TSTP Solution File: NUM721+4 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : NUM721+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 13:31:11 EDT 2022
% Result : Timeout 300.10s 300.35s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM721+4 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 5 08:06:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.15/1.50 ============================== Prover9 ===============================
% 1.15/1.50 Prover9 (32) version 2009-11A, November 2009.
% 1.15/1.50 Process 25432 was started by sandbox2 on n008.cluster.edu,
% 1.15/1.50 Tue Jul 5 08:06:54 2022
% 1.15/1.50 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_25279_n008.cluster.edu".
% 1.15/1.50 ============================== end of head ===========================
% 1.15/1.50
% 1.15/1.50 ============================== INPUT =================================
% 1.15/1.50
% 1.15/1.50 % Reading from file /tmp/Prover9_25279_n008.cluster.edu
% 1.15/1.50
% 1.15/1.50 set(prolog_style_variables).
% 1.15/1.50 set(auto2).
% 1.15/1.50 % set(auto2) -> set(auto).
% 1.15/1.50 % set(auto) -> set(auto_inference).
% 1.15/1.50 % set(auto) -> set(auto_setup).
% 1.15/1.50 % set(auto_setup) -> set(predicate_elim).
% 1.15/1.50 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.15/1.50 % set(auto) -> set(auto_limits).
% 1.15/1.50 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.15/1.50 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.15/1.50 % set(auto) -> set(auto_denials).
% 1.15/1.50 % set(auto) -> set(auto_process).
% 1.15/1.50 % set(auto2) -> assign(new_constants, 1).
% 1.15/1.50 % set(auto2) -> assign(fold_denial_max, 3).
% 1.15/1.50 % set(auto2) -> assign(max_weight, "200.000").
% 1.15/1.50 % set(auto2) -> assign(max_hours, 1).
% 1.15/1.50 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.15/1.50 % set(auto2) -> assign(max_seconds, 0).
% 1.15/1.50 % set(auto2) -> assign(max_minutes, 5).
% 1.15/1.50 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.15/1.50 % set(auto2) -> set(sort_initial_sos).
% 1.15/1.50 % set(auto2) -> assign(sos_limit, -1).
% 1.15/1.50 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.15/1.50 % set(auto2) -> assign(max_megs, 400).
% 1.15/1.50 % set(auto2) -> assign(stats, some).
% 1.15/1.50 % set(auto2) -> clear(echo_input).
% 1.15/1.50 % set(auto2) -> set(quiet).
% 1.15/1.50 % set(auto2) -> clear(print_initial_clauses).
% 1.15/1.50 % set(auto2) -> clear(print_given).
% 1.15/1.50 assign(lrs_ticks,-1).
% 1.15/1.50 assign(sos_limit,10000).
% 1.15/1.50 assign(order,kbo).
% 1.15/1.50 set(lex_order_vars).
% 1.15/1.50 clear(print_given).
% 1.15/1.50
% 1.15/1.50 % formulas(sos). % not echoed (736 formulas)
% 1.15/1.50
% 1.15/1.50 ============================== end of input ==========================
% 1.15/1.50
% 1.15/1.50 % From the command line: assign(max_seconds, 300).
% 1.15/1.50
% 1.15/1.50 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.15/1.50
% 1.15/1.50 % Formulas that are not ordinary clauses:
% 1.15/1.50 1 (all B_1 all B_2 gg_bool(scratc1665417906_amone(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__54245__29067_ONUM721__thf__4__p_Obnd__amone) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 2 (all B_1 all B_2 gg_bool(scratc1296795803_d_and(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__54245__29067_ONUM721__thf__4__p_Obnd__d__and) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 3 (all B_1 gg_bool(scratc1404260983_d_not(B_1))) # label(gsy_c_Scratch__tptp__translate__54245__29067_ONUM721__thf__4__p_Obnd__d__not) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 4 (all B_1 all B_2 all B_3 gg_bool(scratc2027491341nd_ec3(B_1,B_2,B_3))) # label(gsy_c_Scratch__tptp__translate__54245__29067_ONUM721__thf__4__p_Obnd__ec3) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 5 (all B_1 all B_2 gg_TPTP_ind(scratc2027491406nd_ect(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__54245__29067_ONUM721__thf__4__p_Obnd__ect) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 6 (all B_1 gg_TPTP_ind(scratc2028344192nd_eps(B_1))) # label(gsy_c_Scratch__tptp__translate__54245__29067_ONUM721__thf__4__p_Obnd__eps) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 7 (all B_1 all B_2 gg_TPTP_ind(scratc2061258999nd_ind(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__54245__29067_ONUM721__thf__4__p_Obnd__ind) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 8 (all B_1 all B_2 gg_bool(scratc992146178d_l_ec(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__54245__29067_ONUM721__thf__4__p_Obnd__l__ec) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 9 (all B_1 all B_2 all B_3 gg_bool(scratc2111090376nd_or3(B_1,B_2,B_3))) # label(gsy_c_Scratch__tptp__translate__54245__29067_ONUM721__thf__4__p_Obnd__or3) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 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].
% 1.15/1.50 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].
% 1.15/1.50 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].
% 1.15/1.50 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].
% 1.15/1.50 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].
% 1.15/1.50 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].
% 1.15/1.50 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].
% 1.15/1.50 17 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc861253816_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(X),Xa)),Xb)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(X),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Xa),Xb)))))) # label(fact_def__d__431__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 18 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272891641_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(X),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Xa),Xb))),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(X),Xb)))))) # label(fact_def__d__430__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 19 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2026471599_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Xa),X))))) # label(fact_def__d__429__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 20 (all X scratc1124775109d_n_ts(X) = aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,aa_TPTP_ind_TPTP_ind(scratc850324382_times,X))) # label(fact_def__n__ts) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 21 (all X aa_TPTP_ind_TPTP_ind(scratc850324382_times,X) = scratc2061258999nd_ind(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc464188885d_d_Pi,scratc2101713753nd_nat),aTP_Lamm_ae),aa_TPT43085870d_bool(scratc1438109425_prop2,X))) # label(fact_def__times) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 22 (all X aa_TPTP_ind_TPTP_ind(scratc1145206569_428_g,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2125655817_Sigma,scratc2101713753nd_nat),aTP_Lamm_af(X))) # label(fact_def__d__428__g) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 23 (all X (pp(aa_TPTP_ind_bool(scratc1438109427_prop4,X)) <-> pp(aa_fun171081125l_bool(scratc92983736l_some(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc464188885d_d_Pi,scratc2101713753nd_nat),aTP_Lamm_ae)),aa_TPT43085870d_bool(scratc1438109425_prop2,X))))) # label(fact_def__d__428__prop4) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 24 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1438109425_prop2,X),Xa)) <-> pp(scratc1296795803_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,Xa),scratc1852380907nd_n_1)),X),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1438109424_prop1,X),Xa))))) # label(fact_def__d__428__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 25 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1438109424_prop1,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc721769627_n_all,aa_TPT43085870d_bool(aTP_Lamm_ah(X),Xa))))) # label(fact_def__d__428__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 26 (all X all Xa (pp(aa_TPTP_ind_bool(scratc2093977034nd_min(X),Xa)) <-> pp(scratc1296795803_d_and(aa_TPTP_ind_bool(scratc1124250300d_n_lb(X),Xa),aa_TPTP_ind_bool(X,Xa))))) # label(fact_def__min) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 27 (all X all Xa (pp(aa_TPTP_ind_bool(scratc1124250300d_n_lb(X),Xa)) <-> pp(aa_fun171081125l_bool(scratc721769627_n_all,aa_TPT43085870d_bool(scratc1774687265lbprop(X),Xa))))) # label(fact_def__n__lb) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 28 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1774687265lbprop(X),Xa),Xb)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc2061193412nd_imp,aa_TPTP_ind_bool(X,Xb)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,Xa),Xb))))) # label(fact_def__lbprop) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 29 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,X),Xa)) <-> pp(aa_bool_bool(scratc992802183d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,X),Xa))))) # label(fact_def__lessis) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 30 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,X),Xa)) <-> pp(aa_bool_bool(scratc992802183d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,X),Xa))))) # label(fact_def__moreis) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 31 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1430718827_prop1,X),Xa)) <-> pp(scratc2111090376nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,X),Xa),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,X),Xa),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,X),Xa))))) # label(fact_def__d__29__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 32 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc836808378n_some,aa_TPT43085870d_bool(scratc1295930928ffprop(Xa),X))))) # label(fact_def__iii) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 33 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc836808378n_some,aa_TPT43085870d_bool(scratc1295930928ffprop(X),Xa))))) # label(fact_def__d__29__ii) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 34 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1295930928ffprop(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,X),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Xa),Xb))))) # label(fact_def__diffprop) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 35 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc842356652_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2102238544nd_nis,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(X),Xb))))) # label(fact_def__d__28__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 36 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc253994477_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2102238544nd_nis,Xa),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(X),Xa))))) # label(fact_def__d__27__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 37 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1813115950_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Xa),X))))) # label(fact_def__d__26__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 38 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1224753775_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(X),Xa)),Xb)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(X),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Xa),Xb)))))) # label(fact_def__d__25__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 39 (all X scratc1124512706d_n_pl(X) = aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1374914466d_plus,X))) # label(fact_def__n__pl) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 40 (all X aa_TPTP_ind_TPTP_ind(scratc1374914466d_plus,X) = scratc2061258999nd_ind(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc464188885d_d_Pi,scratc2101713753nd_nat),aTP_Lamm_ae),aa_TPT43085870d_bool(scratc636391601_prop2,X))) # label(fact_def__plus) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 41 (all X aa_TPTP_ind_TPTP_ind(scratc391313641d_24_g,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2125655817_Sigma,scratc2101713753nd_nat),aTP_Lamm_ai(X))) # label(fact_def__d__24__g) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 42 (all X (pp(aa_TPTP_ind_bool(scratc1187112905_prop4,X)) <-> pp(aa_fun171081125l_bool(scratc92983736l_some(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc464188885d_d_Pi,scratc2101713753nd_nat),aTP_Lamm_ae)),aa_TPT43085870d_bool(scratc636391601_prop2,X))))) # label(fact_def__prop4) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 43 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1187112904_prop3(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,X),Xb)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,Xa),Xb))))) # label(fact_def__prop3) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 44 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc636391601_prop2,X),Xa)) <-> pp(scratc1296795803_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,Xa),scratc1852380907nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,X)),aa_TPTP_ind_bool(scratc636391600_prop1,Xa))))) # label(fact_def__d__24__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 45 (all X (pp(aa_TPTP_ind_bool(scratc636391600_prop1,X)) <-> pp(aa_fun171081125l_bool(scratc721769627_n_all,aa_TPT43085870d_bool(aTP_Lamm_aj,X))))) # label(fact_def__d__24__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 46 (all X (pp(aa_TPTP_ind_bool(scratc48029425_prop1,X)) <-> pp(aa_bool_bool(scratc992802183d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,X),scratc1852380907nd_n_1)),aa_fun171081125l_bool(scratc836808378n_some,aa_TPT43085870d_bool(aTP_Lamm_ak,X)))))) # label(fact_def__d__23__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 47 (all X (pp(aa_TPTP_ind_bool(scratc1607150898_prop1,X)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2102238544nd_nis,aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,X)),X)))) # label(fact_def__d__22__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 48 (all X (pp(aa_TPTP_ind_bool(scratc1201836040_cond2,X)) <-> pp(aa_fun171081125l_bool(scratc721769627_n_all,aa_TPT43085870d_bool(aTP_Lamm_al,X))))) # label(fact_def__cond2) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 49 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2102238544nd_nis,X),Xa)) <-> pp(scratc1404260983_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,X),Xa))))) # label(fact_def__nis) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 50 (all X all Xa all Xb all Xc all Xd scratc564154927indeq2(X,Xa,Xb,Xc,Xd) = aa_TPT1424761345TP_ind(scratc733634243_indeq(X,Xa,Xb),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1204955053d_11_i(X,Xa,Xb),Xc),Xd))) # label(fact_def__indeq2) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 51 (all X all Xa all Xb scratc1204955053d_11_i(X,Xa,Xb) = scratc733634243_indeq(X,Xa,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc464188885d_d_Pi,X),aTP_Lamm_an(Xb)))) # label(fact_def__d__11__i) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 52 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc780645078fixfu2(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ao,X)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_fun987228051d_bool(aTP_Lamm_as(X),Xa),Xb),Xc))))) # label(fact_def__fixfu2) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 53 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc733634243_indeq(X,Xa,Xb),Xc),Xd) = scratc2061258999nd_ind(Xb,aa_TPT43085870d_bool(scratc1187112903_prop2(X,Xa,Xb,Xc),Xd))) # label(fact_def__indeq) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 54 (all X all Xa all Xb all Xc all Xd all Xe (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1187112903_prop2(X,Xa,Xb,Xc),Xd),Xe)) <-> pp(aa_fun171081125l_bool(scratc92983736l_some(X),aa_TPT43085870d_bool(scratc1183714227_prop1(X,Xa,Xb,Xc,Xd),Xe))))) # label(fact_def__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 55 (all X all Xa all Xb all Xc all Xd all Xe all Xf (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183714227_prop1(X,Xa,Xb,Xc,Xd),Xe),Xf)) <-> pp(scratc1296795803_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1436154795d_esti(X),Xf),aa_TPTP_ind_TPTP_ind(scratc481950096_ecect(X,Xa),Xd)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1605393159d_e_is(Xb),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,Xc),Xf)),Xe))))) # label(fact_def__d__10__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 56 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc19752028_fixfu(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ao,X)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_fun987228051d_bool(aTP_Lamm_au(X),Xa),Xb),Xc))))) # label(fact_def__fixfu) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 57 (all X all Xa scratc481950096_ecect(X,Xa) = scratc1605393154d_e_in(aa_TPTP_ind_TPTP_ind(scratc1058205469_power,X),scratc418998131d_anec(X,Xa))) # label(fact_def__ecect) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 58 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1177469727ectelt(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc1292671604ectset(X,Xa),aa_TPTP_ind_TPTP_ind(scratc482540487_ecelt(X,Xa),Xb))) # label(fact_def__ectelt) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 59 (all X all Xa scratc1292671604ectset(X,Xa) = scratc2111287238nd_out(aa_TPTP_ind_TPTP_ind(scratc1058205469_power,X),scratc418998131d_anec(X,Xa))) # label(fact_def__ectset) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 60 (all X all Xa scratc2027491406nd_ect(X,Xa) = aa_fun1431113780TP_ind(scratc1180544354_d_Sep(aa_TPTP_ind_TPTP_ind(scratc1058205469_power,X)),scratc418998131d_anec(X,Xa))) # label(fact_def__ect) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 61 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(scratc418998131d_anec(X,Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc92983736l_some(X),aa_TPT43085870d_bool(scratc2027491402nd_ecp(X,Xa),Xb))))) # label(fact_def__anec) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 62 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2027491402nd_ecp(X,Xa),Xb),Xc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1605393159d_e_is(aa_TPTP_ind_TPTP_ind(scratc1058205469_power,X)),Xb),aa_TPTP_ind_TPTP_ind(scratc482540487_ecelt(X,Xa),Xc))))) # label(fact_def__ecp) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 63 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc482540487_ecelt(X,Xa),Xb) = aa_fun1431113780TP_ind(scratc1180544354_d_Sep(X),aa_TPT43085870d_bool(Xa,Xb))) # label(fact_def__ecelt) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 64 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1398788950unmore(X,Xa),Xb) = aa_fun1431113780TP_ind(scratc1180544354_d_Sep(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aw(X),Xa),Xb))) # label(fact_def__unmore) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 65 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1483772853etprop(X,Xa),Xb),Xc)) <-> pp(scratc1296795803_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1436154795d_esti(X),Xc),Xa),scratc1404260983_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1436154795d_esti(X),Xc),Xb)))))) # label(fact_def__nissetprop) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 66 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1706453669t_disj(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1995035769nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ax(X),Xa),Xb))))) # label(fact_def__st__disj) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 67 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221113590d_incl(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1995035769nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ay(X),Xa),Xb))))) # label(fact_def__incl) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 68 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc299628968nempty,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc92983736l_some(X),aa_TPT43085870d_bool(aTP_Lamm_az(X),Xa))))) # label(fact_def__nonempty) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 69 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1937362885_empty,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ao,X)),scratc2102632133nd_non(X,aa_TPT43085870d_bool(aTP_Lamm_az(X),Xa)))))) # label(fact_def__empty) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 70 (all X scratc1436154795d_esti(X) = scratc1235704493bnd_in) # label(fact_def__esti) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 71 (all X all Xa (scratc1387080968d_r_ec(X,Xa) <-> (pp(X) -> pp(scratc1404260983_d_not(Xa))))) # label(fact_def__r__ec) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 72 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(scratc1624639150hangef(X,Xa,Xb,Xc),Xd) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2125655817_Sigma,X),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aa_TPT1781712639TP_ind(aTP_Lamm_ba(X),Xb),Xc),Xd))) # label(fact_def__changef) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 73 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1160698401wissel(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2125655817_Sigma,X),scratc1423142540sel_wb(X,Xa,Xb))) # label(fact_def__wissel) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 74 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1423142540sel_wb(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc2061652594nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1605393159d_e_is(X),Xc),Xb),X,Xa),aa_TPTP_ind_TPTP_ind(scratc1423142539sel_wa(X,Xa,Xb),Xc))) # label(fact_def__wissel__wb) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 75 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1423142539sel_wa(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc2061652594nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1605393159d_e_is(X),Xc),Xa),X,Xb),Xc)) # label(fact_def__wissel__wa) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 76 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc2061652594nd_ite(X,Xa,Xb),Xc) = scratc2061258999nd_ind(Xa,aa_TPT43085870d_bool(scratc1187112902_prop1(X,Xa,Xb),Xc))) # label(fact_def__ite) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 77 (all X all Xa all Xb all Xc all Xd (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1187112902_prop1(X,Xa,Xb),Xc),Xd)) <-> pp(scratc1296795803_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc2061193412nd_imp,X),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1605393159d_e_is(Xa),Xd),Xb)),aa_bool_bool(aa_boo1142376798l_bool(scratc2061193412nd_imp,scratc1404260983_d_not(X)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1605393159d_e_is(Xa),Xd),Xc)))))) # label(fact_def__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 78 (all X all Xa scratc1919914332second(X,Xa) = scratc1186719308_proj1) # label(fact_def__second) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 79 (all X all Xa scratc2118519432_first(X,Xa) = scratc1186719307_proj0) # label(fact_def__first) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 80 (all X all Xa scratc1102451062d_pair(X,Xa) = scratc1283250722d_pair) # label(fact_def__d__pair) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 81 (all X all Xa scratc2111287238nd_out(X,Xa) = scratc1592992946d_soft(aa_fun1431113780TP_ind(scratc1180544354_d_Sep(X),Xa),X,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2125655817_Sigma,aa_fun1431113780TP_ind(scratc1180544354_d_Sep(X),Xa)),scratc1605393154d_e_in(X,Xa)))) # label(fact_def__out) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 82 (all X all Xa all Xb (gg_TPTP_ind(Xb) -> aa_TPTP_ind_TPTP_ind(scratc1605393154d_e_in(X,Xa),Xb) = Xb)) # label(fact_def__e__in) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 83 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(scratc901961067_inj_h(X,Xa,Xb,Xc),Xd) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2125655817_Sigma,X),aa_TPT1424761345TP_ind(aTP_Lamm_bb(Xc),Xd))) # label(fact_def__inj__h) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 84 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc222359965d_invf(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2125655817_Sigma,Xa),scratc1592992946d_soft(X,Xa,Xb))) # label(fact_def__invf) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 85 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1542555101ective(X),Xa),Xb)) <-> pp(scratc1296795803_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1358835871ective(X),Xa),Xb),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1019518148ective(X),Xa),Xb))))) # label(fact_def__bijective) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 86 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1019518148ective(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1995035769nd_all(Xa),aa_TPT43085870d_bool(scratc2075877363_image(X,Xa),Xb))))) # label(fact_def__surjective) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 87 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1610680200nverse(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2125655817_Sigma,Xa),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_bc(X),Xa),Xb))) # label(fact_def__inverse) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 88 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1592992946d_soft(X,Xa,Xb),Xc) = scratc2061258999nd_ind(X,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bd(Xa),Xb),Xc))) # label(fact_def__soft) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 89 (all X all Xa scratc226096496d_tofs(X,Xa) = scratc1235179703bnd_ap) # label(fact_def__tofs) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 90 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2075877363_image(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc92983736l_some(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bd(Xa),Xb),Xc))))) # label(fact_def__image) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 91 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1358835871ective(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1995035769nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bf(X),Xa),Xb))))) # label(fact_def__injective) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 92 (all X all Xa scratc2061258999nd_ind(X,Xa) = scratc2028344192nd_eps(aa_fun1584354236d_bool(aTP_Lamm_bg(X),Xa))) # label(fact_def__ind) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 93 (all X all Xa (pp(aa_fun171081125l_bool(scratc2110828030nd_one(X),Xa)) <-> pp(scratc1296795803_d_and(scratc1665417906_amone(X,Xa),aa_fun171081125l_bool(scratc92983736l_some(X),Xa))))) # label(fact_def__one) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 94 (all X all Xa (pp(scratc1665417906_amone(X,Xa)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ao,X)),aa_fun1584354236d_bool(aTP_Lamm_bi(X),Xa))))) # label(fact_def__amone) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 95 (all X scratc1605393159d_e_is(X) = fequal_TPTP_ind) # label(fact_def__e__is) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 96 (all X all Xa all Xb (scratc2111564426_orec3(X,Xa,Xb) <-> pp(scratc1296795803_d_and(scratc2111090376nd_or3(X,Xa,Xb),scratc2027491341nd_ec3(X,Xa,Xb))))) # label(fact_def__orec3) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 97 (all X all Xa all Xb (pp(scratc2027491341nd_ec3(X,Xa,Xb)) <-> scratc418932484d_and3(scratc992146178d_l_ec(X,Xa),scratc992146178d_l_ec(Xa,Xb),scratc992146178d_l_ec(Xb,X)))) # label(fact_def__ec3) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 98 (all X all Xa all Xb (scratc418932484d_and3(X,Xa,Xb) <-> pp(scratc1296795803_d_and(X,scratc1296795803_d_and(Xa,Xb))))) # label(fact_def__and3) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 99 (all X all Xa all Xb (pp(scratc2111090376nd_or3(X,Xa,Xb)) <-> pp(aa_bool_bool(scratc992802183d_l_or(X),aa_bool_bool(scratc992802183d_l_or(Xa),Xb))))) # label(fact_def__or3) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 100 (all X all Xa (pp(aa_fun171081125l_bool(scratc92983736l_some(X),Xa)) <-> pp(scratc1404260983_d_not(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ao,X)),scratc2102632133nd_non(X,Xa)))))) # label(fact_def__l__some) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 101 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(scratc2102632133nd_non(X,Xa),Xb)) <-> pp(scratc1404260983_d_not(aa_TPTP_ind_bool(Xa,Xb))))) # label(fact_def__non) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 102 (all X scratc1995035769nd_all(X) = scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ao,X))) # label(fact_def__all) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 103 (all X all Xa (scratc43453605_l_iff(X,Xa) <-> pp(scratc1296795803_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc2061193412nd_imp,X),Xa),aa_bool_bool(aa_boo1142376798l_bool(scratc2061193412nd_imp,Xa),X))))) # label(fact_def__l__iff) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 104 (all X all Xa (scratc642846697d_orec(X,Xa) <-> pp(scratc1296795803_d_and(aa_bool_bool(scratc992802183d_l_or(X),Xa),scratc992146178d_l_ec(X,Xa))))) # label(fact_def__orec) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 105 (all X scratc992802183d_l_or(X) = aa_boo1142376798l_bool(scratc2061193412nd_imp,scratc1404260983_d_not(X))) # label(fact_def__l__or) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 106 (all X all Xa (pp(scratc1296795803_d_and(X,Xa)) <-> pp(scratc1404260983_d_not(scratc992146178d_l_ec(X,Xa))))) # label(fact_def__d__and) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 107 (all X all Xa (pp(scratc992146178d_l_ec(X,Xa)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc2061193412nd_imp,X),scratc1404260983_d_not(Xa))))) # label(fact_def__l__ec) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 108 scratc328279199bvious <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc2061193412nd_imp,fFalse),fFalse)) # label(fact_def__obvious) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 109 (all X (scratc28846038nd_wel(X) <-> pp(scratc1404260983_d_not(scratc1404260983_d_not(X))))) # label(fact_def__wel) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 110 (all X (pp(scratc1404260983_d_not(X)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc2061193412nd_imp,X),fFalse)))) # label(fact_def__d__not) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 111 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc464188885d_d_Pi,X),Xa) = aa_fun1431113780TP_ind(scratc1180544354_d_Sep(aa_TPTP_ind_TPTP_ind(scratc1058205469_power,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2125655817_Sigma,X),aTP_Lamm_bj(Xa)))),aa_fun1913827119d_bool(aTP_Lamm_bk(X),Xa))) # label(fact_def__d__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.50 112 (all X (gg_TPTP_ind(X) -> (pp(aa_TPTP_ind_bool(scratc2069182478pair_p,X)) <-> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1283250722d_pair,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,X),scratc14033981ptyset)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,X),aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,scratc14033981ptyset))) = X))) # label(fact_def__pair__p) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 113 (all X all Xa aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,X),Xa) = aa_fun277296641TP_ind(scratc2047233427eplSep(X,aa_TPT43085870d_bool(aTP_Lamm_bl,Xa)),scratc1186719308_proj1)) # label(fact_def__ap) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 114 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1846355601etprod(X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2125655817_Sigma,X),aTP_Lamm_an(Xa))) # label(fact_def__setprod) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 115 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2125655817_Sigma,X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc379474533munion,X),aTP_Lamm_bm(Xa))) # label(fact_def__d__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 116 (all X aa_TPTP_ind_TPTP_ind(scratc1186719308_proj1,X) = aa_fun277296641TP_ind(scratc2047233427eplSep(X,aTP_Lamm_bn),scratc1197657749_d_Unj)) # label(fact_def__proj1) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 117 (all X aa_TPTP_ind_TPTP_ind(scratc1186719307_proj0,X) = aa_fun277296641TP_ind(scratc2047233427eplSep(X,aTP_Lamm_bo),scratc1197657749_d_Unj)) # label(fact_def__proj0) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 118 (all X all Xa aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1283250722d_pair,X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1373331632nunion(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc730446679d_repl,X),scratc831786471d_Inj0)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc730446679d_repl,Xa),scratc831786472d_Inj1))) # label(fact_def__pair) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 119 (all X aa_TPTP_ind_TPTP_ind(scratc831786471d_Inj0,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc730446679d_repl,X),scratc831786472d_Inj1)) # label(fact_def__d__Inj0) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 120 (all X (pp(aa_TPTP_ind_bool(scratc48500759_nat_p,X)) <-> (all X1 (pp(aa_TPTP_ind_bool(X1,scratc14033981ptyset)) -> ((all X2 (gg_TPTP_ind(X2) -> (pp(aa_TPTP_ind_bool(X1,X2)) -> pp(aa_TPTP_ind_bool(X1,aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,X2)))))) -> pp(aa_TPTP_ind_bool(X1,X))))))) # label(fact_def__nat__p) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 121 (all X aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,X) = aa_TPTP_ind_TPTP_ind(scratc1373331632nunion(X),aa_TPTP_ind_TPTP_ind(scratc6678795d_Sing,X))) # label(fact_def__ordsucc) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 122 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1774997007In_rec(X),Xa) = scratc2028344192nd_eps(aa_TPT43085870d_bool(scratc735790520_rec_G(X),Xa))) # label(fact_def__d__In__rec) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 123 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc735790520_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(scratc1235704493bnd_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].
% 1.15/1.51 124 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1289617174tminus(X),Xa) = aa_fun1431113780TP_ind(scratc1180544354_d_Sep(X),aa_TPT43085870d_bool(aTP_Lamm_br,Xa))) # label(fact_def__setminus) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 125 (all X all Xa scratc2047233427eplSep(X,Xa) = aa_TPT494704832TP_ind(scratc730446679d_repl,aa_fun1431113780TP_ind(scratc1180544354_d_Sep(X),Xa))) # label(fact_def__d__ReplSep) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 126 (all X all Xa aa_fun1431113780TP_ind(scratc1180544354_d_Sep(X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1235704485bnd_if(fEx_TPTP_ind(cOMBS_2003118649l_bool(cOMBB_658106424TP_ind(fconj,aa_TPT43085870d_bool(cOMBC_1555011498d_bool(scratc1235704493bnd_in),X)),Xa)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc730446679d_repl,X),aa_fun1235454963TP_ind(aTP_Lamm_bs(X),Xa))),scratc14033981ptyset)) # label(fact_def__d__Sep) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 127 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc379474533munion,X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1565467335_union,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc730446679d_repl,X),Xa))) # label(fact_def__famunion) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 128 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1373331632nunion(X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1565467335_union,aa_TPTP_ind_TPTP_ind(scratc2020142195_UPair(X),Xa))) # label(fact_def__binunion) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 129 (all X aa_TPTP_ind_TPTP_ind(scratc6678795d_Sing,X) = aa_TPTP_ind_TPTP_ind(scratc2020142195_UPair(X),X)) # label(fact_def__d__Sing) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 130 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc2020142195_UPair(X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc730446679d_repl,aa_TPTP_ind_TPTP_ind(scratc1058205469_power,aa_TPTP_ind_TPTP_ind(scratc1058205469_power,scratc14033981ptyset))),aa_TPT1424761345TP_ind(aTP_Lamm_bt(X),Xa))) # label(fact_def__d__UPair) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 131 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2100139371nd_nIn,X),Xa)) <-> -pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X),Xa)))) # label(fact_def__nIn) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 132 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1235704485bnd_if(X,Xa),Xb) = scratc2028344192nd_eps(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bu(X),Xa),Xb))) # label(fact_def__if) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 133 (all X (pp(aa_TPTP_ind_bool(scratc1034314420closed,X)) <-> pp(aa_TPTP_ind_bool(scratc1872770271closed,X)) & pp(aa_TPTP_ind_bool(scratc2037503285closed,X)) & pp(aa_TPTP_ind_bool(scratc1861893975closed,X)))) # label(fact_def__d__ZF__closed) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 134 (all X (pp(aa_TPTP_ind_bool(scratc1861893975closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X1),X)) -> (all X2 ((all X3 (gg_TPTP_ind(X3) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X3),X1)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,aa_TPTP_ind_TPTP_ind(X2,X3)),X))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc730446679d_repl,X1),X2)),X))))))))) # label(fact_def__d__Repl__closed) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 135 (all X (pp(aa_TPTP_ind_bool(scratc2037503285closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X1),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,aa_TPTP_ind_TPTP_ind(scratc1058205469_power,X1)),X))))))) # label(fact_def__d__Power__closed) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 136 (all X (pp(aa_TPTP_ind_bool(scratc1872770271closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X1),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,aa_TPTP_ind_TPTP_ind(scratc1565467335_union,X1)),X))))))) # label(fact_def__d__Union__closed) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 137 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105029677d_Subq,X),Xa)) <-> (all X2 (gg_TPTP_ind(X2) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X2),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X2),Xa))))))) # label(fact_def__d__Subq) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 138 (all X all Xa (pp(aa_fun171081125l_bool(scratc982322928all_of(X),Xa)) <-> (all X2 (gg_TPTP_ind(X2) -> (scratc161856553_is_of(X2,X) -> pp(aa_TPTP_ind_bool(Xa,X2))))))) # label(fact_def__all__of) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 139 (all X all Xa (scratc161856553_is_of(X,Xa) <-> pp(aa_TPTP_ind_bool(Xa,X)))) # label(fact_def__is__of) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 140 (all X0 (pp(aa_fun171081125l_bool(scratc836808378n_some,X0)) -> pp(aa_fun171081125l_bool(scratc837561888_n_one,scratc2093977034nd_min(X0))))) # label(fact_satz27a) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 141 (all X0 (pp(aa_fun171081125l_bool(scratc836808378n_some,X0)) -> pp(aa_fun171081125l_bool(scratc836808378n_some,scratc2093977034nd_min(X0))))) # label(fact_satz27) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 142 (all X0 pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ni,X0)),aa_TPT43085870d_bool(aTP_Lamm_nk,X0)))) # label(fact_isseti) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 143 (all X0 all X12 pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ao,X0)),aa_fun1584354236d_bool(aTP_Lamm_nl(X0),X12)))) # label(fact_estie) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 144 (all X0 all X12 pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ao,X0)),aa_fun1584354236d_bool(aTP_Lamm_nm(X0),X12)))) # label(fact_estii) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 145 (all X0 all X12 scratc161856553_is_of(aa_fun1431113780TP_ind(scratc1180544354_d_Sep(X0),X12),aa_TPT43085870d_bool(aTP_Lamm_ni,X0))) # label(fact_setof__p) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 146 (all X0 all X12 pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ao,X0)),aa_TPT43085870d_bool(aTP_Lamm_no(X0),X12)))) # label(fact_secondis1) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 147 (all X0 all X12 pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ao,X0)),aa_TPT43085870d_bool(aTP_Lamm_nq(X0),X12)))) # label(fact_firstis1) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 148 (all X0 all X12 pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_nr(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_ns(X0),X12)))) # label(fact_pairis1) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 149 (all X0 all X12 pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_nr(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_nt(X0),X12)))) # label(fact_second__p) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 150 (all X0 all X12 pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_nr(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_nu(X0),X12)))) # label(fact_first__p) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 151 (all X0 all X12 pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ao,X0)),aa_TPT43085870d_bool(aTP_Lamm_nw(X0),X12)))) # label(fact_e__pair__p) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 152 (all X0 all X12 pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ao,X0)),aa_fun1584354236d_bool(aTP_Lamm_nx(X0),X12)))) # label(fact_otax2) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 153 (all X0 all X12 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1358835871ective(aa_fun1431113780TP_ind(scratc1180544354_d_Sep(X0),X12)),X0),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2125655817_Sigma,aa_fun1431113780TP_ind(scratc1180544354_d_Sep(X0),X12)),scratc1605393154d_e_in(X0,X12))))) # label(fact_otax1) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 154 (all X0 all X12 pp(aa_fun171081125l_bool(scratc982322928all_of(aa_fun1584354236d_bool(aTP_Lamm_ny(X0),X12)),aa_fun1584354236d_bool(aTP_Lamm_nz(X0),X12)))) # label(fact_e__inp) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 155 (all X0 all X12 pp(aa_fun171081125l_bool(scratc982322928all_of(aa_fun1584354236d_bool(aTP_Lamm_ny(X0),X12)),aa_fun1584354236d_bool(aTP_Lamm_oa(X0),X12)))) # label(fact_e__in__p) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 156 (all X0 all X12 pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ob(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_oe(X0),X12)))) # label(fact_e__fisi) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 157 (all X0 all X12 (pp(aa_fun171081125l_bool(scratc2110828030nd_one(X0),X12)) -> pp(aa_TPTP_ind_bool(X12,scratc2061258999nd_ind(X0,X12))))) # label(fact_oneax) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 158 (all X0 all X12 (pp(aa_fun171081125l_bool(scratc2110828030nd_one(X0),X12)) -> scratc161856553_is_of(scratc2061258999nd_ind(X0,X12),aa_TPT43085870d_bool(aTP_Lamm_ao,X0)))) # label(fact_ind__p) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 159 (all X0 all X12 pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ao,X0)),aa_fun1584354236d_bool(aTP_Lamm_og(X0),X12)))) # label(fact_e__isp) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 160 (all X0 pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ao,X0)),aa_TPT43085870d_bool(aTP_Lamm_oh,X0)))) # label(fact_refis) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 161 (all X0 (scratc28846038nd_wel(X0) -> pp(X0))) # label(fact_l__et) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 162 (all X0 all X12 all X22 all X32 (pp(X0) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1235704485bnd_if(X0,X22),X32))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X12),X22))))) # label(fact_k__If__In__then__E) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 163 (all X0 all X12 all X22 ((pp(X0) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X12),X22))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,aa_TPTP_ind_TPTP_ind(scratc1235704485bnd_if(X0,X12),scratc14033981ptyset)),aa_TPTP_ind_TPTP_ind(scratc1235704485bnd_if(X0,X22),aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,scratc14033981ptyset)))))) # label(fact_k__If__In__01) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 164 (all X0 all X12 all X22 ((all X33 (gg_TPTP_ind(X33) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X33),X0)) -> aa_TPTP_ind_TPTP_ind(X12,X33) = aa_TPTP_ind_TPTP_ind(X22,X33)))) -> aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2125655817_Sigma,X0),X12) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2125655817_Sigma,X0),X22))) # label(fact_xi__ext) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 165 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc464188885d_d_Pi,X0),X12))) -> (all X32 (gg_TPTP_ind(X32) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X32),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc464188885d_d_Pi,X0),X12))) -> ((all X42 (gg_TPTP_ind(X42) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X42),X0)) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,X22),X42) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,X32),X42)))) -> X22 = X32))))))) # label(fact_k__Pi__ext) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 166 (all X0 all X12 all X22 all X32 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc464188885d_d_Pi,X0),X12))) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X32),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,X22),X32)),aa_TPTP_ind_TPTP_ind(X12,X32)))))) # label(fact_ap__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 167 (all X0 all X12 all X22 ((all X33 (gg_TPTP_ind(X33) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X33),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,aa_TPTP_ind_TPTP_ind(X22,X33)),aa_TPTP_ind_TPTP_ind(X12,X33)))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2125655817_Sigma,X0),X22)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc464188885d_d_Pi,X0),X12))))) # label(fact_lam__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 168 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X22),X0)) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2125655817_Sigma,X0),X12)),X22) = aa_TPTP_ind_TPTP_ind(X12,X22))) # label(fact_beta) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 169 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2125655817_Sigma,X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,aa_TPTP_ind_TPTP_ind(scratc1186719308_proj1,X22)),aa_TPTP_ind_TPTP_ind(X12,aa_TPTP_ind_TPTP_ind(scratc1186719307_proj0,X22)))))) # label(fact_proj1__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 170 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2125655817_Sigma,X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,aa_TPTP_ind_TPTP_ind(scratc1186719307_proj0,X22)),X0)))) # label(fact_proj0__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 171 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2125655817_Sigma,X0),X12))) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1283250722d_pair,aa_TPTP_ind_TPTP_ind(scratc1186719307_proj0,X22)),aa_TPTP_ind_TPTP_ind(scratc1186719308_proj1,X22)) = X22))) # label(fact_proj__Sigma__eta) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 172 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2125655817_Sigma,X0),X12))) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1283250722d_pair,aa_TPTP_ind_TPTP_ind(scratc1186719307_proj0,X22)),aa_TPTP_ind_TPTP_ind(scratc1186719308_proj1,X22)) = X22 & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,aa_TPTP_ind_TPTP_ind(scratc1186719307_proj0,X22)),X0)) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,aa_TPTP_ind_TPTP_ind(scratc1186719308_proj1,X22)),aa_TPTP_ind_TPTP_ind(X12,aa_TPTP_ind_TPTP_ind(scratc1186719307_proj0,X22))))))) # label(fact_k__Sigma__eta__proj0__proj1) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 173 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X22),X0)) -> (all X32 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X32),aa_TPTP_ind_TPTP_ind(X12,X22))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1283250722d_pair,X22),X32)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2125655817_Sigma,X0),X12))))))) # label(fact_pair__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 174 (all X0 all X12 (gg_TPTP_ind(X12) -> aa_TPTP_ind_TPTP_ind(scratc1186719308_proj1,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1283250722d_pair,X0),X12)) = X12)) # label(fact_proj1__pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 175 (all X0 all X12 (gg_TPTP_ind(X0) -> aa_TPTP_ind_TPTP_ind(scratc1186719307_proj0,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1283250722d_pair,X0),X12)) = X0)) # label(fact_proj0__pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 176 (all X0 (pp(aa_TPTP_ind_bool(scratc48500759_nat_p,X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X0),scratc356374521_omega)))) # label(fact_nat__p__omega) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 177 (all X0 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X0),scratc356374521_omega)) -> pp(aa_TPTP_ind_bool(scratc48500759_nat_p,X0)))) # label(fact_omega__nat__p) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 178 (all X0 (gg_TPTP_ind(X0) -> (pp(aa_TPTP_ind_bool(scratc48500759_nat_p,X0)) -> X0 = scratc14033981ptyset | (exists X13 (gg_TPTP_ind(X13) & pp(aa_TPTP_ind_bool(scratc48500759_nat_p,X13)) & X0 = aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,X13)))))) # label(fact_nat__inv) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 179 (all X0 (pp(aa_TPTP_ind_bool(X0,scratc14033981ptyset)) -> ((all X13 (gg_TPTP_ind(X13) -> (pp(aa_TPTP_ind_bool(scratc48500759_nat_p,X13)) -> (pp(aa_TPTP_ind_bool(X0,X13)) -> pp(aa_TPTP_ind_bool(X0,aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,X13))))))) -> (all X12 (pp(aa_TPTP_ind_bool(scratc48500759_nat_p,X12)) -> pp(aa_TPTP_ind_bool(X0,X12))))))) # label(fact_nat__ind) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 180 (all X0 (pp(aa_TPTP_ind_bool(scratc48500759_nat_p,X0)) -> pp(aa_TPTP_ind_bool(scratc48500759_nat_p,aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,X0))))) # label(fact_nat__ordsucc) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 181 (all X0 all X12 (gg_TPTP_ind(X0) & gg_TPTP_ind(X12) -> (aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,X0) = aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,X12) -> X0 = X12))) # label(fact_ordsucc__inj) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 182 (all X0 aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,X0) != scratc14033981ptyset) # label(fact_neq__ordsucc__0) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 183 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X22),aa_fun1431113780TP_ind(scratc1180544354_d_Sep(X0),X12))) -> pp(aa_TPTP_ind_bool(X12,X22)))) # label(fact_k__SepE2) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 184 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X22),aa_fun1431113780TP_ind(scratc1180544354_d_Sep(X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X22),X0)))) # label(fact_k__SepE1) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 185 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X22),X0)) -> (pp(aa_TPTP_ind_bool(X12,X22)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X22),aa_fun1431113780TP_ind(scratc1180544354_d_Sep(X0),X12)))))) # label(fact_k__SepI) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 186 (all X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X0),aa_TPTP_ind_TPTP_ind(scratc1058205469_power,X0)))) # label(fact_k__Self__In__Power) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 187 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105029677d_Subq,X12),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1058205469_power,X0))))) # label(fact_k__PowerI) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 188 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1058205469_power,X0))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105029677d_Subq,X12),X0)))) # label(fact_k__PowerE) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 189 (all X0 all X12 all X22 (gg_TPTP_ind(X12) & gg_TPTP_ind(X22) -> aa_TPTP_ind_TPTP_ind(scratc1235704485bnd_if(X0,X12),X22) = X12 | aa_TPTP_ind_TPTP_ind(scratc1235704485bnd_if(X0,X12),X22) = X22)) # label(fact_if__i__or) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 190 (all X0 all X12 all X22 (gg_TPTP_ind(X12) -> (pp(X0) -> aa_TPTP_ind_TPTP_ind(scratc1235704485bnd_if(X0,X12),X22) = X12))) # label(fact_if__i__1) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 191 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (-pp(X0) -> aa_TPTP_ind_TPTP_ind(scratc1235704485bnd_if(X0,X12),X22) = X22))) # label(fact_if__i__0) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 192 (all X0 all X12 all X22 (gg_TPTP_ind(X12) & gg_TPTP_ind(X22) -> pp(X0) & aa_TPTP_ind_TPTP_ind(scratc1235704485bnd_if(X0,X12),X22) = X12 | -pp(X0) & aa_TPTP_ind_TPTP_ind(scratc1235704485bnd_if(X0,X12),X22) = X22)) # label(fact_if__i__correct) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 193 (all X0 pp(aa_TPTP_ind_bool(scratc1034314420closed,aa_TPTP_ind_TPTP_ind(scratc481557541univof,X0)))) # label(fact_k__UnivOf__ZF__closed) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 194 (all X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X0),aa_TPTP_ind_TPTP_ind(scratc481557541univof,X0)))) # label(fact_k__UnivOf__In) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 195 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc730446679d_repl,X0),X12))) <-> (exists X3 (gg_TPTP_ind(X3) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X3),X0)) & X22 = aa_TPTP_ind_TPTP_ind(X12,X3)))))) # label(fact_k__ReplEq) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 196 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1058205469_power,X0))) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105029677d_Subq,X12),X0)))) # label(fact_k__PowerEq) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 197 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1565467335_union,X0))) <-> (exists X2 (gg_TPTP_ind(X2) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X12),X2)) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X2),X0)))))) # label(fact_k__UnionEq) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 198 -(exists X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X0),scratc14033981ptyset))) # label(fact_k__EmptyAx) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 199 (all X0 ((all X13 (gg_TPTP_ind(X13) -> ((all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_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].
% 1.15/1.51 200 (all X0 all X12 (gg_TPTP_ind(X0) & gg_TPTP_ind(X12) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105029677d_Subq,X0),X12)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc105029677d_Subq,X12),X0)) -> X0 = X12)))) # label(fact_set__ext) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 201 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mx,Uu)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2102238544nd_nis,Uu),scratc1852380907nd_n_1)) -> pp(aa_fun171081125l_bool(scratc836808378n_some,aa_TPT43085870d_bool(aTP_Lamm_ak,Uu)))))) # label(fact_ATP_Olambda__1) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 202 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mw,Uu)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2102238544nd_nis,Uu),scratc1852380907nd_n_1)) -> pp(aa_fun171081125l_bool(scratc837561888_n_one,aa_TPT43085870d_bool(aTP_Lamm_ak,Uu)))))) # label(fact_ATP_Olambda__2) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 203 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mt,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),scratc1852380907nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uu))))) # label(fact_ATP_Olambda__3) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 204 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ev,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uu),scratc1852380907nd_n_1)),Uu)))) # label(fact_ATP_Olambda__4) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 205 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mq,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(scratc1852380907nd_n_1),Uu)),aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uu))))) # label(fact_ATP_Olambda__5) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 206 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_es,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(scratc1852380907nd_n_1),Uu)),Uu)))) # label(fact_ATP_Olambda__6) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 207 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mv,Uu)) <-> pp(aa_fun171081125l_bool(scratc2110828030nd_one(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc464188885d_d_Pi,scratc2101713753nd_nat),aTP_Lamm_ae)),aa_TPT43085870d_bool(aTP_Lamm_mu,Uu))))) # label(fact_ATP_Olambda__7) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 208 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ex,Uu)) <-> pp(aa_fun171081125l_bool(scratc2110828030nd_one(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc464188885d_d_Pi,scratc2101713753nd_nat),aTP_Lamm_ae)),aa_TPT43085870d_bool(aTP_Lamm_ew,Uu))))) # label(fact_ATP_Olambda__8) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 209 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nd,Uu)) <-> (pp(aa_TPTP_ind_bool(scratc1201836039_cond1,Uu)) -> (pp(aa_TPTP_ind_bool(scratc1201836040_cond2,Uu)) -> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_nc,Uu))))))) # label(fact_ATP_Olambda__9) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 210 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mn,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),scratc1852380907nd_n_1))))) # label(fact_ATP_Olambda__10) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 211 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mk,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(scratc1852380907nd_n_1),Uu))))) # label(fact_ATP_Olambda__11) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 212 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jk,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uu)),Uu)))) # label(fact_ATP_Olambda__12) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 213 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_my,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2102238544nd_nis,aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uu)),Uu)))) # label(fact_ATP_Olambda__13) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 214 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nh,Uu)) <-> scratc161856553_is_of(aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uu),aTP_Lamm_a))) # label(fact_ATP_Olambda__14) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 215 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fp,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uu)),scratc1852380907nd_n_1)))) # label(fact_ATP_Olambda__15) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 216 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ng,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2102238544nd_nis,aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uu)),scratc1852380907nd_n_1)))) # label(fact_ATP_Olambda__16) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 217 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ep,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uu),scratc1852380907nd_n_1))))) # label(fact_ATP_Olambda__17) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 218 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_em,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(scratc1852380907nd_n_1),Uu))))) # label(fact_ATP_Olambda__18) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 219 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jj,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uu),aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uu))))) # label(fact_ATP_Olambda__19) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 220 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nb,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,Uu),aa_TPTP_ind_TPTP_ind(scratc1058205469_power,scratc2101713753nd_nat))))) # label(fact_ATP_Olambda__20) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 221 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fq,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,Uu),scratc1852380907nd_n_1)))) # label(fact_ATP_Olambda__21) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 222 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_a,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,Uu),scratc2101713753nd_nat)))) # label(fact_ATP_Olambda__22) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 223 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nf,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ne,Uu))))) # label(fact_ATP_Olambda__23) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 224 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_na,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_mz,Uu))))) # label(fact_ATP_Olambda__24) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 225 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ms,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_mr,Uu))))) # label(fact_ATP_Olambda__25) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 226 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mp,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_mo,Uu))))) # label(fact_ATP_Olambda__26) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 227 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mm,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ml,Uu))))) # label(fact_ATP_Olambda__27) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 228 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mj,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_mi,Uu))))) # label(fact_ATP_Olambda__28) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 229 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mh,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_mg,Uu))))) # label(fact_ATP_Olambda__29) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 230 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_me,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_md,Uu))))) # label(fact_ATP_Olambda__30) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 231 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mc,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_mb,Uu))))) # label(fact_ATP_Olambda__31) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 232 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ma,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_lz,Uu))))) # label(fact_ATP_Olambda__32) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 233 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lx,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_lw,Uu))))) # label(fact_ATP_Olambda__33) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 234 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lu,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_lt,Uu))))) # label(fact_ATP_Olambda__34) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 235 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ls,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_lr,Uu))))) # label(fact_ATP_Olambda__35) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 236 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lo,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ln,Uu))))) # label(fact_ATP_Olambda__36) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 237 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lm,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ll,Uu))))) # label(fact_ATP_Olambda__37) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 238 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lk,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_lj,Uu))))) # label(fact_ATP_Olambda__38) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 239 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_li,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_lh,Uu))))) # label(fact_ATP_Olambda__39) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 240 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lg,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_lf,Uu))))) # label(fact_ATP_Olambda__40) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 241 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_le,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ld,Uu))))) # label(fact_ATP_Olambda__41) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 242 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lc,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_lb,Uu))))) # label(fact_ATP_Olambda__42) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 243 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_la,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_kz,Uu))))) # label(fact_ATP_Olambda__43) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 244 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ky,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_kx,Uu))))) # label(fact_ATP_Olambda__44) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 245 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kw,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_kv,Uu))))) # label(fact_ATP_Olambda__45) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 246 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ku,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_kt,Uu))))) # label(fact_ATP_Olambda__46) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 247 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ks,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_kr,Uu))))) # label(fact_ATP_Olambda__47) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 248 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kq,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_kp,Uu))))) # label(fact_ATP_Olambda__48) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 249 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ko,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_kn,Uu))))) # label(fact_ATP_Olambda__49) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 250 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_km,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_kl,Uu))))) # label(fact_ATP_Olambda__50) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 251 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kk,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_kj,Uu))))) # label(fact_ATP_Olambda__51) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 252 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ki,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_kh,Uu))))) # label(fact_ATP_Olambda__52) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 253 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kg,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_kf,Uu))))) # label(fact_ATP_Olambda__53) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 254 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kd,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_kc,Uu))))) # label(fact_ATP_Olambda__54) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 255 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ka,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_jz,Uu))))) # label(fact_ATP_Olambda__55) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 256 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jx,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_jw,Uu))))) # label(fact_ATP_Olambda__56) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 257 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ju,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_jt,Uu))))) # label(fact_ATP_Olambda__57) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 258 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jr,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_jq,Uu))))) # label(fact_ATP_Olambda__58) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 259 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jo,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_jn,Uu))))) # label(fact_ATP_Olambda__59) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 260 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jm,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_jl,Uu))))) # label(fact_ATP_Olambda__60) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 261 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ji,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_jh,Uu))))) # label(fact_ATP_Olambda__61) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 262 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jf,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_je,Uu))))) # label(fact_ATP_Olambda__62) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 263 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jc,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_jb,Uu))))) # label(fact_ATP_Olambda__63) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 264 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_iz,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_iy,Uu))))) # label(fact_ATP_Olambda__64) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 265 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_iw,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_iv,Uu))))) # label(fact_ATP_Olambda__65) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 266 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_it,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_is,Uu))))) # label(fact_ATP_Olambda__66) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 267 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_iq,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ip,Uu))))) # label(fact_ATP_Olambda__67) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 268 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_im,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_il,Uu))))) # label(fact_ATP_Olambda__68) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 269 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ii,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ih,Uu))))) # label(fact_ATP_Olambda__69) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 270 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ie,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_id,Uu))))) # label(fact_ATP_Olambda__70) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 271 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ia,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hz,Uu))))) # label(fact_ATP_Olambda__71) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 272 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hx,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hw,Uu))))) # label(fact_ATP_Olambda__72) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 273 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hu,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ht,Uu))))) # label(fact_ATP_Olambda__73) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 274 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hr,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hq,Uu))))) # label(fact_ATP_Olambda__74) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 275 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ho,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hn,Uu))))) # label(fact_ATP_Olambda__75) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 276 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hl,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hk,Uu))))) # label(fact_ATP_Olambda__76) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 277 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hi,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hh,Uu))))) # label(fact_ATP_Olambda__77) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 278 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hf,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_he,Uu))))) # label(fact_ATP_Olambda__78) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 279 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hc,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hb,Uu))))) # label(fact_ATP_Olambda__79) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 280 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gz,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gy,Uu))))) # label(fact_ATP_Olambda__80) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 281 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gw,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gv,Uu))))) # label(fact_ATP_Olambda__81) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 282 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gs,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gr,Uu))))) # label(fact_ATP_Olambda__82) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 283 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_go,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gn,Uu))))) # label(fact_ATP_Olambda__83) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 284 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gk,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gj,Uu))))) # label(fact_ATP_Olambda__84) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 285 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gg,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gf,Uu))))) # label(fact_ATP_Olambda__85) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 286 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gc,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gb,Uu))))) # label(fact_ATP_Olambda__86) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 287 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fy,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fx,Uu))))) # label(fact_ATP_Olambda__87) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 288 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fu,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ft,Uu))))) # label(fact_ATP_Olambda__88) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 289 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fn,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fm,Uu))))) # label(fact_ATP_Olambda__89) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 290 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fl,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fk,Uu))))) # label(fact_ATP_Olambda__90) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 291 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fj,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fi,Uu))))) # label(fact_ATP_Olambda__91) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 292 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fh,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fg,Uu))))) # label(fact_ATP_Olambda__92) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 293 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ff,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fe,Uu))))) # label(fact_ATP_Olambda__93) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 294 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fd,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fc,Uu))))) # label(fact_ATP_Olambda__94) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 295 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fb,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fa,Uu))))) # label(fact_ATP_Olambda__95) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 296 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ez,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ey,Uu))))) # label(fact_ATP_Olambda__96) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 297 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_eu,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_et,Uu))))) # label(fact_ATP_Olambda__97) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 298 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_er,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_eq,Uu))))) # label(fact_ATP_Olambda__98) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 299 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_eo,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_en,Uu))))) # label(fact_ATP_Olambda__99) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 300 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_el,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ek,Uu))))) # label(fact_ATP_Olambda__100) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 301 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ej,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ei,Uu))))) # label(fact_ATP_Olambda__101) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 302 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_eh,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_eg,Uu))))) # label(fact_ATP_Olambda__102) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 303 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ee,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ed,Uu))))) # label(fact_ATP_Olambda__103) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 304 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_eb,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ea,Uu))))) # label(fact_ATP_Olambda__104) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 305 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dy,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dx,Uu))))) # label(fact_ATP_Olambda__105) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 306 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dv,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_du,Uu))))) # label(fact_ATP_Olambda__106) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 307 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ds,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dr,Uu))))) # label(fact_ATP_Olambda__107) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 308 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dp,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_do,Uu))))) # label(fact_ATP_Olambda__108) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 309 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dm,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dl,Uu))))) # label(fact_ATP_Olambda__109) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 310 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dj,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_di,Uu))))) # label(fact_ATP_Olambda__110) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 311 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_df,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_de,Uu))))) # label(fact_ATP_Olambda__111) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 312 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_db,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_da,Uu))))) # label(fact_ATP_Olambda__112) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 313 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cx,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cw,Uu))))) # label(fact_ATP_Olambda__113) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 314 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ct,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cs,Uu))))) # label(fact_ATP_Olambda__114) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 315 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cq,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cp,Uu))))) # label(fact_ATP_Olambda__115) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 316 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cn,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cm,Uu))))) # label(fact_ATP_Olambda__116) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 317 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ck,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cj,Uu))))) # label(fact_ATP_Olambda__117) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 318 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ch,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cg,Uu))))) # label(fact_ATP_Olambda__118) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 319 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ce,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cd,Uu))))) # label(fact_ATP_Olambda__119) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 320 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cb,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ca,Uu))))) # label(fact_ATP_Olambda__120) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 321 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_by,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bx,Uu))))) # label(fact_ATP_Olambda__121) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 322 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ad,Uu)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,Uu))))) # label(fact_ATP_Olambda__122) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 323 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fo,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,scratc1852380907nd_n_1),aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uu))))) # label(fact_ATP_Olambda__123) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 324 (all Uu aa_TPT494704832TP_ind(aTP_Lamm_bp,Uu) = aa_TPT494704832TP_ind(scratc730446679d_repl,aa_TPTP_ind_TPTP_ind(scratc1289617174tminus(Uu),aa_TPTP_ind_TPTP_ind(scratc6678795d_Sing,scratc14033981ptyset)))) # label(fact_ATP_Olambda__124) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 325 (all Uu (gg_TPTP_ind(Uu) -> (pp(aa_TPTP_ind_bool(aTP_Lamm_am,Uu)) <-> Uu != scratc14033981ptyset))) # label(fact_ATP_Olambda__125) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 326 (all Uu (gg_TPTP_ind(Uu) -> (pp(aa_TPTP_ind_bool(aTP_Lamm_bn,Uu)) <-> (exists X2 (gg_TPTP_ind(X2) & aa_TPTP_ind_TPTP_ind(scratc831786472d_Inj1,X2) = Uu))))) # label(fact_ATP_Olambda__126) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 327 (all Uu (gg_TPTP_ind(Uu) -> (pp(aa_TPTP_ind_bool(aTP_Lamm_bo,Uu)) <-> (exists X2 (gg_TPTP_ind(X2) & aa_TPTP_ind_TPTP_ind(scratc831786471d_Inj0,X2) = Uu))))) # label(fact_ATP_Olambda__127) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 328 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lj,Uu),Uua)) <-> scratc2111564426_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uu),Uua)))) # label(fact_ATP_Olambda__128) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 329 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lh,Uu),Uua)) <-> pp(scratc2111090376nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__129) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 330 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lf,Uu),Uua)) <-> pp(scratc2027491341nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__130) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 331 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lr,Uu),Uua)) <-> scratc2111564426_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc836808378n_some,aa_TPT43085870d_bool(aTP_Lamm_lp(Uu),Uua)),aa_fun171081125l_bool(scratc836808378n_some,aa_TPT43085870d_bool(aTP_Lamm_lq(Uu),Uua))))) # label(fact_ATP_Olambda__131) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 332 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ln,Uu),Uua)) <-> pp(scratc2111090376nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc836808378n_some,aa_TPT43085870d_bool(scratc1295930928ffprop(Uu),Uua)),aa_fun171081125l_bool(scratc836808378n_some,aa_TPT43085870d_bool(scratc1295930928ffprop(Uua),Uu)))))) # label(fact_ATP_Olambda__132) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 333 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ll,Uu),Uua)) <-> pp(scratc2027491341nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc836808378n_some,aa_TPT43085870d_bool(scratc1295930928ffprop(Uu),Uua)),aa_fun171081125l_bool(scratc836808378n_some,aa_TPT43085870d_bool(scratc1295930928ffprop(Uua),Uu)))))) # label(fact_ATP_Olambda__133) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 334 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oh,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1605393159d_e_is(Uu),Uua),Uua)))) # label(fact_ATP_Olambda__134) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 335 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ek,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uu),Uua)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uu)),Uua))))) # label(fact_ATP_Olambda__135) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 336 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_en,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uu),Uua)),Uu)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uua)))))) # label(fact_ATP_Olambda__136) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 337 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mu,Uu),Uua)) <-> pp(scratc1296795803_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,Uua),scratc1852380907nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uu)),aa_fun171081125l_bool(scratc721769627_n_all,aa_TPT43085870d_bool(aTP_Lamm_aj,Uua)))))) # label(fact_ATP_Olambda__137) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 338 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fa,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uua),scratc1852380907nd_n_1)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,Uua),Uu))))) # label(fact_ATP_Olambda__138) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 339 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ew,Uu),Uua)) <-> pp(scratc1296795803_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,Uua),scratc1852380907nd_n_1)),Uu),aa_fun171081125l_bool(scratc721769627_n_all,aa_TPT43085870d_bool(aTP_Lamm_ah(Uu),Uua)))))) # label(fact_ATP_Olambda__139) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 340 (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(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__140) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 341 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eq,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uu),Uua)),Uua))))) # label(fact_ATP_Olambda__141) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 342 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ey,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uua)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,Uua),Uu))))) # label(fact_ATP_Olambda__142) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 343 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mo,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uua)))))) # label(fact_ATP_Olambda__143) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 344 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fe,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uua),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),scratc1852380907nd_n_1))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,Uua),Uu))))) # label(fact_ATP_Olambda__144) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 345 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_et,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uu),Uua)),Uu))))) # label(fact_ATP_Olambda__145) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 346 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fc,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uua),aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uu))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,Uua),Uu))))) # label(fact_ATP_Olambda__146) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 347 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mr,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uua)))))) # label(fact_ATP_Olambda__147) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 348 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aj,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,Uu),aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,Uu),Uua)))))) # label(fact_ATP_Olambda__148) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 349 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fi,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uua),scratc1852380907nd_n_1)),Uu))))) # label(fact_ATP_Olambda__149) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 350 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mz,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2102238544nd_nis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2102238544nd_nis,aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uua)))))) # label(fact_ATP_Olambda__150) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 351 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_al,Uu),Uua)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc2061193412nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053515d_n_in,Uua),Uu)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053515d_n_in,aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uua)),Uu))))) # label(fact_ATP_Olambda__151) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 352 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fg,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uua)),Uu))))) # label(fact_ATP_Olambda__152) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 353 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fm,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,Uua),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),scratc1852380907nd_n_1)))))) # label(fact_ATP_Olambda__153) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 354 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fk,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,Uua),aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uu)))))) # label(fact_ATP_Olambda__154) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 355 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ei,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uua),Uu))))) # label(fact_ATP_Olambda__155) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 356 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_md,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uua),Uu))))) # label(fact_ATP_Olambda__156) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.51 357 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ld,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uua),Uu))))) # label(fact_ATP_Olambda__157) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 358 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kz,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,Uua),Uu))))) # label(fact_ATP_Olambda__158) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 359 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kx,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,Uua),Uu))))) # label(fact_ATP_Olambda__159) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 360 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lb,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uua),Uu))))) # label(fact_ATP_Olambda__160) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 361 (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(scratc166993219_29_ii,Uu),Uua)) -> pp(scratc1404260983_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,Uu),Uua)))))) # label(fact_ATP_Olambda__161) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 362 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kv,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,Uu),Uua)) -> pp(scratc1404260983_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uu),Uua)))))) # label(fact_ATP_Olambda__162) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 363 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kt,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,Uu),Uua)) -> pp(scratc1404260983_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uu),Uua)))))) # label(fact_ATP_Olambda__163) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 364 (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(scratc2060931009nd_iii,Uu),Uua)) -> pp(scratc1404260983_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,Uu),Uua)))))) # label(fact_ATP_Olambda__164) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 365 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jn,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uua)),Uu)))) # label(fact_ATP_Olambda__165) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 366 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_af(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,Uu),Uua)),Uua)) # label(fact_ATP_Olambda__166) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 367 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_bm(Uu),Uua) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc730446679d_repl,aa_TPTP_ind_TPTP_ind(Uu,Uua)),aa_TPT1424761345TP_ind(scratc1283250722d_pair,Uua))) # label(fact_ATP_Olambda__167) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 368 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ni,Uu)),aa_TPT43085870d_bool(aTP_Lamm_nj(Uu),Uua))))) # label(fact_ATP_Olambda__168) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 369 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mi,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uua))),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uu)),Uua))))) # label(fact_ATP_Olambda__169) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 370 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ml,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uua))),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uua)))))) # label(fact_ATP_Olambda__170) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 371 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kr,Uu),Uua)) <-> (pp(scratc1404260983_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,Uu),Uua))))) # label(fact_ATP_Olambda__171) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 372 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kj,Uu),Uua)) <-> (pp(scratc1404260983_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__172) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 373 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kh,Uu),Uua)) <-> (pp(scratc1404260983_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__173) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 374 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kp,Uu),Uua)) <-> (pp(scratc1404260983_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,Uu),Uua))))) # label(fact_ATP_Olambda__174) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 375 (all Uu all Uua aa_fun277296641TP_ind(aa_TPT494704832TP_ind(aTP_Lamm_bq,Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1373331632nunion(aa_TPTP_ind_TPTP_ind(scratc6678795d_Sing,scratc14033981ptyset)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc730446679d_repl,Uu),Uua))) # label(fact_ATP_Olambda__175) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 376 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mb,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2102238544nd_nis,Uua),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uua))))) # label(fact_ATP_Olambda__176) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 377 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jl,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uu),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uua))))) # label(fact_ATP_Olambda__177) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 378 (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(scratc1124053520d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uua))))) # label(fact_ATP_Olambda__178) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 379 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ni,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,Uua),aa_TPTP_ind_TPTP_ind(scratc1058205469_power,Uu))))) # label(fact_ATP_Olambda__179) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 380 (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(scratc1124053515d_n_in,Uua),Uu)))) # label(fact_ATP_Olambda__180) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 381 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2100139371nd_nIn,Uua),Uu)))) # label(fact_ATP_Olambda__181) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 382 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ao,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,Uua),Uu)))) # label(fact_ATP_Olambda__182) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 383 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_mf(Uu),Uua))))) # label(fact_ATP_Olambda__183) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 384 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ly(Uu),Uua))))) # label(fact_ATP_Olambda__184) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 385 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_lv(Uu),Uua))))) # label(fact_ATP_Olambda__185) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 386 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ke(Uu),Uua))))) # label(fact_ATP_Olambda__186) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 387 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_kb(Uu),Uua))))) # label(fact_ATP_Olambda__187) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 388 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_jy(Uu),Uua))))) # label(fact_ATP_Olambda__188) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 389 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_jv(Uu),Uua))))) # label(fact_ATP_Olambda__189) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 390 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_js(Uu),Uua))))) # label(fact_ATP_Olambda__190) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 391 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_jp(Uu),Uua))))) # label(fact_ATP_Olambda__191) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 392 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_jg(Uu),Uua))))) # label(fact_ATP_Olambda__192) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 393 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_je,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_jd(Uu),Uua))))) # label(fact_ATP_Olambda__193) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 394 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ja(Uu),Uua))))) # label(fact_ATP_Olambda__194) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 395 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ix(Uu),Uua))))) # label(fact_ATP_Olambda__195) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 396 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_iu(Uu),Uua))))) # label(fact_ATP_Olambda__196) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 397 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_is,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ir(Uu),Uua))))) # label(fact_ATP_Olambda__197) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 398 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ip,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_io(Uu),Uua))))) # label(fact_ATP_Olambda__198) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 399 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_il,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ik(Uu),Uua))))) # label(fact_ATP_Olambda__199) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 400 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ih,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ig(Uu),Uua))))) # label(fact_ATP_Olambda__200) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 401 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_id,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ic(Uu),Uua))))) # label(fact_ATP_Olambda__201) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 402 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hy(Uu),Uua))))) # label(fact_ATP_Olambda__202) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 403 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hv(Uu),Uua))))) # label(fact_ATP_Olambda__203) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 404 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ht,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hs(Uu),Uua))))) # label(fact_ATP_Olambda__204) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 405 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hp(Uu),Uua))))) # label(fact_ATP_Olambda__205) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 406 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hm(Uu),Uua))))) # label(fact_ATP_Olambda__206) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 407 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hj(Uu),Uua))))) # label(fact_ATP_Olambda__207) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 408 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hg(Uu),Uua))))) # label(fact_ATP_Olambda__208) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 409 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_he,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hd(Uu),Uua))))) # label(fact_ATP_Olambda__209) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 410 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ha(Uu),Uua))))) # label(fact_ATP_Olambda__210) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 411 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx(Uu),Uua))))) # label(fact_ATP_Olambda__211) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 412 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gu(Uu),Uua))))) # label(fact_ATP_Olambda__212) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 413 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gq(Uu),Uua))))) # label(fact_ATP_Olambda__213) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 414 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gm(Uu),Uua))))) # label(fact_ATP_Olambda__214) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 415 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gi(Uu),Uua))))) # label(fact_ATP_Olambda__215) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 416 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ge(Uu),Uua))))) # label(fact_ATP_Olambda__216) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 417 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ga(Uu),Uua))))) # label(fact_ATP_Olambda__217) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 418 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fw(Uu),Uua))))) # label(fact_ATP_Olambda__218) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 419 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ft,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fs(Uu),Uua))))) # label(fact_ATP_Olambda__219) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 420 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ef(Uu),Uua))))) # label(fact_ATP_Olambda__220) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 421 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ed,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ec(Uu),Uua))))) # label(fact_ATP_Olambda__221) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 422 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ea,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dz(Uu),Uua))))) # label(fact_ATP_Olambda__222) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 423 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dw(Uu),Uua))))) # label(fact_ATP_Olambda__223) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 424 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_du,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dt(Uu),Uua))))) # label(fact_ATP_Olambda__224) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 425 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dq(Uu),Uua))))) # label(fact_ATP_Olambda__225) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 426 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_do,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dn(Uu),Uua))))) # label(fact_ATP_Olambda__226) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 427 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dk(Uu),Uua))))) # label(fact_ATP_Olambda__227) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 428 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_di,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dh(Uu),Uua))))) # label(fact_ATP_Olambda__228) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 429 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_de,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dd(Uu),Uua))))) # label(fact_ATP_Olambda__229) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 430 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_da,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cz(Uu),Uua))))) # label(fact_ATP_Olambda__230) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 431 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cv(Uu),Uua))))) # label(fact_ATP_Olambda__231) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 432 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cs,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cr(Uu),Uua))))) # label(fact_ATP_Olambda__232) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 433 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_co(Uu),Uua))))) # label(fact_ATP_Olambda__233) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 434 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cl(Uu),Uua))))) # label(fact_ATP_Olambda__234) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 435 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ci(Uu),Uua))))) # label(fact_ATP_Olambda__235) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 436 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf(Uu),Uua))))) # label(fact_ATP_Olambda__236) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 437 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cc(Uu),Uua))))) # label(fact_ATP_Olambda__237) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 438 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ca,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bz(Uu),Uua))))) # label(fact_ATP_Olambda__238) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 439 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bw(Uu),Uua))))) # label(fact_ATP_Olambda__239) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 440 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(Uu),Uua))))) # label(fact_ATP_Olambda__240) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 441 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lt,Uu),Uua)) <-> pp(scratc1665417906_amone(scratc2101713753nd_nat,aa_TPT43085870d_bool(aTP_Lamm_lp(Uu),Uua))))) # label(fact_ATP_Olambda__241) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 442 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_ai(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,Uu),Uua))) # label(fact_ATP_Olambda__242) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 443 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_bj(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1565467335_union,aa_TPTP_ind_TPTP_ind(Uu,Uua))) # label(fact_ATP_Olambda__243) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 444 (all Uu all Uua (gg_TPTP_ind(Uua) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bl,Uu),Uua)) <-> (exists X3 (gg_TPTP_ind(X3) & Uua = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1283250722d_pair,Uu),X3)))))) # label(fact_ATP_Olambda__244) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 445 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ns(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1605393159d_e_is(aa_TPTP_ind_TPTP_ind(scratc1846355601etprod(Uu),Uua)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1102451062d_pair(Uu,Uua),aa_TPTP_ind_TPTP_ind(scratc2118519432_first(Uu,Uua),Uub)),aa_TPTP_ind_TPTP_ind(scratc1919914332second(Uu,Uua),Uub))),Uub)))) # label(fact_ATP_Olambda__245) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 446 (all Uu all Uua all Uub aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aTP_Lamm_bt(Uu),Uua),Uub) = aa_TPTP_ind_TPTP_ind(scratc1235704485bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,scratc14033981ptyset),Uub),Uu),Uua)) # label(fact_ATP_Olambda__246) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 447 (all Uu all Uua all Uub aa_TPTP_ind_TPTP_ind(aa_fun1235454963TP_ind(aTP_Lamm_bs(Uu),Uua),Uub) = aa_TPTP_ind_TPTP_ind(scratc1235704485bnd_if(aa_TPTP_ind_bool(Uua,Uub),Uub),scratc2028344192nd_eps(aa_fun1584354236d_bool(aTP_Lamm_bg(Uu),Uua)))) # label(fact_ATP_Olambda__247) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 448 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_az(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1436154795d_esti(Uu),Uub),Uua)))) # label(fact_ATP_Olambda__248) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 449 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_nl(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1436154795d_esti(Uu),Uub),aa_fun1431113780TP_ind(scratc1180544354_d_Sep(Uu),Uua))) -> pp(aa_TPTP_ind_bool(Uua,Uub))))) # label(fact_ATP_Olambda__249) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 450 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nj(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221113590d_incl(Uu),Uua),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221113590d_incl(Uu),Uub),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1605393159d_e_is(aa_TPTP_ind_TPTP_ind(scratc1058205469_power,Uu)),Uua),Uub)))))) # label(fact_ATP_Olambda__250) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 451 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nt(Uu),Uua),Uub)) <-> scratc161856553_is_of(aa_TPTP_ind_TPTP_ind(scratc1919914332second(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_ao,Uua)))) # label(fact_ATP_Olambda__251) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 452 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nu(Uu),Uua),Uub)) <-> scratc161856553_is_of(aa_TPTP_ind_TPTP_ind(scratc2118519432_first(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_ao,Uu)))) # label(fact_ATP_Olambda__252) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 453 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_oa(Uu),Uua),Uub)) <-> scratc161856553_is_of(aa_TPTP_ind_TPTP_ind(scratc1605393154d_e_in(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_ao,Uu)))) # label(fact_ATP_Olambda__253) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 454 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oe(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ob(Uu),Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_od(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__254) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 455 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__255) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 456 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hm(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__256) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 457 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hd(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__257) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 458 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__258) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 459 (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(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,Uua),Uub))))) # label(fact_ATP_Olambda__259) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 460 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hj(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__260) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 461 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ha(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__261) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 462 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bz(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__262) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 463 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hg(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__263) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 464 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__264) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 465 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ec(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__265) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 466 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mf(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__266) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 467 (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(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uua),Uub))),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uu),Uub)))))) # label(fact_ATP_Olambda__267) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 468 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ah(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(scratc64948859rdsucc,Uub))),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,Uua),Uub)),Uu))))) # label(fact_ATP_Olambda__268) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 469 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dz(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__269) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 470 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__270) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 471 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jg(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__271) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 472 (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(scratc166993219_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__272) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 473 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_js(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uu),Uub)))))) # label(fact_ATP_Olambda__273) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 474 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cr(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__274) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 475 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_co(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__275) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 476 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hy(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__276) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 477 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hv(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__277) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 478 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jv(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uu),Uub)))))) # label(fact_ATP_Olambda__278) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 479 (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(scratc1100558699lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__279) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 480 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ci(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__280) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 481 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hs(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__281) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 482 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hp(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__282) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 483 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jp(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,Uu),Uub)))))) # label(fact_ATP_Olambda__283) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 484 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kb(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__284) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 485 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dw(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__285) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 486 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dn(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__286) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 487 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jd(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__287) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 488 (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(scratc1124053520d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__288) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 489 (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(scratc2102238544nd_nis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2102238544nd_nis,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uub)))))) # label(fact_ATP_Olambda__289) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 490 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dt(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__290) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 491 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dk(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__291) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 492 (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(scratc2060931009nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__292) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 493 (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(scratc2060931009nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__293) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 494 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jy(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__294) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 495 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ke(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__295) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 496 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_bg(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,Uub),Uu)) & pp(aa_TPTP_ind_bool(Uua,Uub)))) # label(fact_ATP_Olambda__296) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 497 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_nx(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2075877363_image(aa_fun1431113780TP_ind(scratc1180544354_d_Sep(Uu),Uua),Uu),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc2125655817_Sigma,aa_fun1431113780TP_ind(scratc1180544354_d_Sep(Uu),Uua)),scratc1605393154d_e_in(Uu,Uua))),Uub))))) # label(fact_ATP_Olambda__297) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 498 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_nm(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1436154795d_esti(Uu),Uub),aa_fun1431113780TP_ind(scratc1180544354_d_Sep(Uu),Uua)))))) # label(fact_ATP_Olambda__298) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 499 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_og(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ao,Uu)),aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_of(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__299) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 500 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_bi(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ao,Uu)),aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_bh(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__300) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 501 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nw(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ao,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_nv(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__301) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 502 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nq(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ao,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_np(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__302) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 503 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_no(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ao,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_nn(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__303) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 504 (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(scratc1235704493bnd_in,Uub),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc464188885d_d_Pi,Uu),aTP_Lamm_an(Uua)))))) # label(fact_ATP_Olambda__304) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 505 (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(scratc1124053520d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uua),Uub))))) # label(fact_ATP_Olambda__305) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 506 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lq(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,Uua),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uub))))) # label(fact_ATP_Olambda__306) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 507 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nr(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,Uub),aa_TPTP_ind_TPTP_ind(scratc1846355601etprod(Uu),Uua))))) # label(fact_ATP_Olambda__307) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 508 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_ny(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,Uub),aa_fun1431113780TP_ind(scratc1180544354_d_Sep(Uu),Uua))))) # label(fact_ATP_Olambda__308) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 509 (all Uu all Uua all Uub aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aTP_Lamm_bb(Uu),Uua),Uub) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,Uu),Uub))) # label(fact_ATP_Olambda__309) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 510 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_io(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_in(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__310) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 511 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ik(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ij(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__311) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 512 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ig(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_if(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__312) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 513 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ic(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ib(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__313) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 514 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gu(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gt(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__314) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 515 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gq(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gp(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__315) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 516 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gm(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gl(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__316) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 517 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gi(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gh(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__317) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 518 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ge(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gd(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__318) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 519 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ga(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fz(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__319) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 520 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fw(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fv(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__320) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 521 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fs(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fr(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__321) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 522 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dh(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dg(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__322) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 523 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dd(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dc(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__323) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 524 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cz(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cy(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__324) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 525 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cv(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cu(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__325) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 526 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bv(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__326) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 527 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__327) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 528 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_nz(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(Uua,aa_TPTP_ind_TPTP_ind(scratc1605393154d_e_in(Uu,Uua),Uub))))) # label(fact_ATP_Olambda__328) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 529 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1913827119d_bool(aTP_Lamm_bk(Uu),Uua),Uub)) <-> (all X3 (gg_TPTP_ind(X3) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,X3),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235704493bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,Uub),X3)),aa_TPTP_ind_TPTP_ind(Uua,X3)))))))) # label(fact_ATP_Olambda__329) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 530 (all Uu all Uua all Uub all Uuc aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_bc(Uu),Uua),Uub),Uuc) = aa_TPTP_ind_TPTP_ind(scratc1235704485bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2075877363_image(Uu,Uua),Uub),Uuc),aa_TPTP_ind_TPTP_ind(scratc1592992946d_soft(Uu,Uua,Uub),Uuc)),scratc14033981ptyset)) # label(fact_ATP_Olambda__330) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 531 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_np(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1605393159d_e_is(Uu),aa_TPTP_ind_TPTP_ind(scratc2118519432_first(Uu,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1102451062d_pair(Uu,Uua),Uub),Uuc))),Uub)))) # label(fact_ATP_Olambda__331) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 532 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_nn(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1605393159d_e_is(Uua),aa_TPTP_ind_TPTP_ind(scratc1919914332second(Uu,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1102451062d_pair(Uu,Uua),Uub),Uuc))),Uuc)))) # label(fact_ATP_Olambda__332) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 533 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_oc(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1605393159d_e_is(Uu),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,Uua),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,Uub),Uuc))))) # label(fact_ATP_Olambda__333) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 534 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_av(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1436154795d_esti(Uu),Uub),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,Uua),Uuc))))) # label(fact_ATP_Olambda__334) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 535 (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(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1605393159d_e_is(Uu),Uub),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,Uua),Uuc))))) # label(fact_ATP_Olambda__335) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 536 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_nv(Uu),Uua),Uub),Uuc)) <-> scratc161856553_is_of(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1102451062d_pair(Uu,Uua),Uub),Uuc),aa_TPT43085870d_bool(aTP_Lamm_nr(Uu),Uua)))) # label(fact_ATP_Olambda__336) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 537 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ax(Uu),Uua),Uub),Uuc)) <-> pp(scratc992146178d_l_ec(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1436154795d_esti(Uu),Uuc),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1436154795d_esti(Uu),Uuc),Uub))))) # label(fact_ATP_Olambda__337) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 538 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ay(Uu),Uua),Uub),Uuc)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc2061193412nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1436154795d_esti(Uu),Uuc),Uua)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1436154795d_esti(Uu),Uuc),Uub))))) # label(fact_ATP_Olambda__338) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 539 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_od(Uu),Uua),Uub),Uuc)) <-> (pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ao,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_oc(Uua),Uub),Uuc))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1605393159d_e_is(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc464188885d_d_Pi,Uu),aTP_Lamm_an(Uua))),Uub),Uuc))))) # label(fact_ATP_Olambda__339) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 540 (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_bu(Uu),Uua),Uub),Uuc)) <-> pp(Uu) & Uuc = Uua | -pp(Uu) & Uuc = Uub))) # label(fact_ATP_Olambda__340) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 541 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bv(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__341) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 542 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gt(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__342) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 543 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gh(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__343) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 544 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gl(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__344) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 545 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fv(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1234542311moreis,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__345) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 546 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fr(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__346) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 547 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gd(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__347) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 548 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dg(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__348) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 549 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dc(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uuc),Uua))))))) # label(fact_ATP_Olambda__349) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 550 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_in(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__350) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 551 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ij(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc166993219_29_ii,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uuc),Uua))))))) # label(fact_ATP_Olambda__351) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 552 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cy(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__352) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 553 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cu(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uuc),Uua))))))) # label(fact_ATP_Olambda__353) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 554 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_if(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__354) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 555 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ib(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1124053520d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uuc),Uua))))))) # label(fact_ATP_Olambda__355) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 556 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fz(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100558699lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__356) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 557 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124775109d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__357) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 558 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gp(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060931009nd_iii,aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1124512706d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__358) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 559 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_of(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1605393159d_e_is(Uu),Uub),Uuc)) -> pp(aa_TPTP_ind_bool(Uua,Uuc)))))) # label(fact_ATP_Olambda__359) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 560 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_bh(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(scratc1605393159d_e_is(Uu),Uub),Uuc)))))) # label(fact_ATP_Olambda__360) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 561 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bf(Uu),Uua),Uub),Uuc)) <-> pp(aa_fun171081125l_bool(scratc1995035769nd_all(Uu),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_be(Uu),Uua),Uub),Uuc))))) # label(fact_ATP_Olambda__361) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.52 562 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aw(Uu),Uua),Uub),Uuc)) <-> pp(aa_fun171081125l_bool(scratc92983736l_some(Uua),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_av(Uu),Uub),Uuc))))) # label(fact_ATP_Olambda__362) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.53 563 (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_be(Uu),Uua),Uub),Uuc),Uud)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc2061193412nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1605393159d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,Uub),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,Uub),Uud))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1605393159d_e_is(Uu),Uuc),Uud))))) # label(fact_ATP_Olambda__363) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.53 564 (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_at(Uu),Uua),Uub),Uuc),Uud)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(Uu,Uuc),Uud)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1605393159d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,Uub),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,Uub),Uud)))))) # label(fact_ATP_Olambda__364) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.53 565 (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_as(Uu),Uua),Uub),Uuc),Uud)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ao,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_fun845057962d_bool(aTP_Lamm_ar(Uu),Uua),Uub),Uuc),Uud))))) # label(fact_ATP_Olambda__365) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.53 566 (all Uu all Uua all Uub all Uuc all Uud (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_fun987228051d_bool(aTP_Lamm_au(Uu),Uua),Uub),Uuc),Uud)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ao,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_at(Uua),Uub),Uuc),Uud))))) # label(fact_ATP_Olambda__366) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.53 567 (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_ba(Uu),Uua),Uub),Uuc),Uud) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1160698401wissel(Uu,Uub),Uuc)),Uud))) # label(fact_ATP_Olambda__367) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.53 568 (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_ar(Uu),Uua),Uub),Uuc),Uud),Uue)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ao,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_TPT985247859d_bool(aa_fun1107270209d_bool(aTP_Lamm_aq(Uu),Uua),Uub),Uuc),Uud),Uue))))) # label(fact_ATP_Olambda__368) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.53 569 (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_ap(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(scratc1605393159d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,Uub),Uuc)),Uue)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1235179703bnd_ap,Uub),Uud)),Uuf))))))) # label(fact_ATP_Olambda__369) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.53 570 (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_aq(Uu),Uua),Uub),Uuc),Uud),Uue),Uuf)) <-> pp(aa_fun171081125l_bool(scratc982322928all_of(aa_TPT43085870d_bool(aTP_Lamm_ao,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_TPT985247859d_bool(aa_TPT125613450d_bool(aTP_Lamm_ap(Uua),Uub),Uuc),Uud),Uue),Uuf))))) # label(fact_ATP_Olambda__370) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.57 571 (all Uu all Uua (gg_TPTP_ind(Uu) -> aa_TPTP_ind_TPTP_ind(aTP_Lamm_an(Uu),Uua) = Uu)) # label(fact_ATP_Olambda__371) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.57 572 (all Uu (gg_TPTP_ind(Uu) -> aa_TPTP_ind_TPTP_ind(aTP_Lamm_ag,Uu) = Uu)) # label(fact_ATP_Olambda__372) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.57 573 (all Uu aa_TPTP_ind_TPTP_ind(aTP_Lamm_ae,Uu) = scratc2101713753nd_nat) # label(fact_ATP_Olambda__373) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.57 574 (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].
% 1.15/1.57 575 (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].
% 1.15/1.57 576 (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].
% 1.15/1.57 577 (all P (gg_bool(P) -> P = fTrue | P = fFalse)) # label(help_fFalse_1_1_T) # label(axiom) # label(non_clause). [assumption].
% 1.15/1.57 578 (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].
% 1.15/1.57 579 (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].
% 1.15/1.57 580 (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].
% 1.15/1.57 581 (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].
% 1.15/1.57 582 (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].
% 1.15/1.57 583 (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].
% 1.15/1.57 584 (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].
% 1.15/1.57 585 (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].
% 1.15/1.57 586 (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].
% 1.15/1.57
% 1.15/1.57 ============================== end of process non-clausal formulas ===
% 1.15/1.57
% 1.15/1.57 ============================== PROCESS INITIAL CLAUSES ===============
% 1.15/1.57
% 1.15/1.57 ============================== PREDICATE ELIMINATION =================
% 1.15/1.57 587 -gg_bool(A) | A = fTrue | A = fFalse # label(help_fFalse_1_1_T) # label(axiom). [clausify(577)].
% 1.15/1.57 588 gg_bool(undefined_bool(bool)) # label(gsy_c_HOL_Oundefined_001t__HOL__Obool) # label(axiom). [assumption].
% 1.15/1.57 589 gg_bool(scratc1665417906_amone(A,B)) # label(gsy_c_Scratch__tptp__translate__54245__29067_ONUM721__thf__4__p_Obnd__amone) # label(axiom). [clausify(1)].
% 1.49/1.74 590 gg_bool(scratc1296795803_d_and(A,B)) # label(gsy_c_Scratch__tptp__translate__54245__29067_ONUM721__thf__4__p_Obnd__d__and) # label(axiom). [clausify(2)].
% 1.49/1.74 591 gg_bool(scratc1404260983_d_not(A)) # label(gsy_c_Scratch__tptp__translate__54245__29067_ONUM721__thf__4__p_Obnd__d__not) # label(axiom). [clausify(3)].
% 1.49/1.74 592 gg_bool(scratc2027491341nd_ec3(A,B,C)) # label(gsy_c_Scratch__tptp__translate__54245__29067_ONUM721__thf__4__p_Obnd__ec3) # label(axiom). [clausify(4)].
% 1.49/1.74 593 gg_bool(scratc992146178d_l_ec(A,B)) # label(gsy_c_Scratch__tptp__translate__54245__29067_ONUM721__thf__4__p_Obnd__l__ec) # label(axiom). [clausify(8)].
% 1.49/1.74 594 gg_bool(scratc2111090376nd_or3(A,B,C)) # label(gsy_c_Scratch__tptp__translate__54245__29067_ONUM721__thf__4__p_Obnd__or3) # label(axiom). [clausify(9)].
% 1.49/1.74 595 gg_bool(aa_bool_bool(A,B)) # label(gsy_c_aa_001t__HOL__Obool_001t__HOL__Obool) # label(axiom). [clausify(10)].
% 1.49/1.74 596 gg_bool(aa_TPTP_ind_bool(A,B)) # label(gsy_c_aa_001t__TPTP____Interpret__Oind_001t__HOL__Obool) # label(axiom). [clausify(11)].
% 1.49/1.74 597 gg_bool(aa_fun171081125l_bool(A,B)) # label(gsy_c_aa_001t__fun_It__TPTP____Interpret__Oind_Mt__HOL__Obool_J_001t__HOL__Obool) # label(hypothesis). [clausify(13)].
% 1.49/1.74 598 gg_bool(fEx_TPTP_ind(A)) # label(gsy_c_fEx_001t__TPTP____Interpret__Oind) # label(axiom). [clausify(16)].
% 1.49/1.74 599 gg_bool(fFalse) # label(gsy_c_fFalse) # label(axiom). [assumption].
% 1.49/1.74 600 gg_bool(fTrue) # label(gsy_c_fTrue) # label(axiom). [assumption].
% 1.49/1.74 Derived: undefined_bool(bool) = fTrue | undefined_bool(bool) = fFalse. [resolve(587,a,588,a)].
% 1.49/1.74 Derived: scratc1665417906_amone(A,B) = fTrue | scratc1665417906_amone(A,B) = fFalse. [resolve(587,a,589,a)].
% 1.49/1.74 Derived: scratc1296795803_d_and(A,B) = fTrue | scratc1296795803_d_and(A,B) = fFalse. [resolve(587,a,590,a)].
% 1.49/1.74 Derived: scratc1404260983_d_not(A) = fTrue | scratc1404260983_d_not(A) = fFalse. [resolve(587,a,591,a)].
% 1.49/1.74 Derived: scratc2027491341nd_ec3(A,B,C) = fTrue | scratc2027491341nd_ec3(A,B,C) = fFalse. [resolve(587,a,592,a)].
% 1.49/1.74 Derived: scratc992146178d_l_ec(A,B) = fTrue | scratc992146178d_l_ec(A,B) = fFalse. [resolve(587,a,593,a)].
% 1.49/1.74 Derived: scratc2111090376nd_or3(A,B,C) = fTrue | scratc2111090376nd_or3(A,B,C) = fFalse. [resolve(587,a,594,a)].
% 1.49/1.74 Derived: aa_bool_bool(A,B) = fTrue | aa_bool_bool(A,B) = fFalse. [resolve(587,a,595,a)].
% 1.49/1.74 Derived: aa_TPTP_ind_bool(A,B) = fTrue | aa_TPTP_ind_bool(A,B) = fFalse. [resolve(587,a,596,a)].
% 1.49/1.74 Derived: aa_fun171081125l_bool(A,B) = fTrue | aa_fun171081125l_bool(A,B) = fFalse. [resolve(587,a,597,a)].
% 1.49/1.74 Derived: fEx_TPTP_ind(A) = fTrue | fEx_TPTP_ind(A) = fFalse. [resolve(587,a,598,a)].
% 1.49/1.74 Derived: fFalse = fTrue | fFalse = fFalse. [resolve(587,a,599,a)].
% 1.49/1.74 Derived: fTrue = fTrue | fTrue = fFalse. [resolve(587,a,600,a)].
% 1.49/1.74 601 scratc1387080968d_r_ec(A,B) | pp(A) # label(fact_def__r__ec) # label(axiom). [clausify(71)].
% 1.49/1.74 602 -scratc1387080968d_r_ec(A,B) | -pp(A) | pp(scratc1404260983_d_not(B)) # label(fact_def__r__ec) # label(axiom). [clausify(71)].
% 1.49/1.74 603 scratc1387080968d_r_ec(A,B) | -pp(scratc1404260983_d_not(B)) # label(fact_def__r__ec) # label(axiom). [clausify(71)].
% 1.49/1.74 604 scratc43453605_l_iff(A,B) | -pp(scratc1296795803_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc2061193412nd_imp,A),B),aa_bool_bool(aa_boo1142376798l_bool(scratc2061193412nd_imp,B),A))) # label(fact_def__l__iff) # label(axiom). [clausify(103)].
% 1.49/1.74 605 -scratc43453605_l_iff(A,B) | pp(scratc1296795803_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc2061193412nd_imp,A),B),aa_bool_bool(aa_boo1142376798l_bool(scratc2061193412nd_imp,B),A))) # label(fact_def__l__iff) # label(axiom). [clausify(103)].
% 1.49/1.74 606 scratc642846697d_orec(A,B) | -pp(scratc1296795803_d_and(aa_bool_bool(scratc992802183d_l_or(A),B),scratc992146178d_l_ec(A,B))) # label(fact_def__orec) # label(axiom). [clausify(104)].
% 1.49/1.74 607 -scratc642846697d_orec(A,B) | pp(scratc1296795803_d_and(aa_bool_bool(scratc992802183d_l_or(A),B),scratc992146178d_l_ec(A,B))) # label(fact_def__orec) # label(axiom). [clausify(104)].
% 1.49/1.74 608 scratc28846038nd_wel(A) | -pp(scratc1404260983_d_not(scratc1404260983_d_not(A))) # label(fact_def__wel) # label(axiom). [clausify(109)].
% 2.21/2.46 609 -scratc28846038nd_wel(A) | pp(scratc1404260983_d_not(scratc1404260983_d_not(A))) # label(fact_def__wel) # label(axiom). [clausify(109)].
% 2.21/2.46 610 -scratc28846038nd_wel(A) | pp(A) # label(fact_l__et) # label(axiom). [clausify(161)].
% 2.21/2.46 Derived: pp(A) | -pp(scratc1404260983_d_not(scratc1404260983_d_not(A))). [resolve(610,a,608,a)].
% 2.21/2.46
% 2.21/2.46 ============================== end predicate elimination =============
% 2.21/2.46
% 2.21/2.46 Auto_denials: (non-Horn, no changes).
% 2.21/2.46
% 2.21/2.46 Term ordering decisions:
% 2.21/2.46 Function symbol KB weights: aTP_Lamm_a=1. scratc1124053520d_n_is=1. scratc2060931009nd_iii=1. scratc1235704493bnd_in=1. scratc166993219_29_ii=1. scratc64948859rdsucc=1. scratc1235179703bnd_ap=1. scratc1100558699lessis=1. scratc1234542311moreis=1. scratc1852380907nd_n_1=1. aTP_Lamm_ao=1. scratc14033981ptyset=1. scratc2125655817_Sigma=1. scratc2101713753nd_nat=1. scratc2102238544nd_nis=1. scratc464188885d_d_Pi=1. scratc836808378n_some=1. fFalse=1. scratc1058205469_power=1. scratc48500759_nat_p=1. scratc2061193412nd_imp=1. scratc730446679d_repl=1. fTrue=1. scratc721769627_n_all=1. scratc1283250722d_pair=1. aTP_Lamm_ae=1. scratc105029677d_Subq=1. scratc1186719307_proj0=1. scratc1565467335_union=1. scratc1861893975closed=1. aTP_Lamm_ak=1. scratc1124053515d_n_in=1. scratc1186719308_proj1=1. aTP_Lamm_aj=1. aTP_Lamm_ni=1. scratc1872770271closed=1. scratc2037503285closed=1. aTP_Lamm_ey=1. aTP_Lamm_fa=1. aTP_Lamm_fc=1. aTP_Lamm_fe=1. aTP_Lamm_fg=1. aTP_Lamm_fi=1. aTP_Lamm_fk=1. aTP_Lamm_fm=1. aTP_Lamm_kh=1. aTP_Lamm_kj=1. aTP_Lamm_kl=1. aTP_Lamm_kn=1. aTP_Lamm_kp=1. aTP_Lamm_kr=1. aTP_Lamm_kt=1. aTP_Lamm_kv=1. aTP_Lamm_kx=1. aTP_Lamm_kz=1. aTP_Lamm_lb=1. aTP_Lamm_ld=1. aTP_Lamm_mz=1. aTP_Lamm_nd=1. aTP_Lamm_ne=1. scratc1034314420closed=1. scratc1438109425_prop2=1. scratc356374521_omega=1. scratc636391601_prop2=1. scratc831786472d_Inj1=1. aTP_Lamm_ac=1. aTP_Lamm_al=1. aTP_Lamm_bl=1. aTP_Lamm_bn=1. aTP_Lamm_bo=1. aTP_Lamm_bx=1. aTP_Lamm_ca=1. aTP_Lamm_cd=1. aTP_Lamm_cg=1. aTP_Lamm_cj=1. aTP_Lamm_cm=1. aTP_Lamm_cp=1. aTP_Lamm_cs=1. aTP_Lamm_cw=1. aTP_Lamm_da=1. aTP_Lamm_de=1. aTP_Lamm_di=1. aTP_Lamm_dl=1. aTP_Lamm_do=1. aTP_Lamm_dr=1. aTP_Lamm_du=1. aTP_Lamm_dx=1. aTP_Lamm_ea=1. aTP_Lamm_ed=1. aTP_Lamm_eg=1. aTP_Lamm_ei=1. aTP_Lamm_ek=1. aTP_Lamm_en=1. aTP_Lamm_eq=1. aTP_Lamm_et=1. aTP_Lamm_ew=1. aTP_Lamm_ft=1. aTP_Lamm_fx=1. aTP_Lamm_gb=1. aTP_Lamm_gf=1. aTP_Lamm_gj=1. aTP_Lamm_gn=1. aTP_Lamm_gr=1. aTP_Lamm_gv=1. aTP_Lamm_gy=1. aTP_Lamm_hb=1. aTP_Lamm_he=1. aTP_Lamm_hh=1. aTP_Lamm_hk=1. aTP_Lamm_hn=1. aTP_Lamm_hq=1. aTP_Lamm_ht=1. aTP_Lamm_hw=1. aTP_Lamm_hz=1. aTP_Lamm_id=1. aTP_Lamm_ih=1. aTP_Lamm_il=1. aTP_Lamm_ip=1. aTP_Lamm_is=1. aTP_Lamm_iv=1. aTP_Lamm_iy=1. aTP_Lamm_jb=1. aTP_Lamm_je=1. aTP_Lamm_jh=1. aTP_Lamm_jl=1. aTP_Lamm_jn=1. aTP_Lamm_jq=1. aTP_Lamm_jt=1. aTP_Lamm_jw=1. aTP_Lamm_jz=1. aTP_Lamm_kc=1. aTP_Lamm_kf=1. aTP_Lamm_lf=1. aTP_Lamm_lh=1. aTP_Lamm_lj=1. aTP_Lamm_ll=1. aTP_Lamm_ln=1. aTP_Lamm_lr=1. aTP_Lamm_lt=1. aTP_Lamm_lw=1. aTP_Lamm_lz=1. aTP_Lamm_mb=1. aTP_Lamm_md=1. aTP_Lamm_mg=1. aTP_Lamm_mi=1. aTP_Lamm_ml=1. aTP_Lamm_mo=1. aTP_Lamm_mr=1. aTP_Lamm_mu=1. aTP_Lamm_mw=1. aTP_Lamm_mx=1. aTP_Lamm_nc=1. fconj=1. fimplies=1. scratc1201836040_cond2=1. scratc1438109424_prop1=1. scratc636391600_prop1=1. scratc6678795d_Sing=1. scratc831786471d_Inj0=1. scratc837561888_n_one=1. aTP_Lamm_br=1. aTP_Lamm_by=1. aTP_Lamm_cb=1. aTP_Lamm_ce=1. aTP_Lamm_ch=1. aTP_Lamm_ck=1. aTP_Lamm_cn=1. aTP_Lamm_cq=1. aTP_Lamm_ct=1. aTP_Lamm_cx=1. aTP_Lamm_db=1. aTP_Lamm_df=1. aTP_Lamm_dj=1. aTP_Lamm_dm=1. aTP_Lamm_dp=1. aTP_Lamm_ds=1. aTP_Lamm_dv=1. aTP_Lamm_dy=1. aTP_Lamm_eb=1. aTP_Lamm_ee=1. aTP_Lamm_eh=1. aTP_Lamm_ej=1. aTP_Lamm_el=1. aTP_Lamm_em=1. aTP_Lamm_eo=1. aTP_Lamm_ep=1. aTP_Lamm_er=1. aTP_Lamm_es=1. aTP_Lamm_eu=1. aTP_Lamm_ev=1. aTP_Lamm_ex=1. aTP_Lamm_ez=1. aTP_Lamm_fb=1. aTP_Lamm_fd=1. aTP_Lamm_ff=1. aTP_Lamm_fh=1. aTP_Lamm_fj=1. aTP_Lamm_fl=1. aTP_Lamm_fn=1. aTP_Lamm_fo=1. aTP_Lamm_fp=1. aTP_Lamm_fq=1. aTP_Lamm_fu=1. aTP_Lamm_fy=1. aTP_Lamm_gc=1. aTP_Lamm_gg=1. aTP_Lamm_gk=1. aTP_Lamm_go=1. aTP_Lamm_gs=1. aTP_Lamm_gw=1. aTP_Lamm_gz=1. aTP_Lamm_hc=1. aTP_Lamm_hf=1. aTP_Lamm_hi=1. aTP_Lamm_hl=1. aTP_Lamm_ho=1. aTP_Lamm_hr=1. aTP_Lamm_hu=1. aTP_Lamm_hx=1. aTP_Lamm_ia=1. aTP_Lamm_ie=1. aTP_Lamm_ii=1. aTP_Lamm_im=1. aTP_Lamm_iq=1. aTP_Lamm_it=1. aTP_Lamm_iw=1. aTP_Lamm_iz=1. aTP_Lamm_jc=1. aTP_Lamm_jf=1. aTP_Lamm_ji=1. aTP_Lamm_jj=1. aTP_Lamm_jk=1. aTP_Lamm_jm=1. aTP_Lamm_jo=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_ki=1. aTP_Lamm_kk=1. aTP_Lamm_km=1. aTP_Lamm_ko=1. aTP_Lamm_kq=1. aTP_Lamm_ks=1. aTP_Lamm_ku=1. aTP_Lamm_kw=1. aTP_Lamm_ky=1. aTP_Lamm_la=1. aTP_Lamm_lc=1. aTP_Lamm_le=1. aTP_Lamm_lg=1. aTP_Lamm_li=1. aTP_Lamm_lk=1. aTP_Lamm_lm=1. aTP_Lamm_lo=1. aTP_Lamm_ls=1. aTP_Lamm_lu=1. aTP_Lamm_lx=1. aTP_Lamm_ma=1. aTP_Lamm_mc=1. aTP_Lamm_me=1. aTP_Lamm_mh=1. aTP_Lamm_mj=1. aTP_Lamm_mk=1. aTP_Lamm_mm=1. aTP_Lamm_mn=1. aTP_Lamm_mp=1. aTP_Lamm_mq=1. aTP_Lamm_ms=1. aTP_Lamm_mt=1. aTP_Lamm_mv=1. aTP_Lamm_my=1. aTP_Lamm_na=1. aTP_Lamm_nb=1. aTP_Lamm_nf=1. aTP_Lamm_ng=1. aTP_Lamm_nh=1. aTP_Lamm_nk=1. aTP_Lamm_oh=1. fequal_TPTP_ind=1. scratc1197657749_d_Unj=1. scratc1201836039_cond1=1. scratc2100139371nd_nIn=1. scratc481557541univof=1. aTP_Lamm_ad=1. aTP_Lamm_ag=1. aTP_Lamm_am=1. aTP_Lamm_bp=1. aTP_Lamm_bq=1. bool=1. scratc1132876793428_id=1. scratc1187112905_prop4=1. scratc1374914466d_plus=1. scratc1430718827_prop1=1. scratc1438109427_prop4=1. scratc1607150898_prop1=1. scratc1813115950_prop1=1. scratc1937362885_empty=1. scratc2026471599_prop1=1. scratc2069182478pair_p=1. scratc253994477_prop1=1. scratc299628968nempty=1. scratc379474533munion=1. scratc48029425_prop1=1. scratc850324382_times=1. scratc1145206569_428_g=1. scratc320754243d_i1_s=1. scratc391313641d_24_g=1. tPTP_ind=1. aa_TPT43085870d_bool=1. aa_TPTP_ind_bool=1. aa_TPTP_ind_TPTP_ind=1. aa_fun171081125l_bool=1. aa_TPT60673477d_bool=1. aa_TPT1424761345TP_ind=1. aa_fun277296641TP_ind=1. aa_TPT494704832TP_ind=1. aa_bool_bool=1. aa_fun1584354236d_bool=1. scratc1296795803_d_and=1. aa_fun1431113780TP_ind=1. aa_boo1142376798l_bool=1. aa_TPT1123896796d_bool=1. scratc1235704485bnd_if=1. scratc992146178d_l_ec=1. aa_fun1212484691d_bool=1. aa_TPT985247859d_bool=1. scratc1605393154d_e_in=1. scratc1102451062d_pair=1. scratc2061258999nd_ind=1. aa_fun987228051d_bool=1. scratc1665417906_amone=1. scratc1919914332second=1. scratc2075877363_image=1. scratc2118519432_first=1. aa_TPT125613450d_bool=1. scratc2102632133nd_non=1. aa_fun1913827119d_bool=1. scratc418998131d_anec=1. aa_TPT1791839040TP_ind=1. aa_fun1107270209d_bool=1. aa_fun845057962d_bool=1. scratc2027491402nd_ecp=1. scratc2047233427eplSep=1. scratc482540487_ecelt=1. scratc481950096_ecect=1. aa_TPT1781712639TP_ind=1. aa_TPT2142672771l_bool=1. aa_fun1235454963TP_ind=1. cOMBB_658106424TP_ind=1. cOMBS_2003118649l_bool=1. scratc1160698401wissel=1. scratc1292671604ectset=1. scratc1483772853etprop=1. scratc19752028_fixfu=1. scratc2027491406nd_ect=1. scratc2111287238nd_out=1. scratc780645078fixfu2=1. scratc1177469727ectelt=1. scratc1398788950unmore=1. scratc1610680200nverse=1. scratc222359965d_invf=1. scratc226096496d_tofs=1. f1=1. f12=1. f13=1. f20=1. f24=1. scratc982322928all_of=1. scratc1124512706d_n_pl=1. scratc1124775109d_n_ts=1. scratc1605393159d_e_is=1. scratc1404260983_d_not=1. scratc1180544354_d_Sep=1. scratc1436154795d_esti=1. scratc92983736l_some=1. scratc1295930928ffprop=1. scratc1995035769nd_all=1. scratc992802183d_l_or=1. scratc2110828030nd_one=1. scratc735790520_rec_G=1. aTP_Lamm_an=1. aTP_Lamm_nr=1. aTP_Lamm_aa=1. aTP_Lamm_ah=1. aTP_Lamm_ap=1. aTP_Lamm_az=1. aTP_Lamm_bh=1. aTP_Lamm_bu=1. aTP_Lamm_bv=1. aTP_Lamm_cu=1. aTP_Lamm_cy=1. aTP_Lamm_dc=1. aTP_Lamm_dg=1. aTP_Lamm_fr=1. aTP_Lamm_fv=1. aTP_Lamm_fz=1. aTP_Lamm_gd=1. aTP_Lamm_gh=1. aTP_Lamm_gl=1. aTP_Lamm_gp=1. aTP_Lamm_gt=1. aTP_Lamm_ib=1. aTP_Lamm_if=1. aTP_Lamm_ij=1. aTP_Lamm_in=1. aTP_Lamm_jp=1. aTP_Lamm_js=1. aTP_Lamm_jv=1. aTP_Lamm_jy=1. aTP_Lamm_kb=1. aTP_Lamm_ke=1. aTP_Lamm_lp=1. aTP_Lamm_nj=1. aTP_Lamm_of=1. scratc221113590d_incl=1. aTP_Lamm_at=1. aTP_Lamm_bd=1. aTP_Lamm_bg=1. aTP_Lamm_bk=1. aTP_Lamm_bz=1. aTP_Lamm_cc=1. aTP_Lamm_cf=1. aTP_Lamm_ciCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------