TSTP Solution File: NUM767+4 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : NUM767+4 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n027.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 13:31:54 EDT 2022
% Result : Timeout 300.06s 300.34s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM767+4 : TPTP v8.1.0. Released v7.3.0.
% 0.06/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jul 5 15:26:57 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.24/1.63 ============================== Prover9 ===============================
% 1.24/1.63 Prover9 (32) version 2009-11A, November 2009.
% 1.24/1.63 Process 5069 was started by sandbox on n027.cluster.edu,
% 1.24/1.63 Tue Jul 5 15:26:58 2022
% 1.24/1.63 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_4915_n027.cluster.edu".
% 1.24/1.63 ============================== end of head ===========================
% 1.24/1.63
% 1.24/1.63 ============================== INPUT =================================
% 1.24/1.63
% 1.24/1.63 % Reading from file /tmp/Prover9_4915_n027.cluster.edu
% 1.24/1.63
% 1.24/1.63 set(prolog_style_variables).
% 1.24/1.63 set(auto2).
% 1.24/1.63 % set(auto2) -> set(auto).
% 1.24/1.63 % set(auto) -> set(auto_inference).
% 1.24/1.63 % set(auto) -> set(auto_setup).
% 1.24/1.63 % set(auto_setup) -> set(predicate_elim).
% 1.24/1.63 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.24/1.63 % set(auto) -> set(auto_limits).
% 1.24/1.63 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.24/1.63 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.24/1.63 % set(auto) -> set(auto_denials).
% 1.24/1.63 % set(auto) -> set(auto_process).
% 1.24/1.63 % set(auto2) -> assign(new_constants, 1).
% 1.24/1.63 % set(auto2) -> assign(fold_denial_max, 3).
% 1.24/1.63 % set(auto2) -> assign(max_weight, "200.000").
% 1.24/1.63 % set(auto2) -> assign(max_hours, 1).
% 1.24/1.63 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.24/1.63 % set(auto2) -> assign(max_seconds, 0).
% 1.24/1.63 % set(auto2) -> assign(max_minutes, 5).
% 1.24/1.63 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.24/1.63 % set(auto2) -> set(sort_initial_sos).
% 1.24/1.63 % set(auto2) -> assign(sos_limit, -1).
% 1.24/1.63 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.24/1.63 % set(auto2) -> assign(max_megs, 400).
% 1.24/1.63 % set(auto2) -> assign(stats, some).
% 1.24/1.63 % set(auto2) -> clear(echo_input).
% 1.24/1.63 % set(auto2) -> set(quiet).
% 1.24/1.63 % set(auto2) -> clear(print_initial_clauses).
% 1.24/1.63 % set(auto2) -> clear(print_given).
% 1.24/1.63 assign(lrs_ticks,-1).
% 1.24/1.63 assign(sos_limit,10000).
% 1.24/1.63 assign(order,kbo).
% 1.24/1.63 set(lex_order_vars).
% 1.24/1.63 clear(print_given).
% 1.24/1.63
% 1.24/1.63 % formulas(sos). % not echoed (1070 formulas)
% 1.24/1.63
% 1.24/1.63 ============================== end of input ==========================
% 1.24/1.63
% 1.24/1.63 % From the command line: assign(max_seconds, 300).
% 1.24/1.63
% 1.24/1.63 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.24/1.63
% 1.24/1.63 % Formulas that are not ordinary clauses:
% 1.24/1.63 1 (all B_1 all B_2 gg_bool(scratc762669917_amone(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__60989__4052_ONUM767__thf__4__p_Obnd__amone) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 2 (all B_1 all B_2 gg_bool(scratc940542640_d_and(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__60989__4052_ONUM767__thf__4__p_Obnd__d__and) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 3 (all B_1 gg_bool(scratc1048007820_d_not(B_1))) # label(gsy_c_Scratch__tptp__translate__60989__4052_ONUM767__thf__4__p_Obnd__d__not) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 4 (all B_1 all B_2 all B_3 gg_bool(scratc113548856nd_ec3(B_1,B_2,B_3))) # label(gsy_c_Scratch__tptp__translate__60989__4052_ONUM767__thf__4__p_Obnd__ec3) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 5 (all B_1 all B_2 gg_TPTP_ind(scratc113548921nd_ect(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__60989__4052_ONUM767__thf__4__p_Obnd__ect) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 6 (all B_1 gg_TPTP_ind(scratc114401707nd_eps(B_1))) # label(gsy_c_Scratch__tptp__translate__60989__4052_ONUM767__thf__4__p_Obnd__eps) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 7 (all B_1 all B_2 gg_TPTP_ind(scratc147316514nd_ind(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__60989__4052_ONUM767__thf__4__p_Obnd__ind) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 8 (all B_1 all B_2 gg_bool(scratc89398189d_l_ec(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__60989__4052_ONUM767__thf__4__p_Obnd__l__ec) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 9 (all B_1 all B_2 all B_3 gg_bool(scratc197147891nd_or3(B_1,B_2,B_3))) # label(gsy_c_Scratch__tptp__translate__60989__4052_ONUM767__thf__4__p_Obnd__or3) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 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].
% 1.24/1.63 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].
% 1.24/1.63 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].
% 1.24/1.63 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].
% 1.24/1.63 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].
% 1.24/1.63 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].
% 1.24/1.63 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].
% 1.24/1.63 17 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc221108733d_n_fr,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(aa_TPTP_ind_TPTP_ind(scratc189083241nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc105418608nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(aa_TPTP_ind_TPTP_ind(scratc189083241nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc105418608nd_den,X)))),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(aa_TPTP_ind_TPTP_ind(scratc105418608nd_den,X)),aa_TPTP_ind_TPTP_ind(scratc105418608nd_den,Xa)))) # label(fact_def__n__pf) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 18 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744043138lesseq,X),Xa)) <-> pp(aa_bool_bool(scratc90054194d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,X),Xa))))) # label(fact_def__lesseq) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 19 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424383_moreq,X),Xa)) <-> pp(aa_bool_bool(scratc90054194d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,X),Xa))))) # label(fact_def__moreq) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 20 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(aa_TPTP_ind_TPTP_ind(scratc189083241nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc105418608nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(aa_TPTP_ind_TPTP_ind(scratc189083241nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc105418608nd_den,X)))))) # label(fact_def__lessf) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 21 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(aa_TPTP_ind_TPTP_ind(scratc189083241nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc105418608nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(aa_TPTP_ind_TPTP_ind(scratc189083241nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc105418608nd_den,X)))))) # label(fact_def__moref) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 22 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(aa_TPTP_ind_TPTP_ind(scratc189083241nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc105418608nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(aa_TPTP_ind_TPTP_ind(scratc189083241nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc105418608nd_den,X)))))) # label(fact_def__n__eq) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 23 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1928306192eft_f2(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc259641604d_left(X,Xa,Xb),aa_TPTP_ind_TPTP_ind(scratc1928306191eft_f1(X,Xa,Xb),Xc))) # label(fact_def__left__f2) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 24 (all X all Xa all Xb scratc1928306191eft_f1(X,Xa,Xb) = scratc259641604d_left(X,Xb,Xa)) # label(fact_def__left__f1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 25 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1914042879_right(X,Xa,Xb),Xc) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307391646_Sigma,aa_TPTP_ind_TPTP_ind(scratc544384005_d_1to,Xb)),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ae(Xa),Xb),Xc))) # label(fact_def__right) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 26 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc259641604d_left(X,Xa,Xb),Xc) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307391646_Sigma,aa_TPTP_ind_TPTP_ind(scratc544384005_d_1to,Xb)),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_af(Xa),Xb),Xc))) # label(fact_def__left) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 27 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1066650093ght1to(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc587022013d_outn(aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(X),aa_TPTP_ind_TPTP_ind(scratc147316524nd_inn(Xa),Xb)))) # label(fact_def__right1to) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 28 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1046693544eft1to(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc587022013d_outn(X),aa_TPTP_ind_TPTP_ind(scratc147316524nd_inn(Xa),Xb))) # label(fact_def__left1to) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 29 (all X aa_TPTP_ind_TPTP_ind(scratc1120352435d_xout,X) = aa_TPTP_ind_TPTP_ind(scratc587022013d_outn(X),X)) # label(fact_def__xout) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 30 (all X aa_TPTP_ind_TPTP_ind(scratc499847588d_1out,X) = aa_TPTP_ind_TPTP_ind(scratc587022013d_outn(X),scratc1770787712nd_n_1)) # label(fact_def__d__1out) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 31 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1631720310air_q0(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1997330234_pair1(X),aa_TPTP_ind_TPTP_ind(scratc143169982first1(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc52578560econd1(X),Xa))) # label(fact_def__pair__q0) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 32 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc52578560econd1(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Xa),scratc217697587d_n_2t)) # label(fact_def__second1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 33 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc143169982first1(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Xa),scratc217631988d_n_1t)) # label(fact_def__first1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 34 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1997330234_pair1(X),Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307391646_Sigma,aa_TPTP_ind_TPTP_ind(scratc544384005_d_1to,scratc1770787713nd_n_2)),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ag(X),Xa),Xb))) # label(fact_def__pair1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 35 (all X aa_TPTP_ind_TPTP_ind(scratc595551156r1type,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1708924544d_d_Pi,aa_TPTP_ind_TPTP_ind(scratc544384005_d_1to,scratc1770787713nd_n_2)),aTP_Lamm_ah(X))) # label(fact_def__pair1type) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 36 (all X scratc147316524nd_inn(X) = scratc702645165d_e_in(scratc187771268nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ai,X))) # label(fact_def__inn) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 37 (all X scratc587022013d_outn(X) = scratc197344753nd_out(scratc187771268nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ai,X))) # label(fact_def__outn) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 38 (all X aa_TPTP_ind_TPTP_ind(scratc544384005_d_1to,X) = aa_fun1431113780TP_ind(scratc824291191_d_Sep(scratc187771268nd_nat),aa_TPT43085870d_bool(aTP_Lamm_ai,X))) # label(fact_def__d__1to) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 39 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc221567922d_n_mn(X),Xa) = scratc147316514nd_ind(scratc187771268nd_nat,aa_TPT43085870d_bool(scratc477666757ffprop(X),Xa))) # label(fact_def__n__mn) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 40 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1667810147_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(X),Xa)),Xb)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(X),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Xa),Xb)))))) # label(fact_def__d__431__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 41 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1079447972_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(X),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Xa),Xb))),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(X),Xb)))))) # label(fact_def__d__430__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 42 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc685544282_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Xa),X))))) # label(fact_def__d__429__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 43 (all X scratc222027120d_n_ts(X) = aa_TPT1424761345TP_ind(scratc815173580bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2095060041_times,X))) # label(fact_def__n__ts) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 44 (all X aa_TPTP_ind_TPTP_ind(scratc2095060041_times,X) = scratc147316514nd_ind(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1708924544d_d_Pi,scratc187771268nd_nat),aTP_Lamm_aj),aa_TPT43085870d_bool(scratc97182108_prop2,X))) # label(fact_def__times) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 45 (all X aa_TPTP_ind_TPTP_ind(scratc187634900_428_g,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307391646_Sigma,scratc187771268nd_nat),aTP_Lamm_ak(X))) # label(fact_def__d__428__g) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 46 (all X (pp(aa_TPTP_ind_bool(scratc97182110_prop4,X)) <-> pp(aa_fun171081125l_bool(scratc1306285283l_some(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1708924544d_d_Pi,scratc187771268nd_nat),aTP_Lamm_aj)),aa_TPT43085870d_bool(scratc97182108_prop2,X))))) # label(fact_def__d__428__prop4) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 47 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc97182108_prop2,X),Xa)) <-> pp(scratc940542640_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Xa),scratc1770787712nd_n_1)),X),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc97182107_prop1,X),Xa))))) # label(fact_def__d__428__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 48 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc97182107_prop1,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc365516464_n_all,aa_TPT43085870d_bool(aTP_Lamm_am(X),Xa))))) # label(fact_def__d__428__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 49 (all X all Xa (pp(aa_TPTP_ind_bool(scratc180034549nd_min(X),Xa)) <-> pp(scratc940542640_d_and(aa_TPTP_ind_bool(scratc221502311d_n_lb(X),Xa),aa_TPTP_ind_bool(X,Xa))))) # label(fact_def__min) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 50 (all X all Xa (pp(aa_TPTP_ind_bool(scratc221502311d_n_lb(X),Xa)) <-> pp(aa_fun171081125l_bool(scratc365516464_n_all,aa_TPT43085870d_bool(scratc1418434102lbprop(X),Xa))))) # label(fact_def__n__lb) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 51 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1418434102lbprop(X),Xa),Xb)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc147250927nd_imp,aa_TPTP_ind_bool(X,Xb)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Xa),Xb))))) # label(fact_def__lbprop) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 52 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,X),Xa)) <-> pp(aa_bool_bool(scratc90054194d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,X),Xa))))) # label(fact_def__lessis) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 53 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,X),Xa)) <-> pp(aa_bool_bool(scratc90054194d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,X),Xa))))) # label(fact_def__moreis) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 54 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097702400_prop1,X),Xa)) <-> pp(scratc197147891nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,X),Xa),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,X),Xa),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,X),Xa))))) # label(fact_def__d__29__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 55 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc2050109925n_some,aa_TPT43085870d_bool(scratc477666757ffprop(Xa),X))))) # label(fact_def__iii) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 56 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc2050109925n_some,aa_TPT43085870d_bool(scratc477666757ffprop(X),Xa))))) # label(fact_def__d__29__ii) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 57 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc477666757ffprop(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,X),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Xa),Xb))))) # label(fact_def__diffprop) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 58 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc509340225_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc188296059nd_nis,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(X),Xb))))) # label(fact_def__d__28__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 59 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2068461698_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc188296059nd_nis,Xa),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(X),Xa))))) # label(fact_def__d__27__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 60 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1480099523_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Xa),X))))) # label(fact_def__d__26__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 61 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc891737348_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(X),Xa)),Xb)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(X),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Xa),Xb)))))) # label(fact_def__d__25__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 62 (all X scratc221764717d_n_pl(X) = aa_TPT1424761345TP_ind(scratc815173580bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1293321271d_plus,X))) # label(fact_def__n__pl) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 63 (all X aa_TPTP_ind_TPTP_ind(scratc1293321271d_plus,X) = scratc147316514nd_ind(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1708924544d_d_Pi,scratc187771268nd_nat),aTP_Lamm_aj),aa_TPT43085870d_bool(scratc303375174_prop2,X))) # label(fact_def__plus) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 64 (all X aa_TPTP_ind_TPTP_ind(scratc1720533118d_24_g,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307391646_Sigma,scratc187771268nd_nat),aTP_Lamm_an(X))) # label(fact_def__d__24__g) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 65 (all X (pp(aa_TPTP_ind_bool(scratc284364916_prop4,X)) <-> pp(aa_fun171081125l_bool(scratc1306285283l_some(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1708924544d_d_Pi,scratc187771268nd_nat),aTP_Lamm_aj)),aa_TPT43085870d_bool(scratc303375174_prop2,X))))) # label(fact_def__prop4) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 66 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc284364915_prop3(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,X),Xb)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Xa),Xb))))) # label(fact_def__prop3) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 67 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc303375174_prop2,X),Xa)) <-> pp(scratc940542640_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Xa),scratc1770787712nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,X)),aa_TPTP_ind_bool(scratc303375173_prop1,Xa))))) # label(fact_def__d__24__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 68 (all X (pp(aa_TPTP_ind_bool(scratc303375173_prop1,X)) <-> pp(aa_fun171081125l_bool(scratc365516464_n_all,aa_TPT43085870d_bool(aTP_Lamm_ao,X))))) # label(fact_def__d__24__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 69 (all X (pp(aa_TPTP_ind_bool(scratc1862496646_prop1,X)) <-> pp(aa_bool_bool(scratc90054194d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,X),scratc1770787712nd_n_1)),aa_fun171081125l_bool(scratc2050109925n_some,aa_TPT43085870d_bool(aTP_Lamm_ap,X)))))) # label(fact_def__d__23__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 70 (all X (pp(aa_TPTP_ind_bool(scratc1274134471_prop1,X)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc188296059nd_nis,aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,X)),X)))) # label(fact_def__d__22__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 71 (all X (pp(aa_TPTP_ind_bool(scratc299088051_cond2,X)) <-> pp(aa_fun171081125l_bool(scratc365516464_n_all,aa_TPT43085870d_bool(aTP_Lamm_aq,X))))) # label(fact_def__cond2) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 72 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc188296059nd_nis,X),Xa)) <-> pp(scratc1048007820_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,X),Xa))))) # label(fact_def__nis) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 73 (all X all Xa all Xb all Xc all Xd scratc207901764indeq2(X,Xa,Xb,Xc,Xd) = aa_TPT1424761345TP_ind(scratc1978369902_indeq(X,Xa,Xb),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc386690882d_11_i(X,Xa,Xb),Xc),Xd))) # label(fact_def__indeq2) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 74 (all X all Xa all Xb scratc386690882d_11_i(X,Xa,Xb) = scratc1978369902_indeq(X,Xa,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1708924544d_d_Pi,X),aTP_Lamm_ah(Xb)))) # label(fact_def__d__11__i) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 75 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc424391915fixfu2(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_fun987228051d_bool(aTP_Lamm_aw(X),Xa),Xb),Xc))))) # label(fact_def__fixfu2) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 76 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1978369902_indeq(X,Xa,Xb),Xc),Xd) = scratc147316514nd_ind(Xb,aa_TPT43085870d_bool(scratc284364914_prop2(X,Xa,Xb,Xc),Xd))) # label(fact_def__indeq) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 77 (all X all Xa all Xb all Xc all Xd all Xe (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc284364914_prop2(X,Xa,Xb,Xc),Xd),Xe)) <-> pp(aa_fun171081125l_bool(scratc1306285283l_some(X),aa_TPT43085870d_bool(scratc850697800_prop1(X,Xa,Xb,Xc,Xd),Xe))))) # label(fact_def__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 78 (all X all Xa all Xb all Xc all Xd all Xe all Xf (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc850697800_prop1(X,Xa,Xb,Xc,Xd),Xe),Xf)) <-> pp(scratc940542640_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1354561600d_esti(X),Xf),aa_TPTP_ind_TPTP_ind(scratc1726685755_ecect(X,Xa),Xd)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc702645170d_e_is(Xb),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Xc),Xf)),Xe))))) # label(fact_def__d__10__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 79 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1264487687_fixfu(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_fun987228051d_bool(aTP_Lamm_ay(X),Xa),Xb),Xc))))) # label(fact_def__fixfu) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 80 (all X all Xa scratc1726685755_ecect(X,Xa) = scratc702645165d_e_in(aa_TPTP_ind_TPTP_ind(scratc155457480_power,X),scratc337404936d_anec(X,Xa))) # label(fact_def__ecect) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 81 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc821216564ectelt(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc936418441ectset(X,Xa),aa_TPTP_ind_TPTP_ind(scratc1727276146_ecelt(X,Xa),Xb))) # label(fact_def__ectelt) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 82 (all X all Xa scratc936418441ectset(X,Xa) = scratc197344753nd_out(aa_TPTP_ind_TPTP_ind(scratc155457480_power,X),scratc337404936d_anec(X,Xa))) # label(fact_def__ectset) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 83 (all X all Xa scratc113548921nd_ect(X,Xa) = aa_fun1431113780TP_ind(scratc824291191_d_Sep(aa_TPTP_ind_TPTP_ind(scratc155457480_power,X)),scratc337404936d_anec(X,Xa))) # label(fact_def__ect) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 84 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(scratc337404936d_anec(X,Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1306285283l_some(X),aa_TPT43085870d_bool(scratc113548917nd_ecp(X,Xa),Xb))))) # label(fact_def__anec) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 85 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc113548917nd_ecp(X,Xa),Xb),Xc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc702645170d_e_is(aa_TPTP_ind_TPTP_ind(scratc155457480_power,X)),Xb),aa_TPTP_ind_TPTP_ind(scratc1727276146_ecelt(X,Xa),Xc))))) # label(fact_def__ecp) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 86 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1727276146_ecelt(X,Xa),Xb) = aa_fun1431113780TP_ind(scratc824291191_d_Sep(X),aa_TPT43085870d_bool(Xa,Xb))) # label(fact_def__ecelt) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 87 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1042535787unmore(X,Xa),Xb) = aa_fun1431113780TP_ind(scratc824291191_d_Sep(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ba(X),Xa),Xb))) # label(fact_def__unmore) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 88 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1784045770etprop(X,Xa),Xb),Xc)) <-> pp(scratc940542640_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1354561600d_esti(X),Xc),Xa),scratc1048007820_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1354561600d_esti(X),Xc),Xb)))))) # label(fact_def__nissetprop) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 89 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc888189498t_disj(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc81093284nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bb(X),Xa),Xb))))) # label(fact_def__st__disj) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 90 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc139520395d_incl(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc81093284nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bc(X),Xa),Xb))))) # label(fact_def__incl) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 91 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1628848445nempty,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1306285283l_some(X),aa_TPT43085870d_bool(aTP_Lamm_bd(X),Xa))))) # label(fact_def__nonempty) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 92 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1034614896_empty,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X)),scratc188689648nd_non(X,aa_TPT43085870d_bool(aTP_Lamm_bd(X),Xa)))))) # label(fact_def__empty) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 93 (all X scratc1354561600d_esti(X) = scratc815698370bnd_in) # label(fact_def__esti) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 94 (all X all Xa (scratc484332979d_r_ec(X,Xa) <-> (pp(X) -> pp(scratc1048007820_d_not(Xa))))) # label(fact_def__r__ec) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 95 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(scratc690457049hangef(X,Xa,Xb,Xc),Xd) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307391646_Sigma,X),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aa_TPT1781712639TP_ind(aTP_Lamm_be(X),Xb),Xc),Xd))) # label(fact_def__changef) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 96 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc804445238wissel(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307391646_Sigma,X),scratc1723415457sel_wb(X,Xa,Xb))) # label(fact_def__wissel) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 97 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1723415457sel_wb(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc147710109nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc702645170d_e_is(X),Xc),Xb),X,Xa),aa_TPTP_ind_TPTP_ind(scratc1723415456sel_wa(X,Xa,Xb),Xc))) # label(fact_def__wissel__wb) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 98 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1723415456sel_wa(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc147710109nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc702645170d_e_is(X),Xc),Xa),X,Xb),Xc)) # label(fact_def__wissel__wa) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 99 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc147710109nd_ite(X,Xa,Xb),Xc) = scratc147316514nd_ind(Xa,aa_TPT43085870d_bool(scratc284364913_prop1(X,Xa,Xb),Xc))) # label(fact_def__ite) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 100 (all X all Xa all Xb all Xc all Xd (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc284364913_prop1(X,Xa,Xb),Xc),Xd)) <-> pp(scratc940542640_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc147250927nd_imp,X),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc702645170d_e_is(Xa),Xd),Xb)),aa_bool_bool(aa_boo1142376798l_bool(scratc147250927nd_imp,scratc1048007820_d_not(X)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc702645170d_e_is(Xa),Xd),Xc)))))) # label(fact_def__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 101 (all X all Xa scratc1563661169second(X,Xa) = scratc283971319_proj1) # label(fact_def__second) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 102 (all X all Xa scratc1215771443_first(X,Xa) = scratc283971318_proj0) # label(fact_def__first) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 103 (all X all Xa scratc168268961d_pair(X,Xa) = scratc1201657527d_pair) # label(fact_def__d__pair) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 104 (all X all Xa scratc197344753nd_out(X,Xa) = scratc1511399751d_soft(aa_fun1431113780TP_ind(scratc824291191_d_Sep(X),Xa),X,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307391646_Sigma,aa_fun1431113780TP_ind(scratc824291191_d_Sep(X),Xa)),scratc702645165d_e_in(X,Xa)))) # label(fact_def__out) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 105 (all X all Xa all Xb (gg_TPTP_ind(Xb) -> aa_TPTP_ind_TPTP_ind(scratc702645165d_e_in(X,Xa),Xb) = Xb)) # label(fact_def__e__in) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 106 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(scratc545707904_inj_h(X,Xa,Xb,Xc),Xd) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307391646_Sigma,X),aa_TPT1424761345TP_ind(aTP_Lamm_bf(Xc),Xd))) # label(fact_def__inj__h) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 107 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc140766770d_invf(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307391646_Sigma,Xa),scratc1511399751d_soft(X,Xa,Xb))) # label(fact_def__invf) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 108 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc584983432ective(X),Xa),Xb)) <-> pp(scratc940542640_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc401264202ective(X),Xa),Xb),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1319791065ective(X),Xa),Xb))))) # label(fact_def__bijective) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 109 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1319791065ective(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc81093284nd_all(Xa),aa_TPT43085870d_bool(scratc1173129374_image(X,Xa),Xb))))) # label(fact_def__surjective) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 110 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc676498099nverse(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307391646_Sigma,Xa),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_bg(X),Xa),Xb))) # label(fact_def__inverse) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 111 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1511399751d_soft(X,Xa,Xb),Xc) = scratc147316514nd_ind(X,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bh(Xa),Xb),Xc))) # label(fact_def__soft) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 112 (all X all Xa scratc144503301d_tofs(X,Xa) = scratc815173580bnd_ap) # label(fact_def__tofs) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 113 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173129374_image(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc1306285283l_some(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bh(Xa),Xb),Xc))))) # label(fact_def__image) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 114 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc401264202ective(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc81093284nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bj(X),Xa),Xb))))) # label(fact_def__injective) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 115 (all X all Xa scratc147316514nd_ind(X,Xa) = scratc114401707nd_eps(aa_fun1584354236d_bool(aTP_Lamm_bk(X),Xa))) # label(fact_def__ind) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 116 (all X all Xa (pp(aa_fun171081125l_bool(scratc196885545nd_one(X),Xa)) <-> pp(scratc940542640_d_and(scratc762669917_amone(X,Xa),aa_fun171081125l_bool(scratc1306285283l_some(X),Xa))))) # label(fact_def__one) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 117 (all X all Xa (pp(scratc762669917_amone(X,Xa)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X)),aa_fun1584354236d_bool(aTP_Lamm_bm(X),Xa))))) # label(fact_def__amone) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 118 (all X scratc702645170d_e_is(X) = fequal_TPTP_ind) # label(fact_def__e__is) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 119 (all X all Xa all Xb (scratc1208816437_orec3(X,Xa,Xb) <-> pp(scratc940542640_d_and(scratc197147891nd_or3(X,Xa,Xb),scratc113548856nd_ec3(X,Xa,Xb))))) # label(fact_def__orec3) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 120 (all X all Xa all Xb (pp(scratc113548856nd_ec3(X,Xa,Xb)) <-> scratc337339289d_and3(scratc89398189d_l_ec(X,Xa),scratc89398189d_l_ec(Xa,Xb),scratc89398189d_l_ec(Xb,X)))) # label(fact_def__ec3) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 121 (all X all Xa all Xb (scratc337339289d_and3(X,Xa,Xb) <-> pp(scratc940542640_d_and(X,scratc940542640_d_and(Xa,Xb))))) # label(fact_def__and3) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 122 (all X all Xa all Xb (pp(scratc197147891nd_or3(X,Xa,Xb)) <-> pp(aa_bool_bool(scratc90054194d_l_or(X),aa_bool_bool(scratc90054194d_l_or(Xa),Xb))))) # label(fact_def__or3) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 123 (all X all Xa (pp(aa_fun171081125l_bool(scratc1306285283l_some(X),Xa)) <-> pp(scratc1048007820_d_not(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X)),scratc188689648nd_non(X,Xa)))))) # label(fact_def__l__some) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 124 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(scratc188689648nd_non(X,Xa),Xb)) <-> pp(scratc1048007820_d_not(aa_TPTP_ind_bool(Xa,Xb))))) # label(fact_def__non) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 125 (all X scratc81093284nd_all(X) = scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X))) # label(fact_def__all) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 126 (all X all Xa (scratc1834684090_l_iff(X,Xa) <-> pp(scratc940542640_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc147250927nd_imp,X),Xa),aa_bool_bool(aa_boo1142376798l_bool(scratc147250927nd_imp,Xa),X))))) # label(fact_def__l__iff) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 127 (all X all Xa (scratc561253502d_orec(X,Xa) <-> pp(scratc940542640_d_and(aa_bool_bool(scratc90054194d_l_or(X),Xa),scratc89398189d_l_ec(X,Xa))))) # label(fact_def__orec) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 128 (all X scratc90054194d_l_or(X) = aa_boo1142376798l_bool(scratc147250927nd_imp,scratc1048007820_d_not(X))) # label(fact_def__l__or) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 129 (all X all Xa (pp(scratc940542640_d_and(X,Xa)) <-> pp(scratc1048007820_d_not(scratc89398189d_l_ec(X,Xa))))) # label(fact_def__d__and) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 130 (all X all Xa (pp(scratc89398189d_l_ec(X,Xa)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc147250927nd_imp,X),scratc1048007820_d_not(Xa))))) # label(fact_def__l__ec) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 131 scratc1541580746bvious <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc147250927nd_imp,fFalse),fFalse)) # label(fact_def__obvious) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 132 (all X (scratc262387201nd_wel(X) <-> pp(scratc1048007820_d_not(scratc1048007820_d_not(X))))) # label(fact_def__wel) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 133 (all X (pp(scratc1048007820_d_not(X)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc147250927nd_imp,X),fFalse)))) # label(fact_def__d__not) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 134 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1708924544d_d_Pi,X),Xa) = aa_fun1431113780TP_ind(scratc824291191_d_Sep(aa_TPTP_ind_TPTP_ind(scratc155457480_power,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307391646_Sigma,X),aTP_Lamm_bn(Xa)))),aa_fun1913827119d_bool(aTP_Lamm_bo(X),Xa))) # label(fact_def__d__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 135 (all X (gg_TPTP_ind(X) -> (pp(aa_TPTP_ind_bool(scratc1135000377pair_p,X)) <-> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1201657527d_pair,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,X),scratc1343253458ptyset)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,X),aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,scratc1343253458ptyset))) = X))) # label(fact_def__pair__p) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 136 (all X all Xa aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,X),Xa) = aa_fun277296641TP_ind(scratc200022696eplSep(X,aa_TPT43085870d_bool(aTP_Lamm_bp,Xa)),scratc283971319_proj1)) # label(fact_def__ap) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 137 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc912173500etprod(X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307391646_Sigma,X),aTP_Lamm_ah(Xa))) # label(fact_def__setprod) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 138 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307391646_Sigma,X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1708694010munion,X),aTP_Lamm_bq(Xa))) # label(fact_def__d__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.63 139 (all X aa_TPTP_ind_TPTP_ind(scratc283971319_proj1,X) = aa_fun277296641TP_ind(scratc200022696eplSep(X,aTP_Lamm_br),scratc841404586_d_Unj)) # label(fact_def__proj1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 140 (all X aa_TPTP_ind_TPTP_ind(scratc283971318_proj0,X) = aa_fun277296641TP_ind(scratc200022696eplSep(X,aTP_Lamm_bs),scratc841404586_d_Unj)) # label(fact_def__proj0) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 141 (all X all Xa aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1201657527d_pair,X),Xa) = aa_TPTP_ind_TPTP_ind(scratc555067461nunion(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc648853484d_repl,X),scratc2045088018d_Inj0)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc648853484d_repl,Xa),scratc2045088019d_Inj1))) # label(fact_def__pair) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 142 (all X aa_TPTP_ind_TPTP_ind(scratc2045088018d_Inj0,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc648853484d_repl,X),scratc2045088019d_Inj1)) # label(fact_def__d__Inj0) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 143 (all X (pp(aa_TPTP_ind_bool(scratc1839731244_nat_p,X)) <-> (all X1 (pp(aa_TPTP_ind_bool(X1,scratc1343253458ptyset)) -> ((all X2 (gg_TPTP_ind(X2) -> (pp(aa_TPTP_ind_bool(X1,X2)) -> pp(aa_TPTP_ind_bool(X1,aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,X2)))))) -> pp(aa_TPTP_ind_bool(X1,X))))))) # label(fact_def__nat__p) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 144 (all X aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,X) = aa_TPTP_ind_TPTP_ind(scratc555067461nunion(X),aa_TPTP_ind_TPTP_ind(scratc1219980342d_Sing,X))) # label(fact_def__ordsucc) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 145 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc2075269924In_rec(X),Xa) = scratc114401707nd_eps(aa_TPT43085870d_bool(scratc1542346851_rec_G(X),Xa))) # label(fact_def__d__In__rec) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 146 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1542346851_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(scratc815698370bnd_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].
% 1.24/1.64 147 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc471353003tminus(X),Xa) = aa_fun1431113780TP_ind(scratc824291191_d_Sep(X),aa_TPT43085870d_bool(aTP_Lamm_bv,Xa))) # label(fact_def__setminus) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 148 (all X all Xa scratc200022696eplSep(X,Xa) = aa_TPT494704832TP_ind(scratc648853484d_repl,aa_fun1431113780TP_ind(scratc824291191_d_Sep(X),Xa))) # label(fact_def__d__ReplSep) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 149 (all X all Xa aa_fun1431113780TP_ind(scratc824291191_d_Sep(X),Xa) = aa_TPTP_ind_TPTP_ind(scratc815698362bnd_if(fEx_TPTP_ind(cOMBS_2003118649l_bool(cOMBB_658106424TP_ind(fconj,aa_TPT43085870d_bool(cOMBC_1555011498d_bool(scratc815698370bnd_in),X)),Xa)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc648853484d_repl,X),aa_fun1235454963TP_ind(aTP_Lamm_bw(X),Xa))),scratc1343253458ptyset)) # label(fact_def__d__Sep) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 150 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1708694010munion,X),Xa) = aa_TPTP_ind_TPTP_ind(scratc662719346_union,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc648853484d_repl,X),Xa))) # label(fact_def__famunion) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 151 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc555067461nunion(X),Xa) = aa_TPTP_ind_TPTP_ind(scratc662719346_union,aa_TPTP_ind_TPTP_ind(scratc1201878024_UPair(X),Xa))) # label(fact_def__binunion) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 152 (all X aa_TPTP_ind_TPTP_ind(scratc1219980342d_Sing,X) = aa_TPTP_ind_TPTP_ind(scratc1201878024_UPair(X),X)) # label(fact_def__d__Sing) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 153 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1201878024_UPair(X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc648853484d_repl,aa_TPTP_ind_TPTP_ind(scratc155457480_power,aa_TPTP_ind_TPTP_ind(scratc155457480_power,scratc1343253458ptyset))),aa_TPT1424761345TP_ind(aTP_Lamm_bx(X),Xa))) # label(fact_def__d__UPair) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 154 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc186196886nd_nIn,X),Xa)) <-> -pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X),Xa)))) # label(fact_def__nIn) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 155 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc815698362bnd_if(X,Xa),Xb) = scratc114401707nd_eps(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_by(X),Xa),Xb))) # label(fact_def__if) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 156 (all X (pp(aa_TPTP_ind_bool(scratc1840870751closed,X)) <-> pp(aa_TPTP_ind_bool(scratc1283986036closed,X)) & pp(aa_TPTP_ind_bool(scratc1448719050closed,X)) & pp(aa_TPTP_ind_bool(scratc1993911426closed,X)))) # label(fact_def__d__ZF__closed) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 157 (all X (pp(aa_TPTP_ind_bool(scratc1993911426closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X1),X)) -> (all X2 ((all X3 (gg_TPTP_ind(X3) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X3),X1)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,aa_TPTP_ind_TPTP_ind(X2,X3)),X))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc648853484d_repl,X1),X2)),X))))))))) # label(fact_def__d__Repl__closed) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 158 (all X (pp(aa_TPTP_ind_bool(scratc1448719050closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X1),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,aa_TPTP_ind_TPTP_ind(scratc155457480_power,X1)),X))))))) # label(fact_def__d__Power__closed) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 159 (all X (pp(aa_TPTP_ind_bool(scratc1283986036closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X1),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,aa_TPTP_ind_TPTP_ind(scratc662719346_union,X1)),X))))))) # label(fact_def__d__Union__closed) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 160 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1318331224d_Subq,X),Xa)) <-> (all X2 (gg_TPTP_ind(X2) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X2),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X2),Xa))))))) # label(fact_def__d__Subq) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 161 (all X all Xa (pp(aa_fun171081125l_bool(scratc48140827all_of(X),Xa)) <-> (all X2 (gg_TPTP_ind(X2) -> (scratc1953087038_is_of(X2,X) -> pp(aa_TPTP_ind_bool(Xa,X2))))))) # label(fact_def__all__of) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 162 (all X all Xa (scratc1953087038_is_of(X,Xa) <-> pp(aa_TPTP_ind_bool(Xa,X)))) # label(fact_def__is__of) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 163 (all X0 (pp(aa_fun171081125l_bool(scratc2050109925n_some,X0)) -> pp(aa_fun171081125l_bool(scratc481308725_n_one,scratc180034549nd_min(X0))))) # label(fact_satz27a) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 164 (all X0 (pp(aa_fun171081125l_bool(scratc2050109925n_some,X0)) -> pp(aa_fun171081125l_bool(scratc2050109925n_some,scratc180034549nd_min(X0))))) # label(fact_satz27) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 165 (all X0 pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_vx,X0)),aa_TPT43085870d_bool(aTP_Lamm_vz,X0)))) # label(fact_isseti) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 166 (all X0 all X12 pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X0)),aa_fun1584354236d_bool(aTP_Lamm_wa(X0),X12)))) # label(fact_estie) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 167 (all X0 all X12 pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X0)),aa_fun1584354236d_bool(aTP_Lamm_wb(X0),X12)))) # label(fact_estii) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 168 (all X0 all X12 scratc1953087038_is_of(aa_fun1431113780TP_ind(scratc824291191_d_Sep(X0),X12),aa_TPT43085870d_bool(aTP_Lamm_vx,X0))) # label(fact_setof__p) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 169 (all X0 all X12 pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X0)),aa_TPT43085870d_bool(aTP_Lamm_wd(X0),X12)))) # label(fact_secondis1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 170 (all X0 all X12 pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X0)),aa_TPT43085870d_bool(aTP_Lamm_wf(X0),X12)))) # label(fact_firstis1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 171 (all X0 all X12 pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_wg(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_wh(X0),X12)))) # label(fact_pairis1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 172 (all X0 all X12 pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_wg(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_wi(X0),X12)))) # label(fact_second__p) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 173 (all X0 all X12 pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_wg(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_wj(X0),X12)))) # label(fact_first__p) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 174 (all X0 all X12 pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X0)),aa_TPT43085870d_bool(aTP_Lamm_wl(X0),X12)))) # label(fact_e__pair__p) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 175 (all X0 all X12 pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X0)),aa_fun1584354236d_bool(aTP_Lamm_wm(X0),X12)))) # label(fact_otax2) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 176 (all X0 all X12 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc401264202ective(aa_fun1431113780TP_ind(scratc824291191_d_Sep(X0),X12)),X0),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307391646_Sigma,aa_fun1431113780TP_ind(scratc824291191_d_Sep(X0),X12)),scratc702645165d_e_in(X0,X12))))) # label(fact_otax1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 177 (all X0 all X12 pp(aa_fun171081125l_bool(scratc48140827all_of(aa_fun1584354236d_bool(aTP_Lamm_wn(X0),X12)),aa_fun1584354236d_bool(aTP_Lamm_wo(X0),X12)))) # label(fact_e__inp) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 178 (all X0 all X12 pp(aa_fun171081125l_bool(scratc48140827all_of(aa_fun1584354236d_bool(aTP_Lamm_wn(X0),X12)),aa_fun1584354236d_bool(aTP_Lamm_wp(X0),X12)))) # label(fact_e__in__p) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 179 (all X0 all X12 pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_wq(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_wt(X0),X12)))) # label(fact_e__fisi) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 180 (all X0 all X12 (pp(aa_fun171081125l_bool(scratc196885545nd_one(X0),X12)) -> pp(aa_TPTP_ind_bool(X12,scratc147316514nd_ind(X0,X12))))) # label(fact_oneax) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 181 (all X0 all X12 (pp(aa_fun171081125l_bool(scratc196885545nd_one(X0),X12)) -> scratc1953087038_is_of(scratc147316514nd_ind(X0,X12),aa_TPT43085870d_bool(aTP_Lamm_as,X0)))) # label(fact_ind__p) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 182 (all X0 all X12 pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X0)),aa_fun1584354236d_bool(aTP_Lamm_wv(X0),X12)))) # label(fact_e__isp) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 183 (all X0 pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X0)),aa_TPT43085870d_bool(aTP_Lamm_ww,X0)))) # label(fact_refis) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 184 (all X0 (scratc262387201nd_wel(X0) -> pp(X0))) # label(fact_l__et) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 185 (all X0 all X12 all X22 all X32 (pp(X0) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc815698362bnd_if(X0,X22),X32))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X12),X22))))) # label(fact_k__If__In__then__E) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 186 (all X0 all X12 all X22 ((pp(X0) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X12),X22))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,aa_TPTP_ind_TPTP_ind(scratc815698362bnd_if(X0,X12),scratc1343253458ptyset)),aa_TPTP_ind_TPTP_ind(scratc815698362bnd_if(X0,X22),aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,scratc1343253458ptyset)))))) # label(fact_k__If__In__01) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 187 (all X0 all X12 all X22 ((all X33 (gg_TPTP_ind(X33) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X33),X0)) -> aa_TPTP_ind_TPTP_ind(X12,X33) = aa_TPTP_ind_TPTP_ind(X22,X33)))) -> aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307391646_Sigma,X0),X12) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307391646_Sigma,X0),X22))) # label(fact_xi__ext) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 188 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1708924544d_d_Pi,X0),X12))) -> (all X32 (gg_TPTP_ind(X32) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X32),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1708924544d_d_Pi,X0),X12))) -> ((all X42 (gg_TPTP_ind(X42) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X42),X0)) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,X22),X42) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,X32),X42)))) -> X22 = X32))))))) # label(fact_k__Pi__ext) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 189 (all X0 all X12 all X22 all X32 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1708924544d_d_Pi,X0),X12))) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X32),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,X22),X32)),aa_TPTP_ind_TPTP_ind(X12,X32)))))) # label(fact_ap__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 190 (all X0 all X12 all X22 ((all X33 (gg_TPTP_ind(X33) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X33),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,aa_TPTP_ind_TPTP_ind(X22,X33)),aa_TPTP_ind_TPTP_ind(X12,X33)))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307391646_Sigma,X0),X22)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1708924544d_d_Pi,X0),X12))))) # label(fact_lam__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 191 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X22),X0)) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307391646_Sigma,X0),X12)),X22) = aa_TPTP_ind_TPTP_ind(X12,X22))) # label(fact_beta) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 192 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307391646_Sigma,X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,aa_TPTP_ind_TPTP_ind(scratc283971319_proj1,X22)),aa_TPTP_ind_TPTP_ind(X12,aa_TPTP_ind_TPTP_ind(scratc283971318_proj0,X22)))))) # label(fact_proj1__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 193 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307391646_Sigma,X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,aa_TPTP_ind_TPTP_ind(scratc283971318_proj0,X22)),X0)))) # label(fact_proj0__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 194 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307391646_Sigma,X0),X12))) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1201657527d_pair,aa_TPTP_ind_TPTP_ind(scratc283971318_proj0,X22)),aa_TPTP_ind_TPTP_ind(scratc283971319_proj1,X22)) = X22))) # label(fact_proj__Sigma__eta) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 195 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307391646_Sigma,X0),X12))) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1201657527d_pair,aa_TPTP_ind_TPTP_ind(scratc283971318_proj0,X22)),aa_TPTP_ind_TPTP_ind(scratc283971319_proj1,X22)) = X22 & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,aa_TPTP_ind_TPTP_ind(scratc283971318_proj0,X22)),X0)) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,aa_TPTP_ind_TPTP_ind(scratc283971319_proj1,X22)),aa_TPTP_ind_TPTP_ind(X12,aa_TPTP_ind_TPTP_ind(scratc283971318_proj0,X22))))))) # label(fact_k__Sigma__eta__proj0__proj1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 196 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X22),X0)) -> (all X32 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X32),aa_TPTP_ind_TPTP_ind(X12,X22))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1201657527d_pair,X22),X32)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307391646_Sigma,X0),X12))))))) # label(fact_pair__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 197 (all X0 all X12 (gg_TPTP_ind(X12) -> aa_TPTP_ind_TPTP_ind(scratc283971319_proj1,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1201657527d_pair,X0),X12)) = X12)) # label(fact_proj1__pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 198 (all X0 all X12 (gg_TPTP_ind(X0) -> aa_TPTP_ind_TPTP_ind(scratc283971318_proj0,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1201657527d_pair,X0),X12)) = X0)) # label(fact_proj0__pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 199 (all X0 (pp(aa_TPTP_ind_bool(scratc1839731244_nat_p,X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X0),scratc1601110180_omega)))) # label(fact_nat__p__omega) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 200 (all X0 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X0),scratc1601110180_omega)) -> pp(aa_TPTP_ind_bool(scratc1839731244_nat_p,X0)))) # label(fact_omega__nat__p) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 201 (all X0 (gg_TPTP_ind(X0) -> (pp(aa_TPTP_ind_bool(scratc1839731244_nat_p,X0)) -> X0 = scratc1343253458ptyset | (exists X13 (gg_TPTP_ind(X13) & pp(aa_TPTP_ind_bool(scratc1839731244_nat_p,X13)) & X0 = aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,X13)))))) # label(fact_nat__inv) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 202 (all X0 (pp(aa_TPTP_ind_bool(X0,scratc1343253458ptyset)) -> ((all X13 (gg_TPTP_ind(X13) -> (pp(aa_TPTP_ind_bool(scratc1839731244_nat_p,X13)) -> (pp(aa_TPTP_ind_bool(X0,X13)) -> pp(aa_TPTP_ind_bool(X0,aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,X13))))))) -> (all X12 (pp(aa_TPTP_ind_bool(scratc1839731244_nat_p,X12)) -> pp(aa_TPTP_ind_bool(X0,X12))))))) # label(fact_nat__ind) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 203 (all X0 (pp(aa_TPTP_ind_bool(scratc1839731244_nat_p,X0)) -> pp(aa_TPTP_ind_bool(scratc1839731244_nat_p,aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,X0))))) # label(fact_nat__ordsucc) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 204 (all X0 all X12 (gg_TPTP_ind(X0) & gg_TPTP_ind(X12) -> (aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,X0) = aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,X12) -> X0 = X12))) # label(fact_ordsucc__inj) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 205 (all X0 aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,X0) != scratc1343253458ptyset) # label(fact_neq__ordsucc__0) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 206 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X22),aa_fun1431113780TP_ind(scratc824291191_d_Sep(X0),X12))) -> pp(aa_TPTP_ind_bool(X12,X22)))) # label(fact_k__SepE2) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 207 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X22),aa_fun1431113780TP_ind(scratc824291191_d_Sep(X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X22),X0)))) # label(fact_k__SepE1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 208 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X22),X0)) -> (pp(aa_TPTP_ind_bool(X12,X22)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X22),aa_fun1431113780TP_ind(scratc824291191_d_Sep(X0),X12)))))) # label(fact_k__SepI) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 209 (all X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X0),aa_TPTP_ind_TPTP_ind(scratc155457480_power,X0)))) # label(fact_k__Self__In__Power) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 210 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1318331224d_Subq,X12),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc155457480_power,X0))))) # label(fact_k__PowerI) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 211 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc155457480_power,X0))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1318331224d_Subq,X12),X0)))) # label(fact_k__PowerE) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 212 (all X0 all X12 all X22 (gg_TPTP_ind(X12) & gg_TPTP_ind(X22) -> aa_TPTP_ind_TPTP_ind(scratc815698362bnd_if(X0,X12),X22) = X12 | aa_TPTP_ind_TPTP_ind(scratc815698362bnd_if(X0,X12),X22) = X22)) # label(fact_if__i__or) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 213 (all X0 all X12 all X22 (gg_TPTP_ind(X12) -> (pp(X0) -> aa_TPTP_ind_TPTP_ind(scratc815698362bnd_if(X0,X12),X22) = X12))) # label(fact_if__i__1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 214 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (-pp(X0) -> aa_TPTP_ind_TPTP_ind(scratc815698362bnd_if(X0,X12),X22) = X22))) # label(fact_if__i__0) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 215 (all X0 all X12 all X22 (gg_TPTP_ind(X12) & gg_TPTP_ind(X22) -> pp(X0) & aa_TPTP_ind_TPTP_ind(scratc815698362bnd_if(X0,X12),X22) = X12 | -pp(X0) & aa_TPTP_ind_TPTP_ind(scratc815698362bnd_if(X0,X12),X22) = X22)) # label(fact_if__i__correct) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 216 (all X0 pp(aa_TPTP_ind_bool(scratc1840870751closed,aa_TPTP_ind_TPTP_ind(scratc125304378univof,X0)))) # label(fact_k__UnivOf__ZF__closed) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 217 (all X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X0),aa_TPTP_ind_TPTP_ind(scratc125304378univof,X0)))) # label(fact_k__UnivOf__In) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 218 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc648853484d_repl,X0),X12))) <-> (exists X3 (gg_TPTP_ind(X3) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X3),X0)) & X22 = aa_TPTP_ind_TPTP_ind(X12,X3)))))) # label(fact_k__ReplEq) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 219 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc155457480_power,X0))) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1318331224d_Subq,X12),X0)))) # label(fact_k__PowerEq) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 220 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc662719346_union,X0))) <-> (exists X2 (gg_TPTP_ind(X2) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X12),X2)) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X2),X0)))))) # label(fact_k__UnionEq) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 221 -(exists X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X0),scratc1343253458ptyset))) # label(fact_k__EmptyAx) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 222 (all X0 ((all X13 (gg_TPTP_ind(X13) -> ((all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_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].
% 1.24/1.64 223 (all X0 all X12 (gg_TPTP_ind(X0) & gg_TPTP_ind(X12) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1318331224d_Subq,X0),X12)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1318331224d_Subq,X12),X0)) -> X0 = X12)))) # label(fact_set__ext) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 224 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vm,Uu)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc188296059nd_nis,Uu),scratc1770787712nd_n_1)) -> pp(aa_fun171081125l_bool(scratc2050109925n_some,aa_TPT43085870d_bool(aTP_Lamm_ap,Uu)))))) # label(fact_ATP_Olambda__1) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 225 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vl,Uu)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc188296059nd_nis,Uu),scratc1770787712nd_n_1)) -> pp(aa_fun171081125l_bool(scratc481308725_n_one,aa_TPT43085870d_bool(aTP_Lamm_ap,Uu)))))) # label(fact_ATP_Olambda__2) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 226 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vi,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),scratc1770787712nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uu))))) # label(fact_ATP_Olambda__3) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 227 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nk,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),scratc1770787712nd_n_1)),Uu)))) # label(fact_ATP_Olambda__4) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 228 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vf,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(scratc1770787712nd_n_1),Uu)),aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uu))))) # label(fact_ATP_Olambda__5) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 229 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nh,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(scratc1770787712nd_n_1),Uu)),Uu)))) # label(fact_ATP_Olambda__6) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 230 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vk,Uu)) <-> pp(aa_fun171081125l_bool(scratc196885545nd_one(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1708924544d_d_Pi,scratc187771268nd_nat),aTP_Lamm_aj)),aa_TPT43085870d_bool(aTP_Lamm_vj,Uu))))) # label(fact_ATP_Olambda__7) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 231 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nm,Uu)) <-> pp(aa_fun171081125l_bool(scratc196885545nd_one(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1708924544d_d_Pi,scratc187771268nd_nat),aTP_Lamm_aj)),aa_TPT43085870d_bool(aTP_Lamm_nl,Uu))))) # label(fact_ATP_Olambda__8) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 232 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vs,Uu)) <-> (pp(aa_TPTP_ind_bool(scratc299088050_cond1,Uu)) -> (pp(aa_TPTP_ind_bool(scratc299088051_cond2,Uu)) -> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_vr,Uu))))))) # label(fact_ATP_Olambda__9) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 233 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vc,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),scratc1770787712nd_n_1))))) # label(fact_ATP_Olambda__10) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 234 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_uz,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(scratc1770787712nd_n_1),Uu))))) # label(fact_ATP_Olambda__11) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 235 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rz,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uu)),Uu)))) # label(fact_ATP_Olambda__12) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 236 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vn,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc188296059nd_nis,aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uu)),Uu)))) # label(fact_ATP_Olambda__13) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 237 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vw,Uu)) <-> scratc1953087038_is_of(aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uu),aTP_Lamm_fo))) # label(fact_ATP_Olambda__14) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 238 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oe,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uu)),scratc1770787712nd_n_1)))) # label(fact_ATP_Olambda__15) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 239 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vv,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc188296059nd_nis,aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uu)),scratc1770787712nd_n_1)))) # label(fact_ATP_Olambda__16) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 240 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ne,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),scratc1770787712nd_n_1))))) # label(fact_ATP_Olambda__17) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 241 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nb,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(scratc1770787712nd_n_1),Uu))))) # label(fact_ATP_Olambda__18) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 242 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ry,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uu),aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uu))))) # label(fact_ATP_Olambda__19) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 243 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vq,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,Uu),aa_TPTP_ind_TPTP_ind(scratc155457480_power,scratc187771268nd_nat))))) # label(fact_ATP_Olambda__20) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 244 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jh,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uu),Uu)))) # label(fact_ATP_Olambda__21) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 245 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_of,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,Uu),scratc1770787712nd_n_1)))) # label(fact_ATP_Olambda__22) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 246 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_a,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,Uu),scratc2125640907d_frac)))) # label(fact_ATP_Olambda__23) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 247 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fo,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,Uu),scratc187771268nd_nat)))) # label(fact_ATP_Olambda__24) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 248 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vu,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_vt,Uu))))) # label(fact_ATP_Olambda__25) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 249 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vp,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_vo,Uu))))) # label(fact_ATP_Olambda__26) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 250 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vh,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_vg,Uu))))) # label(fact_ATP_Olambda__27) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 251 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ve,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_vd,Uu))))) # label(fact_ATP_Olambda__28) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 252 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vb,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_va,Uu))))) # label(fact_ATP_Olambda__29) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 253 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_uy,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ux,Uu))))) # label(fact_ATP_Olambda__30) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 254 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_uw,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_uv,Uu))))) # label(fact_ATP_Olambda__31) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 255 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ut,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_us,Uu))))) # label(fact_ATP_Olambda__32) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 256 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ur,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_uq,Uu))))) # label(fact_ATP_Olambda__33) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 257 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_up,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_uo,Uu))))) # label(fact_ATP_Olambda__34) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 258 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_um,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ul,Uu))))) # label(fact_ATP_Olambda__35) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 259 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_uj,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ui,Uu))))) # label(fact_ATP_Olambda__36) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 260 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_uh,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ug,Uu))))) # label(fact_ATP_Olambda__37) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 261 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ud,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_uc,Uu))))) # label(fact_ATP_Olambda__38) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 262 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ub,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ua,Uu))))) # label(fact_ATP_Olambda__39) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 263 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tz,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ty,Uu))))) # label(fact_ATP_Olambda__40) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 264 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tx,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_tw,Uu))))) # label(fact_ATP_Olambda__41) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 265 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tv,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_tu,Uu))))) # label(fact_ATP_Olambda__42) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 266 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tt,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ts,Uu))))) # label(fact_ATP_Olambda__43) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 267 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tr,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_tq,Uu))))) # label(fact_ATP_Olambda__44) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 268 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tp,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_to,Uu))))) # label(fact_ATP_Olambda__45) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 269 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tn,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_tm,Uu))))) # label(fact_ATP_Olambda__46) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 270 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tl,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_tk,Uu))))) # label(fact_ATP_Olambda__47) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 271 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tj,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ti,Uu))))) # label(fact_ATP_Olambda__48) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 272 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_th,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_tg,Uu))))) # label(fact_ATP_Olambda__49) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 273 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tf,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_te,Uu))))) # label(fact_ATP_Olambda__50) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 274 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_td,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_tc,Uu))))) # label(fact_ATP_Olambda__51) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 275 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tb,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ta,Uu))))) # label(fact_ATP_Olambda__52) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 276 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sz,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_sy,Uu))))) # label(fact_ATP_Olambda__53) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 277 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sx,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_sw,Uu))))) # label(fact_ATP_Olambda__54) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 278 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sv,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_su,Uu))))) # label(fact_ATP_Olambda__55) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 279 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ss,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_sr,Uu))))) # label(fact_ATP_Olambda__56) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 280 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sp,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_so,Uu))))) # label(fact_ATP_Olambda__57) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 281 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sm,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_sl,Uu))))) # label(fact_ATP_Olambda__58) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 282 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sj,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_si,Uu))))) # label(fact_ATP_Olambda__59) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 283 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sg,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_sf,Uu))))) # label(fact_ATP_Olambda__60) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 284 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sd,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_sc,Uu))))) # label(fact_ATP_Olambda__61) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 285 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sb,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_sa,Uu))))) # label(fact_ATP_Olambda__62) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 286 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rx,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_rw,Uu))))) # label(fact_ATP_Olambda__63) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 287 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ru,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_rt,Uu))))) # label(fact_ATP_Olambda__64) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 288 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rr,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_rq,Uu))))) # label(fact_ATP_Olambda__65) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 289 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ro,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_rn,Uu))))) # label(fact_ATP_Olambda__66) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 290 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rl,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_rk,Uu))))) # label(fact_ATP_Olambda__67) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 291 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ri,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_rh,Uu))))) # label(fact_ATP_Olambda__68) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 292 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rf,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_re,Uu))))) # label(fact_ATP_Olambda__69) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 293 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rb,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ra,Uu))))) # label(fact_ATP_Olambda__70) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 294 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qx,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_qw,Uu))))) # label(fact_ATP_Olambda__71) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 295 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qt,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_qs,Uu))))) # label(fact_ATP_Olambda__72) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 296 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qp,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_qo,Uu))))) # label(fact_ATP_Olambda__73) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 297 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qm,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ql,Uu))))) # label(fact_ATP_Olambda__74) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 298 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qj,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_qi,Uu))))) # label(fact_ATP_Olambda__75) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 299 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qg,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_qf,Uu))))) # label(fact_ATP_Olambda__76) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 300 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qd,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_qc,Uu))))) # label(fact_ATP_Olambda__77) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 301 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qa,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_pz,Uu))))) # label(fact_ATP_Olambda__78) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 302 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_px,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_pw,Uu))))) # label(fact_ATP_Olambda__79) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 303 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pu,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_pt,Uu))))) # label(fact_ATP_Olambda__80) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 304 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pr,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_pq,Uu))))) # label(fact_ATP_Olambda__81) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 305 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_po,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_pn,Uu))))) # label(fact_ATP_Olambda__82) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 306 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pl,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_pk,Uu))))) # label(fact_ATP_Olambda__83) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 307 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ph,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_pg,Uu))))) # label(fact_ATP_Olambda__84) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 308 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pd,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_pc,Uu))))) # label(fact_ATP_Olambda__85) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 309 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oz,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_oy,Uu))))) # label(fact_ATP_Olambda__86) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 310 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ov,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ou,Uu))))) # label(fact_ATP_Olambda__87) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 311 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_or,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_oq,Uu))))) # label(fact_ATP_Olambda__88) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 312 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_on,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_om,Uu))))) # label(fact_ATP_Olambda__89) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 313 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oj,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_oi,Uu))))) # label(fact_ATP_Olambda__90) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 314 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oc,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ob,Uu))))) # label(fact_ATP_Olambda__91) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 315 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oa,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_nz,Uu))))) # label(fact_ATP_Olambda__92) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 316 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ny,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_nx,Uu))))) # label(fact_ATP_Olambda__93) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 317 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nw,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_nv,Uu))))) # label(fact_ATP_Olambda__94) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 318 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nu,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_nt,Uu))))) # label(fact_ATP_Olambda__95) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 319 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ns,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_nr,Uu))))) # label(fact_ATP_Olambda__96) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 320 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nq,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_np,Uu))))) # label(fact_ATP_Olambda__97) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 321 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_no,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_nn,Uu))))) # label(fact_ATP_Olambda__98) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 322 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nj,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ni,Uu))))) # label(fact_ATP_Olambda__99) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 323 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ng,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_nf,Uu))))) # label(fact_ATP_Olambda__100) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 324 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nd,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_nc,Uu))))) # label(fact_ATP_Olambda__101) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 325 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_na,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_mz,Uu))))) # label(fact_ATP_Olambda__102) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 326 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_my,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_mx,Uu))))) # label(fact_ATP_Olambda__103) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 327 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mw,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_mv,Uu))))) # label(fact_ATP_Olambda__104) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 328 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mt,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ms,Uu))))) # label(fact_ATP_Olambda__105) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 329 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mq,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_mp,Uu))))) # label(fact_ATP_Olambda__106) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 330 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mn,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_mm,Uu))))) # label(fact_ATP_Olambda__107) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 331 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mk,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_mj,Uu))))) # label(fact_ATP_Olambda__108) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 332 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mh,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_mg,Uu))))) # label(fact_ATP_Olambda__109) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 333 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_me,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_md,Uu))))) # label(fact_ATP_Olambda__110) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 334 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mb,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ma,Uu))))) # label(fact_ATP_Olambda__111) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 335 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ly,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_lx,Uu))))) # label(fact_ATP_Olambda__112) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 336 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lu,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_lt,Uu))))) # label(fact_ATP_Olambda__113) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 337 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lq,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_lp,Uu))))) # label(fact_ATP_Olambda__114) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 338 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lm,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ll,Uu))))) # label(fact_ATP_Olambda__115) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 339 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_li,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_lh,Uu))))) # label(fact_ATP_Olambda__116) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 340 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lf,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_le,Uu))))) # label(fact_ATP_Olambda__117) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 341 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lc,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_lb,Uu))))) # label(fact_ATP_Olambda__118) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 342 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kz,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ky,Uu))))) # label(fact_ATP_Olambda__119) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 343 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kw,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_kv,Uu))))) # label(fact_ATP_Olambda__120) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 344 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kt,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ks,Uu))))) # label(fact_ATP_Olambda__121) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 345 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kq,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_kp,Uu))))) # label(fact_ATP_Olambda__122) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 346 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kn,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_km,Uu))))) # label(fact_ATP_Olambda__123) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 347 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kj,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ki,Uu))))) # label(fact_ATP_Olambda__124) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 348 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kf,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ke,Uu))))) # label(fact_ATP_Olambda__125) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 349 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kb,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ka,Uu))))) # label(fact_ATP_Olambda__126) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 350 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jx,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_jw,Uu))))) # label(fact_ATP_Olambda__127) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 351 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jt,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_js,Uu))))) # label(fact_ATP_Olambda__128) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 352 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jp,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_jo,Uu))))) # label(fact_ATP_Olambda__129) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 353 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jl,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_jk,Uu))))) # label(fact_ATP_Olambda__130) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 354 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jb,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ja,Uu))))) # label(fact_ATP_Olambda__131) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 355 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_iz,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_iy,Uu))))) # label(fact_ATP_Olambda__132) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 356 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ix,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_iw,Uu))))) # label(fact_ATP_Olambda__133) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 357 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_iu,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_it,Uu))))) # label(fact_ATP_Olambda__134) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 358 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fu,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ft,Uu))))) # label(fact_ATP_Olambda__135) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 359 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fr,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_fq,Uu))))) # label(fact_ATP_Olambda__136) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 360 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jg,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_jf,Uu))))) # label(fact_ATP_Olambda__137) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 361 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_je,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_jd,Uu))))) # label(fact_ATP_Olambda__138) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 362 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ir,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_iq,Uu))))) # label(fact_ATP_Olambda__139) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 363 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ip,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_io,Uu))))) # label(fact_ATP_Olambda__140) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 364 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_in,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_im,Uu))))) # label(fact_ATP_Olambda__141) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 365 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_il,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ik,Uu))))) # label(fact_ATP_Olambda__142) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 366 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ij,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ii,Uu))))) # label(fact_ATP_Olambda__143) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 367 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ih,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ig,Uu))))) # label(fact_ATP_Olambda__144) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 368 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_id,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ic,Uu))))) # label(fact_ATP_Olambda__145) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 369 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hz,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hy,Uu))))) # label(fact_ATP_Olambda__146) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 370 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hx,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hw,Uu))))) # label(fact_ATP_Olambda__147) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 371 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hv,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hu,Uu))))) # label(fact_ATP_Olambda__148) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 372 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ht,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hs,Uu))))) # label(fact_ATP_Olambda__149) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 373 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hr,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hq,Uu))))) # label(fact_ATP_Olambda__150) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 374 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hp,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ho,Uu))))) # label(fact_ATP_Olambda__151) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 375 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hn,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hm,Uu))))) # label(fact_ATP_Olambda__152) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 376 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hl,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hk,Uu))))) # label(fact_ATP_Olambda__153) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 377 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hj,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hi,Uu))))) # label(fact_ATP_Olambda__154) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 378 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hf,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_he,Uu))))) # label(fact_ATP_Olambda__155) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 379 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hb,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ha,Uu))))) # label(fact_ATP_Olambda__156) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 380 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gz,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gy,Uu))))) # label(fact_ATP_Olambda__157) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 381 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gx,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gw,Uu))))) # label(fact_ATP_Olambda__158) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 382 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gu,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gt,Uu))))) # label(fact_ATP_Olambda__159) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 383 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gr,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gq,Uu))))) # label(fact_ATP_Olambda__160) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 384 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_go,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gn,Uu))))) # label(fact_ATP_Olambda__161) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 385 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gl,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gk,Uu))))) # label(fact_ATP_Olambda__162) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 386 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gi,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gh,Uu))))) # label(fact_ATP_Olambda__163) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 387 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gb,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ga,Uu))))) # label(fact_ATP_Olambda__164) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 388 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fy,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fx,Uu))))) # label(fact_ATP_Olambda__165) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 389 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fn,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fm,Uu))))) # label(fact_ATP_Olambda__166) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 390 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fl,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fk,Uu))))) # label(fact_ATP_Olambda__167) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 391 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fi,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fh,Uu))))) # label(fact_ATP_Olambda__168) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 392 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fg,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ff,Uu))))) # label(fact_ATP_Olambda__169) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 393 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fe,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fd,Uu))))) # label(fact_ATP_Olambda__170) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 394 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fb,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fa,Uu))))) # label(fact_ATP_Olambda__171) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 395 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ey,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ex,Uu))))) # label(fact_ATP_Olambda__172) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 396 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ev,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_eu,Uu))))) # label(fact_ATP_Olambda__173) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 397 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_es,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_er,Uu))))) # label(fact_ATP_Olambda__174) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 398 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ep,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_eo,Uu))))) # label(fact_ATP_Olambda__175) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 399 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_em,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_el,Uu))))) # label(fact_ATP_Olambda__176) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 400 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ei,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_eh,Uu))))) # label(fact_ATP_Olambda__177) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 401 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ee,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ed,Uu))))) # label(fact_ATP_Olambda__178) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 402 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ea,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dz,Uu))))) # label(fact_ATP_Olambda__179) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 403 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dw,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dv,Uu))))) # label(fact_ATP_Olambda__180) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 404 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dt,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ds,Uu))))) # label(fact_ATP_Olambda__181) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 405 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dq,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dp,Uu))))) # label(fact_ATP_Olambda__182) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.64 406 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dn,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dm,Uu))))) # label(fact_ATP_Olambda__183) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 407 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dk,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dj,Uu))))) # label(fact_ATP_Olambda__184) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 408 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dh,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dg,Uu))))) # label(fact_ATP_Olambda__185) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 409 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_de,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dd,Uu))))) # label(fact_ATP_Olambda__186) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 410 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_da,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cz,Uu))))) # label(fact_ATP_Olambda__187) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 411 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cw,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cv,Uu))))) # label(fact_ATP_Olambda__188) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 412 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cs,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cr,Uu))))) # label(fact_ATP_Olambda__189) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 413 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_co,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cn,Uu))))) # label(fact_ATP_Olambda__190) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 414 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ck,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cj,Uu))))) # label(fact_ATP_Olambda__191) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 415 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cg,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,Uu))))) # label(fact_ATP_Olambda__192) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 416 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cc,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,Uu))))) # label(fact_ATP_Olambda__193) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 417 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ad,Uu)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,Uu))))) # label(fact_ATP_Olambda__194) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 418 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gf,Uu)) <-> pp(aa_fun171081125l_bool(scratc1306285283l_some(scratc2125640907d_frac),aa_TPT43085870d_bool(aTP_Lamm_ge,Uu))))) # label(fact_ATP_Olambda__195) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 419 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gd,Uu)) <-> pp(aa_fun171081125l_bool(scratc1306285283l_some(scratc2125640907d_frac),aa_TPT43085870d_bool(aTP_Lamm_gc,Uu))))) # label(fact_ATP_Olambda__196) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 420 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_od,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,scratc1770787712nd_n_1),aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uu))))) # label(fact_ATP_Olambda__197) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 421 (all Uu aa_TPT494704832TP_ind(aTP_Lamm_bt,Uu) = aa_TPT494704832TP_ind(scratc648853484d_repl,aa_TPTP_ind_TPTP_ind(scratc471353003tminus(Uu),aa_TPTP_ind_TPTP_ind(scratc1219980342d_Sing,scratc1343253458ptyset)))) # label(fact_ATP_Olambda__198) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 422 (all Uu (gg_TPTP_ind(Uu) -> (pp(aa_TPTP_ind_bool(aTP_Lamm_ar,Uu)) <-> Uu != scratc1343253458ptyset))) # label(fact_ATP_Olambda__199) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 423 (all Uu (gg_TPTP_ind(Uu) -> (pp(aa_TPTP_ind_bool(aTP_Lamm_br,Uu)) <-> (exists X2 (gg_TPTP_ind(X2) & aa_TPTP_ind_TPTP_ind(scratc2045088019d_Inj1,X2) = Uu))))) # label(fact_ATP_Olambda__200) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 424 (all Uu (gg_TPTP_ind(Uu) -> (pp(aa_TPTP_ind_bool(aTP_Lamm_bs,Uu)) <-> (exists X2 (gg_TPTP_ind(X2) & aa_TPTP_ind_TPTP_ind(scratc2045088018d_Inj0,X2) = Uu))))) # label(fact_ATP_Olambda__201) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 425 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ty,Uu),Uua)) <-> scratc1208816437_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uu),Uua)))) # label(fact_ATP_Olambda__202) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 426 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iq,Uu),Uua)) <-> scratc1208816437_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uu),Uua)))) # label(fact_ATP_Olambda__203) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 427 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tw,Uu),Uua)) <-> pp(scratc197147891nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__204) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 428 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_io,Uu),Uua)) <-> pp(scratc197147891nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__205) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 429 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tu,Uu),Uua)) <-> pp(scratc113548856nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__206) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 430 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_im,Uu),Uua)) <-> pp(scratc113548856nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__207) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 431 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ug,Uu),Uua)) <-> scratc1208816437_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc2050109925n_some,aa_TPT43085870d_bool(aTP_Lamm_ue(Uu),Uua)),aa_fun171081125l_bool(scratc2050109925n_some,aa_TPT43085870d_bool(aTP_Lamm_uf(Uu),Uua))))) # label(fact_ATP_Olambda__208) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 432 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uc,Uu),Uua)) <-> pp(scratc197147891nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc2050109925n_some,aa_TPT43085870d_bool(scratc477666757ffprop(Uu),Uua)),aa_fun171081125l_bool(scratc2050109925n_some,aa_TPT43085870d_bool(scratc477666757ffprop(Uua),Uu)))))) # label(fact_ATP_Olambda__209) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 433 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ua,Uu),Uua)) <-> pp(scratc113548856nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc2050109925n_some,aa_TPT43085870d_bool(scratc477666757ffprop(Uu),Uua)),aa_fun171081125l_bool(scratc2050109925n_some,aa_TPT43085870d_bool(scratc477666757ffprop(Uua),Uu)))))) # label(fact_ATP_Olambda__210) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 434 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ww,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc702645170d_e_is(Uu),Uua),Uua)))) # label(fact_ATP_Olambda__211) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 435 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iy,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc221108733d_n_fr,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(aa_TPTP_ind_TPTP_ind(scratc189083241nd_num,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(aa_TPTP_ind_TPTP_ind(scratc105418608nd_den,Uu)),Uua))),Uu)))) # label(fact_ATP_Olambda__212) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 436 (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(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uua)),Uua)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uu)),Uua))))) # label(fact_ATP_Olambda__213) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 437 (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(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uua)),Uu)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uua)))))) # label(fact_ATP_Olambda__214) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 438 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vj,Uu),Uua)) <-> pp(scratc940542640_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Uua),scratc1770787712nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uu)),aa_fun171081125l_bool(scratc365516464_n_all,aa_TPT43085870d_bool(aTP_Lamm_ao,Uua)))))) # label(fact_ATP_Olambda__215) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 439 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_np,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uua),scratc1770787712nd_n_1)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,Uua),Uu))))) # label(fact_ATP_Olambda__216) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 440 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nl,Uu),Uua)) <-> pp(scratc940542640_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Uua),scratc1770787712nd_n_1)),Uu),aa_fun171081125l_bool(scratc365516464_n_all,aa_TPT43085870d_bool(aTP_Lamm_am(Uu),Uua)))))) # label(fact_ATP_Olambda__217) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 441 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vt,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__218) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 442 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nf,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uua)),Uua))))) # label(fact_ATP_Olambda__219) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 443 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nn,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uua)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,Uua),Uu))))) # label(fact_ATP_Olambda__220) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 444 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vd,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uua)))))) # label(fact_ATP_Olambda__221) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 445 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nt,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uua),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),scratc1770787712nd_n_1))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Uua),Uu))))) # label(fact_ATP_Olambda__222) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 446 (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(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uua)),Uu))))) # label(fact_ATP_Olambda__223) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 447 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nr,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uua),aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uu))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Uua),Uu))))) # label(fact_ATP_Olambda__224) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 448 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vg,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uua)))))) # label(fact_ATP_Olambda__225) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 449 (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(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Uu),aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Uu),Uua)))))) # label(fact_ATP_Olambda__226) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 450 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nx,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uua),scratc1770787712nd_n_1)),Uu))))) # label(fact_ATP_Olambda__227) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 451 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vo,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc188296059nd_nis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc188296059nd_nis,aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uua)))))) # label(fact_ATP_Olambda__228) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 452 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aq,Uu),Uua)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc147250927nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305526d_n_in,Uua),Uu)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305526d_n_in,aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uua)),Uu))))) # label(fact_ATP_Olambda__229) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 453 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nv,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uua)),Uu))))) # label(fact_ATP_Olambda__230) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 454 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ob,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,Uua),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),scratc1770787712nd_n_1)))))) # label(fact_ATP_Olambda__231) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 455 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nz,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,Uua),aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uu)))))) # label(fact_ATP_Olambda__232) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 456 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mx,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uua),Uu))))) # label(fact_ATP_Olambda__233) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 457 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_us,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uua),Uu))))) # label(fact_ATP_Olambda__234) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 458 (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(scratc221043133d_n_eq,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uua),Uu))))) # label(fact_ATP_Olambda__235) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 459 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ts,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uua),Uu))))) # label(fact_ATP_Olambda__236) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 460 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_to,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Uua),Uu))))) # label(fact_ATP_Olambda__237) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 461 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tm,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,Uua),Uu))))) # label(fact_ATP_Olambda__238) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 462 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gy,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744043138lesseq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424383_moreq,Uua),Uu))))) # label(fact_ATP_Olambda__239) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 463 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ha,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424383_moreq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744043138lesseq,Uua),Uu))))) # label(fact_ATP_Olambda__240) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 464 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ik,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uua),Uu))))) # label(fact_ATP_Olambda__241) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 465 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ii,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,Uua),Uu))))) # label(fact_ATP_Olambda__242) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 466 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jf,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uua),Uu))))) # label(fact_ATP_Olambda__243) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 467 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tq,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uua),Uu))))) # label(fact_ATP_Olambda__244) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 468 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ga,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uu),Uua)) -> pp(aa_fun171081125l_bool(scratc1306285283l_some(scratc2125640907d_frac),aa_TPT43085870d_bool(aTP_Lamm_fz(Uu),Uua)))))) # label(fact_ATP_Olambda__245) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 469 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tc,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uu),Uua)) -> pp(scratc1048007820_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Uu),Uua)))))) # label(fact_ATP_Olambda__246) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 470 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tk,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,Uu),Uua)) -> pp(scratc1048007820_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uu),Uua)))))) # label(fact_ATP_Olambda__247) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 471 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ti,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Uu),Uua)) -> pp(scratc1048007820_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uu),Uua)))))) # label(fact_ATP_Olambda__248) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 472 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hw,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744043138lesseq,Uu),Uua)) -> pp(scratc1048007820_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,Uu),Uua)))))) # label(fact_ATP_Olambda__249) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 473 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hy,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424383_moreq,Uu),Uua)) -> pp(scratc1048007820_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uu),Uua)))))) # label(fact_ATP_Olambda__250) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 474 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hq,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,Uu),Uua)) -> pp(scratc1048007820_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744043138lesseq,Uu),Uua)))))) # label(fact_ATP_Olambda__251) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 475 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ho,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uu),Uua)) -> pp(scratc1048007820_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424383_moreq,Uu),Uua)))))) # label(fact_ATP_Olambda__252) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 476 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ta,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uu),Uua)) -> pp(scratc1048007820_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,Uu),Uua)))))) # label(fact_ATP_Olambda__253) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 477 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sc,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uua)),Uu)))) # label(fact_ATP_Olambda__254) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 478 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fh,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uu),Uua)),Uu)))) # label(fact_ATP_Olambda__255) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 479 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_ak(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Uu),Uua)),Uua)) # label(fact_ATP_Olambda__256) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 480 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_bq(Uu),Uua) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc648853484d_repl,aa_TPTP_ind_TPTP_ind(Uu,Uua)),aa_TPT1424761345TP_ind(scratc1201657527d_pair,Uua))) # label(fact_ATP_Olambda__257) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 481 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_vx,Uu)),aa_TPT43085870d_bool(aTP_Lamm_vy(Uu),Uua))))) # label(fact_ATP_Olambda__258) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 482 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ux,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uua))),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uu)),Uua))))) # label(fact_ATP_Olambda__259) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 483 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_va,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uua))),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uua)))))) # label(fact_ATP_Olambda__260) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 484 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tg,Uu),Uua)) <-> (pp(scratc1048007820_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Uu),Uua))))) # label(fact_ATP_Olambda__261) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 485 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sy,Uu),Uua)) <-> (pp(scratc1048007820_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__262) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 486 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sw,Uu),Uua)) <-> (pp(scratc1048007820_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__263) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 487 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hk,Uu),Uua)) <-> (pp(scratc1048007820_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744043138lesseq,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,Uu),Uua))))) # label(fact_ATP_Olambda__264) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 488 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hm,Uu),Uua)) <-> (pp(scratc1048007820_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424383_moreq,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__265) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 489 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hu,Uu),Uua)) <-> (pp(scratc1048007820_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744043138lesseq,Uu),Uua))))) # label(fact_ATP_Olambda__266) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 490 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hs,Uu),Uua)) <-> (pp(scratc1048007820_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424383_moreq,Uu),Uua))))) # label(fact_ATP_Olambda__267) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 491 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_te,Uu),Uua)) <-> (pp(scratc1048007820_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,Uu),Uua))))) # label(fact_ATP_Olambda__268) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 492 (all Uu all Uua aa_fun277296641TP_ind(aa_TPT494704832TP_ind(aTP_Lamm_bu,Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc555067461nunion(aa_TPTP_ind_TPTP_ind(scratc1219980342d_Sing,scratc1343253458ptyset)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc648853484d_repl,Uu),Uua))) # label(fact_ATP_Olambda__269) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 493 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ja,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uu),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc221108733d_n_fr,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(aa_TPTP_ind_TPTP_ind(scratc189083241nd_num,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(aa_TPTP_ind_TPTP_ind(scratc105418608nd_den,Uu)),Uua)))))) # label(fact_ATP_Olambda__270) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 494 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ff,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uu),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uu),Uua))))) # label(fact_ATP_Olambda__271) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 495 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uq,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc188296059nd_nis,Uua),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uua))))) # label(fact_ATP_Olambda__272) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 496 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sa,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uu),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uua))))) # label(fact_ATP_Olambda__273) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 497 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ap,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uua))))) # label(fact_ATP_Olambda__274) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 498 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vx,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,Uua),aa_TPTP_ind_TPTP_ind(scratc155457480_power,Uu))))) # label(fact_ATP_Olambda__275) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 499 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ai,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Uua),Uu)))) # label(fact_ATP_Olambda__276) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 500 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ge,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,Uua),Uu)))) # label(fact_ATP_Olambda__277) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 501 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gc,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uua),Uu)))) # label(fact_ATP_Olambda__278) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 502 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vr,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305526d_n_in,Uua),Uu)))) # label(fact_ATP_Olambda__279) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 503 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bv,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc186196886nd_nIn,Uua),Uu)))) # label(fact_ATP_Olambda__280) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 504 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_as,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,Uua),Uu)))) # label(fact_ATP_Olambda__281) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 505 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_uu(Uu),Uua))))) # label(fact_ATP_Olambda__282) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 506 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uo,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_un(Uu),Uua))))) # label(fact_ATP_Olambda__283) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 507 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ul,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_uk(Uu),Uua))))) # label(fact_ATP_Olambda__284) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 508 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_su,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_st(Uu),Uua))))) # label(fact_ATP_Olambda__285) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 509 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_sq(Uu),Uua))))) # label(fact_ATP_Olambda__286) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 510 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_so,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_sn(Uu),Uua))))) # label(fact_ATP_Olambda__287) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 511 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_sk(Uu),Uua))))) # label(fact_ATP_Olambda__288) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 512 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_si,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_sh(Uu),Uua))))) # label(fact_ATP_Olambda__289) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 513 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_se(Uu),Uua))))) # label(fact_ATP_Olambda__290) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 514 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_rv(Uu),Uua))))) # label(fact_ATP_Olambda__291) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 515 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_rs(Uu),Uua))))) # label(fact_ATP_Olambda__292) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 516 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_rp(Uu),Uua))))) # label(fact_ATP_Olambda__293) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 517 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_rm(Uu),Uua))))) # label(fact_ATP_Olambda__294) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 518 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_rj(Uu),Uua))))) # label(fact_ATP_Olambda__295) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 519 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_rg(Uu),Uua))))) # label(fact_ATP_Olambda__296) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 520 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_re,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_rd(Uu),Uua))))) # label(fact_ATP_Olambda__297) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 521 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ra,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_qz(Uu),Uua))))) # label(fact_ATP_Olambda__298) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 522 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_qv(Uu),Uua))))) # label(fact_ATP_Olambda__299) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 523 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qs,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_qr(Uu),Uua))))) # label(fact_ATP_Olambda__300) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 524 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qo,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_qn(Uu),Uua))))) # label(fact_ATP_Olambda__301) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 525 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ql,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_qk(Uu),Uua))))) # label(fact_ATP_Olambda__302) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 526 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qi,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_qh(Uu),Uua))))) # label(fact_ATP_Olambda__303) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 527 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_qe(Uu),Uua))))) # label(fact_ATP_Olambda__304) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 528 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_qb(Uu),Uua))))) # label(fact_ATP_Olambda__305) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 529 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_py(Uu),Uua))))) # label(fact_ATP_Olambda__306) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 530 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_pv(Uu),Uua))))) # label(fact_ATP_Olambda__307) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 531 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ps(Uu),Uua))))) # label(fact_ATP_Olambda__308) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 532 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_pp(Uu),Uua))))) # label(fact_ATP_Olambda__309) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 533 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_pm(Uu),Uua))))) # label(fact_ATP_Olambda__310) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 534 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_pj(Uu),Uua))))) # label(fact_ATP_Olambda__311) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 535 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_pf(Uu),Uua))))) # label(fact_ATP_Olambda__312) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 536 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_pb(Uu),Uua))))) # label(fact_ATP_Olambda__313) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 537 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ox(Uu),Uua))))) # label(fact_ATP_Olambda__314) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 538 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ou,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ot(Uu),Uua))))) # label(fact_ATP_Olambda__315) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 539 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_op(Uu),Uua))))) # label(fact_ATP_Olambda__316) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 540 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_om,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ol(Uu),Uua))))) # label(fact_ATP_Olambda__317) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 541 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oi,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_oh(Uu),Uua))))) # label(fact_ATP_Olambda__318) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 542 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_mu(Uu),Uua))))) # label(fact_ATP_Olambda__319) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 543 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ms,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_mr(Uu),Uua))))) # label(fact_ATP_Olambda__320) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 544 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_mo(Uu),Uua))))) # label(fact_ATP_Olambda__321) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 545 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ml(Uu),Uua))))) # label(fact_ATP_Olambda__322) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 546 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_mi(Uu),Uua))))) # label(fact_ATP_Olambda__323) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 547 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_mf(Uu),Uua))))) # label(fact_ATP_Olambda__324) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 548 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_md,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_mc(Uu),Uua))))) # label(fact_ATP_Olambda__325) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 549 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ma,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_lz(Uu),Uua))))) # label(fact_ATP_Olambda__326) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 550 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_lw(Uu),Uua))))) # label(fact_ATP_Olambda__327) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 551 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ls(Uu),Uua))))) # label(fact_ATP_Olambda__328) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 552 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_lo(Uu),Uua))))) # label(fact_ATP_Olambda__329) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 553 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ll,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_lk(Uu),Uua))))) # label(fact_ATP_Olambda__330) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 554 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_lg(Uu),Uua))))) # label(fact_ATP_Olambda__331) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 555 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_le,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ld(Uu),Uua))))) # label(fact_ATP_Olambda__332) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 556 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_la(Uu),Uua))))) # label(fact_ATP_Olambda__333) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 557 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ky,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_kx(Uu),Uua))))) # label(fact_ATP_Olambda__334) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 558 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ku(Uu),Uua))))) # label(fact_ATP_Olambda__335) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 559 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ks,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_kr(Uu),Uua))))) # label(fact_ATP_Olambda__336) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 560 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_ko(Uu),Uua))))) # label(fact_ATP_Olambda__337) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 561 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_km,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_kl(Uu),Uua))))) # label(fact_ATP_Olambda__338) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 562 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ki,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_kh(Uu),Uua))))) # label(fact_ATP_Olambda__339) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 563 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ke,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_kd(Uu),Uua))))) # label(fact_ATP_Olambda__340) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 564 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ka,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_jz(Uu),Uua))))) # label(fact_ATP_Olambda__341) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 565 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_jv(Uu),Uua))))) # label(fact_ATP_Olambda__342) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 566 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_js,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_jr(Uu),Uua))))) # label(fact_ATP_Olambda__343) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 567 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jo,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_jn(Uu),Uua))))) # label(fact_ATP_Olambda__344) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 568 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_jj(Uu),Uua))))) # label(fact_ATP_Olambda__345) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 569 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_iv(Uu),Uua))))) # label(fact_ATP_Olambda__346) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 570 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_it,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_is(Uu),Uua))))) # label(fact_ATP_Olambda__347) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 571 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ft,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_fs(Uu),Uua))))) # label(fact_ATP_Olambda__348) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 572 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aTP_Lamm_fp(Uu),Uua))))) # label(fact_ATP_Olambda__349) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 573 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_jc(Uu),Uua))))) # label(fact_ATP_Olambda__350) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 574 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ig,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_if(Uu),Uua))))) # label(fact_ATP_Olambda__351) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 575 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ic,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ib(Uu),Uua))))) # label(fact_ATP_Olambda__352) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 576 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hi,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hh(Uu),Uua))))) # label(fact_ATP_Olambda__353) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 577 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_he,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hd(Uu),Uua))))) # label(fact_ATP_Olambda__354) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 578 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gv(Uu),Uua))))) # label(fact_ATP_Olambda__355) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 579 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gs(Uu),Uua))))) # label(fact_ATP_Olambda__356) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 580 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gp(Uu),Uua))))) # label(fact_ATP_Olambda__357) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 581 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gm(Uu),Uua))))) # label(fact_ATP_Olambda__358) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 582 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gj(Uu),Uua))))) # label(fact_ATP_Olambda__359) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 583 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gg(Uu),Uua))))) # label(fact_ATP_Olambda__360) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 584 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fw(Uu),Uua))))) # label(fact_ATP_Olambda__361) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 585 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fj(Uu),Uua))))) # label(fact_ATP_Olambda__362) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 586 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fc(Uu),Uua))))) # label(fact_ATP_Olambda__363) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 587 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fa,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ez(Uu),Uua))))) # label(fact_ATP_Olambda__364) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 588 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ex,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ew(Uu),Uua))))) # label(fact_ATP_Olambda__365) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 589 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_et(Uu),Uua))))) # label(fact_ATP_Olambda__366) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 590 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_er,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_eq(Uu),Uua))))) # label(fact_ATP_Olambda__367) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 591 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eo,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_en(Uu),Uua))))) # label(fact_ATP_Olambda__368) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 592 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_el,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ek(Uu),Uua))))) # label(fact_ATP_Olambda__369) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 593 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_eg(Uu),Uua))))) # label(fact_ATP_Olambda__370) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 594 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ed,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ec(Uu),Uua))))) # label(fact_ATP_Olambda__371) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 595 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dy(Uu),Uua))))) # label(fact_ATP_Olambda__372) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 596 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_du(Uu),Uua))))) # label(fact_ATP_Olambda__373) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 597 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ds,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dr(Uu),Uua))))) # label(fact_ATP_Olambda__374) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 598 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_do(Uu),Uua))))) # label(fact_ATP_Olambda__375) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 599 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dl(Uu),Uua))))) # label(fact_ATP_Olambda__376) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 600 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_di(Uu),Uua))))) # label(fact_ATP_Olambda__377) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 601 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_df(Uu),Uua))))) # label(fact_ATP_Olambda__378) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 602 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dc(Uu),Uua))))) # label(fact_ATP_Olambda__379) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 603 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cy(Uu),Uua))))) # label(fact_ATP_Olambda__380) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 604 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cu(Uu),Uua))))) # label(fact_ATP_Olambda__381) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 605 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cq(Uu),Uua))))) # label(fact_ATP_Olambda__382) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 606 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cm(Uu),Uua))))) # label(fact_ATP_Olambda__383) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 607 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ci(Uu),Uua))))) # label(fact_ATP_Olambda__384) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 608 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ce(Uu),Uua))))) # label(fact_ATP_Olambda__385) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 609 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ca(Uu),Uua))))) # label(fact_ATP_Olambda__386) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 610 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(Uu),Uua))))) # label(fact_ATP_Olambda__387) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 611 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ui,Uu),Uua)) <-> pp(scratc762669917_amone(scratc187771268nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ue(Uu),Uua))))) # label(fact_ATP_Olambda__388) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 612 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_an(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Uu),Uua))) # label(fact_ATP_Olambda__389) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 613 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_bn(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc662719346_union,aa_TPTP_ind_TPTP_ind(Uu,Uua))) # label(fact_ATP_Olambda__390) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 614 (all Uu all Uua (gg_TPTP_ind(Uua) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bp,Uu),Uua)) <-> (exists X3 (gg_TPTP_ind(X3) & Uua = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1201657527d_pair,Uu),X3)))))) # label(fact_ATP_Olambda__391) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 615 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wh(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc702645170d_e_is(aa_TPTP_ind_TPTP_ind(scratc912173500etprod(Uu),Uua)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc168268961d_pair(Uu,Uua),aa_TPTP_ind_TPTP_ind(scratc1215771443_first(Uu,Uua),Uub)),aa_TPTP_ind_TPTP_ind(scratc1563661169second(Uu,Uua),Uub))),Uub)))) # label(fact_ATP_Olambda__392) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 616 (all Uu all Uua all Uub aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aTP_Lamm_bx(Uu),Uua),Uub) = aa_TPTP_ind_TPTP_ind(scratc815698362bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,scratc1343253458ptyset),Uub),Uu),Uua)) # label(fact_ATP_Olambda__393) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 617 (all Uu all Uua all Uub aa_TPTP_ind_TPTP_ind(aa_fun1235454963TP_ind(aTP_Lamm_bw(Uu),Uua),Uub) = aa_TPTP_ind_TPTP_ind(scratc815698362bnd_if(aa_TPTP_ind_bool(Uua,Uub),Uub),scratc114401707nd_eps(aa_fun1584354236d_bool(aTP_Lamm_bk(Uu),Uua)))) # label(fact_ATP_Olambda__394) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 618 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bd(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1354561600d_esti(Uu),Uub),Uua)))) # label(fact_ATP_Olambda__395) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 619 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_wa(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1354561600d_esti(Uu),Uub),aa_fun1431113780TP_ind(scratc824291191_d_Sep(Uu),Uua))) -> pp(aa_TPTP_ind_bool(Uua,Uub))))) # label(fact_ATP_Olambda__396) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 620 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vy(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc139520395d_incl(Uu),Uua),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc139520395d_incl(Uu),Uub),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc702645170d_e_is(aa_TPTP_ind_TPTP_ind(scratc155457480_power,Uu)),Uua),Uub)))))) # label(fact_ATP_Olambda__397) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 621 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wi(Uu),Uua),Uub)) <-> scratc1953087038_is_of(aa_TPTP_ind_TPTP_ind(scratc1563661169second(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_as,Uua)))) # label(fact_ATP_Olambda__398) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 622 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wj(Uu),Uua),Uub)) <-> scratc1953087038_is_of(aa_TPTP_ind_TPTP_ind(scratc1215771443_first(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_as,Uu)))) # label(fact_ATP_Olambda__399) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 623 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_wp(Uu),Uua),Uub)) <-> scratc1953087038_is_of(aa_TPTP_ind_TPTP_ind(scratc702645165d_e_in(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_as,Uu)))) # label(fact_ATP_Olambda__400) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 624 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wt(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_wq(Uu),Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ws(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__401) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 625 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fs(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc221108733d_n_fr,Uu),Uub)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc221108733d_n_fr,Uua),Uub))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc221108733d_n_fr,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uua)),Uub))))) # label(fact_ATP_Olambda__402) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 626 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_is(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc221108733d_n_fr,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uua),Uub))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc221108733d_n_fr,Uu),Uua))))) # label(fact_ATP_Olambda__403) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 627 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ku(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__404) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 628 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qb(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__405) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 629 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ps(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__406) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 630 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_du(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,Uu),Uua))))) # label(fact_ATP_Olambda__407) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 631 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dl(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,Uu),Uua))))) # label(fact_ATP_Olambda__408) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 632 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_do(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__409) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 633 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__410) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 634 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kr(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__411) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 635 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uk(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uua),Uub))))) # label(fact_ATP_Olambda__412) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 636 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_py(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__413) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 637 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pp(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__414) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 638 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dr(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uu),Uua))))) # label(fact_ATP_Olambda__415) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 639 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_di(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uu),Uua))))) # label(fact_ATP_Olambda__416) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.65 640 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ko(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__417) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 641 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pv(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__418) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 642 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pm(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__419) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 643 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fp(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc221108733d_n_fr,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc221108733d_n_fr,Uu),Uub)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc221108733d_n_fr,Uua),Uub)))))) # label(fact_ATP_Olambda__420) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 644 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mr(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__421) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 645 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uu(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__422) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 646 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fj(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uu),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__423) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 647 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mu(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uua),Uub))),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uub)))))) # label(fact_ATP_Olambda__424) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 648 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_am(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(scratc1278250406rdsucc,Uub))),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Uua),Uub)),Uu))))) # label(fact_ATP_Olambda__425) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 649 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iv(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc221108733d_n_fr,Uu),Uua)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc221108733d_n_fr,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__426) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 650 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mo(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__427) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 651 (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(scratc1356905198_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__428) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 652 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rv(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__429) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 653 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rm(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__430) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 654 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sh(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uu),Uub)))))) # label(fact_ATP_Olambda__431) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 655 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lg(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__432) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 656 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ld(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__433) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 657 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qn(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__434) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 658 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qk(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__435) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 659 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sk(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uu),Uub)))))) # label(fact_ATP_Olambda__436) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 660 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_la(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__437) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 661 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kx(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__438) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 662 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qh(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__439) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 663 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qe(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__440) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 664 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_se(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Uu),Uub)))))) # label(fact_ATP_Olambda__441) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 665 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__442) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 666 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gg(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744043138lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744043138lesseq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744043138lesseq,Uu),Uub)))))) # label(fact_ATP_Olambda__443) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 667 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gs(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744043138lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__444) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 668 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gm(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424383_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,Uu),Uub)))))) # label(fact_ATP_Olambda__445) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 669 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fc(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__446) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 670 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_et(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uub),Uua)))))) # label(fact_ATP_Olambda__447) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 671 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gj(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424383_moreq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,Uu),Uub)))))) # label(fact_ATP_Olambda__448) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 672 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ew(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__449) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 673 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_en(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uub),Uua)))))) # label(fact_ATP_Olambda__450) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 674 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gp(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744043138lesseq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__451) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 675 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gv(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__452) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 676 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ml(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__453) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 677 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mc(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__454) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 678 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rs(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__455) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 679 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rj(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__456) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 680 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ez(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__457) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 681 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uub),Uua)))))) # label(fact_ATP_Olambda__458) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 682 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jc(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uu),Uub)))))) # label(fact_ATP_Olambda__459) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 683 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_un(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc188296059nd_nis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc188296059nd_nis,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uub)))))) # label(fact_ATP_Olambda__460) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 684 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mi(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__461) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 685 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lz(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__462) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 686 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rp(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__463) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 687 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rg(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__464) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 688 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sn(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__465) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 689 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_st(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__466) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 690 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fz(Uu),Uua),Uub)) <-> pp(scratc940542640_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uu),Uub),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uub),Uua))))) # label(fact_ATP_Olambda__467) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 691 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_bk(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,Uub),Uu)) & pp(aa_TPTP_ind_bool(Uua,Uub)))) # label(fact_ATP_Olambda__468) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 692 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_wm(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173129374_image(aa_fun1431113780TP_ind(scratc824291191_d_Sep(Uu),Uua),Uu),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1307391646_Sigma,aa_fun1431113780TP_ind(scratc824291191_d_Sep(Uu),Uua)),scratc702645165d_e_in(Uu,Uua))),Uub))))) # label(fact_ATP_Olambda__469) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 693 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_wb(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1354561600d_esti(Uu),Uub),aa_fun1431113780TP_ind(scratc824291191_d_Sep(Uu),Uua)))))) # label(fact_ATP_Olambda__470) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 694 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_wv(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_as,Uu)),aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_wu(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__471) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 695 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_bm(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_as,Uu)),aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_bl(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__472) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 696 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wl(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_as,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wk(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__473) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 697 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wf(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_as,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_we(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__474) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 698 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wd(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_as,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wc(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__475) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 699 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wq(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,Uub),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1708924544d_d_Pi,Uu),aTP_Lamm_ah(Uua)))))) # label(fact_ATP_Olambda__476) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 700 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ue(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uua),Uub))))) # label(fact_ATP_Olambda__477) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 701 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uf(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uua),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uub))))) # label(fact_ATP_Olambda__478) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 702 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wg(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,Uub),aa_TPTP_ind_TPTP_ind(scratc912173500etprod(Uu),Uua))))) # label(fact_ATP_Olambda__479) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 703 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_wn(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,Uub),aa_fun1431113780TP_ind(scratc824291191_d_Sep(Uu),Uua))))) # label(fact_ATP_Olambda__480) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 704 (all Uu all Uua all Uub aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aTP_Lamm_bf(Uu),Uua),Uub) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Uu),Uub))) # label(fact_ATP_Olambda__481) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 705 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rd(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_rc(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__482) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 706 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qz(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qy(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__483) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 707 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qv(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qu(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__484) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 708 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qr(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qq(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__485) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 709 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pj(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pi(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__486) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 710 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pf(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pe(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__487) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 711 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pb(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pa(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__488) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 712 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ox(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ow(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__489) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 713 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ot(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_os(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__490) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 714 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_op(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_oo(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__491) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 715 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ol(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ok(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__492) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 716 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oh(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_og(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__493) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 717 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lw(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lv(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__494) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 718 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ls(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lr(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__495) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 719 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lo(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ln(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__496) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 720 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lk(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lj(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__497) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 721 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kl(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_kk(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__498) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 722 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kh(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_kg(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__499) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 723 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kd(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_kc(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__500) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 724 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jz(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jy(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__501) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 725 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jv(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ju(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__502) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 726 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jr(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jq(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__503) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 727 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jn(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jm(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__504) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 728 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jj(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_fo),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ji(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__505) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 729 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_if(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ie(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__506) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 730 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ib(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ia(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__507) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 731 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hh(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hg(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__508) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 732 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hd(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hc(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__509) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 733 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fw(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fv(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__510) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 734 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ek(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ej(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__511) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 735 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eg(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ef(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__512) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 736 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ec(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_eb(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__513) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 737 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dy(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dx(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__514) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 738 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dc(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_db(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__515) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 739 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cy(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cx(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__516) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 740 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cu(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ct(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__517) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 741 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cq(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cp(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__518) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 742 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cm(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cl(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__519) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 743 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ci(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ch(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__520) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 744 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ce(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cd(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__521) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 745 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ca(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__522) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 746 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__523) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 747 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_wo(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(Uua,aa_TPTP_ind_TPTP_ind(scratc702645165d_e_in(Uu,Uua),Uub))))) # label(fact_ATP_Olambda__524) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 748 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1913827119d_bool(aTP_Lamm_bo(Uu),Uua),Uub)) <-> (all X3 (gg_TPTP_ind(X3) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,X3),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc815698370bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Uub),X3)),aa_TPTP_ind_TPTP_ind(Uua,X3)))))))) # label(fact_ATP_Olambda__525) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 749 (all Uu all Uua all Uub all Uuc aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ag(Uu),Uua),Uub),Uuc) = aa_TPTP_ind_TPTP_ind(scratc147710109nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc702645170d_e_is(aa_TPTP_ind_TPTP_ind(scratc544384005_d_1to,scratc1770787713nd_n_2)),Uuc),scratc217631988d_n_1t),Uu,Uua),Uub)) # label(fact_ATP_Olambda__526) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 750 (all Uu all Uua all Uub all Uuc aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_bg(Uu),Uua),Uub),Uuc) = aa_TPTP_ind_TPTP_ind(scratc815698362bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173129374_image(Uu,Uua),Uub),Uuc),aa_TPTP_ind_TPTP_ind(scratc1511399751d_soft(Uu,Uua,Uub),Uuc)),scratc1343253458ptyset)) # label(fact_ATP_Olambda__527) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 751 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_we(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc702645170d_e_is(Uu),aa_TPTP_ind_TPTP_ind(scratc1215771443_first(Uu,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc168268961d_pair(Uu,Uua),Uub),Uuc))),Uub)))) # label(fact_ATP_Olambda__528) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 752 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wc(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc702645170d_e_is(Uua),aa_TPTP_ind_TPTP_ind(scratc1563661169second(Uu,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc168268961d_pair(Uu,Uua),Uub),Uuc))),Uuc)))) # label(fact_ATP_Olambda__529) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 753 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wr(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc702645170d_e_is(Uu),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Uua),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Uub),Uuc))))) # label(fact_ATP_Olambda__530) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 754 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_az(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1354561600d_esti(Uu),Uub),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Uua),Uuc))))) # label(fact_ATP_Olambda__531) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 755 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bh(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc702645170d_e_is(Uu),Uub),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Uua),Uuc))))) # label(fact_ATP_Olambda__532) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 756 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wk(Uu),Uua),Uub),Uuc)) <-> scratc1953087038_is_of(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc168268961d_pair(Uu,Uua),Uub),Uuc),aa_TPT43085870d_bool(aTP_Lamm_wg(Uu),Uua)))) # label(fact_ATP_Olambda__533) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 757 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bb(Uu),Uua),Uub),Uuc)) <-> pp(scratc89398189d_l_ec(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1354561600d_esti(Uu),Uuc),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1354561600d_esti(Uu),Uuc),Uub))))) # label(fact_ATP_Olambda__534) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 758 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bc(Uu),Uua),Uub),Uuc)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc147250927nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1354561600d_esti(Uu),Uuc),Uua)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1354561600d_esti(Uu),Uuc),Uub))))) # label(fact_ATP_Olambda__535) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 759 (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(scratc221043133d_n_eq,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uua),Uub)),Uu)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uua),Uuc)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uub),Uuc)))))) # label(fact_ATP_Olambda__536) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 760 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ws(Uu),Uua),Uub),Uuc)) <-> (pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_as,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wr(Uua),Uub),Uuc))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc702645170d_e_is(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1708924544d_d_Pi,Uu),aTP_Lamm_ah(Uua))),Uub),Uuc))))) # label(fact_ATP_Olambda__537) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 761 (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_by(Uu),Uua),Uub),Uuc)) <-> pp(Uu) & Uuc = Uua | -pp(Uu) & Uuc = Uub))) # label(fact_ATP_Olambda__538) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 762 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_kk(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__539) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 763 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pi(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__540) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 764 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jy(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__541) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 765 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ow(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__542) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 766 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_kc(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__543) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 767 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pa(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__544) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 768 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jm(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__545) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 769 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ok(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc878289148moreis,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__546) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 770 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ji(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__547) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 771 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_og(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__548) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 772 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ju(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__549) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 773 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_os(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__550) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 774 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744043138lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744043138lesseq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744043138lesseq,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__551) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 775 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cl(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744043138lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__552) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 776 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hc(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744043138lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744043138lesseq,Uub),Uuc))))))) # label(fact_ATP_Olambda__553) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 777 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cd(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424383_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424383_moreq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424383_moreq,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__554) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 778 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ct(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424383_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__555) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 779 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hg(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424383_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424383_moreq,Uub),Uuc))))))) # label(fact_ATP_Olambda__556) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 780 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cp(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424383_moreq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__557) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 781 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_db(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__558) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 782 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ie(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,Uub),Uuc))))))) # label(fact_ATP_Olambda__559) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 783 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ch(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744043138lesseq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__560) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 784 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cx(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__561) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 785 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ia(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uub),Uuc))))))) # label(fact_ATP_Olambda__562) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 786 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lv(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__563) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 787 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lr(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uuc),Uua))))))) # label(fact_ATP_Olambda__564) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 788 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_rc(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__565) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 789 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qy(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1356905198_29_ii,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uuc),Uua))))))) # label(fact_ATP_Olambda__566) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 790 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ln(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__567) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 791 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lj(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uuc),Uua))))))) # label(fact_ATP_Olambda__568) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 792 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qu(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__569) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 793 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qq(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221305531d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uuc),Uua))))))) # label(fact_ATP_Olambda__570) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 794 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ej(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__571) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 795 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ef(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc990424372_moref,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uuc),Uua))))))) # label(fact_ATP_Olambda__572) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 796 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_eb(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__573) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 797 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dx(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc644102576_lessf,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uuc),Uua))))))) # label(fact_ATP_Olambda__574) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 798 (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(scratc221043133d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc221043133d_n_eq,aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764711d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__575) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 799 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jq(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__576) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 800 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_oo(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc744305536lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__577) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 801 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_kg(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc222027120d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__578) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 802 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pe(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146988524nd_iii,aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc221764717d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__579) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 803 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_wu(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc702645170d_e_is(Uu),Uub),Uuc)) -> pp(aa_TPTP_ind_bool(Uua,Uuc)))))) # label(fact_ATP_Olambda__580) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 804 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_bl(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(scratc702645170d_e_is(Uu),Uub),Uuc)))))) # label(fact_ATP_Olambda__581) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 805 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bj(Uu),Uua),Uub),Uuc)) <-> pp(aa_fun171081125l_bool(scratc81093284nd_all(Uu),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_bi(Uu),Uua),Uub),Uuc))))) # label(fact_ATP_Olambda__582) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 806 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ba(Uu),Uua),Uub),Uuc)) <-> pp(aa_fun171081125l_bool(scratc1306285283l_some(Uua),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_az(Uu),Uub),Uuc))))) # label(fact_ATP_Olambda__583) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 807 (all Uu all Uua all Uub all Uuc aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ae(Uu),Uua),Uub),Uuc) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Uub),aa_TPTP_ind_TPTP_ind(scratc1066650093ght1to(Uu,Uua),Uuc))) # label(fact_ATP_Olambda__584) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 808 (all Uu all Uua all Uub all Uuc aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_af(Uu),Uua),Uub),Uuc) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Uub),aa_TPTP_ind_TPTP_ind(scratc1046693544eft1to(Uu,Uua),Uuc))) # label(fact_ATP_Olambda__585) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 809 (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_bi(Uu),Uua),Uub),Uuc),Uud)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc147250927nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc702645170d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Uub),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Uub),Uud))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc702645170d_e_is(Uu),Uuc),Uud))))) # label(fact_ATP_Olambda__586) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 810 (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_ax(Uu),Uua),Uub),Uuc),Uud)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(Uu,Uuc),Uud)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc702645170d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Uub),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Uub),Uud)))))) # label(fact_ATP_Olambda__587) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 811 (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_aw(Uu),Uua),Uub),Uuc),Uud)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_as,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_fun845057962d_bool(aTP_Lamm_av(Uu),Uua),Uub),Uuc),Uud))))) # label(fact_ATP_Olambda__588) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 812 (all Uu all Uua all Uub all Uuc all Uud (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_fun987228051d_bool(aTP_Lamm_ay(Uu),Uua),Uub),Uuc),Uud)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_as,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_ax(Uua),Uub),Uuc),Uud))))) # label(fact_ATP_Olambda__589) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 813 (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_be(Uu),Uua),Uub),Uuc),Uud) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,aa_TPTP_ind_TPTP_ind(scratc804445238wissel(Uu,Uub),Uuc)),Uud))) # label(fact_ATP_Olambda__590) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.66 814 (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_av(Uu),Uua),Uub),Uuc),Uud),Uue)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_as,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_TPT985247859d_bool(aa_fun1107270209d_bool(aTP_Lamm_au(Uu),Uua),Uub),Uuc),Uud),Uue))))) # label(fact_ATP_Olambda__591) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.67 815 (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_at(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(scratc702645170d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Uub),Uuc)),Uue)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc815173580bnd_ap,Uub),Uud)),Uuf))))))) # label(fact_ATP_Olambda__592) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.67 816 (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_au(Uu),Uua),Uub),Uuc),Uud),Uue),Uuf)) <-> pp(aa_fun171081125l_bool(scratc48140827all_of(aa_TPT43085870d_bool(aTP_Lamm_as,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_TPT985247859d_bool(aa_TPT125613450d_bool(aTP_Lamm_at(Uua),Uub),Uuc),Uud),Uue),Uuf))))) # label(fact_ATP_Olambda__593) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.67 817 (all Uu all Uua (gg_TPTP_ind(Uu) -> aa_TPTP_ind_TPTP_ind(aTP_Lamm_ah(Uu),Uua) = Uu)) # label(fact_ATP_Olambda__594) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.67 818 (all Uu (gg_TPTP_ind(Uu) -> aa_TPTP_ind_TPTP_ind(aTP_Lamm_al,Uu) = Uu)) # label(fact_ATP_Olambda__595) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.67 819 (all Uu aa_TPTP_ind_TPTP_ind(aTP_Lamm_aj,Uu) = scratc187771268nd_nat) # label(fact_ATP_Olambda__596) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.67 820 (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].
% 1.24/1.67 821 (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].
% 1.24/1.67 822 (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].
% 1.24/1.67 823 (all P (gg_bool(P) -> P = fTrue | P = fFalse)) # label(help_fFalse_1_1_T) # label(axiom) # label(non_clause). [assumption].
% 1.24/1.67 824 (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].
% 1.24/1.67 825 (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].
% 1.24/1.67 826 (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].
% 1.24/1.67 827 (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].
% 1.24/1.67 828 (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].
% 1.24/1.67 829 (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].
% 1.24/1.67 830 (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].
% 1.24/1.67 831 (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].
% 1.55/1.80 832 (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].
% 1.55/1.80
% 1.55/1.80 ============================== end of process non-clausal formulas ===
% 1.55/1.80
% 1.55/1.80 ============================== PROCESS INITIAL CLAUSES ===============
% 1.55/1.80
% 1.55/1.80 ============================== PREDICATE ELIMINATION =================
% 1.55/1.80 833 -gg_bool(A) | A = fTrue | A = fFalse # label(help_fFalse_1_1_T) # label(axiom). [clausify(823)].
% 1.55/1.80 834 gg_bool(undefined_bool(bool)) # label(gsy_c_HOL_Oundefined_001t__HOL__Obool) # label(axiom). [assumption].
% 1.55/1.80 835 gg_bool(scratc762669917_amone(A,B)) # label(gsy_c_Scratch__tptp__translate__60989__4052_ONUM767__thf__4__p_Obnd__amone) # label(axiom). [clausify(1)].
% 1.55/1.80 836 gg_bool(scratc940542640_d_and(A,B)) # label(gsy_c_Scratch__tptp__translate__60989__4052_ONUM767__thf__4__p_Obnd__d__and) # label(axiom). [clausify(2)].
% 1.55/1.80 837 gg_bool(scratc1048007820_d_not(A)) # label(gsy_c_Scratch__tptp__translate__60989__4052_ONUM767__thf__4__p_Obnd__d__not) # label(axiom). [clausify(3)].
% 1.55/1.80 838 gg_bool(scratc113548856nd_ec3(A,B,C)) # label(gsy_c_Scratch__tptp__translate__60989__4052_ONUM767__thf__4__p_Obnd__ec3) # label(axiom). [clausify(4)].
% 1.55/1.80 839 gg_bool(scratc89398189d_l_ec(A,B)) # label(gsy_c_Scratch__tptp__translate__60989__4052_ONUM767__thf__4__p_Obnd__l__ec) # label(axiom). [clausify(8)].
% 1.55/1.80 840 gg_bool(scratc197147891nd_or3(A,B,C)) # label(gsy_c_Scratch__tptp__translate__60989__4052_ONUM767__thf__4__p_Obnd__or3) # label(axiom). [clausify(9)].
% 1.55/1.80 841 gg_bool(aa_bool_bool(A,B)) # label(gsy_c_aa_001t__HOL__Obool_001t__HOL__Obool) # label(axiom). [clausify(10)].
% 1.55/1.80 842 gg_bool(aa_TPTP_ind_bool(A,B)) # label(gsy_c_aa_001t__TPTP____Interpret__Oind_001t__HOL__Obool) # label(axiom). [clausify(11)].
% 1.55/1.80 843 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)].
% 1.55/1.80 844 gg_bool(fEx_TPTP_ind(A)) # label(gsy_c_fEx_001t__TPTP____Interpret__Oind) # label(axiom). [clausify(16)].
% 1.55/1.80 845 gg_bool(fFalse) # label(gsy_c_fFalse) # label(axiom). [assumption].
% 1.55/1.80 846 gg_bool(fTrue) # label(gsy_c_fTrue) # label(axiom). [assumption].
% 1.55/1.80 Derived: undefined_bool(bool) = fTrue | undefined_bool(bool) = fFalse. [resolve(833,a,834,a)].
% 1.55/1.80 Derived: scratc762669917_amone(A,B) = fTrue | scratc762669917_amone(A,B) = fFalse. [resolve(833,a,835,a)].
% 1.55/1.80 Derived: scratc940542640_d_and(A,B) = fTrue | scratc940542640_d_and(A,B) = fFalse. [resolve(833,a,836,a)].
% 1.55/1.80 Derived: scratc1048007820_d_not(A) = fTrue | scratc1048007820_d_not(A) = fFalse. [resolve(833,a,837,a)].
% 1.55/1.80 Derived: scratc113548856nd_ec3(A,B,C) = fTrue | scratc113548856nd_ec3(A,B,C) = fFalse. [resolve(833,a,838,a)].
% 1.55/1.80 Derived: scratc89398189d_l_ec(A,B) = fTrue | scratc89398189d_l_ec(A,B) = fFalse. [resolve(833,a,839,a)].
% 1.55/1.80 Derived: scratc197147891nd_or3(A,B,C) = fTrue | scratc197147891nd_or3(A,B,C) = fFalse. [resolve(833,a,840,a)].
% 1.55/1.80 Derived: aa_bool_bool(A,B) = fTrue | aa_bool_bool(A,B) = fFalse. [resolve(833,a,841,a)].
% 1.55/1.80 Derived: aa_TPTP_ind_bool(A,B) = fTrue | aa_TPTP_ind_bool(A,B) = fFalse. [resolve(833,a,842,a)].
% 1.55/1.80 Derived: aa_fun171081125l_bool(A,B) = fTrue | aa_fun171081125l_bool(A,B) = fFalse. [resolve(833,a,843,a)].
% 1.55/1.80 Derived: fEx_TPTP_ind(A) = fTrue | fEx_TPTP_ind(A) = fFalse. [resolve(833,a,844,a)].
% 1.55/1.80 Derived: fFalse = fTrue | fFalse = fFalse. [resolve(833,a,845,a)].
% 1.55/1.80 Derived: fTrue = fTrue | fTrue = fFalse. [resolve(833,a,846,a)].
% 1.55/1.80 847 scratc484332979d_r_ec(A,B) | pp(A) # label(fact_def__r__ec) # label(axiom). [clausify(94)].
% 1.55/1.80 848 -scratc484332979d_r_ec(A,B) | -pp(A) | pp(scratc1048007820_d_not(B)) # label(fact_def__r__ec) # label(axiom). [clausify(94)].
% 1.55/1.80 849 scratc484332979d_r_ec(A,B) | -pp(scratc1048007820_d_not(B)) # label(fact_def__r__ec) # label(axiom). [clausify(94)].
% 3.35/3.67 850 scratc1834684090_l_iff(A,B) | -pp(scratc940542640_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc147250927nd_imp,A),B),aa_bool_bool(aa_boo1142376798l_bool(scratc147250927nd_imp,B),A))) # label(fact_def__l__iff) # label(axiom). [clausify(126)].
% 3.35/3.67 851 -scratc1834684090_l_iff(A,B) | pp(scratc940542640_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc147250927nd_imp,A),B),aa_bool_bool(aa_boo1142376798l_bool(scratc147250927nd_imp,B),A))) # label(fact_def__l__iff) # label(axiom). [clausify(126)].
% 3.35/3.67 852 scratc561253502d_orec(A,B) | -pp(scratc940542640_d_and(aa_bool_bool(scratc90054194d_l_or(A),B),scratc89398189d_l_ec(A,B))) # label(fact_def__orec) # label(axiom). [clausify(127)].
% 3.35/3.67 853 -scratc561253502d_orec(A,B) | pp(scratc940542640_d_and(aa_bool_bool(scratc90054194d_l_or(A),B),scratc89398189d_l_ec(A,B))) # label(fact_def__orec) # label(axiom). [clausify(127)].
% 3.35/3.67 854 scratc262387201nd_wel(A) | -pp(scratc1048007820_d_not(scratc1048007820_d_not(A))) # label(fact_def__wel) # label(axiom). [clausify(132)].
% 3.35/3.67 855 -scratc262387201nd_wel(A) | pp(scratc1048007820_d_not(scratc1048007820_d_not(A))) # label(fact_def__wel) # label(axiom). [clausify(132)].
% 3.35/3.67 856 -scratc262387201nd_wel(A) | pp(A) # label(fact_l__et) # label(axiom). [clausify(184)].
% 3.35/3.67 Derived: pp(A) | -pp(scratc1048007820_d_not(scratc1048007820_d_not(A))). [resolve(856,a,854,a)].
% 3.35/3.67
% 3.35/3.67 ============================== end predicate elimination =============
% 3.35/3.67
% 3.35/3.67 Auto_denials: (non-Horn, no changes).
% 3.35/3.67
% 3.35/3.67 Term ordering decisions:
% 3.35/3.67 Function symbol KB weights: aTP_Lamm_fo=1. aTP_Lamm_a=1. scratc221305531d_n_is=1. scratc146988524nd_iii=1. scratc1356905198_29_ii=1. scratc815698370bnd_in=1. scratc1278250406rdsucc=1. scratc221043133d_n_eq=1. scratc644102576_lessf=1. scratc990424372_moref=1. scratc744305536lessis=1. scratc815173580bnd_ap=1. scratc878289148moreis=1. scratc1770787712nd_n_1=1. aTP_Lamm_as=1. scratc744043138lesseq=1. scratc187771268nd_nat=1. scratc1307391646_Sigma=1. scratc1343253458ptyset=1. scratc990424383_moreq=1. scratc1708924544d_d_Pi=1. scratc188296059nd_nis=1. scratc221108733d_n_fr=1. scratc2050109925n_some=1. fFalse=1. scratc105418608nd_den=1. scratc155457480_power=1. scratc1839731244_nat_p=1. scratc147250927nd_imp=1. scratc189083241nd_num=1. scratc648853484d_repl=1. fTrue=1. scratc365516464_n_all=1. scratc1201657527d_pair=1. aTP_Lamm_aj=1. scratc1318331224d_Subq=1. scratc2125640907d_frac=1. scratc1770787713nd_n_2=1. scratc1993911426closed=1. scratc283971318_proj0=1. scratc662719346_union=1. aTP_Lamm_ap=1. scratc221305526d_n_in=1. scratc283971319_proj1=1. aTP_Lamm_ao=1. aTP_Lamm_vx=1. scratc1283986036closed=1. scratc1448719050closed=1. scratc544384005_d_1to=1. aTP_Lamm_ai=1. aTP_Lamm_ga=1. aTP_Lamm_gy=1. aTP_Lamm_ha=1. aTP_Lamm_hk=1. aTP_Lamm_hm=1. aTP_Lamm_ho=1. aTP_Lamm_hq=1. aTP_Lamm_hs=1. aTP_Lamm_hu=1. aTP_Lamm_hw=1. aTP_Lamm_hy=1. aTP_Lamm_ii=1. aTP_Lamm_ik=1. aTP_Lamm_jf=1. aTP_Lamm_nn=1. aTP_Lamm_np=1. aTP_Lamm_nr=1. aTP_Lamm_nt=1. aTP_Lamm_nv=1. aTP_Lamm_nx=1. aTP_Lamm_nz=1. aTP_Lamm_ob=1. aTP_Lamm_sw=1. aTP_Lamm_sy=1. aTP_Lamm_ta=1. aTP_Lamm_tc=1. aTP_Lamm_te=1. aTP_Lamm_tg=1. aTP_Lamm_ti=1. aTP_Lamm_tk=1. aTP_Lamm_tm=1. aTP_Lamm_to=1. aTP_Lamm_tq=1. aTP_Lamm_ts=1. aTP_Lamm_vo=1. aTP_Lamm_vs=1. aTP_Lamm_vt=1. scratc1601110180_omega=1. scratc1840870751closed=1. scratc2045088019d_Inj1=1. scratc303375174_prop2=1. scratc97182108_prop2=1. aTP_Lamm_ac=1. aTP_Lamm_aq=1. aTP_Lamm_bp=1. aTP_Lamm_br=1. aTP_Lamm_bs=1. aTP_Lamm_cb=1. aTP_Lamm_cf=1. aTP_Lamm_cj=1. aTP_Lamm_cn=1. aTP_Lamm_cr=1. aTP_Lamm_cv=1. aTP_Lamm_cz=1. aTP_Lamm_dd=1. aTP_Lamm_dg=1. aTP_Lamm_dj=1. aTP_Lamm_dm=1. aTP_Lamm_dp=1. aTP_Lamm_ds=1. aTP_Lamm_dv=1. aTP_Lamm_dz=1. aTP_Lamm_ed=1. aTP_Lamm_eh=1. aTP_Lamm_el=1. aTP_Lamm_eo=1. aTP_Lamm_er=1. aTP_Lamm_eu=1. aTP_Lamm_ex=1. aTP_Lamm_fa=1. aTP_Lamm_fd=1. aTP_Lamm_ff=1. aTP_Lamm_fh=1. aTP_Lamm_fk=1. aTP_Lamm_fm=1. aTP_Lamm_fq=1. aTP_Lamm_ft=1. aTP_Lamm_fx=1. aTP_Lamm_gc=1. aTP_Lamm_ge=1. aTP_Lamm_gh=1. aTP_Lamm_gk=1. aTP_Lamm_gn=1. aTP_Lamm_gq=1. aTP_Lamm_gt=1. aTP_Lamm_gw=1. aTP_Lamm_he=1. aTP_Lamm_hi=1. aTP_Lamm_ic=1. aTP_Lamm_ig=1. aTP_Lamm_im=1. aTP_Lamm_io=1. aTP_Lamm_iq=1. aTP_Lamm_it=1. aTP_Lamm_iw=1. aTP_Lamm_iy=1. aTP_Lamm_ja=1. aTP_Lamm_jd=1. aTP_Lamm_jk=1. aTP_Lamm_jo=1. aTP_Lamm_js=1. aTP_Lamm_jw=1. aTP_Lamm_ka=1. aTP_Lamm_ke=1. aTP_Lamm_ki=1. aTP_Lamm_km=1. aTP_Lamm_kp=1. aTP_Lamm_ks=1. aTP_Lamm_kv=1. aTP_Lamm_ky=1. aTP_Lamm_lb=1. aTP_Lamm_le=1. aTP_Lamm_lh=1. aTP_Lamm_ll=1. aTP_Lamm_lp=1. aTP_Lamm_lt=1. aTP_Lamm_lx=1. aTP_Lamm_ma=1. aTP_Lamm_md=1. aTP_Lamm_mg=1. aTP_Lamm_mj=1. aTP_Lamm_mm=1. aTP_Lamm_mp=1. aTP_Lamm_ms=1. aTP_Lamm_mv=1. aTP_Lamm_mx=1. aTP_Lamm_mz=1. aTP_Lamm_nc=1. aTP_Lamm_nf=1. aTP_Lamm_ni=1. aTP_Lamm_nl=1. aTP_Lamm_oi=1. aTP_Lamm_om=1. aTP_Lamm_oq=1. aTP_Lamm_ou=1. aTP_Lamm_oy=1. aTP_Lamm_pc=1. aTP_Lamm_pg=1. aTP_Lamm_pk=1. aTP_Lamm_pn=1. aTP_Lamm_pq=1. aTP_Lamm_pt=1. aTP_Lamm_pw=1. aTP_Lamm_pz=1. aTP_Lamm_qc=1. aTP_Lamm_qf=1. aTP_Lamm_qi=1. aTP_Lamm_ql=1. aTP_Lamm_qo=1. aTP_Lamm_qs=1. aTP_Lamm_qw=1. aTP_Lamm_ra=1. aTP_Lamm_re=1. aTP_Lamm_rh=1. aTP_Lamm_rk=1. aTP_Lamm_rn=1. aTP_Lamm_rq=1. aTP_Lamm_rt=1. aTP_Lamm_rw=1. aTP_Lamm_sa=1. aTP_Lamm_sc=1. aTP_Lamm_sf=1. aTP_Lamm_si=1. aTP_Lamm_sl=1. aTP_Lamm_so=1. aTP_Lamm_sr=1. aTP_Lamm_su=1. aTP_Lamm_tu=1. aTP_Lamm_tw=1. aTP_Lamm_ty=1. aTP_Lamm_ua=1. aTP_Lamm_uc=1. aTP_Lamm_ug=1. aTP_Lamm_ui=1. aTP_Lamm_ul=1. aTP_Lamm_uo=1. aTP_Lamm_uq=1. aTP_Lamm_us=1. aTP_Lamm_uv=1. aTP_Lamm_ux=1. aTP_Lamm_va=1. aTP_Lamm_vd=1. aTP_Lamm_vg=1. aTP_Lamm_vj=1. aTP_Lamm_vl=1. aTP_Lamm_vm=1. aTP_Lamm_vr=1. fconj=1. fimplies=1. scratc1219980342d_Sing=1. scratc2045088018d_Inj0=1. scratc217631988d_n_1t=1. scratc299088051_cond2=1. scratc303375173_prop1=1. scratc481308725_n_one=1. scratc97182107_prop1=1. aTP_Lamm_bv=1. aTP_Lamm_cc=1. aTP_Lamm_cg=1. aTP_Lamm_ck=1. aTP_Lamm_co=1. aTP_Lamm_cs=1. aTP_Lamm_cw=1. aTP_Lamm_da=1. aTP_Lamm_de=1. aTP_Lamm_dh=1. aTP_Lamm_dk=1. aTP_Lamm_dn=1. aTP_Lamm_dq=1. aTP_Lamm_dt=1. aTP_Lamm_dw=1. aTP_Lamm_ea=1. aTP_Lamm_ee=1. aTP_Lamm_ei=1. aTP_Lamm_em=1. aTP_Lamm_ep=1. aTP_Lamm_es=1. aTP_Lamm_ev=1. aTP_Lamm_ey=1. aTP_Lamm_fb=1. aTP_Lamm_fe=1. aTP_Lamm_fg=1. aTP_Lamm_fi=1. aTP_Lamm_fl=1. aTP_Lamm_fn=1. aTP_Lamm_fr=1. aTP_Lamm_fu=1. aTP_Lamm_fy=1. aTP_Lamm_gb=1. aTP_Lamm_gd=1. aTP_Lamm_gf=1. aTP_Lamm_gi=1. aTP_Lamm_gl=1. aTP_Lamm_go=1. aTP_Lamm_gr=1. aTP_Lamm_gu=1. aTP_Lamm_gx=1. aTP_Lamm_gz=1. aTP_Lamm_hb=1. aTP_Lamm_hf=1. aTP_Lamm_hj=1. aTP_Lamm_hl=1. aTP_Lamm_hn=1. aTP_Lamm_hp=1. aTP_Lamm_hr=1. aTP_Lamm_ht=1. aTP_Lamm_hv=1. aTP_Lamm_hx=1. aTP_Lamm_hz=1. aTP_Lamm_id=1. aTP_Lamm_ih=1. aTP_Lamm_ij=1. aTP_Lamm_il=1. aTP_Lamm_in=1. aTP_Lamm_ip=1. aTP_Lamm_ir=1. aTP_Lamm_iu=1. aTP_Lamm_ix=1. aTP_Lamm_iz=1. aTP_Lamm_jb=1. aTP_Lamm_je=1. aTP_Lamm_jg=1. aTP_Lamm_jh=1. aTP_Lamm_jl=1. aTP_Lamm_jp=1. aTP_Lamm_jt=1. aTP_Lamm_jx=1. aTP_Lamm_kb=1. aTP_Lamm_kf=1. aTP_Lamm_kj=1. aTP_Lamm_kn=1. aTP_Lamm_kq=1. aTP_Lamm_kt=1. aTP_Lamm_kw=1. aTP_Lamm_kz=1. aTP_Lamm_lc=1. aTP_Lamm_lf=1. aTP_Lamm_li=1. aTP_Lamm_lm=1. aTP_Lamm_lq=1. aTP_Lamm_lu=1. aTP_Lamm_ly=1. aTP_Lamm_mb=1. aTP_Lamm_me=1. aTP_Lamm_mh=1. aTP_Lamm_mk=1. aTP_Lamm_mn=1. aTP_Lamm_mq=1. aTP_Lamm_mt=1. aTP_Lamm_mw=1. aTP_Lamm_my=1. aTP_Lamm_na=1. aTP_Lamm_nb=1. aTP_Lamm_nd=1. aTP_Lamm_ne=1. aTP_Lamm_ng=1. aTP_Lamm_nh=1. aTP_Lamm_nj=1. aTP_Lamm_nk=1. aTP_Lamm_nm=1. aTP_Lamm_no=1. aTP_Lamm_nq=1. aTP_Lamm_ns=1. aTP_Lamm_nu=1. aTP_Lamm_nw=1. aTP_Lamm_ny=1. aTP_Lamm_oa=1. aTP_Lamm_oc=1. aTP_Lamm_od=1. aTP_Lamm_oe=1. aTP_Lamm_of=1. aTP_Lamm_oj=1. aTP_Lamm_on=1. aTP_Lamm_or=1. aTP_Lamm_ov=1. aTP_Lamm_oz=1. aTP_Lamm_pd=1. aTP_Lamm_ph=1. aTP_Lamm_pl=1. aTP_Lamm_po=1. aTP_Lamm_pr=1. aTP_Lamm_pu=1. aTP_Lamm_px=1. aTP_Lamm_qa=1. aTP_Lamm_qd=1. aTP_Lamm_qg=1. aTP_Lamm_qj=1. aTP_Lamm_qm=1. aTP_Lamm_qp=1. aTP_Lamm_qt=1. aTP_Lamm_qx=1. aTP_Lamm_rb=1. aTP_Lamm_rf=1. aTP_Lamm_ri=1. aTP_Lamm_rl=1. aTP_Lamm_ro=1. aTP_Lamm_rr=1. aTP_Lamm_ru=1. aTP_Lamm_rx=1. aTP_Lamm_ry=1. aTP_Lamm_rz=1. aTP_Lamm_sb=1. aTP_Lamm_sd=1. aTP_Lamm_sg=1. aTP_Lamm_sj=1. aTP_Lamm_sm=1. aTP_Lamm_sp=1. aTP_Lamm_ss=1. aTP_Lamm_sv=1. aTP_Lamm_sx=1. aTP_Lamm_sz=1. aTP_Lamm_tb=1. aTP_Lamm_td=1. aTP_Lamm_tf=1. aTP_Lamm_th=1. aTP_Lamm_tj=1. aTP_Lamm_tl=1. aTP_Lamm_tn=1. aTP_Lamm_tp=1. aTP_Lamm_tr=1. aTP_Lamm_tt=1. aTP_Lamm_tv=1. aTP_Lamm_tx=1. aTP_Lamm_tz=1. aTP_Lamm_ub=1. aTP_Lamm_ud=1. aTP_Lamm_uh=1. aTP_Lamm_uj=1. aTP_Lamm_um=1. aTP_Lamm_up=1. aTP_Lamm_ur=1. aTP_Lamm_ut=1. aTP_Lamm_uw=1. aTP_Lamm_uy=1. aTP_Lamm_uz=1. aTP_Lamm_vb=1. aTP_Lamm_vc=1. aTP_Lamm_ve=1. aTP_Lamm_vf=1. aTP_Lamm_vh=1. aTP_Lamm_vi=1. aTP_Lamm_vk=1. aTP_Lamm_vn=1. aTP_Lamm_vp=1. aTP_Lamm_vq=1. aTP_Lamm_vu=1. aTP_Lamm_vv=1. aTP_Lamm_vw=1. aTP_Lamm_vz=1. aTP_Lamm_ww=1. fequal_TPTP_ind=1. scratc125304378univof=1. scratc186196886nd_nIn=1. scratc217697587d_n_2t=1. scratc299088050_cond1=1. scratc841404586_d_Unj=1. aTP_Lamm_ad=1. aTP_Lamm_al=1. aTP_Lamm_ar=1. aTP_Lamm_bt=1. aTP_Lamm_bu=1. bool=1. scratc1034614896_empty=1. scratc1097702400_prop1=1. scratc1135000377pair_p=1. scratc1274134471_prop1=1. scratc1293321271d_plus=1. scratc1433149710428_id=1. scratc1480099523_prop1=1. scratc1628848445nempty=1. scratc1708694010munion=1. scratc1862496646_prop1=1. scratc2068461698_prop1=1. scratc2095060041_times=1. scratc217631983d_n_1o=1. scratc284364916_prop4=1. scratc595551156r1type=1. scratc685544282_prop1=1. scratc97182110_prop4=1. scratc1120352435d_xout=1. scratc1565489902d_i1_s=1. scratc1631982706air_u0=1. scratc1720533118d_24_g=1. scratc1796842570let_u0=1. scratc187634900_428_g=1. scratc499847588d_1out=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. scratc940542640_d_and=1. aa_fun1431113780TP_ind=1. aa_boo1142376798l_bool=1. aa_TPT1123896796d_bool=1. scratc815698362bnd_if=1. scratc89398189d_l_ec=1. aa_fun1212484691d_bool=1. scratc702645165d_e_in=1. aa_TPT1791839040TP_ind=1. aa_TPT985247859d_bool=1. scratc147316514nd_ind=1. scratc168268961d_pair=1. aa_fun987228051d_bool=1. scratc762669917_amone=1. scratc1173129374_image=1. scratc1215771443_first=1. scratc1563661169second=1. aa_TPT125613450d_bool=1. scratc188689648nd_non=1. aa_fun1913827119d_bool=1. scratc337404936d_anec=1. aa_fun1107270209d_bool=1. aa_fun845057962d_bool=1. scratc113548917nd_ecp=1. scratc1727276146_ecelt=1. scratc200022696eplSep=1. scratc1726685755_ecect=1. scratc197344753nd_out=1. aa_TPT1781712639TP_ind=1. aa_TPT2142672771l_bool=1. aa_fun1235454963TP_ind=1. cOMBB_658106424TP_ind=1. cOMBS_2003118649l_bool=1. scratc1046693544eft1to=1. scratc1066650093ght1to=1. scratc113548921nd_ect=1. scratc1264487687_fixfu=1. scratc1784045770etprop=1. scratc424391915fixfu2=1. scratc804445238wissel=1. scratc936418441ectset=1. scratc1042535787unmore=1. scratc140766770d_invf=1. scratc144503301d_tofs=1. scratc676498099nverse=1. scratc821216564ectelt=1. f1=1. f12=1. f13=1. f20=1. f24=1. scratc48140827all_of=1. scratc221764717d_n_pl=1. scratc222027120d_n_ts=1. scratc221764711d_n_pf=1. scratc1048007820_d_not=1. scratc702645170d_e_is=1. scratc824291191_d_Sep=1. scratc1306285283l_some=1. scratc1354561600d_esti=1. scratc477666757ffprop=1. scratc90054194d_l_or=1. scratc81093284nd_all=1. scratc196885545nd_one=1. aTP_Lamm_ah=1. scratc1542346851_rec_G=1. scratc587022013d_outn=1. aTP_Lamm_hc=1. aTP_Lamm_hg=1. aTP_Lamm_ia=1. aTP_Lamm_ie=1. aTP_Lamm_wg=1. aTP_Lamm_aa=1. aTP_Lamm_am=1. aTP_Lamm_at=1. aTP_Lamm_bd=1. aTP_Lamm_bl=1. aTP_Lamm_by=1. aTP_Lamm_bz=1. aTP_Lamm_cd=1. aTP_Lamm_ch=1. aTP_Lamm_cl=1. aTP_Lamm_cp=1. aTP_Lamm_ct=1. aTP_Lamm_cx=1. aTP_Lamm_db=1. aTP_Lamm_dx=1. aTP_Lamm_eb=1. aTP_Lamm_ef=1. aTP_Lamm_ej=1. aTP_Lamm_fv=1. aTP_Lamm_gg=1. aTP_Lamm_gj=1. aTP_Lamm_gm=1. aTP_Lamm_gp=1. aTP_Lamm_gs=1. aTP_Lamm_gv=1. aTP_Lamm_jc=1. aTP_Lamm_ji=1. aTP_Lamm_jm=1. aTP_Lamm_jq=1. aTP_Lamm_ju=1. aTP_Lamm_jy=1. aTP_Lamm_kc=1. aTP_Lamm_kg=1. aTP_Lamm_kk=1. aTP_Lamm_lj=1. aTP_Lamm_ln=1. aTP_Lamm_lr=1. aTP_Lamm_lv=1. aTP_Lamm_og=1. aTP_Lamm_ok=1. aTP_Lamm_oo=1. aTP_Lamm_os=1. aTP_Lamm_ow=1. aTP_Lamm_pa=1. aTP_Lamm_pe=1. aTP_Lamm_pi=1. aTP_Lamm_qq=1. aTP_Lamm_qu=1. aTP_Lamm_qy=1. aTP_Lamm_rc=1. aTP_Lamm_se=1. aTP_Lamm_sh=1. aTP_Lamm_sk=1. aTP_Lamm_sn=1. aTP_Lamm_sq=1. aTP_Lamm_st=1. aTP_Lamm_ue=1. aTP_Lamm_vy=1. aTP_Lamm_wu=1. scratc139520395d_incl=1. aTP_Lamm_ax=1. aTP_Lamm_bh=1. aTP_Lamm_bk=1. aTP_Lamm_bo=1. aTP_Lamm_df=1. aTP_Lamm_di=1. aTP_Lamm_dl=1. aTP_Lamm_do=1. aTP_Lamm_dr=1. aTP_Lamm_du=1. aTP_Lamm_en=1. aTP_Lamm_eq=1. aTP_Lamm_et=1. aTP_Lamm_ew=1. aTP_Lamm_ez=1. aTP_Lamm_fc=1. aTP_Lamm_ko=1. aTP_Lamm_kr=1. aTP_Lamm_ku=1. aTP_Lamm_kx=1. aTP_Lamm_la=1. aTP_Lamm_ld=1. aTP_Lamm_lg=1. aTP_Lamm_lz=1. aTP_Lamm_mc=1. aTP_Lamm_mf=1. aTP_Lamm_mi=1. aTP_Lamm_ml=1. aTP_Lamm_mo=1. aTP_Lamm_pm=1. aTP_Lamm_pp=1. aTP_Lamm_ps=1. aTP_Lamm_pv=1. aTP_Lamm_py=1. aTP_Lamm_qb=1. aTP_Lamm_qe=1. aTP_Lamm_qh=1. aTP_Lamm_qk=1. aTP_Lamm_qn=1. aTP_Lamm_rg=1. aTP_Lamm_rj=1. aTP_Lamm_rm=1. aTP_Lamm_rp=1. aTP_Lamm_rs=1. aTP_Lamm_rv=1. aTP_Lamm_uk=1. aTP_Lamm_un=1. aTP_Lamm_wq=1. aTP_Lamm_ws=1. scratc114401707nd_eps=1. scratc147316524nd_inn=1. scratc401264202ective=1. scratc912173500etprod=1. aTP_Lamm_ab=1. aTP_Lamm_au=1. aTP_Lamm_av=1. aTP_Lamm_aw=1. aTP_Lamm_ay=1. aTP_Lamm_az=1. aTP_Lamm_bb=1. aTP_Lamm_bc=1. aTP_Lamm_bi=1. aTP_Lamm_bj=1. aTP_Lamm_bm=1. aTP_Lamm_ca=1. aTP_Lamm_ce=1. aTP_Lamm_ci=1. aTP_Lamm_cm=1. aTP_Lamm_cq=1. aTP_Lamm_cu=1. aTP_Lamm_cy=1. aTP_Lamm_dc=1. aTP_Lamm_dy=1. aTP_Lamm_ec=1. aTP_Lamm_eg=1. aTP_Lamm_ek=1. aTP_Lamm_fj=1. aTP_Lamm_fp=1. aTP_Lamm_fs=1. aTP_Lamm_fw=1. aTP_Lamm_fz=1. aTP_Lamm_hd=1. aTP_Lamm_hh=1. aTP_Lamm_ib=1. aTP_Lamm_if=1. aTP_Lamm_is=1. aTP_Lamm_iv=1. aTP_Lamm_jj=1. aTP_Lamm_jn=1. aTP_Lamm_jr=1. aTP_Lamm_jv=1. aTP_Lamm_jz=1. aTP_Lamm_kd=1. aTP_Lamm_kh=1. aTP_Lamm_kl=1. aTP_Lamm_lk=1. aTP_Lamm_lo=1. aTP_Lamm_ls=1. aTP_Lamm_lw=1. aTP_Lamm_mr=1. aTP_Lamm_mu=1. aTP_Lamm_oh=1. aTP_Lamm_ol=1. aTP_Lamm_op=1. aTP_Lamm_ot=1. aTP_Lamm_ox=1. aTP_Lamm_pb=1. aTP_Lamm_pf=1. aTP_Lamm_pj=1. aTP_Lamm_qr=1. aTP_Lamm_qv=1. aTP_Lamm_qz=1. aTP_Lamm_rd=1. aTP_Lamm_uf=1. aTP_Lamm_uu=1. aTP_Lamm_wa=1. aTP_Lamm_wb=1. aTP_Lamm_wc=1. aTP_Lamm_we=1. aTP_Lamm_wk=1. aTP_Lamm_wm=1. aTP_Lamm_wn=1. aTP_Lamm_wr=1. fEx_TPTP_ind=1. scratc1319791065ective=1. scratc1418434102lbprop=1. scratc180034549nd_min=1. scratc221502311d_n_lb=1. scratc555067461nunion=1. aTP_Lamm_ba=1. aTP_Lamm_wd=1. aTP_Lamm_wf=1. aTP_Lamm_wh=1. aTP_Lamm_wi=1. aTP_Lamm_wj=1. aTP_Lamm_wl=1. aTP_Lamm_wo=1. aTP_Lamm_wp=1. aTP_Lamm_wt=1. aTP_Lamm_wv=1. scratc1201878024_UPair=1. scratc143169982first1=1. scratc1997330234_pair1=1. scratc2075269924In_rec=1. scratc52578560econd1=1. aTP_Lamm_ae=1. aTP_Lamm_af=1. aTP_Lamm_ag=1. aTP_Lamm_ak=1. aTP_Lamm_an=1. aTP_Lamm_be=1. aTP_Lamm_bf=1. aTP_Lamm_bg=1. aTP_Lamm_bn=1. aTP_Lamm_bq=1. aTP_Lamm_bw=1. aTP_Lamm_bx=1. cOMBC_1555011498d_bool=1. scratc1079447972_prop1=1. scratc1667810147_prop1=1. scratc284364915_prop3=1. scratc471353003tminus=1. scratc509340225_prop1=1. scratc584983432ective=1. scratc888189498t_disj=1. scratc891737348_prop1=1. undefined_bool=1. scratc1631720310air_q0=1. scratc221567922d_n_mn=1. undefined_TPTP_ind=1. f2=1. f8=1. f9=1. f10=1. f11=1. f17=1. f18=1. f21=1. f22=1. f23=1. scratc197147891nd_or3=1. scratc113548856nd_ec3=1. scratc147710109nd_ite=1. scratc1511399751d_soft=1. scratc1978369902_indeq=1. scratc259641604d_left=1. scratc284364913_prop1=1. scratc1723415456sel_wa=1. scratc1723415457sel_wb=1. scratc1928306191eft_f1=1. scratc386690882d_11_i=1. scratc1914042879_right=1. scratc1928306192eft_f2=1. f5=1. f7=1. f14=1. f16=1. f19=1. f25=1. scratc284364914_prop2=1. scratc545707904_inj_h=1. scratc690457049hangef=1. f3=1. f4=1. f15=1. scratc850697800_prop1=1. scratc207901764indeq2=1. f6=1.
% 5.22/5.46
% 5.22/5.46 ============================== end of process initial clauses ========
% 5.22/5.46
% 5.22/5.46 ============================== CLAUSES FOR SEARCH ====================
% 5.22/5.46
% 5.22/5.46 ============================== end of clauses for search =============
% 5.22/5.46
% 5.22/5.46 ============================== SEARCH ================================
% 5.22/5.46
% 5.22/5.46 % Starting search at 2.20 seconds.
% 5.22/5.46
% 5.22/5.46 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 100 (0.00 of 2.93 sec).
% 5.22/5.46
% 5.22/5.46 Low Water (keep): wt=39.000, iters=3437
% 5.22/5.46
% 5.22/5.46 Low Water (keep): wt=31.000, iters=3342
% 5.22/5.46
% 5.22/5.46 Low Water (keep): wt=30.000, iters=3336
% 5.22/5.46
% 5.22/5.46 Low Water (keep): wt=29.000, iters=3343
% 5.22/5.46
% 5.22/5.46 Low Water (keep): wt=28.000, iters=3383
% 5.22/5.46
% 5.22/5.46 Low Water (keep): wt=27.000, iCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------