TSTP Solution File: NUM784+4 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : NUM784+4 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 13:32:05 EDT 2022
% Result : Timeout 300.04s 300.29s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM784+4 : TPTP v8.1.0. Released v7.3.0.
% 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.33 % Computer : n008.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue Jul 5 17:00:53 EDT 2022
% 0.11/0.33 % CPUTime :
% 1.46/1.73 ============================== Prover9 ===============================
% 1.46/1.73 Prover9 (32) version 2009-11A, November 2009.
% 1.46/1.73 Process 11295 was started by sandbox on n008.cluster.edu,
% 1.46/1.73 Tue Jul 5 17:00:54 2022
% 1.46/1.73 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_11125_n008.cluster.edu".
% 1.46/1.73 ============================== end of head ===========================
% 1.46/1.73
% 1.46/1.73 ============================== INPUT =================================
% 1.46/1.73
% 1.46/1.73 % Reading from file /tmp/Prover9_11125_n008.cluster.edu
% 1.46/1.73
% 1.46/1.73 set(prolog_style_variables).
% 1.46/1.73 set(auto2).
% 1.46/1.73 % set(auto2) -> set(auto).
% 1.46/1.73 % set(auto) -> set(auto_inference).
% 1.46/1.73 % set(auto) -> set(auto_setup).
% 1.46/1.73 % set(auto_setup) -> set(predicate_elim).
% 1.46/1.73 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.46/1.73 % set(auto) -> set(auto_limits).
% 1.46/1.73 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.46/1.73 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.46/1.73 % set(auto) -> set(auto_denials).
% 1.46/1.73 % set(auto) -> set(auto_process).
% 1.46/1.73 % set(auto2) -> assign(new_constants, 1).
% 1.46/1.73 % set(auto2) -> assign(fold_denial_max, 3).
% 1.46/1.73 % set(auto2) -> assign(max_weight, "200.000").
% 1.46/1.73 % set(auto2) -> assign(max_hours, 1).
% 1.46/1.73 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.46/1.73 % set(auto2) -> assign(max_seconds, 0).
% 1.46/1.73 % set(auto2) -> assign(max_minutes, 5).
% 1.46/1.73 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.46/1.73 % set(auto2) -> set(sort_initial_sos).
% 1.46/1.73 % set(auto2) -> assign(sos_limit, -1).
% 1.46/1.73 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.46/1.73 % set(auto2) -> assign(max_megs, 400).
% 1.46/1.73 % set(auto2) -> assign(stats, some).
% 1.46/1.73 % set(auto2) -> clear(echo_input).
% 1.46/1.73 % set(auto2) -> set(quiet).
% 1.46/1.73 % set(auto2) -> clear(print_initial_clauses).
% 1.46/1.73 % set(auto2) -> clear(print_given).
% 1.46/1.73 assign(lrs_ticks,-1).
% 1.46/1.73 assign(sos_limit,10000).
% 1.46/1.73 assign(order,kbo).
% 1.46/1.73 set(lex_order_vars).
% 1.46/1.73 clear(print_given).
% 1.46/1.73
% 1.46/1.73 % formulas(sos). % not echoed (1272 formulas)
% 1.46/1.73
% 1.46/1.73 ============================== end of input ==========================
% 1.46/1.73
% 1.46/1.73 % From the command line: assign(max_seconds, 300).
% 1.46/1.73
% 1.46/1.73 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.46/1.73
% 1.46/1.73 % Formulas that are not ordinary clauses:
% 1.46/1.73 1 (all B_1 all B_2 gg_bool(scratc1587274783_amone(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__62605__5211_ONUM784__thf__4__p_Obnd__amone) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.73 2 (all B_1 all B_2 gg_bool(scratc1229537902_d_and(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__62605__5211_ONUM784__thf__4__p_Obnd__d__and) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.73 3 (all B_1 gg_bool(scratc1337003082_d_not(B_1))) # label(gsy_c_Scratch__tptp__translate__62605__5211_ONUM784__thf__4__p_Obnd__d__not) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.73 4 (all B_1 all B_2 all B_3 gg_bool(scratc1819269114nd_ec3(B_1,B_2,B_3))) # label(gsy_c_Scratch__tptp__translate__62605__5211_ONUM784__thf__4__p_Obnd__ec3) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.73 5 (all B_1 all B_2 gg_TPTP_ind(scratc1819269179nd_ect(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__62605__5211_ONUM784__thf__4__p_Obnd__ect) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.73 6 (all B_1 gg_TPTP_ind(scratc1820121965nd_eps(B_1))) # label(gsy_c_Scratch__tptp__translate__62605__5211_ONUM784__thf__4__p_Obnd__eps) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.73 7 (all B_1 all B_2 gg_TPTP_ind(scratc1853036772nd_ind(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__62605__5211_ONUM784__thf__4__p_Obnd__ind) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.73 8 (all B_1 all B_2 gg_bool(scratc914003055d_l_ec(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__62605__5211_ONUM784__thf__4__p_Obnd__l__ec) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.73 9 (all B_1 all B_2 all B_3 gg_bool(scratc1902868149nd_or3(B_1,B_2,B_3))) # label(gsy_c_Scratch__tptp__translate__62605__5211_ONUM784__thf__4__p_Obnd__or3) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.73 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].
% 1.46/1.73 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].
% 1.46/1.73 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].
% 1.46/1.73 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].
% 1.46/1.73 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].
% 1.46/1.73 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].
% 1.46/1.73 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].
% 1.46/1.73 17 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc252371072lessis,X),Xa)) <-> pp(aa_bool_bool(scratc914659060d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc58392886t_less,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc286867143_rt_is,X),Xa))))) # label(fact_def__rt__lessis) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.73 18 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc386354684moreis,X),Xa)) <-> pp(aa_bool_bool(scratc914659060d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc921529522t_more,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc286867143_rt_is,X),Xa))))) # label(fact_def__rt__moreis) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.73 19 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1108969838_propl(X,Xa),Xb),Xc)) <-> scratc1392548439d_and3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1853036774nd_inf,Xb),aa_TPTP_ind_TPTP_ind(scratc822999453_class,X)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1853036774nd_inf,Xc),aa_TPTP_ind_TPTP_ind(scratc822999453_class,Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Xb),Xc)))) # label(fact_def__propl) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.73 20 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc58392886t_less,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1120832677l_some(scratc1033366409d_frac),aa_TPT43085870d_bool(aTP_Lamm_ad(X),Xa))))) # label(fact_def__rt__less) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.73 21 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1108969839_propm(X,Xa),Xb),Xc)) <-> scratc1392548439d_and3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1853036774nd_inf,Xb),aa_TPTP_ind_TPTP_ind(scratc822999453_class,X)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1853036774nd_inf,Xc),aa_TPTP_ind_TPTP_ind(scratc822999453_class,Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Xb),Xc)))) # label(fact_def__propm) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.73 22 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc921529522t_more,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1120832677l_some(scratc1033366409d_frac),aa_TPT43085870d_bool(aTP_Lamm_af(X),Xa))))) # label(fact_def__rt__more) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.73 23 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc603247073indrat(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc496897026indeq2(scratc1033366409d_frac,scratc1045647999d_n_eq,Xb,Xc,X),Xa)) # label(fact_def__indrat) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.73 24 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1986641531rt_nis,X),Xa)) <-> pp(scratc1337003082_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc286867143_rt_is,X),Xa))))) # label(fact_def__rt__nis) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.73 25 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1091868139_477_v(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1045713599d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1894803499nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1811138866nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1811138866nd_den,X)),aa_TPTP_ind_TPTP_ind(scratc1894803499nd_num,Xa)))) # label(fact_def__d__477__v) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.73 26 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1045713599d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1894803499nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1894803499nd_num,Xa))),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1811138866nd_den,X)),aa_TPTP_ind_TPTP_ind(scratc1811138866nd_den,Xa)))) # label(fact_def__n__tf) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.73 27 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1727780268_367_w(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1045713599d_n_fr,aa_TPTP_ind_TPTP_ind(scratc765760900367_vo(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1811138866nd_den,X)),aa_TPTP_ind_TPTP_ind(scratc1811138866nd_den,Xa)))) # label(fact_def__d__367__w) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.73 28 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc765760900367_vo(X),Xa) = scratc1853036772nd_ind(scratc1893491526nd_nat,aa_TPT43085870d_bool(scratc467031683ffprop(aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1894803499nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1811138866nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1894803499nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1811138866nd_den,X))))) # label(fact_def__d__367__vo) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.73 29 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1045713599d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1894803499nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1811138866nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1894803499nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1811138866nd_den,X)))),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1811138866nd_den,X)),aa_TPTP_ind_TPTP_ind(scratc1811138866nd_den,Xa)))) # label(fact_def__n__pf) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.73 30 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033038400lesseq,X),Xa)) <-> pp(aa_bool_bool(scratc914659060d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,X),Xa))))) # label(fact_def__lesseq) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.73 31 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029249_moreq,X),Xa)) <-> pp(aa_bool_bool(scratc914659060d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,X),Xa))))) # label(fact_def__moreq) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.73 32 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1894803499nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1811138866nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1894803499nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1811138866nd_den,X)))))) # label(fact_def__lessf) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.73 33 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1894803499nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1811138866nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1894803499nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1811138866nd_den,X)))))) # label(fact_def__moref) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 34 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1894803499nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1811138866nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1894803499nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1811138866nd_den,X)))))) # label(fact_def__n__eq) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 35 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1917671118eft_f2(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc1314850754d_left(X,Xa,Xb),aa_TPTP_ind_TPTP_ind(scratc1917671117eft_f1(X,Xa,Xb),Xc))) # label(fact_def__left__f2) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 36 (all X all Xa all Xb scratc1917671117eft_f1(X,Xa,Xb) = scratc1314850754d_left(X,Xb,Xa)) # label(fact_def__left__f1) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 37 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc591164097_right(X,Xa,Xb),Xc) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1296756572_Sigma,aa_TPTP_ind_TPTP_ind(scratc833379267_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].
% 1.46/1.74 38 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1314850754d_left(X,Xa,Xb),Xc) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1296756572_Sigma,aa_TPTP_ind_TPTP_ind(scratc833379267_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].
% 1.46/1.74 39 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1056015019ght1to(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc1642231163d_outn(aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(X),aa_TPTP_ind_TPTP_ind(scratc1853036782nd_inn(Xa),Xb)))) # label(fact_def__right1to) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 40 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc861240938eft1to(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc1642231163d_outn(X),aa_TPTP_ind_TPTP_ind(scratc1853036782nd_inn(Xa),Xb))) # label(fact_def__left1to) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 41 (all X aa_TPTP_ind_TPTP_ind(scratc28077937d_xout,X) = aa_TPTP_ind_TPTP_ind(scratc1642231163d_outn(X),X)) # label(fact_def__xout) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 42 (all X aa_TPTP_ind_TPTP_ind(scratc314394982d_1out,X) = aa_TPTP_ind_TPTP_ind(scratc1642231163d_outn(X),scratc678513214nd_n_1)) # label(fact_def__d__1out) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 43 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1621085236air_q0(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc674451452_pair1(X),aa_TPTP_ind_TPTP_ind(scratc432165244first1(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc2014609602econd1(X),Xa))) # label(fact_def__pair__q0) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 44 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc2014609602econd1(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,Xa),scratc1042302453d_n_2t)) # label(fact_def__second1) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 45 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc432165244first1(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,Xa),scratc1042236854d_n_1t)) # label(fact_def__first1) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 46 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc674451452_pair1(X),Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1296756572_Sigma,aa_TPTP_ind_TPTP_ind(scratc833379267_d_1to,scratc678513215nd_n_2)),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ai(X),Xa),Xb))) # label(fact_def__pair1) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 47 (all X aa_TPTP_ind_TPTP_ind(scratc877517430r1type,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc386045762d_d_Pi,aa_TPTP_ind_TPTP_ind(scratc833379267_d_1to,scratc678513215nd_n_2)),aTP_Lamm_aj(X))) # label(fact_def__pair1type) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 48 (all X scratc1853036782nd_inn(X) = scratc1527250031d_e_in(scratc1893491526nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ak,X))) # label(fact_def__inn) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 49 (all X scratc1642231163d_outn(X) = scratc1903065011nd_out(scratc1893491526nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ak,X))) # label(fact_def__outn) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 50 (all X aa_TPTP_ind_TPTP_ind(scratc833379267_d_1to,X) = aa_fun1431113780TP_ind(scratc1113286453_d_Sep(scratc1893491526nd_nat),aa_TPT43085870d_bool(aTP_Lamm_ak,X))) # label(fact_def__d__1to) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 51 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1046172788d_n_mn(X),Xa) = scratc1853036772nd_ind(scratc1893491526nd_nat,aa_TPT43085870d_bool(scratc467031683ffprop(X),Xa))) # label(fact_def__n__mn) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 52 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1394685989_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(X),Xa)),Xb)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(X),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Xa),Xb)))))) # label(fact_def__d__431__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 53 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc806323814_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(X),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Xa),Xb))),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(X),Xb)))))) # label(fact_def__d__430__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 54 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc412420124_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Xa),X))))) # label(fact_def__d__429__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 55 (all X scratc1046631986d_n_ts(X) = aa_TPT1424761345TP_ind(scratc146195850bnd_ap,aa_TPTP_ind_TPTP_ind(scratc772181259_times,X))) # label(fact_def__n__ts) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 56 (all X aa_TPTP_ind_TPTP_ind(scratc772181259_times,X) = scratc1853036772nd_ind(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc386045762d_d_Pi,scratc1893491526nd_nat),aTP_Lamm_al),aa_TPT43085870d_bool(scratc1971541598_prop2,X))) # label(fact_def__times) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 57 (all X aa_TPTP_ind_TPTP_ind(scratc469601174_428_g,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1296756572_Sigma,scratc1893491526nd_nat),aTP_Lamm_am(X))) # label(fact_def__d__428__g) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 58 (all X (pp(aa_TPTP_ind_bool(scratc1971541600_prop4,X)) <-> pp(aa_fun171081125l_bool(scratc1120832677l_some(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc386045762d_d_Pi,scratc1893491526nd_nat),aTP_Lamm_al)),aa_TPT43085870d_bool(scratc1971541598_prop2,X))))) # label(fact_def__d__428__prop4) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 59 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1971541598_prop2,X),Xa)) <-> pp(scratc1229537902_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,Xa),scratc678513214nd_n_1)),X),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1971541597_prop1,X),Xa))))) # label(fact_def__d__428__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 60 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1971541597_prop1,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc654511726_n_all,aa_TPT43085870d_bool(aTP_Lamm_ao(X),Xa))))) # label(fact_def__d__428__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 61 (all X all Xa (pp(aa_TPTP_ind_bool(scratc1885754807nd_min(X),Xa)) <-> pp(scratc1229537902_d_and(aa_TPTP_ind_bool(scratc1046107177d_n_lb(X),Xa),aa_TPTP_ind_bool(X,Xa))))) # label(fact_def__min) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 62 (all X all Xa (pp(aa_TPTP_ind_bool(scratc1046107177d_n_lb(X),Xa)) <-> pp(aa_fun171081125l_bool(scratc654511726_n_all,aa_TPT43085870d_bool(scratc1707429364lbprop(X),Xa))))) # label(fact_def__n__lb) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 63 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1707429364lbprop(X),Xa),Xb)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1852971185nd_imp,aa_TPTP_ind_bool(X,Xb)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,Xa),Xb))))) # label(fact_def__lbprop) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 64 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,X),Xa)) <-> pp(aa_bool_bool(scratc914659060d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,X),Xa))))) # label(fact_def__lessis) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 65 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,X),Xa)) <-> pp(aa_bool_bool(scratc914659060d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,X),Xa))))) # label(fact_def__moreis) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 66 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc293721790_prop1,X),Xa)) <-> pp(scratc1902868149nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,X),Xa),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,X),Xa),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,X),Xa))))) # label(fact_def__d__29__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 67 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1864657319n_some,aa_TPT43085870d_bool(scratc467031683ffprop(Xa),X))))) # label(fact_def__iii) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 68 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1864657319n_some,aa_TPT43085870d_bool(scratc467031683ffprop(X),Xa))))) # label(fact_def__d__29__ii) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 69 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc467031683ffprop(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,X),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Xa),Xb))))) # label(fact_def__diffprop) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 70 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852843263_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1894016317nd_nis,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(X),Xb))))) # label(fact_def__d__28__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 71 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1264481088_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1894016317nd_nis,Xa),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(X),Xa))))) # label(fact_def__d__27__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 72 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc676118913_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Xa),X))))) # label(fact_def__d__26__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 73 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc87756738_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(X),Xa)),Xb)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(X),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Xa),Xb)))))) # label(fact_def__d__25__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 74 (all X scratc1046369583d_n_pl(X) = aa_TPT1424761345TP_ind(scratc146195850bnd_ap,aa_TPTP_ind_TPTP_ind(scratc201046773d_plus,X))) # label(fact_def__n__pl) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 75 (all X aa_TPTP_ind_TPTP_ind(scratc201046773d_plus,X) = scratc1853036772nd_ind(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc386045762d_d_Pi,scratc1893491526nd_nat),aTP_Lamm_al),aa_TPT43085870d_bool(scratc1646878212_prop2,X))) # label(fact_def__plus) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 76 (all X aa_TPTP_ind_TPTP_ind(scratc1709898044d_24_g,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1296756572_Sigma,scratc1893491526nd_nat),aTP_Lamm_ap(X))) # label(fact_def__d__24__g) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 77 (all X (pp(aa_TPTP_ind_bool(scratc1108969782_prop4,X)) <-> pp(aa_fun171081125l_bool(scratc1120832677l_some(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc386045762d_d_Pi,scratc1893491526nd_nat),aTP_Lamm_al)),aa_TPT43085870d_bool(scratc1646878212_prop2,X))))) # label(fact_def__prop4) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 78 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1108969781_prop3(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,X),Xb)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,Xa),Xb))))) # label(fact_def__prop3) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 79 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1646878212_prop2,X),Xa)) <-> pp(scratc1229537902_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,Xa),scratc678513214nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,X)),aa_TPTP_ind_bool(scratc1646878211_prop1,Xa))))) # label(fact_def__d__24__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 80 (all X (pp(aa_TPTP_ind_bool(scratc1646878211_prop1,X)) <-> pp(aa_fun171081125l_bool(scratc654511726_n_all,aa_TPT43085870d_bool(aTP_Lamm_aq,X))))) # label(fact_def__d__24__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 81 (all X (pp(aa_TPTP_ind_bool(scratc1058516036_prop1,X)) <-> pp(aa_bool_bool(scratc914659060d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,X),scratc678513214nd_n_1)),aa_fun171081125l_bool(scratc1864657319n_some,aa_TPT43085870d_bool(aTP_Lamm_ar,X)))))) # label(fact_def__d__23__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 82 (all X (pp(aa_TPTP_ind_bool(scratc470153861_prop1,X)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1894016317nd_nis,aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,X)),X)))) # label(fact_def__d__22__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 83 (all X (pp(aa_TPTP_ind_bool(scratc1123692917_cond2,X)) <-> pp(aa_fun171081125l_bool(scratc654511726_n_all,aa_TPT43085870d_bool(aTP_Lamm_as,X))))) # label(fact_def__cond2) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 84 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1894016317nd_nis,X),Xa)) <-> pp(scratc1337003082_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,X),Xa))))) # label(fact_def__nis) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 85 (all X all Xa all Xb all Xc all Xd scratc496897026indeq2(X,Xa,Xb,Xc,Xd) = aa_TPT1424761345TP_ind(scratc655491120_indeq(X,Xa,Xb),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc376055808d_11_i(X,Xa,Xb),Xc),Xd))) # label(fact_def__indeq2) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 86 (all X all Xa all Xb scratc376055808d_11_i(X,Xa,Xb) = scratc655491120_indeq(X,Xa,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc386045762d_d_Pi,X),aTP_Lamm_aj(Xb)))) # label(fact_def__d__11__i) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 87 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc713387177fixfu2(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_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].
% 1.46/1.74 88 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc655491120_indeq(X,Xa,Xb),Xc),Xd) = scratc1853036772nd_ind(Xb,aa_TPT43085870d_bool(scratc1108969780_prop2(X,Xa,Xb,Xc),Xd))) # label(fact_def__indeq) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 89 (all X all Xa all Xb all Xc all Xd all Xe (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1108969780_prop2(X,Xa,Xb,Xc),Xd),Xe)) <-> pp(aa_fun171081125l_bool(scratc1120832677l_some(X),aa_TPT43085870d_bool(scratc46717190_prop1(X,Xa,Xb,Xc,Xd),Xe))))) # label(fact_def__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 90 (all X all Xa all Xb all Xc all Xd all Xe all Xf (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc46717190_prop1(X,Xa,Xb,Xc,Xd),Xe),Xf)) <-> pp(scratc1229537902_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc262287102d_esti(X),Xf),aa_TPTP_ind_TPTP_ind(scratc403806973_ecect(X,Xa),Xd)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1527250036d_e_is(Xb),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,Xc),Xf)),Xe))))) # label(fact_def__d__10__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 91 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2089092553_fixfu(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_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].
% 1.46/1.74 92 (all X all Xa scratc403806973_ecect(X,Xa) = scratc1527250031d_e_in(aa_TPTP_ind_TPTP_ind(scratc980062346_power,X),scratc1392614086d_anec(X,Xa))) # label(fact_def__ecect) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 93 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1110211826ectelt(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc1225413703ectset(X,Xa),aa_TPTP_ind_TPTP_ind(scratc404397364_ecelt(X,Xa),Xb))) # label(fact_def__ectelt) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 94 (all X all Xa scratc1225413703ectset(X,Xa) = scratc1903065011nd_out(aa_TPTP_ind_TPTP_ind(scratc980062346_power,X),scratc1392614086d_anec(X,Xa))) # label(fact_def__ectset) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 95 (all X all Xa scratc1819269179nd_ect(X,Xa) = aa_fun1431113780TP_ind(scratc1113286453_d_Sep(aa_TPTP_ind_TPTP_ind(scratc980062346_power,X)),scratc1392614086d_anec(X,Xa))) # label(fact_def__ect) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 96 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(scratc1392614086d_anec(X,Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1120832677l_some(X),aa_TPT43085870d_bool(scratc1819269175nd_ecp(X,Xa),Xb))))) # label(fact_def__anec) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 97 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1819269175nd_ecp(X,Xa),Xb),Xc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1527250036d_e_is(aa_TPTP_ind_TPTP_ind(scratc980062346_power,X)),Xb),aa_TPTP_ind_TPTP_ind(scratc404397364_ecelt(X,Xa),Xc))))) # label(fact_def__ecp) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 98 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc404397364_ecelt(X,Xa),Xb) = aa_fun1431113780TP_ind(scratc1113286453_d_Sep(X),aa_TPT43085870d_bool(Xa,Xb))) # label(fact_def__ecelt) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 99 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1331531049unmore(X,Xa),Xb) = aa_fun1431113780TP_ind(scratc1113286453_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].
% 1.46/1.74 100 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc65510024etprop(X,Xa),Xb),Xc)) <-> pp(scratc1229537902_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc262287102d_esti(X),Xc),Xa),scratc1337003082_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc262287102d_esti(X),Xc),Xb)))))) # label(fact_def__nissetprop) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 101 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc877554424t_disj(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1786813542nd_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].
% 1.46/1.74 102 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1194729545d_incl(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1786813542nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_be(X),Xa),Xb))))) # label(fact_def__incl) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 103 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1618213371nempty,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1120832677l_some(X),aa_TPT43085870d_bool(aTP_Lamm_bf(X),Xa))))) # label(fact_def__nonempty) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 104 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1859219762_empty,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X)),scratc1894409906nd_non(X,aa_TPT43085870d_bool(aTP_Lamm_bf(X),Xa)))))) # label(fact_def__empty) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 105 (all X scratc262287102d_esti(X) = scratc146720640bnd_in) # label(fact_def__esti) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 106 (all X all Xa (scratc1308937845d_r_ec(X,Xa) <-> (pp(X) -> pp(scratc1337003082_d_not(Xa))))) # label(fact_def__r__ec) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 107 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(scratc505004443hangef(X,Xa,Xb,Xc),Xd) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1296756572_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].
% 1.46/1.74 108 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1093440500wissel(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1296756572_Sigma,X),scratc4879711sel_wb(X,Xa,Xb))) # label(fact_def__wissel) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 109 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc4879711sel_wb(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc1853430367nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1527250036d_e_is(X),Xc),Xb),X,Xa),aa_TPTP_ind_TPTP_ind(scratc4879710sel_wa(X,Xa,Xb),Xc))) # label(fact_def__wissel__wb) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 110 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc4879710sel_wa(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc1853430367nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1527250036d_e_is(X),Xc),Xa),X,Xb),Xc)) # label(fact_def__wissel__wa) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 111 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1853430367nd_ite(X,Xa,Xb),Xc) = scratc1853036772nd_ind(Xa,aa_TPT43085870d_bool(scratc1108969779_prop1(X,Xa,Xb),Xc))) # label(fact_def__ite) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 112 (all X all Xa all Xb all Xc all Xd (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1108969779_prop1(X,Xa,Xb),Xc),Xd)) <-> pp(scratc1229537902_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1852971185nd_imp,X),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1527250036d_e_is(Xa),Xd),Xb)),aa_bool_bool(aa_boo1142376798l_bool(scratc1852971185nd_imp,scratc1337003082_d_not(X)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1527250036d_e_is(Xa),Xd),Xc)))))) # label(fact_def__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 113 (all X all Xa scratc1852656431second(X,Xa) = scratc1108576185_proj1) # label(fact_def__second) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 114 (all X all Xa scratc2040376309_first(X,Xa) = scratc1108576184_proj0) # label(fact_def__first) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 115 (all X all Xa scratc2130300003d_pair(X,Xa) = scratc109383029d_pair) # label(fact_def__d__pair) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 116 (all X all Xa scratc1903065011nd_out(X,Xa) = scratc419125253d_soft(aa_fun1431113780TP_ind(scratc1113286453_d_Sep(X),Xa),X,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1296756572_Sigma,aa_fun1431113780TP_ind(scratc1113286453_d_Sep(X),Xa)),scratc1527250031d_e_in(X,Xa)))) # label(fact_def__out) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 117 (all X all Xa all Xb (gg_TPTP_ind(Xb) -> aa_TPTP_ind_TPTP_ind(scratc1527250031d_e_in(X,Xa),Xb) = Xb)) # label(fact_def__e__in) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 118 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(scratc834703166_inj_h(X,Xa,Xb,Xc),Xd) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1296756572_Sigma,X),aa_TPT1424761345TP_ind(aTP_Lamm_bh(Xc),Xd))) # label(fact_def__inj__h) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 119 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1195975920d_invf(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1296756572_Sigma,Xa),scratc419125253d_soft(X,Xa,Xb))) # label(fact_def__invf) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 120 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc866949706ective(X),Xa),Xb)) <-> pp(scratc1229537902_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc683230476ective(X),Xa),Xb),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1748738967ective(X),Xa),Xb))))) # label(fact_def__bijective) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 121 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1748738967ective(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1786813542nd_all(Xa),aa_TPT43085870d_bool(scratc1997734240_image(X,Xa),Xb))))) # label(fact_def__surjective) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 122 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc491045493nverse(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1296756572_Sigma,Xa),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_bi(X),Xa),Xb))) # label(fact_def__inverse) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 123 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc419125253d_soft(X,Xa,Xb),Xc) = scratc1853036772nd_ind(X,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bj(Xa),Xb),Xc))) # label(fact_def__soft) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 124 (all X all Xa scratc1199712451d_tofs(X,Xa) = scratc146195850bnd_ap) # label(fact_def__tofs) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 125 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997734240_image(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc1120832677l_some(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bj(Xa),Xb),Xc))))) # label(fact_def__image) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 126 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc683230476ective(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1786813542nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bl(X),Xa),Xb))))) # label(fact_def__injective) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 127 (all X all Xa scratc1853036772nd_ind(X,Xa) = scratc1820121965nd_eps(aa_fun1584354236d_bool(aTP_Lamm_bm(X),Xa))) # label(fact_def__ind) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 128 (all X all Xa (pp(aa_fun171081125l_bool(scratc1902605803nd_one(X),Xa)) <-> pp(scratc1229537902_d_and(scratc1587274783_amone(X,Xa),aa_fun171081125l_bool(scratc1120832677l_some(X),Xa))))) # label(fact_def__one) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 129 (all X all Xa (pp(scratc1587274783_amone(X,Xa)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_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].
% 1.46/1.74 130 (all X scratc1527250036d_e_is(X) = fequal_TPTP_ind) # label(fact_def__e__is) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 131 (all X all Xa all Xb (scratc2033421303_orec3(X,Xa,Xb) <-> pp(scratc1229537902_d_and(scratc1902868149nd_or3(X,Xa,Xb),scratc1819269114nd_ec3(X,Xa,Xb))))) # label(fact_def__orec3) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 132 (all X all Xa all Xb (pp(scratc1819269114nd_ec3(X,Xa,Xb)) <-> scratc1392548439d_and3(scratc914003055d_l_ec(X,Xa),scratc914003055d_l_ec(Xa,Xb),scratc914003055d_l_ec(Xb,X)))) # label(fact_def__ec3) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 133 (all X all Xa all Xb (scratc1392548439d_and3(X,Xa,Xb) <-> pp(scratc1229537902_d_and(X,scratc1229537902_d_and(Xa,Xb))))) # label(fact_def__and3) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 134 (all X all Xa all Xb (pp(scratc1902868149nd_or3(X,Xa,Xb)) <-> pp(aa_bool_bool(scratc914659060d_l_or(X),aa_bool_bool(scratc914659060d_l_or(Xa),Xb))))) # label(fact_def__or3) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 135 (all X all Xa (pp(aa_fun171081125l_bool(scratc1120832677l_some(X),Xa)) <-> pp(scratc1337003082_d_not(aa_fun171081125l_bool(scratc2010171869all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X)),scratc1894409906nd_non(X,Xa)))))) # label(fact_def__l__some) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 136 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(scratc1894409906nd_non(X,Xa),Xb)) <-> pp(scratc1337003082_d_not(aa_TPTP_ind_bool(Xa,Xb))))) # label(fact_def__non) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 137 (all X scratc1786813542nd_all(X) = scratc2010171869all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X))) # label(fact_def__all) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 138 (all X all Xa (scratc2123679352_l_iff(X,Xa) <-> pp(scratc1229537902_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1852971185nd_imp,X),Xa),aa_bool_bool(aa_boo1142376798l_bool(scratc1852971185nd_imp,Xa),X))))) # label(fact_def__l__iff) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 139 (all X all Xa (scratc1616462652d_orec(X,Xa) <-> pp(scratc1229537902_d_and(aa_bool_bool(scratc914659060d_l_or(X),Xa),scratc914003055d_l_ec(X,Xa))))) # label(fact_def__orec) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 140 (all X scratc914659060d_l_or(X) = aa_boo1142376798l_bool(scratc1852971185nd_imp,scratc1337003082_d_not(X))) # label(fact_def__l__or) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 141 (all X all Xa (pp(scratc1229537902_d_and(X,Xa)) <-> pp(scratc1337003082_d_not(scratc914003055d_l_ec(X,Xa))))) # label(fact_def__d__and) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 142 (all X all Xa (pp(scratc914003055d_l_ec(X,Xa)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1852971185nd_imp,X),scratc1337003082_d_not(Xa))))) # label(fact_def__l__ec) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 143 scratc1356128140bvious <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1852971185nd_imp,fFalse),fFalse)) # label(fact_def__obvious) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 144 (all X (scratc1968107459nd_wel(X) <-> pp(scratc1337003082_d_not(scratc1337003082_d_not(X))))) # label(fact_def__wel) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 145 (all X (pp(scratc1337003082_d_not(X)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1852971185nd_imp,X),fFalse)))) # label(fact_def__d__not) # label(axiom) # label(non_clause). [assumption].
% 1.46/1.74 146 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc386045762d_d_Pi,X),Xa) = aa_fun1431113780TP_ind(scratc1113286453_d_Sep(aa_TPTP_ind_TPTP_ind(scratc980062346_power,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1296756572_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].
% 1.46/1.74 147 (all X (gg_TPTP_ind(X) -> (pp(aa_TPTP_ind_bool(scratc949547771pair_p,X)) <-> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc109383029d_pair,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,X),scratc1332618384ptyset)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,X),aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,scratc1332618384ptyset))) = X))) # label(fact_def__pair__p) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 148 (all X all Xa aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,X),Xa) = aa_fun277296641TP_ind(scratc628970598eplSep(X,aa_TPT43085870d_bool(aTP_Lamm_br,Xa)),scratc1108576185_proj1)) # label(fact_def__ap) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 149 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc726720894etprod(X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1296756572_Sigma,X),aTP_Lamm_aj(Xa))) # label(fact_def__setprod) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 150 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1296756572_Sigma,X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1698058936munion,X),aTP_Lamm_bs(Xa))) # label(fact_def__d__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 151 (all X aa_TPTP_ind_TPTP_ind(scratc1108576185_proj1,X) = aa_fun277296641TP_ind(scratc628970598eplSep(X,aTP_Lamm_bt),scratc1130399848_d_Unj)) # label(fact_def__proj1) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 152 (all X aa_TPTP_ind_TPTP_ind(scratc1108576184_proj0,X) = aa_fun277296641TP_ind(scratc628970598eplSep(X,aTP_Lamm_bu),scratc1130399848_d_Unj)) # label(fact_def__proj0) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 153 (all X all Xa aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc109383029d_pair,X),Xa) = aa_TPTP_ind_TPTP_ind(scratc544432387nunion(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1704062634d_repl,X),scratc1859635412d_Inj0)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1704062634d_repl,Xa),scratc1859635413d_Inj1))) # label(fact_def__pair) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 154 (all X aa_TPTP_ind_TPTP_ind(scratc1859635412d_Inj0,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1704062634d_repl,X),scratc1859635413d_Inj1)) # label(fact_def__d__Inj0) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 155 (all X (pp(aa_TPTP_ind_bool(scratc2128726506_nat_p,X)) <-> (all X1 (pp(aa_TPTP_ind_bool(X1,scratc1332618384ptyset)) -> ((all X2 (gg_TPTP_ind(X2) -> (pp(aa_TPTP_ind_bool(X1,X2)) -> pp(aa_TPTP_ind_bool(X1,aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,X2)))))) -> pp(aa_TPTP_ind_bool(X1,X))))))) # label(fact_def__nat__p) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 156 (all X aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,X) = aa_TPTP_ind_TPTP_ind(scratc544432387nunion(X),aa_TPTP_ind_TPTP_ind(scratc1034527736d_Sing,X))) # label(fact_def__ordsucc) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 157 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc356734178In_rec(X),Xa) = scratc1820121965nd_eps(aa_TPT43085870d_bool(scratc1269222693_rec_G(X),Xa))) # label(fact_def__d__In__rec) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 158 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1269222693_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(scratc146720640bnd_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].
% 1.52/1.74 159 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc460717929tminus(X),Xa) = aa_fun1431113780TP_ind(scratc1113286453_d_Sep(X),aa_TPT43085870d_bool(aTP_Lamm_bx,Xa))) # label(fact_def__setminus) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 160 (all X all Xa scratc628970598eplSep(X,Xa) = aa_TPT494704832TP_ind(scratc1704062634d_repl,aa_fun1431113780TP_ind(scratc1113286453_d_Sep(X),Xa))) # label(fact_def__d__ReplSep) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 161 (all X all Xa aa_fun1431113780TP_ind(scratc1113286453_d_Sep(X),Xa) = aa_TPTP_ind_TPTP_ind(scratc146720632bnd_if(fEx_TPTP_ind(cOMBS_2003118649l_bool(cOMBB_658106424TP_ind(fconj,aa_TPT43085870d_bool(cOMBC_1555011498d_bool(scratc146720640bnd_in),X)),Xa)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1704062634d_repl,X),aa_fun1235454963TP_ind(aTP_Lamm_by(X),Xa))),scratc1332618384ptyset)) # label(fact_def__d__Sep) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 162 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1698058936munion,X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1487324212_union,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1704062634d_repl,X),Xa))) # label(fact_def__famunion) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 163 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc544432387nunion(X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1487324212_union,aa_TPTP_ind_TPTP_ind(scratc1191242950_UPair(X),Xa))) # label(fact_def__binunion) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 164 (all X aa_TPTP_ind_TPTP_ind(scratc1034527736d_Sing,X) = aa_TPTP_ind_TPTP_ind(scratc1191242950_UPair(X),X)) # label(fact_def__d__Sing) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 165 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1191242950_UPair(X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1704062634d_repl,aa_TPTP_ind_TPTP_ind(scratc980062346_power,aa_TPTP_ind_TPTP_ind(scratc980062346_power,scratc1332618384ptyset))),aa_TPT1424761345TP_ind(aTP_Lamm_bz(X),Xa))) # label(fact_def__d__UPair) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 166 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1891917144nd_nIn,X),Xa)) <-> -pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X),Xa)))) # label(fact_def__nIn) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 167 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc146720632bnd_if(X,Xa),Xb) = scratc1820121965nd_eps(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ca(X),Xa),Xb))) # label(fact_def__if) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 168 (all X (pp(aa_TPTP_ind_bool(scratc1567746593closed,X)) <-> pp(aa_TPTP_ind_bool(scratc2140196658closed,X)) & pp(aa_TPTP_ind_bool(scratc157446024closed,X)) & pp(aa_TPTP_ind_bool(scratc153018436closed,X)))) # label(fact_def__d__ZF__closed) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 169 (all X (pp(aa_TPTP_ind_bool(scratc153018436closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X1),X)) -> (all X2 ((all X3 (gg_TPTP_ind(X3) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X3),X1)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,aa_TPTP_ind_TPTP_ind(X2,X3)),X))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1704062634d_repl,X1),X2)),X))))))))) # label(fact_def__d__Repl__closed) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 170 (all X (pp(aa_TPTP_ind_bool(scratc157446024closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X1),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,aa_TPTP_ind_TPTP_ind(scratc980062346_power,X1)),X))))))) # label(fact_def__d__Power__closed) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 171 (all X (pp(aa_TPTP_ind_bool(scratc2140196658closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X1),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,aa_TPTP_ind_TPTP_ind(scratc1487324212_union,X1)),X))))))) # label(fact_def__d__Union__closed) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 172 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1132878618d_Subq,X),Xa)) <-> (all X2 (gg_TPTP_ind(X2) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X2),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X2),Xa))))))) # label(fact_def__d__Subq) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 173 (all X all Xa (pp(aa_fun171081125l_bool(scratc2010171869all_of(X),Xa)) <-> (all X2 (gg_TPTP_ind(X2) -> (scratc94598652_is_of(X2,X) -> pp(aa_TPTP_ind_bool(Xa,X2))))))) # label(fact_def__all__of) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 174 (all X all Xa (scratc94598652_is_of(X,Xa) <-> pp(aa_TPTP_ind_bool(Xa,X)))) # label(fact_def__is__of) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 175 (all X0 (pp(aa_fun171081125l_bool(scratc1864657319n_some,X0)) -> pp(aa_fun171081125l_bool(scratc770303987_n_one,scratc1885754807nd_min(X0))))) # label(fact_satz27a) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 176 (all X0 (pp(aa_fun171081125l_bool(scratc1864657319n_some,X0)) -> pp(aa_fun171081125l_bool(scratc1864657319n_some,scratc1885754807nd_min(X0))))) # label(fact_satz27) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 177 (all X0 pp(aa_fun171081125l_bool(scratc2010171869all_of(aa_TPT43085870d_bool(aTP_Lamm_abd,X0)),aa_TPT43085870d_bool(aTP_Lamm_abf,X0)))) # label(fact_isseti) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 178 (all X0 all X12 pp(aa_fun171081125l_bool(scratc2010171869all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_fun1584354236d_bool(aTP_Lamm_abg(X0),X12)))) # label(fact_estie) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 179 (all X0 all X12 pp(aa_fun171081125l_bool(scratc2010171869all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_fun1584354236d_bool(aTP_Lamm_abh(X0),X12)))) # label(fact_estii) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 180 (all X0 all X12 scratc94598652_is_of(aa_fun1431113780TP_ind(scratc1113286453_d_Sep(X0),X12),aa_TPT43085870d_bool(aTP_Lamm_abd,X0))) # label(fact_setof__p) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 181 (all X0 all X12 pp(aa_fun171081125l_bool(scratc2010171869all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_TPT43085870d_bool(aTP_Lamm_abj(X0),X12)))) # label(fact_secondis1) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 182 (all X0 all X12 pp(aa_fun171081125l_bool(scratc2010171869all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_TPT43085870d_bool(aTP_Lamm_abl(X0),X12)))) # label(fact_firstis1) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 183 (all X0 all X12 pp(aa_fun171081125l_bool(scratc2010171869all_of(aa_TPT43085870d_bool(aTP_Lamm_abm(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_abn(X0),X12)))) # label(fact_pairis1) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 184 (all X0 all X12 pp(aa_fun171081125l_bool(scratc2010171869all_of(aa_TPT43085870d_bool(aTP_Lamm_abm(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_abo(X0),X12)))) # label(fact_second__p) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 185 (all X0 all X12 pp(aa_fun171081125l_bool(scratc2010171869all_of(aa_TPT43085870d_bool(aTP_Lamm_abm(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_abp(X0),X12)))) # label(fact_first__p) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 186 (all X0 all X12 pp(aa_fun171081125l_bool(scratc2010171869all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_TPT43085870d_bool(aTP_Lamm_abr(X0),X12)))) # label(fact_e__pair__p) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 187 (all X0 all X12 pp(aa_fun171081125l_bool(scratc2010171869all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_fun1584354236d_bool(aTP_Lamm_abs(X0),X12)))) # label(fact_otax2) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 188 (all X0 all X12 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc683230476ective(aa_fun1431113780TP_ind(scratc1113286453_d_Sep(X0),X12)),X0),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1296756572_Sigma,aa_fun1431113780TP_ind(scratc1113286453_d_Sep(X0),X12)),scratc1527250031d_e_in(X0,X12))))) # label(fact_otax1) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 189 (all X0 all X12 pp(aa_fun171081125l_bool(scratc2010171869all_of(aa_fun1584354236d_bool(aTP_Lamm_abt(X0),X12)),aa_fun1584354236d_bool(aTP_Lamm_abu(X0),X12)))) # label(fact_e__inp) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 190 (all X0 all X12 pp(aa_fun171081125l_bool(scratc2010171869all_of(aa_fun1584354236d_bool(aTP_Lamm_abt(X0),X12)),aa_fun1584354236d_bool(aTP_Lamm_abv(X0),X12)))) # label(fact_e__in__p) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 191 (all X0 all X12 pp(aa_fun171081125l_bool(scratc2010171869all_of(aa_TPT43085870d_bool(aTP_Lamm_abw(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_abz(X0),X12)))) # label(fact_e__fisi) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 192 (all X0 all X12 (pp(aa_fun171081125l_bool(scratc1902605803nd_one(X0),X12)) -> pp(aa_TPTP_ind_bool(X12,scratc1853036772nd_ind(X0,X12))))) # label(fact_oneax) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 193 (all X0 all X12 (pp(aa_fun171081125l_bool(scratc1902605803nd_one(X0),X12)) -> scratc94598652_is_of(scratc1853036772nd_ind(X0,X12),aa_TPT43085870d_bool(aTP_Lamm_au,X0)))) # label(fact_ind__p) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 194 (all X0 all X12 pp(aa_fun171081125l_bool(scratc2010171869all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_fun1584354236d_bool(aTP_Lamm_acb(X0),X12)))) # label(fact_e__isp) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 195 (all X0 pp(aa_fun171081125l_bool(scratc2010171869all_of(aa_TPT43085870d_bool(aTP_Lamm_au,X0)),aa_TPT43085870d_bool(aTP_Lamm_acc,X0)))) # label(fact_refis) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 196 (all X0 (scratc1968107459nd_wel(X0) -> pp(X0))) # label(fact_l__et) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 197 (all X0 all X12 all X22 all X32 (pp(X0) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc146720632bnd_if(X0,X22),X32))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X12),X22))))) # label(fact_k__If__In__then__E) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 198 (all X0 all X12 all X22 ((pp(X0) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X12),X22))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,aa_TPTP_ind_TPTP_ind(scratc146720632bnd_if(X0,X12),scratc1332618384ptyset)),aa_TPTP_ind_TPTP_ind(scratc146720632bnd_if(X0,X22),aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,scratc1332618384ptyset)))))) # label(fact_k__If__In__01) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 199 (all X0 all X12 all X22 ((all X33 (gg_TPTP_ind(X33) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X33),X0)) -> aa_TPTP_ind_TPTP_ind(X12,X33) = aa_TPTP_ind_TPTP_ind(X22,X33)))) -> aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1296756572_Sigma,X0),X12) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1296756572_Sigma,X0),X22))) # label(fact_xi__ext) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 200 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc386045762d_d_Pi,X0),X12))) -> (all X32 (gg_TPTP_ind(X32) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X32),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc386045762d_d_Pi,X0),X12))) -> ((all X42 (gg_TPTP_ind(X42) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X42),X0)) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,X22),X42) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,X32),X42)))) -> X22 = X32))))))) # label(fact_k__Pi__ext) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 201 (all X0 all X12 all X22 all X32 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc386045762d_d_Pi,X0),X12))) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X32),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,X22),X32)),aa_TPTP_ind_TPTP_ind(X12,X32)))))) # label(fact_ap__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 202 (all X0 all X12 all X22 ((all X33 (gg_TPTP_ind(X33) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X33),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,aa_TPTP_ind_TPTP_ind(X22,X33)),aa_TPTP_ind_TPTP_ind(X12,X33)))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1296756572_Sigma,X0),X22)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc386045762d_d_Pi,X0),X12))))) # label(fact_lam__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 203 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X22),X0)) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1296756572_Sigma,X0),X12)),X22) = aa_TPTP_ind_TPTP_ind(X12,X22))) # label(fact_beta) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 204 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1296756572_Sigma,X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,aa_TPTP_ind_TPTP_ind(scratc1108576185_proj1,X22)),aa_TPTP_ind_TPTP_ind(X12,aa_TPTP_ind_TPTP_ind(scratc1108576184_proj0,X22)))))) # label(fact_proj1__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 205 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1296756572_Sigma,X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,aa_TPTP_ind_TPTP_ind(scratc1108576184_proj0,X22)),X0)))) # label(fact_proj0__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 206 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1296756572_Sigma,X0),X12))) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc109383029d_pair,aa_TPTP_ind_TPTP_ind(scratc1108576184_proj0,X22)),aa_TPTP_ind_TPTP_ind(scratc1108576185_proj1,X22)) = X22))) # label(fact_proj__Sigma__eta) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 207 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1296756572_Sigma,X0),X12))) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc109383029d_pair,aa_TPTP_ind_TPTP_ind(scratc1108576184_proj0,X22)),aa_TPTP_ind_TPTP_ind(scratc1108576185_proj1,X22)) = X22 & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,aa_TPTP_ind_TPTP_ind(scratc1108576184_proj0,X22)),X0)) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,aa_TPTP_ind_TPTP_ind(scratc1108576185_proj1,X22)),aa_TPTP_ind_TPTP_ind(X12,aa_TPTP_ind_TPTP_ind(scratc1108576184_proj0,X22))))))) # label(fact_k__Sigma__eta__proj0__proj1) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 208 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X22),X0)) -> (all X32 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X32),aa_TPTP_ind_TPTP_ind(X12,X22))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc109383029d_pair,X22),X32)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1296756572_Sigma,X0),X12))))))) # label(fact_pair__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 209 (all X0 all X12 (gg_TPTP_ind(X12) -> aa_TPTP_ind_TPTP_ind(scratc1108576185_proj1,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc109383029d_pair,X0),X12)) = X12)) # label(fact_proj1__pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 210 (all X0 all X12 (gg_TPTP_ind(X0) -> aa_TPTP_ind_TPTP_ind(scratc1108576184_proj0,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc109383029d_pair,X0),X12)) = X0)) # label(fact_proj0__pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 211 (all X0 (pp(aa_TPTP_ind_bool(scratc2128726506_nat_p,X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X0),scratc278231398_omega)))) # label(fact_nat__p__omega) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 212 (all X0 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X0),scratc278231398_omega)) -> pp(aa_TPTP_ind_bool(scratc2128726506_nat_p,X0)))) # label(fact_omega__nat__p) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 213 (all X0 (gg_TPTP_ind(X0) -> (pp(aa_TPTP_ind_bool(scratc2128726506_nat_p,X0)) -> X0 = scratc1332618384ptyset | (exists X13 (gg_TPTP_ind(X13) & pp(aa_TPTP_ind_bool(scratc2128726506_nat_p,X13)) & X0 = aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,X13)))))) # label(fact_nat__inv) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 214 (all X0 (pp(aa_TPTP_ind_bool(X0,scratc1332618384ptyset)) -> ((all X13 (gg_TPTP_ind(X13) -> (pp(aa_TPTP_ind_bool(scratc2128726506_nat_p,X13)) -> (pp(aa_TPTP_ind_bool(X0,X13)) -> pp(aa_TPTP_ind_bool(X0,aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,X13))))))) -> (all X12 (pp(aa_TPTP_ind_bool(scratc2128726506_nat_p,X12)) -> pp(aa_TPTP_ind_bool(X0,X12))))))) # label(fact_nat__ind) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 215 (all X0 (pp(aa_TPTP_ind_bool(scratc2128726506_nat_p,X0)) -> pp(aa_TPTP_ind_bool(scratc2128726506_nat_p,aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,X0))))) # label(fact_nat__ordsucc) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 216 (all X0 all X12 (gg_TPTP_ind(X0) & gg_TPTP_ind(X12) -> (aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,X0) = aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,X12) -> X0 = X12))) # label(fact_ordsucc__inj) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 217 (all X0 aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,X0) != scratc1332618384ptyset) # label(fact_neq__ordsucc__0) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 218 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X22),aa_fun1431113780TP_ind(scratc1113286453_d_Sep(X0),X12))) -> pp(aa_TPTP_ind_bool(X12,X22)))) # label(fact_k__SepE2) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 219 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X22),aa_fun1431113780TP_ind(scratc1113286453_d_Sep(X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X22),X0)))) # label(fact_k__SepE1) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 220 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X22),X0)) -> (pp(aa_TPTP_ind_bool(X12,X22)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X22),aa_fun1431113780TP_ind(scratc1113286453_d_Sep(X0),X12)))))) # label(fact_k__SepI) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 221 (all X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X0),aa_TPTP_ind_TPTP_ind(scratc980062346_power,X0)))) # label(fact_k__Self__In__Power) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 222 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1132878618d_Subq,X12),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc980062346_power,X0))))) # label(fact_k__PowerI) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 223 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc980062346_power,X0))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1132878618d_Subq,X12),X0)))) # label(fact_k__PowerE) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 224 (all X0 all X12 all X22 (gg_TPTP_ind(X12) & gg_TPTP_ind(X22) -> aa_TPTP_ind_TPTP_ind(scratc146720632bnd_if(X0,X12),X22) = X12 | aa_TPTP_ind_TPTP_ind(scratc146720632bnd_if(X0,X12),X22) = X22)) # label(fact_if__i__or) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 225 (all X0 all X12 all X22 (gg_TPTP_ind(X12) -> (pp(X0) -> aa_TPTP_ind_TPTP_ind(scratc146720632bnd_if(X0,X12),X22) = X12))) # label(fact_if__i__1) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 226 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (-pp(X0) -> aa_TPTP_ind_TPTP_ind(scratc146720632bnd_if(X0,X12),X22) = X22))) # label(fact_if__i__0) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 227 (all X0 all X12 all X22 (gg_TPTP_ind(X12) & gg_TPTP_ind(X22) -> pp(X0) & aa_TPTP_ind_TPTP_ind(scratc146720632bnd_if(X0,X12),X22) = X12 | -pp(X0) & aa_TPTP_ind_TPTP_ind(scratc146720632bnd_if(X0,X12),X22) = X22)) # label(fact_if__i__correct) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 228 (all X0 pp(aa_TPTP_ind_bool(scratc1567746593closed,aa_TPTP_ind_TPTP_ind(scratc414299640univof,X0)))) # label(fact_k__UnivOf__ZF__closed) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 229 (all X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X0),aa_TPTP_ind_TPTP_ind(scratc414299640univof,X0)))) # label(fact_k__UnivOf__In) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 230 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1704062634d_repl,X0),X12))) <-> (exists X3 (gg_TPTP_ind(X3) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X3),X0)) & X22 = aa_TPTP_ind_TPTP_ind(X12,X3)))))) # label(fact_k__ReplEq) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 231 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc980062346_power,X0))) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1132878618d_Subq,X12),X0)))) # label(fact_k__PowerEq) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 232 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1487324212_union,X0))) <-> (exists X2 (gg_TPTP_ind(X2) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X12),X2)) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X2),X0)))))) # label(fact_k__UnionEq) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 233 -(exists X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,X0),scratc1332618384ptyset))) # label(fact_k__EmptyAx) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 234 (all X0 ((all X13 (gg_TPTP_ind(X13) -> ((all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_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].
% 1.52/1.74 235 (all X0 all X12 (gg_TPTP_ind(X0) & gg_TPTP_ind(X12) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1132878618d_Subq,X0),X12)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1132878618d_Subq,X12),X0)) -> X0 = X12)))) # label(fact_set__ext) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 236 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aas,Uu)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1894016317nd_nis,Uu),scratc678513214nd_n_1)) -> pp(aa_fun171081125l_bool(scratc1864657319n_some,aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)))))) # label(fact_ATP_Olambda__1) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 237 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aar,Uu)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1894016317nd_nis,Uu),scratc678513214nd_n_1)) -> pp(aa_fun171081125l_bool(scratc770303987_n_one,aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)))))) # label(fact_ATP_Olambda__2) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 238 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aao,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),scratc678513214nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uu))))) # label(fact_ATP_Olambda__3) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 239 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sq,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),scratc678513214nd_n_1)),Uu)))) # label(fact_ATP_Olambda__4) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 240 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aal,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(scratc678513214nd_n_1),Uu)),aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uu))))) # label(fact_ATP_Olambda__5) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 241 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sn,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(scratc678513214nd_n_1),Uu)),Uu)))) # label(fact_ATP_Olambda__6) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 242 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aaq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1902605803nd_one(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc386045762d_d_Pi,scratc1893491526nd_nat),aTP_Lamm_al)),aa_TPT43085870d_bool(aTP_Lamm_aap,Uu))))) # label(fact_ATP_Olambda__7) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 243 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ss,Uu)) <-> pp(aa_fun171081125l_bool(scratc1902605803nd_one(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc386045762d_d_Pi,scratc1893491526nd_nat),aTP_Lamm_al)),aa_TPT43085870d_bool(aTP_Lamm_sr,Uu))))) # label(fact_ATP_Olambda__8) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 244 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aay,Uu)) <-> (pp(aa_TPTP_ind_bool(scratc1123692916_cond1,Uu)) -> (pp(aa_TPTP_ind_bool(scratc1123692917_cond2,Uu)) -> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_aax,Uu))))))) # label(fact_ATP_Olambda__9) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 245 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aai,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),scratc678513214nd_n_1))))) # label(fact_ATP_Olambda__10) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 246 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aaf,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(scratc678513214nd_n_1),Uu))))) # label(fact_ATP_Olambda__11) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 247 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xf,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uu)),Uu)))) # label(fact_ATP_Olambda__12) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 248 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aat,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1894016317nd_nis,aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uu)),Uu)))) # label(fact_ATP_Olambda__13) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 249 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_abc,Uu)) <-> scratc94598652_is_of(aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uu),aTP_Lamm_ku))) # label(fact_ATP_Olambda__14) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 250 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tk,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uu)),scratc678513214nd_n_1)))) # label(fact_ATP_Olambda__15) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 251 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_abb,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1894016317nd_nis,aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uu)),scratc678513214nd_n_1)))) # label(fact_ATP_Olambda__16) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 252 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sk,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),scratc678513214nd_n_1))))) # label(fact_ATP_Olambda__17) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 253 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sh,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(scratc678513214nd_n_1),Uu))))) # label(fact_ATP_Olambda__18) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 254 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xe,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uu),aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uu))))) # label(fact_ATP_Olambda__19) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 255 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aaw,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,Uu),aa_TPTP_ind_TPTP_ind(scratc980062346_power,scratc1893491526nd_nat))))) # label(fact_ATP_Olambda__20) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 256 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cq,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc286867143_rt_is,Uu),Uu)))) # label(fact_ATP_Olambda__21) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 257 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_on,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),Uu)))) # label(fact_ATP_Olambda__22) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 258 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tl,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,Uu),scratc678513214nd_n_1)))) # label(fact_ATP_Olambda__23) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 259 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cr,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,Uu),scratc1033366409d_frac)))) # label(fact_ATP_Olambda__24) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 260 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_a,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,Uu),scratc1926537546nd_rat)))) # label(fact_ATP_Olambda__25) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 261 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ku,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,Uu),scratc1893491526nd_nat)))) # label(fact_ATP_Olambda__26) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 262 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aba,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_aaz,Uu))))) # label(fact_ATP_Olambda__27) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 263 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aav,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_aau,Uu))))) # label(fact_ATP_Olambda__28) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 264 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aan,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_aam,Uu))))) # label(fact_ATP_Olambda__29) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 265 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aak,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_aaj,Uu))))) # label(fact_ATP_Olambda__30) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 266 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aah,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_aag,Uu))))) # label(fact_ATP_Olambda__31) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 267 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aae,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_aad,Uu))))) # label(fact_ATP_Olambda__32) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 268 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_aac,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_aab,Uu))))) # label(fact_ATP_Olambda__33) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 269 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zz,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_zy,Uu))))) # label(fact_ATP_Olambda__34) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 270 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zx,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_zw,Uu))))) # label(fact_ATP_Olambda__35) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 271 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zv,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_zu,Uu))))) # label(fact_ATP_Olambda__36) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 272 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zs,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_zr,Uu))))) # label(fact_ATP_Olambda__37) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 273 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zp,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_zo,Uu))))) # label(fact_ATP_Olambda__38) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 274 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zn,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_zm,Uu))))) # label(fact_ATP_Olambda__39) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.74 275 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zj,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_zi,Uu))))) # label(fact_ATP_Olambda__40) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 276 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zh,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_zg,Uu))))) # label(fact_ATP_Olambda__41) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 277 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zf,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_ze,Uu))))) # label(fact_ATP_Olambda__42) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 278 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zd,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_zc,Uu))))) # label(fact_ATP_Olambda__43) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 279 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_zb,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_za,Uu))))) # label(fact_ATP_Olambda__44) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 280 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yz,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_yy,Uu))))) # label(fact_ATP_Olambda__45) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 281 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yx,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_yw,Uu))))) # label(fact_ATP_Olambda__46) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 282 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yv,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_yu,Uu))))) # label(fact_ATP_Olambda__47) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 283 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yt,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_ys,Uu))))) # label(fact_ATP_Olambda__48) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 284 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yr,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_yq,Uu))))) # label(fact_ATP_Olambda__49) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 285 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yp,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_yo,Uu))))) # label(fact_ATP_Olambda__50) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 286 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yn,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_ym,Uu))))) # label(fact_ATP_Olambda__51) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 287 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yl,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_yk,Uu))))) # label(fact_ATP_Olambda__52) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 288 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yj,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_yi,Uu))))) # label(fact_ATP_Olambda__53) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 289 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yh,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_yg,Uu))))) # label(fact_ATP_Olambda__54) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 290 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yf,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_ye,Uu))))) # label(fact_ATP_Olambda__55) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 291 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yd,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_yc,Uu))))) # label(fact_ATP_Olambda__56) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 292 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_yb,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_ya,Uu))))) # label(fact_ATP_Olambda__57) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 293 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xy,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_xx,Uu))))) # label(fact_ATP_Olambda__58) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 294 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xv,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_xu,Uu))))) # label(fact_ATP_Olambda__59) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 295 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xs,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_xr,Uu))))) # label(fact_ATP_Olambda__60) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 296 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xp,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_xo,Uu))))) # label(fact_ATP_Olambda__61) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 297 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xm,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_xl,Uu))))) # label(fact_ATP_Olambda__62) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 298 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xj,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_xi,Uu))))) # label(fact_ATP_Olambda__63) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 299 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xh,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_xg,Uu))))) # label(fact_ATP_Olambda__64) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 300 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xd,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_xc,Uu))))) # label(fact_ATP_Olambda__65) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 301 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_xa,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_wz,Uu))))) # label(fact_ATP_Olambda__66) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 302 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wx,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_ww,Uu))))) # label(fact_ATP_Olambda__67) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 303 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wu,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_wt,Uu))))) # label(fact_ATP_Olambda__68) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 304 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wr,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_wq,Uu))))) # label(fact_ATP_Olambda__69) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 305 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wo,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_wn,Uu))))) # label(fact_ATP_Olambda__70) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 306 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wl,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_wk,Uu))))) # label(fact_ATP_Olambda__71) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 307 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wh,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_wg,Uu))))) # label(fact_ATP_Olambda__72) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 308 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_wd,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_wc,Uu))))) # label(fact_ATP_Olambda__73) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 309 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vz,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_vy,Uu))))) # label(fact_ATP_Olambda__74) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 310 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vv,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_vu,Uu))))) # label(fact_ATP_Olambda__75) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 311 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vs,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_vr,Uu))))) # label(fact_ATP_Olambda__76) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 312 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vp,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_vo,Uu))))) # label(fact_ATP_Olambda__77) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 313 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vm,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_vl,Uu))))) # label(fact_ATP_Olambda__78) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 314 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vj,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_vi,Uu))))) # label(fact_ATP_Olambda__79) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 315 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vg,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_vf,Uu))))) # label(fact_ATP_Olambda__80) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 316 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vd,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_vc,Uu))))) # label(fact_ATP_Olambda__81) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 317 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_va,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_uz,Uu))))) # label(fact_ATP_Olambda__82) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 318 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ux,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_uw,Uu))))) # label(fact_ATP_Olambda__83) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 319 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_uu,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_ut,Uu))))) # label(fact_ATP_Olambda__84) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 320 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ur,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_uq,Uu))))) # label(fact_ATP_Olambda__85) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 321 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_un,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_um,Uu))))) # label(fact_ATP_Olambda__86) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 322 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_uj,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_ui,Uu))))) # label(fact_ATP_Olambda__87) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 323 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_uf,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_ue,Uu))))) # label(fact_ATP_Olambda__88) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 324 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ub,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_ua,Uu))))) # label(fact_ATP_Olambda__89) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 325 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tx,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_tw,Uu))))) # label(fact_ATP_Olambda__90) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 326 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tt,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_ts,Uu))))) # label(fact_ATP_Olambda__91) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 327 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tp,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_to,Uu))))) # label(fact_ATP_Olambda__92) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 328 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ti,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_th,Uu))))) # label(fact_ATP_Olambda__93) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 329 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tg,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_tf,Uu))))) # label(fact_ATP_Olambda__94) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 330 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_te,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_td,Uu))))) # label(fact_ATP_Olambda__95) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 331 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tc,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_tb,Uu))))) # label(fact_ATP_Olambda__96) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 332 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ta,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_sz,Uu))))) # label(fact_ATP_Olambda__97) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 333 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sy,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_sx,Uu))))) # label(fact_ATP_Olambda__98) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 334 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sw,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_sv,Uu))))) # label(fact_ATP_Olambda__99) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 335 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_su,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_st,Uu))))) # label(fact_ATP_Olambda__100) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 336 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sp,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_so,Uu))))) # label(fact_ATP_Olambda__101) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 337 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sm,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_sl,Uu))))) # label(fact_ATP_Olambda__102) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 338 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sj,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_si,Uu))))) # label(fact_ATP_Olambda__103) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 339 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sg,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_sf,Uu))))) # label(fact_ATP_Olambda__104) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 340 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_se,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_sd,Uu))))) # label(fact_ATP_Olambda__105) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 341 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sc,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_sb,Uu))))) # label(fact_ATP_Olambda__106) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 342 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rz,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_ry,Uu))))) # label(fact_ATP_Olambda__107) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 343 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rw,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_rv,Uu))))) # label(fact_ATP_Olambda__108) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 344 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rt,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_rs,Uu))))) # label(fact_ATP_Olambda__109) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 345 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rq,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_rp,Uu))))) # label(fact_ATP_Olambda__110) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 346 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rn,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_rm,Uu))))) # label(fact_ATP_Olambda__111) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 347 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rk,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_rj,Uu))))) # label(fact_ATP_Olambda__112) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 348 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rh,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_rg,Uu))))) # label(fact_ATP_Olambda__113) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 349 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_re,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_rd,Uu))))) # label(fact_ATP_Olambda__114) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 350 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ra,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_qz,Uu))))) # label(fact_ATP_Olambda__115) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 351 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qw,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_qv,Uu))))) # label(fact_ATP_Olambda__116) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 352 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qs,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_qr,Uu))))) # label(fact_ATP_Olambda__117) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 353 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qo,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_qn,Uu))))) # label(fact_ATP_Olambda__118) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 354 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ql,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_qk,Uu))))) # label(fact_ATP_Olambda__119) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 355 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qi,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_qh,Uu))))) # label(fact_ATP_Olambda__120) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 356 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qf,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_qe,Uu))))) # label(fact_ATP_Olambda__121) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 357 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qc,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_qb,Uu))))) # label(fact_ATP_Olambda__122) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 358 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pz,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_py,Uu))))) # label(fact_ATP_Olambda__123) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 359 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pw,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_pv,Uu))))) # label(fact_ATP_Olambda__124) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 360 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pt,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_ps,Uu))))) # label(fact_ATP_Olambda__125) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 361 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pp,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_po,Uu))))) # label(fact_ATP_Olambda__126) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 362 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pl,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_pk,Uu))))) # label(fact_ATP_Olambda__127) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 363 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ph,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_pg,Uu))))) # label(fact_ATP_Olambda__128) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 364 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pd,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_pc,Uu))))) # label(fact_ATP_Olambda__129) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 365 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oz,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_oy,Uu))))) # label(fact_ATP_Olambda__130) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 366 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ov,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_ou,Uu))))) # label(fact_ATP_Olambda__131) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 367 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_or,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_oq,Uu))))) # label(fact_ATP_Olambda__132) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 368 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oh,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_og,Uu))))) # label(fact_ATP_Olambda__133) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 369 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_of,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_oe,Uu))))) # label(fact_ATP_Olambda__134) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 370 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_od,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_oc,Uu))))) # label(fact_ATP_Olambda__135) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 371 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oa,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_nz,Uu))))) # label(fact_ATP_Olambda__136) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 372 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_la,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_kz,Uu))))) # label(fact_ATP_Olambda__137) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 373 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kx,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_kw,Uu))))) # label(fact_ATP_Olambda__138) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 374 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_om,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ol,Uu))))) # label(fact_ATP_Olambda__139) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 375 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ok,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_oj,Uu))))) # label(fact_ATP_Olambda__140) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 376 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nx,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_nw,Uu))))) # label(fact_ATP_Olambda__141) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 377 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nv,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_nu,Uu))))) # label(fact_ATP_Olambda__142) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 378 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nt,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ns,Uu))))) # label(fact_ATP_Olambda__143) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 379 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nr,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_nq,Uu))))) # label(fact_ATP_Olambda__144) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 380 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_np,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_no,Uu))))) # label(fact_ATP_Olambda__145) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 381 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nn,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_nm,Uu))))) # label(fact_ATP_Olambda__146) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 382 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nj,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ni,Uu))))) # label(fact_ATP_Olambda__147) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 383 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nf,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ne,Uu))))) # label(fact_ATP_Olambda__148) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 384 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nd,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_nc,Uu))))) # label(fact_ATP_Olambda__149) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 385 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nb,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_na,Uu))))) # label(fact_ATP_Olambda__150) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 386 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mz,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_my,Uu))))) # label(fact_ATP_Olambda__151) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 387 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mx,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_mw,Uu))))) # label(fact_ATP_Olambda__152) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 388 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mv,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_mu,Uu))))) # label(fact_ATP_Olambda__153) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 389 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mt,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ms,Uu))))) # label(fact_ATP_Olambda__154) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 390 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mr,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_mq,Uu))))) # label(fact_ATP_Olambda__155) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 391 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mp,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_mo,Uu))))) # label(fact_ATP_Olambda__156) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 392 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ml,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_mk,Uu))))) # label(fact_ATP_Olambda__157) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 393 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mh,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_mg,Uu))))) # label(fact_ATP_Olambda__158) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 394 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mf,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_me,Uu))))) # label(fact_ATP_Olambda__159) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 395 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_md,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_mc,Uu))))) # label(fact_ATP_Olambda__160) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 396 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ma,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_lz,Uu))))) # label(fact_ATP_Olambda__161) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 397 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lx,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_lw,Uu))))) # label(fact_ATP_Olambda__162) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 398 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lu,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_lt,Uu))))) # label(fact_ATP_Olambda__163) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 399 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lr,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_lq,Uu))))) # label(fact_ATP_Olambda__164) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 400 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lo,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ln,Uu))))) # label(fact_ATP_Olambda__165) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 401 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lh,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_lg,Uu))))) # label(fact_ATP_Olambda__166) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 402 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_le,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ld,Uu))))) # label(fact_ATP_Olambda__167) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 403 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kt,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ks,Uu))))) # label(fact_ATP_Olambda__168) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 404 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kr,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_kq,Uu))))) # label(fact_ATP_Olambda__169) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 405 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ko,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_kn,Uu))))) # label(fact_ATP_Olambda__170) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 406 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_km,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_kl,Uu))))) # label(fact_ATP_Olambda__171) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 407 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kk,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_kj,Uu))))) # label(fact_ATP_Olambda__172) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 408 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kh,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_kg,Uu))))) # label(fact_ATP_Olambda__173) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 409 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ke,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_kd,Uu))))) # label(fact_ATP_Olambda__174) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 410 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kb,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ka,Uu))))) # label(fact_ATP_Olambda__175) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 411 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jy,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_jx,Uu))))) # label(fact_ATP_Olambda__176) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 412 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jv,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ju,Uu))))) # label(fact_ATP_Olambda__177) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 413 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_js,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_jr,Uu))))) # label(fact_ATP_Olambda__178) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 414 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jo,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_jn,Uu))))) # label(fact_ATP_Olambda__179) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 415 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jk,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_jj,Uu))))) # label(fact_ATP_Olambda__180) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 416 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jg,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_jf,Uu))))) # label(fact_ATP_Olambda__181) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 417 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jc,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_jb,Uu))))) # label(fact_ATP_Olambda__182) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 418 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_iz,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_iy,Uu))))) # label(fact_ATP_Olambda__183) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 419 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_iw,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_iv,Uu))))) # label(fact_ATP_Olambda__184) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 420 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_it,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_is,Uu))))) # label(fact_ATP_Olambda__185) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 421 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_iq,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ip,Uu))))) # label(fact_ATP_Olambda__186) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 422 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_in,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_im,Uu))))) # label(fact_ATP_Olambda__187) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 423 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ik,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ij,Uu))))) # label(fact_ATP_Olambda__188) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 424 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ig,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_if,Uu))))) # label(fact_ATP_Olambda__189) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 425 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ic,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ib,Uu))))) # label(fact_ATP_Olambda__190) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 426 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hy,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_hx,Uu))))) # label(fact_ATP_Olambda__191) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 427 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hu,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ht,Uu))))) # label(fact_ATP_Olambda__192) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 428 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hq,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_hp,Uu))))) # label(fact_ATP_Olambda__193) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 429 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hm,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_hl,Uu))))) # label(fact_ATP_Olambda__194) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 430 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hi,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_hh,Uu))))) # label(fact_ATP_Olambda__195) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 431 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_he,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_hd,Uu))))) # label(fact_ATP_Olambda__196) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 432 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ha,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_gz,Uu))))) # label(fact_ATP_Olambda__197) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 433 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gx,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_gw,Uu))))) # label(fact_ATP_Olambda__198) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 434 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gv,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_gu,Uu))))) # label(fact_ATP_Olambda__199) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 435 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gt,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_gs,Uu))))) # label(fact_ATP_Olambda__200) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 436 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gq,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_gp,Uu))))) # label(fact_ATP_Olambda__201) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 437 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gm,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_gl,Uu))))) # label(fact_ATP_Olambda__202) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 438 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gk,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_gj,Uu))))) # label(fact_ATP_Olambda__203) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 439 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gh,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_gg,Uu))))) # label(fact_ATP_Olambda__204) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 440 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ge,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_gd,Uu))))) # label(fact_ATP_Olambda__205) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 441 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gb,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ga,Uu))))) # label(fact_ATP_Olambda__206) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 442 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fy,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_fx,Uu))))) # label(fact_ATP_Olambda__207) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 443 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fv,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_fu,Uu))))) # label(fact_ATP_Olambda__208) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 444 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fs,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_fr,Uu))))) # label(fact_ATP_Olambda__209) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 445 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fp,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_fo,Uu))))) # label(fact_ATP_Olambda__210) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 446 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fm,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_fl,Uu))))) # label(fact_ATP_Olambda__211) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 447 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fi,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_fh,Uu))))) # label(fact_ATP_Olambda__212) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 448 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fe,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_fd,Uu))))) # label(fact_ATP_Olambda__213) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 449 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fa,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ez,Uu))))) # label(fact_ATP_Olambda__214) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 450 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ew,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ev,Uu))))) # label(fact_ATP_Olambda__215) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 451 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_et,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_es,Uu))))) # label(fact_ATP_Olambda__216) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 452 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_eq,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ep,Uu))))) # label(fact_ATP_Olambda__217) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 453 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_en,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_em,Uu))))) # label(fact_ATP_Olambda__218) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 454 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ek,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ej,Uu))))) # label(fact_ATP_Olambda__219) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 455 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_eh,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_eg,Uu))))) # label(fact_ATP_Olambda__220) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 456 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ee,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ed,Uu))))) # label(fact_ATP_Olambda__221) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 457 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ea,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_dz,Uu))))) # label(fact_ATP_Olambda__222) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 458 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dw,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_dv,Uu))))) # label(fact_ATP_Olambda__223) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 459 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ds,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_dr,Uu))))) # label(fact_ATP_Olambda__224) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 460 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_do,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_dn,Uu))))) # label(fact_ATP_Olambda__225) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 461 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dk,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_dj,Uu))))) # label(fact_ATP_Olambda__226) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 462 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dg,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_df,Uu))))) # label(fact_ATP_Olambda__227) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 463 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dc,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_db,Uu))))) # label(fact_ATP_Olambda__228) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 464 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cy,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_cx,Uu))))) # label(fact_ATP_Olambda__229) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 465 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cu,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ct,Uu))))) # label(fact_ATP_Olambda__230) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 466 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cp,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_co,Uu))))) # label(fact_ATP_Olambda__231) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 467 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cn,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cm,Uu))))) # label(fact_ATP_Olambda__232) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 468 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ck,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cj,Uu))))) # label(fact_ATP_Olambda__233) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 469 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ci,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ch,Uu))))) # label(fact_ATP_Olambda__234) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 470 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cg,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,Uu))))) # label(fact_ATP_Olambda__235) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 471 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ce,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cd,Uu))))) # label(fact_ATP_Olambda__236) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 472 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cc,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,Uu))))) # label(fact_ATP_Olambda__237) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 473 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ab,Uu)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,Uu))))) # label(fact_ATP_Olambda__238) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 474 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ll,Uu)) <-> pp(aa_fun171081125l_bool(scratc1120832677l_some(scratc1033366409d_frac),aa_TPT43085870d_bool(aTP_Lamm_lk,Uu))))) # label(fact_ATP_Olambda__239) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 475 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lj,Uu)) <-> pp(aa_fun171081125l_bool(scratc1120832677l_some(scratc1033366409d_frac),aa_TPT43085870d_bool(aTP_Lamm_li,Uu))))) # label(fact_ATP_Olambda__240) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 476 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tj,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,scratc678513214nd_n_1),aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uu))))) # label(fact_ATP_Olambda__241) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 477 (all Uu aa_TPT494704832TP_ind(aTP_Lamm_bv,Uu) = aa_TPT494704832TP_ind(scratc1704062634d_repl,aa_TPTP_ind_TPTP_ind(scratc460717929tminus(Uu),aa_TPTP_ind_TPTP_ind(scratc1034527736d_Sing,scratc1332618384ptyset)))) # label(fact_ATP_Olambda__242) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 478 (all Uu (gg_TPTP_ind(Uu) -> (pp(aa_TPTP_ind_bool(aTP_Lamm_at,Uu)) <-> Uu != scratc1332618384ptyset))) # label(fact_ATP_Olambda__243) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 479 (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(scratc1859635413d_Inj1,X2) = Uu))))) # label(fact_ATP_Olambda__244) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 480 (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(scratc1859635412d_Inj0,X2) = Uu))))) # label(fact_ATP_Olambda__245) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 481 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cj,Uu),Uua)) <-> scratc2033421303_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc286867143_rt_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc921529522t_more,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc58392886t_less,Uu),Uua)))) # label(fact_ATP_Olambda__246) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 482 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ze,Uu),Uua)) <-> scratc2033421303_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uu),Uua)))) # label(fact_ATP_Olambda__247) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 483 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nw,Uu),Uua)) <-> scratc2033421303_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uu),Uua)))) # label(fact_ATP_Olambda__248) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 484 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ch,Uu),Uua)) <-> pp(scratc1902868149nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc286867143_rt_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc921529522t_more,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc58392886t_less,Uu),Uua))))) # label(fact_ATP_Olambda__249) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 485 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zc,Uu),Uua)) <-> pp(scratc1902868149nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__250) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 486 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nu,Uu),Uua)) <-> pp(scratc1902868149nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__251) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 487 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,Uu),Uua)) <-> pp(scratc1819269114nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc286867143_rt_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc921529522t_more,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc58392886t_less,Uu),Uua))))) # label(fact_ATP_Olambda__252) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 488 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_za,Uu),Uua)) <-> pp(scratc1819269114nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__253) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 489 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ns,Uu),Uua)) <-> pp(scratc1819269114nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__254) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 490 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zm,Uu),Uua)) <-> scratc2033421303_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc1864657319n_some,aa_TPT43085870d_bool(aTP_Lamm_zk(Uu),Uua)),aa_fun171081125l_bool(scratc1864657319n_some,aa_TPT43085870d_bool(aTP_Lamm_zl(Uu),Uua))))) # label(fact_ATP_Olambda__255) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 491 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zi,Uu),Uua)) <-> pp(scratc1902868149nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc1864657319n_some,aa_TPT43085870d_bool(scratc467031683ffprop(Uu),Uua)),aa_fun171081125l_bool(scratc1864657319n_some,aa_TPT43085870d_bool(scratc467031683ffprop(Uua),Uu)))))) # label(fact_ATP_Olambda__256) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 492 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zg,Uu),Uua)) <-> pp(scratc1819269114nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc1864657319n_some,aa_TPT43085870d_bool(scratc467031683ffprop(Uu),Uua)),aa_fun171081125l_bool(scratc1864657319n_some,aa_TPT43085870d_bool(scratc467031683ffprop(Uua),Uu)))))) # label(fact_ATP_Olambda__257) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 493 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_acc,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1527250036d_e_is(Uu),Uua),Uua)))) # label(fact_ATP_Olambda__258) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 494 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oe,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1045713599d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1894803499nd_num,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1811138866nd_den,Uu)),Uua))),Uu)))) # label(fact_ATP_Olambda__259) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 495 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sf,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uua)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uu)),Uua))))) # label(fact_ATP_Olambda__260) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 496 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_si,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uua)),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uua)))))) # label(fact_ATP_Olambda__261) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 497 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aap,Uu),Uua)) <-> pp(scratc1229537902_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,Uua),scratc678513214nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uu)),aa_fun171081125l_bool(scratc654511726_n_all,aa_TPT43085870d_bool(aTP_Lamm_aq,Uua)))))) # label(fact_ATP_Olambda__262) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 498 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sv,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uua),scratc678513214nd_n_1)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,Uua),Uu))))) # label(fact_ATP_Olambda__263) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 499 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sr,Uu),Uua)) <-> pp(scratc1229537902_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,Uua),scratc678513214nd_n_1)),Uu),aa_fun171081125l_bool(scratc654511726_n_all,aa_TPT43085870d_bool(aTP_Lamm_ao(Uu),Uua)))))) # label(fact_ATP_Olambda__264) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 500 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aaz,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__265) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 501 (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(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uua)),Uua))))) # label(fact_ATP_Olambda__266) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 502 (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(scratc1638871472_29_ii,aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uua)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,Uua),Uu))))) # label(fact_ATP_Olambda__267) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 503 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aaj,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uua)))))) # label(fact_ATP_Olambda__268) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 504 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sz,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uua),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),scratc678513214nd_n_1))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,Uua),Uu))))) # label(fact_ATP_Olambda__269) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 505 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_so,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uua)),Uu))))) # label(fact_ATP_Olambda__270) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 506 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sx,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uua),aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uu))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,Uua),Uu))))) # label(fact_ATP_Olambda__271) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 507 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aam,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uua)))))) # label(fact_ATP_Olambda__272) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 508 (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(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,Uu),aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,Uu),Uua)))))) # label(fact_ATP_Olambda__273) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 509 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gw,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uua),aa_TPTP_ind_TPTP_ind(scratc1727780268_367_w(Uu),Uua))),Uu))))) # label(fact_ATP_Olambda__274) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 510 (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(scratc1852708782nd_iii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uua),scratc678513214nd_n_1)),Uu))))) # label(fact_ATP_Olambda__275) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 511 (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(scratc1894016317nd_nis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1894016317nd_nis,aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uua)))))) # label(fact_ATP_Olambda__276) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 512 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_as,Uu),Uua)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1852971185nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910392d_n_in,Uua),Uu)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910392d_n_in,aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uua)),Uu))))) # label(fact_ATP_Olambda__277) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 513 (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(scratc1852708782nd_iii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uua)),Uu))))) # label(fact_ATP_Olambda__278) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 514 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gu,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uua),aa_TPTP_ind_TPTP_ind(scratc1727780268_367_w(Uu),Uua))))))) # label(fact_ATP_Olambda__279) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 515 (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(scratc1638871472_29_ii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,Uua),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),scratc678513214nd_n_1)))))) # label(fact_ATP_Olambda__280) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 516 (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(scratc1638871472_29_ii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,Uua),aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uu)))))) # label(fact_ATP_Olambda__281) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 517 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sd,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uua),Uu))))) # label(fact_ATP_Olambda__282) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 518 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zy,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uua),Uu))))) # label(fact_ATP_Olambda__283) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 519 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gl,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uua),Uu))))) # label(fact_ATP_Olambda__284) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 520 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ks,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uua),Uu))))) # label(fact_ATP_Olambda__285) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 521 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cd,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc921529522t_more,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc58392886t_less,Uua),Uu))))) # label(fact_ATP_Olambda__286) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 522 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc58392886t_less,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc921529522t_more,Uua),Uu))))) # label(fact_ATP_Olambda__287) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 523 (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(scratc1638871472_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uua),Uu))))) # label(fact_ATP_Olambda__288) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 524 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yu,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,Uua),Uu))))) # label(fact_ATP_Olambda__289) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 525 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ys,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,Uua),Uu))))) # label(fact_ATP_Olambda__290) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 526 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_me,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033038400lesseq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029249_moreq,Uua),Uu))))) # label(fact_ATP_Olambda__291) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 527 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_co,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc286867143_rt_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc286867143_rt_is,Uua),Uu))))) # label(fact_ATP_Olambda__292) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 528 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mg,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029249_moreq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033038400lesseq,Uua),Uu))))) # label(fact_ATP_Olambda__293) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 529 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nq,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uua),Uu))))) # label(fact_ATP_Olambda__294) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 530 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_no,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uua),Uu))))) # label(fact_ATP_Olambda__295) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 531 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ol,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uua),Uu))))) # label(fact_ATP_Olambda__296) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 532 (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(scratc1852708782nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uua),Uu))))) # label(fact_ATP_Olambda__297) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 533 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gz,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uu),Uua)) -> pp(aa_fun171081125l_bool(scratc1120832677l_some(scratc1033366409d_frac),aa_TPT43085870d_bool(aTP_Lamm_gy(Uu),Uua)))))) # label(fact_ATP_Olambda__298) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 534 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lg,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uu),Uua)) -> pp(aa_fun171081125l_bool(scratc1120832677l_some(scratc1033366409d_frac),aa_TPT43085870d_bool(aTP_Lamm_lf(Uu),Uua)))))) # label(fact_ATP_Olambda__299) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 535 (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(scratc386354684moreis,Uu),Uua)) -> pp(scratc1337003082_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc58392886t_less,Uu),Uua)))))) # label(fact_ATP_Olambda__300) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 536 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yi,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uu),Uua)) -> pp(scratc1337003082_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,Uu),Uua)))))) # label(fact_ATP_Olambda__301) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 537 (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(scratc1167284410moreis,Uu),Uua)) -> pp(scratc1337003082_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uu),Uua)))))) # label(fact_ATP_Olambda__302) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 538 (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(scratc1033300798lessis,Uu),Uua)) -> pp(scratc1337003082_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uu),Uua)))))) # label(fact_ATP_Olambda__303) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 539 (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(scratc1033038400lesseq,Uu),Uua)) -> pp(scratc1337003082_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uu),Uua)))))) # label(fact_ATP_Olambda__304) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 540 (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(scratc1815029249_moreq,Uu),Uua)) -> pp(scratc1337003082_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uu),Uua)))))) # label(fact_ATP_Olambda__305) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 541 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mw,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uu),Uua)) -> pp(scratc1337003082_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033038400lesseq,Uu),Uua)))))) # label(fact_ATP_Olambda__306) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 542 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mu,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uu),Uua)) -> pp(scratc1337003082_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029249_moreq,Uu),Uua)))))) # label(fact_ATP_Olambda__307) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 543 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yg,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uu),Uua)) -> pp(scratc1337003082_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,Uu),Uua)))))) # label(fact_ATP_Olambda__308) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 544 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xi,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uua)),Uu)))) # label(fact_ATP_Olambda__309) # label(axiom) # label(non_clause). [assumption].
% 1.52/1.75 545 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kn,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uu),Uua)),Uu)))) # label(fact_ATP_Olambda__310) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 546 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_am(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,Uu),Uua)),Uua)) # label(fact_ATP_Olambda__311) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 547 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_bs(Uu),Uua) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1704062634d_repl,aa_TPTP_ind_TPTP_ind(Uu,Uua)),aa_TPT1424761345TP_ind(scratc109383029d_pair,Uua))) # label(fact_ATP_Olambda__312) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 548 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aa_TPT43085870d_bool(aTP_Lamm_abd,Uu)),aa_TPT43085870d_bool(aTP_Lamm_abe(Uu),Uua))))) # label(fact_ATP_Olambda__313) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 549 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aad,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uua))),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uu)),Uua))))) # label(fact_ATP_Olambda__314) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 550 (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(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uua))),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uua)))))) # label(fact_ATP_Olambda__315) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 551 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ym,Uu),Uua)) <-> (pp(scratc1337003082_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,Uu),Uua))))) # label(fact_ATP_Olambda__316) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 552 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ye,Uu),Uua)) <-> (pp(scratc1337003082_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__317) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 553 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yc,Uu),Uua)) <-> (pp(scratc1337003082_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__318) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 554 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mq,Uu),Uua)) <-> (pp(scratc1337003082_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033038400lesseq,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uu),Uua))))) # label(fact_ATP_Olambda__319) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 555 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ms,Uu),Uua)) <-> (pp(scratc1337003082_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029249_moreq,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__320) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 556 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_na,Uu),Uua)) <-> (pp(scratc1337003082_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033038400lesseq,Uu),Uua))))) # label(fact_ATP_Olambda__321) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 557 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_my,Uu),Uua)) <-> (pp(scratc1337003082_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029249_moreq,Uu),Uua))))) # label(fact_ATP_Olambda__322) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 558 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_yk,Uu),Uua)) <-> (pp(scratc1337003082_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,Uu),Uua))))) # label(fact_ATP_Olambda__323) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 559 (all Uu all Uua aa_fun277296641TP_ind(aa_TPT494704832TP_ind(aTP_Lamm_bw,Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc544432387nunion(aa_TPTP_ind_TPTP_ind(scratc1034527736d_Sing,scratc1332618384ptyset)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1704062634d_repl,Uu),Uua))) # label(fact_ATP_Olambda__324) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 560 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_og,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1045713599d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1894803499nd_num,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1811138866nd_den,Uu)),Uua)))))) # label(fact_ATP_Olambda__325) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 561 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kl,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uu),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uu),Uua))))) # label(fact_ATP_Olambda__326) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 562 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zw,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1894016317nd_nis,Uua),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uua))))) # label(fact_ATP_Olambda__327) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 563 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xg,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uu),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uua))))) # label(fact_ATP_Olambda__328) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 564 (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(scratc1045910397d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uua))))) # label(fact_ATP_Olambda__329) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 565 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abd,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,Uua),aa_TPTP_ind_TPTP_ind(scratc980062346_power,Uu))))) # label(fact_ATP_Olambda__330) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 566 (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(scratc1033300798lessis,Uua),Uu)))) # label(fact_ATP_Olambda__331) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 567 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lk,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uua),Uu)))) # label(fact_ATP_Olambda__332) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 568 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_li,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uua),Uu)))) # label(fact_ATP_Olambda__333) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 569 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aax,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910392d_n_in,Uua),Uu)))) # label(fact_ATP_Olambda__334) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 570 (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(scratc1891917144nd_nIn,Uua),Uu)))) # label(fact_ATP_Olambda__335) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 571 (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(scratc146720640bnd_in,Uua),Uu)))) # label(fact_ATP_Olambda__336) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 572 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aab,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_aaa(Uu),Uua))))) # label(fact_ATP_Olambda__337) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 573 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_zt(Uu),Uua))))) # label(fact_ATP_Olambda__338) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 574 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_zq(Uu),Uua))))) # label(fact_ATP_Olambda__339) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 575 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ya,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_xz(Uu),Uua))))) # label(fact_ATP_Olambda__340) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 576 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_xw(Uu),Uua))))) # label(fact_ATP_Olambda__341) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 577 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_xt(Uu),Uua))))) # label(fact_ATP_Olambda__342) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 578 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_xq(Uu),Uua))))) # label(fact_ATP_Olambda__343) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 579 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xo,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_xn(Uu),Uua))))) # label(fact_ATP_Olambda__344) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 580 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_xk(Uu),Uua))))) # label(fact_ATP_Olambda__345) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 581 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_xb(Uu),Uua))))) # label(fact_ATP_Olambda__346) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 582 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_wy(Uu),Uua))))) # label(fact_ATP_Olambda__347) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 583 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ww,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_wv(Uu),Uua))))) # label(fact_ATP_Olambda__348) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 584 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_ws(Uu),Uua))))) # label(fact_ATP_Olambda__349) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 585 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_wp(Uu),Uua))))) # label(fact_ATP_Olambda__350) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 586 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_wm(Uu),Uua))))) # label(fact_ATP_Olambda__351) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 587 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_wj(Uu),Uua))))) # label(fact_ATP_Olambda__352) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 588 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_wf(Uu),Uua))))) # label(fact_ATP_Olambda__353) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 589 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_wb(Uu),Uua))))) # label(fact_ATP_Olambda__354) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 590 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_vx(Uu),Uua))))) # label(fact_ATP_Olambda__355) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 591 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_vt(Uu),Uua))))) # label(fact_ATP_Olambda__356) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 592 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_vq(Uu),Uua))))) # label(fact_ATP_Olambda__357) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 593 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vo,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_vn(Uu),Uua))))) # label(fact_ATP_Olambda__358) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 594 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_vk(Uu),Uua))))) # label(fact_ATP_Olambda__359) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 595 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vi,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_vh(Uu),Uua))))) # label(fact_ATP_Olambda__360) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 596 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_ve(Uu),Uua))))) # label(fact_ATP_Olambda__361) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 597 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_vb(Uu),Uua))))) # label(fact_ATP_Olambda__362) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 598 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_uy(Uu),Uua))))) # label(fact_ATP_Olambda__363) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 599 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_uv(Uu),Uua))))) # label(fact_ATP_Olambda__364) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 600 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ut,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_us(Uu),Uua))))) # label(fact_ATP_Olambda__365) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 601 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_up(Uu),Uua))))) # label(fact_ATP_Olambda__366) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 602 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_um,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_ul(Uu),Uua))))) # label(fact_ATP_Olambda__367) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 603 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ui,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_uh(Uu),Uua))))) # label(fact_ATP_Olambda__368) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 604 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ue,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_ud(Uu),Uua))))) # label(fact_ATP_Olambda__369) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 605 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ua,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_tz(Uu),Uua))))) # label(fact_ATP_Olambda__370) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 606 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_tv(Uu),Uua))))) # label(fact_ATP_Olambda__371) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 607 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ts,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_tr(Uu),Uua))))) # label(fact_ATP_Olambda__372) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 608 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_to,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_tn(Uu),Uua))))) # label(fact_ATP_Olambda__373) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 609 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_sa(Uu),Uua))))) # label(fact_ATP_Olambda__374) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 610 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ry,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_rx(Uu),Uua))))) # label(fact_ATP_Olambda__375) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 611 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_ru(Uu),Uua))))) # label(fact_ATP_Olambda__376) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 612 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rs,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_rr(Uu),Uua))))) # label(fact_ATP_Olambda__377) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 613 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_ro(Uu),Uua))))) # label(fact_ATP_Olambda__378) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 614 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_rl(Uu),Uua))))) # label(fact_ATP_Olambda__379) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 615 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_ri(Uu),Uua))))) # label(fact_ATP_Olambda__380) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 616 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_rf(Uu),Uua))))) # label(fact_ATP_Olambda__381) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 617 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_rc(Uu),Uua))))) # label(fact_ATP_Olambda__382) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 618 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_qy(Uu),Uua))))) # label(fact_ATP_Olambda__383) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 619 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_qu(Uu),Uua))))) # label(fact_ATP_Olambda__384) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 620 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_qq(Uu),Uua))))) # label(fact_ATP_Olambda__385) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 621 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_qm(Uu),Uua))))) # label(fact_ATP_Olambda__386) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 622 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_qj(Uu),Uua))))) # label(fact_ATP_Olambda__387) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 623 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_qg(Uu),Uua))))) # label(fact_ATP_Olambda__388) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 624 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qe,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_qd(Uu),Uua))))) # label(fact_ATP_Olambda__389) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 625 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_qa(Uu),Uua))))) # label(fact_ATP_Olambda__390) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 626 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_py,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_px(Uu),Uua))))) # label(fact_ATP_Olambda__391) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 627 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_pu(Uu),Uua))))) # label(fact_ATP_Olambda__392) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 628 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ps,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_pr(Uu),Uua))))) # label(fact_ATP_Olambda__393) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 629 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_po,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_pn(Uu),Uua))))) # label(fact_ATP_Olambda__394) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 630 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_pj(Uu),Uua))))) # label(fact_ATP_Olambda__395) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 631 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_pf(Uu),Uua))))) # label(fact_ATP_Olambda__396) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 632 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_pb(Uu),Uua))))) # label(fact_ATP_Olambda__397) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 633 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_ox(Uu),Uua))))) # label(fact_ATP_Olambda__398) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 634 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ou,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_ot(Uu),Uua))))) # label(fact_ATP_Olambda__399) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 635 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_op(Uu),Uua))))) # label(fact_ATP_Olambda__400) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 636 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_ob(Uu),Uua))))) # label(fact_ATP_Olambda__401) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 637 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_ny(Uu),Uua))))) # label(fact_ATP_Olambda__402) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 638 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_ky(Uu),Uua))))) # label(fact_ATP_Olambda__403) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 639 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aTP_Lamm_kv(Uu),Uua))))) # label(fact_ATP_Olambda__404) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 640 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_oi(Uu),Uua))))) # label(fact_ATP_Olambda__405) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 641 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_nl(Uu),Uua))))) # label(fact_ATP_Olambda__406) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 642 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ni,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_nh(Uu),Uua))))) # label(fact_ATP_Olambda__407) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 643 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mo,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_mn(Uu),Uua))))) # label(fact_ATP_Olambda__408) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 644 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_mj(Uu),Uua))))) # label(fact_ATP_Olambda__409) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 645 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_mb(Uu),Uua))))) # label(fact_ATP_Olambda__410) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 646 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ly(Uu),Uua))))) # label(fact_ATP_Olambda__411) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 647 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_lv(Uu),Uua))))) # label(fact_ATP_Olambda__412) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 648 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ls(Uu),Uua))))) # label(fact_ATP_Olambda__413) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 649 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_lp(Uu),Uua))))) # label(fact_ATP_Olambda__414) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 650 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ln,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_lm(Uu),Uua))))) # label(fact_ATP_Olambda__415) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 651 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ld,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_lc(Uu),Uua))))) # label(fact_ATP_Olambda__416) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 652 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_kp(Uu),Uua))))) # label(fact_ATP_Olambda__417) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 653 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ki(Uu),Uua))))) # label(fact_ATP_Olambda__418) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 654 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_kf(Uu),Uua))))) # label(fact_ATP_Olambda__419) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 655 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_kc(Uu),Uua))))) # label(fact_ATP_Olambda__420) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 656 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ka,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_jz(Uu),Uua))))) # label(fact_ATP_Olambda__421) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 657 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_jw(Uu),Uua))))) # label(fact_ATP_Olambda__422) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 658 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ju,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_jt(Uu),Uua))))) # label(fact_ATP_Olambda__423) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 659 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_jq(Uu),Uua))))) # label(fact_ATP_Olambda__424) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 660 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_jm(Uu),Uua))))) # label(fact_ATP_Olambda__425) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 661 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ji(Uu),Uua))))) # label(fact_ATP_Olambda__426) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 662 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_je(Uu),Uua))))) # label(fact_ATP_Olambda__427) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 663 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ja(Uu),Uua))))) # label(fact_ATP_Olambda__428) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 664 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ix(Uu),Uua))))) # label(fact_ATP_Olambda__429) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 665 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_iu(Uu),Uua))))) # label(fact_ATP_Olambda__430) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 666 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_is,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ir(Uu),Uua))))) # label(fact_ATP_Olambda__431) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 667 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ip,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_io(Uu),Uua))))) # label(fact_ATP_Olambda__432) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 668 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_im,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_il(Uu),Uua))))) # label(fact_ATP_Olambda__433) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 669 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ij,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ii(Uu),Uua))))) # label(fact_ATP_Olambda__434) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 670 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_if,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ie(Uu),Uua))))) # label(fact_ATP_Olambda__435) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 671 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ib,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ia(Uu),Uua))))) # label(fact_ATP_Olambda__436) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 672 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_hw(Uu),Uua))))) # label(fact_ATP_Olambda__437) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 673 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ht,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_hs(Uu),Uua))))) # label(fact_ATP_Olambda__438) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 674 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ho(Uu),Uua))))) # label(fact_ATP_Olambda__439) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 675 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_hk(Uu),Uua))))) # label(fact_ATP_Olambda__440) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 676 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_hg(Uu),Uua))))) # label(fact_ATP_Olambda__441) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 677 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_hc(Uu),Uua))))) # label(fact_ATP_Olambda__442) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 678 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gs,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_gr(Uu),Uua))))) # label(fact_ATP_Olambda__443) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 679 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_go(Uu),Uua))))) # label(fact_ATP_Olambda__444) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 680 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_gi(Uu),Uua))))) # label(fact_ATP_Olambda__445) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 681 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_gf(Uu),Uua))))) # label(fact_ATP_Olambda__446) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 682 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_gc(Uu),Uua))))) # label(fact_ATP_Olambda__447) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 683 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ga,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_fz(Uu),Uua))))) # label(fact_ATP_Olambda__448) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 684 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_fw(Uu),Uua))))) # label(fact_ATP_Olambda__449) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 685 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ft(Uu),Uua))))) # label(fact_ATP_Olambda__450) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 686 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_fq(Uu),Uua))))) # label(fact_ATP_Olambda__451) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 687 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fo,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_fn(Uu),Uua))))) # label(fact_ATP_Olambda__452) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 688 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_fk(Uu),Uua))))) # label(fact_ATP_Olambda__453) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 689 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_fg(Uu),Uua))))) # label(fact_ATP_Olambda__454) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 690 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_fc(Uu),Uua))))) # label(fact_ATP_Olambda__455) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 691 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ez,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ey(Uu),Uua))))) # label(fact_ATP_Olambda__456) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 692 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ev,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_eu(Uu),Uua))))) # label(fact_ATP_Olambda__457) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 693 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_es,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_er(Uu),Uua))))) # label(fact_ATP_Olambda__458) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 694 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ep,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_eo(Uu),Uua))))) # label(fact_ATP_Olambda__459) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 695 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_em,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_el(Uu),Uua))))) # label(fact_ATP_Olambda__460) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 696 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ej,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ei(Uu),Uua))))) # label(fact_ATP_Olambda__461) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 697 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ef(Uu),Uua))))) # label(fact_ATP_Olambda__462) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 698 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ed,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_ec(Uu),Uua))))) # label(fact_ATP_Olambda__463) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 699 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_dy(Uu),Uua))))) # label(fact_ATP_Olambda__464) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 700 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_du(Uu),Uua))))) # label(fact_ATP_Olambda__465) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 701 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_dq(Uu),Uua))))) # label(fact_ATP_Olambda__466) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 702 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_dm(Uu),Uua))))) # label(fact_ATP_Olambda__467) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 703 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_di(Uu),Uua))))) # label(fact_ATP_Olambda__468) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 704 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_de(Uu),Uua))))) # label(fact_ATP_Olambda__469) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 705 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_db,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_da(Uu),Uua))))) # label(fact_ATP_Olambda__470) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 706 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aTP_Lamm_cw(Uu),Uua))))) # label(fact_ATP_Olambda__471) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 707 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cl(Uu),Uua))))) # label(fact_ATP_Olambda__472) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 708 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ct,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1120832677l_some(scratc1033366409d_frac),aa_TPT43085870d_bool(aTP_Lamm_cs(Uu),Uua))))) # label(fact_ATP_Olambda__473) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 709 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zo,Uu),Uua)) <-> pp(scratc1587274783_amone(scratc1893491526nd_nat,aa_TPT43085870d_bool(aTP_Lamm_zk(Uu),Uua))))) # label(fact_ATP_Olambda__474) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 710 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_ap(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,Uu),Uua))) # label(fact_ATP_Olambda__475) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 711 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_bp(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1487324212_union,aa_TPTP_ind_TPTP_ind(Uu,Uua))) # label(fact_ATP_Olambda__476) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 712 (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(scratc109383029d_pair,Uu),X3)))))) # label(fact_ATP_Olambda__477) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 713 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abn(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1527250036d_e_is(aa_TPTP_ind_TPTP_ind(scratc726720894etprod(Uu),Uua)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2130300003d_pair(Uu,Uua),aa_TPTP_ind_TPTP_ind(scratc2040376309_first(Uu,Uua),Uub)),aa_TPTP_ind_TPTP_ind(scratc1852656431second(Uu,Uua),Uub))),Uub)))) # label(fact_ATP_Olambda__478) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 714 (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(scratc146720632bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,scratc1332618384ptyset),Uub),Uu),Uua)) # label(fact_ATP_Olambda__479) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 715 (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(scratc146720632bnd_if(aa_TPTP_ind_bool(Uua,Uub),Uub),scratc1820121965nd_eps(aa_fun1584354236d_bool(aTP_Lamm_bm(Uu),Uua)))) # label(fact_ATP_Olambda__480) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 716 (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(scratc262287102d_esti(Uu),Uub),Uua)))) # label(fact_ATP_Olambda__481) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 717 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_abg(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc262287102d_esti(Uu),Uub),aa_fun1431113780TP_ind(scratc1113286453_d_Sep(Uu),Uua))) -> pp(aa_TPTP_ind_bool(Uua,Uub))))) # label(fact_ATP_Olambda__482) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 718 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abe(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1194729545d_incl(Uu),Uua),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1194729545d_incl(Uu),Uub),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1527250036d_e_is(aa_TPTP_ind_TPTP_ind(scratc980062346_power,Uu)),Uua),Uub)))))) # label(fact_ATP_Olambda__483) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 719 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abo(Uu),Uua),Uub)) <-> scratc94598652_is_of(aa_TPTP_ind_TPTP_ind(scratc1852656431second(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_au,Uua)))) # label(fact_ATP_Olambda__484) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 720 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abp(Uu),Uua),Uub)) <-> scratc94598652_is_of(aa_TPTP_ind_TPTP_ind(scratc2040376309_first(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_au,Uu)))) # label(fact_ATP_Olambda__485) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 721 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_abv(Uu),Uua),Uub)) <-> scratc94598652_is_of(aa_TPTP_ind_TPTP_ind(scratc1527250031d_e_in(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_au,Uu)))) # label(fact_ATP_Olambda__486) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 722 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abz(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aa_TPT43085870d_bool(aTP_Lamm_abw(Uu),Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aby(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__487) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 723 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ky(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1045713599d_n_fr,Uu),Uub)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1045713599d_n_fr,Uua),Uub))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1045713599d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uua)),Uub))))) # label(fact_ATP_Olambda__488) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 724 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ny(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1045713599d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uua),Uub))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1045713599d_n_fr,Uu),Uua))))) # label(fact_ATP_Olambda__489) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 725 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qa(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__490) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 726 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vh(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__491) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 727 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uy(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__492) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 728 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eu(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uu),Uua))))) # label(fact_ATP_Olambda__493) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 729 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_el(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uu),Uua))))) # label(fact_ATP_Olambda__494) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 730 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ja(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uu),Uua))))) # label(fact_ATP_Olambda__495) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 731 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ir(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uu),Uua))))) # label(fact_ATP_Olambda__496) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 732 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eo(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__497) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 733 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ef(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__498) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 734 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iu(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__499) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 735 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_il(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__500) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 736 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_px(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__501) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 737 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,Uua),Uub))))) # label(fact_ATP_Olambda__502) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 738 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ve(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__503) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 739 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uv(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__504) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 740 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_er(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),Uua))))) # label(fact_ATP_Olambda__505) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 741 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ei(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),Uua))))) # label(fact_ATP_Olambda__506) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 742 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ix(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),Uua))))) # label(fact_ATP_Olambda__507) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 743 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_io(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),Uua))))) # label(fact_ATP_Olambda__508) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 744 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pu(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__509) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 745 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vb(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__510) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 746 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_us(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__511) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 747 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kv(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1045713599d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1045713599d_n_fr,Uu),Uub)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1045713599d_n_fr,Uua),Uub)))))) # label(fact_ATP_Olambda__512) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 748 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rx(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__513) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 749 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aaa(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__514) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 750 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gi(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uu),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uua),Uub)))))) # label(fact_ATP_Olambda__515) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 751 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kp(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uu),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__516) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 752 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sa(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uua),Uub))),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uub)))))) # label(fact_ATP_Olambda__517) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 753 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gf(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uu),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uua),Uub))),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uu),Uub)))))) # label(fact_ATP_Olambda__518) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 754 (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(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(scratc1092797800rdsucc,Uub))),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,Uua),Uub)),Uu))))) # label(fact_ATP_Olambda__519) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 755 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uua),Uub)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uub),aa_TPTP_ind_TPTP_ind(scratc1727780268_367_w(Uu),Uua))))))) # label(fact_ATP_Olambda__520) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 756 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ob(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1045713599d_n_fr,Uu),Uua)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1045713599d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__521) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 757 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ru(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__522) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 758 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rl(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__523) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 759 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xb(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__524) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 760 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ws(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__525) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 761 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xn(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uu),Uub)))))) # label(fact_ATP_Olambda__526) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 762 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qm(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__527) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 763 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qj(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__528) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 764 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vt(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__529) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 765 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__530) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 766 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uu),Uub)))))) # label(fact_ATP_Olambda__531) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 767 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qg(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__532) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 768 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qd(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__533) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 769 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vn(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__534) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 770 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vk(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__535) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 771 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xk(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,Uu),Uub)))))) # label(fact_ATP_Olambda__536) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 772 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xw(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__537) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.76 773 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lm(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033038400lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033038400lesseq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033038400lesseq,Uu),Uub)))))) # label(fact_ATP_Olambda__538) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 774 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ly(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033038400lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__539) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 775 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc286867143_rt_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc286867143_rt_is,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc286867143_rt_is,Uu),Uub)))))) # label(fact_ATP_Olambda__540) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 776 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ls(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029249_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uu),Uub)))))) # label(fact_ATP_Olambda__541) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 777 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gc(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uua),Uub)))))) # label(fact_ATP_Olambda__542) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 778 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ft(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uub),Uua)))))) # label(fact_ATP_Olambda__543) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 779 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ki(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__544) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 780 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jz(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uub),Uua)))))) # label(fact_ATP_Olambda__545) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 781 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lp(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029249_moreq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uu),Uub)))))) # label(fact_ATP_Olambda__546) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 782 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fw(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uua),Uub)))))) # label(fact_ATP_Olambda__547) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 783 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fn(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uub),Uua)))))) # label(fact_ATP_Olambda__548) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 784 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kc(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__549) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 785 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jt(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uub),Uua)))))) # label(fact_ATP_Olambda__550) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 786 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lv(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033038400lesseq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__551) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 787 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mb(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__552) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 788 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rr(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__553) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 789 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ri(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__554) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 790 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wy(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__555) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 791 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wp(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__556) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 792 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fz(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uua),Uub)))))) # label(fact_ATP_Olambda__557) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 793 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uub),Uua)))))) # label(fact_ATP_Olambda__558) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 794 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kf(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__559) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 795 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jw(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uub),Uua)))))) # label(fact_ATP_Olambda__560) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 796 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oi(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),Uub)))))) # label(fact_ATP_Olambda__561) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 797 (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(scratc1894016317nd_nis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1894016317nd_nis,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uub)))))) # label(fact_ATP_Olambda__562) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 798 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ro(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__563) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 799 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rf(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__564) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 800 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wv(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__565) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 801 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wm(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__566) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 802 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xt(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__567) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 803 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_xz(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__568) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 804 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lf(Uu),Uua),Uub)) <-> pp(scratc1229537902_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uu),Uub),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uub),Uua))))) # label(fact_ATP_Olambda__569) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 805 (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(scratc146720640bnd_in,Uub),Uu)) & pp(aa_TPTP_ind_bool(Uua,Uub)))) # label(fact_ATP_Olambda__570) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 806 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cs(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uua),Uub)),Uu)))) # label(fact_ATP_Olambda__571) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 807 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gy(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uua),Uub)),Uu)))) # label(fact_ATP_Olambda__572) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 808 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_abs(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997734240_image(aa_fun1431113780TP_ind(scratc1113286453_d_Sep(Uu),Uua),Uu),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1296756572_Sigma,aa_fun1431113780TP_ind(scratc1113286453_d_Sep(Uu),Uua)),scratc1527250031d_e_in(Uu,Uua))),Uub))))) # label(fact_ATP_Olambda__573) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 809 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_abh(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc262287102d_esti(Uu),Uub),aa_fun1431113780TP_ind(scratc1113286453_d_Sep(Uu),Uua)))))) # label(fact_ATP_Olambda__574) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 810 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_acb(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uu)),aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_aca(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__575) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 811 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_bo(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uu)),aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_bn(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__576) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 812 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abr(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_abq(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__577) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 813 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abl(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_abk(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__578) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 814 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abj(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_abi(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__579) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 815 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_abw(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,Uub),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc386045762d_d_Pi,Uu),aTP_Lamm_aj(Uua)))))) # label(fact_ATP_Olambda__580) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 816 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zk(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uua),Uub))))) # label(fact_ATP_Olambda__581) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 817 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_zl(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,Uua),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uub))))) # label(fact_ATP_Olambda__582) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 818 (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(scratc146720640bnd_in,Uub),aa_TPTP_ind_TPTP_ind(scratc726720894etprod(Uu),Uua))))) # label(fact_ATP_Olambda__583) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 819 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_abt(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,Uub),aa_fun1431113780TP_ind(scratc1113286453_d_Sep(Uu),Uua))))) # label(fact_ATP_Olambda__584) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 820 (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(scratc146195850bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,Uu),Uub))) # label(fact_ATP_Olambda__585) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 821 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wj(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wi(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__586) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 822 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wf(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_we(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__587) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 823 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wb(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wa(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__588) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 824 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vx(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_vw(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__589) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 825 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_up(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_uo(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__590) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 826 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ul(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_uk(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__591) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 827 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uh(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ug(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__592) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 828 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ud(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_uc(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__593) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 829 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tz(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ty(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__594) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 830 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tv(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tu(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__595) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 831 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tr(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tq(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__596) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 832 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tn(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tm(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__597) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 833 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rc(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_rb(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__598) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 834 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qy(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qx(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__599) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 835 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qu(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qt(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__600) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 836 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qq(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qp(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__601) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 837 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pr(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pq(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__602) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 838 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pn(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pm(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__603) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 839 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pj(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pi(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__604) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 840 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pf(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pe(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__605) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 841 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pb(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pa(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__606) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 842 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ox(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ow(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__607) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 843 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ot(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_os(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__608) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 844 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_op(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_ku),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_oo(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__609) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 845 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nl(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_nk(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__610) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 846 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nh(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ng(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__611) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 847 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mn(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mm(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__612) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 848 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mj(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mi(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__613) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 849 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lc(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lb(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__614) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 850 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jq(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jp(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__615) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 851 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jm(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jl(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__616) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 852 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ji(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jh(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__617) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 853 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_je(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jd(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__618) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 854 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ii(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ih(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__619) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 855 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ie(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_id(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__620) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 856 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ia(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hz(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__621) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 857 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hw(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hv(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__622) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 858 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hs(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hr(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__623) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 859 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ho(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hn(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__624) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 860 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hk(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hj(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__625) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 861 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hg(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hf(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__626) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 862 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hc(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hb(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__627) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 863 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_go(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gn(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__628) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 864 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fk(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fj(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__629) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 865 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fg(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ff(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__630) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 866 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fc(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fb(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__631) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 867 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ey(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ex(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__632) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 868 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ec(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_eb(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__633) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 869 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dy(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dx(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__634) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 870 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_du(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dt(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__635) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 871 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dq(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dp(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__636) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 872 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dm(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__637) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 873 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_di(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dh(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__638) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 874 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_de(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dd(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__639) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 875 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_da(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cz(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__640) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 876 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cw(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2010171869all_of(aTP_Lamm_cr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cv(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__641) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 877 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_af(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1120832677l_some(scratc1033366409d_frac),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ae(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__642) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 878 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ad(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1120832677l_some(scratc1033366409d_frac),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ac(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__643) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 879 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_abu(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(Uua,aa_TPTP_ind_TPTP_ind(scratc1527250031d_e_in(Uu,Uua),Uub))))) # label(fact_ATP_Olambda__644) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 880 (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(scratc146720640bnd_in,X3),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146720640bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,Uub),X3)),aa_TPTP_ind_TPTP_ind(Uua,X3)))))))) # label(fact_ATP_Olambda__645) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 881 (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(scratc1853430367nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1527250036d_e_is(aa_TPTP_ind_TPTP_ind(scratc833379267_d_1to,scratc678513215nd_n_2)),Uuc),scratc1042236854d_n_1t),Uu,Uua),Uub)) # label(fact_ATP_Olambda__646) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 882 (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(scratc146720632bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997734240_image(Uu,Uua),Uub),Uuc),aa_TPTP_ind_TPTP_ind(scratc419125253d_soft(Uu,Uua,Uub),Uuc)),scratc1332618384ptyset)) # label(fact_ATP_Olambda__647) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 883 (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)) <-> scratc1392548439d_and3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1853036774nd_inf,Uub),aa_TPTP_ind_TPTP_ind(scratc822999453_class,Uu)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1853036774nd_inf,Uuc),aa_TPTP_ind_TPTP_ind(scratc822999453_class,Uua)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uub),Uuc)))) # label(fact_ATP_Olambda__648) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 884 (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)) <-> scratc1392548439d_and3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1853036774nd_inf,Uub),aa_TPTP_ind_TPTP_ind(scratc822999453_class,Uu)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1853036774nd_inf,Uuc),aa_TPTP_ind_TPTP_ind(scratc822999453_class,Uua)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uub),Uuc)))) # label(fact_ATP_Olambda__649) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 885 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_abk(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1527250036d_e_is(Uu),aa_TPTP_ind_TPTP_ind(scratc2040376309_first(Uu,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2130300003d_pair(Uu,Uua),Uub),Uuc))),Uub)))) # label(fact_ATP_Olambda__650) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 886 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_abi(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1527250036d_e_is(Uua),aa_TPTP_ind_TPTP_ind(scratc1852656431second(Uu,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2130300003d_pair(Uu,Uua),Uub),Uuc))),Uuc)))) # label(fact_ATP_Olambda__651) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 887 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_abx(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1527250036d_e_is(Uu),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,Uua),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,Uub),Uuc))))) # label(fact_ATP_Olambda__652) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 888 (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(scratc262287102d_esti(Uu),Uub),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,Uua),Uuc))))) # label(fact_ATP_Olambda__653) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 889 (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(scratc1527250036d_e_is(Uu),Uub),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,Uua),Uuc))))) # label(fact_ATP_Olambda__654) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 890 (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)) <-> scratc94598652_is_of(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2130300003d_pair(Uu,Uua),Uub),Uuc),aa_TPT43085870d_bool(aTP_Lamm_abm(Uu),Uua)))) # label(fact_ATP_Olambda__655) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 891 (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(scratc914003055d_l_ec(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc262287102d_esti(Uu),Uuc),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc262287102d_esti(Uu),Uuc),Uub))))) # label(fact_ATP_Olambda__656) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 892 (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(scratc1852971185nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc262287102d_esti(Uu),Uuc),Uua)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc262287102d_esti(Uu),Uuc),Uub))))) # label(fact_ATP_Olambda__657) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 893 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cv(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uua),Uub)),Uu)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uua),Uuc)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uub),Uuc)))))) # label(fact_ATP_Olambda__658) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 894 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hb(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uua),Uub)),Uu)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uua),Uuc)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uub),Uuc)))))) # label(fact_ATP_Olambda__659) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 895 (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)) <-> (pp(aa_fun171081125l_bool(scratc2010171869all_of(aa_TPT43085870d_bool(aTP_Lamm_au,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_abx(Uua),Uub),Uuc))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1527250036d_e_is(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc386045762d_d_Pi,Uu),aTP_Lamm_aj(Uua))),Uub),Uuc))))) # label(fact_ATP_Olambda__660) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 896 (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__661) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 897 (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(scratc1638871472_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__662) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 898 (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(scratc1638871472_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__663) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 899 (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(scratc1638871472_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__664) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 900 (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(scratc1638871472_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__665) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 901 (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(scratc1167284410moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__666) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 902 (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(scratc1167284410moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__667) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 903 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_os(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__668) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 904 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tq(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1167284410moreis,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__669) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 905 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_oo(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__670) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 906 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tm(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__671) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 907 (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(scratc1033300798lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__672) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 908 (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(scratc1033300798lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__673) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 909 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cz(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033038400lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033038400lesseq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033038400lesseq,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__674) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 910 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hf(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033038400lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033038400lesseq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033038400lesseq,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__675) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 911 (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(scratc1033038400lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__676) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 912 (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(scratc1033038400lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__677) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 913 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mi(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033038400lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033038400lesseq,Uub),Uuc))))))) # label(fact_ATP_Olambda__678) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 914 (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(scratc1815029249_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029249_moreq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029249_moreq,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__679) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 915 (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(scratc1815029249_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029249_moreq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029249_moreq,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__680) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 916 (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(scratc1815029249_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__681) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 917 (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(scratc1815029249_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__682) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 918 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mm(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029249_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029249_moreq,Uub),Uuc))))))) # label(fact_ATP_Olambda__683) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 919 (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(scratc1815029238_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029249_moreq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__684) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 920 (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(scratc1815029238_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029249_moreq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__685) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 921 (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(scratc1815029238_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__686) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 922 (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(scratc1815029238_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__687) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 923 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_nk(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uub),Uuc))))))) # label(fact_ATP_Olambda__688) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 924 (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(scratc1468707442_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033038400lesseq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__689) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 925 (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(scratc1468707442_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033038400lesseq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__690) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 926 (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(scratc1468707442_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__691) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 927 (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(scratc1468707442_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__692) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 928 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ng(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uub),Uuc))))))) # label(fact_ATP_Olambda__693) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 929 (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(scratc1045910397d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__694) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 930 (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(scratc1045910397d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uuc),Uua))))))) # label(fact_ATP_Olambda__695) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 931 (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(scratc1045910397d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__696) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 932 (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(scratc1045910397d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1638871472_29_ii,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uuc),Uua))))))) # label(fact_ATP_Olambda__697) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 933 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qt(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__698) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 934 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qp(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uuc),Uua))))))) # label(fact_ATP_Olambda__699) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 935 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wa(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__700) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 936 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_vw(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045910397d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uuc),Uua))))))) # label(fact_ATP_Olambda__701) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 937 (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(scratc1045647999d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__702) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 938 (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(scratc1045647999d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uuc),Uua))))))) # label(fact_ATP_Olambda__703) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 939 (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(scratc1045647999d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__704) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 940 (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(scratc1045647999d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815029238_moref,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uuc),Uua))))))) # label(fact_ATP_Olambda__705) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 941 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fb(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__706) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 942 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ex(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uuc),Uua))))))) # label(fact_ATP_Olambda__707) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 943 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jh(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__708) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 944 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jd(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1468707442_lessf,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uuc),Uua))))))) # label(fact_ATP_Olambda__709) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 945 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gn(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631973d_n_tf(Uua),Uuc))))))) # label(fact_ATP_Olambda__710) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 946 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lb(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1045647999d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369577d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__711) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 947 (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(scratc1852708782nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__712) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 948 (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(scratc1852708782nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033300798lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__713) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 949 (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(scratc1852708782nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046631986d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__714) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 950 (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(scratc1852708782nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1852708782nd_iii,aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1046369583d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__715) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 951 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_aca(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1527250036d_e_is(Uu),Uub),Uuc)) -> pp(aa_TPTP_ind_bool(Uua,Uuc)))))) # label(fact_ATP_Olambda__716) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 952 (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(scratc1527250036d_e_is(Uu),Uub),Uuc)))))) # label(fact_ATP_Olambda__717) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 953 (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(scratc1786813542nd_all(Uu),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_bk(Uu),Uua),Uub),Uuc))))) # label(fact_ATP_Olambda__718) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 954 (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(scratc1120832677l_some(Uua),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bb(Uu),Uub),Uuc))))) # label(fact_ATP_Olambda__719) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 955 (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(scratc146195850bnd_ap,Uub),aa_TPTP_ind_TPTP_ind(scratc1056015019ght1to(Uu,Uua),Uuc))) # label(fact_ATP_Olambda__720) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 956 (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(scratc146195850bnd_ap,Uub),aa_TPTP_ind_TPTP_ind(scratc861240938eft1to(Uu,Uua),Uuc))) # label(fact_ATP_Olambda__721) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 957 (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(scratc1852971185nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1527250036d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,Uub),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,Uub),Uud))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1527250036d_e_is(Uu),Uuc),Uud))))) # label(fact_ATP_Olambda__722) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.77 958 (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(scratc1527250036d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,Uub),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,Uub),Uud)))))) # label(fact_ATP_Olambda__723) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.78 959 (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(scratc2010171869all_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__724) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.78 960 (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(scratc2010171869all_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__725) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.78 961 (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(scratc146195850bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1093440500wissel(Uu,Uub),Uuc)),Uud))) # label(fact_ATP_Olambda__726) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.78 962 (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(scratc2010171869all_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__727) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.78 963 (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(scratc1527250036d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,Uub),Uuc)),Uue)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc146195850bnd_ap,Uub),Uud)),Uuf))))))) # label(fact_ATP_Olambda__728) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.78 964 (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(scratc2010171869all_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__729) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.78 965 (all Uu all Uua (gg_TPTP_ind(Uu) -> aa_TPTP_ind_TPTP_ind(aTP_Lamm_aj(Uu),Uua) = Uu)) # label(fact_ATP_Olambda__730) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.78 966 (all Uu (gg_TPTP_ind(Uu) -> aa_TPTP_ind_TPTP_ind(aTP_Lamm_an,Uu) = Uu)) # label(fact_ATP_Olambda__731) # label(axiom) # label(non_clause). [assumption].
% 1.53/1.78 967 (all Uu aa_TPTP_ind_TPTP_ind(aTP_Lamm_al,Uu) = scratc1893491526nd_nat) # label(fact_ATP_Olambda__732) # label(axiom) # label(non_clause). [assumption].
% 1.63/1.91 968 (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].
% 1.63/1.91 969 (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].
% 1.63/1.91 970 (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].
% 1.63/1.91 971 (all P (gg_bool(P) -> P = fTrue | P = fFalse)) # label(help_fFalse_1_1_T) # label(axiom) # label(non_clause). [assumption].
% 1.63/1.91 972 (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].
% 1.63/1.91 973 (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].
% 1.63/1.91 974 (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].
% 1.63/1.91 975 (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].
% 1.63/1.91 976 (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].
% 1.63/1.91 977 (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].
% 1.63/1.91 978 (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].
% 1.63/1.91 979 (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].
% 1.63/1.92 980 (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].
% 1.63/1.92
% 1.63/1.92 ============================== end of process non-clausal formulas ===
% 1.63/1.92
% 1.63/1.92 ============================== PROCESS INITIAL CLAUSES ===============
% 1.63/1.92
% 1.63/1.92 ============================== PREDICATE ELIMINATION =================
% 1.63/1.92 981 -gg_bool(A) | A = fTrue | A = fFalse # label(help_fFalse_1_1_T) # label(axiom). [clausify(971)].
% 1.63/1.92 982 gg_bool(undefined_bool(bool)) # label(gsy_c_HOL_Oundefined_001t__HOL__Obool) # label(axiom). [assumption].
% 1.63/1.92 983 gg_bool(scratc1587274783_amone(A,B)) # label(gsy_c_Scratch__tptp__translate__62605__5211_ONUM784__thf__4__p_Obnd__amone) # label(axiom). [clausify(1)].
% 1.63/1.92 984 gg_bool(scratc1229537902_d_and(A,B)) # label(gsy_c_Scratch__tptp__translate__62605__5211_ONUM784__thf__4__p_Obnd__d__and) # label(axiom). [clausify(2)].
% 1.63/1.92 985 gg_bool(scratc1337003082_d_not(A)) # label(gsy_c_Scratch__tptp__translate__62605__5211_ONUM784__thf__4__p_Obnd__d__not) # label(axiom). [clausify(3)].
% 1.63/1.92 986 gg_bool(scratc1819269114nd_ec3(A,B,C)) # label(gsy_c_Scratch__tptp__translate__62605__5211_ONUM784__thf__4__p_Obnd__ec3) # label(axiom). [clausify(4)].
% 1.63/1.92 987 gg_bool(scratc914003055d_l_ec(A,B)) # label(gsy_c_Scratch__tptp__translate__62605__5211_ONUM784__thf__4__p_Obnd__l__ec) # label(axiom). [clausify(8)].
% 1.63/1.92 988 gg_bool(scratc1902868149nd_or3(A,B,C)) # label(gsy_c_Scratch__tptp__translate__62605__5211_ONUM784__thf__4__p_Obnd__or3) # label(axiom). [clausify(9)].
% 1.63/1.92 989 gg_bool(aa_bool_bool(A,B)) # label(gsy_c_aa_001t__HOL__Obool_001t__HOL__Obool) # label(axiom). [clausify(10)].
% 4.14/4.36 990 gg_bool(aa_TPTP_ind_bool(A,B)) # label(gsy_c_aa_001t__TPTP____Interpret__Oind_001t__HOL__Obool) # label(axiom). [clausify(11)].
% 4.14/4.36 991 gg_bool(aa_fun171081125l_bool(A,B)) # label(gsy_c_aa_001t__fun_It__TPTP____Interpret__Oind_Mt__HOL__Obool_J_001t__HOL__Obool) # label(hypothesis). [clausify(13)].
% 4.14/4.36 992 gg_bool(fEx_TPTP_ind(A)) # label(gsy_c_fEx_001t__TPTP____Interpret__Oind) # label(axiom). [clausify(16)].
% 4.14/4.36 993 gg_bool(fFalse) # label(gsy_c_fFalse) # label(axiom). [assumption].
% 4.14/4.36 994 gg_bool(fTrue) # label(gsy_c_fTrue) # label(axiom). [assumption].
% 4.14/4.36 Derived: undefined_bool(bool) = fTrue | undefined_bool(bool) = fFalse. [resolve(981,a,982,a)].
% 4.14/4.36 Derived: scratc1587274783_amone(A,B) = fTrue | scratc1587274783_amone(A,B) = fFalse. [resolve(981,a,983,a)].
% 4.14/4.36 Derived: scratc1229537902_d_and(A,B) = fTrue | scratc1229537902_d_and(A,B) = fFalse. [resolve(981,a,984,a)].
% 4.14/4.36 Derived: scratc1337003082_d_not(A) = fTrue | scratc1337003082_d_not(A) = fFalse. [resolve(981,a,985,a)].
% 4.14/4.36 Derived: scratc1819269114nd_ec3(A,B,C) = fTrue | scratc1819269114nd_ec3(A,B,C) = fFalse. [resolve(981,a,986,a)].
% 4.14/4.36 Derived: scratc914003055d_l_ec(A,B) = fTrue | scratc914003055d_l_ec(A,B) = fFalse. [resolve(981,a,987,a)].
% 4.14/4.36 Derived: scratc1902868149nd_or3(A,B,C) = fTrue | scratc1902868149nd_or3(A,B,C) = fFalse. [resolve(981,a,988,a)].
% 4.14/4.36 Derived: aa_bool_bool(A,B) = fTrue | aa_bool_bool(A,B) = fFalse. [resolve(981,a,989,a)].
% 4.14/4.36 Derived: aa_TPTP_ind_bool(A,B) = fTrue | aa_TPTP_ind_bool(A,B) = fFalse. [resolve(981,a,990,a)].
% 4.14/4.36 Derived: aa_fun171081125l_bool(A,B) = fTrue | aa_fun171081125l_bool(A,B) = fFalse. [resolve(981,a,991,a)].
% 4.14/4.36 Derived: fEx_TPTP_ind(A) = fTrue | fEx_TPTP_ind(A) = fFalse. [resolve(981,a,992,a)].
% 4.14/4.36 Derived: fFalse = fTrue | fFalse = fFalse. [resolve(981,a,993,a)].
% 4.14/4.36 Derived: fTrue = fTrue | fTrue = fFalse. [resolve(981,a,994,a)].
% 4.14/4.36 995 scratc1308937845d_r_ec(A,B) | pp(A) # label(fact_def__r__ec) # label(axiom). [clausify(106)].
% 4.14/4.36 996 -scratc1308937845d_r_ec(A,B) | -pp(A) | pp(scratc1337003082_d_not(B)) # label(fact_def__r__ec) # label(axiom). [clausify(106)].
% 4.14/4.36 997 scratc1308937845d_r_ec(A,B) | -pp(scratc1337003082_d_not(B)) # label(fact_def__r__ec) # label(axiom). [clausify(106)].
% 4.14/4.36 998 scratc2123679352_l_iff(A,B) | -pp(scratc1229537902_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1852971185nd_imp,A),B),aa_bool_bool(aa_boo1142376798l_bool(scratc1852971185nd_imp,B),A))) # label(fact_def__l__iff) # label(axiom). [clausify(138)].
% 4.14/4.36 999 -scratc2123679352_l_iff(A,B) | pp(scratc1229537902_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1852971185nd_imp,A),B),aa_bool_bool(aa_boo1142376798l_bool(scratc1852971185nd_imp,B),A))) # label(fact_def__l__iff) # label(axiom). [clausify(138)].
% 4.14/4.36 1000 scratc1616462652d_orec(A,B) | -pp(scratc1229537902_d_and(aa_bool_bool(scratc914659060d_l_or(A),B),scratc914003055d_l_ec(A,B))) # label(fact_def__orec) # label(axiom). [clausify(139)].
% 4.14/4.36 1001 -scratc1616462652d_orec(A,B) | pp(scratc1229537902_d_and(aa_bool_bool(scratc914659060d_l_or(A),B),scratc914003055d_l_ec(A,B))) # label(fact_def__orec) # label(axiom). [clausify(139)].
% 4.14/4.36 1002 scratc1968107459nd_wel(A) | -pp(scratc1337003082_d_not(scratc1337003082_d_not(A))) # label(fact_def__wel) # label(axiom). [clausify(144)].
% 4.14/4.36 1003 -scratc1968107459nd_wel(A) | pp(scratc1337003082_d_not(scratc1337003082_d_not(A))) # label(fact_def__wel) # label(axiom). [clausify(144)].
% 4.14/4.36 1004 -scratc1968107459nd_wel(A) | pp(A) # label(fact_l__et) # label(axiom). [clausify(196)].
% 4.14/4.36 Derived: pp(A) | -pp(scratc1337003082_d_not(scratc1337003082_d_not(A))). [resolve(1004,a,1002,a)].
% 4.14/4.36
% 4.14/4.36 ============================== end predicate elimination =============
% 4.14/4.36
% 4.14/4.36 Auto_denials: (non-Horn, no changes).
% 4.14/4.36
% 4.14/4.36 Term ordering decisions:
% 4.14/4.36 Function symbol KB weights: aTP_Lamm_ku=1. aTP_Lamm_cr=1. scratc1045647999d_n_eq=1. scratc1045910397d_n_is=1. scratc1468707442_lessf=1. scratc1815029238_moref=1. scratc1852708782nd_iii=1. scratc1638871472_29_ii=1. scratc146720640bnd_in=1. scratc1092797800rdsucc=1. scratc1033300798lessis=1. scratc146195850bnd_ap=1. scratc1167284410moreis=1. scratc678513214nd_n_1=1. aTP_Lamm_au=1. scratc1033038400lesseq=1. scratc1815029249_moreq=1. scratc1893491526nd_nat=1. scratc1296756572_Sigma=1. scratc1332618384ptyset=1. scratc1045713599d_n_fr=1. scratc1811138866nd_den=1. aTP_Lamm_a=1. scratc1033366409d_frac=1. scratc386045762d_d_Pi=1. scratc1894016317nd_nis=1. scratc1894803499nd_num=1. scratc286867143_rt_is=1. scratc1864657319n_some=1. fFalse=1. scratc2128726506_nat_p=1. scratc980062346_power=1. scratc1852971185nd_imp=1. scratc1704062634d_repl=1. scratc1853036774nd_inf=1. scratc822999453_class=1. fTrue=1. scratc58392886t_less=1. scratc921529522t_more=1. scratc654511726_n_all=1. scratc109383029d_pair=1. aTP_Lamm_al=1. scratc1132878618d_Subq=1. scratc1108576184_proj0=1. scratc1487324212_union=1. scratc153018436closed=1. scratc1926537546nd_rat=1. scratc678513215nd_n_2=1. aTP_Lamm_ar=1. scratc1045910392d_n_in=1. scratc1108576185_proj1=1. aTP_Lamm_abd=1. aTP_Lamm_aq=1. scratc157446024closed=1. scratc2140196658closed=1. scratc833379267_d_1to=1. aTP_Lamm_aa=1. aTP_Lamm_aau=1. aTP_Lamm_aay=1. aTP_Lamm_aaz=1. aTP_Lamm_ak=1. aTP_Lamm_cb=1. aTP_Lamm_cd=1. aTP_Lamm_co=1. aTP_Lamm_gu=1. aTP_Lamm_gw=1. aTP_Lamm_gz=1. aTP_Lamm_lg=1. aTP_Lamm_me=1. aTP_Lamm_mg=1. aTP_Lamm_mq=1. aTP_Lamm_ms=1. aTP_Lamm_mu=1. aTP_Lamm_mw=1. aTP_Lamm_my=1. aTP_Lamm_na=1. aTP_Lamm_nc=1. aTP_Lamm_ne=1. aTP_Lamm_no=1. aTP_Lamm_nq=1. aTP_Lamm_ol=1. aTP_Lamm_st=1. aTP_Lamm_sv=1. aTP_Lamm_sx=1. aTP_Lamm_sz=1. aTP_Lamm_tb=1. aTP_Lamm_td=1. aTP_Lamm_tf=1. aTP_Lamm_th=1. aTP_Lamm_yc=1. aTP_Lamm_ye=1. aTP_Lamm_yg=1. aTP_Lamm_yi=1. aTP_Lamm_yk=1. aTP_Lamm_ym=1. aTP_Lamm_yo=1. aTP_Lamm_yq=1. aTP_Lamm_ys=1. aTP_Lamm_yu=1. aTP_Lamm_yw=1. aTP_Lamm_yy=1. scratc1567746593closed=1. scratc1646878212_prop2=1. scratc1859635413d_Inj1=1. scratc1971541598_prop2=1. scratc278231398_omega=1. aTP_Lamm_aab=1. aTP_Lamm_aad=1. aTP_Lamm_aag=1. aTP_Lamm_aaj=1. aTP_Lamm_aam=1. aTP_Lamm_aap=1. aTP_Lamm_aar=1. aTP_Lamm_aas=1. aTP_Lamm_aax=1. aTP_Lamm_as=1. aTP_Lamm_br=1. aTP_Lamm_bt=1. aTP_Lamm_bu=1. aTP_Lamm_cf=1. aTP_Lamm_ch=1. aTP_Lamm_cj=1. aTP_Lamm_cm=1. aTP_Lamm_ct=1. aTP_Lamm_cx=1. aTP_Lamm_db=1. aTP_Lamm_df=1. aTP_Lamm_dj=1. aTP_Lamm_dn=1. aTP_Lamm_dr=1. aTP_Lamm_dv=1. aTP_Lamm_dz=1. aTP_Lamm_ed=1. aTP_Lamm_eg=1. aTP_Lamm_ej=1. aTP_Lamm_em=1. aTP_Lamm_ep=1. aTP_Lamm_es=1. aTP_Lamm_ev=1. aTP_Lamm_ez=1. aTP_Lamm_fd=1. aTP_Lamm_fh=1. aTP_Lamm_fl=1. aTP_Lamm_fo=1. aTP_Lamm_fr=1. aTP_Lamm_fu=1. aTP_Lamm_fx=1. aTP_Lamm_ga=1. aTP_Lamm_gd=1. aTP_Lamm_gg=1. aTP_Lamm_gj=1. aTP_Lamm_gl=1. aTP_Lamm_gp=1. aTP_Lamm_gs=1. aTP_Lamm_hd=1. aTP_Lamm_hh=1. aTP_Lamm_hl=1. aTP_Lamm_hp=1. aTP_Lamm_ht=1. aTP_Lamm_hx=1. aTP_Lamm_ib=1. aTP_Lamm_if=1. aTP_Lamm_ij=1. aTP_Lamm_im=1. aTP_Lamm_ip=1. aTP_Lamm_is=1. aTP_Lamm_iv=1. aTP_Lamm_iy=1. aTP_Lamm_jb=1. aTP_Lamm_jf=1. aTP_Lamm_jj=1. aTP_Lamm_jn=1. aTP_Lamm_jr=1. aTP_Lamm_ju=1. aTP_Lamm_jx=1. aTP_Lamm_ka=1. aTP_Lamm_kd=1. aTP_Lamm_kg=1. aTP_Lamm_kj=1. aTP_Lamm_kl=1. aTP_Lamm_kn=1. aTP_Lamm_kq=1. aTP_Lamm_ks=1. aTP_Lamm_kw=1. aTP_Lamm_kz=1. aTP_Lamm_ld=1. aTP_Lamm_li=1. aTP_Lamm_lk=1. aTP_Lamm_ln=1. aTP_Lamm_lq=1. aTP_Lamm_lt=1. aTP_Lamm_lw=1. aTP_Lamm_lz=1. aTP_Lamm_mc=1. aTP_Lamm_mk=1. aTP_Lamm_mo=1. aTP_Lamm_ni=1. aTP_Lamm_nm=1. aTP_Lamm_ns=1. aTP_Lamm_nu=1. aTP_Lamm_nw=1. aTP_Lamm_nz=1. aTP_Lamm_oc=1. aTP_Lamm_oe=1. aTP_Lamm_og=1. aTP_Lamm_oj=1. aTP_Lamm_oq=1. aTP_Lamm_ou=1. aTP_Lamm_oy=1. aTP_Lamm_pc=1. aTP_Lamm_pg=1. aTP_Lamm_pk=1. aTP_Lamm_po=1. aTP_Lamm_ps=1. aTP_Lamm_pv=1. aTP_Lamm_py=1. aTP_Lamm_qb=1. aTP_Lamm_qe=1. aTP_Lamm_qh=1. aTP_Lamm_qk=1. aTP_Lamm_qn=1. aTP_Lamm_qr=1. aTP_Lamm_qv=1. aTP_Lamm_qz=1. aTP_Lamm_rd=1. aTP_Lamm_rg=1. aTP_Lamm_rj=1. aTP_Lamm_rm=1. aTP_Lamm_rp=1. aTP_Lamm_rs=1. aTP_Lamm_rv=1. aTP_Lamm_ry=1. aTP_Lamm_sb=1. aTP_Lamm_sd=1. aTP_Lamm_sf=1. aTP_Lamm_si=1. aTP_Lamm_sl=1. aTP_Lamm_so=1. aTP_Lamm_sr=1. aTP_Lamm_to=1. aTP_Lamm_ts=1. aTP_Lamm_tw=1. aTP_Lamm_ua=1. aTP_Lamm_ue=1. aTP_Lamm_ui=1. aTP_Lamm_um=1. aTP_Lamm_uq=1. aTP_Lamm_ut=1. aTP_Lamm_uw=1. aTP_Lamm_uz=1. aTP_Lamm_vc=1. aTP_Lamm_vf=1. aTP_Lamm_vi=1. aTP_Lamm_vl=1. aTP_Lamm_vo=1. aTP_Lamm_vr=1. aTP_Lamm_vu=1. aTP_Lamm_vy=1. aTP_Lamm_wc=1. aTP_Lamm_wg=1. aTP_Lamm_wk=1. aTP_Lamm_wn=1. aTP_Lamm_wq=1. aTP_Lamm_wt=1. aTP_Lamm_ww=1. aTP_Lamm_wz=1. aTP_Lamm_xc=1. aTP_Lamm_xg=1. aTP_Lamm_xi=1. aTP_Lamm_xl=1. aTP_Lamm_xo=1. aTP_Lamm_xr=1. aTP_Lamm_xu=1. aTP_Lamm_xx=1. aTP_Lamm_ya=1. aTP_Lamm_za=1. aTP_Lamm_zc=1. aTP_Lamm_ze=1. aTP_Lamm_zg=1. aTP_Lamm_zi=1. aTP_Lamm_zm=1. aTP_Lamm_zo=1. aTP_Lamm_zr=1. aTP_Lamm_zu=1. aTP_Lamm_zw=1. aTP_Lamm_zy=1. fconj=1. fimplies=1. scratc1034527736d_Sing=1. scratc1042236854d_n_1t=1. scratc1123692917_cond2=1. scratc1646878211_prop1=1. scratc1859635412d_Inj0=1. scratc1971541597_prop1=1. scratc386354684moreis=1. scratc770303987_n_one=1. aTP_Lamm_aac=1. aTP_Lamm_aae=1. aTP_Lamm_aaf=1. aTP_Lamm_aah=1. aTP_Lamm_aai=1. aTP_Lamm_aak=1. aTP_Lamm_aal=1. aTP_Lamm_aan=1. aTP_Lamm_aao=1. aTP_Lamm_aaq=1. aTP_Lamm_aat=1. aTP_Lamm_aav=1. aTP_Lamm_aaw=1. aTP_Lamm_aba=1. aTP_Lamm_abb=1. aTP_Lamm_abc=1. aTP_Lamm_abf=1. aTP_Lamm_acc=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_cn=1. aTP_Lamm_cp=1. aTP_Lamm_cq=1. aTP_Lamm_cu=1. aTP_Lamm_cy=1. aTP_Lamm_dc=1. aTP_Lamm_dg=1. aTP_Lamm_dk=1. aTP_Lamm_do=1. aTP_Lamm_ds=1. aTP_Lamm_dw=1. aTP_Lamm_ea=1. aTP_Lamm_ee=1. aTP_Lamm_eh=1. aTP_Lamm_ek=1. aTP_Lamm_en=1. aTP_Lamm_eq=1. aTP_Lamm_et=1. aTP_Lamm_ew=1. aTP_Lamm_fa=1. aTP_Lamm_fe=1. aTP_Lamm_fi=1. aTP_Lamm_fm=1. aTP_Lamm_fp=1. aTP_Lamm_fs=1. aTP_Lamm_fv=1. aTP_Lamm_fy=1. aTP_Lamm_gb=1. aTP_Lamm_ge=1. aTP_Lamm_gh=1. aTP_Lamm_gk=1. aTP_Lamm_gm=1. aTP_Lamm_gq=1. aTP_Lamm_gt=1. aTP_Lamm_gv=1. aTP_Lamm_gx=1. aTP_Lamm_ha=1. aTP_Lamm_he=1. aTP_Lamm_hi=1. aTP_Lamm_hm=1. aTP_Lamm_hq=1. aTP_Lamm_hu=1. aTP_Lamm_hy=1. aTP_Lamm_ic=1. aTP_Lamm_ig=1. aTP_Lamm_ik=1. aTP_Lamm_in=1. aTP_Lamm_iq=1. aTP_Lamm_it=1. aTP_Lamm_iw=1. aTP_Lamm_iz=1. aTP_Lamm_jc=1. aTP_Lamm_jg=1. aTP_Lamm_jk=1. aTP_Lamm_jo=1. aTP_Lamm_js=1. aTP_Lamm_jv=1. aTP_Lamm_jy=1. aTP_Lamm_kb=1. aTP_Lamm_ke=1. aTP_Lamm_kh=1. aTP_Lamm_kk=1. aTP_Lamm_km=1. aTP_Lamm_ko=1. aTP_Lamm_kr=1. aTP_Lamm_kt=1. aTP_Lamm_kx=1. aTP_Lamm_la=1. aTP_Lamm_le=1. aTP_Lamm_lh=1. aTP_Lamm_lj=1. aTP_Lamm_ll=1. aTP_Lamm_lo=1. aTP_Lamm_lr=1. aTP_Lamm_lu=1. aTP_Lamm_lx=1. aTP_Lamm_ma=1. aTP_Lamm_md=1. aTP_Lamm_mf=1. aTP_Lamm_mh=1. aTP_Lamm_ml=1. aTP_Lamm_mp=1. aTP_Lamm_mr=1. aTP_Lamm_mt=1. aTP_Lamm_mv=1. aTP_Lamm_mx=1. aTP_Lamm_mz=1. aTP_Lamm_nb=1. aTP_Lamm_nd=1. aTP_Lamm_nf=1. aTP_Lamm_nj=1. aTP_Lamm_nn=1. aTP_Lamm_np=1. aTP_Lamm_nr=1. aTP_Lamm_nt=1. aTP_Lamm_nv=1. aTP_Lamm_nx=1. aTP_Lamm_oa=1. aTP_Lamm_od=1. aTP_Lamm_of=1. aTP_Lamm_oh=1. aTP_Lamm_ok=1. aTP_Lamm_om=1. aTP_Lamm_on=1. aTP_Lamm_or=1. aTP_Lamm_ov=1. aTP_Lamm_oz=1. aTP_Lamm_pd=1. aTP_Lamm_ph=1. aTP_Lamm_pl=1. aTP_Lamm_pp=1. aTP_Lamm_pt=1. aTP_Lamm_pw=1. aTP_Lamm_pz=1. aTP_Lamm_qc=1. aTP_Lamm_qf=1. aTP_Lamm_qi=1. aTP_Lamm_ql=1. aTP_Lamm_qo=1. aTP_Lamm_qs=1. aTP_Lamm_qw=1. aTP_Lamm_ra=1. aTP_Lamm_re=1. aTP_Lamm_rh=1. aTP_Lamm_rk=1. aTP_Lamm_rn=1. aTP_Lamm_rq=1. aTP_Lamm_rt=1. aTP_Lamm_rw=1. aTP_Lamm_rz=1. aTP_Lamm_sc=1. aTP_Lamm_se=1. aTP_Lamm_sg=1. aTP_Lamm_sh=1. aTP_Lamm_sj=1. aTP_Lamm_sk=1. aTP_Lamm_sm=1. aTP_Lamm_sn=1. aTP_Lamm_sp=1. aTP_Lamm_sq=1. aTP_Lamm_ss=1. aTP_Lamm_su=1. aTP_Lamm_sw=1. aTP_Lamm_sy=1. aTP_Lamm_ta=1. aTP_Lamm_tc=1. aTP_Lamm_te=1. aTP_Lamm_tg=1. aTP_Lamm_ti=1. aTP_Lamm_tj=1. aTP_Lamm_tk=1. aTP_Lamm_tl=1. aTP_Lamm_tp=1. aTP_Lamm_tt=1. aTP_Lamm_tx=1. aTP_Lamm_ub=1. aTP_Lamm_uf=1. aTP_Lamm_uj=1. aTP_Lamm_un=1. aTP_Lamm_ur=1. aTP_Lamm_uu=1. aTP_Lamm_ux=1. aTP_Lamm_va=1. aTP_Lamm_vd=1. aTP_Lamm_vg=1. aTP_Lamm_vj=1. aTP_Lamm_vm=1. aTP_Lamm_vp=1. aTP_Lamm_vs=1. aTP_Lamm_vv=1. aTP_Lamm_vz=1. aTP_Lamm_wd=1. aTP_Lamm_wh=1. aTP_Lamm_wl=1. aTP_Lamm_wo=1. aTP_Lamm_wr=1. aTP_Lamm_wu=1. aTP_Lamm_wx=1. aTP_Lamm_xa=1. aTP_Lamm_xd=1. aTP_Lamm_xe=1. aTP_Lamm_xf=1. aTP_Lamm_xh=1. aTP_Lamm_xj=1. aTP_Lamm_xm=1. aTP_Lamm_xp=1. aTP_Lamm_xs=1. aTP_Lamm_xv=1. aTP_Lamm_xy=1. aTP_Lamm_yb=1. aTP_Lamm_yd=1. aTP_Lamm_yf=1. aTP_Lamm_yh=1. aTP_Lamm_yj=1. aTP_Lamm_yl=1. aTP_Lamm_yn=1. aTP_Lamm_yp=1. aTP_Lamm_yr=1. aTP_Lamm_yt=1. aTP_Lamm_yv=1. aTP_Lamm_yx=1. aTP_Lamm_yz=1. aTP_Lamm_zb=1. aTP_Lamm_zd=1. aTP_Lamm_zf=1. aTP_Lamm_zh=1. aTP_Lamm_zj=1. aTP_Lamm_zn=1. aTP_Lamm_zp=1. aTP_Lamm_zs=1. aTP_Lamm_zv=1. aTP_Lamm_zx=1. aTP_Lamm_zz=1. fequal_TPTP_ind=1. scratc1042302453d_n_2t=1. scratc1123692916_cond1=1. scratc1130399848_d_Unj=1. scratc1891917144nd_nIn=1. scratc414299640univof=1. aTP_Lamm_ab=1. aTP_Lamm_an=1. aTP_Lamm_at=1. aTP_Lamm_bv=1. aTP_Lamm_bw=1. bool=1. scratc1042236849d_n_1o=1. scratc1058516036_prop1=1. scratc1108969782_prop4=1. scratc1264481088_prop1=1. scratc1618213371nempty=1. scratc1698058936munion=1. scratc1859219762_empty=1. scratc1862097612428_id=1. scratc1971541600_prop4=1. scratc1986641531rt_nis=1. scratc201046773d_plus=1. scratc252371072lessis=1. scratc293721790_prop1=1. scratc412420124_prop1=1. scratc470153861_prop1=1. scratc676118913_prop1=1. scratc772181259_times=1. scratc877517430r1type=1. scratc949547771pair_p=1. scratc1309757425t_some=1. scratc1621347632air_u0=1. scratc1709898044d_24_g=1. scratc1872026124let_u0=1. scratc1879438756rt_all=1. scratc1995231017rt_one=1. scratc242611120d_i1_s=1. scratc28077937d_xout=1. scratc286867138_rt_in=1. scratc314394982d_1out=1. scratc469601174_428_g=1. scratc896776193_ratof=1. scratc960521644d_fixf=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. scratc1229537902_d_and=1. aa_fun1431113780TP_ind=1. aa_boo1142376798l_bool=1. aa_TPT1123896796d_bool=1. scratc146720632bnd_if=1. scratc914003055d_l_ec=1. aa_fun1212484691d_bool=1. scratc1527250031d_e_in=1. scratc1853036772nd_ind=1. aa_TPT1791839040TP_ind=1. aa_TPT985247859d_bool=1. scratc2130300003d_pair=1. aa_fun987228051d_bool=1. scratc1587274783_amone=1. scratc1852656431second=1. scratc1997734240_image=1. scratc2040376309_first=1. aa_TPT125613450d_bool=1. scratc1894409906nd_non=1. aa_fun1913827119d_bool=1. scratc1392614086d_anec=1. aa_fun1107270209d_bool=1. aa_fun845057962d_bool=1. scratc1819269175nd_ecp=1. scratc403806973_ecect=1. scratc404397364_ecelt=1. scratc628970598eplSep=1. scratc1819269179nd_ect=1. scratc1903065011nd_out=1. scratc713387177fixfu2=1. aa_TPT1781712639TP_ind=1. aa_TPT2142672771l_bool=1. aa_fun1235454963TP_ind=1. cOMBB_658106424TP_ind=1. cOMBS_2003118649l_bool=1. scratc1056015019ght1to=1. scratc1093440500wissel=1. scratc1108969838_propl=1. scratc1108969839_propm=1. scratc1110211826ectelt=1. scratc1225413703ectset=1. scratc2089092553_fixfu=1. scratc65510024etprop=1. scratc861240938eft1to=1. scratc1195975920d_invf=1. scratc1199712451d_tofs=1. scratc1331531049unmore=1. scratc491045493nverse=1. f1=1. f12=1. f13=1. f20=1. f24=1. scratc2010171869all_of=1. scratc1046369583d_n_pl=1. scratc1046631986d_n_ts=1. scratc1046369577d_n_pf=1. scratc1046631973d_n_tf=1. scratc1337003082_d_not=1. scratc1527250036d_e_is=1. scratc1120832677l_some=1. scratc1113286453_d_Sep=1. scratc262287102d_esti=1. scratc914659060d_l_or=1. scratc467031683ffprop=1. scratc1786813542nd_all=1. scratc1902605803nd_one=1. aTP_Lamm_aj=1. scratc1269222693_rec_G=1. scratc1642231163d_outn=1. aTP_Lamm_abm=1. aTP_Lamm_mi=1. aTP_Lamm_mm=1. aTP_Lamm_ng=1. aTP_Lamm_nk=1. scratc1727780268_367_w=1. aTP_Lamm_abe=1. aTP_Lamm_aca=1. aTP_Lamm_ao=1. aTP_Lamm_av=1. aTP_Lamm_bf=1. aTP_Lamm_bn=1. aTP_Lamm_ca=1. aTP_Lamm_cl=1. aTP_Lamm_cv=1. aTP_Lamm_cz=1. aTP_Lamm_dd=1. aTP_Lamm_dh=1. aTP_Lamm_dl=1. aTP_Lamm_dp=1. aTP_Lamm_dt=1. aTP_Lamm_dx=1. aTP_Lamm_eb=1. aTP_Lamm_ex=1. aTP_Lamm_fb=1. aTP_Lamm_ff=1. aTP_Lamm_fj=1. aTP_Lamm_gn=1. aTP_Lamm_gr=1. aTP_Lamm_hb=1. aTP_Lamm_hf=1. aTP_Lamm_hj=1. aTP_Lamm_hn=1. aTP_Lamm_hr=1. aTP_Lamm_hv=1. aTP_Lamm_hz=1. aTP_Lamm_id=1. aTP_Lamm_ih=1. aTP_Lamm_jd=1. aTP_Lamm_jh=1. aTP_Lamm_jl=1. aTP_Lamm_jp=1. aTP_Lamm_lb=1. aTP_Lamm_lm=1. aTP_Lamm_lp=1. aTP_Lamm_ls=1. aTP_Lamm_lv=1. aTP_Lamm_ly=1. aTP_Lamm_mb=1. aTP_Lamm_oi=1. aTP_Lamm_oo=1. aTP_Lamm_os=1. aTP_Lamm_ow=1. aTP_Lamm_pa=1. aTP_Lamm_pe=1. aTP_Lamm_pi=1. aTP_Lamm_pm=1. aTP_Lamm_pq=1. aTP_Lamm_qp=1. aTP_Lamm_qt=1. aTP_Lamm_qx=1. aTP_Lamm_rb=1. aTP_Lamm_tm=1. aTP_Lamm_tq=1. aTP_Lamm_tu=1. aTP_Lamm_ty=1. aTP_Lamm_uc=1. aTP_Lamm_ug=1. aTP_Lamm_uk=1. aTP_Lamm_uo=1. aTP_Lamm_vw=1. aTP_Lamm_wa=1. aTP_Lamm_we=1. aTP_Lamm_wi=1. aTP_Lamm_xk=1. aTP_Lamm_xn=1. aTP_Lamm_xq=1. aTP_Lamm_xt=1. aTP_Lamm_xw=1. aTP_Lamm_xz=1. aTP_Lamm_zk=1. scratc1194729545d_incl=1. aTP_Lamm_abw=1. aTP_Lamm_aby=1. aTP_Lamm_az=1. aTP_Lamm_bj=1. aTP_Lamm_bm=1. aTP_Lamm_bq=1. aTP_Lamm_ef=1. aTP_Lamm_ei=1. aTP_Lamm_el=1. aTP_Lamm_eo=1. aTP_Lamm_er=1. aTP_Lamm_eu=1. aTP_Lamm_fn=1. aTP_Lamm_fq=1. aTP_Lamm_ft=1. aTP_Lamm_fw=1. aTP_Lamm_fz=1. aTP_Lamm_gc=1. aTP_Lamm_il=1. aTP_Lamm_io=1. aTP_Lamm_ir=1. aTP_Lamm_iu=1. aTP_Lamm_ix=1. aTP_Lamm_ja=1. aTP_Lamm_jt=1. aTP_Lamm_jw=1. aTP_Lamm_jz=1. aTP_Lamm_kc=1. aTP_Lamm_kf=1. aTP_Lamm_ki=1. aTP_Lamm_pu=1. aTP_Lamm_px=1. aTP_Lamm_qa=1. aTP_Lamm_qd=1. aTP_Lamm_qg=1. aTP_Lamm_qj=1. aTP_Lamm_qm=1. aTP_Lamm_rf=1. aTP_Lamm_ri=1. aTP_Lamm_rl=1. aTP_Lamm_ro=1. aTP_Lamm_rr=1. aTP_Lamm_ru=1. aTP_Lamm_us=1. aTP_Lamm_uv=1. aTP_Lamm_uy=1. aTP_Lamm_vb=1. aTP_Lamm_ve=1. aTP_Lamm_vh=1. aTP_Lamm_vk=1. aTP_Lamm_vn=1. aTP_Lamm_vq=1. aTP_Lamm_vt=1. aTP_Lamm_wm=1. aTP_Lamm_wp=1. aTP_Lamm_ws=1. aTP_Lamm_wv=1. aTP_Lamm_wy=1. aTP_Lamm_xb=1. aTP_Lamm_zq=1. aTP_Lamm_zt=1. scratc1820121965nd_eps=1. scratc1853036782nd_inn=1. scratc683230476ective=1. scratc726720894etprod=1. aTP_Lamm_aaa=1. aTP_Lamm_abg=1. aTP_Lamm_abh=1. aTP_Lamm_abi=1. aTP_Lamm_abk=1. aTP_Lamm_abq=1. aTP_Lamm_abs=1. aTP_Lamm_abt=1. aTP_Lamm_abx=1. aTP_Lamm_ac=1. aTP_Lamm_ad=1. aTP_Lamm_ae=1. aTP_Lamm_af=1. aTP_Lamm_aw=1. aTP_Lamm_ax=1. aTP_Lamm_ay=1. aTP_Lamm_ba=1. aTP_Lamm_bb=1. aTP_Lamm_bd=1. aTP_Lamm_be=1. aTP_Lamm_bk=1. aTP_Lamm_bl=1. aTP_Lamm_bo=1. aTP_Lamm_cs=1. aTP_Lamm_cw=1. aTP_Lamm_da=1. aTP_Lamm_de=1. aTP_Lamm_di=1. aTP_Lamm_dm=1. aTP_Lamm_dq=1. aTP_Lamm_du=1. aTP_Lamm_dy=1. aTP_Lamm_ec=1. aTP_Lamm_ey=1. aTP_Lamm_fc=1. aTP_Lamm_fg=1. aTP_Lamm_fk=1. aTP_Lamm_gf=1. aTP_Lamm_gi=1. aTP_Lamm_go=1. aTP_Lamm_gy=1. aTP_Lamm_hc=1. aTP_Lamm_hg=1. aTP_Lamm_hk=1. aTP_Lamm_ho=1. aTP_Lamm_hs=1. aTP_Lamm_hw=1. aTP_Lamm_ia=1. aTP_Lamm_ie=1. aTP_Lamm_ii=1. aTP_Lamm_je=1. aTP_Lamm_ji=1. aTP_Lamm_jm=1. aTP_Lamm_jq=1. aTP_Lamm_kp=1. aTP_Lamm_kv=1. aTP_Lamm_ky=1. aTP_Lamm_lc=1. aTP_Lamm_lf=1. aTP_Lamm_mj=1. aTP_Lamm_mn=1. aTP_Lamm_nh=1. aTP_Lamm_nl=1. aTP_Lamm_ny=1. aTP_Lamm_ob=1. aTP_Lamm_op=1. aTP_Lamm_ot=1. aTP_Lamm_ox=1. aTP_Lamm_pb=1. aTP_Lamm_pf=1. aTP_Lamm_pj=1. aTP_Lamm_pn=1. aTP_Lamm_pr=1. aTP_Lamm_qq=1. aTP_Lamm_qu=1. aTP_Lamm_qy=1. aTP_Lamm_rc=1. aTP_Lamm_rx=1. aTP_Lamm_sa=1. aTP_Lamm_tn=1. aTP_Lamm_tr=1. aTP_Lamm_tv=1. aTP_Lamm_tz=1. aTP_Lamm_ud=1. aTP_Lamm_uh=1. aTP_Lamm_ul=1. aTP_Lamm_up=1. aTP_Lamm_vx=1. aTP_Lamm_wb=1. aTP_Lamm_wf=1. aTP_Lamm_wj=1. aTP_Lamm_zl=1. fEx_TPTP_ind=1. scratc1046107177d_n_lb=1. scratc1707429364lbprop=1. scratc1748738967ective=1. scratc1885754807nd_min=1. scratc544432387nunion=1. aTP_Lamm_abj=1. aTP_Lamm_abl=1. aTP_Lamm_abn=1. aTP_Lamm_abo=1. aTP_Lamm_abp=1. aTP_Lamm_abr=1. aTP_Lamm_abu=1. aTP_Lamm_abv=1. aTP_Lamm_abz=1. aTP_Lamm_acb=1. aTP_Lamm_bc=1. scratc1191242950_UPair=1. scratc2014609602econd1=1. scratc356734178In_rec=1. scratc432165244first1=1. scratc674451452_pair1=1. aTP_Lamm_ag=1. aTP_Lamm_ah=1. aTP_Lamm_ai=1. aTP_Lamm_am=1. aTP_Lamm_ap=1. aTP_Lamm_bg=1. aTP_Lamm_bh=1. aTP_Lamm_bi=1. aTP_Lamm_bp=1. aTP_Lamm_bs=1. aTP_Lamm_by=1. aTP_Lamm_bz=1. cOMBC_1555011498d_bool=1. scratc1108969781_prop3=1. scratc1394685989_prop1=1. scratc1852843263_prop1=1. scratc460717929tminus=1. scratc765760900367_vo=1. scratc806323814_prop1=1. scratc866949706ective=1. scratc877554424t_disj=1. scratc87756738_prop1=1. undefined_bool=1. scratc1046172788d_n_mn=1. scratc1091868139_477_v=1. scratc1621085236air_q0=1. undefined_TPTP_ind=1. f2=1. f8=1. f9=1. f10=1. f11=1. f17=1. f18=1. f21=1. f22=1. f23=1. scratc1902868149nd_or3=1. scratc1819269114nd_ec3=1. scratc1853430367nd_ite=1. scratc419125253d_soft=1. scratc1108969779_prop1=1. scratc1314850754d_left=1. scratc655491120_indeq=1. scratc1917671117eft_f1=1. scratc376055808d_11_i=1. scratc4879710sel_wa=1. scratc4879711sel_wb=1. scratc1917671118eft_f2=1. scratc591164097_right=1. scratc603247073indrat=1. f5=1. f7=1. f14Cputime limit exceeded (core dumped)
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