ma=1. aTP_Lamm_md=1. aTP_Lamm_mg=1. aTP_Lamm_mj=1. aTP_Lamm_oq=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_py=1. aTP_Lamm_qx=1. aTP_Lamm_rb=1. aTP_Lamm_rf=1. aTP_Lamm_rj=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_uw=1. aTP_Lamm_we=1. aTP_Lamm_wi=1. aTP_Lamm_wm=1. aTP_Lamm_wq=1. aTP_Lamm_xs=1. aTP_Lamm_xv=1. aTP_Lamm_xy=1. aTP_Lamm_yb=1. aTP_Lamm_ye=1. aTP_Lamm_yh=1. aTP_Lamm_zs=1. scratc798277750d_incl=1. aTP_Lamm_aab=1. aTP_Lamm_ace=1. aTP_Lamm_acg=1. aTP_Lamm_az=1. aTP_Lamm_bj=1. aTP_Lamm_bm=1. aTP_Lamm_bq=1. aTP_Lamm_en=1. aTP_Lamm_eq=1. aTP_Lamm_et=1. aTP_Lamm_ew=1. aTP_Lamm_ez=1. aTP_Lamm_fc=1. aTP_Lamm_fv=1. aTP_Lamm_fy=1. aTP_Lamm_gb=1. aTP_Lamm_ge=1. aTP_Lamm_gh=1. aTP_Lamm_gk=1. aTP_Lamm_it=1. aTP_Lamm_iw=1. aTP_Lamm_iz=1. aTP_Lamm_jc=1. aTP_Lamm_jf=1. aTP_Lamm_ji=1. aTP_Lamm_kb=1. aTP_Lamm_ke=1. aTP_Lamm_kh=1. aTP_Lamm_kk=1. aTP_Lamm_kn=1. aTP_Lamm_kq=1. aTP_Lamm_qc=1. aTP_Lamm_qf=1. aTP_Lamm_qi=1. aTP_Lamm_ql=1. aTP_Lamm_qo=1. aTP_Lamm_qr=1. aTP_Lamm_qu=1. aTP_Lamm_rn=1. aTP_Lamm_rq=1. aTP_Lamm_rt=1. aTP_Lamm_rw=1. aTP_Lamm_rz=1. aTP_Lamm_sc=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_vy=1. aTP_Lamm_wb=1. aTP_Lamm_wu=1. aTP_Lamm_wx=1. aTP_Lamm_xa=1. aTP_Lamm_xd=1. aTP_Lamm_xg=1. aTP_Lamm_xj=1. aTP_Lamm_zy=1. scratc1503458065etprod=1. scratc1846697984nd_eps=1. scratc1879612801nd_inn=1. scratc409976095ective=1. aTP_Lamm_aai=1. aTP_Lamm_abo=1. aTP_Lamm_abp=1. aTP_Lamm_abq=1. aTP_Lamm_abs=1. aTP_Lamm_aby=1. aTP_Lamm_ac=1. aTP_Lamm_aca=1. aTP_Lamm_acb=1. aTP_Lamm_acf=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_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_ek=1. aTP_Lamm_fg=1. aTP_Lamm_fk=1. aTP_Lamm_fo=1. aTP_Lamm_fs=1. aTP_Lamm_gn=1. aTP_Lamm_gq=1. aTP_Lamm_gw=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_iq=1. aTP_Lamm_jm=1. aTP_Lamm_jq=1. aTP_Lamm_ju=1. aTP_Lamm_jy=1. aTP_Lamm_kx=1. aTP_Lamm_ld=1. aTP_Lamm_lg=1. aTP_Lamm_lk=1. aTP_Lamm_ln=1. aTP_Lamm_mr=1. aTP_Lamm_mv=1. aTP_Lamm_np=1. aTP_Lamm_nt=1. aTP_Lamm_og=1. aTP_Lamm_oj=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_pz=1. aTP_Lamm_qy=1. aTP_Lamm_rc=1. aTP_Lamm_rg=1. aTP_Lamm_rk=1. aTP_Lamm_sf=1. aTP_Lamm_si=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_ux=1. aTP_Lamm_wf=1. aTP_Lamm_wj=1. aTP_Lamm_wn=1. aTP_Lamm_wr=1. aTP_Lamm_zt=1. fEx_TPTP_ind=1. scratc1580609604ective=1. scratc1593616289lbprop=1. scratc1912330826nd_min=1. scratc231784252d_n_lb=1. scratc381596720nCputime limit exceeded (core dumped)
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