TSTP Solution File: NUM752+4 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : NUM752+4 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n015.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 13:31:40 EDT 2022
% Result : Timeout 300.02s 300.31s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM752+4 : TPTP v8.1.0. Released v7.3.0.
% 0.12/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jul 7 17:02:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.25/1.63 ============================== Prover9 ===============================
% 1.25/1.63 Prover9 (32) version 2009-11A, November 2009.
% 1.25/1.63 Process 14947 was started by sandbox on n015.cluster.edu,
% 1.25/1.63 Thu Jul 7 17:02:21 2022
% 1.25/1.63 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_14780_n015.cluster.edu".
% 1.25/1.63 ============================== end of head ===========================
% 1.25/1.63
% 1.25/1.63 ============================== INPUT =================================
% 1.25/1.63
% 1.25/1.63 % Reading from file /tmp/Prover9_14780_n015.cluster.edu
% 1.25/1.63
% 1.25/1.63 set(prolog_style_variables).
% 1.25/1.63 set(auto2).
% 1.25/1.63 % set(auto2) -> set(auto).
% 1.25/1.63 % set(auto) -> set(auto_inference).
% 1.25/1.63 % set(auto) -> set(auto_setup).
% 1.25/1.63 % set(auto_setup) -> set(predicate_elim).
% 1.25/1.63 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.25/1.63 % set(auto) -> set(auto_limits).
% 1.25/1.63 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.25/1.63 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.25/1.63 % set(auto) -> set(auto_denials).
% 1.25/1.63 % set(auto) -> set(auto_process).
% 1.25/1.63 % set(auto2) -> assign(new_constants, 1).
% 1.25/1.63 % set(auto2) -> assign(fold_denial_max, 3).
% 1.25/1.63 % set(auto2) -> assign(max_weight, "200.000").
% 1.25/1.63 % set(auto2) -> assign(max_hours, 1).
% 1.25/1.63 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.25/1.63 % set(auto2) -> assign(max_seconds, 0).
% 1.25/1.63 % set(auto2) -> assign(max_minutes, 5).
% 1.25/1.63 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.25/1.63 % set(auto2) -> set(sort_initial_sos).
% 1.25/1.63 % set(auto2) -> assign(sos_limit, -1).
% 1.25/1.63 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.25/1.63 % set(auto2) -> assign(max_megs, 400).
% 1.25/1.63 % set(auto2) -> assign(stats, some).
% 1.25/1.63 % set(auto2) -> clear(echo_input).
% 1.25/1.63 % set(auto2) -> set(quiet).
% 1.25/1.63 % set(auto2) -> clear(print_initial_clauses).
% 1.25/1.63 % set(auto2) -> clear(print_given).
% 1.25/1.63 assign(lrs_ticks,-1).
% 1.25/1.63 assign(sos_limit,10000).
% 1.25/1.63 assign(order,kbo).
% 1.25/1.63 set(lex_order_vars).
% 1.25/1.63 clear(print_given).
% 1.25/1.63
% 1.25/1.63 % formulas(sos). % not echoed (977 formulas)
% 1.25/1.63
% 1.25/1.63 ============================== end of input ==========================
% 1.25/1.63
% 1.25/1.63 % From the command line: assign(max_seconds, 300).
% 1.25/1.63
% 1.25/1.63 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.25/1.63
% 1.25/1.63 % Formulas that are not ordinary clauses:
% 1.25/1.63 1 (all B_1 all B_2 gg_bool(scratc1995684004_amone(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__58352__15810_ONUM752__thf__4__p_Obnd__amone) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 2 (all B_1 all B_2 gg_bool(scratc460033833_d_and(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__58352__15810_ONUM752__thf__4__p_Obnd__d__and) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 3 (all B_1 gg_bool(scratc567499013_d_not(B_1))) # label(gsy_c_Scratch__tptp__translate__58352__15810_ONUM752__thf__4__p_Obnd__d__not) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 4 (all B_1 all B_2 all B_3 gg_bool(scratc979689215nd_ec3(B_1,B_2,B_3))) # label(gsy_c_Scratch__tptp__translate__58352__15810_ONUM752__thf__4__p_Obnd__ec3) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 5 (all B_1 all B_2 gg_TPTP_ind(scratc979689280nd_ect(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__58352__15810_ONUM752__thf__4__p_Obnd__ect) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 6 (all B_1 gg_TPTP_ind(scratc980542066nd_eps(B_1))) # label(gsy_c_Scratch__tptp__translate__58352__15810_ONUM752__thf__4__p_Obnd__eps) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 7 (all B_1 all B_2 gg_TPTP_ind(scratc1013456873nd_ind(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__58352__15810_ONUM752__thf__4__p_Obnd__ind) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 8 (all B_1 all B_2 gg_bool(scratc1322412276d_l_ec(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__58352__15810_ONUM752__thf__4__p_Obnd__l__ec) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 9 (all B_1 all B_2 all B_3 gg_bool(scratc1063288250nd_or3(B_1,B_2,B_3))) # label(gsy_c_Scratch__tptp__translate__58352__15810_ONUM752__thf__4__p_Obnd__or3) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 10 (all B_1 all B_2 gg_bool(aa_bool_bool(B_1,B_2))) # label(gsy_c_aa_001t__HOL__Obool_001t__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 11 (all B_1 all B_2 gg_bool(aa_TPTP_ind_bool(B_1,B_2))) # label(gsy_c_aa_001t__TPTP____Interpret__Oind_001t__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 12 (all B_1 all B_2 gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(B_1,B_2))) # label(gsy_c_aa_001t__TPTP____Interpret__Oind_001t__TPTP____Interpret__Oind) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 13 (all B_1 all B_2 gg_bool(aa_fun171081125l_bool(B_1,B_2))) # label(gsy_c_aa_001t__fun_It__TPTP____Interpret__Oind_Mt__HOL__Obool_J_001t__HOL__Obool) # label(hypothesis) # label(non_clause). [assumption].
% 1.25/1.63 14 (all B_1 all B_2 gg_TPTP_ind(aa_fun1431113780TP_ind(B_1,B_2))) # label(gsy_c_aa_001t__fun_It__TPTP____Interpret__Oind_Mt__HOL__Obool_J_001t__TPTP____Interpret__Oind) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 15 (all B_1 all B_2 gg_TPTP_ind(aa_fun277296641TP_ind(B_1,B_2))) # label(gsy_c_aa_001t__fun_It__TPTP____Interpret__Oind_Mt__TPTP____Interpret__Oind_J_001t__TPTP____Interpret__Oind) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 16 (all B_1 gg_bool(fEx_TPTP_ind(B_1))) # label(gsy_c_fEx_001t__TPTP____Interpret__Oind) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 17 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1454122820d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1055223600nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc971558967nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1055223600nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc971558967nd_den,X)))),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(aa_TPTP_ind_TPTP_ind(scratc971558967nd_den,X)),aa_TPTP_ind_TPTP_ind(scratc971558967nd_den,Xa)))) # label(fact_def__n__pf) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 18 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263534331lesseq,X),Xa)) <-> pp(aa_bool_bool(scratc1323068281d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X),Xa))))) # label(fact_def__lesseq) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 19 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954822_moreq,X),Xa)) <-> pp(aa_bool_bool(scratc1323068281d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954811_moref,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X),Xa))))) # label(fact_def__moreq) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 20 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1055223600nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc971558967nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1055223600nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc971558967nd_den,X)))))) # label(fact_def__lessf) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 21 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954811_moref,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1055223600nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc971558967nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1055223600nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc971558967nd_den,X)))))) # label(fact_def__moref) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 22 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1055223600nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc971558967nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1055223600nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc971558967nd_den,X)))))) # label(fact_def__n__eq) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 23 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc471791113eft_f2(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc78692861d_left(X,Xa,Xb),aa_TPTP_ind_TPTP_ind(scratc471791112eft_f1(X,Xa,Xb),Xc))) # label(fact_def__left__f2) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 24 (all X all Xa all Xb scratc471791112eft_f1(X,Xa,Xb) = scratc78692861d_left(X,Xb,Xa)) # label(fact_def__left__f1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 25 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc999573318_right(X,Xa,Xb),Xc) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1998360215_Sigma,aa_TPTP_ind_TPTP_ind(scratc63875198_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].
% 1.25/1.63 26 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc78692861d_left(X,Xa,Xb),Xc) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1998360215_Sigma,aa_TPTP_ind_TPTP_ind(scratc63875198_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].
% 1.25/1.63 27 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1757618662ght1to(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc406073270d_outn(aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(X),aa_TPTP_ind_TPTP_ind(scratc1013456883nd_inn(Xa),Xb)))) # label(fact_def__right1to) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 28 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc914448495eft1to(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc406073270d_outn(X),aa_TPTP_ind_TPTP_ind(scratc1013456883nd_inn(Xa),Xb))) # label(fact_def__left1to) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 29 (all X aa_TPTP_ind_TPTP_ind(scratc939403692d_xout,X) = aa_TPTP_ind_TPTP_ind(scratc406073270d_outn(X),X)) # label(fact_def__xout) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 30 (all X aa_TPTP_ind_TPTP_ind(scratc367602539d_1out,X) = aa_TPTP_ind_TPTP_ind(scratc406073270d_outn(X),scratc1589838969nd_n_1)) # label(fact_def__d__1out) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 31 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc175205231air_q0(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1082860673_pair1(X),aa_TPTP_ind_TPTP_ind(scratc1810144823first1(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc2067817159econd1(X),Xa))) # label(fact_def__pair__q0) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 32 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc2067817159econd1(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,Xa),scratc1450711674d_n_2t)) # label(fact_def__second1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 33 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1810144823first1(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,Xa),scratc1450646075d_n_1t)) # label(fact_def__first1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 34 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1082860673_pair1(X),Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1998360215_Sigma,aa_TPTP_ind_TPTP_ind(scratc63875198_d_1to,scratc1589838970nd_n_2)),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_af(X),Xa),Xb))) # label(fact_def__pair1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 35 (all X aa_TPTP_ind_TPTP_ind(scratc505350651r1type,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc794454983d_d_Pi,aa_TPTP_ind_TPTP_ind(scratc63875198_d_1to,scratc1589838970nd_n_2)),aTP_Lamm_ag(X))) # label(fact_def__pair1type) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 36 (all X scratc1013456883nd_inn(X) = scratc1935659252d_e_in(scratc1053911627nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ah,X))) # label(fact_def__inn) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 37 (all X scratc406073270d_outn(X) = scratc1063485112nd_out(scratc1053911627nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ah,X))) # label(fact_def__outn) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 38 (all X aa_TPTP_ind_TPTP_ind(scratc63875198_d_1to,X) = aa_fun1431113780TP_ind(scratc343782384_d_Sep(scratc1053911627nd_nat),aa_TPT43085870d_bool(aTP_Lamm_ah,X))) # label(fact_def__d__1to) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 39 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1454582009d_n_mn(X),Xa) = scratc1013456873nd_ind(scratc1053911627nd_nat,aa_TPT43085870d_bool(scratc1168635326ffprop(X),Xa))) # label(fact_def__n__mn) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 40 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2066793130_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(X),Xa)),Xb)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(X),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Xa),Xb)))))) # label(fact_def__d__431__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 41 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1478430955_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(X),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Xa),Xb))),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(X),Xb)))))) # label(fact_def__d__430__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 42 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1084527265_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Xa),X))))) # label(fact_def__d__429__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 43 (all X scratc1455041207d_n_ts(X) = aa_TPT1424761345TP_ind(scratc309767493bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1180590480_times,X))) # label(fact_def__n__ts) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 44 (all X aa_TPTP_ind_TPTP_ind(scratc1180590480_times,X) = scratc1013456873nd_ind(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc794454983d_d_Pi,scratc1053911627nd_nat),aTP_Lamm_ai),aa_TPT43085870d_bool(scratc496165091_prop2,X))) # label(fact_def__times) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 45 (all X aa_TPTP_ind_TPTP_ind(scratc97434395_428_g,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1998360215_Sigma,scratc1053911627nd_nat),aTP_Lamm_aj(X))) # label(fact_def__d__428__g) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 46 (all X (pp(aa_TPTP_ind_bool(scratc496165093_prop4,X)) <-> pp(aa_fun171081125l_bool(scratc1174040234l_some(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc794454983d_d_Pi,scratc1053911627nd_nat),aTP_Lamm_ai)),aa_TPT43085870d_bool(scratc496165091_prop2,X))))) # label(fact_def__d__428__prop4) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 47 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc496165091_prop2,X),Xa)) <-> pp(scratc460033833_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,Xa),scratc1589838969nd_n_1)),X),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc496165090_prop1,X),Xa))))) # label(fact_def__d__428__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 48 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc496165090_prop1,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc2032491305_n_all,aa_TPT43085870d_bool(aTP_Lamm_al(X),Xa))))) # label(fact_def__d__428__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 49 (all X all Xa (pp(aa_TPTP_ind_bool(scratc1046174908nd_min(X),Xa)) <-> pp(scratc460033833_d_and(aa_TPTP_ind_bool(scratc1454516398d_n_lb(X),Xa),aa_TPTP_ind_bool(X,Xa))))) # label(fact_def__min) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 50 (all X all Xa (pp(aa_TPTP_ind_bool(scratc1454516398d_n_lb(X),Xa)) <-> pp(aa_fun171081125l_bool(scratc2032491305_n_all,aa_TPT43085870d_bool(scratc937925295lbprop(X),Xa))))) # label(fact_def__n__lb) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 51 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc937925295lbprop(X),Xa),Xb)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1013391286nd_imp,aa_TPTP_ind_bool(X,Xb)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,Xa),Xb))))) # label(fact_def__lbprop) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 52 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,X),Xa)) <-> pp(aa_bool_bool(scratc1323068281d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,X),Xa))))) # label(fact_def__lessis) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 53 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,X),Xa)) <-> pp(aa_bool_bool(scratc1323068281d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,X),Xa))))) # label(fact_def__moreis) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 54 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1087265529_prop1,X),Xa)) <-> pp(scratc1063288250nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,X),Xa),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,X),Xa),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,X),Xa))))) # label(fact_def__d__29__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 55 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1917864876n_some,aa_TPT43085870d_bool(scratc1168635326ffprop(Xa),X))))) # label(fact_def__iii) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 56 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1917864876n_some,aa_TPT43085870d_bool(scratc1168635326ffprop(X),Xa))))) # label(fact_def__d__29__ii) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 57 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1168635326ffprop(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,X),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Xa),Xb))))) # label(fact_def__diffprop) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 58 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc498903354_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1054436418nd_nis,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(X),Xb))))) # label(fact_def__d__28__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 59 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2058024827_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1054436418nd_nis,Xa),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(X),Xa))))) # label(fact_def__d__27__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 60 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1469662652_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Xa),X))))) # label(fact_def__d__26__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 61 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc881300477_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(X),Xa)),Xb)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(X),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Xa),Xb)))))) # label(fact_def__d__25__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 62 (all X scratc1454778804d_n_pl(X) = aa_TPT1424761345TP_ind(scratc309767493bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1112372528d_plus,X))) # label(fact_def__n__pl) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 63 (all X aa_TPTP_ind_TPTP_ind(scratc1112372528d_plus,X) = scratc1013456873nd_ind(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc794454983d_d_Pi,scratc1053911627nd_nat),aTP_Lamm_ai),aa_TPT43085870d_bool(scratc292938303_prop2,X))) # label(fact_def__plus) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 64 (all X aa_TPTP_ind_TPTP_ind(scratc264018039d_24_g,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1998360215_Sigma,scratc1053911627nd_nat),aTP_Lamm_am(X))) # label(fact_def__d__24__g) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 65 (all X (pp(aa_TPTP_ind_bool(scratc1517379003_prop4,X)) <-> pp(aa_fun171081125l_bool(scratc1174040234l_some(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc794454983d_d_Pi,scratc1053911627nd_nat),aTP_Lamm_ai)),aa_TPT43085870d_bool(scratc292938303_prop2,X))))) # label(fact_def__prop4) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 66 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517379002_prop3(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,X),Xb)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,Xa),Xb))))) # label(fact_def__prop3) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 67 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc292938303_prop2,X),Xa)) <-> pp(scratc460033833_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,Xa),scratc1589838969nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,X)),aa_TPTP_ind_bool(scratc292938302_prop1,Xa))))) # label(fact_def__d__24__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 68 (all X (pp(aa_TPTP_ind_bool(scratc292938302_prop1,X)) <-> pp(aa_fun171081125l_bool(scratc2032491305_n_all,aa_TPT43085870d_bool(aTP_Lamm_an,X))))) # label(fact_def__d__24__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 69 (all X (pp(aa_TPTP_ind_bool(scratc1852059775_prop1,X)) <-> pp(aa_bool_bool(scratc1323068281d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,X),scratc1589838969nd_n_1)),aa_fun171081125l_bool(scratc1917864876n_some,aa_TPT43085870d_bool(aTP_Lamm_ao,X)))))) # label(fact_def__d__23__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 70 (all X (pp(aa_TPTP_ind_bool(scratc1263697600_prop1,X)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1054436418nd_nis,aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,X)),X)))) # label(fact_def__d__22__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 71 (all X (pp(aa_TPTP_ind_bool(scratc1532102138_cond2,X)) <-> pp(aa_fun171081125l_bool(scratc2032491305_n_all,aa_TPT43085870d_bool(aTP_Lamm_ap,X))))) # label(fact_def__cond2) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 72 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1054436418nd_nis,X),Xa)) <-> pp(scratc567499013_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,X),Xa))))) # label(fact_def__nis) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 73 (all X all Xa all Xb all Xc all Xd scratc1874876605indeq2(X,Xa,Xb,Xc,Xd) = aa_TPT1424761345TP_ind(scratc1063900341_indeq(X,Xa,Xb),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1077659451d_11_i(X,Xa,Xb),Xc),Xd))) # label(fact_def__indeq2) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 74 (all X all Xa all Xb scratc1077659451d_11_i(X,Xa,Xb) = scratc1063900341_indeq(X,Xa,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc794454983d_d_Pi,X),aTP_Lamm_ag(Xb)))) # label(fact_def__d__11__i) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 75 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2091366756fixfu2(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_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].
% 1.25/1.63 76 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1063900341_indeq(X,Xa,Xb),Xc),Xd) = scratc1013456873nd_ind(Xb,aa_TPT43085870d_bool(scratc1517379001_prop2(X,Xa,Xb,Xc),Xd))) # label(fact_def__indeq) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 77 (all X all Xa all Xb all Xc all Xd all Xe (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517379001_prop2(X,Xa,Xb,Xc),Xd),Xe)) <-> pp(aa_fun171081125l_bool(scratc1174040234l_some(X),aa_TPT43085870d_bool(scratc840260929_prop1(X,Xa,Xb,Xc,Xd),Xe))))) # label(fact_def__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 78 (all X all Xa all Xb all Xc all Xd all Xe all Xf (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc840260929_prop1(X,Xa,Xb,Xc,Xd),Xe),Xf)) <-> pp(scratc460033833_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173612857d_esti(X),Xf),aa_TPTP_ind_TPTP_ind(scratc812216194_ecect(X,Xa),Xd)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1935659257d_e_is(Xb),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,Xc),Xf)),Xe))))) # label(fact_def__d__10__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 79 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc350018126_fixfu(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_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].
% 1.25/1.63 80 (all X all Xa scratc812216194_ecect(X,Xa) = scratc1935659252d_e_in(aa_TPTP_ind_TPTP_ind(scratc1388471567_power,X),scratc156456193d_anec(X,Xa))) # label(fact_def__ecect) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 81 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc340707757ectelt(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc455909634ectset(X,Xa),aa_TPTP_ind_TPTP_ind(scratc812806585_ecelt(X,Xa),Xb))) # label(fact_def__ectelt) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 82 (all X all Xa scratc455909634ectset(X,Xa) = scratc1063485112nd_out(aa_TPTP_ind_TPTP_ind(scratc1388471567_power,X),scratc156456193d_anec(X,Xa))) # label(fact_def__ectset) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 83 (all X all Xa scratc979689280nd_ect(X,Xa) = aa_fun1431113780TP_ind(scratc343782384_d_Sep(aa_TPTP_ind_TPTP_ind(scratc1388471567_power,X)),scratc156456193d_anec(X,Xa))) # label(fact_def__ect) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 84 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(scratc156456193d_anec(X,Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1174040234l_some(X),aa_TPT43085870d_bool(scratc979689276nd_ecp(X,Xa),Xb))))) # label(fact_def__anec) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 85 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc979689276nd_ecp(X,Xa),Xb),Xc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1935659257d_e_is(aa_TPTP_ind_TPTP_ind(scratc1388471567_power,X)),Xb),aa_TPTP_ind_TPTP_ind(scratc812806585_ecelt(X,Xa),Xc))))) # label(fact_def__ecp) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 86 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc812806585_ecelt(X,Xa),Xb) = aa_fun1431113780TP_ind(scratc343782384_d_Sep(X),aa_TPT43085870d_bool(Xa,Xb))) # label(fact_def__ecelt) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 87 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc562026980unmore(X,Xa),Xb) = aa_fun1431113780TP_ind(scratc343782384_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].
% 1.25/1.63 88 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1038568515etprop(X,Xa),Xb),Xc)) <-> pp(scratc460033833_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173612857d_esti(X),Xc),Xa),scratc567499013_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173612857d_esti(X),Xc),Xb)))))) # label(fact_def__nissetprop) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 89 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1579158067t_disj(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc947233643nd_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].
% 1.25/1.63 90 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2106055300d_incl(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc947233643nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bb(X),Xa),Xb))))) # label(fact_def__incl) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 91 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc172333366nempty,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1174040234l_some(X),aa_TPT43085870d_bool(aTP_Lamm_bc(X),Xa))))) # label(fact_def__nonempty) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 92 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc120145335_empty,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X)),scratc1054830007nd_non(X,aa_TPT43085870d_bool(aTP_Lamm_bc(X),Xa)))))) # label(fact_def__empty) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 93 (all X scratc1173612857d_esti(X) = scratc310292283bnd_in) # label(fact_def__esti) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 94 (all X all Xa (scratc1717347066d_r_ec(X,Xa) <-> (pp(X) -> pp(scratc567499013_d_not(Xa))))) # label(fact_def__r__ec) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 95 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(scratc558212000hangef(X,Xa,Xb,Xc),Xd) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1998360215_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].
% 1.25/1.63 96 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc323936431wissel(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1998360215_Sigma,X),scratc977938202sel_wb(X,Xa,Xb))) # label(fact_def__wissel) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 97 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc977938202sel_wb(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc1013850468nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1935659257d_e_is(X),Xc),Xb),X,Xa),aa_TPTP_ind_TPTP_ind(scratc977938201sel_wa(X,Xa,Xb),Xc))) # label(fact_def__wissel__wb) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 98 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc977938201sel_wa(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc1013850468nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1935659257d_e_is(X),Xc),Xa),X,Xb),Xc)) # label(fact_def__wissel__wa) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 99 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1013850468nd_ite(X,Xa,Xb),Xc) = scratc1013456873nd_ind(Xa,aa_TPT43085870d_bool(scratc1517379000_prop1(X,Xa,Xb),Xc))) # label(fact_def__ite) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 100 (all X all Xa all Xb all Xc all Xd (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517379000_prop1(X,Xa,Xb),Xc),Xd)) <-> pp(scratc460033833_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1013391286nd_imp,X),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1935659257d_e_is(Xa),Xd),Xb)),aa_bool_bool(aa_boo1142376798l_bool(scratc1013391286nd_imp,scratc567499013_d_not(X)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1935659257d_e_is(Xa),Xd),Xc)))))) # label(fact_def__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 101 (all X all Xa scratc1083152362second(X,Xa) = scratc1516985406_proj1) # label(fact_def__second) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 102 (all X all Xa scratc301301882_first(X,Xa) = scratc1516985405_proj0) # label(fact_def__first) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 103 (all X all Xa scratc36023912d_pair(X,Xa) = scratc1020708784d_pair) # label(fact_def__d__pair) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 104 (all X all Xa scratc1063485112nd_out(X,Xa) = scratc1330451008d_soft(aa_fun1431113780TP_ind(scratc343782384_d_Sep(X),Xa),X,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1998360215_Sigma,aa_fun1431113780TP_ind(scratc343782384_d_Sep(X),Xa)),scratc1935659252d_e_in(X,Xa)))) # label(fact_def__out) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 105 (all X all Xa all Xb (gg_TPTP_ind(Xb) -> aa_TPTP_ind_TPTP_ind(scratc1935659252d_e_in(X,Xa),Xb) = Xb)) # label(fact_def__e__in) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 106 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(scratc65199097_inj_h(X,Xa,Xb,Xc),Xd) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1998360215_Sigma,X),aa_TPT1424761345TP_ind(aTP_Lamm_be(Xc),Xd))) # label(fact_def__inj__h) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 107 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc2107301675d_invf(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1998360215_Sigma,Xa),scratc1330451008d_soft(X,Xa,Xb))) # label(fact_def__invf) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 108 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc494782927ective(X),Xa),Xb)) <-> pp(scratc460033833_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc311063697ective(X),Xa),Xb),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc574313810ective(X),Xa),Xb))))) # label(fact_def__bijective) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 109 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc574313810ective(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc947233643nd_all(Xa),aa_TPT43085870d_bool(scratc258659813_image(X,Xa),Xb))))) # label(fact_def__surjective) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 110 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc544253050nverse(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1998360215_Sigma,Xa),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_bf(X),Xa),Xb))) # label(fact_def__inverse) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 111 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1330451008d_soft(X,Xa,Xb),Xc) = scratc1013456873nd_ind(X,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bg(Xa),Xb),Xc))) # label(fact_def__soft) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 112 (all X all Xa scratc2111038206d_tofs(X,Xa) = scratc309767493bnd_ap) # label(fact_def__tofs) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 113 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc258659813_image(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc1174040234l_some(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bg(Xa),Xb),Xc))))) # label(fact_def__image) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 114 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc311063697ective(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc947233643nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bi(X),Xa),Xb))))) # label(fact_def__injective) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 115 (all X all Xa scratc1013456873nd_ind(X,Xa) = scratc980542066nd_eps(aa_fun1584354236d_bool(aTP_Lamm_bj(X),Xa))) # label(fact_def__ind) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 116 (all X all Xa (pp(aa_fun171081125l_bool(scratc1063025904nd_one(X),Xa)) <-> pp(scratc460033833_d_and(scratc1995684004_amone(X,Xa),aa_fun171081125l_bool(scratc1174040234l_some(X),Xa))))) # label(fact_def__one) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 117 (all X all Xa (pp(scratc1995684004_amone(X,Xa)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_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].
% 1.25/1.63 118 (all X scratc1935659257d_e_is(X) = fequal_TPTP_ind) # label(fact_def__e__is) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 119 (all X all Xa all Xb (scratc294346876_orec3(X,Xa,Xb) <-> pp(scratc460033833_d_and(scratc1063288250nd_or3(X,Xa,Xb),scratc979689215nd_ec3(X,Xa,Xb))))) # label(fact_def__orec3) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 120 (all X all Xa all Xb (pp(scratc979689215nd_ec3(X,Xa,Xb)) <-> scratc156390546d_and3(scratc1322412276d_l_ec(X,Xa),scratc1322412276d_l_ec(Xa,Xb),scratc1322412276d_l_ec(Xb,X)))) # label(fact_def__ec3) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 121 (all X all Xa all Xb (scratc156390546d_and3(X,Xa,Xb) <-> pp(scratc460033833_d_and(X,scratc460033833_d_and(Xa,Xb))))) # label(fact_def__and3) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 122 (all X all Xa all Xb (pp(scratc1063288250nd_or3(X,Xa,Xb)) <-> pp(aa_bool_bool(scratc1323068281d_l_or(X),aa_bool_bool(scratc1323068281d_l_or(Xa),Xb))))) # label(fact_def__or3) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 123 (all X all Xa (pp(aa_fun171081125l_bool(scratc1174040234l_some(X),Xa)) <-> pp(scratc567499013_d_not(aa_fun171081125l_bool(scratc2063379426all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X)),scratc1054830007nd_non(X,Xa)))))) # label(fact_def__l__some) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 124 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(scratc1054830007nd_non(X,Xa),Xb)) <-> pp(scratc567499013_d_not(aa_TPTP_ind_bool(Xa,Xb))))) # label(fact_def__non) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 125 (all X scratc947233643nd_all(X) = scratc2063379426all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X))) # label(fact_def__all) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 126 (all X all Xa (scratc1354175283_l_iff(X,Xa) <-> pp(scratc460033833_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1013391286nd_imp,X),Xa),aa_bool_bool(aa_boo1142376798l_bool(scratc1013391286nd_imp,Xa),X))))) # label(fact_def__l__iff) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 127 (all X all Xa (scratc380304759d_orec(X,Xa) <-> pp(scratc460033833_d_and(aa_bool_bool(scratc1323068281d_l_or(X),Xa),scratc1322412276d_l_ec(X,Xa))))) # label(fact_def__orec) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 128 (all X scratc1323068281d_l_or(X) = aa_boo1142376798l_bool(scratc1013391286nd_imp,scratc567499013_d_not(X))) # label(fact_def__l__or) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 129 (all X all Xa (pp(scratc460033833_d_and(X,Xa)) <-> pp(scratc567499013_d_not(scratc1322412276d_l_ec(X,Xa))))) # label(fact_def__d__and) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 130 (all X all Xa (pp(scratc1322412276d_l_ec(X,Xa)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1013391286nd_imp,X),scratc567499013_d_not(Xa))))) # label(fact_def__l__ec) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 131 scratc1409335697bvious <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1013391286nd_imp,fFalse),fFalse)) # label(fact_def__obvious) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 132 (all X (scratc1128527560nd_wel(X) <-> pp(scratc567499013_d_not(scratc567499013_d_not(X))))) # label(fact_def__wel) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 133 (all X (pp(scratc567499013_d_not(X)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1013391286nd_imp,X),fFalse)))) # label(fact_def__d__not) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 134 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc794454983d_d_Pi,X),Xa) = aa_fun1431113780TP_ind(scratc343782384_d_Sep(aa_TPTP_ind_TPTP_ind(scratc1388471567_power,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1998360215_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].
% 1.25/1.63 135 (all X (gg_TPTP_ind(X) -> (pp(aa_TPTP_ind_bool(scratc1002755328pair_p,X)) <-> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1020708784d_pair,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,X),scratc2034222027ptyset)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,X),aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,scratc2034222027ptyset))) = X))) # label(fact_def__pair__p) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 136 (all X all Xa aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,X),Xa) = aa_fun277296641TP_ind(scratc1602029089eplSep(X,aa_TPT43085870d_bool(aTP_Lamm_bo,Xa)),scratc1516985406_proj1)) # label(fact_def__ap) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 137 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc779928451etprod(X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1998360215_Sigma,X),aTP_Lamm_ag(Xa))) # label(fact_def__setprod) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 138 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1998360215_Sigma,X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc252178931munion,X),aTP_Lamm_bp(Xa))) # label(fact_def__d__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 139 (all X aa_TPTP_ind_TPTP_ind(scratc1516985406_proj1,X) = aa_fun277296641TP_ind(scratc1602029089eplSep(X,aTP_Lamm_bq),scratc360895779_d_Unj)) # label(fact_def__proj1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 140 (all X aa_TPTP_ind_TPTP_ind(scratc1516985405_proj0,X) = aa_fun277296641TP_ind(scratc1602029089eplSep(X,aTP_Lamm_br),scratc360895779_d_Unj)) # label(fact_def__proj0) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 141 (all X all Xa aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1020708784d_pair,X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1246036030nunion(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc467904741d_repl,X),scratc1912842969d_Inj0)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc467904741d_repl,Xa),scratc1912842970d_Inj1))) # label(fact_def__pair) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 142 (all X aa_TPTP_ind_TPTP_ind(scratc1912842969d_Inj0,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc467904741d_repl,X),scratc1912842970d_Inj1)) # label(fact_def__d__Inj0) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 143 (all X (pp(aa_TPTP_ind_bool(scratc1359222437_nat_p,X)) <-> (all X1 (pp(aa_TPTP_ind_bool(X1,scratc2034222027ptyset)) -> ((all X2 (gg_TPTP_ind(X2) -> (pp(aa_TPTP_ind_bool(X1,X2)) -> pp(aa_TPTP_ind_bool(X1,aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,X2)))))) -> pp(aa_TPTP_ind_bool(X1,X))))))) # label(fact_def__nat__p) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 144 (all X aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,X) = aa_TPTP_ind_TPTP_ind(scratc1246036030nunion(X),aa_TPTP_ind_TPTP_ind(scratc1087735293d_Sing,X))) # label(fact_def__ordsucc) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 145 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1329792669In_rec(X),Xa) = scratc980542066nd_eps(aa_TPT43085870d_bool(scratc1941329834_rec_G(X),Xa))) # label(fact_def__d__In__rec) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 146 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1941329834_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(scratc310292283bnd_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].
% 1.25/1.63 147 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1162321572tminus(X),Xa) = aa_fun1431113780TP_ind(scratc343782384_d_Sep(X),aa_TPT43085870d_bool(aTP_Lamm_bu,Xa))) # label(fact_def__setminus) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 148 (all X all Xa scratc1602029089eplSep(X,Xa) = aa_TPT494704832TP_ind(scratc467904741d_repl,aa_fun1431113780TP_ind(scratc343782384_d_Sep(X),Xa))) # label(fact_def__d__ReplSep) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 149 (all X all Xa aa_fun1431113780TP_ind(scratc343782384_d_Sep(X),Xa) = aa_TPTP_ind_TPTP_ind(scratc310292275bnd_if(fEx_TPTP_ind(cOMBS_2003118649l_bool(cOMBB_658106424TP_ind(fconj,aa_TPT43085870d_bool(cOMBC_1555011498d_bool(scratc310292283bnd_in),X)),Xa)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc467904741d_repl,X),aa_fun1235454963TP_ind(aTP_Lamm_bv(X),Xa))),scratc2034222027ptyset)) # label(fact_def__d__Sep) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 150 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc252178931munion,X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1895733433_union,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc467904741d_repl,X),Xa))) # label(fact_def__famunion) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 151 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1246036030nunion(X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1895733433_union,aa_TPTP_ind_TPTP_ind(scratc1892846593_UPair(X),Xa))) # label(fact_def__binunion) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.63 152 (all X aa_TPTP_ind_TPTP_ind(scratc1087735293d_Sing,X) = aa_TPTP_ind_TPTP_ind(scratc1892846593_UPair(X),X)) # label(fact_def__d__Sing) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 153 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1892846593_UPair(X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc467904741d_repl,aa_TPTP_ind_TPTP_ind(scratc1388471567_power,aa_TPTP_ind_TPTP_ind(scratc1388471567_power,scratc2034222027ptyset))),aa_TPT1424761345TP_ind(aTP_Lamm_bw(X),Xa))) # label(fact_def__d__UPair) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 154 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1052337245nd_nIn,X),Xa)) <-> -pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X),Xa)))) # label(fact_def__nIn) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 155 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc310292275bnd_if(X,Xa),Xb) = scratc980542066nd_eps(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bx(X),Xa),Xb))) # label(fact_def__if) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 156 (all X (pp(aa_TPTP_ind_bool(scratc92370086closed,X)) <-> pp(aa_TPTP_ind_bool(scratc1800616045closed,X)) & pp(aa_TPTP_ind_bool(scratc1965349059closed,X)) & pp(aa_TPTP_ind_bool(scratc1334278217closed,X)))) # label(fact_def__d__ZF__closed) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 157 (all X (pp(aa_TPTP_ind_bool(scratc1334278217closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X1),X)) -> (all X2 ((all X3 (gg_TPTP_ind(X3) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X3),X1)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,aa_TPTP_ind_TPTP_ind(X2,X3)),X))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc467904741d_repl,X1),X2)),X))))))))) # label(fact_def__d__Repl__closed) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 158 (all X (pp(aa_TPTP_ind_bool(scratc1965349059closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X1),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,aa_TPTP_ind_TPTP_ind(scratc1388471567_power,X1)),X))))))) # label(fact_def__d__Power__closed) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 159 (all X (pp(aa_TPTP_ind_bool(scratc1800616045closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X1),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,aa_TPTP_ind_TPTP_ind(scratc1895733433_union,X1)),X))))))) # label(fact_def__d__Union__closed) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 160 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1186086175d_Subq,X),Xa)) <-> (all X2 (gg_TPTP_ind(X2) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X2),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X2),Xa))))))) # label(fact_def__d__Subq) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 161 (all X all Xa (pp(aa_fun171081125l_bool(scratc2063379426all_of(X),Xa)) <-> (all X2 (gg_TPTP_ind(X2) -> (scratc1472578231_is_of(X2,X) -> pp(aa_TPTP_ind_bool(Xa,X2))))))) # label(fact_def__all__of) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 162 (all X all Xa (scratc1472578231_is_of(X,Xa) <-> pp(aa_TPTP_ind_bool(Xa,X)))) # label(fact_def__is__of) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 163 (all X0 (pp(aa_fun171081125l_bool(scratc1917864876n_some,X0)) -> pp(aa_fun171081125l_bool(scratc799918_n_one,scratc1046174908nd_min(X0))))) # label(fact_satz27a) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 164 (all X0 (pp(aa_fun171081125l_bool(scratc1917864876n_some,X0)) -> pp(aa_fun171081125l_bool(scratc1917864876n_some,scratc1046174908nd_min(X0))))) # label(fact_satz27) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 165 (all X0 pp(aa_fun171081125l_bool(scratc2063379426all_of(aa_TPT43085870d_bool(aTP_Lamm_tc,X0)),aa_TPT43085870d_bool(aTP_Lamm_te,X0)))) # label(fact_isseti) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 166 (all X0 all X12 pp(aa_fun171081125l_bool(scratc2063379426all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X0)),aa_fun1584354236d_bool(aTP_Lamm_tf(X0),X12)))) # label(fact_estie) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 167 (all X0 all X12 pp(aa_fun171081125l_bool(scratc2063379426all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X0)),aa_fun1584354236d_bool(aTP_Lamm_tg(X0),X12)))) # label(fact_estii) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 168 (all X0 all X12 scratc1472578231_is_of(aa_fun1431113780TP_ind(scratc343782384_d_Sep(X0),X12),aa_TPT43085870d_bool(aTP_Lamm_tc,X0))) # label(fact_setof__p) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 169 (all X0 all X12 pp(aa_fun171081125l_bool(scratc2063379426all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X0)),aa_TPT43085870d_bool(aTP_Lamm_ti(X0),X12)))) # label(fact_secondis1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 170 (all X0 all X12 pp(aa_fun171081125l_bool(scratc2063379426all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X0)),aa_TPT43085870d_bool(aTP_Lamm_tk(X0),X12)))) # label(fact_firstis1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 171 (all X0 all X12 pp(aa_fun171081125l_bool(scratc2063379426all_of(aa_TPT43085870d_bool(aTP_Lamm_tl(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_tm(X0),X12)))) # label(fact_pairis1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 172 (all X0 all X12 pp(aa_fun171081125l_bool(scratc2063379426all_of(aa_TPT43085870d_bool(aTP_Lamm_tl(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_tn(X0),X12)))) # label(fact_second__p) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 173 (all X0 all X12 pp(aa_fun171081125l_bool(scratc2063379426all_of(aa_TPT43085870d_bool(aTP_Lamm_tl(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_to(X0),X12)))) # label(fact_first__p) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 174 (all X0 all X12 pp(aa_fun171081125l_bool(scratc2063379426all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X0)),aa_TPT43085870d_bool(aTP_Lamm_tq(X0),X12)))) # label(fact_e__pair__p) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 175 (all X0 all X12 pp(aa_fun171081125l_bool(scratc2063379426all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X0)),aa_fun1584354236d_bool(aTP_Lamm_tr(X0),X12)))) # label(fact_otax2) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 176 (all X0 all X12 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc311063697ective(aa_fun1431113780TP_ind(scratc343782384_d_Sep(X0),X12)),X0),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1998360215_Sigma,aa_fun1431113780TP_ind(scratc343782384_d_Sep(X0),X12)),scratc1935659252d_e_in(X0,X12))))) # label(fact_otax1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 177 (all X0 all X12 pp(aa_fun171081125l_bool(scratc2063379426all_of(aa_fun1584354236d_bool(aTP_Lamm_ts(X0),X12)),aa_fun1584354236d_bool(aTP_Lamm_tt(X0),X12)))) # label(fact_e__inp) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 178 (all X0 all X12 pp(aa_fun171081125l_bool(scratc2063379426all_of(aa_fun1584354236d_bool(aTP_Lamm_ts(X0),X12)),aa_fun1584354236d_bool(aTP_Lamm_tu(X0),X12)))) # label(fact_e__in__p) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 179 (all X0 all X12 pp(aa_fun171081125l_bool(scratc2063379426all_of(aa_TPT43085870d_bool(aTP_Lamm_tv(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_ty(X0),X12)))) # label(fact_e__fisi) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 180 (all X0 all X12 (pp(aa_fun171081125l_bool(scratc1063025904nd_one(X0),X12)) -> pp(aa_TPTP_ind_bool(X12,scratc1013456873nd_ind(X0,X12))))) # label(fact_oneax) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 181 (all X0 all X12 (pp(aa_fun171081125l_bool(scratc1063025904nd_one(X0),X12)) -> scratc1472578231_is_of(scratc1013456873nd_ind(X0,X12),aa_TPT43085870d_bool(aTP_Lamm_ar,X0)))) # label(fact_ind__p) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 182 (all X0 all X12 pp(aa_fun171081125l_bool(scratc2063379426all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X0)),aa_fun1584354236d_bool(aTP_Lamm_ua(X0),X12)))) # label(fact_e__isp) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 183 (all X0 pp(aa_fun171081125l_bool(scratc2063379426all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X0)),aa_TPT43085870d_bool(aTP_Lamm_ub,X0)))) # label(fact_refis) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 184 (all X0 (scratc1128527560nd_wel(X0) -> pp(X0))) # label(fact_l__et) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 185 (all X0 all X12 all X22 all X32 (pp(X0) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc310292275bnd_if(X0,X22),X32))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X12),X22))))) # label(fact_k__If__In__then__E) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 186 (all X0 all X12 all X22 ((pp(X0) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X12),X22))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,aa_TPTP_ind_TPTP_ind(scratc310292275bnd_if(X0,X12),scratc2034222027ptyset)),aa_TPTP_ind_TPTP_ind(scratc310292275bnd_if(X0,X22),aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,scratc2034222027ptyset)))))) # label(fact_k__If__In__01) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 187 (all X0 all X12 all X22 ((all X33 (gg_TPTP_ind(X33) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X33),X0)) -> aa_TPTP_ind_TPTP_ind(X12,X33) = aa_TPTP_ind_TPTP_ind(X22,X33)))) -> aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1998360215_Sigma,X0),X12) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1998360215_Sigma,X0),X22))) # label(fact_xi__ext) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 188 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc794454983d_d_Pi,X0),X12))) -> (all X32 (gg_TPTP_ind(X32) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X32),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc794454983d_d_Pi,X0),X12))) -> ((all X42 (gg_TPTP_ind(X42) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X42),X0)) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,X22),X42) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,X32),X42)))) -> X22 = X32))))))) # label(fact_k__Pi__ext) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 189 (all X0 all X12 all X22 all X32 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc794454983d_d_Pi,X0),X12))) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X32),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,X22),X32)),aa_TPTP_ind_TPTP_ind(X12,X32)))))) # label(fact_ap__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 190 (all X0 all X12 all X22 ((all X33 (gg_TPTP_ind(X33) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X33),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,aa_TPTP_ind_TPTP_ind(X22,X33)),aa_TPTP_ind_TPTP_ind(X12,X33)))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1998360215_Sigma,X0),X22)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc794454983d_d_Pi,X0),X12))))) # label(fact_lam__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 191 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X22),X0)) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1998360215_Sigma,X0),X12)),X22) = aa_TPTP_ind_TPTP_ind(X12,X22))) # label(fact_beta) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 192 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1998360215_Sigma,X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,aa_TPTP_ind_TPTP_ind(scratc1516985406_proj1,X22)),aa_TPTP_ind_TPTP_ind(X12,aa_TPTP_ind_TPTP_ind(scratc1516985405_proj0,X22)))))) # label(fact_proj1__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 193 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1998360215_Sigma,X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,aa_TPTP_ind_TPTP_ind(scratc1516985405_proj0,X22)),X0)))) # label(fact_proj0__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 194 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1998360215_Sigma,X0),X12))) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1020708784d_pair,aa_TPTP_ind_TPTP_ind(scratc1516985405_proj0,X22)),aa_TPTP_ind_TPTP_ind(scratc1516985406_proj1,X22)) = X22))) # label(fact_proj__Sigma__eta) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 195 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1998360215_Sigma,X0),X12))) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1020708784d_pair,aa_TPTP_ind_TPTP_ind(scratc1516985405_proj0,X22)),aa_TPTP_ind_TPTP_ind(scratc1516985406_proj1,X22)) = X22 & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,aa_TPTP_ind_TPTP_ind(scratc1516985405_proj0,X22)),X0)) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,aa_TPTP_ind_TPTP_ind(scratc1516985406_proj1,X22)),aa_TPTP_ind_TPTP_ind(X12,aa_TPTP_ind_TPTP_ind(scratc1516985405_proj0,X22))))))) # label(fact_k__Sigma__eta__proj0__proj1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 196 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X22),X0)) -> (all X32 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X32),aa_TPTP_ind_TPTP_ind(X12,X22))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1020708784d_pair,X22),X32)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1998360215_Sigma,X0),X12))))))) # label(fact_pair__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 197 (all X0 all X12 (gg_TPTP_ind(X12) -> aa_TPTP_ind_TPTP_ind(scratc1516985406_proj1,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1020708784d_pair,X0),X12)) = X12)) # label(fact_proj1__pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 198 (all X0 all X12 (gg_TPTP_ind(X0) -> aa_TPTP_ind_TPTP_ind(scratc1516985405_proj0,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1020708784d_pair,X0),X12)) = X0)) # label(fact_proj0__pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 199 (all X0 (pp(aa_TPTP_ind_bool(scratc1359222437_nat_p,X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X0),scratc686640619_omega)))) # label(fact_nat__p__omega) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 200 (all X0 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X0),scratc686640619_omega)) -> pp(aa_TPTP_ind_bool(scratc1359222437_nat_p,X0)))) # label(fact_omega__nat__p) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 201 (all X0 (gg_TPTP_ind(X0) -> (pp(aa_TPTP_ind_bool(scratc1359222437_nat_p,X0)) -> X0 = scratc2034222027ptyset | (exists X13 (gg_TPTP_ind(X13) & pp(aa_TPTP_ind_bool(scratc1359222437_nat_p,X13)) & X0 = aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,X13)))))) # label(fact_nat__inv) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 202 (all X0 (pp(aa_TPTP_ind_bool(X0,scratc2034222027ptyset)) -> ((all X13 (gg_TPTP_ind(X13) -> (pp(aa_TPTP_ind_bool(scratc1359222437_nat_p,X13)) -> (pp(aa_TPTP_ind_bool(X0,X13)) -> pp(aa_TPTP_ind_bool(X0,aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,X13))))))) -> (all X12 (pp(aa_TPTP_ind_bool(scratc1359222437_nat_p,X12)) -> pp(aa_TPTP_ind_bool(X0,X12))))))) # label(fact_nat__ind) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 203 (all X0 (pp(aa_TPTP_ind_bool(scratc1359222437_nat_p,X0)) -> pp(aa_TPTP_ind_bool(scratc1359222437_nat_p,aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,X0))))) # label(fact_nat__ordsucc) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 204 (all X0 all X12 (gg_TPTP_ind(X0) & gg_TPTP_ind(X12) -> (aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,X0) = aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,X12) -> X0 = X12))) # label(fact_ordsucc__inj) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 205 (all X0 aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,X0) != scratc2034222027ptyset) # label(fact_neq__ordsucc__0) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 206 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X22),aa_fun1431113780TP_ind(scratc343782384_d_Sep(X0),X12))) -> pp(aa_TPTP_ind_bool(X12,X22)))) # label(fact_k__SepE2) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 207 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X22),aa_fun1431113780TP_ind(scratc343782384_d_Sep(X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X22),X0)))) # label(fact_k__SepE1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 208 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X22),X0)) -> (pp(aa_TPTP_ind_bool(X12,X22)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X22),aa_fun1431113780TP_ind(scratc343782384_d_Sep(X0),X12)))))) # label(fact_k__SepI) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 209 (all X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X0),aa_TPTP_ind_TPTP_ind(scratc1388471567_power,X0)))) # label(fact_k__Self__In__Power) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 210 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1186086175d_Subq,X12),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1388471567_power,X0))))) # label(fact_k__PowerI) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 211 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1388471567_power,X0))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1186086175d_Subq,X12),X0)))) # label(fact_k__PowerE) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 212 (all X0 all X12 all X22 (gg_TPTP_ind(X12) & gg_TPTP_ind(X22) -> aa_TPTP_ind_TPTP_ind(scratc310292275bnd_if(X0,X12),X22) = X12 | aa_TPTP_ind_TPTP_ind(scratc310292275bnd_if(X0,X12),X22) = X22)) # label(fact_if__i__or) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 213 (all X0 all X12 all X22 (gg_TPTP_ind(X12) -> (pp(X0) -> aa_TPTP_ind_TPTP_ind(scratc310292275bnd_if(X0,X12),X22) = X12))) # label(fact_if__i__1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 214 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (-pp(X0) -> aa_TPTP_ind_TPTP_ind(scratc310292275bnd_if(X0,X12),X22) = X22))) # label(fact_if__i__0) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 215 (all X0 all X12 all X22 (gg_TPTP_ind(X12) & gg_TPTP_ind(X22) -> pp(X0) & aa_TPTP_ind_TPTP_ind(scratc310292275bnd_if(X0,X12),X22) = X12 | -pp(X0) & aa_TPTP_ind_TPTP_ind(scratc310292275bnd_if(X0,X12),X22) = X22)) # label(fact_if__i__correct) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 216 (all X0 pp(aa_TPTP_ind_bool(scratc92370086closed,aa_TPTP_ind_TPTP_ind(scratc1792279219univof,X0)))) # label(fact_k__UnivOf__ZF__closed) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 217 (all X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X0),aa_TPTP_ind_TPTP_ind(scratc1792279219univof,X0)))) # label(fact_k__UnivOf__In) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 218 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc467904741d_repl,X0),X12))) <-> (exists X3 (gg_TPTP_ind(X3) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X3),X0)) & X22 = aa_TPTP_ind_TPTP_ind(X12,X3)))))) # label(fact_k__ReplEq) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 219 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1388471567_power,X0))) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1186086175d_Subq,X12),X0)))) # label(fact_k__PowerEq) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 220 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1895733433_union,X0))) <-> (exists X2 (gg_TPTP_ind(X2) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X12),X2)) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X2),X0)))))) # label(fact_k__UnionEq) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 221 -(exists X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,X0),scratc2034222027ptyset))) # label(fact_k__EmptyAx) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 222 (all X0 ((all X13 (gg_TPTP_ind(X13) -> ((all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_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].
% 1.25/1.64 223 (all X0 all X12 (gg_TPTP_ind(X0) & gg_TPTP_ind(X12) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1186086175d_Subq,X0),X12)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1186086175d_Subq,X12),X0)) -> X0 = X12)))) # label(fact_set__ext) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 224 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sr,Uu)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1054436418nd_nis,Uu),scratc1589838969nd_n_1)) -> pp(aa_fun171081125l_bool(scratc1917864876n_some,aa_TPT43085870d_bool(aTP_Lamm_ao,Uu)))))) # label(fact_ATP_Olambda__1) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 225 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sq,Uu)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1054436418nd_nis,Uu),scratc1589838969nd_n_1)) -> pp(aa_fun171081125l_bool(scratc799918_n_one,aa_TPT43085870d_bool(aTP_Lamm_ao,Uu)))))) # label(fact_ATP_Olambda__2) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 226 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sn,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),scratc1589838969nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uu))))) # label(fact_ATP_Olambda__3) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 227 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kp,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),scratc1589838969nd_n_1)),Uu)))) # label(fact_ATP_Olambda__4) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 228 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sk,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(scratc1589838969nd_n_1),Uu)),aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uu))))) # label(fact_ATP_Olambda__5) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 229 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_km,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(scratc1589838969nd_n_1),Uu)),Uu)))) # label(fact_ATP_Olambda__6) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 230 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sp,Uu)) <-> pp(aa_fun171081125l_bool(scratc1063025904nd_one(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc794454983d_d_Pi,scratc1053911627nd_nat),aTP_Lamm_ai)),aa_TPT43085870d_bool(aTP_Lamm_so,Uu))))) # label(fact_ATP_Olambda__7) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 231 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kr,Uu)) <-> pp(aa_fun171081125l_bool(scratc1063025904nd_one(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc794454983d_d_Pi,scratc1053911627nd_nat),aTP_Lamm_ai)),aa_TPT43085870d_bool(aTP_Lamm_kq,Uu))))) # label(fact_ATP_Olambda__8) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 232 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sx,Uu)) <-> (pp(aa_TPTP_ind_bool(scratc1532102137_cond1,Uu)) -> (pp(aa_TPTP_ind_bool(scratc1532102138_cond2,Uu)) -> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_sw,Uu))))))) # label(fact_ATP_Olambda__9) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 233 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sh,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),scratc1589838969nd_n_1))))) # label(fact_ATP_Olambda__10) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 234 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_se,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(scratc1589838969nd_n_1),Uu))))) # label(fact_ATP_Olambda__11) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 235 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pe,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uu)),Uu)))) # label(fact_ATP_Olambda__12) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 236 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ss,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1054436418nd_nis,aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uu)),Uu)))) # label(fact_ATP_Olambda__13) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 237 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tb,Uu)) <-> scratc1472578231_is_of(aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uu),aTP_Lamm_ct))) # label(fact_ATP_Olambda__14) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 238 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lj,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uu)),scratc1589838969nd_n_1)))) # label(fact_ATP_Olambda__15) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 239 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ta,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1054436418nd_nis,aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uu)),scratc1589838969nd_n_1)))) # label(fact_ATP_Olambda__16) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 240 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kj,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),scratc1589838969nd_n_1))))) # label(fact_ATP_Olambda__17) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 241 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kg,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(scratc1589838969nd_n_1),Uu))))) # label(fact_ATP_Olambda__18) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 242 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pd,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uu),aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uu))))) # label(fact_ATP_Olambda__19) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 243 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sv,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,Uu),aa_TPTP_ind_TPTP_ind(scratc1388471567_power,scratc1053911627nd_nat))))) # label(fact_ATP_Olambda__20) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 244 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gm,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,Uu),Uu)))) # label(fact_ATP_Olambda__21) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 245 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lk,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,Uu),scratc1589838969nd_n_1)))) # label(fact_ATP_Olambda__22) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 246 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_a,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,Uu),scratc1944692164d_frac)))) # label(fact_ATP_Olambda__23) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 247 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ct,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,Uu),scratc1053911627nd_nat)))) # label(fact_ATP_Olambda__24) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 248 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sz,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_sy,Uu))))) # label(fact_ATP_Olambda__25) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 249 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_su,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_st,Uu))))) # label(fact_ATP_Olambda__26) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 250 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sm,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_sl,Uu))))) # label(fact_ATP_Olambda__27) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 251 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sj,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_si,Uu))))) # label(fact_ATP_Olambda__28) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 252 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sg,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_sf,Uu))))) # label(fact_ATP_Olambda__29) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 253 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sd,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_sc,Uu))))) # label(fact_ATP_Olambda__30) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 254 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sb,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_sa,Uu))))) # label(fact_ATP_Olambda__31) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 255 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ry,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_rx,Uu))))) # label(fact_ATP_Olambda__32) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 256 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rw,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_rv,Uu))))) # label(fact_ATP_Olambda__33) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 257 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ru,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_rt,Uu))))) # label(fact_ATP_Olambda__34) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 258 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rr,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_rq,Uu))))) # label(fact_ATP_Olambda__35) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 259 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ro,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_rn,Uu))))) # label(fact_ATP_Olambda__36) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 260 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rm,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_rl,Uu))))) # label(fact_ATP_Olambda__37) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 261 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ri,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_rh,Uu))))) # label(fact_ATP_Olambda__38) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 262 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rg,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_rf,Uu))))) # label(fact_ATP_Olambda__39) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 263 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_re,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_rd,Uu))))) # label(fact_ATP_Olambda__40) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 264 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rc,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_rb,Uu))))) # label(fact_ATP_Olambda__41) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 265 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ra,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_qz,Uu))))) # label(fact_ATP_Olambda__42) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 266 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qy,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_qx,Uu))))) # label(fact_ATP_Olambda__43) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 267 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qw,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_qv,Uu))))) # label(fact_ATP_Olambda__44) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 268 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qu,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_qt,Uu))))) # label(fact_ATP_Olambda__45) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 269 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qs,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_qr,Uu))))) # label(fact_ATP_Olambda__46) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 270 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qq,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_qp,Uu))))) # label(fact_ATP_Olambda__47) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 271 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qo,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_qn,Uu))))) # label(fact_ATP_Olambda__48) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 272 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qm,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ql,Uu))))) # label(fact_ATP_Olambda__49) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 273 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qk,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_qj,Uu))))) # label(fact_ATP_Olambda__50) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 274 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qi,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_qh,Uu))))) # label(fact_ATP_Olambda__51) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 275 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qg,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_qf,Uu))))) # label(fact_ATP_Olambda__52) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 276 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qe,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_qd,Uu))))) # label(fact_ATP_Olambda__53) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 277 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qc,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_qb,Uu))))) # label(fact_ATP_Olambda__54) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 278 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qa,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_pz,Uu))))) # label(fact_ATP_Olambda__55) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 279 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_px,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_pw,Uu))))) # label(fact_ATP_Olambda__56) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 280 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pu,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_pt,Uu))))) # label(fact_ATP_Olambda__57) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 281 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pr,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_pq,Uu))))) # label(fact_ATP_Olambda__58) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 282 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_po,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_pn,Uu))))) # label(fact_ATP_Olambda__59) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 283 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pl,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_pk,Uu))))) # label(fact_ATP_Olambda__60) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 284 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pi,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ph,Uu))))) # label(fact_ATP_Olambda__61) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 285 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pg,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_pf,Uu))))) # label(fact_ATP_Olambda__62) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 286 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pc,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_pb,Uu))))) # label(fact_ATP_Olambda__63) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 287 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oz,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_oy,Uu))))) # label(fact_ATP_Olambda__64) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 288 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ow,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ov,Uu))))) # label(fact_ATP_Olambda__65) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 289 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ot,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_os,Uu))))) # label(fact_ATP_Olambda__66) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 290 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oq,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_op,Uu))))) # label(fact_ATP_Olambda__67) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 291 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_on,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_om,Uu))))) # label(fact_ATP_Olambda__68) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 292 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ok,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_oj,Uu))))) # label(fact_ATP_Olambda__69) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 293 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_og,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_of,Uu))))) # label(fact_ATP_Olambda__70) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 294 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oc,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ob,Uu))))) # label(fact_ATP_Olambda__71) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 295 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ny,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_nx,Uu))))) # label(fact_ATP_Olambda__72) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 296 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nu,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_nt,Uu))))) # label(fact_ATP_Olambda__73) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 297 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nr,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_nq,Uu))))) # label(fact_ATP_Olambda__74) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 298 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_no,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_nn,Uu))))) # label(fact_ATP_Olambda__75) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 299 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nl,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_nk,Uu))))) # label(fact_ATP_Olambda__76) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 300 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ni,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_nh,Uu))))) # label(fact_ATP_Olambda__77) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 301 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nf,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ne,Uu))))) # label(fact_ATP_Olambda__78) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 302 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nc,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_nb,Uu))))) # label(fact_ATP_Olambda__79) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 303 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mz,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_my,Uu))))) # label(fact_ATP_Olambda__80) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 304 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mw,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_mv,Uu))))) # label(fact_ATP_Olambda__81) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 305 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mt,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ms,Uu))))) # label(fact_ATP_Olambda__82) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 306 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mq,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_mp,Uu))))) # label(fact_ATP_Olambda__83) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 307 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mm,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ml,Uu))))) # label(fact_ATP_Olambda__84) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 308 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mi,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_mh,Uu))))) # label(fact_ATP_Olambda__85) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 309 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_me,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_md,Uu))))) # label(fact_ATP_Olambda__86) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 310 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ma,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_lz,Uu))))) # label(fact_ATP_Olambda__87) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 311 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lw,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_lv,Uu))))) # label(fact_ATP_Olambda__88) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 312 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ls,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_lr,Uu))))) # label(fact_ATP_Olambda__89) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 313 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lo,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ln,Uu))))) # label(fact_ATP_Olambda__90) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 314 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lh,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_lg,Uu))))) # label(fact_ATP_Olambda__91) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 315 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lf,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_le,Uu))))) # label(fact_ATP_Olambda__92) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 316 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ld,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_lc,Uu))))) # label(fact_ATP_Olambda__93) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 317 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lb,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_la,Uu))))) # label(fact_ATP_Olambda__94) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 318 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kz,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ky,Uu))))) # label(fact_ATP_Olambda__95) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 319 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kx,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_kw,Uu))))) # label(fact_ATP_Olambda__96) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 320 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kv,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ku,Uu))))) # label(fact_ATP_Olambda__97) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 321 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kt,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ks,Uu))))) # label(fact_ATP_Olambda__98) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 322 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ko,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_kn,Uu))))) # label(fact_ATP_Olambda__99) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 323 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kl,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_kk,Uu))))) # label(fact_ATP_Olambda__100) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 324 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ki,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_kh,Uu))))) # label(fact_ATP_Olambda__101) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 325 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kf,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ke,Uu))))) # label(fact_ATP_Olambda__102) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 326 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kd,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_kc,Uu))))) # label(fact_ATP_Olambda__103) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 327 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kb,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ka,Uu))))) # label(fact_ATP_Olambda__104) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 328 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jy,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jx,Uu))))) # label(fact_ATP_Olambda__105) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 329 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jv,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ju,Uu))))) # label(fact_ATP_Olambda__106) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 330 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_js,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jr,Uu))))) # label(fact_ATP_Olambda__107) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 331 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jp,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jo,Uu))))) # label(fact_ATP_Olambda__108) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 332 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jm,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jl,Uu))))) # label(fact_ATP_Olambda__109) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 333 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jj,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ji,Uu))))) # label(fact_ATP_Olambda__110) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 334 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jg,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jf,Uu))))) # label(fact_ATP_Olambda__111) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 335 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jd,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jc,Uu))))) # label(fact_ATP_Olambda__112) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 336 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_iz,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_iy,Uu))))) # label(fact_ATP_Olambda__113) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 337 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_iv,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_iu,Uu))))) # label(fact_ATP_Olambda__114) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 338 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ir,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_iq,Uu))))) # label(fact_ATP_Olambda__115) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 339 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_in,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_im,Uu))))) # label(fact_ATP_Olambda__116) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 340 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ik,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ij,Uu))))) # label(fact_ATP_Olambda__117) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 341 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ih,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ig,Uu))))) # label(fact_ATP_Olambda__118) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 342 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ie,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_id,Uu))))) # label(fact_ATP_Olambda__119) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 343 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ib,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ia,Uu))))) # label(fact_ATP_Olambda__120) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 344 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hy,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_hx,Uu))))) # label(fact_ATP_Olambda__121) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 345 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hv,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_hu,Uu))))) # label(fact_ATP_Olambda__122) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 346 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hs,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_hr,Uu))))) # label(fact_ATP_Olambda__123) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 347 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ho,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_hn,Uu))))) # label(fact_ATP_Olambda__124) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 348 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hk,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_hj,Uu))))) # label(fact_ATP_Olambda__125) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 349 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hg,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_hf,Uu))))) # label(fact_ATP_Olambda__126) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 350 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hc,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_hb,Uu))))) # label(fact_ATP_Olambda__127) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 351 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gy,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_gx,Uu))))) # label(fact_ATP_Olambda__128) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 352 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gu,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_gt,Uu))))) # label(fact_ATP_Olambda__129) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 353 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gq,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_gp,Uu))))) # label(fact_ATP_Olambda__130) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 354 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gg,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_gf,Uu))))) # label(fact_ATP_Olambda__131) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 355 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ge,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_gd,Uu))))) # label(fact_ATP_Olambda__132) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 356 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gc,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_gb,Uu))))) # label(fact_ATP_Olambda__133) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 357 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fz,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_fy,Uu))))) # label(fact_ATP_Olambda__134) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 358 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cz,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_cy,Uu))))) # label(fact_ATP_Olambda__135) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 359 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cw,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_cv,Uu))))) # label(fact_ATP_Olambda__136) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 360 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gl,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gk,Uu))))) # label(fact_ATP_Olambda__137) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 361 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gj,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gi,Uu))))) # label(fact_ATP_Olambda__138) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 362 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fw,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fv,Uu))))) # label(fact_ATP_Olambda__139) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 363 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fu,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ft,Uu))))) # label(fact_ATP_Olambda__140) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 364 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fs,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fr,Uu))))) # label(fact_ATP_Olambda__141) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 365 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fq,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fp,Uu))))) # label(fact_ATP_Olambda__142) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 366 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fo,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fn,Uu))))) # label(fact_ATP_Olambda__143) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 367 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fm,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fl,Uu))))) # label(fact_ATP_Olambda__144) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 368 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fi,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fh,Uu))))) # label(fact_ATP_Olambda__145) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 369 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fe,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fd,Uu))))) # label(fact_ATP_Olambda__146) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 370 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fc,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fb,Uu))))) # label(fact_ATP_Olambda__147) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 371 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fa,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ez,Uu))))) # label(fact_ATP_Olambda__148) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 372 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ey,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ex,Uu))))) # label(fact_ATP_Olambda__149) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 373 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ew,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ev,Uu))))) # label(fact_ATP_Olambda__150) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 374 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_eu,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_et,Uu))))) # label(fact_ATP_Olambda__151) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 375 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_es,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_er,Uu))))) # label(fact_ATP_Olambda__152) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 376 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_eq,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ep,Uu))))) # label(fact_ATP_Olambda__153) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 377 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_eo,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_en,Uu))))) # label(fact_ATP_Olambda__154) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 378 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ek,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ej,Uu))))) # label(fact_ATP_Olambda__155) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 379 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_eg,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ef,Uu))))) # label(fact_ATP_Olambda__156) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 380 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ee,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ed,Uu))))) # label(fact_ATP_Olambda__157) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 381 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ec,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_eb,Uu))))) # label(fact_ATP_Olambda__158) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 382 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dz,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dy,Uu))))) # label(fact_ATP_Olambda__159) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 383 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dw,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dv,Uu))))) # label(fact_ATP_Olambda__160) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 384 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dt,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ds,Uu))))) # label(fact_ATP_Olambda__161) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 385 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dq,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dp,Uu))))) # label(fact_ATP_Olambda__162) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 386 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dn,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dm,Uu))))) # label(fact_ATP_Olambda__163) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 387 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dg,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_df,Uu))))) # label(fact_ATP_Olambda__164) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 388 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dd,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dc,Uu))))) # label(fact_ATP_Olambda__165) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 389 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cs,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cr,Uu))))) # label(fact_ATP_Olambda__166) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 390 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cq,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cp,Uu))))) # label(fact_ATP_Olambda__167) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 391 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cn,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cm,Uu))))) # label(fact_ATP_Olambda__168) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 392 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cl,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ck,Uu))))) # label(fact_ATP_Olambda__169) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 393 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cj,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ci,Uu))))) # label(fact_ATP_Olambda__170) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 394 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cg,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,Uu))))) # label(fact_ATP_Olambda__171) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 395 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cd,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cc,Uu))))) # label(fact_ATP_Olambda__172) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 396 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ca,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bz,Uu))))) # label(fact_ATP_Olambda__173) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 397 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ac,Uu)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,Uu))))) # label(fact_ATP_Olambda__174) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 398 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1174040234l_some(scratc1944692164d_frac),aa_TPT43085870d_bool(aTP_Lamm_dj,Uu))))) # label(fact_ATP_Olambda__175) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 399 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_di,Uu)) <-> pp(aa_fun171081125l_bool(scratc1174040234l_some(scratc1944692164d_frac),aa_TPT43085870d_bool(aTP_Lamm_dh,Uu))))) # label(fact_ATP_Olambda__176) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 400 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_li,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,scratc1589838969nd_n_1),aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uu))))) # label(fact_ATP_Olambda__177) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 401 (all Uu aa_TPT494704832TP_ind(aTP_Lamm_bs,Uu) = aa_TPT494704832TP_ind(scratc467904741d_repl,aa_TPTP_ind_TPTP_ind(scratc1162321572tminus(Uu),aa_TPTP_ind_TPTP_ind(scratc1087735293d_Sing,scratc2034222027ptyset)))) # label(fact_ATP_Olambda__178) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 402 (all Uu (gg_TPTP_ind(Uu) -> (pp(aa_TPTP_ind_bool(aTP_Lamm_aq,Uu)) <-> Uu != scratc2034222027ptyset))) # label(fact_ATP_Olambda__179) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 403 (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(scratc1912842970d_Inj1,X2) = Uu))))) # label(fact_ATP_Olambda__180) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 404 (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(scratc1912842969d_Inj0,X2) = Uu))))) # label(fact_ATP_Olambda__181) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 405 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rd,Uu),Uua)) <-> scratc294346876_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uu),Uua)))) # label(fact_ATP_Olambda__182) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 406 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fv,Uu),Uua)) <-> scratc294346876_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954811_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,Uu),Uua)))) # label(fact_ATP_Olambda__183) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 407 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rb,Uu),Uua)) <-> pp(scratc1063288250nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__184) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 408 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ft,Uu),Uua)) <-> pp(scratc1063288250nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954811_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__185) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 409 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qz,Uu),Uua)) <-> pp(scratc979689215nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__186) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 410 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fr,Uu),Uua)) <-> pp(scratc979689215nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954811_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__187) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 411 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rl,Uu),Uua)) <-> scratc294346876_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc1917864876n_some,aa_TPT43085870d_bool(aTP_Lamm_rj(Uu),Uua)),aa_fun171081125l_bool(scratc1917864876n_some,aa_TPT43085870d_bool(aTP_Lamm_rk(Uu),Uua))))) # label(fact_ATP_Olambda__188) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 412 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rh,Uu),Uua)) <-> pp(scratc1063288250nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc1917864876n_some,aa_TPT43085870d_bool(scratc1168635326ffprop(Uu),Uua)),aa_fun171081125l_bool(scratc1917864876n_some,aa_TPT43085870d_bool(scratc1168635326ffprop(Uua),Uu)))))) # label(fact_ATP_Olambda__189) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 413 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rf,Uu),Uua)) <-> pp(scratc979689215nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc1917864876n_some,aa_TPT43085870d_bool(scratc1168635326ffprop(Uu),Uua)),aa_fun171081125l_bool(scratc1917864876n_some,aa_TPT43085870d_bool(scratc1168635326ffprop(Uua),Uu)))))) # label(fact_ATP_Olambda__190) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 414 (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(scratc1935659257d_e_is(Uu),Uua),Uua)))) # label(fact_ATP_Olambda__191) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 415 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gd,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1454122820d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1055223600nd_num,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(aa_TPTP_ind_TPTP_ind(scratc971558967nd_den,Uu)),Uua))),Uu)))) # label(fact_ATP_Olambda__192) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 416 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ke,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uua)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uu)),Uua))))) # label(fact_ATP_Olambda__193) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 417 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kh,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uua)),Uu)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uua)))))) # label(fact_ATP_Olambda__194) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 418 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_so,Uu),Uua)) <-> pp(scratc460033833_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,Uua),scratc1589838969nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uu)),aa_fun171081125l_bool(scratc2032491305_n_all,aa_TPT43085870d_bool(aTP_Lamm_an,Uua)))))) # label(fact_ATP_Olambda__195) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 419 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ku,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uua),scratc1589838969nd_n_1)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,Uua),Uu))))) # label(fact_ATP_Olambda__196) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 420 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kq,Uu),Uua)) <-> pp(scratc460033833_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,Uua),scratc1589838969nd_n_1)),Uu),aa_fun171081125l_bool(scratc2032491305_n_all,aa_TPT43085870d_bool(aTP_Lamm_al(Uu),Uua)))))) # label(fact_ATP_Olambda__197) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 421 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sy,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__198) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 422 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kk,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uua)),Uua))))) # label(fact_ATP_Olambda__199) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.64 423 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ks,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uua)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,Uua),Uu))))) # label(fact_ATP_Olambda__200) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 424 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_si,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uua)))))) # label(fact_ATP_Olambda__201) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 425 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ky,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uua),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),scratc1589838969nd_n_1))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,Uua),Uu))))) # label(fact_ATP_Olambda__202) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 426 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kn,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uua)),Uu))))) # label(fact_ATP_Olambda__203) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 427 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kw,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uua),aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uu))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,Uua),Uu))))) # label(fact_ATP_Olambda__204) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 428 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sl,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uua)))))) # label(fact_ATP_Olambda__205) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 429 (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(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,Uu),aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,Uu),Uua)))))) # label(fact_ATP_Olambda__206) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 430 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lc,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uua),scratc1589838969nd_n_1)),Uu))))) # label(fact_ATP_Olambda__207) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 431 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_st,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1054436418nd_nis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1054436418nd_nis,aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uua)))))) # label(fact_ATP_Olambda__208) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 432 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ap,Uu),Uua)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1013391286nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319613d_n_in,Uua),Uu)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319613d_n_in,aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uua)),Uu))))) # label(fact_ATP_Olambda__209) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 433 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_la,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uua)),Uu))))) # label(fact_ATP_Olambda__210) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 434 (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(scratc1266704693_29_ii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,Uua),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),scratc1589838969nd_n_1)))))) # label(fact_ATP_Olambda__211) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 435 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_le,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,Uua),aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uu)))))) # label(fact_ATP_Olambda__212) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 436 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kc,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uua),Uu))))) # label(fact_ATP_Olambda__213) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 437 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rx,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uua),Uu))))) # label(fact_ATP_Olambda__214) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 438 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cr,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(Uua),Uu))))) # label(fact_ATP_Olambda__215) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 439 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qx,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uua),Uu))))) # label(fact_ATP_Olambda__216) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 440 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qt,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,Uua),Uu))))) # label(fact_ATP_Olambda__217) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 441 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qr,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,Uua),Uu))))) # label(fact_ATP_Olambda__218) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 442 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ed,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263534331lesseq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954822_moreq,Uua),Uu))))) # label(fact_ATP_Olambda__219) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 443 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ef,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954822_moreq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263534331lesseq,Uua),Uu))))) # label(fact_ATP_Olambda__220) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 444 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fp,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954811_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,Uua),Uu))))) # label(fact_ATP_Olambda__221) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 445 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fn,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954811_moref,Uua),Uu))))) # label(fact_ATP_Olambda__222) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 446 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gk,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,Uua),Uu))))) # label(fact_ATP_Olambda__223) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 447 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qv,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uua),Uu))))) # label(fact_ATP_Olambda__224) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 448 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,Uu),Uua)) -> pp(aa_fun171081125l_bool(scratc1174040234l_some(scratc1944692164d_frac),aa_TPT43085870d_bool(aTP_Lamm_de(Uu),Uua)))))) # label(fact_ATP_Olambda__225) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 449 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qh,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uu),Uua)) -> pp(scratc567499013_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,Uu),Uua)))))) # label(fact_ATP_Olambda__226) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 450 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qp,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,Uu),Uua)) -> pp(scratc567499013_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uu),Uua)))))) # label(fact_ATP_Olambda__227) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 451 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qn,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,Uu),Uua)) -> pp(scratc567499013_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uu),Uua)))))) # label(fact_ATP_Olambda__228) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 452 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fb,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263534331lesseq,Uu),Uua)) -> pp(scratc567499013_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954811_moref,Uu),Uua)))))) # label(fact_ATP_Olambda__229) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 453 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fd,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954822_moreq,Uu),Uua)) -> pp(scratc567499013_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,Uu),Uua)))))) # label(fact_ATP_Olambda__230) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 454 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ev,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954811_moref,Uu),Uua)) -> pp(scratc567499013_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263534331lesseq,Uu),Uua)))))) # label(fact_ATP_Olambda__231) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 455 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_et,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,Uu),Uua)) -> pp(scratc567499013_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954822_moreq,Uu),Uua)))))) # label(fact_ATP_Olambda__232) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 456 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qf,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uu),Uua)) -> pp(scratc567499013_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,Uu),Uua)))))) # label(fact_ATP_Olambda__233) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 457 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ph,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uua)),Uu)))) # label(fact_ATP_Olambda__234) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 458 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cm,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954811_moref,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(Uu),Uua)),Uu)))) # label(fact_ATP_Olambda__235) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 459 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_aj(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,Uu),Uua)),Uua)) # label(fact_ATP_Olambda__236) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 460 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_bp(Uu),Uua) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc467904741d_repl,aa_TPTP_ind_TPTP_ind(Uu,Uua)),aa_TPT1424761345TP_ind(scratc1020708784d_pair,Uua))) # label(fact_ATP_Olambda__237) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 461 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_te,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aa_TPT43085870d_bool(aTP_Lamm_tc,Uu)),aa_TPT43085870d_bool(aTP_Lamm_td(Uu),Uua))))) # label(fact_ATP_Olambda__238) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 462 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sc,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uua))),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uu)),Uua))))) # label(fact_ATP_Olambda__239) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 463 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sf,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uua))),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uua)))))) # label(fact_ATP_Olambda__240) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 464 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ql,Uu),Uua)) <-> (pp(scratc567499013_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,Uu),Uua))))) # label(fact_ATP_Olambda__241) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 465 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qd,Uu),Uua)) <-> (pp(scratc567499013_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__242) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 466 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qb,Uu),Uua)) <-> (pp(scratc567499013_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__243) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 467 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ep,Uu),Uua)) <-> (pp(scratc567499013_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263534331lesseq,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954811_moref,Uu),Uua))))) # label(fact_ATP_Olambda__244) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 468 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_er,Uu),Uua)) <-> (pp(scratc567499013_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954822_moreq,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__245) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 469 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ez,Uu),Uua)) <-> (pp(scratc567499013_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954811_moref,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263534331lesseq,Uu),Uua))))) # label(fact_ATP_Olambda__246) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 470 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ex,Uu),Uua)) <-> (pp(scratc567499013_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954822_moreq,Uu),Uua))))) # label(fact_ATP_Olambda__247) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 471 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qj,Uu),Uua)) <-> (pp(scratc567499013_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,Uu),Uua))))) # label(fact_ATP_Olambda__248) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 472 (all Uu all Uua aa_fun277296641TP_ind(aa_TPT494704832TP_ind(aTP_Lamm_bt,Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1246036030nunion(aa_TPTP_ind_TPTP_ind(scratc1087735293d_Sing,scratc2034222027ptyset)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc467904741d_repl,Uu),Uua))) # label(fact_ATP_Olambda__249) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 473 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gf,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,Uu),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1454122820d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1055223600nd_num,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(aa_TPTP_ind_TPTP_ind(scratc971558967nd_den,Uu)),Uua)))))) # label(fact_ATP_Olambda__250) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 474 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ck,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,Uu),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(Uu),Uua))))) # label(fact_ATP_Olambda__251) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 475 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rv,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1054436418nd_nis,Uua),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uua))))) # label(fact_ATP_Olambda__252) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 476 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pf,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uu),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uua))))) # label(fact_ATP_Olambda__253) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 477 (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(scratc1454319618d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uua))))) # label(fact_ATP_Olambda__254) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 478 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tc,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,Uua),aa_TPTP_ind_TPTP_ind(scratc1388471567_power,Uu))))) # label(fact_ATP_Olambda__255) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 479 (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(scratc263796729lessis,Uua),Uu)))) # label(fact_ATP_Olambda__256) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 480 (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(scratc75954811_moref,Uua),Uu)))) # label(fact_ATP_Olambda__257) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 481 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dh,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,Uua),Uu)))) # label(fact_ATP_Olambda__258) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 482 (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(scratc1454319613d_n_in,Uua),Uu)))) # label(fact_ATP_Olambda__259) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 483 (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(scratc1052337245nd_nIn,Uua),Uu)))) # label(fact_ATP_Olambda__260) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 484 (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(scratc310292283bnd_in,Uua),Uu)))) # label(fact_ATP_Olambda__261) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 485 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sa,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_rz(Uu),Uua))))) # label(fact_ATP_Olambda__262) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 486 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_rs(Uu),Uua))))) # label(fact_ATP_Olambda__263) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 487 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_rp(Uu),Uua))))) # label(fact_ATP_Olambda__264) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 488 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_py(Uu),Uua))))) # label(fact_ATP_Olambda__265) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 489 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_pv(Uu),Uua))))) # label(fact_ATP_Olambda__266) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 490 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ps(Uu),Uua))))) # label(fact_ATP_Olambda__267) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 491 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_pp(Uu),Uua))))) # label(fact_ATP_Olambda__268) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 492 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_pm(Uu),Uua))))) # label(fact_ATP_Olambda__269) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 493 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_pj(Uu),Uua))))) # label(fact_ATP_Olambda__270) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 494 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_pa(Uu),Uua))))) # label(fact_ATP_Olambda__271) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 495 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ox(Uu),Uua))))) # label(fact_ATP_Olambda__272) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 496 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ov,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ou(Uu),Uua))))) # label(fact_ATP_Olambda__273) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 497 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_os,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_or(Uu),Uua))))) # label(fact_ATP_Olambda__274) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 498 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_op,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_oo(Uu),Uua))))) # label(fact_ATP_Olambda__275) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 499 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_om,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ol(Uu),Uua))))) # label(fact_ATP_Olambda__276) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 500 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_oi(Uu),Uua))))) # label(fact_ATP_Olambda__277) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 501 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_of,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_oe(Uu),Uua))))) # label(fact_ATP_Olambda__278) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 502 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ob,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_oa(Uu),Uua))))) # label(fact_ATP_Olambda__279) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 503 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_nw(Uu),Uua))))) # label(fact_ATP_Olambda__280) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 504 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ns(Uu),Uua))))) # label(fact_ATP_Olambda__281) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 505 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_np(Uu),Uua))))) # label(fact_ATP_Olambda__282) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 506 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_nm(Uu),Uua))))) # label(fact_ATP_Olambda__283) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 507 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_nj(Uu),Uua))))) # label(fact_ATP_Olambda__284) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 508 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ng(Uu),Uua))))) # label(fact_ATP_Olambda__285) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 509 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ne,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_nd(Uu),Uua))))) # label(fact_ATP_Olambda__286) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 510 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_na(Uu),Uua))))) # label(fact_ATP_Olambda__287) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 511 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_my,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_mx(Uu),Uua))))) # label(fact_ATP_Olambda__288) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 512 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_mu(Uu),Uua))))) # label(fact_ATP_Olambda__289) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 513 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ms,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_mr(Uu),Uua))))) # label(fact_ATP_Olambda__290) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 514 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_mo(Uu),Uua))))) # label(fact_ATP_Olambda__291) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 515 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ml,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_mk(Uu),Uua))))) # label(fact_ATP_Olambda__292) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 516 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_mg(Uu),Uua))))) # label(fact_ATP_Olambda__293) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 517 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_md,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_mc(Uu),Uua))))) # label(fact_ATP_Olambda__294) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 518 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ly(Uu),Uua))))) # label(fact_ATP_Olambda__295) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 519 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_lu(Uu),Uua))))) # label(fact_ATP_Olambda__296) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 520 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_lq(Uu),Uua))))) # label(fact_ATP_Olambda__297) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 521 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ln,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_lm(Uu),Uua))))) # label(fact_ATP_Olambda__298) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 522 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ka,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jz(Uu),Uua))))) # label(fact_ATP_Olambda__299) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 523 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jw(Uu),Uua))))) # label(fact_ATP_Olambda__300) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 524 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ju,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jt(Uu),Uua))))) # label(fact_ATP_Olambda__301) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 525 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jq(Uu),Uua))))) # label(fact_ATP_Olambda__302) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 526 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jo,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jn(Uu),Uua))))) # label(fact_ATP_Olambda__303) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 527 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jk(Uu),Uua))))) # label(fact_ATP_Olambda__304) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 528 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ji,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jh(Uu),Uua))))) # label(fact_ATP_Olambda__305) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 529 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_je(Uu),Uua))))) # label(fact_ATP_Olambda__306) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 530 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_jb(Uu),Uua))))) # label(fact_ATP_Olambda__307) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 531 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ix(Uu),Uua))))) # label(fact_ATP_Olambda__308) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 532 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_it(Uu),Uua))))) # label(fact_ATP_Olambda__309) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 533 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ip(Uu),Uua))))) # label(fact_ATP_Olambda__310) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 534 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_im,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_il(Uu),Uua))))) # label(fact_ATP_Olambda__311) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 535 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ij,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ii(Uu),Uua))))) # label(fact_ATP_Olambda__312) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 536 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ig,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_if(Uu),Uua))))) # label(fact_ATP_Olambda__313) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 537 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_id,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ic(Uu),Uua))))) # label(fact_ATP_Olambda__314) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 538 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ia,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_hz(Uu),Uua))))) # label(fact_ATP_Olambda__315) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 539 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_hw(Uu),Uua))))) # label(fact_ATP_Olambda__316) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 540 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ht(Uu),Uua))))) # label(fact_ATP_Olambda__317) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 541 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_hq(Uu),Uua))))) # label(fact_ATP_Olambda__318) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 542 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_hm(Uu),Uua))))) # label(fact_ATP_Olambda__319) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 543 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_hi(Uu),Uua))))) # label(fact_ATP_Olambda__320) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 544 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_he(Uu),Uua))))) # label(fact_ATP_Olambda__321) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 545 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ha(Uu),Uua))))) # label(fact_ATP_Olambda__322) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 546 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_gw(Uu),Uua))))) # label(fact_ATP_Olambda__323) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 547 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_gs(Uu),Uua))))) # label(fact_ATP_Olambda__324) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 548 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_go(Uu),Uua))))) # label(fact_ATP_Olambda__325) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 549 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_ga(Uu),Uua))))) # label(fact_ATP_Olambda__326) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 550 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_fx(Uu),Uua))))) # label(fact_ATP_Olambda__327) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 551 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_cx(Uu),Uua))))) # label(fact_ATP_Olambda__328) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 552 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aTP_Lamm_cu(Uu),Uua))))) # label(fact_ATP_Olambda__329) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 553 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gi,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gh(Uu),Uua))))) # label(fact_ATP_Olambda__330) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 554 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fk(Uu),Uua))))) # label(fact_ATP_Olambda__331) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 555 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fg(Uu),Uua))))) # label(fact_ATP_Olambda__332) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 556 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_en,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_em(Uu),Uua))))) # label(fact_ATP_Olambda__333) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 557 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ej,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ei(Uu),Uua))))) # label(fact_ATP_Olambda__334) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 558 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ea(Uu),Uua))))) # label(fact_ATP_Olambda__335) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 559 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dx(Uu),Uua))))) # label(fact_ATP_Olambda__336) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 560 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_du(Uu),Uua))))) # label(fact_ATP_Olambda__337) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 561 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ds,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dr(Uu),Uua))))) # label(fact_ATP_Olambda__338) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 562 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_do(Uu),Uua))))) # label(fact_ATP_Olambda__339) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 563 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dl(Uu),Uua))))) # label(fact_ATP_Olambda__340) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 564 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_db(Uu),Uua))))) # label(fact_ATP_Olambda__341) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 565 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_co(Uu),Uua))))) # label(fact_ATP_Olambda__342) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 566 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ci,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ch(Uu),Uua))))) # label(fact_ATP_Olambda__343) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 567 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ce(Uu),Uua))))) # label(fact_ATP_Olambda__344) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 568 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb(Uu),Uua))))) # label(fact_ATP_Olambda__345) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 569 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by(Uu),Uua))))) # label(fact_ATP_Olambda__346) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 570 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(Uu),Uua))))) # label(fact_ATP_Olambda__347) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 571 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rn,Uu),Uua)) <-> pp(scratc1995684004_amone(scratc1053911627nd_nat,aa_TPT43085870d_bool(aTP_Lamm_rj(Uu),Uua))))) # label(fact_ATP_Olambda__348) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 572 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_am(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,Uu),Uua))) # label(fact_ATP_Olambda__349) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 573 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_bm(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1895733433_union,aa_TPTP_ind_TPTP_ind(Uu,Uua))) # label(fact_ATP_Olambda__350) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 574 (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(scratc1020708784d_pair,Uu),X3)))))) # label(fact_ATP_Olambda__351) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 575 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tm(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1935659257d_e_is(aa_TPTP_ind_TPTP_ind(scratc779928451etprod(Uu),Uua)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc36023912d_pair(Uu,Uua),aa_TPTP_ind_TPTP_ind(scratc301301882_first(Uu,Uua),Uub)),aa_TPTP_ind_TPTP_ind(scratc1083152362second(Uu,Uua),Uub))),Uub)))) # label(fact_ATP_Olambda__352) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 576 (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(scratc310292275bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,scratc2034222027ptyset),Uub),Uu),Uua)) # label(fact_ATP_Olambda__353) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 577 (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(scratc310292275bnd_if(aa_TPTP_ind_bool(Uua,Uub),Uub),scratc980542066nd_eps(aa_fun1584354236d_bool(aTP_Lamm_bj(Uu),Uua)))) # label(fact_ATP_Olambda__354) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 578 (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(scratc1173612857d_esti(Uu),Uub),Uua)))) # label(fact_ATP_Olambda__355) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 579 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_tf(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173612857d_esti(Uu),Uub),aa_fun1431113780TP_ind(scratc343782384_d_Sep(Uu),Uua))) -> pp(aa_TPTP_ind_bool(Uua,Uub))))) # label(fact_ATP_Olambda__356) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 580 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_td(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2106055300d_incl(Uu),Uua),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2106055300d_incl(Uu),Uub),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1935659257d_e_is(aa_TPTP_ind_TPTP_ind(scratc1388471567_power,Uu)),Uua),Uub)))))) # label(fact_ATP_Olambda__357) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 581 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tn(Uu),Uua),Uub)) <-> scratc1472578231_is_of(aa_TPTP_ind_TPTP_ind(scratc1083152362second(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_ar,Uua)))) # label(fact_ATP_Olambda__358) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 582 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_to(Uu),Uua),Uub)) <-> scratc1472578231_is_of(aa_TPTP_ind_TPTP_ind(scratc301301882_first(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)))) # label(fact_ATP_Olambda__359) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 583 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_tu(Uu),Uua),Uub)) <-> scratc1472578231_is_of(aa_TPTP_ind_TPTP_ind(scratc1935659252d_e_in(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)))) # label(fact_ATP_Olambda__360) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 584 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ty(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aa_TPT43085870d_bool(aTP_Lamm_tv(Uu),Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tx(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__361) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 585 (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(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1454122820d_n_fr,Uu),Uub)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1454122820d_n_fr,Uua),Uub))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1454122820d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uua)),Uub))))) # label(fact_ATP_Olambda__362) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 586 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fx(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1454122820d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uua),Uub))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1454122820d_n_fr,Uu),Uua))))) # label(fact_ATP_Olambda__363) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 587 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hz(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__364) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 588 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ng(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__365) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 589 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mx(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__366) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 590 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hw(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__367) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 591 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rp(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,Uua),Uub))))) # label(fact_ATP_Olambda__368) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 592 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nd(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__369) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 593 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mu(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__370) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 594 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ht(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__371) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 595 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_na(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__372) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 596 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mr(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__373) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 597 (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(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1454122820d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1454122820d_n_fr,Uu),Uub)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1454122820d_n_fr,Uua),Uub)))))) # label(fact_ATP_Olambda__374) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 598 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jw(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__375) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 599 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rz(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__376) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 600 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_co(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(Uu),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__377) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 601 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jz(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uua),Uub))),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uub)))))) # label(fact_ATP_Olambda__378) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 602 (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(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(scratc1146005357rdsucc,Uub))),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,Uua),Uub)),Uu))))) # label(fact_ATP_Olambda__379) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 603 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ga(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1454122820d_n_fr,Uu),Uua)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1454122820d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__380) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 604 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jt(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__381) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 605 (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(scratc1266704693_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__382) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 606 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pa(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__383) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 607 (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(scratc1266704693_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__384) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 608 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pm(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uu),Uub)))))) # label(fact_ATP_Olambda__385) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 609 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_il(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__386) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 610 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ii(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__387) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 611 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ns(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__388) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 612 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_np(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__389) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 613 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pp(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uu),Uub)))))) # label(fact_ATP_Olambda__390) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 614 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_if(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__391) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 615 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ic(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__392) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 616 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nm(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__393) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 617 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nj(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__394) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 618 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pj(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,Uu),Uub)))))) # label(fact_ATP_Olambda__395) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 619 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pv(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__396) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 620 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dl(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263534331lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263534331lesseq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263534331lesseq,Uu),Uub)))))) # label(fact_ATP_Olambda__397) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 621 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dx(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263534331lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__398) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 622 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dr(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954822_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954811_moref,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954811_moref,Uu),Uub)))))) # label(fact_ATP_Olambda__399) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 623 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ch(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954811_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954811_moref,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__400) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 624 (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(scratc75954811_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954811_moref,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(Uub),Uua)))))) # label(fact_ATP_Olambda__401) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 625 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_do(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954811_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954822_moreq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954811_moref,Uu),Uub)))))) # label(fact_ATP_Olambda__402) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 626 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__403) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 627 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_du(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263534331lesseq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__404) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 628 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ea(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__405) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 629 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__406) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 630 (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(scratc1454319618d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__407) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 631 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ox(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__408) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 632 (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(scratc1454319618d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__409) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 633 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ce(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__410) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 634 (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(scratc1454057220d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(Uub),Uua)))))) # label(fact_ATP_Olambda__411) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 635 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gh(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,Uu),Uub)))))) # label(fact_ATP_Olambda__412) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 636 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rs(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1054436418nd_nis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1054436418nd_nis,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uub)))))) # label(fact_ATP_Olambda__413) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 637 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jn(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__414) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 638 (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(scratc1013128883nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__415) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.65 639 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ou(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__416) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 640 (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(scratc1013128883nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__417) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 641 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ps(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__418) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 642 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_py(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__419) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 643 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_de(Uu),Uua),Uub)) <-> pp(scratc460033833_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,Uu),Uub),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,Uub),Uua))))) # label(fact_ATP_Olambda__420) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 644 (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(scratc310292283bnd_in,Uub),Uu)) & pp(aa_TPTP_ind_bool(Uua,Uub)))) # label(fact_ATP_Olambda__421) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 645 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_tr(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc258659813_image(aa_fun1431113780TP_ind(scratc343782384_d_Sep(Uu),Uua),Uu),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1998360215_Sigma,aa_fun1431113780TP_ind(scratc343782384_d_Sep(Uu),Uua)),scratc1935659252d_e_in(Uu,Uua))),Uub))))) # label(fact_ATP_Olambda__422) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 646 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_tg(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173612857d_esti(Uu),Uub),aa_fun1431113780TP_ind(scratc343782384_d_Sep(Uu),Uua)))))) # label(fact_ATP_Olambda__423) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 647 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_ua(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)),aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_tz(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__424) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 648 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_bl(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)),aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_bk(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__425) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 649 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tq(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tp(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__426) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 650 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tk(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tj(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__427) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 651 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ti(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_th(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__428) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 652 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tv(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,Uub),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc794454983d_d_Pi,Uu),aTP_Lamm_ag(Uua)))))) # label(fact_ATP_Olambda__429) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 653 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rj(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uua),Uub))))) # label(fact_ATP_Olambda__430) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 654 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rk(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,Uua),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uub))))) # label(fact_ATP_Olambda__431) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 655 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tl(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,Uub),aa_TPTP_ind_TPTP_ind(scratc779928451etprod(Uu),Uua))))) # label(fact_ATP_Olambda__432) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 656 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_ts(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,Uub),aa_fun1431113780TP_ind(scratc343782384_d_Sep(Uu),Uua))))) # label(fact_ATP_Olambda__433) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 657 (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(scratc309767493bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,Uu),Uub))) # label(fact_ATP_Olambda__434) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 658 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oi(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_oh(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__435) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 659 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oe(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_od(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__436) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 660 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oa(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_nz(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__437) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 661 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nw(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_nv(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__438) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 662 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mo(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mn(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__439) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 663 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mk(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mj(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__440) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 664 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mg(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mf(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__441) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 665 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mc(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mb(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__442) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 666 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ly(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lx(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__443) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 667 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lu(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lt(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__444) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 668 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lq(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lp(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__445) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 669 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lm(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ll(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__446) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 670 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jb(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ja(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__447) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 671 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ix(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_iw(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__448) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 672 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_it(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_is(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__449) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 673 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ip(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_io(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__450) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 674 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hq(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hp(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__451) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 675 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hm(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hl(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__452) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 676 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hi(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hh(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__453) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 677 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_he(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hd(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__454) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 678 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ha(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gz(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__455) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 679 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gw(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gv(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__456) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 680 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gs(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gr(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__457) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 681 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_go(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_ct),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gn(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__458) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 682 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fk(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fj(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__459) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 683 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fg(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ff(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__460) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 684 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_em(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_el(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__461) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 685 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ei(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_eh(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__462) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 686 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_db(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc2063379426all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_da(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__463) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 687 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_tt(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(Uua,aa_TPTP_ind_TPTP_ind(scratc1935659252d_e_in(Uu,Uua),Uub))))) # label(fact_ATP_Olambda__464) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 688 (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(scratc310292283bnd_in,X3),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310292283bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,Uub),X3)),aa_TPTP_ind_TPTP_ind(Uua,X3)))))))) # label(fact_ATP_Olambda__465) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 689 (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(scratc1013850468nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1935659257d_e_is(aa_TPTP_ind_TPTP_ind(scratc63875198_d_1to,scratc1589838970nd_n_2)),Uuc),scratc1450646075d_n_1t),Uu,Uua),Uub)) # label(fact_ATP_Olambda__466) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 690 (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(scratc310292275bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc258659813_image(Uu,Uua),Uub),Uuc),aa_TPTP_ind_TPTP_ind(scratc1330451008d_soft(Uu,Uua,Uub),Uuc)),scratc2034222027ptyset)) # label(fact_ATP_Olambda__467) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 691 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tj(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1935659257d_e_is(Uu),aa_TPTP_ind_TPTP_ind(scratc301301882_first(Uu,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc36023912d_pair(Uu,Uua),Uub),Uuc))),Uub)))) # label(fact_ATP_Olambda__468) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 692 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_th(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1935659257d_e_is(Uua),aa_TPTP_ind_TPTP_ind(scratc1083152362second(Uu,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc36023912d_pair(Uu,Uua),Uub),Uuc))),Uuc)))) # label(fact_ATP_Olambda__469) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 693 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tw(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1935659257d_e_is(Uu),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,Uua),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,Uub),Uuc))))) # label(fact_ATP_Olambda__470) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 694 (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(scratc1173612857d_esti(Uu),Uub),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,Uua),Uuc))))) # label(fact_ATP_Olambda__471) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 695 (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(scratc1935659257d_e_is(Uu),Uub),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,Uua),Uuc))))) # label(fact_ATP_Olambda__472) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 696 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tp(Uu),Uua),Uub),Uuc)) <-> scratc1472578231_is_of(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc36023912d_pair(Uu,Uua),Uub),Uuc),aa_TPT43085870d_bool(aTP_Lamm_tl(Uu),Uua)))) # label(fact_ATP_Olambda__473) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 697 (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(scratc1322412276d_l_ec(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173612857d_esti(Uu),Uuc),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173612857d_esti(Uu),Uuc),Uub))))) # label(fact_ATP_Olambda__474) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 698 (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(scratc1013391286nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173612857d_esti(Uu),Uuc),Uua)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173612857d_esti(Uu),Uuc),Uub))))) # label(fact_ATP_Olambda__475) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 699 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tx(Uu),Uua),Uub),Uuc)) <-> (pp(aa_fun171081125l_bool(scratc2063379426all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tw(Uua),Uub),Uuc))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1935659257d_e_is(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc794454983d_d_Pi,Uu),aTP_Lamm_ag(Uua))),Uub),Uuc))))) # label(fact_ATP_Olambda__476) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 700 (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__477) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 701 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hp(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__478) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 702 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mn(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__479) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 703 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hd(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__480) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 704 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mb(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__481) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 705 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hh(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__482) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 706 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mf(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__483) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 707 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gr(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__484) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 708 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lp(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc397780341moreis,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__485) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 709 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gn(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__486) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 710 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ll(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__487) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 711 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gz(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__488) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 712 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lx(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__489) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 713 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_eh(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263534331lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263534331lesseq,Uub),Uuc))))))) # label(fact_ATP_Olambda__490) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 714 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_el(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954822_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954822_moreq,Uub),Uuc))))))) # label(fact_ATP_Olambda__491) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 715 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fj(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954811_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc75954811_moref,Uub),Uuc))))))) # label(fact_ATP_Olambda__492) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 716 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ff(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1877116663_lessf,Uub),Uuc))))))) # label(fact_ATP_Olambda__493) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 717 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ja(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__494) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 718 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_iw(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uuc),Uua))))))) # label(fact_ATP_Olambda__495) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 719 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_oh(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__496) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 720 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_od(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1266704693_29_ii,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uuc),Uua))))))) # label(fact_ATP_Olambda__497) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 721 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_is(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__498) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 722 (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(scratc1454319618d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uuc),Uua))))))) # label(fact_ATP_Olambda__499) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 723 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_nz(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__500) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 724 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_nv(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454319618d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uuc),Uua))))))) # label(fact_ATP_Olambda__501) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 725 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_da(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1454057220d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1454778798d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__502) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 726 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gv(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__503) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 727 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lt(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc263796729lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__504) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 728 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hl(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1455041207d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__505) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 729 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mj(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1013128883nd_iii,aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1454778804d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__506) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 730 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_tz(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1935659257d_e_is(Uu),Uub),Uuc)) -> pp(aa_TPTP_ind_bool(Uua,Uuc)))))) # label(fact_ATP_Olambda__507) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 731 (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(scratc1935659257d_e_is(Uu),Uub),Uuc)))))) # label(fact_ATP_Olambda__508) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 732 (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(scratc947233643nd_all(Uu),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_bh(Uu),Uua),Uub),Uuc))))) # label(fact_ATP_Olambda__509) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 733 (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(scratc1174040234l_some(Uua),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ay(Uu),Uub),Uuc))))) # label(fact_ATP_Olambda__510) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 734 (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(scratc309767493bnd_ap,Uub),aa_TPTP_ind_TPTP_ind(scratc1757618662ght1to(Uu,Uua),Uuc))) # label(fact_ATP_Olambda__511) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 735 (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(scratc309767493bnd_ap,Uub),aa_TPTP_ind_TPTP_ind(scratc914448495eft1to(Uu,Uua),Uuc))) # label(fact_ATP_Olambda__512) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 736 (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(scratc1013391286nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1935659257d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,Uub),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,Uub),Uud))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1935659257d_e_is(Uu),Uuc),Uud))))) # label(fact_ATP_Olambda__513) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 737 (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(scratc1935659257d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,Uub),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,Uub),Uud)))))) # label(fact_ATP_Olambda__514) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 738 (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(scratc2063379426all_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__515) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 739 (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(scratc2063379426all_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__516) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 740 (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(scratc309767493bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,aa_TPTP_ind_TPTP_ind(scratc323936431wissel(Uu,Uub),Uuc)),Uud))) # label(fact_ATP_Olambda__517) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 741 (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(scratc2063379426all_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__518) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 742 (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(scratc1935659257d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,Uub),Uuc)),Uue)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc309767493bnd_ap,Uub),Uud)),Uuf))))))) # label(fact_ATP_Olambda__519) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 743 (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(scratc2063379426all_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__520) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 744 (all Uu all Uua (gg_TPTP_ind(Uu) -> aa_TPTP_ind_TPTP_ind(aTP_Lamm_ag(Uu),Uua) = Uu)) # label(fact_ATP_Olambda__521) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 745 (all Uu (gg_TPTP_ind(Uu) -> aa_TPTP_ind_TPTP_ind(aTP_Lamm_ak,Uu) = Uu)) # label(fact_ATP_Olambda__522) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 746 (all Uu aa_TPTP_ind_TPTP_ind(aTP_Lamm_ai,Uu) = scratc1053911627nd_nat) # label(fact_ATP_Olambda__523) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 747 (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].
% 1.25/1.66 748 (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].
% 1.25/1.66 749 (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].
% 1.25/1.66 750 (all P (gg_bool(P) -> P = fTrue | P = fFalse)) # label(help_fFalse_1_1_T) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.66 751 (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].
% 1.25/1.66 752 (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].
% 1.46/1.74 753 (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].
% 1.46/1.74 754 (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].
% 1.46/1.74 755 (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].
% 1.46/1.74 756 (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].
% 1.46/1.74 757 (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].
% 1.46/1.74 758 (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].
% 1.46/1.74 759 (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].
% 1.46/1.74
% 1.46/1.74 ============================== end of process non-clausal formulas ===
% 1.46/1.74
% 1.46/1.74 ============================== PROCESS INITIAL CLAUSES ===============
% 1.46/1.74
% 1.46/1.74 ============================== PREDICATE ELIMINATION =================
% 1.46/1.74 760 -gg_bool(A) | A = fTrue | A = fFalse # label(help_fFalse_1_1_T) # label(axiom). [clausify(750)].
% 1.46/1.74 761 gg_bool(undefined_bool(bool)) # label(gsy_c_HOL_Oundefined_001t__HOL__Obool) # label(axiom). [assumption].
% 1.46/1.74 762 gg_bool(scratc1995684004_amone(A,B)) # label(gsy_c_Scratch__tptp__translate__58352__15810_ONUM752__thf__4__p_Obnd__amone) # label(axiom). [clausify(1)].
% 1.46/1.74 763 gg_bool(scratc460033833_d_and(A,B)) # label(gsy_c_Scratch__tptp__translate__58352__15810_ONUM752__thf__4__p_Obnd__d__and) # label(axiom). [clausify(2)].
% 1.46/1.74 764 gg_bool(scratc567499013_d_not(A)) # label(gsy_c_Scratch__tptp__translate__58352__15810_ONUM752__thf__4__p_Obnd__d__not) # label(axiom). [clausify(3)].
% 1.46/1.74 765 gg_bool(scratc979689215nd_ec3(A,B,C)) # label(gsy_c_Scratch__tptp__translate__58352__15810_ONUM752__thf__4__p_Obnd__ec3) # label(axiom). [clausify(4)].
% 1.46/1.74 766 gg_bool(scratc1322412276d_l_ec(A,B)) # label(gsy_c_Scratch__tptp__translate__58352__15810_ONUM752__thf__4__p_Obnd__l__ec) # label(axiom). [clausify(8)].
% 1.46/1.74 767 gg_bool(scratc1063288250nd_or3(A,B,C)) # label(gsy_c_Scratch__tptp__translate__58352__15810_ONUM752__thf__4__p_Obnd__or3) # label(axiom). [clausify(9)].
% 1.46/1.74 768 gg_bool(aa_bool_bool(A,B)) # label(gsy_c_aa_001t__HOL__Obool_001t__HOL__Obool) # label(axiom). [clausify(10)].
% 1.46/1.74 769 gg_bool(aa_TPTP_ind_bool(A,B)) # label(gsy_c_aa_001t__TPTP____Interpret__Oind_001t__HOL__Obool) # label(axiom). [clausify(11)].
% 1.46/1.74 770 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)].
% 1.46/1.74 771 gg_bool(fEx_TPTP_ind(A)) # label(gsy_c_fEx_001t__TPTP____Interpret__Oind) # label(axiom). [clausify(16)].
% 1.46/1.74 772 gg_bool(fFalse) # label(gsy_c_fFalse) # label(axiom). [assumption].
% 1.46/1.74 773 gg_bool(fTrue) # label(gsy_c_fTrue) # label(axiom). [assumption].
% 1.46/1.74 Derived: undefined_bool(bool) = fTrue | undefined_bool(bool) = fFalse. [resolve(760,a,761,a)].
% 1.46/1.74 Derived: scratc1995684004_amone(A,B) = fTrue | scratc1995684004_amone(A,B) = fFalse. [resolve(760,a,762,a)].
% 1.46/1.74 Derived: scratc460033833_d_and(A,B) = fTrue | scratc460033833_d_and(A,B) = fFalse. [resolve(760,a,763,a)].
% 3.19/3.48 Derived: scratc567499013_d_not(A) = fTrue | scratc567499013_d_not(A) = fFalse. [resolve(760,a,764,a)].
% 3.19/3.48 Derived: scratc979689215nd_ec3(A,B,C) = fTrue | scratc979689215nd_ec3(A,B,C) = fFalse. [resolve(760,a,765,a)].
% 3.19/3.48 Derived: scratc1322412276d_l_ec(A,B) = fTrue | scratc1322412276d_l_ec(A,B) = fFalse. [resolve(760,a,766,a)].
% 3.19/3.48 Derived: scratc1063288250nd_or3(A,B,C) = fTrue | scratc1063288250nd_or3(A,B,C) = fFalse. [resolve(760,a,767,a)].
% 3.19/3.48 Derived: aa_bool_bool(A,B) = fTrue | aa_bool_bool(A,B) = fFalse. [resolve(760,a,768,a)].
% 3.19/3.48 Derived: aa_TPTP_ind_bool(A,B) = fTrue | aa_TPTP_ind_bool(A,B) = fFalse. [resolve(760,a,769,a)].
% 3.19/3.48 Derived: aa_fun171081125l_bool(A,B) = fTrue | aa_fun171081125l_bool(A,B) = fFalse. [resolve(760,a,770,a)].
% 3.19/3.48 Derived: fEx_TPTP_ind(A) = fTrue | fEx_TPTP_ind(A) = fFalse. [resolve(760,a,771,a)].
% 3.19/3.48 Derived: fFalse = fTrue | fFalse = fFalse. [resolve(760,a,772,a)].
% 3.19/3.48 Derived: fTrue = fTrue | fTrue = fFalse. [resolve(760,a,773,a)].
% 3.19/3.48 774 scratc1717347066d_r_ec(A,B) | pp(A) # label(fact_def__r__ec) # label(axiom). [clausify(94)].
% 3.19/3.48 775 -scratc1717347066d_r_ec(A,B) | -pp(A) | pp(scratc567499013_d_not(B)) # label(fact_def__r__ec) # label(axiom). [clausify(94)].
% 3.19/3.48 776 scratc1717347066d_r_ec(A,B) | -pp(scratc567499013_d_not(B)) # label(fact_def__r__ec) # label(axiom). [clausify(94)].
% 3.19/3.48 777 scratc1354175283_l_iff(A,B) | -pp(scratc460033833_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1013391286nd_imp,A),B),aa_bool_bool(aa_boo1142376798l_bool(scratc1013391286nd_imp,B),A))) # label(fact_def__l__iff) # label(axiom). [clausify(126)].
% 3.19/3.48 778 -scratc1354175283_l_iff(A,B) | pp(scratc460033833_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1013391286nd_imp,A),B),aa_bool_bool(aa_boo1142376798l_bool(scratc1013391286nd_imp,B),A))) # label(fact_def__l__iff) # label(axiom). [clausify(126)].
% 3.19/3.48 779 scratc380304759d_orec(A,B) | -pp(scratc460033833_d_and(aa_bool_bool(scratc1323068281d_l_or(A),B),scratc1322412276d_l_ec(A,B))) # label(fact_def__orec) # label(axiom). [clausify(127)].
% 3.19/3.48 780 -scratc380304759d_orec(A,B) | pp(scratc460033833_d_and(aa_bool_bool(scratc1323068281d_l_or(A),B),scratc1322412276d_l_ec(A,B))) # label(fact_def__orec) # label(axiom). [clausify(127)].
% 3.19/3.48 781 scratc1128527560nd_wel(A) | -pp(scratc567499013_d_not(scratc567499013_d_not(A))) # label(fact_def__wel) # label(axiom). [clausify(132)].
% 3.19/3.48 782 -scratc1128527560nd_wel(A) | pp(scratc567499013_d_not(scratc567499013_d_not(A))) # label(fact_def__wel) # label(axiom). [clausify(132)].
% 3.19/3.48 783 -scratc1128527560nd_wel(A) | pp(A) # label(fact_l__et) # label(axiom). [clausify(184)].
% 3.19/3.48 Derived: pp(A) | -pp(scratc567499013_d_not(scratc567499013_d_not(A))). [resolve(783,a,781,a)].
% 3.19/3.48
% 3.19/3.48 ============================== end predicate elimination =============
% 3.19/3.48
% 3.19/3.48 Auto_denials: (non-Horn, no changes).
% 3.19/3.48
% 3.19/3.48 Term ordering decisions:
% 3.19/3.48 Function symbol KB weights: aTP_Lamm_ct=1. aTP_Lamm_a=1. scratc1454319618d_n_is=1. scratc1013128883nd_iii=1. scratc1266704693_29_ii=1. scratc310292283bnd_in=1. scratc1146005357rdsucc=1. scratc263796729lessis=1. scratc1454057220d_n_eq=1. scratc309767493bnd_ap=1. scratc397780341moreis=1. scratc1589838969nd_n_1=1. scratc1877116663_lessf=1. aTP_Lamm_ar=1. scratc75954811_moref=1. scratc1053911627nd_nat=1. scratc1998360215_Sigma=1. scratc2034222027ptyset=1. scratc263534331lesseq=1. scratc794454983d_d_Pi=1. scratc1054436418nd_nis=1. scratc1454122820d_n_fr=1. scratc1917864876n_some=1. scratc75954822_moreq=1. fFalse=1. scratc1359222437_nat_p=1. scratc1388471567_power=1. scratc971558967nd_den=1. scratc1013391286nd_imp=1. scratc1055223600nd_num=1. scratc467904741d_repl=1. fTrue=1. scratc2032491305_n_all=1. scratc1020708784d_pair=1. aTP_Lamm_ai=1. scratc1186086175d_Subq=1. scratc1944692164d_frac=1. scratc1334278217closed=1. scratc1516985405_proj0=1. scratc1589838970nd_n_2=1. scratc1895733433_union=1. aTP_Lamm_ao=1. scratc1454319613d_n_in=1. scratc1516985406_proj1=1. aTP_Lamm_an=1. aTP_Lamm_tc=1. scratc1800616045closed=1. scratc1965349059closed=1. scratc63875198_d_1to=1. aTP_Lamm_ah=1. aTP_Lamm_df=1. aTP_Lamm_ed=1. aTP_Lamm_ef=1. aTP_Lamm_ep=1. aTP_Lamm_er=1. aTP_Lamm_et=1. aTP_Lamm_ev=1. aTP_Lamm_ex=1. aTP_Lamm_ez=1. aTP_Lamm_fb=1. aTP_Lamm_fd=1. aTP_Lamm_fn=1. aTP_Lamm_fp=1. aTP_Lamm_gk=1. aTP_Lamm_ks=1. aTP_Lamm_ku=1. aTP_Lamm_kw=1. aTP_Lamm_ky=1. aTP_Lamm_la=1. aTP_Lamm_lc=1. aTP_Lamm_le=1. aTP_Lamm_lg=1. aTP_Lamm_qb=1. aTP_Lamm_qd=1. aTP_Lamm_qf=1. aTP_Lamm_qh=1. aTP_Lamm_qj=1. aTP_Lamm_ql=1. aTP_Lamm_qn=1. aTP_Lamm_qp=1. aTP_Lamm_qr=1. aTP_Lamm_qt=1. aTP_Lamm_qv=1. aTP_Lamm_qx=1. aTP_Lamm_st=1. aTP_Lamm_sx=1. aTP_Lamm_sy=1. scratc1912842970d_Inj1=1. scratc292938303_prop2=1. scratc496165091_prop2=1. scratc686640619_omega=1. scratc92370086closed=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_cc=1. aTP_Lamm_cf=1. aTP_Lamm_ci=1. aTP_Lamm_ck=1. aTP_Lamm_cm=1. aTP_Lamm_cp=1. aTP_Lamm_cr=1. aTP_Lamm_cv=1. aTP_Lamm_cy=1. aTP_Lamm_dc=1. aTP_Lamm_dh=1. aTP_Lamm_dj=1. aTP_Lamm_dm=1. aTP_Lamm_dp=1. aTP_Lamm_ds=1. aTP_Lamm_dv=1. aTP_Lamm_dy=1. aTP_Lamm_eb=1. aTP_Lamm_ej=1. aTP_Lamm_en=1. aTP_Lamm_fh=1. aTP_Lamm_fl=1. aTP_Lamm_fr=1. aTP_Lamm_ft=1. aTP_Lamm_fv=1. aTP_Lamm_fy=1. aTP_Lamm_gb=1. aTP_Lamm_gd=1. aTP_Lamm_gf=1. aTP_Lamm_gi=1. aTP_Lamm_gp=1. aTP_Lamm_gt=1. aTP_Lamm_gx=1. aTP_Lamm_hb=1. aTP_Lamm_hf=1. aTP_Lamm_hj=1. aTP_Lamm_hn=1. aTP_Lamm_hr=1. aTP_Lamm_hu=1. aTP_Lamm_hx=1. aTP_Lamm_ia=1. aTP_Lamm_id=1. aTP_Lamm_ig=1. aTP_Lamm_ij=1. aTP_Lamm_im=1. aTP_Lamm_iq=1. aTP_Lamm_iu=1. aTP_Lamm_iy=1. aTP_Lamm_jc=1. aTP_Lamm_jf=1. aTP_Lamm_ji=1. aTP_Lamm_jl=1. aTP_Lamm_jo=1. aTP_Lamm_jr=1. aTP_Lamm_ju=1. aTP_Lamm_jx=1. aTP_Lamm_ka=1. aTP_Lamm_kc=1. aTP_Lamm_ke=1. aTP_Lamm_kh=1. aTP_Lamm_kk=1. aTP_Lamm_kn=1. aTP_Lamm_kq=1. aTP_Lamm_ln=1. aTP_Lamm_lr=1. aTP_Lamm_lv=1. aTP_Lamm_lz=1. aTP_Lamm_md=1. aTP_Lamm_mh=1. aTP_Lamm_ml=1. aTP_Lamm_mp=1. aTP_Lamm_ms=1. aTP_Lamm_mv=1. aTP_Lamm_my=1. aTP_Lamm_nb=1. aTP_Lamm_ne=1. aTP_Lamm_nh=1. aTP_Lamm_nk=1. aTP_Lamm_nn=1. aTP_Lamm_nq=1. aTP_Lamm_nt=1. aTP_Lamm_nx=1. aTP_Lamm_ob=1. aTP_Lamm_of=1. aTP_Lamm_oj=1. aTP_Lamm_om=1. aTP_Lamm_op=1. aTP_Lamm_os=1. aTP_Lamm_ov=1. aTP_Lamm_oy=1. aTP_Lamm_pb=1. aTP_Lamm_pf=1. aTP_Lamm_ph=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_qz=1. aTP_Lamm_rb=1. aTP_Lamm_rd=1. aTP_Lamm_rf=1. aTP_Lamm_rh=1. aTP_Lamm_rl=1. aTP_Lamm_rn=1. aTP_Lamm_rq=1. aTP_Lamm_rt=1. aTP_Lamm_rv=1. aTP_Lamm_rx=1. aTP_Lamm_sa=1. aTP_Lamm_sc=1. aTP_Lamm_sf=1. aTP_Lamm_si=1. aTP_Lamm_sl=1. aTP_Lamm_so=1. aTP_Lamm_sq=1. aTP_Lamm_sr=1. aTP_Lamm_sw=1. fconj=1. fimplies=1. scratc1087735293d_Sing=1. scratc1450646075d_n_1t=1. scratc1532102138_cond2=1. scratc1912842969d_Inj0=1. scratc292938302_prop1=1. scratc496165090_prop1=1. scratc799918_n_one=1. aTP_Lamm_bu=1. aTP_Lamm_ca=1. aTP_Lamm_cd=1. aTP_Lamm_cg=1. aTP_Lamm_cj=1. aTP_Lamm_cl=1. aTP_Lamm_cn=1. aTP_Lamm_cq=1. aTP_Lamm_cs=1. aTP_Lamm_cw=1. aTP_Lamm_cz=1. aTP_Lamm_dd=1. aTP_Lamm_dg=1. aTP_Lamm_di=1. aTP_Lamm_dk=1. aTP_Lamm_dn=1. aTP_Lamm_dq=1. aTP_Lamm_dt=1. aTP_Lamm_dw=1. aTP_Lamm_dz=1. aTP_Lamm_ec=1. aTP_Lamm_ee=1. aTP_Lamm_eg=1. aTP_Lamm_ek=1. aTP_Lamm_eo=1. aTP_Lamm_eq=1. aTP_Lamm_es=1. aTP_Lamm_eu=1. aTP_Lamm_ew=1. aTP_Lamm_ey=1. aTP_Lamm_fa=1. aTP_Lamm_fc=1. aTP_Lamm_fe=1. aTP_Lamm_fi=1. aTP_Lamm_fm=1. aTP_Lamm_fo=1. aTP_Lamm_fq=1. aTP_Lamm_fs=1. aTP_Lamm_fu=1. aTP_Lamm_fw=1. aTP_Lamm_fz=1. aTP_Lamm_gc=1. aTP_Lamm_ge=1. aTP_Lamm_gg=1. aTP_Lamm_gj=1. aTP_Lamm_gl=1. aTP_Lamm_gm=1. aTP_Lamm_gq=1. aTP_Lamm_gu=1. aTP_Lamm_gy=1. aTP_Lamm_hc=1. aTP_Lamm_hg=1. aTP_Lamm_hk=1. aTP_Lamm_ho=1. aTP_Lamm_hs=1. aTP_Lamm_hv=1. aTP_Lamm_hy=1. aTP_Lamm_ib=1. aTP_Lamm_ie=1. aTP_Lamm_ih=1. aTP_Lamm_ik=1. aTP_Lamm_in=1. aTP_Lamm_ir=1. aTP_Lamm_iv=1. aTP_Lamm_iz=1. aTP_Lamm_jd=1. aTP_Lamm_jg=1. aTP_Lamm_jj=1. aTP_Lamm_jm=1. aTP_Lamm_jp=1. aTP_Lamm_js=1. aTP_Lamm_jv=1. aTP_Lamm_jy=1. aTP_Lamm_kb=1. aTP_Lamm_kd=1. aTP_Lamm_kf=1. aTP_Lamm_kg=1. aTP_Lamm_ki=1. aTP_Lamm_kj=1. aTP_Lamm_kl=1. aTP_Lamm_km=1. aTP_Lamm_ko=1. aTP_Lamm_kp=1. aTP_Lamm_kr=1. aTP_Lamm_kt=1. aTP_Lamm_kv=1. aTP_Lamm_kx=1. aTP_Lamm_kz=1. aTP_Lamm_lb=1. aTP_Lamm_ld=1. aTP_Lamm_lf=1. aTP_Lamm_lh=1. aTP_Lamm_li=1. aTP_Lamm_lj=1. aTP_Lamm_lk=1. aTP_Lamm_lo=1. aTP_Lamm_ls=1. aTP_Lamm_lw=1. aTP_Lamm_ma=1. aTP_Lamm_me=1. aTP_Lamm_mi=1. aTP_Lamm_mm=1. aTP_Lamm_mq=1. aTP_Lamm_mt=1. aTP_Lamm_mw=1. aTP_Lamm_mz=1. aTP_Lamm_nc=1. aTP_Lamm_nf=1. aTP_Lamm_ni=1. aTP_Lamm_nl=1. aTP_Lamm_no=1. aTP_Lamm_nr=1. aTP_Lamm_nu=1. aTP_Lamm_ny=1. aTP_Lamm_oc=1. aTP_Lamm_og=1. aTP_Lamm_ok=1. aTP_Lamm_on=1. aTP_Lamm_oq=1. aTP_Lamm_ot=1. aTP_Lamm_ow=1. aTP_Lamm_oz=1. aTP_Lamm_pc=1. aTP_Lamm_pd=1. aTP_Lamm_pe=1. aTP_Lamm_pg=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_qc=1. aTP_Lamm_qe=1. aTP_Lamm_qg=1. aTP_Lamm_qi=1. aTP_Lamm_qk=1. aTP_Lamm_qm=1. aTP_Lamm_qo=1. aTP_Lamm_qq=1. aTP_Lamm_qs=1. aTP_Lamm_qu=1. aTP_Lamm_qw=1. aTP_Lamm_qy=1. aTP_Lamm_ra=1. aTP_Lamm_rc=1. aTP_Lamm_re=1. aTP_Lamm_rg=1. aTP_Lamm_ri=1. aTP_Lamm_rm=1. aTP_Lamm_ro=1. aTP_Lamm_rr=1. aTP_Lamm_ru=1. aTP_Lamm_rw=1. aTP_Lamm_ry=1. aTP_Lamm_sb=1. aTP_Lamm_sd=1. aTP_Lamm_se=1. aTP_Lamm_sg=1. aTP_Lamm_sh=1. aTP_Lamm_sj=1. aTP_Lamm_sk=1. aTP_Lamm_sm=1. aTP_Lamm_sn=1. aTP_Lamm_sp=1. aTP_Lamm_ss=1. aTP_Lamm_su=1. aTP_Lamm_sv=1. aTP_Lamm_sz=1. aTP_Lamm_ta=1. aTP_Lamm_tb=1. aTP_Lamm_te=1. aTP_Lamm_ub=1. fequal_TPTP_ind=1. scratc1052337245nd_nIn=1. scratc1450711674d_n_2t=1. scratc1532102137_cond1=1. scratc1792279219univof=1. scratc360895779_d_Unj=1. aTP_Lamm_ac=1. aTP_Lamm_ak=1. aTP_Lamm_aq=1. aTP_Lamm_bs=1. aTP_Lamm_bt=1. bool=1. scratc1002755328pair_p=1. scratc1084527265_prop1=1. scratc1087265529_prop1=1. scratc1112372528d_plus=1. scratc1180590480_times=1. scratc120145335_empty=1. scratc1263697600_prop1=1. scratc1450646070d_n_1o=1. scratc1469662652_prop1=1. scratc1517379003_prop4=1. scratc172333366nempty=1. scratc1852059775_prop1=1. scratc2058024827_prop1=1. scratc252178931munion=1. scratc496165093_prop4=1. scratc505350651r1type=1. scratc687672455428_id=1. scratc1732024081let_u0=1. scratc175467627air_u0=1. scratc264018039d_24_g=1. scratc367602539d_1out=1. scratc651020341d_i1_s=1. scratc939403692d_xout=1. scratc97434395_428_g=1. tPTP_ind=1. aa_TPT43085870d_bool=1. aa_TPTP_ind_bool=1. aa_TPTP_ind_TPTP_ind=1. aa_fun171081125l_bool=1. aa_TPT60673477d_bool=1. aa_TPT1424761345TP_ind=1. aa_fun277296641TP_ind=1. aa_TPT494704832TP_ind=1. aa_bool_bool=1. aa_fun1584354236d_bool=1. scratc460033833_d_and=1. aa_fun1431113780TP_ind=1. aa_boo1142376798l_bool=1. aa_TPT1123896796d_bool=1. scratc310292275bnd_if=1. scratc1322412276d_l_ec=1. aa_fun1212484691d_bool=1. scratc1935659252d_e_in=1. aa_TPT1791839040TP_ind=1. aa_TPT985247859d_bool=1. scratc1013456873nd_ind=1. scratc36023912d_pair=1. aa_fun987228051d_bool=1. scratc1995684004_amone=1. scratc1083152362second=1. scratc258659813_image=1. scratc301301882_first=1. aa_TPT125613450d_bool=1. scratc1054830007nd_non=1. aa_fun1913827119d_bool=1. scratc156456193d_anec=1. aa_fun1107270209d_bool=1. aa_fun845057962d_bool=1. scratc1602029089eplSep=1. scratc812806585_ecelt=1. scratc979689276nd_ecp=1. scratc1063485112nd_out=1. scratc812216194_ecect=1. aa_TPT1781712639TP_ind=1. aa_TPT2142672771l_bool=1. aa_fun1235454963TP_ind=1. cOMBB_658106424TP_ind=1. cOMBS_2003118649l_bool=1. scratc1038568515etprop=1. scratc1757618662ght1to=1. scratc2091366756fixfu2=1. scratc323936431wissel=1. scratc350018126_fixfu=1. scratc455909634ectset=1. scratc914448495eft1to=1. scratc979689280nd_ect=1. scratc2107301675d_invf=1. scratc2111038206d_tofs=1. scratc340707757ectelt=1. scratc544253050nverse=1. scratc562026980unmore=1. f1=1. f12=1. f13=1. f20=1. f24=1. scratc2063379426all_of=1. scratc1454778804d_n_pl=1. scratc1455041207d_n_ts=1. scratc567499013_d_not=1. scratc1454778798d_n_pf=1. scratc1935659257d_e_is=1. scratc343782384_d_Sep=1. scratc1174040234l_some=1. scratc1173612857d_esti=1. scratc1168635326ffprop=1. scratc1323068281d_l_or=1. scratc947233643nd_all=1. scratc1063025904nd_one=1. aTP_Lamm_ag=1. scratc1941329834_rec_G=1. scratc406073270d_outn=1. aTP_Lamm_eh=1. aTP_Lamm_el=1. aTP_Lamm_ff=1. aTP_Lamm_fj=1. aTP_Lamm_tl=1. aTP_Lamm_al=1. aTP_Lamm_as=1. aTP_Lamm_bc=1. aTP_Lamm_bk=1. aTP_Lamm_bx=1. aTP_Lamm_da=1. aTP_Lamm_dl=1. aTP_Lamm_do=1. aTP_Lamm_dr=1. aTP_Lamm_du=1. aTP_Lamm_dx=1. aTP_Lamm_ea=1. aTP_Lamm_gh=1. aTP_Lamm_gn=1. aTP_Lamm_gr=1. aTP_Lamm_gv=1. aTP_Lamm_gz=1. aTP_Lamm_hd=1. aTP_Lamm_hh=1. aTP_Lamm_hl=1. aTP_Lamm_hp=1. aTP_Lamm_io=1. aTP_Lamm_is=1. aTP_Lamm_iw=1. aTP_Lamm_ja=1. aTP_Lamm_ll=1. aTP_Lamm_lp=1. aTP_Lamm_lt=1. aTP_Lamm_lx=1. aTP_Lamm_mb=1. aTP_Lamm_mf=1. aTP_Lamm_mj=1. aTP_Lamm_mn=1. aTP_Lamm_nv=1. aTP_Lamm_nz=1. aTP_Lamm_od=1. aTP_Lamm_oh=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_rj=1. aTP_Lamm_td=1. aTP_Lamm_tz=1. scratc2106055300d_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_cb=1. aTP_Lamm_ce=1. aTP_Lamm_ch=1. aTP_Lamm_ht=1. aTP_Lamm_hw=1. aTP_Lamm_hz=1. aTP_Lamm_ic=1. aTP_Lamm_if=1. aTP_Lamm_ii=1. aTP_Lamm_il=1. aTP_Lamm_je=1. aTP_Lamm_jh=1. aTP_Lamm_jk=1. aTP_Lamm_jn=1. aTP_Lamm_jq=1. aTP_Lamm_jt=1. aTP_Lamm_mr=1. aTP_Lamm_mu=1. aTP_Lamm_mx=1. aTP_Lamm_na=1. aTP_Lamm_nd=1. aTP_Lamm_ng=1. aTP_Lamm_nj=1. aTP_Lamm_nm=1. aTP_Lamm_np=1. aTP_Lamm_ns=1. aTP_Lamm_ol=1. aTP_Lamm_oo=1. aTP_Lamm_or=1. aTP_Lamm_ou=1. aTP_Lamm_ox=1. aTP_Lamm_pa=1. aTP_Lamm_rp=1. aTP_Lamm_rs=1. aTP_Lamm_tv=1. aTP_Lamm_tx=1. scratc1013456883nd_inn=1. scratc311063697ective=1. scratc779928451etprod=1. scratc980542066nd_eps=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_co=1. aTP_Lamm_cu=1. aTP_Lamm_cx=1. aTP_Lamm_db=1. aTP_Lamm_de=1. aTP_Lamm_ei=1. aTP_Lamm_em=1. aTP_Lamm_fg=1. aTP_Lamm_fk=1. aTP_Lamm_fx=1. aTP_Lamm_ga=1. aTP_Lamm_go=1. aTP_Lamm_gs=1. aTP_Lamm_gw=1. aTP_Lamm_ha=1. aTP_Lamm_he=1. aTP_Lamm_hi=1. aTP_Lamm_hm=1. aTP_Lamm_hq=1. aTP_Lamm_ip=1. aTP_Lamm_it=1. aTP_Lamm_ix=1. aTP_Lamm_jb=1. aTP_Lamm_jw=1. aTP_Lamm_jz=1. aTP_Lamm_lm=1. aTP_Lamm_lq=1. aTP_Lamm_lu=1. aTP_Lamm_ly=1. aTP_Lamm_mc=1. aTP_Lamm_mg=1. aTP_Lamm_mk=1. aTP_Lamm_mo=1. aTP_Lamm_nw=1. aTP_Lamm_oa=1. aTP_Lamm_oe=1. aTP_Lamm_oi=1. aTP_Lamm_rk=1. aTP_Lamm_rz=1. aTP_Lamm_tf=1. aTP_Lamm_tg=1. aTP_Lamm_th=1. aTP_Lamm_tj=1. aTP_Lamm_tp=1. aTP_Lamm_tr=1. aTP_Lamm_ts=1. aTP_Lamm_tw=1. fEx_TPTP_ind=1. scratc1046174908nd_min=1. scratc1246036030nunion=1. scratc1454516398d_n_lb=1. scratc574313810ective=1. scratc937925295lbprop=1. aTP_Lamm_az=1. aTP_Lamm_ti=1. aTP_Lamm_tk=1. aTP_Lamm_tm=1. aTP_Lamm_tn=1. aTP_Lamm_to=1. aTP_Lamm_tq=1. aTP_Lamm_tt=1. aTP_Lamm_tu=1. aTP_Lamm_ty=1. aTP_Lamm_ua=1. scratc1082860673_pair1=1. scratc1329792669In_rec=1. scratc1810144823first1=1. scratc1892846593_UPair=1. scratc2067817159econd1=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. scratc1162321572tminus=1. scratc1478430955_prop1=1. scratc1517379002_prop3=1. scratc1579158067t_disj=1. scratc2066793130_prop1=1. scratc494782927ective=1. scratc498903354_prop1=1. scratc881300477_prop1=1. undefined_bool=1. scratc1454582009d_n_mn=1. scratc175205231air_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. scratc1063288250nd_or3=1. scratc979689215nd_ec3=1. scratc1013850468nd_ite=1. scratc1330451008d_soft=1. scratc1063900341_indeq=1. scratc1517379000_prop1=1. scratc78692861d_left=1. scratc1077659451d_11_i=1. scratc471791112eft_f1=1. scratc977938201sel_wa=1. scratc977938202sel_wb=1. scratc471791113eft_f2=1. scratc999573318_right=1. f5=1. f7=1. f14=1. f16=1. f19=1. f25=1. scratc1517379001_prop2=1. scratc558212000hangef=1. scratc65199097_inj_h=1. f3=1. f4=1. f15=1. scratc840260929_prop1=1. scratc1874876605indeq2=1. f6=1.
% 3.99/4.24
% 3.99/4.24 ============================== end of process initial clauses ========
% 3.99/4.24
% 3.99/4.24 ============================== CLAUSES FOR SEARCH ====================
% 3.99/4.24
% 3.99/4.24 ============================== end of clauses for search =============
% 3.99/4.24
% 3.99/4.24 ============================== SEARCH ================================
% 3.99/4.24
% 3.99/4.24 % Starting search at 1.98 seconds.
% 3.99/4.24
% 3.99/4.24 NOTE: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------