TSTP Solution File: NUM756+4 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : NUM756+4 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n021.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 13:31:44 EDT 2022
% Result : Timeout 300.05s 300.31s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM756+4 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jul 6 06:15:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.20/1.58 ============================== Prover9 ===============================
% 1.20/1.58 Prover9 (32) version 2009-11A, November 2009.
% 1.20/1.58 Process 32046 was started by sandbox2 on n021.cluster.edu,
% 1.20/1.58 Wed Jul 6 06:15:04 2022
% 1.20/1.58 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_31876_n021.cluster.edu".
% 1.20/1.58 ============================== end of head ===========================
% 1.20/1.58
% 1.20/1.58 ============================== INPUT =================================
% 1.20/1.58
% 1.20/1.58 % Reading from file /tmp/Prover9_31876_n021.cluster.edu
% 1.20/1.58
% 1.20/1.58 set(prolog_style_variables).
% 1.20/1.58 set(auto2).
% 1.20/1.58 % set(auto2) -> set(auto).
% 1.20/1.58 % set(auto) -> set(auto_inference).
% 1.20/1.58 % set(auto) -> set(auto_setup).
% 1.20/1.58 % set(auto_setup) -> set(predicate_elim).
% 1.20/1.58 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.20/1.58 % set(auto) -> set(auto_limits).
% 1.20/1.58 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.20/1.58 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.20/1.58 % set(auto) -> set(auto_denials).
% 1.20/1.58 % set(auto) -> set(auto_process).
% 1.20/1.58 % set(auto2) -> assign(new_constants, 1).
% 1.20/1.58 % set(auto2) -> assign(fold_denial_max, 3).
% 1.20/1.58 % set(auto2) -> assign(max_weight, "200.000").
% 1.20/1.58 % set(auto2) -> assign(max_hours, 1).
% 1.20/1.58 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.20/1.58 % set(auto2) -> assign(max_seconds, 0).
% 1.20/1.58 % set(auto2) -> assign(max_minutes, 5).
% 1.20/1.58 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.20/1.58 % set(auto2) -> set(sort_initial_sos).
% 1.20/1.58 % set(auto2) -> assign(sos_limit, -1).
% 1.20/1.58 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.20/1.58 % set(auto2) -> assign(max_megs, 400).
% 1.20/1.58 % set(auto2) -> assign(stats, some).
% 1.20/1.58 % set(auto2) -> clear(echo_input).
% 1.20/1.58 % set(auto2) -> set(quiet).
% 1.20/1.58 % set(auto2) -> clear(print_initial_clauses).
% 1.20/1.58 % set(auto2) -> clear(print_given).
% 1.20/1.58 assign(lrs_ticks,-1).
% 1.20/1.58 assign(sos_limit,10000).
% 1.20/1.58 assign(order,kbo).
% 1.20/1.58 set(lex_order_vars).
% 1.20/1.58 clear(print_given).
% 1.20/1.58
% 1.20/1.58 % formulas(sos). % not echoed (1009 formulas)
% 1.20/1.58
% 1.20/1.58 ============================== end of input ==========================
% 1.20/1.58
% 1.20/1.58 % From the command line: assign(max_seconds, 300).
% 1.20/1.58
% 1.20/1.58 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.20/1.58
% 1.20/1.58 % Formulas that are not ordinary clauses:
% 1.20/1.58 1 (all B_1 all B_2 gg_bool(scratc1267605358_amone(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__59164__5772_ONUM756__thf__4__p_Obnd__amone) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 2 (all B_1 all B_2 gg_bool(scratc1412750047_d_and(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__59164__5772_ONUM756__thf__4__p_Obnd__d__and) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 3 (all B_1 gg_bool(scratc1520215227_d_not(B_1))) # label(gsy_c_Scratch__tptp__translate__59164__5772_ONUM756__thf__4__p_Obnd__d__not) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 4 (all B_1 all B_2 all B_3 gg_bool(scratc715950793nd_ec3(B_1,B_2,B_3))) # label(gsy_c_Scratch__tptp__translate__59164__5772_ONUM756__thf__4__p_Obnd__ec3) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 5 (all B_1 all B_2 gg_TPTP_ind(scratc715950858nd_ect(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__59164__5772_ONUM756__thf__4__p_Obnd__ect) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 6 (all B_1 gg_TPTP_ind(scratc716803644nd_eps(B_1))) # label(gsy_c_Scratch__tptp__translate__59164__5772_ONUM756__thf__4__p_Obnd__eps) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 7 (all B_1 all B_2 gg_TPTP_ind(scratc749718451nd_ind(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__59164__5772_ONUM756__thf__4__p_Obnd__ind) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 8 (all B_1 all B_2 gg_bool(scratc594333630d_l_ec(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__59164__5772_ONUM756__thf__4__p_Obnd__l__ec) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 9 (all B_1 all B_2 all B_3 gg_bool(scratc799549828nd_or3(B_1,B_2,B_3))) # label(gsy_c_Scratch__tptp__translate__59164__5772_ONUM756__thf__4__p_Obnd__or3) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 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].
% 1.20/1.58 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].
% 1.20/1.58 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].
% 1.20/1.58 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].
% 1.20/1.58 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].
% 1.20/1.58 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].
% 1.20/1.58 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].
% 1.20/1.58 17 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc726044174d_n_fr,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(aa_TPTP_ind_TPTP_ind(scratc791485178nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc707820545nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(aa_TPTP_ind_TPTP_ind(scratc791485178nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc707820545nd_den,X)))),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(aa_TPTP_ind_TPTP_ind(scratc707820545nd_den,X)),aa_TPTP_ind_TPTP_ind(scratc707820545nd_den,Xa)))) # label(fact_def__n__pf) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 18 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216250545lesseq,X),Xa)) <-> pp(aa_bool_bool(scratc594989635d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,X),Xa))))) # label(fact_def__lesseq) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 19 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359824_moreq,X),Xa)) <-> pp(aa_bool_bool(scratc594989635d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,X),Xa))))) # label(fact_def__moreq) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 20 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(aa_TPTP_ind_TPTP_ind(scratc791485178nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc707820545nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(aa_TPTP_ind_TPTP_ind(scratc791485178nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc707820545nd_den,X)))))) # label(fact_def__lessf) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 21 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(aa_TPTP_ind_TPTP_ind(scratc791485178nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc707820545nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(aa_TPTP_ind_TPTP_ind(scratc791485178nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc707820545nd_den,X)))))) # label(fact_def__moref) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 22 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(aa_TPTP_ind_TPTP_ind(scratc791485178nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc707820545nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(aa_TPTP_ind_TPTP_ind(scratc791485178nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc707820545nd_den,X)))))) # label(fact_def__n__eq) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 23 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1217513151eft_f2(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc1377700019d_left(X,Xa,Xb),aa_TPTP_ind_TPTP_ind(scratc1217513150eft_f1(X,Xa,Xb),Xc))) # label(fact_def__left__f2) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 24 (all X all Xa all Xb scratc1217513150eft_f1(X,Xa,Xb) = scratc1377700019d_left(X,Xb,Xa)) # label(fact_def__left__f1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 25 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc271494672_right(X,Xa,Xb),Xc) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc596598605_Sigma,aa_TPTP_ind_TPTP_ind(scratc1016591412_d_1to,Xb)),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ad(Xa),Xb),Xc))) # label(fact_def__right) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 26 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1377700019d_left(X,Xa,Xb),Xc) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc596598605_Sigma,aa_TPTP_ind_TPTP_ind(scratc1016591412_d_1to,Xb)),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ae(Xa),Xb),Xc))) # label(fact_def__left) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 27 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc355857052ght1to(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc1705080428d_outn(aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(X),aa_TPTP_ind_TPTP_ind(scratc749718461nd_inn(Xa),Xb)))) # label(fact_def__right1to) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 28 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc2076246585eft1to(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc1705080428d_outn(X),aa_TPTP_ind_TPTP_ind(scratc749718461nd_inn(Xa),Xb))) # label(fact_def__left1to) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 29 (all X aa_TPTP_ind_TPTP_ind(scratc90927202d_xout,X) = aa_TPTP_ind_TPTP_ind(scratc1705080428d_outn(X),X)) # label(fact_def__xout) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 30 (all X aa_TPTP_ind_TPTP_ind(scratc1529400629d_1out,X) = aa_TPTP_ind_TPTP_ind(scratc1705080428d_outn(X),scratc741362479nd_n_1)) # label(fact_def__d__1out) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 31 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc920927269air_q0(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc354782027_pair1(X),aa_TPTP_ind_TPTP_ind(scratc615377389first1(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1082131601econd1(X),Xa))) # label(fact_def__pair__q0) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 32 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1082131601econd1(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Xa),scratc722633028d_n_2t)) # label(fact_def__second1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 33 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc615377389first1(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Xa),scratc722567429d_n_1t)) # label(fact_def__first1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 34 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc354782027_pair1(X),Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc596598605_Sigma,aa_TPTP_ind_TPTP_ind(scratc1016591412_d_1to,scratc741362480nd_n_2)),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_af(X),Xa),Xb))) # label(fact_def__pair1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 35 (all X aa_TPTP_ind_TPTP_ind(scratc1595303621r1type,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc66376337d_d_Pi,aa_TPTP_ind_TPTP_ind(scratc1016591412_d_1to,scratc741362480nd_n_2)),aTP_Lamm_ag(X))) # label(fact_def__pair1type) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 36 (all X scratc749718461nd_inn(X) = scratc1207580606d_e_in(scratc790173205nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ah,X))) # label(fact_def__inn) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 37 (all X scratc1705080428d_outn(X) = scratc799746690nd_out(scratc790173205nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ah,X))) # label(fact_def__outn) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 38 (all X aa_TPTP_ind_TPTP_ind(scratc1016591412_d_1to,X) = aa_fun1431113780TP_ind(scratc1296498598_d_Sep(scratc790173205nd_nat),aa_TPT43085870d_bool(aTP_Lamm_ah,X))) # label(fact_def__d__1to) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 39 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc726503363d_n_mn(X),Xa) = scratc749718451nd_ind(scratc790173205nd_nat,aa_TPT43085870d_bool(scratc1914357364ffprop(X),Xa))) # label(fact_def__n__mn) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 40 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1875842420_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(X),Xa)),Xb)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(X),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Xa),Xb)))))) # label(fact_def__d__431__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 41 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1287480245_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(X),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Xa),Xb))),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(X),Xb)))))) # label(fact_def__d__430__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 42 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc893576555_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Xa),X))))) # label(fact_def__d__429__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 43 (all X scratc726962561d_n_ts(X) = aa_TPT1424761345TP_ind(scratc731213563bnd_ap,aa_TPTP_ind_TPTP_ind(scratc452511834_times,X))) # label(fact_def__n__ts) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 44 (all X aa_TPTP_ind_TPTP_ind(scratc452511834_times,X) = scratc749718451nd_ind(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc66376337d_d_Pi,scratc790173205nd_nat),aTP_Lamm_ai),aa_TPT43085870d_bool(scratc305214381_prop2,X))) # label(fact_def__times) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 45 (all X aa_TPTP_ind_TPTP_ind(scratc1187387365_428_g,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc596598605_Sigma,scratc790173205nd_nat),aTP_Lamm_aj(X))) # label(fact_def__d__428__g) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 46 (all X (pp(aa_TPTP_ind_bool(scratc305214383_prop4,X)) <-> pp(aa_fun171081125l_bool(scratc188354676l_some(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc66376337d_d_Pi,scratc790173205nd_nat),aTP_Lamm_ai)),aa_TPT43085870d_bool(scratc305214381_prop2,X))))) # label(fact_def__d__428__prop4) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 47 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc305214381_prop2,X),Xa)) <-> pp(scratc1412750047_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Xa),scratc741362479nd_n_1)),X),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc305214380_prop1,X),Xa))))) # label(fact_def__d__428__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 48 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc305214380_prop1,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc837723871_n_all,aa_TPT43085870d_bool(aTP_Lamm_al(X),Xa))))) # label(fact_def__d__428__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 49 (all X all Xa (pp(aa_TPTP_ind_bool(scratc782436486nd_min(X),Xa)) <-> pp(scratc1412750047_d_and(aa_TPTP_ind_bool(scratc726437752d_n_lb(X),Xa),aa_TPTP_ind_bool(X,Xa))))) # label(fact_def__min) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 50 (all X all Xa (pp(aa_TPTP_ind_bool(scratc726437752d_n_lb(X),Xa)) <-> pp(aa_fun171081125l_bool(scratc837723871_n_all,aa_TPT43085870d_bool(scratc1890641509lbprop(X),Xa))))) # label(fact_def__n__lb) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 51 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1890641509lbprop(X),Xa),Xb)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc749652864nd_imp,aa_TPTP_ind_bool(X,Xb)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Xa),Xb))))) # label(fact_def__lbprop) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 52 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,X),Xa)) <-> pp(aa_bool_bool(scratc594989635d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,X),Xa))))) # label(fact_def__lessis) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 53 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,X),Xa)) <-> pp(aa_bool_bool(scratc594989635d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,X),Xa))))) # label(fact_def__moreis) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 54 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310162863_prop1,X),Xa)) <-> pp(scratc799549828nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,X),Xa),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,X),Xa),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,X),Xa))))) # label(fact_def__d__29__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 55 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc932179318n_some,aa_TPT43085870d_bool(scratc1914357364ffprop(Xa),X))))) # label(fact_def__iii) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 56 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc932179318n_some,aa_TPT43085870d_bool(scratc1914357364ffprop(X),Xa))))) # label(fact_def__d__29__ii) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 57 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1914357364ffprop(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,X),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Xa),Xb))))) # label(fact_def__diffprop) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 58 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1869284336_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc790697996nd_nis,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(X),Xb))))) # label(fact_def__d__28__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 59 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1280922161_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc790697996nd_nis,Xa),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(X),Xa))))) # label(fact_def__d__27__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 60 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc692559986_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Xa),X))))) # label(fact_def__d__26__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 61 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc104197811_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(X),Xa)),Xb)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(X),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Xa),Xb)))))) # label(fact_def__d__25__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 62 (all X scratc726700158d_n_pl(X) = aa_TPT1424761345TP_ind(scratc731213563bnd_ap,aa_TPTP_ind_TPTP_ind(scratc263896038d_plus,X))) # label(fact_def__n__pl) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 63 (all X aa_TPTP_ind_TPTP_ind(scratc263896038d_plus,X) = scratc749718451nd_ind(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc66376337d_d_Pi,scratc790173205nd_nat),aTP_Lamm_ai),aa_TPT43085870d_bool(scratc1663319285_prop2,X))) # label(fact_def__plus) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 64 (all X aa_TPTP_ind_TPTP_ind(scratc1009740077d_24_g,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc596598605_Sigma,scratc790173205nd_nat),aTP_Lamm_am(X))) # label(fact_def__d__24__g) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 65 (all X (pp(aa_TPTP_ind_bool(scratc789300357_prop4,X)) <-> pp(aa_fun171081125l_bool(scratc188354676l_some(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc66376337d_d_Pi,scratc790173205nd_nat),aTP_Lamm_ai)),aa_TPT43085870d_bool(scratc1663319285_prop2,X))))) # label(fact_def__prop4) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 66 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc789300356_prop3(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,X),Xb)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Xa),Xb))))) # label(fact_def__prop3) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 67 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663319285_prop2,X),Xa)) <-> pp(scratc1412750047_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Xa),scratc741362479nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,X)),aa_TPTP_ind_bool(scratc1663319284_prop1,Xa))))) # label(fact_def__d__24__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 68 (all X (pp(aa_TPTP_ind_bool(scratc1663319284_prop1,X)) <-> pp(aa_fun171081125l_bool(scratc837723871_n_all,aa_TPT43085870d_bool(aTP_Lamm_an,X))))) # label(fact_def__d__24__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 69 (all X (pp(aa_TPTP_ind_bool(scratc1074957109_prop1,X)) <-> pp(aa_bool_bool(scratc594989635d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,X),scratc741362479nd_n_1)),aa_fun171081125l_bool(scratc932179318n_some,aa_TPT43085870d_bool(aTP_Lamm_ao,X)))))) # label(fact_def__d__23__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 70 (all X (pp(aa_TPTP_ind_bool(scratc486594934_prop1,X)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc790697996nd_nis,aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,X)),X)))) # label(fact_def__d__22__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 71 (all X (pp(aa_TPTP_ind_bool(scratc804023492_cond2,X)) <-> pp(aa_fun171081125l_bool(scratc837723871_n_all,aa_TPT43085870d_bool(aTP_Lamm_ap,X))))) # label(fact_def__cond2) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 72 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc790697996nd_nis,X),Xa)) <-> pp(scratc1520215227_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,X),Xa))))) # label(fact_def__nis) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 73 (all X all Xa all Xb all Xc all Xd scratc680109171indeq2(X,Xa,Xb,Xc,Xd) = aa_TPT1424761345TP_ind(scratc335821695_indeq(X,Xa,Xb),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1823381489d_11_i(X,Xa,Xb),Xc),Xd))) # label(fact_def__indeq2) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 74 (all X all Xa all Xb scratc1823381489d_11_i(X,Xa,Xb) = scratc335821695_indeq(X,Xa,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc66376337d_d_Pi,X),aTP_Lamm_ag(Xb)))) # label(fact_def__d__11__i) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 75 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896599322fixfu2(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_fun987228051d_bool(aTP_Lamm_av(X),Xa),Xb),Xc))))) # label(fact_def__fixfu2) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 76 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc335821695_indeq(X,Xa,Xb),Xc),Xd) = scratc749718451nd_ind(Xb,aa_TPT43085870d_bool(scratc789300355_prop2(X,Xa,Xb,Xc),Xd))) # label(fact_def__indeq) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 77 (all X all Xa all Xb all Xc all Xd all Xe (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc789300355_prop2(X,Xa,Xb,Xc),Xd),Xe)) <-> pp(aa_fun171081125l_bool(scratc188354676l_some(X),aa_TPT43085870d_bool(scratc63158263_prop1(X,Xa,Xb,Xc,Xd),Xe))))) # label(fact_def__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 78 (all X all Xa all Xb all Xc all Xd all Xe all Xf (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc63158263_prop1(X,Xa,Xb,Xc,Xd),Xe),Xf)) <-> pp(scratc1412750047_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc325136367d_esti(X),Xf),aa_TPTP_ind_TPTP_ind(scratc84137548_ecect(X,Xa),Xd)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1207580611d_e_is(Xb),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Xc),Xf)),Xe))))) # label(fact_def__d__10__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 79 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1769423128_fixfu(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_fun987228051d_bool(aTP_Lamm_ax(X),Xa),Xb),Xc))))) # label(fact_def__fixfu) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 80 (all X all Xa scratc84137548_ecect(X,Xa) = scratc1207580606d_e_in(aa_TPTP_ind_TPTP_ind(scratc660392921_power,X),scratc1455463351d_anec(X,Xa))) # label(fact_def__ecect) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 81 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1293423971ectelt(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc1408625848ectset(X,Xa),aa_TPTP_ind_TPTP_ind(scratc84727939_ecelt(X,Xa),Xb))) # label(fact_def__ectelt) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 82 (all X all Xa scratc1408625848ectset(X,Xa) = scratc799746690nd_out(aa_TPTP_ind_TPTP_ind(scratc660392921_power,X),scratc1455463351d_anec(X,Xa))) # label(fact_def__ectset) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 83 (all X all Xa scratc715950858nd_ect(X,Xa) = aa_fun1431113780TP_ind(scratc1296498598_d_Sep(aa_TPTP_ind_TPTP_ind(scratc660392921_power,X)),scratc1455463351d_anec(X,Xa))) # label(fact_def__ect) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 84 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(scratc1455463351d_anec(X,Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc188354676l_some(X),aa_TPT43085870d_bool(scratc715950854nd_ecp(X,Xa),Xb))))) # label(fact_def__anec) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 85 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc715950854nd_ecp(X,Xa),Xb),Xc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1207580611d_e_is(aa_TPTP_ind_TPTP_ind(scratc660392921_power,X)),Xb),aa_TPTP_ind_TPTP_ind(scratc84727939_ecelt(X,Xa),Xc))))) # label(fact_def__ecp) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 86 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc84727939_ecelt(X,Xa),Xb) = aa_fun1431113780TP_ind(scratc1296498598_d_Sep(X),aa_TPT43085870d_bool(Xa,Xb))) # label(fact_def__ecelt) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 87 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1514743194unmore(X,Xa),Xb) = aa_fun1431113780TP_ind(scratc1296498598_d_Sep(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_az(X),Xa),Xb))) # label(fact_def__unmore) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 88 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc395387385etprop(X,Xa),Xb),Xc)) <-> pp(scratc1412750047_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc325136367d_esti(X),Xc),Xa),scratc1520215227_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc325136367d_esti(X),Xc),Xb)))))) # label(fact_def__nissetprop) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 89 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc177396457t_disj(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc683495221nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ba(X),Xa),Xb))))) # label(fact_def__st__disj) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 90 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1257578810d_incl(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc683495221nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bb(X),Xa),Xb))))) # label(fact_def__incl) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 91 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc918055404nempty,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc188354676l_some(X),aa_TPT43085870d_bool(aTP_Lamm_bc(X),Xa))))) # label(fact_def__nonempty) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 92 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1539550337_empty,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X)),scratc791091585nd_non(X,aa_TPT43085870d_bool(aTP_Lamm_bc(X),Xa)))))) # label(fact_def__empty) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 93 (all X scratc325136367d_esti(X) = scratc731738353bnd_in) # label(fact_def__esti) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 94 (all X all Xa (scratc989268420d_r_ec(X,Xa) <-> (pp(X) -> pp(scratc1520215227_d_not(Xa))))) # label(fact_def__r__ec) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 95 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(scratc1720010090hangef(X,Xa,Xb,Xc),Xd) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc596598605_Sigma,X),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aa_TPT1781712639TP_ind(aTP_Lamm_bd(X),Xb),Xc),Xd))) # label(fact_def__changef) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 96 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1276652645wissel(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc596598605_Sigma,X),scratc334757072sel_wb(X,Xa,Xb))) # label(fact_def__wissel) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 97 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc334757072sel_wb(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc750112046nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1207580611d_e_is(X),Xc),Xb),X,Xa),aa_TPTP_ind_TPTP_ind(scratc334757071sel_wa(X,Xa,Xb),Xc))) # label(fact_def__wissel__wb) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 98 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc334757071sel_wa(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc750112046nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1207580611d_e_is(X),Xc),Xa),X,Xb),Xc)) # label(fact_def__wissel__wa) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 99 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc750112046nd_ite(X,Xa,Xb),Xc) = scratc749718451nd_ind(Xa,aa_TPT43085870d_bool(scratc789300354_prop1(X,Xa,Xb),Xc))) # label(fact_def__ite) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 100 (all X all Xa all Xb all Xc all Xd (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc789300354_prop1(X,Xa,Xb),Xc),Xd)) <-> pp(scratc1412750047_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc749652864nd_imp,X),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1207580611d_e_is(Xa),Xd),Xb)),aa_bool_bool(aa_boo1142376798l_bool(scratc749652864nd_imp,scratc1520215227_d_not(X)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1207580611d_e_is(Xa),Xd),Xc)))))) # label(fact_def__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 101 (all X all Xa scratc2035868576second(X,Xa) = scratc788906760_proj1) # label(fact_def__second) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 102 (all X all Xa scratc1720706884_first(X,Xa) = scratc788906759_proj0) # label(fact_def__first) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 103 (all X all Xa scratc1197822002d_pair(X,Xa) = scratc172232294d_pair) # label(fact_def__d__pair) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 104 (all X all Xa scratc799746690nd_out(X,Xa) = scratc481974518d_soft(aa_fun1431113780TP_ind(scratc1296498598_d_Sep(X),Xa),X,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc596598605_Sigma,aa_fun1431113780TP_ind(scratc1296498598_d_Sep(X),Xa)),scratc1207580606d_e_in(X,Xa)))) # label(fact_def__out) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 105 (all X all Xa all Xb (gg_TPTP_ind(Xb) -> aa_TPTP_ind_TPTP_ind(scratc1207580606d_e_in(X,Xa),Xb) = Xb)) # label(fact_def__e__in) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 106 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(scratc1017915311_inj_h(X,Xa,Xb,Xc),Xd) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc596598605_Sigma,X),aa_TPT1424761345TP_ind(aTP_Lamm_be(Xc),Xd))) # label(fact_def__inj__h) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 107 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1258825185d_invf(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc596598605_Sigma,Xa),scratc481974518d_soft(X,Xa,Xb))) # label(fact_def__invf) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 108 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1584735897ective(X),Xa),Xb)) <-> pp(scratc1412750047_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1401016667ective(X),Xa),Xb),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2078616328ective(X),Xa),Xb))))) # label(fact_def__bijective) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 109 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2078616328ective(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc683495221nd_all(Xa),aa_TPT43085870d_bool(scratc1678064815_image(X,Xa),Xb))))) # label(fact_def__surjective) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 110 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1706051140nverse(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc596598605_Sigma,Xa),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_bf(X),Xa),Xb))) # label(fact_def__inverse) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 111 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc481974518d_soft(X,Xa,Xb),Xc) = scratc749718451nd_ind(X,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bg(Xa),Xb),Xc))) # label(fact_def__soft) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 112 (all X all Xa scratc1262561716d_tofs(X,Xa) = scratc731213563bnd_ap) # label(fact_def__tofs) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 113 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1678064815_image(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc188354676l_some(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bg(Xa),Xb),Xc))))) # label(fact_def__image) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 114 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1401016667ective(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc683495221nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bi(X),Xa),Xb))))) # label(fact_def__injective) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 115 (all X all Xa scratc749718451nd_ind(X,Xa) = scratc716803644nd_eps(aa_fun1584354236d_bool(aTP_Lamm_bj(X),Xa))) # label(fact_def__ind) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 116 (all X all Xa (pp(aa_fun171081125l_bool(scratc799287482nd_one(X),Xa)) <-> pp(scratc1412750047_d_and(scratc1267605358_amone(X,Xa),aa_fun171081125l_bool(scratc188354676l_some(X),Xa))))) # label(fact_def__one) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 117 (all X all Xa (pp(scratc1267605358_amone(X,Xa)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X)),aa_fun1584354236d_bool(aTP_Lamm_bl(X),Xa))))) # label(fact_def__amone) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 118 (all X scratc1207580611d_e_is(X) = fequal_TPTP_ind) # label(fact_def__e__is) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 119 (all X all Xa all Xb (scratc1713751878_orec3(X,Xa,Xb) <-> pp(scratc1412750047_d_and(scratc799549828nd_or3(X,Xa,Xb),scratc715950793nd_ec3(X,Xa,Xb))))) # label(fact_def__orec3) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 120 (all X all Xa all Xb (pp(scratc715950793nd_ec3(X,Xa,Xb)) <-> scratc1455397704d_and3(scratc594333630d_l_ec(X,Xa),scratc594333630d_l_ec(Xa,Xb),scratc594333630d_l_ec(Xb,X)))) # label(fact_def__ec3) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 121 (all X all Xa all Xb (scratc1455397704d_and3(X,Xa,Xb) <-> pp(scratc1412750047_d_and(X,scratc1412750047_d_and(Xa,Xb))))) # label(fact_def__and3) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 122 (all X all Xa all Xb (pp(scratc799549828nd_or3(X,Xa,Xb)) <-> pp(aa_bool_bool(scratc594989635d_l_or(X),aa_bool_bool(scratc594989635d_l_or(Xa),Xb))))) # label(fact_def__or3) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 123 (all X all Xa (pp(aa_fun171081125l_bool(scratc188354676l_some(X),Xa)) <-> pp(scratc1520215227_d_not(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X)),scratc791091585nd_non(X,Xa)))))) # label(fact_def__l__some) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 124 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(scratc791091585nd_non(X,Xa),Xb)) <-> pp(scratc1520215227_d_not(aa_TPTP_ind_bool(Xa,Xb))))) # label(fact_def__non) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 125 (all X scratc683495221nd_all(X) = scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X))) # label(fact_def__all) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 126 (all X all Xa (scratc159407849_l_iff(X,Xa) <-> pp(scratc1412750047_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc749652864nd_imp,X),Xa),aa_bool_bool(aa_boo1142376798l_bool(scratc749652864nd_imp,Xa),X))))) # label(fact_def__l__iff) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 127 (all X all Xa (scratc1679311917d_orec(X,Xa) <-> pp(scratc1412750047_d_and(aa_bool_bool(scratc594989635d_l_or(X),Xa),scratc594333630d_l_ec(X,Xa))))) # label(fact_def__orec) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 128 (all X scratc594989635d_l_or(X) = aa_boo1142376798l_bool(scratc749652864nd_imp,scratc1520215227_d_not(X))) # label(fact_def__l__or) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 129 (all X all Xa (pp(scratc1412750047_d_and(X,Xa)) <-> pp(scratc1520215227_d_not(scratc594333630d_l_ec(X,Xa))))) # label(fact_def__d__and) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 130 (all X all Xa (pp(scratc594333630d_l_ec(X,Xa)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc749652864nd_imp,X),scratc1520215227_d_not(Xa))))) # label(fact_def__l__ec) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 131 scratc423650139bvious <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc749652864nd_imp,fFalse),fFalse)) # label(fact_def__obvious) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 132 (all X (scratc864789138nd_wel(X) <-> pp(scratc1520215227_d_not(scratc1520215227_d_not(X))))) # label(fact_def__wel) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 133 (all X (pp(scratc1520215227_d_not(X)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc749652864nd_imp,X),fFalse)))) # label(fact_def__d__not) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 134 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc66376337d_d_Pi,X),Xa) = aa_fun1431113780TP_ind(scratc1296498598_d_Sep(aa_TPTP_ind_TPTP_ind(scratc660392921_power,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc596598605_Sigma,X),aTP_Lamm_bm(Xa)))),aa_fun1913827119d_bool(aTP_Lamm_bn(X),Xa))) # label(fact_def__d__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 135 (all X (gg_TPTP_ind(X) -> (pp(aa_TPTP_ind_bool(scratc17069770pair_p,X)) <-> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc172232294d_pair,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,X),scratc632460417ptyset)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,X),aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,scratc632460417ptyset))) = X))) # label(fact_def__pair__p) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 136 (all X all Xa aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,X),Xa) = aa_fun277296641TP_ind(scratc958847959eplSep(X,aa_TPT43085870d_bool(aTP_Lamm_bo,Xa)),scratc788906760_proj1)) # label(fact_def__ap) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 137 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1941726541etprod(X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc596598605_Sigma,X),aTP_Lamm_ag(Xa))) # label(fact_def__setprod) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 138 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc596598605_Sigma,X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc997900969munion,X),aTP_Lamm_bp(Xa))) # label(fact_def__d__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 139 (all X aa_TPTP_ind_TPTP_ind(scratc788906760_proj1,X) = aa_fun277296641TP_ind(scratc958847959eplSep(X,aTP_Lamm_bq),scratc1313611993_d_Unj)) # label(fact_def__proj1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 140 (all X aa_TPTP_ind_TPTP_ind(scratc788906759_proj0,X) = aa_fun277296641TP_ind(scratc958847959eplSep(X,aTP_Lamm_br),scratc1313611993_d_Unj)) # label(fact_def__proj0) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 141 (all X all Xa aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc172232294d_pair,X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1991758068nunion(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1766911899d_repl,X),scratc927157411d_Inj0)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1766911899d_repl,Xa),scratc927157412d_Inj1))) # label(fact_def__pair) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 142 (all X aa_TPTP_ind_TPTP_ind(scratc927157411d_Inj0,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1766911899d_repl,X),scratc927157412d_Inj1)) # label(fact_def__d__Inj0) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 143 (all X (pp(aa_TPTP_ind_bool(scratc164455003_nat_p,X)) <-> (all X1 (pp(aa_TPTP_ind_bool(X1,scratc632460417ptyset)) -> ((all X2 (gg_TPTP_ind(X2) -> (pp(aa_TPTP_ind_bool(X1,X2)) -> pp(aa_TPTP_ind_bool(X1,aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,X2)))))) -> pp(aa_TPTP_ind_bool(X1,X))))))) # label(fact_def__nat__p) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 144 (all X aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,X) = aa_TPTP_ind_TPTP_ind(scratc1991758068nunion(X),aa_TPTP_ind_TPTP_ind(scratc102049735d_Sing,X))) # label(fact_def__ordsucc) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 145 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc686611539In_rec(X),Xa) = scratc716803644nd_eps(aa_TPT43085870d_bool(scratc1750379124_rec_G(X),Xa))) # label(fact_def__d__In__rec) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 146 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1750379124_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(scratc731738353bnd_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].
% 1.20/1.58 147 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1908043610tminus(X),Xa) = aa_fun1431113780TP_ind(scratc1296498598_d_Sep(X),aa_TPT43085870d_bool(aTP_Lamm_bu,Xa))) # label(fact_def__setminus) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 148 (all X all Xa scratc958847959eplSep(X,Xa) = aa_TPT494704832TP_ind(scratc1766911899d_repl,aa_fun1431113780TP_ind(scratc1296498598_d_Sep(X),Xa))) # label(fact_def__d__ReplSep) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 149 (all X all Xa aa_fun1431113780TP_ind(scratc1296498598_d_Sep(X),Xa) = aa_TPTP_ind_TPTP_ind(scratc731738345bnd_if(fEx_TPTP_ind(cOMBS_2003118649l_bool(cOMBB_658106424TP_ind(fconj,aa_TPT43085870d_bool(cOMBC_1555011498d_bool(scratc731738353bnd_in),X)),Xa)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1766911899d_repl,X),aa_fun1235454963TP_ind(aTP_Lamm_bv(X),Xa))),scratc632460417ptyset)) # label(fact_def__d__Sep) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 150 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc997900969munion,X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1167654787_union,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1766911899d_repl,X),Xa))) # label(fact_def__famunion) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 151 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1991758068nunion(X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1167654787_union,aa_TPTP_ind_TPTP_ind(scratc491084983_UPair(X),Xa))) # label(fact_def__binunion) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 152 (all X aa_TPTP_ind_TPTP_ind(scratc102049735d_Sing,X) = aa_TPTP_ind_TPTP_ind(scratc491084983_UPair(X),X)) # label(fact_def__d__Sing) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.58 153 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc491084983_UPair(X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1766911899d_repl,aa_TPTP_ind_TPTP_ind(scratc660392921_power,aa_TPTP_ind_TPTP_ind(scratc660392921_power,scratc632460417ptyset))),aa_TPT1424761345TP_ind(aTP_Lamm_bw(X),Xa))) # label(fact_def__d__UPair) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 154 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc788598823nd_nIn,X),Xa)) <-> -pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X),Xa)))) # label(fact_def__nIn) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 155 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc731738345bnd_if(X,Xa),Xb) = scratc716803644nd_eps(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bx(X),Xa),Xb))) # label(fact_def__if) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 156 (all X (pp(aa_TPTP_ind_bool(scratc2048903024closed,X)) <-> pp(aa_TPTP_ind_bool(scratc846404899closed,X)) & pp(aa_TPTP_ind_bool(scratc1011137913closed,X)) & pp(aa_TPTP_ind_bool(scratc429196819closed,X)))) # label(fact_def__d__ZF__closed) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 157 (all X (pp(aa_TPTP_ind_bool(scratc429196819closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X1),X)) -> (all X2 ((all X3 (gg_TPTP_ind(X3) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X3),X1)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,aa_TPTP_ind_TPTP_ind(X2,X3)),X))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1766911899d_repl,X1),X2)),X))))))))) # label(fact_def__d__Repl__closed) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 158 (all X (pp(aa_TPTP_ind_bool(scratc1011137913closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X1),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,aa_TPTP_ind_TPTP_ind(scratc660392921_power,X1)),X))))))) # label(fact_def__d__Power__closed) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 159 (all X (pp(aa_TPTP_ind_bool(scratc846404899closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X1),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,aa_TPTP_ind_TPTP_ind(scratc1167654787_union,X1)),X))))))) # label(fact_def__d__Union__closed) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 160 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc200400617d_Subq,X),Xa)) <-> (all X2 (gg_TPTP_ind(X2) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X2),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X2),Xa))))))) # label(fact_def__d__Subq) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 161 (all X all Xa (pp(aa_fun171081125l_bool(scratc1077693868all_of(X),Xa)) <-> (all X2 (gg_TPTP_ind(X2) -> (scratc277810797_is_of(X2,X) -> pp(aa_TPTP_ind_bool(Xa,X2))))))) # label(fact_def__all__of) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 162 (all X all Xa (scratc277810797_is_of(X,Xa) <-> pp(aa_TPTP_ind_bool(Xa,X)))) # label(fact_def__is__of) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 163 (all X0 (pp(aa_fun171081125l_bool(scratc932179318n_some,X0)) -> pp(aa_fun171081125l_bool(scratc953516132_n_one,scratc782436486nd_min(X0))))) # label(fact_satz27a) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 164 (all X0 (pp(aa_fun171081125l_bool(scratc932179318n_some,X0)) -> pp(aa_fun171081125l_bool(scratc932179318n_some,scratc782436486nd_min(X0))))) # label(fact_satz27) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 165 (all X0 pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_ub,X0)),aa_TPT43085870d_bool(aTP_Lamm_ud,X0)))) # label(fact_isseti) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 166 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X0)),aa_fun1584354236d_bool(aTP_Lamm_ue(X0),X12)))) # label(fact_estie) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 167 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X0)),aa_fun1584354236d_bool(aTP_Lamm_uf(X0),X12)))) # label(fact_estii) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 168 (all X0 all X12 scratc277810797_is_of(aa_fun1431113780TP_ind(scratc1296498598_d_Sep(X0),X12),aa_TPT43085870d_bool(aTP_Lamm_ub,X0))) # label(fact_setof__p) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 169 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X0)),aa_TPT43085870d_bool(aTP_Lamm_uh(X0),X12)))) # label(fact_secondis1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 170 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X0)),aa_TPT43085870d_bool(aTP_Lamm_uj(X0),X12)))) # label(fact_firstis1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 171 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_uk(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_ul(X0),X12)))) # label(fact_pairis1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 172 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_uk(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_um(X0),X12)))) # label(fact_second__p) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 173 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_uk(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_un(X0),X12)))) # label(fact_first__p) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 174 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X0)),aa_TPT43085870d_bool(aTP_Lamm_up(X0),X12)))) # label(fact_e__pair__p) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 175 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X0)),aa_fun1584354236d_bool(aTP_Lamm_uq(X0),X12)))) # label(fact_otax2) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 176 (all X0 all X12 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1401016667ective(aa_fun1431113780TP_ind(scratc1296498598_d_Sep(X0),X12)),X0),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc596598605_Sigma,aa_fun1431113780TP_ind(scratc1296498598_d_Sep(X0),X12)),scratc1207580606d_e_in(X0,X12))))) # label(fact_otax1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 177 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_fun1584354236d_bool(aTP_Lamm_ur(X0),X12)),aa_fun1584354236d_bool(aTP_Lamm_us(X0),X12)))) # label(fact_e__inp) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 178 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_fun1584354236d_bool(aTP_Lamm_ur(X0),X12)),aa_fun1584354236d_bool(aTP_Lamm_ut(X0),X12)))) # label(fact_e__in__p) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 179 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_uu(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_ux(X0),X12)))) # label(fact_e__fisi) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 180 (all X0 all X12 (pp(aa_fun171081125l_bool(scratc799287482nd_one(X0),X12)) -> pp(aa_TPTP_ind_bool(X12,scratc749718451nd_ind(X0,X12))))) # label(fact_oneax) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 181 (all X0 all X12 (pp(aa_fun171081125l_bool(scratc799287482nd_one(X0),X12)) -> scratc277810797_is_of(scratc749718451nd_ind(X0,X12),aa_TPT43085870d_bool(aTP_Lamm_ar,X0)))) # label(fact_ind__p) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 182 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X0)),aa_fun1584354236d_bool(aTP_Lamm_uz(X0),X12)))) # label(fact_e__isp) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 183 (all X0 pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X0)),aa_TPT43085870d_bool(aTP_Lamm_va,X0)))) # label(fact_refis) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 184 (all X0 (scratc864789138nd_wel(X0) -> pp(X0))) # label(fact_l__et) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 185 (all X0 all X12 all X22 all X32 (pp(X0) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc731738345bnd_if(X0,X22),X32))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X12),X22))))) # label(fact_k__If__In__then__E) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 186 (all X0 all X12 all X22 ((pp(X0) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X12),X22))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,aa_TPTP_ind_TPTP_ind(scratc731738345bnd_if(X0,X12),scratc632460417ptyset)),aa_TPTP_ind_TPTP_ind(scratc731738345bnd_if(X0,X22),aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,scratc632460417ptyset)))))) # label(fact_k__If__In__01) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 187 (all X0 all X12 all X22 ((all X33 (gg_TPTP_ind(X33) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X33),X0)) -> aa_TPTP_ind_TPTP_ind(X12,X33) = aa_TPTP_ind_TPTP_ind(X22,X33)))) -> aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc596598605_Sigma,X0),X12) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc596598605_Sigma,X0),X22))) # label(fact_xi__ext) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 188 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc66376337d_d_Pi,X0),X12))) -> (all X32 (gg_TPTP_ind(X32) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X32),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc66376337d_d_Pi,X0),X12))) -> ((all X42 (gg_TPTP_ind(X42) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X42),X0)) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,X22),X42) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,X32),X42)))) -> X22 = X32))))))) # label(fact_k__Pi__ext) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 189 (all X0 all X12 all X22 all X32 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc66376337d_d_Pi,X0),X12))) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X32),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,X22),X32)),aa_TPTP_ind_TPTP_ind(X12,X32)))))) # label(fact_ap__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 190 (all X0 all X12 all X22 ((all X33 (gg_TPTP_ind(X33) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X33),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,aa_TPTP_ind_TPTP_ind(X22,X33)),aa_TPTP_ind_TPTP_ind(X12,X33)))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc596598605_Sigma,X0),X22)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc66376337d_d_Pi,X0),X12))))) # label(fact_lam__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 191 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X22),X0)) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc596598605_Sigma,X0),X12)),X22) = aa_TPTP_ind_TPTP_ind(X12,X22))) # label(fact_beta) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 192 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc596598605_Sigma,X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,aa_TPTP_ind_TPTP_ind(scratc788906760_proj1,X22)),aa_TPTP_ind_TPTP_ind(X12,aa_TPTP_ind_TPTP_ind(scratc788906759_proj0,X22)))))) # label(fact_proj1__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 193 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc596598605_Sigma,X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,aa_TPTP_ind_TPTP_ind(scratc788906759_proj0,X22)),X0)))) # label(fact_proj0__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 194 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc596598605_Sigma,X0),X12))) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc172232294d_pair,aa_TPTP_ind_TPTP_ind(scratc788906759_proj0,X22)),aa_TPTP_ind_TPTP_ind(scratc788906760_proj1,X22)) = X22))) # label(fact_proj__Sigma__eta) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 195 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc596598605_Sigma,X0),X12))) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc172232294d_pair,aa_TPTP_ind_TPTP_ind(scratc788906759_proj0,X22)),aa_TPTP_ind_TPTP_ind(scratc788906760_proj1,X22)) = X22 & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,aa_TPTP_ind_TPTP_ind(scratc788906759_proj0,X22)),X0)) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,aa_TPTP_ind_TPTP_ind(scratc788906760_proj1,X22)),aa_TPTP_ind_TPTP_ind(X12,aa_TPTP_ind_TPTP_ind(scratc788906759_proj0,X22))))))) # label(fact_k__Sigma__eta__proj0__proj1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 196 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X22),X0)) -> (all X32 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X32),aa_TPTP_ind_TPTP_ind(X12,X22))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc172232294d_pair,X22),X32)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc596598605_Sigma,X0),X12))))))) # label(fact_pair__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 197 (all X0 all X12 (gg_TPTP_ind(X12) -> aa_TPTP_ind_TPTP_ind(scratc788906760_proj1,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc172232294d_pair,X0),X12)) = X12)) # label(fact_proj1__pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 198 (all X0 all X12 (gg_TPTP_ind(X0) -> aa_TPTP_ind_TPTP_ind(scratc788906759_proj0,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc172232294d_pair,X0),X12)) = X0)) # label(fact_proj0__pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 199 (all X0 (pp(aa_TPTP_ind_bool(scratc164455003_nat_p,X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X0),scratc2106045621_omega)))) # label(fact_nat__p__omega) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 200 (all X0 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X0),scratc2106045621_omega)) -> pp(aa_TPTP_ind_bool(scratc164455003_nat_p,X0)))) # label(fact_omega__nat__p) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 201 (all X0 (gg_TPTP_ind(X0) -> (pp(aa_TPTP_ind_bool(scratc164455003_nat_p,X0)) -> X0 = scratc632460417ptyset | (exists X13 (gg_TPTP_ind(X13) & pp(aa_TPTP_ind_bool(scratc164455003_nat_p,X13)) & X0 = aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,X13)))))) # label(fact_nat__inv) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 202 (all X0 (pp(aa_TPTP_ind_bool(X0,scratc632460417ptyset)) -> ((all X13 (gg_TPTP_ind(X13) -> (pp(aa_TPTP_ind_bool(scratc164455003_nat_p,X13)) -> (pp(aa_TPTP_ind_bool(X0,X13)) -> pp(aa_TPTP_ind_bool(X0,aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,X13))))))) -> (all X12 (pp(aa_TPTP_ind_bool(scratc164455003_nat_p,X12)) -> pp(aa_TPTP_ind_bool(X0,X12))))))) # label(fact_nat__ind) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 203 (all X0 (pp(aa_TPTP_ind_bool(scratc164455003_nat_p,X0)) -> pp(aa_TPTP_ind_bool(scratc164455003_nat_p,aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,X0))))) # label(fact_nat__ordsucc) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 204 (all X0 all X12 (gg_TPTP_ind(X0) & gg_TPTP_ind(X12) -> (aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,X0) = aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,X12) -> X0 = X12))) # label(fact_ordsucc__inj) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 205 (all X0 aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,X0) != scratc632460417ptyset) # label(fact_neq__ordsucc__0) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 206 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X22),aa_fun1431113780TP_ind(scratc1296498598_d_Sep(X0),X12))) -> pp(aa_TPTP_ind_bool(X12,X22)))) # label(fact_k__SepE2) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 207 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X22),aa_fun1431113780TP_ind(scratc1296498598_d_Sep(X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X22),X0)))) # label(fact_k__SepE1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 208 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X22),X0)) -> (pp(aa_TPTP_ind_bool(X12,X22)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X22),aa_fun1431113780TP_ind(scratc1296498598_d_Sep(X0),X12)))))) # label(fact_k__SepI) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 209 (all X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X0),aa_TPTP_ind_TPTP_ind(scratc660392921_power,X0)))) # label(fact_k__Self__In__Power) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 210 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc200400617d_Subq,X12),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc660392921_power,X0))))) # label(fact_k__PowerI) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 211 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc660392921_power,X0))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc200400617d_Subq,X12),X0)))) # label(fact_k__PowerE) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 212 (all X0 all X12 all X22 (gg_TPTP_ind(X12) & gg_TPTP_ind(X22) -> aa_TPTP_ind_TPTP_ind(scratc731738345bnd_if(X0,X12),X22) = X12 | aa_TPTP_ind_TPTP_ind(scratc731738345bnd_if(X0,X12),X22) = X22)) # label(fact_if__i__or) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 213 (all X0 all X12 all X22 (gg_TPTP_ind(X12) -> (pp(X0) -> aa_TPTP_ind_TPTP_ind(scratc731738345bnd_if(X0,X12),X22) = X12))) # label(fact_if__i__1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 214 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (-pp(X0) -> aa_TPTP_ind_TPTP_ind(scratc731738345bnd_if(X0,X12),X22) = X22))) # label(fact_if__i__0) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 215 (all X0 all X12 all X22 (gg_TPTP_ind(X12) & gg_TPTP_ind(X22) -> pp(X0) & aa_TPTP_ind_TPTP_ind(scratc731738345bnd_if(X0,X12),X22) = X12 | -pp(X0) & aa_TPTP_ind_TPTP_ind(scratc731738345bnd_if(X0,X12),X22) = X22)) # label(fact_if__i__correct) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 216 (all X0 pp(aa_TPTP_ind_bool(scratc2048903024closed,aa_TPTP_ind_TPTP_ind(scratc597511785univof,X0)))) # label(fact_k__UnivOf__ZF__closed) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 217 (all X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X0),aa_TPTP_ind_TPTP_ind(scratc597511785univof,X0)))) # label(fact_k__UnivOf__In) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 218 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1766911899d_repl,X0),X12))) <-> (exists X3 (gg_TPTP_ind(X3) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X3),X0)) & X22 = aa_TPTP_ind_TPTP_ind(X12,X3)))))) # label(fact_k__ReplEq) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 219 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc660392921_power,X0))) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc200400617d_Subq,X12),X0)))) # label(fact_k__PowerEq) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 220 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1167654787_union,X0))) <-> (exists X2 (gg_TPTP_ind(X2) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X12),X2)) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X2),X0)))))) # label(fact_k__UnionEq) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 221 -(exists X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X0),scratc632460417ptyset))) # label(fact_k__EmptyAx) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 222 (all X0 ((all X13 (gg_TPTP_ind(X13) -> ((all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_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].
% 1.20/1.59 223 (all X0 all X12 (gg_TPTP_ind(X0) & gg_TPTP_ind(X12) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc200400617d_Subq,X0),X12)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc200400617d_Subq,X12),X0)) -> X0 = X12)))) # label(fact_set__ext) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 224 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tq,Uu)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc790697996nd_nis,Uu),scratc741362479nd_n_1)) -> pp(aa_fun171081125l_bool(scratc932179318n_some,aa_TPT43085870d_bool(aTP_Lamm_ao,Uu)))))) # label(fact_ATP_Olambda__1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 225 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tp,Uu)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc790697996nd_nis,Uu),scratc741362479nd_n_1)) -> pp(aa_fun171081125l_bool(scratc953516132_n_one,aa_TPT43085870d_bool(aTP_Lamm_ao,Uu)))))) # label(fact_ATP_Olambda__2) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 226 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tm,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),scratc741362479nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uu))))) # label(fact_ATP_Olambda__3) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 227 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lo,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),scratc741362479nd_n_1)),Uu)))) # label(fact_ATP_Olambda__4) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 228 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tj,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(scratc741362479nd_n_1),Uu)),aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uu))))) # label(fact_ATP_Olambda__5) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 229 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ll,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(scratc741362479nd_n_1),Uu)),Uu)))) # label(fact_ATP_Olambda__6) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 230 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_to,Uu)) <-> pp(aa_fun171081125l_bool(scratc799287482nd_one(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc66376337d_d_Pi,scratc790173205nd_nat),aTP_Lamm_ai)),aa_TPT43085870d_bool(aTP_Lamm_tn,Uu))))) # label(fact_ATP_Olambda__7) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 231 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lq,Uu)) <-> pp(aa_fun171081125l_bool(scratc799287482nd_one(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc66376337d_d_Pi,scratc790173205nd_nat),aTP_Lamm_ai)),aa_TPT43085870d_bool(aTP_Lamm_lp,Uu))))) # label(fact_ATP_Olambda__8) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 232 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tw,Uu)) <-> (pp(aa_TPTP_ind_bool(scratc804023491_cond1,Uu)) -> (pp(aa_TPTP_ind_bool(scratc804023492_cond2,Uu)) -> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_tv,Uu))))))) # label(fact_ATP_Olambda__9) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 233 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tg,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),scratc741362479nd_n_1))))) # label(fact_ATP_Olambda__10) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 234 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_td,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(scratc741362479nd_n_1),Uu))))) # label(fact_ATP_Olambda__11) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 235 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qd,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uu)),Uu)))) # label(fact_ATP_Olambda__12) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 236 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tr,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc790697996nd_nis,aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uu)),Uu)))) # label(fact_ATP_Olambda__13) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 237 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ua,Uu)) <-> scratc277810797_is_of(aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uu),aTP_Lamm_ds))) # label(fact_ATP_Olambda__14) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 238 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mi,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uu)),scratc741362479nd_n_1)))) # label(fact_ATP_Olambda__15) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 239 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tz,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc790697996nd_nis,aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uu)),scratc741362479nd_n_1)))) # label(fact_ATP_Olambda__16) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 240 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_li,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),scratc741362479nd_n_1))))) # label(fact_ATP_Olambda__17) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 241 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lf,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(scratc741362479nd_n_1),Uu))))) # label(fact_ATP_Olambda__18) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 242 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qc,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uu),aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uu))))) # label(fact_ATP_Olambda__19) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 243 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tu,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,Uu),aa_TPTP_ind_TPTP_ind(scratc660392921_power,scratc790173205nd_nat))))) # label(fact_ATP_Olambda__20) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 244 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hl,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uu),Uu)))) # label(fact_ATP_Olambda__21) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 245 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mj,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,Uu),scratc741362479nd_n_1)))) # label(fact_ATP_Olambda__22) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 246 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_a,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,Uu),scratc1096215674d_frac)))) # label(fact_ATP_Olambda__23) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 247 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ds,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,Uu),scratc790173205nd_nat)))) # label(fact_ATP_Olambda__24) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 248 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ty,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_tx,Uu))))) # label(fact_ATP_Olambda__25) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 249 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tt,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ts,Uu))))) # label(fact_ATP_Olambda__26) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 250 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tl,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_tk,Uu))))) # label(fact_ATP_Olambda__27) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 251 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ti,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_th,Uu))))) # label(fact_ATP_Olambda__28) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 252 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tf,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_te,Uu))))) # label(fact_ATP_Olambda__29) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 253 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_tb,Uu))))) # label(fact_ATP_Olambda__30) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 254 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ta,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_sz,Uu))))) # label(fact_ATP_Olambda__31) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 255 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_sw,Uu))))) # label(fact_ATP_Olambda__32) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 256 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_su,Uu))))) # label(fact_ATP_Olambda__33) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 257 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_st,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ss,Uu))))) # label(fact_ATP_Olambda__34) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 258 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_sp,Uu))))) # label(fact_ATP_Olambda__35) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 259 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sn,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_sm,Uu))))) # label(fact_ATP_Olambda__36) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 260 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sl,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_sk,Uu))))) # label(fact_ATP_Olambda__37) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 261 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_sg,Uu))))) # label(fact_ATP_Olambda__38) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 262 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sf,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_se,Uu))))) # label(fact_ATP_Olambda__39) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 263 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sd,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_sc,Uu))))) # label(fact_ATP_Olambda__40) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 264 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sb,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_sa,Uu))))) # label(fact_ATP_Olambda__41) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 265 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ry,Uu))))) # label(fact_ATP_Olambda__42) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 266 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_rw,Uu))))) # label(fact_ATP_Olambda__43) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 267 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ru,Uu))))) # label(fact_ATP_Olambda__44) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 268 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rt,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_rs,Uu))))) # label(fact_ATP_Olambda__45) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 269 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rr,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_rq,Uu))))) # label(fact_ATP_Olambda__46) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 270 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rp,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ro,Uu))))) # label(fact_ATP_Olambda__47) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 271 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rn,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_rm,Uu))))) # label(fact_ATP_Olambda__48) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 272 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rl,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_rk,Uu))))) # label(fact_ATP_Olambda__49) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 273 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rj,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ri,Uu))))) # label(fact_ATP_Olambda__50) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 274 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_rg,Uu))))) # label(fact_ATP_Olambda__51) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 275 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rf,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_re,Uu))))) # label(fact_ATP_Olambda__52) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 276 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rd,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_rc,Uu))))) # label(fact_ATP_Olambda__53) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 277 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rb,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ra,Uu))))) # label(fact_ATP_Olambda__54) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 278 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_qy,Uu))))) # label(fact_ATP_Olambda__55) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 279 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_qv,Uu))))) # label(fact_ATP_Olambda__56) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 280 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qt,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_qs,Uu))))) # label(fact_ATP_Olambda__57) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 281 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_qp,Uu))))) # label(fact_ATP_Olambda__58) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 282 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qn,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_qm,Uu))))) # label(fact_ATP_Olambda__59) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 283 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_qj,Uu))))) # label(fact_ATP_Olambda__60) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 284 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_qg,Uu))))) # label(fact_ATP_Olambda__61) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 285 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qf,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_qe,Uu))))) # label(fact_ATP_Olambda__62) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 286 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qb,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_qa,Uu))))) # label(fact_ATP_Olambda__63) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 287 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_py,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_px,Uu))))) # label(fact_ATP_Olambda__64) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 288 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_pu,Uu))))) # label(fact_ATP_Olambda__65) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 289 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ps,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_pr,Uu))))) # label(fact_ATP_Olambda__66) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 290 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pp,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_po,Uu))))) # label(fact_ATP_Olambda__67) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 291 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pm,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_pl,Uu))))) # label(fact_ATP_Olambda__68) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 292 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pj,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_pi,Uu))))) # label(fact_ATP_Olambda__69) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 293 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pf,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_pe,Uu))))) # label(fact_ATP_Olambda__70) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 294 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pb,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_pa,Uu))))) # label(fact_ATP_Olambda__71) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 295 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ox,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ow,Uu))))) # label(fact_ATP_Olambda__72) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 296 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ot,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_os,Uu))))) # label(fact_ATP_Olambda__73) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 297 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_op,Uu))))) # label(fact_ATP_Olambda__74) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 298 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_on,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_om,Uu))))) # label(fact_ATP_Olambda__75) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 299 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ok,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_oj,Uu))))) # label(fact_ATP_Olambda__76) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 300 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_og,Uu))))) # label(fact_ATP_Olambda__77) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 301 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oe,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_od,Uu))))) # label(fact_ATP_Olambda__78) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 302 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ob,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_oa,Uu))))) # label(fact_ATP_Olambda__79) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 303 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ny,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_nx,Uu))))) # label(fact_ATP_Olambda__80) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 304 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_nu,Uu))))) # label(fact_ATP_Olambda__81) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 305 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ns,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_nr,Uu))))) # label(fact_ATP_Olambda__82) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 306 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_np,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_no,Uu))))) # label(fact_ATP_Olambda__83) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 307 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nl,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_nk,Uu))))) # label(fact_ATP_Olambda__84) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 308 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ng,Uu))))) # label(fact_ATP_Olambda__85) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 309 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nd,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_nc,Uu))))) # label(fact_ATP_Olambda__86) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 310 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_my,Uu))))) # label(fact_ATP_Olambda__87) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 311 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_mu,Uu))))) # label(fact_ATP_Olambda__88) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 312 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mr,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_mq,Uu))))) # label(fact_ATP_Olambda__89) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 313 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mn,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_mm,Uu))))) # label(fact_ATP_Olambda__90) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 314 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mg,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_mf,Uu))))) # label(fact_ATP_Olambda__91) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 315 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_me,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_md,Uu))))) # label(fact_ATP_Olambda__92) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 316 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_mb,Uu))))) # label(fact_ATP_Olambda__93) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 317 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ma,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_lz,Uu))))) # label(fact_ATP_Olambda__94) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 318 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ly,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_lx,Uu))))) # label(fact_ATP_Olambda__95) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 319 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_lv,Uu))))) # label(fact_ATP_Olambda__96) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 320 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lu,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_lt,Uu))))) # label(fact_ATP_Olambda__97) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 321 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ls,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_lr,Uu))))) # label(fact_ATP_Olambda__98) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 322 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ln,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_lm,Uu))))) # label(fact_ATP_Olambda__99) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 323 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_lj,Uu))))) # label(fact_ATP_Olambda__100) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 324 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_lg,Uu))))) # label(fact_ATP_Olambda__101) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 325 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_le,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ld,Uu))))) # label(fact_ATP_Olambda__102) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 326 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_lb,Uu))))) # label(fact_ATP_Olambda__103) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 327 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_la,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_kz,Uu))))) # label(fact_ATP_Olambda__104) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 328 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_kw,Uu))))) # label(fact_ATP_Olambda__105) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 329 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ku,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_kt,Uu))))) # label(fact_ATP_Olambda__106) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 330 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kr,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_kq,Uu))))) # label(fact_ATP_Olambda__107) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 331 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ko,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_kn,Uu))))) # label(fact_ATP_Olambda__108) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 332 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kl,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_kk,Uu))))) # label(fact_ATP_Olambda__109) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 333 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ki,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_kh,Uu))))) # label(fact_ATP_Olambda__110) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 334 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kf,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ke,Uu))))) # label(fact_ATP_Olambda__111) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 335 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_kb,Uu))))) # label(fact_ATP_Olambda__112) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 336 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jy,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_jx,Uu))))) # label(fact_ATP_Olambda__113) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 337 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ju,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_jt,Uu))))) # label(fact_ATP_Olambda__114) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 338 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_jp,Uu))))) # label(fact_ATP_Olambda__115) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 339 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jm,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_jl,Uu))))) # label(fact_ATP_Olambda__116) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 340 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jj,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ji,Uu))))) # label(fact_ATP_Olambda__117) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 341 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jg,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_jf,Uu))))) # label(fact_ATP_Olambda__118) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 342 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jd,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_jc,Uu))))) # label(fact_ATP_Olambda__119) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 343 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ja,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_iz,Uu))))) # label(fact_ATP_Olambda__120) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 344 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ix,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_iw,Uu))))) # label(fact_ATP_Olambda__121) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 345 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_iu,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_it,Uu))))) # label(fact_ATP_Olambda__122) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 346 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ir,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_iq,Uu))))) # label(fact_ATP_Olambda__123) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 347 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_in,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_im,Uu))))) # label(fact_ATP_Olambda__124) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 348 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ij,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ii,Uu))))) # label(fact_ATP_Olambda__125) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 349 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_if,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ie,Uu))))) # label(fact_ATP_Olambda__126) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 350 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ib,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ia,Uu))))) # label(fact_ATP_Olambda__127) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 351 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_hw,Uu))))) # label(fact_ATP_Olambda__128) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 352 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ht,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_hs,Uu))))) # label(fact_ATP_Olambda__129) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 353 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hp,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ho,Uu))))) # label(fact_ATP_Olambda__130) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 354 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hf,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_he,Uu))))) # label(fact_ATP_Olambda__131) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 355 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hd,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_hc,Uu))))) # label(fact_ATP_Olambda__132) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 356 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hb,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ha,Uu))))) # label(fact_ATP_Olambda__133) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 357 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gy,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_gx,Uu))))) # label(fact_ATP_Olambda__134) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 358 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dy,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_dx,Uu))))) # label(fact_ATP_Olambda__135) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 359 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_du,Uu))))) # label(fact_ATP_Olambda__136) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 360 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hj,Uu))))) # label(fact_ATP_Olambda__137) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 361 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hi,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hh,Uu))))) # label(fact_ATP_Olambda__138) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 362 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gu,Uu))))) # label(fact_ATP_Olambda__139) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 363 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gt,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gs,Uu))))) # label(fact_ATP_Olambda__140) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 364 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gr,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gq,Uu))))) # label(fact_ATP_Olambda__141) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 365 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gp,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_go,Uu))))) # label(fact_ATP_Olambda__142) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 366 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gn,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gm,Uu))))) # label(fact_ATP_Olambda__143) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 367 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gl,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gk,Uu))))) # label(fact_ATP_Olambda__144) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 368 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gg,Uu))))) # label(fact_ATP_Olambda__145) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 369 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gd,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gc,Uu))))) # label(fact_ATP_Olambda__146) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 370 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gb,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ga,Uu))))) # label(fact_ATP_Olambda__147) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 371 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fy,Uu))))) # label(fact_ATP_Olambda__148) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 372 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fw,Uu))))) # label(fact_ATP_Olambda__149) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 373 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fu,Uu))))) # label(fact_ATP_Olambda__150) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 374 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ft,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fs,Uu))))) # label(fact_ATP_Olambda__151) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 375 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fr,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fq,Uu))))) # label(fact_ATP_Olambda__152) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 376 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fp,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fo,Uu))))) # label(fact_ATP_Olambda__153) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 377 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fn,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fm,Uu))))) # label(fact_ATP_Olambda__154) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 378 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fj,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fi,Uu))))) # label(fact_ATP_Olambda__155) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 379 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ff,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fe,Uu))))) # label(fact_ATP_Olambda__156) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 380 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fd,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fc,Uu))))) # label(fact_ATP_Olambda__157) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 381 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fb,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fa,Uu))))) # label(fact_ATP_Olambda__158) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 382 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ey,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ex,Uu))))) # label(fact_ATP_Olambda__159) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 383 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ev,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_eu,Uu))))) # label(fact_ATP_Olambda__160) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 384 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_es,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_er,Uu))))) # label(fact_ATP_Olambda__161) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 385 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ep,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_eo,Uu))))) # label(fact_ATP_Olambda__162) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 386 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_em,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_el,Uu))))) # label(fact_ATP_Olambda__163) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 387 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ef,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ee,Uu))))) # label(fact_ATP_Olambda__164) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 388 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ec,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_eb,Uu))))) # label(fact_ATP_Olambda__165) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 389 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dr,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dq,Uu))))) # label(fact_ATP_Olambda__166) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 390 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dp,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_do,Uu))))) # label(fact_ATP_Olambda__167) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 391 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dm,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dl,Uu))))) # label(fact_ATP_Olambda__168) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 392 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dj,Uu))))) # label(fact_ATP_Olambda__169) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 393 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_di,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dh,Uu))))) # label(fact_ATP_Olambda__170) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 394 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_df,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_de,Uu))))) # label(fact_ATP_Olambda__171) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 395 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_db,Uu))))) # label(fact_ATP_Olambda__172) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 396 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cy,Uu))))) # label(fact_ATP_Olambda__173) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 397 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cv,Uu))))) # label(fact_ATP_Olambda__174) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 398 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ct,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cs,Uu))))) # label(fact_ATP_Olambda__175) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 399 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cp,Uu))))) # label(fact_ATP_Olambda__176) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 400 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cm,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cl,Uu))))) # label(fact_ATP_Olambda__177) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 401 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ci,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ch,Uu))))) # label(fact_ATP_Olambda__178) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 402 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ce,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cd,Uu))))) # label(fact_ATP_Olambda__179) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 403 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ca,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bz,Uu))))) # label(fact_ATP_Olambda__180) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 404 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ac,Uu)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,Uu))))) # label(fact_ATP_Olambda__181) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 405 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ej,Uu)) <-> pp(aa_fun171081125l_bool(scratc188354676l_some(scratc1096215674d_frac),aa_TPT43085870d_bool(aTP_Lamm_ei,Uu))))) # label(fact_ATP_Olambda__182) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 406 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_eh,Uu)) <-> pp(aa_fun171081125l_bool(scratc188354676l_some(scratc1096215674d_frac),aa_TPT43085870d_bool(aTP_Lamm_eg,Uu))))) # label(fact_ATP_Olambda__183) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 407 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mh,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,scratc741362479nd_n_1),aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uu))))) # label(fact_ATP_Olambda__184) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 408 (all Uu aa_TPT494704832TP_ind(aTP_Lamm_bs,Uu) = aa_TPT494704832TP_ind(scratc1766911899d_repl,aa_TPTP_ind_TPTP_ind(scratc1908043610tminus(Uu),aa_TPTP_ind_TPTP_ind(scratc102049735d_Sing,scratc632460417ptyset)))) # label(fact_ATP_Olambda__185) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 409 (all Uu (gg_TPTP_ind(Uu) -> (pp(aa_TPTP_ind_bool(aTP_Lamm_aq,Uu)) <-> Uu != scratc632460417ptyset))) # label(fact_ATP_Olambda__186) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 410 (all Uu (gg_TPTP_ind(Uu) -> (pp(aa_TPTP_ind_bool(aTP_Lamm_bq,Uu)) <-> (exists X2 (gg_TPTP_ind(X2) & aa_TPTP_ind_TPTP_ind(scratc927157412d_Inj1,X2) = Uu))))) # label(fact_ATP_Olambda__187) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 411 (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(scratc927157411d_Inj0,X2) = Uu))))) # label(fact_ATP_Olambda__188) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 412 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sc,Uu),Uua)) <-> scratc1713751878_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uu),Uua)))) # label(fact_ATP_Olambda__189) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 413 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gu,Uu),Uua)) <-> scratc1713751878_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,Uu),Uua)))) # label(fact_ATP_Olambda__190) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 414 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sa,Uu),Uua)) <-> pp(scratc799549828nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__191) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 415 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gs,Uu),Uua)) <-> pp(scratc799549828nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__192) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 416 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ry,Uu),Uua)) <-> pp(scratc715950793nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__193) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 417 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gq,Uu),Uua)) <-> pp(scratc715950793nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__194) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 418 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sk,Uu),Uua)) <-> scratc1713751878_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc932179318n_some,aa_TPT43085870d_bool(aTP_Lamm_si(Uu),Uua)),aa_fun171081125l_bool(scratc932179318n_some,aa_TPT43085870d_bool(aTP_Lamm_sj(Uu),Uua))))) # label(fact_ATP_Olambda__195) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 419 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sg,Uu),Uua)) <-> pp(scratc799549828nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc932179318n_some,aa_TPT43085870d_bool(scratc1914357364ffprop(Uu),Uua)),aa_fun171081125l_bool(scratc932179318n_some,aa_TPT43085870d_bool(scratc1914357364ffprop(Uua),Uu)))))) # label(fact_ATP_Olambda__196) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 420 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_se,Uu),Uua)) <-> pp(scratc715950793nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc932179318n_some,aa_TPT43085870d_bool(scratc1914357364ffprop(Uu),Uua)),aa_fun171081125l_bool(scratc932179318n_some,aa_TPT43085870d_bool(scratc1914357364ffprop(Uua),Uu)))))) # label(fact_ATP_Olambda__197) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 421 (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(scratc1207580611d_e_is(Uu),Uua),Uua)))) # label(fact_ATP_Olambda__198) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 422 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hc,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc726044174d_n_fr,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(aa_TPTP_ind_TPTP_ind(scratc791485178nd_num,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(aa_TPTP_ind_TPTP_ind(scratc707820545nd_den,Uu)),Uua))),Uu)))) # label(fact_ATP_Olambda__199) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 423 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ld,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uua)),Uua)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uu)),Uua))))) # label(fact_ATP_Olambda__200) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 424 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lg,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uua)),Uu)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uua)))))) # label(fact_ATP_Olambda__201) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 425 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tn,Uu),Uua)) <-> pp(scratc1412750047_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Uua),scratc741362479nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uu)),aa_fun171081125l_bool(scratc837723871_n_all,aa_TPT43085870d_bool(aTP_Lamm_an,Uua)))))) # label(fact_ATP_Olambda__202) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 426 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lt,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uua),scratc741362479nd_n_1)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,Uua),Uu))))) # label(fact_ATP_Olambda__203) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.59 427 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lp,Uu),Uua)) <-> pp(scratc1412750047_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Uua),scratc741362479nd_n_1)),Uu),aa_fun171081125l_bool(scratc837723871_n_all,aa_TPT43085870d_bool(aTP_Lamm_al(Uu),Uua)))))) # label(fact_ATP_Olambda__204) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 428 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tx,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__205) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 429 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lj,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uua)),Uua))))) # label(fact_ATP_Olambda__206) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 430 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lr,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uua)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,Uua),Uu))))) # label(fact_ATP_Olambda__207) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 431 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_th,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uua)))))) # label(fact_ATP_Olambda__208) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 432 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lx,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uua),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),scratc741362479nd_n_1))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Uua),Uu))))) # label(fact_ATP_Olambda__209) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 433 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lm,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uua)),Uu))))) # label(fact_ATP_Olambda__210) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 434 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lv,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uua),aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uu))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Uua),Uu))))) # label(fact_ATP_Olambda__211) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 435 (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(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uua)))))) # label(fact_ATP_Olambda__212) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 436 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_an,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Uu),aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Uu),Uua)))))) # label(fact_ATP_Olambda__213) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 437 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mb,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uua),scratc741362479nd_n_1)),Uu))))) # label(fact_ATP_Olambda__214) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 438 (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(scratc790697996nd_nis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc790697996nd_nis,aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uua)))))) # label(fact_ATP_Olambda__215) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 439 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ap,Uu),Uua)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc749652864nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240967d_n_in,Uua),Uu)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240967d_n_in,aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uua)),Uu))))) # label(fact_ATP_Olambda__216) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 440 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lz,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uua)),Uu))))) # label(fact_ATP_Olambda__217) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 441 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mf,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,Uua),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),scratc741362479nd_n_1)))))) # label(fact_ATP_Olambda__218) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 442 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_md,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,Uua),aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uu)))))) # label(fact_ATP_Olambda__219) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 443 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lb,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uua),Uu))))) # label(fact_ATP_Olambda__220) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 444 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sw,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uua),Uu))))) # label(fact_ATP_Olambda__221) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 445 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dq,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uua),Uu))))) # label(fact_ATP_Olambda__222) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 446 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rw,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uua),Uu))))) # label(fact_ATP_Olambda__223) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 447 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rs,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Uua),Uu))))) # label(fact_ATP_Olambda__224) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 448 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rq,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,Uua),Uu))))) # label(fact_ATP_Olambda__225) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 449 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fc,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216250545lesseq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359824_moreq,Uua),Uu))))) # label(fact_ATP_Olambda__226) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 450 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fe,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359824_moreq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216250545lesseq,Uua),Uu))))) # label(fact_ATP_Olambda__227) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 451 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_go,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,Uua),Uu))))) # label(fact_ATP_Olambda__228) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 452 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gm,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,Uua),Uu))))) # label(fact_ATP_Olambda__229) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 453 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hj,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uua),Uu))))) # label(fact_ATP_Olambda__230) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 454 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ru,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uua),Uu))))) # label(fact_ATP_Olambda__231) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 455 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ee,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,Uu),Uua)) -> pp(aa_fun171081125l_bool(scratc188354676l_some(scratc1096215674d_frac),aa_TPT43085870d_bool(aTP_Lamm_ed(Uu),Uua)))))) # label(fact_ATP_Olambda__232) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 456 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rg,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uu),Uua)) -> pp(scratc1520215227_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Uu),Uua)))))) # label(fact_ATP_Olambda__233) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 457 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ro,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,Uu),Uua)) -> pp(scratc1520215227_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uu),Uua)))))) # label(fact_ATP_Olambda__234) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 458 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rm,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Uu),Uua)) -> pp(scratc1520215227_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uu),Uua)))))) # label(fact_ATP_Olambda__235) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 459 (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(scratc1216250545lesseq,Uu),Uua)) -> pp(scratc1520215227_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,Uu),Uua)))))) # label(fact_ATP_Olambda__236) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 460 (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(scratc1495359824_moreq,Uu),Uua)) -> pp(scratc1520215227_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,Uu),Uua)))))) # label(fact_ATP_Olambda__237) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 461 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fu,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,Uu),Uua)) -> pp(scratc1520215227_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216250545lesseq,Uu),Uua)))))) # label(fact_ATP_Olambda__238) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 462 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fs,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,Uu),Uua)) -> pp(scratc1520215227_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359824_moreq,Uu),Uua)))))) # label(fact_ATP_Olambda__239) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 463 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_re,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uu),Uua)) -> pp(scratc1520215227_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,Uu),Uua)))))) # label(fact_ATP_Olambda__240) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 464 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qg,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uua)),Uu)))) # label(fact_ATP_Olambda__241) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 465 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dl,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uu),Uua)),Uu)))) # label(fact_ATP_Olambda__242) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 466 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_aj(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Uu),Uua)),Uua)) # label(fact_ATP_Olambda__243) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 467 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_bp(Uu),Uua) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1766911899d_repl,aa_TPTP_ind_TPTP_ind(Uu,Uua)),aa_TPT1424761345TP_ind(scratc172232294d_pair,Uua))) # label(fact_ATP_Olambda__244) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 468 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ud,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_ub,Uu)),aa_TPT43085870d_bool(aTP_Lamm_uc(Uu),Uua))))) # label(fact_ATP_Olambda__245) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 469 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tb,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uua))),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uu)),Uua))))) # label(fact_ATP_Olambda__246) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 470 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_te,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uua))),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uua)))))) # label(fact_ATP_Olambda__247) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 471 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rk,Uu),Uua)) <-> (pp(scratc1520215227_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Uu),Uua))))) # label(fact_ATP_Olambda__248) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 472 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rc,Uu),Uua)) <-> (pp(scratc1520215227_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__249) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 473 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ra,Uu),Uua)) <-> (pp(scratc1520215227_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__250) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 474 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fo,Uu),Uua)) <-> (pp(scratc1520215227_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216250545lesseq,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,Uu),Uua))))) # label(fact_ATP_Olambda__251) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 475 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fq,Uu),Uua)) <-> (pp(scratc1520215227_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359824_moreq,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__252) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 476 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fy,Uu),Uua)) <-> (pp(scratc1520215227_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216250545lesseq,Uu),Uua))))) # label(fact_ATP_Olambda__253) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 477 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fw,Uu),Uua)) <-> (pp(scratc1520215227_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359824_moreq,Uu),Uua))))) # label(fact_ATP_Olambda__254) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 478 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ri,Uu),Uua)) <-> (pp(scratc1520215227_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,Uu),Uua))))) # label(fact_ATP_Olambda__255) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 479 (all Uu all Uua aa_fun277296641TP_ind(aa_TPT494704832TP_ind(aTP_Lamm_bt,Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1991758068nunion(aa_TPTP_ind_TPTP_ind(scratc102049735d_Sing,scratc632460417ptyset)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1766911899d_repl,Uu),Uua))) # label(fact_ATP_Olambda__256) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 480 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_he,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uu),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc726044174d_n_fr,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(aa_TPTP_ind_TPTP_ind(scratc791485178nd_num,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(aa_TPTP_ind_TPTP_ind(scratc707820545nd_den,Uu)),Uua)))))) # label(fact_ATP_Olambda__257) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 481 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dj,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,Uu),aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uu),Uua))))) # label(fact_ATP_Olambda__258) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 482 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_su,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc790697996nd_nis,Uua),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uua))))) # label(fact_ATP_Olambda__259) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 483 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qe,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uu),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uua))))) # label(fact_ATP_Olambda__260) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 484 (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(scratc726240972d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uua))))) # label(fact_ATP_Olambda__261) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 485 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ub,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,Uua),aa_TPTP_ind_TPTP_ind(scratc660392921_power,Uu))))) # label(fact_ATP_Olambda__262) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 486 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ah,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Uua),Uu)))) # label(fact_ATP_Olambda__263) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 487 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ei,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,Uua),Uu)))) # label(fact_ATP_Olambda__264) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 488 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eg,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,Uua),Uu)))) # label(fact_ATP_Olambda__265) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 489 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tv,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240967d_n_in,Uua),Uu)))) # label(fact_ATP_Olambda__266) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 490 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc788598823nd_nIn,Uua),Uu)))) # label(fact_ATP_Olambda__267) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 491 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ar,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,Uua),Uu)))) # label(fact_ATP_Olambda__268) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 492 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_sy(Uu),Uua))))) # label(fact_ATP_Olambda__269) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 493 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ss,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_sr(Uu),Uua))))) # label(fact_ATP_Olambda__270) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 494 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_so(Uu),Uua))))) # label(fact_ATP_Olambda__271) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 495 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_qx(Uu),Uua))))) # label(fact_ATP_Olambda__272) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 496 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_qu(Uu),Uua))))) # label(fact_ATP_Olambda__273) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 497 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qs,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_qr(Uu),Uua))))) # label(fact_ATP_Olambda__274) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 498 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_qo(Uu),Uua))))) # label(fact_ATP_Olambda__275) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 499 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ql(Uu),Uua))))) # label(fact_ATP_Olambda__276) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 500 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_qi(Uu),Uua))))) # label(fact_ATP_Olambda__277) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 501 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qa,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_pz(Uu),Uua))))) # label(fact_ATP_Olambda__278) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 502 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_px,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_pw(Uu),Uua))))) # label(fact_ATP_Olambda__279) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 503 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_pt(Uu),Uua))))) # label(fact_ATP_Olambda__280) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 504 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_pq(Uu),Uua))))) # label(fact_ATP_Olambda__281) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 505 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_po,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_pn(Uu),Uua))))) # label(fact_ATP_Olambda__282) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 506 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_pk(Uu),Uua))))) # label(fact_ATP_Olambda__283) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 507 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pi,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ph(Uu),Uua))))) # label(fact_ATP_Olambda__284) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 508 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pe,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_pd(Uu),Uua))))) # label(fact_ATP_Olambda__285) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 509 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pa,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_oz(Uu),Uua))))) # label(fact_ATP_Olambda__286) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 510 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ow,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ov(Uu),Uua))))) # label(fact_ATP_Olambda__287) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 511 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_os,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_or(Uu),Uua))))) # label(fact_ATP_Olambda__288) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 512 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_op,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_oo(Uu),Uua))))) # label(fact_ATP_Olambda__289) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 513 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_om,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ol(Uu),Uua))))) # label(fact_ATP_Olambda__290) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 514 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_oi(Uu),Uua))))) # label(fact_ATP_Olambda__291) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 515 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_og,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_of(Uu),Uua))))) # label(fact_ATP_Olambda__292) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 516 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_od,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_oc(Uu),Uua))))) # label(fact_ATP_Olambda__293) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 517 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oa,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_nz(Uu),Uua))))) # label(fact_ATP_Olambda__294) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 518 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_nw(Uu),Uua))))) # label(fact_ATP_Olambda__295) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 519 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_nt(Uu),Uua))))) # label(fact_ATP_Olambda__296) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 520 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_nq(Uu),Uua))))) # label(fact_ATP_Olambda__297) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 521 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_no,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_nn(Uu),Uua))))) # label(fact_ATP_Olambda__298) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 522 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_nj(Uu),Uua))))) # label(fact_ATP_Olambda__299) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 523 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ng,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_nf(Uu),Uua))))) # label(fact_ATP_Olambda__300) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 524 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_nb(Uu),Uua))))) # label(fact_ATP_Olambda__301) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 525 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_my,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_mx(Uu),Uua))))) # label(fact_ATP_Olambda__302) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 526 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_mt(Uu),Uua))))) # label(fact_ATP_Olambda__303) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 527 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_mp(Uu),Uua))))) # label(fact_ATP_Olambda__304) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 528 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ml(Uu),Uua))))) # label(fact_ATP_Olambda__305) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 529 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ky(Uu),Uua))))) # label(fact_ATP_Olambda__306) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 530 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_kv(Uu),Uua))))) # label(fact_ATP_Olambda__307) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 531 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ks(Uu),Uua))))) # label(fact_ATP_Olambda__308) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 532 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_kp(Uu),Uua))))) # label(fact_ATP_Olambda__309) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 533 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_km(Uu),Uua))))) # label(fact_ATP_Olambda__310) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 534 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_kj(Uu),Uua))))) # label(fact_ATP_Olambda__311) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 535 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_kg(Uu),Uua))))) # label(fact_ATP_Olambda__312) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 536 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ke,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_kd(Uu),Uua))))) # label(fact_ATP_Olambda__313) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 537 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ka(Uu),Uua))))) # label(fact_ATP_Olambda__314) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 538 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_jw(Uu),Uua))))) # label(fact_ATP_Olambda__315) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 539 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_js(Uu),Uua))))) # label(fact_ATP_Olambda__316) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 540 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_jo(Uu),Uua))))) # label(fact_ATP_Olambda__317) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 541 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_jk(Uu),Uua))))) # label(fact_ATP_Olambda__318) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 542 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ji,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_jh(Uu),Uua))))) # label(fact_ATP_Olambda__319) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 543 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_je(Uu),Uua))))) # label(fact_ATP_Olambda__320) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 544 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_jb(Uu),Uua))))) # label(fact_ATP_Olambda__321) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 545 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_iy(Uu),Uua))))) # label(fact_ATP_Olambda__322) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 546 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_iv(Uu),Uua))))) # label(fact_ATP_Olambda__323) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 547 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_it,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_is(Uu),Uua))))) # label(fact_ATP_Olambda__324) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 548 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ip(Uu),Uua))))) # label(fact_ATP_Olambda__325) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 549 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_im,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_il(Uu),Uua))))) # label(fact_ATP_Olambda__326) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 550 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ii,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_ih(Uu),Uua))))) # label(fact_ATP_Olambda__327) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 551 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ie,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_id(Uu),Uua))))) # label(fact_ATP_Olambda__328) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 552 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ia,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_hz(Uu),Uua))))) # label(fact_ATP_Olambda__329) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 553 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_hv(Uu),Uua))))) # label(fact_ATP_Olambda__330) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 554 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hs,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_hr(Uu),Uua))))) # label(fact_ATP_Olambda__331) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 555 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ho,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_hn(Uu),Uua))))) # label(fact_ATP_Olambda__332) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 556 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ha,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_gz(Uu),Uua))))) # label(fact_ATP_Olambda__333) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 557 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_gw(Uu),Uua))))) # label(fact_ATP_Olambda__334) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 558 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_dw(Uu),Uua))))) # label(fact_ATP_Olambda__335) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 559 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_du,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aTP_Lamm_dt(Uu),Uua))))) # label(fact_ATP_Olambda__336) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 560 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hg(Uu),Uua))))) # label(fact_ATP_Olambda__337) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 561 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gj(Uu),Uua))))) # label(fact_ATP_Olambda__338) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 562 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gf(Uu),Uua))))) # label(fact_ATP_Olambda__339) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 563 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fl(Uu),Uua))))) # label(fact_ATP_Olambda__340) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 564 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fi,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fh(Uu),Uua))))) # label(fact_ATP_Olambda__341) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 565 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fa,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ez(Uu),Uua))))) # label(fact_ATP_Olambda__342) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 566 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ex,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ew(Uu),Uua))))) # label(fact_ATP_Olambda__343) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 567 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_et(Uu),Uua))))) # label(fact_ATP_Olambda__344) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 568 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_er,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_eq(Uu),Uua))))) # label(fact_ATP_Olambda__345) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 569 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eo,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_en(Uu),Uua))))) # label(fact_ATP_Olambda__346) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 570 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_el,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ek(Uu),Uua))))) # label(fact_ATP_Olambda__347) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 571 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ea(Uu),Uua))))) # label(fact_ATP_Olambda__348) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 572 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_do,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dn(Uu),Uua))))) # label(fact_ATP_Olambda__349) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 573 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dg(Uu),Uua))))) # label(fact_ATP_Olambda__350) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 574 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_de,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dd(Uu),Uua))))) # label(fact_ATP_Olambda__351) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 575 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_db,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_da(Uu),Uua))))) # label(fact_ATP_Olambda__352) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 576 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cx(Uu),Uua))))) # label(fact_ATP_Olambda__353) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 577 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cu(Uu),Uua))))) # label(fact_ATP_Olambda__354) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 578 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cs,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cr(Uu),Uua))))) # label(fact_ATP_Olambda__355) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 579 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_co(Uu),Uua))))) # label(fact_ATP_Olambda__356) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 580 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ck(Uu),Uua))))) # label(fact_ATP_Olambda__357) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 581 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ch,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cg(Uu),Uua))))) # label(fact_ATP_Olambda__358) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 582 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cc(Uu),Uua))))) # label(fact_ATP_Olambda__359) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 583 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by(Uu),Uua))))) # label(fact_ATP_Olambda__360) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 584 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(Uu),Uua))))) # label(fact_ATP_Olambda__361) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 585 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sm,Uu),Uua)) <-> pp(scratc1267605358_amone(scratc790173205nd_nat,aa_TPT43085870d_bool(aTP_Lamm_si(Uu),Uua))))) # label(fact_ATP_Olambda__362) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 586 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_am(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Uu),Uua))) # label(fact_ATP_Olambda__363) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 587 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_bm(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1167654787_union,aa_TPTP_ind_TPTP_ind(Uu,Uua))) # label(fact_ATP_Olambda__364) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 588 (all Uu all Uua (gg_TPTP_ind(Uua) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bo,Uu),Uua)) <-> (exists X3 (gg_TPTP_ind(X3) & Uua = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc172232294d_pair,Uu),X3)))))) # label(fact_ATP_Olambda__365) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 589 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ul(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1207580611d_e_is(aa_TPTP_ind_TPTP_ind(scratc1941726541etprod(Uu),Uua)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1197822002d_pair(Uu,Uua),aa_TPTP_ind_TPTP_ind(scratc1720706884_first(Uu,Uua),Uub)),aa_TPTP_ind_TPTP_ind(scratc2035868576second(Uu,Uua),Uub))),Uub)))) # label(fact_ATP_Olambda__366) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 590 (all Uu all Uua all Uub aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aTP_Lamm_bw(Uu),Uua),Uub) = aa_TPTP_ind_TPTP_ind(scratc731738345bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,scratc632460417ptyset),Uub),Uu),Uua)) # label(fact_ATP_Olambda__367) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 591 (all Uu all Uua all Uub aa_TPTP_ind_TPTP_ind(aa_fun1235454963TP_ind(aTP_Lamm_bv(Uu),Uua),Uub) = aa_TPTP_ind_TPTP_ind(scratc731738345bnd_if(aa_TPTP_ind_bool(Uua,Uub),Uub),scratc716803644nd_eps(aa_fun1584354236d_bool(aTP_Lamm_bj(Uu),Uua)))) # label(fact_ATP_Olambda__368) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 592 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bc(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc325136367d_esti(Uu),Uub),Uua)))) # label(fact_ATP_Olambda__369) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 593 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_ue(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc325136367d_esti(Uu),Uub),aa_fun1431113780TP_ind(scratc1296498598_d_Sep(Uu),Uua))) -> pp(aa_TPTP_ind_bool(Uua,Uub))))) # label(fact_ATP_Olambda__370) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 594 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uc(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1257578810d_incl(Uu),Uua),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1257578810d_incl(Uu),Uub),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1207580611d_e_is(aa_TPTP_ind_TPTP_ind(scratc660392921_power,Uu)),Uua),Uub)))))) # label(fact_ATP_Olambda__371) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 595 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_um(Uu),Uua),Uub)) <-> scratc277810797_is_of(aa_TPTP_ind_TPTP_ind(scratc2035868576second(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_ar,Uua)))) # label(fact_ATP_Olambda__372) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 596 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_un(Uu),Uua),Uub)) <-> scratc277810797_is_of(aa_TPTP_ind_TPTP_ind(scratc1720706884_first(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)))) # label(fact_ATP_Olambda__373) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 597 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_ut(Uu),Uua),Uub)) <-> scratc277810797_is_of(aa_TPTP_ind_TPTP_ind(scratc1207580606d_e_in(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)))) # label(fact_ATP_Olambda__374) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 598 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ux(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_uu(Uu),Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_uw(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__375) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 599 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dw(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc726044174d_n_fr,Uu),Uub)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc726044174d_n_fr,Uua),Uub))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc726044174d_n_fr,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uua)),Uub))))) # label(fact_ATP_Olambda__376) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 600 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gw(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc726044174d_n_fr,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uua),Uub))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc726044174d_n_fr,Uu),Uua))))) # label(fact_ATP_Olambda__377) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 601 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iy(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__378) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 602 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_of(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__379) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 603 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nw(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__380) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 604 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,Uu),Uua))))) # label(fact_ATP_Olambda__381) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 605 (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(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__382) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 606 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_so(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uua),Uub))))) # label(fact_ATP_Olambda__383) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 607 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oc(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__384) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 608 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nt(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__385) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 609 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uu),Uua))))) # label(fact_ATP_Olambda__386) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 610 (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(scratc749390461nd_iii,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__387) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 611 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nz(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__388) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 612 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__389) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 613 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dt(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc726044174d_n_fr,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc726044174d_n_fr,Uu),Uub)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc726044174d_n_fr,Uua),Uub)))))) # label(fact_ATP_Olambda__390) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 614 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kv(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__391) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 615 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sy(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__392) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 616 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dn(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uu),aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__393) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 617 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ky(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uua),Uub))),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uub)))))) # label(fact_ATP_Olambda__394) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 618 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_al(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(scratc160319799rdsucc,Uub))),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Uua),Uub)),Uu))))) # label(fact_ATP_Olambda__395) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 619 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gz(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc726044174d_n_fr,Uu),Uua)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc726044174d_n_fr,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__396) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 620 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ks(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__397) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 621 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kj(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__398) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 622 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pz(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__399) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 623 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__400) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 624 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ql(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uu),Uub)))))) # label(fact_ATP_Olambda__401) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 625 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jk(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__402) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 626 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jh(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__403) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 627 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_or(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__404) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 628 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oo(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__405) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 629 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qo(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uu),Uub)))))) # label(fact_ATP_Olambda__406) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 630 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_je(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__407) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 631 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jb(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__408) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 632 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ol(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__409) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 633 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oi(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__410) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 634 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qi(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Uu),Uub)))))) # label(fact_ATP_Olambda__411) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 635 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qu(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__412) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 636 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ek(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216250545lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216250545lesseq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216250545lesseq,Uu),Uub)))))) # label(fact_ATP_Olambda__413) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 637 (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(scratc1216250545lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__414) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 638 (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(scratc1495359824_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,Uu),Uub)))))) # label(fact_ATP_Olambda__415) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 639 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dg(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__416) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 640 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cx(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uub),Uua)))))) # label(fact_ATP_Olambda__417) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 641 (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(scratc1495359813_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359824_moreq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,Uu),Uub)))))) # label(fact_ATP_Olambda__418) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 642 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_da(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__419) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 643 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cr(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uub),Uua)))))) # label(fact_ATP_Olambda__420) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 644 (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(scratc1149038017_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216250545lesseq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__421) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 645 (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(scratc1149038017_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__422) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 646 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kp(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__423) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 647 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kg(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__424) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 648 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pw(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__425) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 649 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pn(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__426) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 650 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dd(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__427) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 651 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cu(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uub),Uua)))))) # label(fact_ATP_Olambda__428) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 652 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hg(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uu),Uub)))))) # label(fact_ATP_Olambda__429) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 653 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sr(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc790697996nd_nis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc790697996nd_nis,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uub)))))) # label(fact_ATP_Olambda__430) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 654 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_km(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__431) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 655 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kd(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__432) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.60 656 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pt(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__433) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 657 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pk(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__434) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 658 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qr(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__435) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 659 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qx(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__436) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 660 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ed(Uu),Uua),Uub)) <-> pp(scratc1412750047_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,Uu),Uub),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,Uub),Uua))))) # label(fact_ATP_Olambda__437) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 661 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_bj(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,Uub),Uu)) & pp(aa_TPTP_ind_bool(Uua,Uub)))) # label(fact_ATP_Olambda__438) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 662 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_uq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1678064815_image(aa_fun1431113780TP_ind(scratc1296498598_d_Sep(Uu),Uua),Uu),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc596598605_Sigma,aa_fun1431113780TP_ind(scratc1296498598_d_Sep(Uu),Uua)),scratc1207580606d_e_in(Uu,Uua))),Uub))))) # label(fact_ATP_Olambda__439) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 663 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_uf(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc325136367d_esti(Uu),Uub),aa_fun1431113780TP_ind(scratc1296498598_d_Sep(Uu),Uua)))))) # label(fact_ATP_Olambda__440) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 664 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_uz(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)),aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_uy(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__441) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 665 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_bl(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)),aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_bk(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__442) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 666 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_up(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_uo(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__443) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 667 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uj(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ui(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__444) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 668 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uh(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ug(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__445) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 669 (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(scratc731738353bnd_in,Uub),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc66376337d_d_Pi,Uu),aTP_Lamm_ag(Uua)))))) # label(fact_ATP_Olambda__446) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 670 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_si(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uua),Uub))))) # label(fact_ATP_Olambda__447) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 671 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sj(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uua),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uub))))) # label(fact_ATP_Olambda__448) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 672 (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(scratc731738353bnd_in,Uub),aa_TPTP_ind_TPTP_ind(scratc1941726541etprod(Uu),Uua))))) # label(fact_ATP_Olambda__449) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 673 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_ur(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,Uub),aa_fun1431113780TP_ind(scratc1296498598_d_Sep(Uu),Uua))))) # label(fact_ATP_Olambda__450) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 674 (all Uu all Uua all Uub aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aTP_Lamm_be(Uu),Uua),Uub) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Uu),Uub))) # label(fact_ATP_Olambda__451) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 675 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ph(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pg(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__452) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 676 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pd(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pc(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__453) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 677 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oz(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_oy(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__454) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 678 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ov(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ou(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__455) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 679 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nn(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_nm(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__456) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 680 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nj(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ni(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__457) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 681 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nf(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ne(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__458) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 682 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nb(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_na(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__459) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 683 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mx(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mw(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__460) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 684 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mt(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ms(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__461) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 685 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mp(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mo(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__462) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 686 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ml(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mk(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__463) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 687 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ka(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jz(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__464) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 688 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jw(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jv(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__465) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 689 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_js(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jr(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__466) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 690 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jo(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jn(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__467) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 691 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ip(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_io(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__468) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 692 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_il(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ik(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__469) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 693 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ih(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ig(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__470) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 694 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_id(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ic(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__471) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 695 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hz(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hy(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__472) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 696 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hv(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hu(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__473) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 697 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hr(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hq(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__474) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 698 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hn(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_ds),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hm(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__475) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 699 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gj(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gi(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__476) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 700 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gf(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ge(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__477) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 701 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fl(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fk(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__478) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 702 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fh(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fg(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__479) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 703 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ea(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dz(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__480) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 704 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_co(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cn(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__481) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 705 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ck(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cj(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__482) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 706 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cg(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cf(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__483) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 707 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cb(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__484) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 708 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_us(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(Uua,aa_TPTP_ind_TPTP_ind(scratc1207580606d_e_in(Uu,Uua),Uub))))) # label(fact_ATP_Olambda__485) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 709 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1913827119d_bool(aTP_Lamm_bn(Uu),Uua),Uub)) <-> (all X3 (gg_TPTP_ind(X3) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,X3),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc731738353bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Uub),X3)),aa_TPTP_ind_TPTP_ind(Uua,X3)))))))) # label(fact_ATP_Olambda__486) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 710 (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(scratc750112046nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1207580611d_e_is(aa_TPTP_ind_TPTP_ind(scratc1016591412_d_1to,scratc741362480nd_n_2)),Uuc),scratc722567429d_n_1t),Uu,Uua),Uub)) # label(fact_ATP_Olambda__487) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 711 (all Uu all Uua all Uub all Uuc aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_bf(Uu),Uua),Uub),Uuc) = aa_TPTP_ind_TPTP_ind(scratc731738345bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1678064815_image(Uu,Uua),Uub),Uuc),aa_TPTP_ind_TPTP_ind(scratc481974518d_soft(Uu,Uua,Uub),Uuc)),scratc632460417ptyset)) # label(fact_ATP_Olambda__488) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 712 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ui(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1207580611d_e_is(Uu),aa_TPTP_ind_TPTP_ind(scratc1720706884_first(Uu,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1197822002d_pair(Uu,Uua),Uub),Uuc))),Uub)))) # label(fact_ATP_Olambda__489) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 713 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ug(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1207580611d_e_is(Uua),aa_TPTP_ind_TPTP_ind(scratc2035868576second(Uu,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1197822002d_pair(Uu,Uua),Uub),Uuc))),Uuc)))) # label(fact_ATP_Olambda__490) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 714 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_uv(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1207580611d_e_is(Uu),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Uua),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Uub),Uuc))))) # label(fact_ATP_Olambda__491) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 715 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ay(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc325136367d_esti(Uu),Uub),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Uua),Uuc))))) # label(fact_ATP_Olambda__492) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 716 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bg(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1207580611d_e_is(Uu),Uub),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Uua),Uuc))))) # label(fact_ATP_Olambda__493) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 717 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_uo(Uu),Uua),Uub),Uuc)) <-> scratc277810797_is_of(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1197822002d_pair(Uu,Uua),Uub),Uuc),aa_TPT43085870d_bool(aTP_Lamm_uk(Uu),Uua)))) # label(fact_ATP_Olambda__494) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 718 (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(scratc594333630d_l_ec(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc325136367d_esti(Uu),Uuc),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc325136367d_esti(Uu),Uuc),Uub))))) # label(fact_ATP_Olambda__495) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 719 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bb(Uu),Uua),Uub),Uuc)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc749652864nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc325136367d_esti(Uu),Uuc),Uua)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc325136367d_esti(Uu),Uuc),Uub))))) # label(fact_ATP_Olambda__496) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 720 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_uw(Uu),Uua),Uub),Uuc)) <-> (pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_uv(Uua),Uub),Uuc))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1207580611d_e_is(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc66376337d_d_Pi,Uu),aTP_Lamm_ag(Uua))),Uub),Uuc))))) # label(fact_ATP_Olambda__497) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 721 (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_bx(Uu),Uua),Uub),Uuc)) <-> pp(Uu) & Uuc = Uua | -pp(Uu) & Uuc = Uub))) # label(fact_ATP_Olambda__498) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 722 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_io(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__499) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 723 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_nm(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__500) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 724 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ic(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__501) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 725 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_na(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__502) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 726 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ig(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__503) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 727 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ne(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__504) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 728 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hq(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__505) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 729 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mo(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1350496555moreis,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__506) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 730 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hm(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__507) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 731 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mk(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__508) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 732 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hy(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__509) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 733 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mw(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__510) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 734 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fg(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216250545lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216250545lesseq,Uub),Uuc))))))) # label(fact_ATP_Olambda__511) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 735 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fk(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359824_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359824_moreq,Uub),Uuc))))))) # label(fact_ATP_Olambda__512) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 736 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gi(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,Uub),Uuc))))))) # label(fact_ATP_Olambda__513) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 737 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ge(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,Uub),Uuc))))))) # label(fact_ATP_Olambda__514) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 738 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jz(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__515) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 739 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jv(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uuc),Uua))))))) # label(fact_ATP_Olambda__516) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 740 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pg(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__517) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 741 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pc(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc209174015_29_ii,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uuc),Uua))))))) # label(fact_ATP_Olambda__518) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 742 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jr(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__519) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 743 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jn(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uuc),Uua))))))) # label(fact_ATP_Olambda__520) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 744 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_oy(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__521) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 745 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ou(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc726240972d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uuc),Uua))))))) # label(fact_ATP_Olambda__522) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 746 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cn(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__523) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 747 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cj(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1495359813_moref,aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uuc),Uua))))))) # label(fact_ATP_Olambda__524) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 748 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cf(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__525) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 749 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cb(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1149038017_lessf,aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uuc),Uua))))))) # label(fact_ATP_Olambda__526) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 750 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dz(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc725978574d_n_eq,aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700152d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__527) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 751 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hu(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__528) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 752 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ms(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1216512943lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__529) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 753 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ik(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726962561d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__530) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 754 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ni(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc749390461nd_iii,aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc726700158d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__531) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 755 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_uy(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1207580611d_e_is(Uu),Uub),Uuc)) -> pp(aa_TPTP_ind_bool(Uua,Uuc)))))) # label(fact_ATP_Olambda__532) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 756 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_bk(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(scratc1207580611d_e_is(Uu),Uub),Uuc)))))) # label(fact_ATP_Olambda__533) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 757 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bi(Uu),Uua),Uub),Uuc)) <-> pp(aa_fun171081125l_bool(scratc683495221nd_all(Uu),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_bh(Uu),Uua),Uub),Uuc))))) # label(fact_ATP_Olambda__534) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 758 (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_fun171081125l_bool(scratc188354676l_some(Uua),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ay(Uu),Uub),Uuc))))) # label(fact_ATP_Olambda__535) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 759 (all Uu all Uua all Uub all Uuc aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ad(Uu),Uua),Uub),Uuc) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Uub),aa_TPTP_ind_TPTP_ind(scratc355857052ght1to(Uu,Uua),Uuc))) # label(fact_ATP_Olambda__536) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 760 (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(scratc731213563bnd_ap,Uub),aa_TPTP_ind_TPTP_ind(scratc2076246585eft1to(Uu,Uua),Uuc))) # label(fact_ATP_Olambda__537) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 761 (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_bh(Uu),Uua),Uub),Uuc),Uud)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc749652864nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1207580611d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Uub),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Uub),Uud))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1207580611d_e_is(Uu),Uuc),Uud))))) # label(fact_ATP_Olambda__538) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 762 (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_aw(Uu),Uua),Uub),Uuc),Uud)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(Uu,Uuc),Uud)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1207580611d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Uub),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Uub),Uud)))))) # label(fact_ATP_Olambda__539) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 763 (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_av(Uu),Uua),Uub),Uuc),Uud)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_fun845057962d_bool(aTP_Lamm_au(Uu),Uua),Uub),Uuc),Uud))))) # label(fact_ATP_Olambda__540) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 764 (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_ax(Uu),Uua),Uub),Uuc),Uud)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_aw(Uua),Uub),Uuc),Uud))))) # label(fact_ATP_Olambda__541) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 765 (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_bd(Uu),Uua),Uub),Uuc),Uud) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1276652645wissel(Uu,Uub),Uuc)),Uud))) # label(fact_ATP_Olambda__542) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 766 (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_au(Uu),Uua),Uub),Uuc),Uud),Uue)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_TPT985247859d_bool(aa_fun1107270209d_bool(aTP_Lamm_at(Uu),Uua),Uub),Uuc),Uud),Uue))))) # label(fact_ATP_Olambda__543) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 767 (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_as(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(scratc1207580611d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Uub),Uuc)),Uue)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc731213563bnd_ap,Uub),Uud)),Uuf))))))) # label(fact_ATP_Olambda__544) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 768 (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_at(Uu),Uua),Uub),Uuc),Uud),Uue),Uuf)) <-> pp(aa_fun171081125l_bool(scratc1077693868all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_TPT985247859d_bool(aa_TPT125613450d_bool(aTP_Lamm_as(Uua),Uub),Uuc),Uud),Uue),Uuf))))) # label(fact_ATP_Olambda__545) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 769 (all Uu all Uua (gg_TPTP_ind(Uu) -> aa_TPTP_ind_TPTP_ind(aTP_Lamm_ag(Uu),Uua) = Uu)) # label(fact_ATP_Olambda__546) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 770 (all Uu (gg_TPTP_ind(Uu) -> aa_TPTP_ind_TPTP_ind(aTP_Lamm_ak,Uu) = Uu)) # label(fact_ATP_Olambda__547) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 771 (all Uu aa_TPTP_ind_TPTP_ind(aTP_Lamm_ai,Uu) = scratc790173205nd_nat) # label(fact_ATP_Olambda__548) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 772 (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].
% 1.20/1.61 773 (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].
% 1.20/1.61 774 (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].
% 1.20/1.61 775 (all P (gg_bool(P) -> P = fTrue | P = fFalse)) # label(help_fFalse_1_1_T) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.61 776 (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].
% 1.20/1.61 777 (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].
% 1.20/1.61 778 (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].
% 1.20/1.61 779 (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].
% 1.45/1.70 780 (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].
% 1.45/1.70 781 (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].
% 1.45/1.70 782 (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].
% 1.45/1.70 783 (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].
% 1.45/1.70 784 (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].
% 1.45/1.70
% 1.45/1.70 ============================== end of process non-clausal formulas ===
% 1.45/1.70
% 1.45/1.70 ============================== PROCESS INITIAL CLAUSES ===============
% 1.45/1.70
% 1.45/1.70 ============================== PREDICATE ELIMINATION =================
% 1.45/1.70 785 -gg_bool(A) | A = fTrue | A = fFalse # label(help_fFalse_1_1_T) # label(axiom). [clausify(775)].
% 1.45/1.70 786 gg_bool(undefined_bool(bool)) # label(gsy_c_HOL_Oundefined_001t__HOL__Obool) # label(axiom). [assumption].
% 1.45/1.70 787 gg_bool(scratc1267605358_amone(A,B)) # label(gsy_c_Scratch__tptp__translate__59164__5772_ONUM756__thf__4__p_Obnd__amone) # label(axiom). [clausify(1)].
% 1.45/1.70 788 gg_bool(scratc1412750047_d_and(A,B)) # label(gsy_c_Scratch__tptp__translate__59164__5772_ONUM756__thf__4__p_Obnd__d__and) # label(axiom). [clausify(2)].
% 1.45/1.70 789 gg_bool(scratc1520215227_d_not(A)) # label(gsy_c_Scratch__tptp__translate__59164__5772_ONUM756__thf__4__p_Obnd__d__not) # label(axiom). [clausify(3)].
% 1.45/1.70 790 gg_bool(scratc715950793nd_ec3(A,B,C)) # label(gsy_c_Scratch__tptp__translate__59164__5772_ONUM756__thf__4__p_Obnd__ec3) # label(axiom). [clausify(4)].
% 1.45/1.70 791 gg_bool(scratc594333630d_l_ec(A,B)) # label(gsy_c_Scratch__tptp__translate__59164__5772_ONUM756__thf__4__p_Obnd__l__ec) # label(axiom). [clausify(8)].
% 1.45/1.70 792 gg_bool(scratc799549828nd_or3(A,B,C)) # label(gsy_c_Scratch__tptp__translate__59164__5772_ONUM756__thf__4__p_Obnd__or3) # label(axiom). [clausify(9)].
% 1.45/1.70 793 gg_bool(aa_bool_bool(A,B)) # label(gsy_c_aa_001t__HOL__Obool_001t__HOL__Obool) # label(axiom). [clausify(10)].
% 1.45/1.70 794 gg_bool(aa_TPTP_ind_bool(A,B)) # label(gsy_c_aa_001t__TPTP____Interpret__Oind_001t__HOL__Obool) # label(axiom). [clausify(11)].
% 1.45/1.70 795 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)].
% 1.45/1.70 796 gg_bool(fEx_TPTP_ind(A)) # label(gsy_c_fEx_001t__TPTP____Interpret__Oind) # label(axiom). [clausify(16)].
% 1.45/1.70 797 gg_bool(fFalse) # label(gsy_c_fFalse) # label(axiom). [assumption].
% 1.45/1.70 798 gg_bool(fTrue) # label(gsy_c_fTrue) # label(axiom). [assumption].
% 1.45/1.70 Derived: undefined_bool(bool) = fTrue | undefined_bool(bool) = fFalse. [resolve(785,a,786,a)].
% 1.45/1.70 Derived: scratc1267605358_amone(A,B) = fTrue | scratc1267605358_amone(A,B) = fFalse. [resolve(785,a,787,a)].
% 1.45/1.70 Derived: scratc1412750047_d_and(A,B) = fTrue | scratc1412750047_d_and(A,B) = fFalse. [resolve(785,a,788,a)].
% 1.45/1.70 Derived: scratc1520215227_d_not(A) = fTrue | scratc1520215227_d_not(A) = fFalse. [resolve(785,a,789,a)].
% 1.45/1.70 Derived: scratc715950793nd_ec3(A,B,C) = fTrue | scratc715950793nd_ec3(A,B,C) = fFalse. [resolve(785,a,790,a)].
% 1.45/1.70 Derived: scratc594333630d_l_ec(A,B) = fTrue | scratc594333630d_l_ec(A,B) = fFalse. [resolve(785,a,791,a)].
% 1.45/1.70 Derived: scratc799549828nd_or3(A,B,C) = fTrue | scratc799549828nd_or3(A,B,C) = fFalse. [resolve(785,a,792,a)].
% 3.17/3.43 Derived: aa_bool_bool(A,B) = fTrue | aa_bool_bool(A,B) = fFalse. [resolve(785,a,793,a)].
% 3.17/3.43 Derived: aa_TPTP_ind_bool(A,B) = fTrue | aa_TPTP_ind_bool(A,B) = fFalse. [resolve(785,a,794,a)].
% 3.17/3.43 Derived: aa_fun171081125l_bool(A,B) = fTrue | aa_fun171081125l_bool(A,B) = fFalse. [resolve(785,a,795,a)].
% 3.17/3.43 Derived: fEx_TPTP_ind(A) = fTrue | fEx_TPTP_ind(A) = fFalse. [resolve(785,a,796,a)].
% 3.17/3.43 Derived: fFalse = fTrue | fFalse = fFalse. [resolve(785,a,797,a)].
% 3.17/3.43 Derived: fTrue = fTrue | fTrue = fFalse. [resolve(785,a,798,a)].
% 3.17/3.43 799 scratc989268420d_r_ec(A,B) | pp(A) # label(fact_def__r__ec) # label(axiom). [clausify(94)].
% 3.17/3.43 800 -scratc989268420d_r_ec(A,B) | -pp(A) | pp(scratc1520215227_d_not(B)) # label(fact_def__r__ec) # label(axiom). [clausify(94)].
% 3.17/3.43 801 scratc989268420d_r_ec(A,B) | -pp(scratc1520215227_d_not(B)) # label(fact_def__r__ec) # label(axiom). [clausify(94)].
% 3.17/3.43 802 scratc159407849_l_iff(A,B) | -pp(scratc1412750047_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc749652864nd_imp,A),B),aa_bool_bool(aa_boo1142376798l_bool(scratc749652864nd_imp,B),A))) # label(fact_def__l__iff) # label(axiom). [clausify(126)].
% 3.17/3.43 803 -scratc159407849_l_iff(A,B) | pp(scratc1412750047_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc749652864nd_imp,A),B),aa_bool_bool(aa_boo1142376798l_bool(scratc749652864nd_imp,B),A))) # label(fact_def__l__iff) # label(axiom). [clausify(126)].
% 3.17/3.43 804 scratc1679311917d_orec(A,B) | -pp(scratc1412750047_d_and(aa_bool_bool(scratc594989635d_l_or(A),B),scratc594333630d_l_ec(A,B))) # label(fact_def__orec) # label(axiom). [clausify(127)].
% 3.17/3.43 805 -scratc1679311917d_orec(A,B) | pp(scratc1412750047_d_and(aa_bool_bool(scratc594989635d_l_or(A),B),scratc594333630d_l_ec(A,B))) # label(fact_def__orec) # label(axiom). [clausify(127)].
% 3.17/3.43 806 scratc864789138nd_wel(A) | -pp(scratc1520215227_d_not(scratc1520215227_d_not(A))) # label(fact_def__wel) # label(axiom). [clausify(132)].
% 3.17/3.43 807 -scratc864789138nd_wel(A) | pp(scratc1520215227_d_not(scratc1520215227_d_not(A))) # label(fact_def__wel) # label(axiom). [clausify(132)].
% 3.17/3.43 808 -scratc864789138nd_wel(A) | pp(A) # label(fact_l__et) # label(axiom). [clausify(184)].
% 3.17/3.43 Derived: pp(A) | -pp(scratc1520215227_d_not(scratc1520215227_d_not(A))). [resolve(808,a,806,a)].
% 3.17/3.43
% 3.17/3.43 ============================== end predicate elimination =============
% 3.17/3.43
% 3.17/3.43 Auto_denials: (non-Horn, no changes).
% 3.17/3.43
% 3.17/3.43 Term ordering decisions:
% 3.17/3.43 Function symbol KB weights: aTP_Lamm_ds=1. aTP_Lamm_a=1. scratc726240972d_n_is=1. scratc749390461nd_iii=1. scratc209174015_29_ii=1. scratc731738353bnd_in=1. scratc160319799rdsucc=1. scratc725978574d_n_eq=1. scratc1216512943lessis=1. scratc731213563bnd_ap=1. scratc1149038017_lessf=1. scratc1350496555moreis=1. scratc1495359813_moref=1. scratc741362479nd_n_1=1. aTP_Lamm_ar=1. scratc790173205nd_nat=1. scratc596598605_Sigma=1. scratc632460417ptyset=1. scratc1216250545lesseq=1. scratc66376337d_d_Pi=1. scratc726044174d_n_fr=1. scratc790697996nd_nis=1. scratc932179318n_some=1. scratc1495359824_moreq=1. fFalse=1. scratc164455003_nat_p=1. scratc660392921_power=1. scratc707820545nd_den=1. scratc749652864nd_imp=1. scratc791485178nd_num=1. scratc1766911899d_repl=1. fTrue=1. scratc837723871_n_all=1. scratc172232294d_pair=1. aTP_Lamm_ai=1. scratc1096215674d_frac=1. scratc200400617d_Subq=1. scratc1167654787_union=1. scratc429196819closed=1. scratc741362480nd_n_2=1. scratc788906759_proj0=1. aTP_Lamm_ao=1. scratc726240967d_n_in=1. scratc788906760_proj1=1. aTP_Lamm_an=1. aTP_Lamm_ub=1. scratc1011137913closed=1. scratc1016591412_d_1to=1. scratc846404899closed=1. aTP_Lamm_ah=1. aTP_Lamm_ee=1. aTP_Lamm_fc=1. aTP_Lamm_fe=1. aTP_Lamm_fo=1. aTP_Lamm_fq=1. aTP_Lamm_fs=1. aTP_Lamm_fu=1. aTP_Lamm_fw=1. aTP_Lamm_fy=1. aTP_Lamm_ga=1. aTP_Lamm_gc=1. aTP_Lamm_gm=1. aTP_Lamm_go=1. aTP_Lamm_hj=1. aTP_Lamm_lr=1. aTP_Lamm_lt=1. aTP_Lamm_lv=1. aTP_Lamm_lx=1. aTP_Lamm_lz=1. aTP_Lamm_mb=1. aTP_Lamm_md=1. aTP_Lamm_mf=1. aTP_Lamm_ra=1. aTP_Lamm_rc=1. aTP_Lamm_re=1. aTP_Lamm_rg=1. aTP_Lamm_ri=1. aTP_Lamm_rk=1. aTP_Lamm_rm=1. aTP_Lamm_ro=1. aTP_Lamm_rq=1. aTP_Lamm_rs=1. aTP_Lamm_ru=1. aTP_Lamm_rw=1. aTP_Lamm_ts=1. aTP_Lamm_tw=1. aTP_Lamm_tx=1. scratc1663319285_prop2=1. scratc2048903024closed=1. scratc2106045621_omega=1. scratc305214381_prop2=1. scratc927157412d_Inj1=1. aTP_Lamm_ab=1. aTP_Lamm_ap=1. aTP_Lamm_bo=1. aTP_Lamm_bq=1. aTP_Lamm_br=1. aTP_Lamm_bz=1. aTP_Lamm_cd=1. aTP_Lamm_ch=1. aTP_Lamm_cl=1. aTP_Lamm_cp=1. aTP_Lamm_cs=1. aTP_Lamm_cv=1. aTP_Lamm_cy=1. aTP_Lamm_db=1. aTP_Lamm_de=1. aTP_Lamm_dh=1. aTP_Lamm_dj=1. aTP_Lamm_dl=1. aTP_Lamm_do=1. aTP_Lamm_dq=1. aTP_Lamm_du=1. aTP_Lamm_dx=1. aTP_Lamm_eb=1. aTP_Lamm_eg=1. aTP_Lamm_ei=1. aTP_Lamm_el=1. aTP_Lamm_eo=1. aTP_Lamm_er=1. aTP_Lamm_eu=1. aTP_Lamm_ex=1. aTP_Lamm_fa=1. aTP_Lamm_fi=1. aTP_Lamm_fm=1. aTP_Lamm_gg=1. aTP_Lamm_gk=1. aTP_Lamm_gq=1. aTP_Lamm_gs=1. aTP_Lamm_gu=1. aTP_Lamm_gx=1. aTP_Lamm_ha=1. aTP_Lamm_hc=1. aTP_Lamm_he=1. aTP_Lamm_hh=1. aTP_Lamm_ho=1. aTP_Lamm_hs=1. aTP_Lamm_hw=1. aTP_Lamm_ia=1. aTP_Lamm_ie=1. aTP_Lamm_ii=1. aTP_Lamm_im=1. aTP_Lamm_iq=1. aTP_Lamm_it=1. aTP_Lamm_iw=1. aTP_Lamm_iz=1. aTP_Lamm_jc=1. aTP_Lamm_jf=1. aTP_Lamm_ji=1. aTP_Lamm_jl=1. aTP_Lamm_jp=1. aTP_Lamm_jt=1. aTP_Lamm_jx=1. aTP_Lamm_kb=1. aTP_Lamm_ke=1. aTP_Lamm_kh=1. aTP_Lamm_kk=1. aTP_Lamm_kn=1. aTP_Lamm_kq=1. aTP_Lamm_kt=1. aTP_Lamm_kw=1. aTP_Lamm_kz=1. aTP_Lamm_lb=1. aTP_Lamm_ld=1. aTP_Lamm_lg=1. aTP_Lamm_lj=1. aTP_Lamm_lm=1. aTP_Lamm_lp=1. aTP_Lamm_mm=1. aTP_Lamm_mq=1. aTP_Lamm_mu=1. aTP_Lamm_my=1. aTP_Lamm_nc=1. aTP_Lamm_ng=1. aTP_Lamm_nk=1. aTP_Lamm_no=1. aTP_Lamm_nr=1. aTP_Lamm_nu=1. aTP_Lamm_nx=1. aTP_Lamm_oa=1. aTP_Lamm_od=1. aTP_Lamm_og=1. aTP_Lamm_oj=1. aTP_Lamm_om=1. aTP_Lamm_op=1. aTP_Lamm_os=1. aTP_Lamm_ow=1. aTP_Lamm_pa=1. aTP_Lamm_pe=1. aTP_Lamm_pi=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_qe=1. aTP_Lamm_qg=1. aTP_Lamm_qj=1. aTP_Lamm_qm=1. aTP_Lamm_qp=1. aTP_Lamm_qs=1. aTP_Lamm_qv=1. aTP_Lamm_qy=1. aTP_Lamm_ry=1. aTP_Lamm_sa=1. aTP_Lamm_sc=1. aTP_Lamm_se=1. aTP_Lamm_sg=1. aTP_Lamm_sk=1. aTP_Lamm_sm=1. aTP_Lamm_sp=1. aTP_Lamm_ss=1. aTP_Lamm_su=1. aTP_Lamm_sw=1. aTP_Lamm_sz=1. aTP_Lamm_tb=1. aTP_Lamm_te=1. aTP_Lamm_th=1. aTP_Lamm_tk=1. aTP_Lamm_tn=1. aTP_Lamm_tp=1. aTP_Lamm_tq=1. aTP_Lamm_tv=1. fconj=1. fimplies=1. scratc102049735d_Sing=1. scratc1663319284_prop1=1. scratc305214380_prop1=1. scratc722567429d_n_1t=1. scratc804023492_cond2=1. scratc927157411d_Inj0=1. scratc953516132_n_one=1. aTP_Lamm_bu=1. aTP_Lamm_ca=1. aTP_Lamm_ce=1. aTP_Lamm_ci=1. aTP_Lamm_cm=1. aTP_Lamm_cq=1. aTP_Lamm_ct=1. aTP_Lamm_cw=1. aTP_Lamm_cz=1. aTP_Lamm_dc=1. aTP_Lamm_df=1. aTP_Lamm_di=1. aTP_Lamm_dk=1. aTP_Lamm_dm=1. aTP_Lamm_dp=1. aTP_Lamm_dr=1. aTP_Lamm_dv=1. aTP_Lamm_dy=1. aTP_Lamm_ec=1. aTP_Lamm_ef=1. aTP_Lamm_eh=1. aTP_Lamm_ej=1. aTP_Lamm_em=1. aTP_Lamm_ep=1. aTP_Lamm_es=1. aTP_Lamm_ev=1. aTP_Lamm_ey=1. aTP_Lamm_fb=1. aTP_Lamm_fd=1. aTP_Lamm_ff=1. aTP_Lamm_fj=1. aTP_Lamm_fn=1. aTP_Lamm_fp=1. aTP_Lamm_fr=1. aTP_Lamm_ft=1. aTP_Lamm_fv=1. aTP_Lamm_fx=1. aTP_Lamm_fz=1. aTP_Lamm_gb=1. aTP_Lamm_gd=1. aTP_Lamm_gh=1. aTP_Lamm_gl=1. aTP_Lamm_gn=1. aTP_Lamm_gp=1. aTP_Lamm_gr=1. aTP_Lamm_gt=1. aTP_Lamm_gv=1. aTP_Lamm_gy=1. aTP_Lamm_hb=1. aTP_Lamm_hd=1. aTP_Lamm_hf=1. aTP_Lamm_hi=1. aTP_Lamm_hk=1. aTP_Lamm_hl=1. aTP_Lamm_hp=1. aTP_Lamm_ht=1. aTP_Lamm_hx=1. aTP_Lamm_ib=1. aTP_Lamm_if=1. aTP_Lamm_ij=1. aTP_Lamm_in=1. aTP_Lamm_ir=1. aTP_Lamm_iu=1. aTP_Lamm_ix=1. aTP_Lamm_ja=1. aTP_Lamm_jd=1. aTP_Lamm_jg=1. aTP_Lamm_jj=1. aTP_Lamm_jm=1. aTP_Lamm_jq=1. aTP_Lamm_ju=1. aTP_Lamm_jy=1. aTP_Lamm_kc=1. aTP_Lamm_kf=1. aTP_Lamm_ki=1. aTP_Lamm_kl=1. aTP_Lamm_ko=1. aTP_Lamm_kr=1. aTP_Lamm_ku=1. aTP_Lamm_kx=1. aTP_Lamm_la=1. aTP_Lamm_lc=1. aTP_Lamm_le=1. aTP_Lamm_lf=1. aTP_Lamm_lh=1. aTP_Lamm_li=1. aTP_Lamm_lk=1. aTP_Lamm_ll=1. aTP_Lamm_ln=1. aTP_Lamm_lo=1. aTP_Lamm_lq=1. aTP_Lamm_ls=1. aTP_Lamm_lu=1. aTP_Lamm_lw=1. aTP_Lamm_ly=1. aTP_Lamm_ma=1. aTP_Lamm_mc=1. aTP_Lamm_me=1. aTP_Lamm_mg=1. aTP_Lamm_mh=1. aTP_Lamm_mi=1. aTP_Lamm_mj=1. aTP_Lamm_mn=1. aTP_Lamm_mr=1. aTP_Lamm_mv=1. aTP_Lamm_mz=1. aTP_Lamm_nd=1. aTP_Lamm_nh=1. aTP_Lamm_nl=1. aTP_Lamm_np=1. aTP_Lamm_ns=1. aTP_Lamm_nv=1. aTP_Lamm_ny=1. aTP_Lamm_ob=1. aTP_Lamm_oe=1. aTP_Lamm_oh=1. aTP_Lamm_ok=1. aTP_Lamm_on=1. aTP_Lamm_oq=1. aTP_Lamm_ot=1. aTP_Lamm_ox=1. aTP_Lamm_pb=1. aTP_Lamm_pf=1. aTP_Lamm_pj=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_qc=1. aTP_Lamm_qd=1. aTP_Lamm_qf=1. aTP_Lamm_qh=1. aTP_Lamm_qk=1. aTP_Lamm_qn=1. aTP_Lamm_qq=1. aTP_Lamm_qt=1. aTP_Lamm_qw=1. aTP_Lamm_qz=1. aTP_Lamm_rb=1. aTP_Lamm_rd=1. aTP_Lamm_rf=1. aTP_Lamm_rh=1. aTP_Lamm_rj=1. aTP_Lamm_rl=1. aTP_Lamm_rn=1. aTP_Lamm_rp=1. aTP_Lamm_rr=1. aTP_Lamm_rt=1. aTP_Lamm_rv=1. aTP_Lamm_rx=1. aTP_Lamm_rz=1. aTP_Lamm_sb=1. aTP_Lamm_sd=1. aTP_Lamm_sf=1. aTP_Lamm_sh=1. aTP_Lamm_sl=1. aTP_Lamm_sn=1. aTP_Lamm_sq=1. aTP_Lamm_st=1. aTP_Lamm_sv=1. aTP_Lamm_sx=1. aTP_Lamm_ta=1. aTP_Lamm_tc=1. aTP_Lamm_td=1. aTP_Lamm_tf=1. aTP_Lamm_tg=1. aTP_Lamm_ti=1. aTP_Lamm_tj=1. aTP_Lamm_tl=1. aTP_Lamm_tm=1. aTP_Lamm_to=1. aTP_Lamm_tr=1. aTP_Lamm_tt=1. aTP_Lamm_tu=1. aTP_Lamm_ty=1. aTP_Lamm_tz=1. aTP_Lamm_ua=1. aTP_Lamm_ud=1. aTP_Lamm_va=1. fequal_TPTP_ind=1. scratc1313611993_d_Unj=1. scratc597511785univof=1. scratc722633028d_n_2t=1. scratc788598823nd_nIn=1. scratc804023491_cond1=1. aTP_Lamm_ac=1. aTP_Lamm_ak=1. aTP_Lamm_aq=1. aTP_Lamm_bs=1. aTP_Lamm_bt=1. bool=1. scratc1074957109_prop1=1. scratc1280922161_prop1=1. scratc1539550337_empty=1. scratc1595303621r1type=1. scratc17069770pair_p=1. scratc263896038d_plus=1. scratc305214383_prop4=1. scratc310162863_prop1=1. scratc44491325428_id=1. scratc452511834_times=1. scratc486594934_prop1=1. scratc692559986_prop1=1. scratc722567424d_n_1o=1. scratc789300357_prop4=1. scratc893576555_prop1=1. scratc918055404nempty=1. scratc997900969munion=1. scratc1009740077d_24_g=1. scratc1187387365_428_g=1. scratc1304309467let_u0=1. scratc1529400629d_1out=1. scratc2070425343d_i1_s=1. scratc90927202d_xout=1. scratc921189665air_u0=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. scratc1412750047_d_and=1. aa_fun1431113780TP_ind=1. aa_boo1142376798l_bool=1. aa_TPT1123896796d_bool=1. scratc731738345bnd_if=1. scratc594333630d_l_ec=1. aa_fun1212484691d_bool=1. scratc1207580606d_e_in=1. aa_TPT1791839040TP_ind=1. aa_TPT985247859d_bool=1. scratc749718451nd_ind=1. scratc1197822002d_pair=1. aa_fun987228051d_bool=1. scratc1267605358_amone=1. scratc1678064815_image=1. scratc1720706884_first=1. scratc2035868576second=1. aa_TPT125613450d_bool=1. scratc791091585nd_non=1. aa_fun1913827119d_bool=1. scratc1455463351d_anec=1. aa_fun1107270209d_bool=1. aa_fun845057962d_bool=1. scratc715950854nd_ecp=1. scratc84727939_ecelt=1. scratc958847959eplSep=1. scratc799746690nd_out=1. scratc84137548_ecect=1. aa_TPT1781712639TP_ind=1. aa_TPT2142672771l_bool=1. aa_fun1235454963TP_ind=1. cOMBB_658106424TP_ind=1. cOMBS_2003118649l_bool=1. scratc1276652645wissel=1. scratc1408625848ectset=1. scratc1769423128_fixfu=1. scratc2076246585eft1to=1. scratc355857052ght1to=1. scratc395387385etprop=1. scratc715950858nd_ect=1. scratc896599322fixfu2=1. scratc1258825185d_invf=1. scratc1262561716d_tofs=1. scratc1293423971ectelt=1. scratc1514743194unmore=1. scratc1706051140nverse=1. f1=1. f12=1. f13=1. f20=1. f24=1. scratc1077693868all_of=1. scratc726700158d_n_pl=1. scratc726962561d_n_ts=1. scratc726700152d_n_pf=1. scratc1520215227_d_not=1. scratc1207580611d_e_is=1. scratc1296498598_d_Sep=1. scratc188354676l_some=1. scratc325136367d_esti=1. scratc1914357364ffprop=1. scratc594989635d_l_or=1. scratc683495221nd_all=1. scratc799287482nd_one=1. aTP_Lamm_ag=1. scratc1705080428d_outn=1. scratc1750379124_rec_G=1. aTP_Lamm_fg=1. aTP_Lamm_fk=1. aTP_Lamm_ge=1. aTP_Lamm_gi=1. aTP_Lamm_uk=1. aTP_Lamm_al=1. aTP_Lamm_as=1. aTP_Lamm_bc=1. aTP_Lamm_bk=1. aTP_Lamm_bx=1. aTP_Lamm_cb=1. aTP_Lamm_cf=1. aTP_Lamm_cj=1. aTP_Lamm_cn=1. aTP_Lamm_dz=1. aTP_Lamm_ek=1. aTP_Lamm_en=1. aTP_Lamm_eq=1. aTP_Lamm_et=1. aTP_Lamm_ew=1. aTP_Lamm_ez=1. aTP_Lamm_hg=1. aTP_Lamm_hm=1. aTP_Lamm_hq=1. aTP_Lamm_hu=1. aTP_Lamm_hy=1. aTP_Lamm_ic=1. aTP_Lamm_ig=1. aTP_Lamm_ik=1. aTP_Lamm_io=1. aTP_Lamm_jn=1. aTP_Lamm_jr=1. aTP_Lamm_jv=1. aTP_Lamm_jz=1. aTP_Lamm_mk=1. aTP_Lamm_mo=1. aTP_Lamm_ms=1. aTP_Lamm_mw=1. aTP_Lamm_na=1. aTP_Lamm_ne=1. aTP_Lamm_ni=1. aTP_Lamm_nm=1. aTP_Lamm_ou=1. aTP_Lamm_oy=1. aTP_Lamm_pc=1. aTP_Lamm_pg=1. aTP_Lamm_qi=1. aTP_Lamm_ql=1. aTP_Lamm_qo=1. aTP_Lamm_qr=1. aTP_Lamm_qu=1. aTP_Lamm_qx=1. aTP_Lamm_si=1. aTP_Lamm_uc=1. aTP_Lamm_uy=1. scratc1257578810d_incl=1. aTP_Lamm_aa=1. aTP_Lamm_aw=1. aTP_Lamm_bg=1. aTP_Lamm_bj=1. aTP_Lamm_bn=1. aTP_Lamm_by=1. aTP_Lamm_cr=1. aTP_Lamm_cu=1. aTP_Lamm_cx=1. aTP_Lamm_da=1. aTP_Lamm_dd=1. aTP_Lamm_dg=1. aTP_Lamm_is=1. aTP_Lamm_iv=1. aTP_Lamm_iy=1. aTP_Lamm_jb=1. aTP_Lamm_je=1. aTP_Lamm_jh=1. aTP_Lamm_jk=1. aTP_Lamm_kd=1. aTP_Lamm_kg=1. aTP_Lamm_kj=1. aTP_Lamm_km=1. aTP_Lamm_kp=1. aTP_Lamm_ks=1. aTP_Lamm_nq=1. aTP_Lamm_nt=1. aTP_Lamm_nw=1. aTP_Lamm_nz=1. aTP_Lamm_oc=1. aTP_Lamm_of=1. aTP_Lamm_oi=1. aTP_Lamm_ol=1. aTP_Lamm_oo=1. aTP_Lamm_or=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_so=1. aTP_Lamm_sr=1. aTP_Lamm_uu=1. aTP_Lamm_uw=1. scratc1401016667ective=1. scratc1941726541etprod=1. scratc716803644nd_eps=1. scratc749718461nd_inn=1. aTP_Lamm_at=1. aTP_Lamm_au=1. aTP_Lamm_av=1. aTP_Lamm_ax=1. aTP_Lamm_ay=1. aTP_Lamm_ba=1. aTP_Lamm_bb=1. aTP_Lamm_bh=1. aTP_Lamm_bi=1. aTP_Lamm_bl=1. aTP_Lamm_cc=1. aTP_Lamm_cg=1. aTP_Lamm_ck=1. aTP_Lamm_co=1. aTP_Lamm_dn=1. aTP_Lamm_dt=1. aTP_Lamm_dw=1. aTP_Lamm_ea=1. aTP_Lamm_ed=1. aTP_Lamm_fh=1. aTP_Lamm_fl=1. aTP_Lamm_gf=1. aTP_Lamm_gj=1. aTP_Lamm_gw=1. aTP_Lamm_gz=1. aTP_Lamm_hn=1. aTP_Lamm_hr=1. aTP_Lamm_hv=1. aTP_Lamm_hz=1. aTP_Lamm_id=1. aTP_Lamm_ih=1. aTP_Lamm_il=1. aTP_Lamm_ip=1. aTP_Lamm_jo=1. aTP_Lamm_js=1. aTP_Lamm_jw=1. aTP_Lamm_ka=1. aTP_Lamm_kv=1. aTP_Lamm_ky=1. aTP_Lamm_ml=1. aTP_Lamm_mp=1. aTP_Lamm_mt=1. aTP_Lamm_mx=1. aTP_Lamm_nb=1. aTP_Lamm_nf=1. aTP_Lamm_nj=1. aTP_Lamm_nn=1. aTP_Lamm_ov=1. aTP_Lamm_oz=1. aTP_Lamm_pd=1. aTP_Lamm_ph=1. aTP_Lamm_sj=1. aTP_Lamm_sy=1. aTP_Lamm_ue=1. aTP_Lamm_uf=1. aTP_Lamm_ug=1. aTP_Lamm_ui=1. aTP_Lamm_uo=1. aTP_Lamm_uq=1. aTP_Lamm_ur=1. aTP_Lamm_uv=1. fEx_TPTP_ind=1. scratc1890641509lbprop=1. scratc1991758068nunion=1. scratc2078616328ective=1. scratc726437752d_n_lb=1. scratc782436486nd_min=1. aTP_Lamm_az=1. aTP_Lamm_uh=1. aTP_Lamm_uj=1. aTP_Lamm_ul=1. aTP_Lamm_um=1. aTP_Lamm_un=1. aTP_Lamm_up=1. aTP_Lamm_us=1. aTP_Lamm_ut=1. aTP_Lamm_ux=1. aTP_Lamm_uz=1. scratc1082131601econd1=1. scratc354782027_pair1=1. scratc491084983_UPair=1. scratc615377389first1=1. scratc686611539In_rec=1. aTP_Lamm_ad=1. aTP_Lamm_ae=1. aTP_Lamm_af=1. aTP_Lamm_aj=1. aTP_Lamm_am=1. aTP_Lamm_bd=1. aTP_Lamm_be=1. aTP_Lamm_bf=1. aTP_Lamm_bm=1. aTP_Lamm_bp=1. aTP_Lamm_bv=1. aTP_Lamm_bw=1. cOMBC_1555011498d_bool=1. scratc104197811_prop1=1. scratc1287480245_prop1=1. scratc1584735897ective=1. scratc177396457t_disj=1. scratc1869284336_prop1=1. scratc1875842420_prop1=1. scratc1908043610tminus=1. scratc789300356_prop3=1. undefined_bool=1. scratc726503363d_n_mn=1. scratc920927269air_q0=1. undefined_TPTP_ind=1. f2=1. f8=1. f9=1. f10=1. f11=1. f17=1. f18=1. f21=1. f22=1. f23=1. scratc799549828nd_or3=1. scratc715950793nd_ec3=1. scratc481974518d_soft=1. scratc750112046nd_ite=1. scratc1377700019d_left=1. scratc335821695_indeq=1. scratc789300354_prop1=1. scratc1217513150eft_f1=1. scratc1823381489d_11_i=1. scratc334757071sel_wa=1. scratc334757072sel_wb=1. scratc1217513151eft_f2=1. scratc271494672_right=1. f5=1. f7=1. f14=1. f16=1. f19=1. f25=1. scratc789300355_prop2=1. scratc1017915311_inj_h=1. scratc1720010090hangef=1. f3=1. f4=1. f15=1. scratc63158263_prop1=1. scratc680109171indeq2=1. f6=1.
% 3.80/4.13
% 3.80/4.13 ============================== end of process initial clauses ========
% 3.80/4.13
% 3.80/4.13 ============================== CLAUSES FOR SEARCH ====================
% 3.80/4.13
% 3.80/4.13 ============================== end of clauses for search =============
% 3.80/4.13
% 3.80/4.13 ============================== SEARCH ================================
% 3.80/4.13
% 3.80/4.13 % Starting search at 1.99 seconds.
% 3.80/4.13
% 3.80/4.13 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 96 (0.00 of 2.69 sec)Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------