TSTP Solution File: NUM754+4 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : NUM754+4 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n029.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 13:31:41 EDT 2022
% Result : Timeout 300.09s 300.34s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM754+4 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n029.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 : Wed Jul 6 18:01:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.21/1.59 ============================== Prover9 ===============================
% 1.21/1.59 Prover9 (32) version 2009-11A, November 2009.
% 1.21/1.59 Process 7796 was started by sandbox2 on n029.cluster.edu,
% 1.21/1.59 Wed Jul 6 18:01:59 2022
% 1.21/1.59 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_7643_n029.cluster.edu".
% 1.21/1.59 ============================== end of head ===========================
% 1.21/1.59
% 1.21/1.59 ============================== INPUT =================================
% 1.21/1.59
% 1.21/1.59 % Reading from file /tmp/Prover9_7643_n029.cluster.edu
% 1.21/1.59
% 1.21/1.59 set(prolog_style_variables).
% 1.21/1.59 set(auto2).
% 1.21/1.59 % set(auto2) -> set(auto).
% 1.21/1.59 % set(auto) -> set(auto_inference).
% 1.21/1.59 % set(auto) -> set(auto_setup).
% 1.21/1.59 % set(auto_setup) -> set(predicate_elim).
% 1.21/1.59 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.21/1.59 % set(auto) -> set(auto_limits).
% 1.21/1.59 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.21/1.59 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.21/1.59 % set(auto) -> set(auto_denials).
% 1.21/1.59 % set(auto) -> set(auto_process).
% 1.21/1.59 % set(auto2) -> assign(new_constants, 1).
% 1.21/1.59 % set(auto2) -> assign(fold_denial_max, 3).
% 1.21/1.59 % set(auto2) -> assign(max_weight, "200.000").
% 1.21/1.59 % set(auto2) -> assign(max_hours, 1).
% 1.21/1.59 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.21/1.59 % set(auto2) -> assign(max_seconds, 0).
% 1.21/1.59 % set(auto2) -> assign(max_minutes, 5).
% 1.21/1.59 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.21/1.59 % set(auto2) -> set(sort_initial_sos).
% 1.21/1.59 % set(auto2) -> assign(sos_limit, -1).
% 1.21/1.59 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.21/1.59 % set(auto2) -> assign(max_megs, 400).
% 1.21/1.59 % set(auto2) -> assign(stats, some).
% 1.21/1.59 % set(auto2) -> clear(echo_input).
% 1.21/1.59 % set(auto2) -> set(quiet).
% 1.21/1.59 % set(auto2) -> clear(print_initial_clauses).
% 1.21/1.59 % set(auto2) -> clear(print_given).
% 1.21/1.59 assign(lrs_ticks,-1).
% 1.21/1.59 assign(sos_limit,10000).
% 1.21/1.59 assign(order,kbo).
% 1.21/1.59 set(lex_order_vars).
% 1.21/1.59 clear(print_given).
% 1.21/1.59
% 1.21/1.59 % formulas(sos). % not echoed (991 formulas)
% 1.21/1.59
% 1.21/1.59 ============================== end of input ==========================
% 1.21/1.59
% 1.21/1.59 % From the command line: assign(max_seconds, 300).
% 1.21/1.59
% 1.21/1.59 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.21/1.59
% 1.21/1.59 % Formulas that are not ordinary clauses:
% 1.21/1.59 1 (all B_1 all B_2 gg_bool(scratc326104231_amone(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__58762__23266_ONUM754__thf__4__p_Obnd__amone) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 2 (all B_1 all B_2 gg_bool(scratc1510036454_d_and(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__58762__23266_ONUM754__thf__4__p_Obnd__d__and) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 3 (all B_1 gg_bool(scratc1617501634_d_not(B_1))) # label(gsy_c_Scratch__tptp__translate__58762__23266_ONUM754__thf__4__p_Obnd__d__not) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 4 (all B_1 all B_2 all B_3 gg_bool(scratc1811262594nd_ec3(B_1,B_2,B_3))) # label(gsy_c_Scratch__tptp__translate__58762__23266_ONUM754__thf__4__p_Obnd__ec3) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 5 (all B_1 all B_2 gg_TPTP_ind(scratc1811262659nd_ect(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__58762__23266_ONUM754__thf__4__p_Obnd__ect) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 6 (all B_1 gg_TPTP_ind(scratc1812115445nd_eps(B_1))) # label(gsy_c_Scratch__tptp__translate__58762__23266_ONUM754__thf__4__p_Obnd__eps) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 7 (all B_1 all B_2 gg_TPTP_ind(scratc1845030252nd_ind(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__58762__23266_ONUM754__thf__4__p_Obnd__ind) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 8 (all B_1 all B_2 gg_bool(scratc1800316151d_l_ec(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__58762__23266_ONUM754__thf__4__p_Obnd__l__ec) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 9 (all B_1 all B_2 all B_3 gg_bool(scratc1894861629nd_or3(B_1,B_2,B_3))) # label(gsy_c_Scratch__tptp__translate__58762__23266_ONUM754__thf__4__p_Obnd__or3) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 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].
% 1.21/1.59 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].
% 1.21/1.59 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].
% 1.21/1.59 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].
% 1.21/1.59 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].
% 1.21/1.59 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].
% 1.21/1.59 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].
% 1.21/1.59 17 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1932026695d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1886796979nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1803132346nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1886796979nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1803132346nd_den,X)))),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1803132346nd_den,X)),aa_TPTP_ind_TPTP_ind(scratc1803132346nd_den,Xa)))) # label(fact_def__n__pf) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 18 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313536952lesseq,X),Xa)) <-> pp(aa_bool_bool(scratc1800972156d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,X),Xa))))) # label(fact_def__lesseq) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 19 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858697_moreq,X),Xa)) <-> pp(aa_bool_bool(scratc1800972156d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,X),Xa))))) # label(fact_def__moreq) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 20 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1886796979nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1803132346nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1886796979nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1803132346nd_den,X)))))) # label(fact_def__lessf) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 21 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1886796979nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1803132346nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1886796979nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1803132346nd_den,X)))))) # label(fact_def__moref) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 22 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1886796979nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1803132346nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1886796979nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1803132346nd_den,X)))))) # label(fact_def__n__eq) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 23 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1092889670eft_f2(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc81155386d_left(X,Xa,Xb),aa_TPTP_ind_TPTP_ind(scratc1092889669eft_f1(X,Xa,Xb),Xc))) # label(fact_def__left__f2) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 24 (all X all Xa all Xb scratc1092889669eft_f1(X,Xa,Xb) = scratc81155386d_left(X,Xb,Xa)) # label(fact_def__left__f1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 25 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1477477193_right(X,Xa,Xb),Xc) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc471975124_Sigma,aa_TPTP_ind_TPTP_ind(scratc1113877819_d_1to,Xb)),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ae(Xa),Xb),Xc))) # label(fact_def__right) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 26 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc81155386d_left(X,Xa,Xb),Xc) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc471975124_Sigma,aa_TPTP_ind_TPTP_ind(scratc1113877819_d_1to,Xb)),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_af(Xa),Xb),Xc))) # label(fact_def__left) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 27 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc231233571ght1to(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc408535795d_outn(aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(X),aa_TPTP_ind_TPTP_ind(scratc1845030262nd_inn(Xa),Xb)))) # label(fact_def__right1to) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 28 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1645857522eft1to(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc408535795d_outn(X),aa_TPTP_ind_TPTP_ind(scratc1845030262nd_inn(Xa),Xb))) # label(fact_def__left1to) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 29 (all X aa_TPTP_ind_TPTP_ind(scratc941866217d_xout,X) = aa_TPTP_ind_TPTP_ind(scratc408535795d_outn(X),X)) # label(fact_def__xout) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 30 (all X aa_TPTP_ind_TPTP_ind(scratc1099011566d_1out,X) = aa_TPTP_ind_TPTP_ind(scratc408535795d_outn(X),scratc1592301494nd_n_1)) # label(fact_def__d__1out) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 31 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc796303788air_q0(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1560764548_pair1(X),aa_TPTP_ind_TPTP_ind(scratc712663796first1(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc651742538econd1(X),Xa))) # label(fact_def__pair__q0) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 32 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc651742538econd1(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Xa),scratc1928615549d_n_2t)) # label(fact_def__second1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 33 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc712663796first1(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Xa),scratc1928549950d_n_1t)) # label(fact_def__first1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 34 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1560764548_pair1(X),Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc471975124_Sigma,aa_TPTP_ind_TPTP_ind(scratc1113877819_d_1to,scratc1592301495nd_n_2)),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ag(X),Xa),Xb))) # label(fact_def__pair1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 35 (all X aa_TPTP_ind_TPTP_ind(scratc1889821438r1type,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1272358858d_d_Pi,aa_TPTP_ind_TPTP_ind(scratc1113877819_d_1to,scratc1592301495nd_n_2)),aTP_Lamm_ah(X))) # label(fact_def__pair1type) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 36 (all X scratc1845030262nd_inn(X) = scratc266079479d_e_in(scratc1885485006nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ai,X))) # label(fact_def__inn) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 37 (all X scratc408535795d_outn(X) = scratc1895058491nd_out(scratc1885485006nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ai,X))) # label(fact_def__outn) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 38 (all X aa_TPTP_ind_TPTP_ind(scratc1113877819_d_1to,X) = aa_fun1431113780TP_ind(scratc1393785005_d_Sep(scratc1885485006nd_nat),aa_TPT43085870d_bool(aTP_Lamm_ai,X))) # label(fact_def__d__1to) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 39 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1932485884d_n_mn(X),Xa) = scratc1845030252nd_ind(scratc1885485006nd_nat,aa_TPT43085870d_bool(scratc1789733883ffprop(X),Xa))) # label(fact_def__n__mn) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 40 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc562182317_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(X),Xa)),Xb)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(X),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Xa),Xb)))))) # label(fact_def__d__431__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 41 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2121303790_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(X),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Xa),Xb))),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(X),Xb)))))) # label(fact_def__d__430__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 42 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1727400100_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Xa),X))))) # label(fact_def__d__429__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 43 (all X scratc1932945082d_n_ts(X) = aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1658494355_times,X))) # label(fact_def__n__ts) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 44 (all X aa_TPTP_ind_TPTP_ind(scratc1658494355_times,X) = scratc1845030252nd_ind(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1272358858d_d_Pi,scratc1885485006nd_nat),aTP_Lamm_aj),aa_TPT43085870d_bool(scratc1139037926_prop2,X))) # label(fact_def__times) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 45 (all X aa_TPTP_ind_TPTP_ind(scratc1481905182_428_g,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc471975124_Sigma,scratc1885485006nd_nat),aTP_Lamm_ak(X))) # label(fact_def__d__428__g) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 46 (all X (pp(aa_TPTP_ind_bool(scratc1139037928_prop4,X)) <-> pp(aa_fun171081125l_bool(scratc1905449261l_some(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1272358858d_d_Pi,scratc1885485006nd_nat),aTP_Lamm_aj)),aa_TPT43085870d_bool(scratc1139037926_prop2,X))))) # label(fact_def__d__428__prop4) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 47 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1139037926_prop2,X),Xa)) <-> pp(scratc1510036454_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Xa),scratc1592301494nd_n_1)),X),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1139037925_prop1,X),Xa))))) # label(fact_def__d__428__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 48 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1139037925_prop1,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc935010278_n_all,aa_TPT43085870d_bool(aTP_Lamm_am(X),Xa))))) # label(fact_def__d__428__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 49 (all X all Xa (pp(aa_TPTP_ind_bool(scratc1877748287nd_min(X),Xa)) <-> pp(scratc1510036454_d_and(aa_TPTP_ind_bool(scratc1932420273d_n_lb(X),Xa),aa_TPTP_ind_bool(X,Xa))))) # label(fact_def__min) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 50 (all X all Xa (pp(aa_TPTP_ind_bool(scratc1932420273d_n_lb(X),Xa)) <-> pp(aa_fun171081125l_bool(scratc935010278_n_all,aa_TPT43085870d_bool(scratc1987927916lbprop(X),Xa))))) # label(fact_def__n__lb) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 51 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1987927916lbprop(X),Xa),Xb)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1844964665nd_imp,aa_TPTP_ind_bool(X,Xb)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Xa),Xb))))) # label(fact_def__lbprop) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 52 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,X),Xa)) <-> pp(aa_bool_bool(scratc1800972156d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,X),Xa))))) # label(fact_def__lessis) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 53 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,X),Xa)) <-> pp(aa_bool_bool(scratc1800972156d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,X),Xa))))) # label(fact_def__moreis) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 54 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1278227510_prop1,X),Xa)) <-> pp(scratc1894861629nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,X),Xa),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,X),Xa),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,X),Xa))))) # label(fact_def__d__29__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 55 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc501790255n_some,aa_TPT43085870d_bool(scratc1789733883ffprop(Xa),X))))) # label(fact_def__iii) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 56 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc501790255n_some,aa_TPT43085870d_bool(scratc1789733883ffprop(X),Xa))))) # label(fact_def__d__29__ii) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 57 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1789733883ffprop(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,X),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Xa),Xb))))) # label(fact_def__diffprop) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 58 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc689865335_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1886009797nd_nis,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(X),Xb))))) # label(fact_def__d__28__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 59 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc101503160_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1886009797nd_nis,Xa),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(X),Xa))))) # label(fact_def__d__27__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 60 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1660624633_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Xa),X))))) # label(fact_def__d__26__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 61 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1072262458_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(X),Xa)),Xb)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(X),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Xa),Xb)))))) # label(fact_def__d__25__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 62 (all X scratc1932682679d_n_pl(X) = aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1114835053d_plus,X))) # label(fact_def__n__pl) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 63 (all X aa_TPTP_ind_TPTP_ind(scratc1114835053d_plus,X) = scratc1845030252nd_ind(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1272358858d_d_Pi,scratc1885485006nd_nat),aTP_Lamm_aj),aa_TPT43085870d_bool(scratc483900284_prop2,X))) # label(fact_def__plus) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 64 (all X aa_TPTP_ind_TPTP_ind(scratc885116596d_24_g,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc471975124_Sigma,scratc1885485006nd_nat),aTP_Lamm_an(X))) # label(fact_def__d__24__g) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 65 (all X (pp(aa_TPTP_ind_bool(scratc1995282878_prop4,X)) <-> pp(aa_fun171081125l_bool(scratc1905449261l_some(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1272358858d_d_Pi,scratc1885485006nd_nat),aTP_Lamm_aj)),aa_TPT43085870d_bool(scratc483900284_prop2,X))))) # label(fact_def__prop4) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 66 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1995282877_prop3(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,X),Xb)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Xa),Xb))))) # label(fact_def__prop3) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 67 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc483900284_prop2,X),Xa)) <-> pp(scratc1510036454_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Xa),scratc1592301494nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,X)),aa_TPTP_ind_bool(scratc483900283_prop1,Xa))))) # label(fact_def__d__24__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 68 (all X (pp(aa_TPTP_ind_bool(scratc483900283_prop1,X)) <-> pp(aa_fun171081125l_bool(scratc935010278_n_all,aa_TPT43085870d_bool(aTP_Lamm_ao,X))))) # label(fact_def__d__24__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 69 (all X (pp(aa_TPTP_ind_bool(scratc2043021756_prop1,X)) <-> pp(aa_bool_bool(scratc1800972156d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,X),scratc1592301494nd_n_1)),aa_fun171081125l_bool(scratc501790255n_some,aa_TPT43085870d_bool(aTP_Lamm_ap,X)))))) # label(fact_def__d__23__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 70 (all X (pp(aa_TPTP_ind_bool(scratc1454659581_prop1,X)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1886009797nd_nis,aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,X)),X)))) # label(fact_def__d__22__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 71 (all X (pp(aa_TPTP_ind_bool(scratc2010006013_cond2,X)) <-> pp(aa_fun171081125l_bool(scratc935010278_n_all,aa_TPT43085870d_bool(aTP_Lamm_aq,X))))) # label(fact_def__cond2) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 72 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1886009797nd_nis,X),Xa)) <-> pp(scratc1617501634_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,X),Xa))))) # label(fact_def__nis) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 73 (all X all Xa all Xb all Xc all Xd scratc777395578indeq2(X,Xa,Xb,Xc,Xd) = aa_TPT1424761345TP_ind(scratc1541804216_indeq(X,Xa,Xb),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1698758008d_11_i(X,Xa,Xb),Xc),Xd))) # label(fact_def__indeq2) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 74 (all X all Xa all Xb scratc1698758008d_11_i(X,Xa,Xb) = scratc1541804216_indeq(X,Xa,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1272358858d_d_Pi,X),aTP_Lamm_ah(Xb)))) # label(fact_def__d__11__i) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 75 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc993885729fixfu2(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_fun987228051d_bool(aTP_Lamm_aw(X),Xa),Xb),Xc))))) # label(fact_def__fixfu2) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 76 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1541804216_indeq(X,Xa,Xb),Xc),Xd) = scratc1845030252nd_ind(Xb,aa_TPT43085870d_bool(scratc1995282876_prop2(X,Xa,Xb,Xc),Xd))) # label(fact_def__indeq) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 77 (all X all Xa all Xb all Xc all Xd all Xe (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1995282876_prop2(X,Xa,Xb,Xc),Xd),Xe)) <-> pp(aa_fun171081125l_bool(scratc1905449261l_some(X),aa_TPT43085870d_bool(scratc1031222910_prop1(X,Xa,Xb,Xc,Xd),Xe))))) # label(fact_def__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 78 (all X all Xa all Xb all Xc all Xd all Xe all Xf (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1031222910_prop1(X,Xa,Xb,Xc,Xd),Xe),Xf)) <-> pp(scratc1510036454_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1176075382d_esti(X),Xf),aa_TPTP_ind_TPTP_ind(scratc1290120069_ecect(X,Xa),Xd)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc266079484d_e_is(Xb),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Xc),Xf)),Xe))))) # label(fact_def__d__10__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 79 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc827922001_fixfu(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_fun987228051d_bool(aTP_Lamm_ay(X),Xa),Xb),Xc))))) # label(fact_def__fixfu) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 80 (all X all Xa scratc1290120069_ecect(X,Xa) = scratc266079479d_e_in(aa_TPTP_ind_TPTP_ind(scratc1866375442_power,X),scratc158918718d_anec(X,Xa))) # label(fact_def__ecect) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 81 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1390710378ectelt(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc1505912255ectset(X,Xa),aa_TPTP_ind_TPTP_ind(scratc1290710460_ecelt(X,Xa),Xb))) # label(fact_def__ectelt) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 82 (all X all Xa scratc1505912255ectset(X,Xa) = scratc1895058491nd_out(aa_TPTP_ind_TPTP_ind(scratc1866375442_power,X),scratc158918718d_anec(X,Xa))) # label(fact_def__ectset) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 83 (all X all Xa scratc1811262659nd_ect(X,Xa) = aa_fun1431113780TP_ind(scratc1393785005_d_Sep(aa_TPTP_ind_TPTP_ind(scratc1866375442_power,X)),scratc158918718d_anec(X,Xa))) # label(fact_def__ect) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 84 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(scratc158918718d_anec(X,Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1905449261l_some(X),aa_TPT43085870d_bool(scratc1811262655nd_ecp(X,Xa),Xb))))) # label(fact_def__anec) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 85 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1811262655nd_ecp(X,Xa),Xb),Xc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc266079484d_e_is(aa_TPTP_ind_TPTP_ind(scratc1866375442_power,X)),Xb),aa_TPTP_ind_TPTP_ind(scratc1290710460_ecelt(X,Xa),Xc))))) # label(fact_def__ecp) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 86 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1290710460_ecelt(X,Xa),Xb) = aa_fun1431113780TP_ind(scratc1393785005_d_Sep(X),aa_TPT43085870d_bool(Xa,Xb))) # label(fact_def__ecelt) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 87 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1612029601unmore(X,Xa),Xb) = aa_fun1431113780TP_ind(scratc1393785005_d_Sep(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ba(X),Xa),Xb))) # label(fact_def__unmore) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 88 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1706767360etprop(X,Xa),Xb),Xc)) <-> pp(scratc1510036454_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1176075382d_esti(X),Xc),Xa),scratc1617501634_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1176075382d_esti(X),Xc),Xb)))))) # label(fact_def__nissetprop) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 89 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52772976t_disj(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1778807022nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bb(X),Xa),Xb))))) # label(fact_def__st__disj) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 90 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2108517825d_incl(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1778807022nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bc(X),Xa),Xb))))) # label(fact_def__incl) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 91 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc793431923nempty,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1905449261l_some(X),aa_TPT43085870d_bool(aTP_Lamm_bd(X),Xa))))) # label(fact_def__nonempty) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 92 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc598049210_empty,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X)),scratc1886403386nd_non(X,aa_TPT43085870d_bool(aTP_Lamm_bd(X),Xa)))))) # label(fact_def__empty) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 93 (all X scratc1176075382d_esti(X) = scratc1473466616bnd_in) # label(fact_def__esti) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 94 (all X all Xa (scratc47767293d_r_ec(X,Xa) <-> (pp(X) -> pp(scratc1617501634_d_not(Xa))))) # label(fact_def__r__ec) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 95 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(scratc1289621027hangef(X,Xa,Xb,Xc),Xd) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc471975124_Sigma,X),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aa_TPT1781712639TP_ind(aTP_Lamm_be(X),Xb),Xc),Xd))) # label(fact_def__changef) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 96 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1373939052wissel(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc471975124_Sigma,X),scratc1646137047sel_wb(X,Xa,Xb))) # label(fact_def__wissel) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 97 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1646137047sel_wb(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc1845423847nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc266079484d_e_is(X),Xc),Xb),X,Xa),aa_TPTP_ind_TPTP_ind(scratc1646137046sel_wa(X,Xa,Xb),Xc))) # label(fact_def__wissel__wb) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 98 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1646137046sel_wa(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc1845423847nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc266079484d_e_is(X),Xc),Xa),X,Xb),Xc)) # label(fact_def__wissel__wa) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 99 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1845423847nd_ite(X,Xa,Xb),Xc) = scratc1845030252nd_ind(Xa,aa_TPT43085870d_bool(scratc1995282875_prop1(X,Xa,Xb),Xc))) # label(fact_def__ite) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 100 (all X all Xa all Xb all Xc all Xd (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1995282875_prop1(X,Xa,Xb),Xc),Xd)) <-> pp(scratc1510036454_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1844964665nd_imp,X),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc266079484d_e_is(Xa),Xd),Xb)),aa_bool_bool(aa_boo1142376798l_bool(scratc1844964665nd_imp,scratc1617501634_d_not(X)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc266079484d_e_is(Xa),Xd),Xc)))))) # label(fact_def__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 101 (all X all Xa scratc2133154983second(X,Xa) = scratc1994889281_proj1) # label(fact_def__second) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 102 (all X all Xa scratc779205757_first(X,Xa) = scratc1994889280_proj0) # label(fact_def__first) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 103 (all X all Xa scratc767432939d_pair(X,Xa) = scratc1023171309d_pair) # label(fact_def__d__pair) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 104 (all X all Xa scratc1895058491nd_out(X,Xa) = scratc1332913533d_soft(aa_fun1431113780TP_ind(scratc1393785005_d_Sep(X),Xa),X,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc471975124_Sigma,aa_fun1431113780TP_ind(scratc1393785005_d_Sep(X),Xa)),scratc266079479d_e_in(X,Xa)))) # label(fact_def__out) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 105 (all X all Xa all Xb (gg_TPTP_ind(Xb) -> aa_TPTP_ind_TPTP_ind(scratc266079479d_e_in(X,Xa),Xb) = Xb)) # label(fact_def__e__in) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 106 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(scratc1115201718_inj_h(X,Xa,Xb,Xc),Xd) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc471975124_Sigma,X),aa_TPT1424761345TP_ind(aTP_Lamm_bf(Xc),Xd))) # label(fact_def__inj__h) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 107 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc2109764200d_invf(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc471975124_Sigma,Xa),scratc1332913533d_soft(X,Xa,Xb))) # label(fact_def__invf) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 108 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1879253714ective(X),Xa),Xb)) <-> pp(scratc1510036454_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1695534484ective(X),Xa),Xb),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1242512655ective(X),Xa),Xb))))) # label(fact_def__bijective) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 109 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1242512655ective(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1778807022nd_all(Xa),aa_TPT43085870d_bool(scratc736563688_image(X,Xa),Xb))))) # label(fact_def__surjective) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 110 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1275662077nverse(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc471975124_Sigma,Xa),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_bg(X),Xa),Xb))) # label(fact_def__inverse) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 111 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1332913533d_soft(X,Xa,Xb),Xc) = scratc1845030252nd_ind(X,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bh(Xa),Xb),Xc))) # label(fact_def__soft) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 112 (all X all Xa scratc2113500731d_tofs(X,Xa) = scratc1472941826bnd_ap) # label(fact_def__tofs) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 113 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc736563688_image(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc1905449261l_some(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bh(Xa),Xb),Xc))))) # label(fact_def__image) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 114 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1695534484ective(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1778807022nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bj(X),Xa),Xb))))) # label(fact_def__injective) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 115 (all X all Xa scratc1845030252nd_ind(X,Xa) = scratc1812115445nd_eps(aa_fun1584354236d_bool(aTP_Lamm_bk(X),Xa))) # label(fact_def__ind) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 116 (all X all Xa (pp(aa_fun171081125l_bool(scratc1894599283nd_one(X),Xa)) <-> pp(scratc1510036454_d_and(scratc326104231_amone(X,Xa),aa_fun171081125l_bool(scratc1905449261l_some(X),Xa))))) # label(fact_def__one) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 117 (all X all Xa (pp(scratc326104231_amone(X,Xa)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X)),aa_fun1584354236d_bool(aTP_Lamm_bm(X),Xa))))) # label(fact_def__amone) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 118 (all X scratc266079484d_e_is(X) = fequal_TPTP_ind) # label(fact_def__e__is) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 119 (all X all Xa all Xb (scratc772250751_orec3(X,Xa,Xb) <-> pp(scratc1510036454_d_and(scratc1894861629nd_or3(X,Xa,Xb),scratc1811262594nd_ec3(X,Xa,Xb))))) # label(fact_def__orec3) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 120 (all X all Xa all Xb (pp(scratc1811262594nd_ec3(X,Xa,Xb)) <-> scratc158853071d_and3(scratc1800316151d_l_ec(X,Xa),scratc1800316151d_l_ec(Xa,Xb),scratc1800316151d_l_ec(Xb,X)))) # label(fact_def__ec3) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 121 (all X all Xa all Xb (scratc158853071d_and3(X,Xa,Xb) <-> pp(scratc1510036454_d_and(X,scratc1510036454_d_and(Xa,Xb))))) # label(fact_def__and3) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 122 (all X all Xa all Xb (pp(scratc1894861629nd_or3(X,Xa,Xb)) <-> pp(aa_bool_bool(scratc1800972156d_l_or(X),aa_bool_bool(scratc1800972156d_l_or(Xa),Xb))))) # label(fact_def__or3) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 123 (all X all Xa (pp(aa_fun171081125l_bool(scratc1905449261l_some(X),Xa)) <-> pp(scratc1617501634_d_not(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X)),scratc1886403386nd_non(X,Xa)))))) # label(fact_def__l__some) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 124 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(scratc1886403386nd_non(X,Xa),Xb)) <-> pp(scratc1617501634_d_not(aa_TPTP_ind_bool(Xa,Xb))))) # label(fact_def__non) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 125 (all X scratc1778807022nd_all(X) = scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X))) # label(fact_def__all) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 126 (all X all Xa (scratc256694256_l_iff(X,Xa) <-> pp(scratc1510036454_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1844964665nd_imp,X),Xa),aa_bool_bool(aa_boo1142376798l_bool(scratc1844964665nd_imp,Xa),X))))) # label(fact_def__l__iff) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 127 (all X all Xa (scratc382767284d_orec(X,Xa) <-> pp(scratc1510036454_d_and(aa_bool_bool(scratc1800972156d_l_or(X),Xa),scratc1800316151d_l_ec(X,Xa))))) # label(fact_def__orec) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 128 (all X scratc1800972156d_l_or(X) = aa_boo1142376798l_bool(scratc1844964665nd_imp,scratc1617501634_d_not(X))) # label(fact_def__l__or) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 129 (all X all Xa (pp(scratc1510036454_d_and(X,Xa)) <-> pp(scratc1617501634_d_not(scratc1800316151d_l_ec(X,Xa))))) # label(fact_def__d__and) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 130 (all X all Xa (pp(scratc1800316151d_l_ec(X,Xa)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1844964665nd_imp,X),scratc1617501634_d_not(Xa))))) # label(fact_def__l__ec) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 131 scratc2140744724bvious <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1844964665nd_imp,fFalse),fFalse)) # label(fact_def__obvious) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 132 (all X (scratc1960100939nd_wel(X) <-> pp(scratc1617501634_d_not(scratc1617501634_d_not(X))))) # label(fact_def__wel) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 133 (all X (pp(scratc1617501634_d_not(X)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1844964665nd_imp,X),fFalse)))) # label(fact_def__d__not) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 134 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1272358858d_d_Pi,X),Xa) = aa_fun1431113780TP_ind(scratc1393785005_d_Sep(aa_TPTP_ind_TPTP_ind(scratc1866375442_power,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc471975124_Sigma,X),aTP_Lamm_bn(Xa)))),aa_fun1913827119d_bool(aTP_Lamm_bo(X),Xa))) # label(fact_def__d__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 135 (all X (gg_TPTP_ind(X) -> (pp(aa_TPTP_ind_bool(scratc1734164355pair_p,X)) <-> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1023171309d_pair,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,X),scratc507836936ptyset)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,X),aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,scratc507836936ptyset))) = X))) # label(fact_def__pair__p) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 136 (all X all Xa aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,X),Xa) = aa_fun277296641TP_ind(scratc122744286eplSep(X,aa_TPT43085870d_bool(aTP_Lamm_bp,Xa)),scratc1994889281_proj1)) # label(fact_def__ap) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 137 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1511337478etprod(X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc471975124_Sigma,X),aTP_Lamm_ah(Xa))) # label(fact_def__setprod) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 138 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc471975124_Sigma,X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc873277488munion,X),aTP_Lamm_bq(Xa))) # label(fact_def__d__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 139 (all X aa_TPTP_ind_TPTP_ind(scratc1994889281_proj1,X) = aa_fun277296641TP_ind(scratc122744286eplSep(X,aTP_Lamm_br),scratc1410898400_d_Unj)) # label(fact_def__proj1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 140 (all X aa_TPTP_ind_TPTP_ind(scratc1994889280_proj0,X) = aa_fun277296641TP_ind(scratc122744286eplSep(X,aTP_Lamm_bs),scratc1410898400_d_Unj)) # label(fact_def__proj0) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 141 (all X all Xa aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1023171309d_pair,X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1867134587nunion(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc470367266d_repl,X),scratc496768348d_Inj0)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc470367266d_repl,Xa),scratc496768349d_Inj1))) # label(fact_def__pair) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 142 (all X aa_TPTP_ind_TPTP_ind(scratc496768348d_Inj0,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc470367266d_repl,X),scratc496768349d_Inj1)) # label(fact_def__d__Inj0) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 143 (all X (pp(aa_TPTP_ind_bool(scratc261741410_nat_p,X)) <-> (all X1 (pp(aa_TPTP_ind_bool(X1,scratc507836936ptyset)) -> ((all X2 (gg_TPTP_ind(X2) -> (pp(aa_TPTP_ind_bool(X1,X2)) -> pp(aa_TPTP_ind_bool(X1,aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,X2)))))) -> pp(aa_TPTP_ind_bool(X1,X))))))) # label(fact_def__nat__p) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 144 (all X aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,X) = aa_TPTP_ind_TPTP_ind(scratc1867134587nunion(X),aa_TPTP_ind_TPTP_ind(scratc1819144320d_Sing,X))) # label(fact_def__ordsucc) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 145 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1997991514In_rec(X),Xa) = scratc1812115445nd_eps(aa_TPT43085870d_bool(scratc436719021_rec_G(X),Xa))) # label(fact_def__d__In__rec) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 146 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc436719021_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(scratc1473466616bnd_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].
% 1.21/1.59 147 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1783420129tminus(X),Xa) = aa_fun1431113780TP_ind(scratc1393785005_d_Sep(X),aa_TPT43085870d_bool(aTP_Lamm_bv,Xa))) # label(fact_def__setminus) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 148 (all X all Xa scratc122744286eplSep(X,Xa) = aa_TPT494704832TP_ind(scratc470367266d_repl,aa_fun1431113780TP_ind(scratc1393785005_d_Sep(X),Xa))) # label(fact_def__d__ReplSep) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 149 (all X all Xa aa_fun1431113780TP_ind(scratc1393785005_d_Sep(X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1473466608bnd_if(fEx_TPTP_ind(cOMBS_2003118649l_bool(cOMBB_658106424TP_ind(fconj,aa_TPT43085870d_bool(cOMBC_1555011498d_bool(scratc1473466616bnd_in),X)),Xa)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc470367266d_repl,X),aa_fun1235454963TP_ind(aTP_Lamm_bw(X),Xa))),scratc507836936ptyset)) # label(fact_def__d__Sep) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 150 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc873277488munion,X),Xa) = aa_TPTP_ind_TPTP_ind(scratc226153660_union,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc470367266d_repl,X),Xa))) # label(fact_def__famunion) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.59 151 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1867134587nunion(X),Xa) = aa_TPTP_ind_TPTP_ind(scratc226153660_union,aa_TPTP_ind_TPTP_ind(scratc366461502_UPair(X),Xa))) # label(fact_def__binunion) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 152 (all X aa_TPTP_ind_TPTP_ind(scratc1819144320d_Sing,X) = aa_TPTP_ind_TPTP_ind(scratc366461502_UPair(X),X)) # label(fact_def__d__Sing) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 153 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc366461502_UPair(X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc470367266d_repl,aa_TPTP_ind_TPTP_ind(scratc1866375442_power,aa_TPTP_ind_TPTP_ind(scratc1866375442_power,scratc507836936ptyset))),aa_TPT1424761345TP_ind(aTP_Lamm_bx(X),Xa))) # label(fact_def__d__UPair) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 154 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1883910624nd_nIn,X),Xa)) <-> -pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X),Xa)))) # label(fact_def__nIn) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 155 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1473466608bnd_if(X,Xa),Xb) = scratc1812115445nd_eps(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_by(X),Xa),Xb))) # label(fact_def__if) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 156 (all X (pp(aa_TPTP_ind_bool(scratc735242921closed,X)) <-> pp(aa_TPTP_ind_bool(scratc26129578closed,X)) & pp(aa_TPTP_ind_bool(scratc190862592closed,X)) & pp(aa_TPTP_ind_bool(scratc2046303436closed,X)))) # label(fact_def__d__ZF__closed) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 157 (all X (pp(aa_TPTP_ind_bool(scratc2046303436closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X1),X)) -> (all X2 ((all X3 (gg_TPTP_ind(X3) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X3),X1)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,aa_TPTP_ind_TPTP_ind(X2,X3)),X))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc470367266d_repl,X1),X2)),X))))))))) # label(fact_def__d__Repl__closed) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 158 (all X (pp(aa_TPTP_ind_bool(scratc190862592closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X1),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,aa_TPTP_ind_TPTP_ind(scratc1866375442_power,X1)),X))))))) # label(fact_def__d__Power__closed) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 159 (all X (pp(aa_TPTP_ind_bool(scratc26129578closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X1),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,aa_TPTP_ind_TPTP_ind(scratc226153660_union,X1)),X))))))) # label(fact_def__d__Union__closed) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 160 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1917495202d_Subq,X),Xa)) <-> (all X2 (gg_TPTP_ind(X2) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X2),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X2),Xa))))))) # label(fact_def__d__Subq) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 161 (all X all Xa (pp(aa_fun171081125l_bool(scratc647304805all_of(X),Xa)) <-> (all X2 (gg_TPTP_ind(X2) -> (scratc375097204_is_of(X2,X) -> pp(aa_TPTP_ind_bool(Xa,X2))))))) # label(fact_def__all__of) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 162 (all X all Xa (scratc375097204_is_of(X,Xa) <-> pp(aa_TPTP_ind_bool(Xa,X)))) # label(fact_def__is__of) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 163 (all X0 (pp(aa_fun171081125l_bool(scratc501790255n_some,X0)) -> pp(aa_fun171081125l_bool(scratc1050802539_n_one,scratc1877748287nd_min(X0))))) # label(fact_satz27a) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 164 (all X0 (pp(aa_fun171081125l_bool(scratc501790255n_some,X0)) -> pp(aa_fun171081125l_bool(scratc501790255n_some,scratc1877748287nd_min(X0))))) # label(fact_satz27) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 165 (all X0 pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_tn,X0)),aa_TPT43085870d_bool(aTP_Lamm_tp,X0)))) # label(fact_isseti) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 166 (all X0 all X12 pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X0)),aa_fun1584354236d_bool(aTP_Lamm_tq(X0),X12)))) # label(fact_estie) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 167 (all X0 all X12 pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X0)),aa_fun1584354236d_bool(aTP_Lamm_tr(X0),X12)))) # label(fact_estii) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 168 (all X0 all X12 scratc375097204_is_of(aa_fun1431113780TP_ind(scratc1393785005_d_Sep(X0),X12),aa_TPT43085870d_bool(aTP_Lamm_tn,X0))) # label(fact_setof__p) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 169 (all X0 all X12 pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X0)),aa_TPT43085870d_bool(aTP_Lamm_tt(X0),X12)))) # label(fact_secondis1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 170 (all X0 all X12 pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X0)),aa_TPT43085870d_bool(aTP_Lamm_tv(X0),X12)))) # label(fact_firstis1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 171 (all X0 all X12 pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_tw(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_tx(X0),X12)))) # label(fact_pairis1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 172 (all X0 all X12 pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_tw(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_ty(X0),X12)))) # label(fact_second__p) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 173 (all X0 all X12 pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_tw(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_tz(X0),X12)))) # label(fact_first__p) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 174 (all X0 all X12 pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X0)),aa_TPT43085870d_bool(aTP_Lamm_ub(X0),X12)))) # label(fact_e__pair__p) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 175 (all X0 all X12 pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X0)),aa_fun1584354236d_bool(aTP_Lamm_uc(X0),X12)))) # label(fact_otax2) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 176 (all X0 all X12 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1695534484ective(aa_fun1431113780TP_ind(scratc1393785005_d_Sep(X0),X12)),X0),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc471975124_Sigma,aa_fun1431113780TP_ind(scratc1393785005_d_Sep(X0),X12)),scratc266079479d_e_in(X0,X12))))) # label(fact_otax1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 177 (all X0 all X12 pp(aa_fun171081125l_bool(scratc647304805all_of(aa_fun1584354236d_bool(aTP_Lamm_ud(X0),X12)),aa_fun1584354236d_bool(aTP_Lamm_ue(X0),X12)))) # label(fact_e__inp) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 178 (all X0 all X12 pp(aa_fun171081125l_bool(scratc647304805all_of(aa_fun1584354236d_bool(aTP_Lamm_ud(X0),X12)),aa_fun1584354236d_bool(aTP_Lamm_uf(X0),X12)))) # label(fact_e__in__p) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 179 (all X0 all X12 pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_ug(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_uj(X0),X12)))) # label(fact_e__fisi) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 180 (all X0 all X12 (pp(aa_fun171081125l_bool(scratc1894599283nd_one(X0),X12)) -> pp(aa_TPTP_ind_bool(X12,scratc1845030252nd_ind(X0,X12))))) # label(fact_oneax) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 181 (all X0 all X12 (pp(aa_fun171081125l_bool(scratc1894599283nd_one(X0),X12)) -> scratc375097204_is_of(scratc1845030252nd_ind(X0,X12),aa_TPT43085870d_bool(aTP_Lamm_as,X0)))) # label(fact_ind__p) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 182 (all X0 all X12 pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X0)),aa_fun1584354236d_bool(aTP_Lamm_ul(X0),X12)))) # label(fact_e__isp) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 183 (all X0 pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X0)),aa_TPT43085870d_bool(aTP_Lamm_um,X0)))) # label(fact_refis) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 184 (all X0 (scratc1960100939nd_wel(X0) -> pp(X0))) # label(fact_l__et) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 185 (all X0 all X12 all X22 all X32 (pp(X0) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1473466608bnd_if(X0,X22),X32))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X12),X22))))) # label(fact_k__If__In__then__E) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 186 (all X0 all X12 all X22 ((pp(X0) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X12),X22))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,aa_TPTP_ind_TPTP_ind(scratc1473466608bnd_if(X0,X12),scratc507836936ptyset)),aa_TPTP_ind_TPTP_ind(scratc1473466608bnd_if(X0,X22),aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,scratc507836936ptyset)))))) # label(fact_k__If__In__01) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 187 (all X0 all X12 all X22 ((all X33 (gg_TPTP_ind(X33) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X33),X0)) -> aa_TPTP_ind_TPTP_ind(X12,X33) = aa_TPTP_ind_TPTP_ind(X22,X33)))) -> aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc471975124_Sigma,X0),X12) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc471975124_Sigma,X0),X22))) # label(fact_xi__ext) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 188 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1272358858d_d_Pi,X0),X12))) -> (all X32 (gg_TPTP_ind(X32) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X32),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1272358858d_d_Pi,X0),X12))) -> ((all X42 (gg_TPTP_ind(X42) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X42),X0)) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,X22),X42) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,X32),X42)))) -> X22 = X32))))))) # label(fact_k__Pi__ext) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 189 (all X0 all X12 all X22 all X32 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1272358858d_d_Pi,X0),X12))) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X32),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,X22),X32)),aa_TPTP_ind_TPTP_ind(X12,X32)))))) # label(fact_ap__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 190 (all X0 all X12 all X22 ((all X33 (gg_TPTP_ind(X33) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X33),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,aa_TPTP_ind_TPTP_ind(X22,X33)),aa_TPTP_ind_TPTP_ind(X12,X33)))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc471975124_Sigma,X0),X22)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1272358858d_d_Pi,X0),X12))))) # label(fact_lam__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 191 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X22),X0)) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc471975124_Sigma,X0),X12)),X22) = aa_TPTP_ind_TPTP_ind(X12,X22))) # label(fact_beta) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 192 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc471975124_Sigma,X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,aa_TPTP_ind_TPTP_ind(scratc1994889281_proj1,X22)),aa_TPTP_ind_TPTP_ind(X12,aa_TPTP_ind_TPTP_ind(scratc1994889280_proj0,X22)))))) # label(fact_proj1__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 193 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc471975124_Sigma,X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,aa_TPTP_ind_TPTP_ind(scratc1994889280_proj0,X22)),X0)))) # label(fact_proj0__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 194 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc471975124_Sigma,X0),X12))) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1023171309d_pair,aa_TPTP_ind_TPTP_ind(scratc1994889280_proj0,X22)),aa_TPTP_ind_TPTP_ind(scratc1994889281_proj1,X22)) = X22))) # label(fact_proj__Sigma__eta) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 195 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc471975124_Sigma,X0),X12))) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1023171309d_pair,aa_TPTP_ind_TPTP_ind(scratc1994889280_proj0,X22)),aa_TPTP_ind_TPTP_ind(scratc1994889281_proj1,X22)) = X22 & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,aa_TPTP_ind_TPTP_ind(scratc1994889280_proj0,X22)),X0)) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,aa_TPTP_ind_TPTP_ind(scratc1994889281_proj1,X22)),aa_TPTP_ind_TPTP_ind(X12,aa_TPTP_ind_TPTP_ind(scratc1994889280_proj0,X22))))))) # label(fact_k__Sigma__eta__proj0__proj1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 196 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X22),X0)) -> (all X32 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X32),aa_TPTP_ind_TPTP_ind(X12,X22))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1023171309d_pair,X22),X32)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc471975124_Sigma,X0),X12))))))) # label(fact_pair__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 197 (all X0 all X12 (gg_TPTP_ind(X12) -> aa_TPTP_ind_TPTP_ind(scratc1994889281_proj1,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1023171309d_pair,X0),X12)) = X12)) # label(fact_proj1__pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 198 (all X0 all X12 (gg_TPTP_ind(X0) -> aa_TPTP_ind_TPTP_ind(scratc1994889280_proj0,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1023171309d_pair,X0),X12)) = X0)) # label(fact_proj0__pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 199 (all X0 (pp(aa_TPTP_ind_bool(scratc261741410_nat_p,X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X0),scratc1164544494_omega)))) # label(fact_nat__p__omega) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 200 (all X0 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X0),scratc1164544494_omega)) -> pp(aa_TPTP_ind_bool(scratc261741410_nat_p,X0)))) # label(fact_omega__nat__p) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 201 (all X0 (gg_TPTP_ind(X0) -> (pp(aa_TPTP_ind_bool(scratc261741410_nat_p,X0)) -> X0 = scratc507836936ptyset | (exists X13 (gg_TPTP_ind(X13) & pp(aa_TPTP_ind_bool(scratc261741410_nat_p,X13)) & X0 = aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,X13)))))) # label(fact_nat__inv) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 202 (all X0 (pp(aa_TPTP_ind_bool(X0,scratc507836936ptyset)) -> ((all X13 (gg_TPTP_ind(X13) -> (pp(aa_TPTP_ind_bool(scratc261741410_nat_p,X13)) -> (pp(aa_TPTP_ind_bool(X0,X13)) -> pp(aa_TPTP_ind_bool(X0,aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,X13))))))) -> (all X12 (pp(aa_TPTP_ind_bool(scratc261741410_nat_p,X12)) -> pp(aa_TPTP_ind_bool(X0,X12))))))) # label(fact_nat__ind) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 203 (all X0 (pp(aa_TPTP_ind_bool(scratc261741410_nat_p,X0)) -> pp(aa_TPTP_ind_bool(scratc261741410_nat_p,aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,X0))))) # label(fact_nat__ordsucc) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 204 (all X0 all X12 (gg_TPTP_ind(X0) & gg_TPTP_ind(X12) -> (aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,X0) = aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,X12) -> X0 = X12))) # label(fact_ordsucc__inj) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 205 (all X0 aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,X0) != scratc507836936ptyset) # label(fact_neq__ordsucc__0) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 206 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X22),aa_fun1431113780TP_ind(scratc1393785005_d_Sep(X0),X12))) -> pp(aa_TPTP_ind_bool(X12,X22)))) # label(fact_k__SepE2) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 207 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X22),aa_fun1431113780TP_ind(scratc1393785005_d_Sep(X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X22),X0)))) # label(fact_k__SepE1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 208 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X22),X0)) -> (pp(aa_TPTP_ind_bool(X12,X22)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X22),aa_fun1431113780TP_ind(scratc1393785005_d_Sep(X0),X12)))))) # label(fact_k__SepI) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 209 (all X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X0),aa_TPTP_ind_TPTP_ind(scratc1866375442_power,X0)))) # label(fact_k__Self__In__Power) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 210 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1917495202d_Subq,X12),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1866375442_power,X0))))) # label(fact_k__PowerI) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 211 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1866375442_power,X0))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1917495202d_Subq,X12),X0)))) # label(fact_k__PowerE) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 212 (all X0 all X12 all X22 (gg_TPTP_ind(X12) & gg_TPTP_ind(X22) -> aa_TPTP_ind_TPTP_ind(scratc1473466608bnd_if(X0,X12),X22) = X12 | aa_TPTP_ind_TPTP_ind(scratc1473466608bnd_if(X0,X12),X22) = X22)) # label(fact_if__i__or) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 213 (all X0 all X12 all X22 (gg_TPTP_ind(X12) -> (pp(X0) -> aa_TPTP_ind_TPTP_ind(scratc1473466608bnd_if(X0,X12),X22) = X12))) # label(fact_if__i__1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 214 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (-pp(X0) -> aa_TPTP_ind_TPTP_ind(scratc1473466608bnd_if(X0,X12),X22) = X22))) # label(fact_if__i__0) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 215 (all X0 all X12 all X22 (gg_TPTP_ind(X12) & gg_TPTP_ind(X22) -> pp(X0) & aa_TPTP_ind_TPTP_ind(scratc1473466608bnd_if(X0,X12),X22) = X12 | -pp(X0) & aa_TPTP_ind_TPTP_ind(scratc1473466608bnd_if(X0,X12),X22) = X22)) # label(fact_if__i__correct) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 216 (all X0 pp(aa_TPTP_ind_bool(scratc735242921closed,aa_TPTP_ind_TPTP_ind(scratc694798192univof,X0)))) # label(fact_k__UnivOf__ZF__closed) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 217 (all X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X0),aa_TPTP_ind_TPTP_ind(scratc694798192univof,X0)))) # label(fact_k__UnivOf__In) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 218 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc470367266d_repl,X0),X12))) <-> (exists X3 (gg_TPTP_ind(X3) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X3),X0)) & X22 = aa_TPTP_ind_TPTP_ind(X12,X3)))))) # label(fact_k__ReplEq) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 219 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1866375442_power,X0))) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1917495202d_Subq,X12),X0)))) # label(fact_k__PowerEq) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 220 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc226153660_union,X0))) <-> (exists X2 (gg_TPTP_ind(X2) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X12),X2)) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X2),X0)))))) # label(fact_k__UnionEq) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 221 -(exists X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X0),scratc507836936ptyset))) # label(fact_k__EmptyAx) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 222 (all X0 ((all X13 (gg_TPTP_ind(X13) -> ((all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_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].
% 1.21/1.60 223 (all X0 all X12 (gg_TPTP_ind(X0) & gg_TPTP_ind(X12) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1917495202d_Subq,X0),X12)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1917495202d_Subq,X12),X0)) -> X0 = X12)))) # label(fact_set__ext) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 224 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tc,Uu)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1886009797nd_nis,Uu),scratc1592301494nd_n_1)) -> pp(aa_fun171081125l_bool(scratc501790255n_some,aa_TPT43085870d_bool(aTP_Lamm_ap,Uu)))))) # label(fact_ATP_Olambda__1) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 225 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tb,Uu)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1886009797nd_nis,Uu),scratc1592301494nd_n_1)) -> pp(aa_fun171081125l_bool(scratc1050802539_n_one,aa_TPT43085870d_bool(aTP_Lamm_ap,Uu)))))) # label(fact_ATP_Olambda__2) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 226 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sy,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),scratc1592301494nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uu))))) # label(fact_ATP_Olambda__3) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 227 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_la,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),scratc1592301494nd_n_1)),Uu)))) # label(fact_ATP_Olambda__4) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 228 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sv,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(scratc1592301494nd_n_1),Uu)),aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uu))))) # label(fact_ATP_Olambda__5) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 229 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kx,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(scratc1592301494nd_n_1),Uu)),Uu)))) # label(fact_ATP_Olambda__6) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 230 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ta,Uu)) <-> pp(aa_fun171081125l_bool(scratc1894599283nd_one(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1272358858d_d_Pi,scratc1885485006nd_nat),aTP_Lamm_aj)),aa_TPT43085870d_bool(aTP_Lamm_sz,Uu))))) # label(fact_ATP_Olambda__7) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 231 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1894599283nd_one(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1272358858d_d_Pi,scratc1885485006nd_nat),aTP_Lamm_aj)),aa_TPT43085870d_bool(aTP_Lamm_lb,Uu))))) # label(fact_ATP_Olambda__8) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 232 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ti,Uu)) <-> (pp(aa_TPTP_ind_bool(scratc2010006012_cond1,Uu)) -> (pp(aa_TPTP_ind_bool(scratc2010006013_cond2,Uu)) -> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_th,Uu))))))) # label(fact_ATP_Olambda__9) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 233 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ss,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),scratc1592301494nd_n_1))))) # label(fact_ATP_Olambda__10) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 234 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sp,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(scratc1592301494nd_n_1),Uu))))) # label(fact_ATP_Olambda__11) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 235 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pp,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uu)),Uu)))) # label(fact_ATP_Olambda__12) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 236 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_td,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1886009797nd_nis,aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uu)),Uu)))) # label(fact_ATP_Olambda__13) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 237 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tm,Uu)) <-> scratc375097204_is_of(aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uu),aTP_Lamm_de))) # label(fact_ATP_Olambda__14) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 238 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lu,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uu)),scratc1592301494nd_n_1)))) # label(fact_ATP_Olambda__15) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 239 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tl,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1886009797nd_nis,aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uu)),scratc1592301494nd_n_1)))) # label(fact_ATP_Olambda__16) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 240 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ku,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),scratc1592301494nd_n_1))))) # label(fact_ATP_Olambda__17) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 241 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kr,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(scratc1592301494nd_n_1),Uu))))) # label(fact_ATP_Olambda__18) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 242 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_po,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uu),aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uu))))) # label(fact_ATP_Olambda__19) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 243 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tg,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,Uu),aa_TPTP_ind_TPTP_ind(scratc1866375442_power,scratc1885485006nd_nat))))) # label(fact_ATP_Olambda__20) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 244 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gx,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,Uu),Uu)))) # label(fact_ATP_Olambda__21) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 245 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lv,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,Uu),scratc1592301494nd_n_1)))) # label(fact_ATP_Olambda__22) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 246 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_a,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,Uu),scratc1947154689d_frac)))) # label(fact_ATP_Olambda__23) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 247 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_de,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,Uu),scratc1885485006nd_nat)))) # label(fact_ATP_Olambda__24) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 248 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tk,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_tj,Uu))))) # label(fact_ATP_Olambda__25) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 249 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tf,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_te,Uu))))) # label(fact_ATP_Olambda__26) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 250 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sx,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_sw,Uu))))) # label(fact_ATP_Olambda__27) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 251 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_su,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_st,Uu))))) # label(fact_ATP_Olambda__28) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 252 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sr,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_sq,Uu))))) # label(fact_ATP_Olambda__29) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 253 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_so,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_sn,Uu))))) # label(fact_ATP_Olambda__30) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 254 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sm,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_sl,Uu))))) # label(fact_ATP_Olambda__31) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 255 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sj,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_si,Uu))))) # label(fact_ATP_Olambda__32) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 256 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sh,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_sg,Uu))))) # label(fact_ATP_Olambda__33) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 257 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sf,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_se,Uu))))) # label(fact_ATP_Olambda__34) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 258 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sc,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_sb,Uu))))) # label(fact_ATP_Olambda__35) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 259 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rz,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ry,Uu))))) # label(fact_ATP_Olambda__36) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 260 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rx,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_rw,Uu))))) # label(fact_ATP_Olambda__37) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 261 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rt,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_rs,Uu))))) # label(fact_ATP_Olambda__38) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 262 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rr,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_rq,Uu))))) # label(fact_ATP_Olambda__39) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 263 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rp,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ro,Uu))))) # label(fact_ATP_Olambda__40) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 264 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rn,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_rm,Uu))))) # label(fact_ATP_Olambda__41) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 265 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rl,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_rk,Uu))))) # label(fact_ATP_Olambda__42) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 266 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rj,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ri,Uu))))) # label(fact_ATP_Olambda__43) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 267 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rh,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_rg,Uu))))) # label(fact_ATP_Olambda__44) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 268 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rf,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_re,Uu))))) # label(fact_ATP_Olambda__45) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 269 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rd,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_rc,Uu))))) # label(fact_ATP_Olambda__46) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 270 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rb,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ra,Uu))))) # label(fact_ATP_Olambda__47) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 271 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qz,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_qy,Uu))))) # label(fact_ATP_Olambda__48) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 272 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qx,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_qw,Uu))))) # label(fact_ATP_Olambda__49) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 273 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qv,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_qu,Uu))))) # label(fact_ATP_Olambda__50) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 274 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qt,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_qs,Uu))))) # label(fact_ATP_Olambda__51) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 275 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qr,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_qq,Uu))))) # label(fact_ATP_Olambda__52) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 276 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qp,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_qo,Uu))))) # label(fact_ATP_Olambda__53) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 277 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qn,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_qm,Uu))))) # label(fact_ATP_Olambda__54) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 278 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ql,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_qk,Uu))))) # label(fact_ATP_Olambda__55) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 279 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qi,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_qh,Uu))))) # label(fact_ATP_Olambda__56) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 280 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qf,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_qe,Uu))))) # label(fact_ATP_Olambda__57) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 281 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qc,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_qb,Uu))))) # label(fact_ATP_Olambda__58) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 282 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pz,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_py,Uu))))) # label(fact_ATP_Olambda__59) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 283 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pw,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_pv,Uu))))) # label(fact_ATP_Olambda__60) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 284 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pt,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ps,Uu))))) # label(fact_ATP_Olambda__61) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 285 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pr,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_pq,Uu))))) # label(fact_ATP_Olambda__62) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 286 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pn,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_pm,Uu))))) # label(fact_ATP_Olambda__63) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 287 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pk,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_pj,Uu))))) # label(fact_ATP_Olambda__64) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 288 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ph,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_pg,Uu))))) # label(fact_ATP_Olambda__65) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 289 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pe,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_pd,Uu))))) # label(fact_ATP_Olambda__66) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 290 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pb,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_pa,Uu))))) # label(fact_ATP_Olambda__67) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 291 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oy,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ox,Uu))))) # label(fact_ATP_Olambda__68) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 292 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ov,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ou,Uu))))) # label(fact_ATP_Olambda__69) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 293 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_or,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_oq,Uu))))) # label(fact_ATP_Olambda__70) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 294 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_on,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_om,Uu))))) # label(fact_ATP_Olambda__71) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 295 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oj,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_oi,Uu))))) # label(fact_ATP_Olambda__72) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 296 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_of,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_oe,Uu))))) # label(fact_ATP_Olambda__73) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 297 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oc,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ob,Uu))))) # label(fact_ATP_Olambda__74) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 298 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nz,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ny,Uu))))) # label(fact_ATP_Olambda__75) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 299 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nw,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_nv,Uu))))) # label(fact_ATP_Olambda__76) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 300 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nt,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ns,Uu))))) # label(fact_ATP_Olambda__77) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 301 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nq,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_np,Uu))))) # label(fact_ATP_Olambda__78) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 302 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nn,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_nm,Uu))))) # label(fact_ATP_Olambda__79) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 303 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nk,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_nj,Uu))))) # label(fact_ATP_Olambda__80) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 304 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nh,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ng,Uu))))) # label(fact_ATP_Olambda__81) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 305 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ne,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_nd,Uu))))) # label(fact_ATP_Olambda__82) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 306 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nb,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_na,Uu))))) # label(fact_ATP_Olambda__83) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 307 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mx,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_mw,Uu))))) # label(fact_ATP_Olambda__84) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 308 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mt,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ms,Uu))))) # label(fact_ATP_Olambda__85) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 309 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mp,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_mo,Uu))))) # label(fact_ATP_Olambda__86) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 310 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ml,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_mk,Uu))))) # label(fact_ATP_Olambda__87) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 311 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mh,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_mg,Uu))))) # label(fact_ATP_Olambda__88) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 312 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_md,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_mc,Uu))))) # label(fact_ATP_Olambda__89) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 313 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lz,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ly,Uu))))) # label(fact_ATP_Olambda__90) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 314 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ls,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_lr,Uu))))) # label(fact_ATP_Olambda__91) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 315 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lq,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_lp,Uu))))) # label(fact_ATP_Olambda__92) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 316 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lo,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ln,Uu))))) # label(fact_ATP_Olambda__93) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 317 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lm,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ll,Uu))))) # label(fact_ATP_Olambda__94) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 318 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lk,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_lj,Uu))))) # label(fact_ATP_Olambda__95) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 319 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_li,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_lh,Uu))))) # label(fact_ATP_Olambda__96) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 320 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lg,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_lf,Uu))))) # label(fact_ATP_Olambda__97) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 321 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_le,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ld,Uu))))) # label(fact_ATP_Olambda__98) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 322 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kz,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ky,Uu))))) # label(fact_ATP_Olambda__99) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 323 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kw,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_kv,Uu))))) # label(fact_ATP_Olambda__100) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 324 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kt,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ks,Uu))))) # label(fact_ATP_Olambda__101) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 325 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kq,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_kp,Uu))))) # label(fact_ATP_Olambda__102) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 326 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ko,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_kn,Uu))))) # label(fact_ATP_Olambda__103) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 327 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_km,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_kl,Uu))))) # label(fact_ATP_Olambda__104) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 328 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kj,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ki,Uu))))) # label(fact_ATP_Olambda__105) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 329 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kg,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_kf,Uu))))) # label(fact_ATP_Olambda__106) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 330 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kd,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_kc,Uu))))) # label(fact_ATP_Olambda__107) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 331 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ka,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_jz,Uu))))) # label(fact_ATP_Olambda__108) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 332 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jx,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_jw,Uu))))) # label(fact_ATP_Olambda__109) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 333 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ju,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_jt,Uu))))) # label(fact_ATP_Olambda__110) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 334 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jr,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_jq,Uu))))) # label(fact_ATP_Olambda__111) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 335 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jo,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_jn,Uu))))) # label(fact_ATP_Olambda__112) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 336 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jk,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_jj,Uu))))) # label(fact_ATP_Olambda__113) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 337 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jg,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_jf,Uu))))) # label(fact_ATP_Olambda__114) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 338 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jc,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_jb,Uu))))) # label(fact_ATP_Olambda__115) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 339 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_iy,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ix,Uu))))) # label(fact_ATP_Olambda__116) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 340 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_iv,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_iu,Uu))))) # label(fact_ATP_Olambda__117) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 341 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_is,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ir,Uu))))) # label(fact_ATP_Olambda__118) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 342 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ip,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_io,Uu))))) # label(fact_ATP_Olambda__119) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 343 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_im,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_il,Uu))))) # label(fact_ATP_Olambda__120) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 344 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ij,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ii,Uu))))) # label(fact_ATP_Olambda__121) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 345 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ig,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_if,Uu))))) # label(fact_ATP_Olambda__122) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 346 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_id,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ic,Uu))))) # label(fact_ATP_Olambda__123) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 347 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hz,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_hy,Uu))))) # label(fact_ATP_Olambda__124) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 348 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hv,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_hu,Uu))))) # label(fact_ATP_Olambda__125) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 349 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hr,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_hq,Uu))))) # label(fact_ATP_Olambda__126) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 350 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hn,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_hm,Uu))))) # label(fact_ATP_Olambda__127) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 351 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hj,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_hi,Uu))))) # label(fact_ATP_Olambda__128) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 352 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hf,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_he,Uu))))) # label(fact_ATP_Olambda__129) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 353 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hb,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ha,Uu))))) # label(fact_ATP_Olambda__130) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 354 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gr,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_gq,Uu))))) # label(fact_ATP_Olambda__131) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 355 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gp,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_go,Uu))))) # label(fact_ATP_Olambda__132) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 356 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gn,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_gm,Uu))))) # label(fact_ATP_Olambda__133) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 357 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gk,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_gj,Uu))))) # label(fact_ATP_Olambda__134) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 358 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dk,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_dj,Uu))))) # label(fact_ATP_Olambda__135) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 359 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dh,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_dg,Uu))))) # label(fact_ATP_Olambda__136) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 360 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gw,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gv,Uu))))) # label(fact_ATP_Olambda__137) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 361 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gu,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gt,Uu))))) # label(fact_ATP_Olambda__138) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 362 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gh,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gg,Uu))))) # label(fact_ATP_Olambda__139) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 363 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gf,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ge,Uu))))) # label(fact_ATP_Olambda__140) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 364 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gd,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gc,Uu))))) # label(fact_ATP_Olambda__141) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 365 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gb,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ga,Uu))))) # label(fact_ATP_Olambda__142) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 366 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fz,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fy,Uu))))) # label(fact_ATP_Olambda__143) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 367 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fx,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fw,Uu))))) # label(fact_ATP_Olambda__144) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 368 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ft,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fs,Uu))))) # label(fact_ATP_Olambda__145) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 369 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fp,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fo,Uu))))) # label(fact_ATP_Olambda__146) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 370 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fn,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fm,Uu))))) # label(fact_ATP_Olambda__147) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 371 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fl,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fk,Uu))))) # label(fact_ATP_Olambda__148) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 372 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fj,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fi,Uu))))) # label(fact_ATP_Olambda__149) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 373 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fh,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fg,Uu))))) # label(fact_ATP_Olambda__150) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 374 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ff,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fe,Uu))))) # label(fact_ATP_Olambda__151) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 375 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fd,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fc,Uu))))) # label(fact_ATP_Olambda__152) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 376 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fb,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fa,Uu))))) # label(fact_ATP_Olambda__153) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 377 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ez,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ey,Uu))))) # label(fact_ATP_Olambda__154) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 378 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ev,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_eu,Uu))))) # label(fact_ATP_Olambda__155) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 379 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_er,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_eq,Uu))))) # label(fact_ATP_Olambda__156) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 380 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ep,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_eo,Uu))))) # label(fact_ATP_Olambda__157) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 381 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_en,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_em,Uu))))) # label(fact_ATP_Olambda__158) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 382 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ek,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ej,Uu))))) # label(fact_ATP_Olambda__159) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 383 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_eh,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_eg,Uu))))) # label(fact_ATP_Olambda__160) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 384 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ee,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ed,Uu))))) # label(fact_ATP_Olambda__161) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 385 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_eb,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ea,Uu))))) # label(fact_ATP_Olambda__162) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 386 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dy,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dx,Uu))))) # label(fact_ATP_Olambda__163) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 387 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dr,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dq,Uu))))) # label(fact_ATP_Olambda__164) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 388 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_do,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dn,Uu))))) # label(fact_ATP_Olambda__165) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 389 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dd,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dc,Uu))))) # label(fact_ATP_Olambda__166) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 390 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_db,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_da,Uu))))) # label(fact_ATP_Olambda__167) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 391 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cy,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cx,Uu))))) # label(fact_ATP_Olambda__168) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 392 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cw,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cv,Uu))))) # label(fact_ATP_Olambda__169) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 393 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cu,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ct,Uu))))) # label(fact_ATP_Olambda__170) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 394 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cr,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cq,Uu))))) # label(fact_ATP_Olambda__171) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 395 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_co,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cn,Uu))))) # label(fact_ATP_Olambda__172) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 396 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cl,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ck,Uu))))) # label(fact_ATP_Olambda__173) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 397 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ci,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ch,Uu))))) # label(fact_ATP_Olambda__174) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 398 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cf,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ce,Uu))))) # label(fact_ATP_Olambda__175) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 399 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cc,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,Uu))))) # label(fact_ATP_Olambda__176) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 400 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ad,Uu)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,Uu))))) # label(fact_ATP_Olambda__177) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 401 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1905449261l_some(scratc1947154689d_frac),aa_TPT43085870d_bool(aTP_Lamm_du,Uu))))) # label(fact_ATP_Olambda__178) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 402 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dt,Uu)) <-> pp(aa_fun171081125l_bool(scratc1905449261l_some(scratc1947154689d_frac),aa_TPT43085870d_bool(aTP_Lamm_ds,Uu))))) # label(fact_ATP_Olambda__179) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 403 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lt,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,scratc1592301494nd_n_1),aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uu))))) # label(fact_ATP_Olambda__180) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 404 (all Uu aa_TPT494704832TP_ind(aTP_Lamm_bt,Uu) = aa_TPT494704832TP_ind(scratc470367266d_repl,aa_TPTP_ind_TPTP_ind(scratc1783420129tminus(Uu),aa_TPTP_ind_TPTP_ind(scratc1819144320d_Sing,scratc507836936ptyset)))) # label(fact_ATP_Olambda__181) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 405 (all Uu (gg_TPTP_ind(Uu) -> (pp(aa_TPTP_ind_bool(aTP_Lamm_ar,Uu)) <-> Uu != scratc507836936ptyset))) # label(fact_ATP_Olambda__182) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 406 (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(scratc496768349d_Inj1,X2) = Uu))))) # label(fact_ATP_Olambda__183) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 407 (all Uu (gg_TPTP_ind(Uu) -> (pp(aa_TPTP_ind_bool(aTP_Lamm_bs,Uu)) <-> (exists X2 (gg_TPTP_ind(X2) & aa_TPTP_ind_TPTP_ind(scratc496768348d_Inj0,X2) = Uu))))) # label(fact_ATP_Olambda__184) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 408 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ro,Uu),Uua)) <-> scratc772250751_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uu),Uua)))) # label(fact_ATP_Olambda__185) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 409 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gg,Uu),Uua)) <-> scratc772250751_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,Uu),Uua)))) # label(fact_ATP_Olambda__186) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 410 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rm,Uu),Uua)) <-> pp(scratc1894861629nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__187) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 411 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ge,Uu),Uua)) <-> pp(scratc1894861629nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__188) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 412 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rk,Uu),Uua)) <-> pp(scratc1811262594nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__189) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 413 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gc,Uu),Uua)) <-> pp(scratc1811262594nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__190) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 414 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rw,Uu),Uua)) <-> scratc772250751_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc501790255n_some,aa_TPT43085870d_bool(aTP_Lamm_ru(Uu),Uua)),aa_fun171081125l_bool(scratc501790255n_some,aa_TPT43085870d_bool(aTP_Lamm_rv(Uu),Uua))))) # label(fact_ATP_Olambda__191) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 415 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rs,Uu),Uua)) <-> pp(scratc1894861629nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc501790255n_some,aa_TPT43085870d_bool(scratc1789733883ffprop(Uu),Uua)),aa_fun171081125l_bool(scratc501790255n_some,aa_TPT43085870d_bool(scratc1789733883ffprop(Uua),Uu)))))) # label(fact_ATP_Olambda__192) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 416 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rq,Uu),Uua)) <-> pp(scratc1811262594nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc501790255n_some,aa_TPT43085870d_bool(scratc1789733883ffprop(Uu),Uua)),aa_fun171081125l_bool(scratc501790255n_some,aa_TPT43085870d_bool(scratc1789733883ffprop(Uua),Uu)))))) # label(fact_ATP_Olambda__193) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 417 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_um,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc266079484d_e_is(Uu),Uua),Uua)))) # label(fact_ATP_Olambda__194) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 418 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_go,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1932026695d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1886796979nd_num,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1803132346nd_den,Uu)),Uua))),Uu)))) # label(fact_ATP_Olambda__195) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 419 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kp,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uua)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uu)),Uua))))) # label(fact_ATP_Olambda__196) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 420 (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(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uua)),Uu)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uua)))))) # label(fact_ATP_Olambda__197) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 421 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sz,Uu),Uua)) <-> pp(scratc1510036454_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Uua),scratc1592301494nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uu)),aa_fun171081125l_bool(scratc935010278_n_all,aa_TPT43085870d_bool(aTP_Lamm_ao,Uua)))))) # label(fact_ATP_Olambda__198) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 422 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lf,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uua),scratc1592301494nd_n_1)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,Uua),Uu))))) # label(fact_ATP_Olambda__199) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 423 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lb,Uu),Uua)) <-> pp(scratc1510036454_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Uua),scratc1592301494nd_n_1)),Uu),aa_fun171081125l_bool(scratc935010278_n_all,aa_TPT43085870d_bool(aTP_Lamm_am(Uu),Uua)))))) # label(fact_ATP_Olambda__200) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 424 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tj,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__201) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.60 425 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kv,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uua)),Uua))))) # label(fact_ATP_Olambda__202) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 426 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ld,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uua)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,Uua),Uu))))) # label(fact_ATP_Olambda__203) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 427 (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(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uua)))))) # label(fact_ATP_Olambda__204) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 428 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lj,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uua),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),scratc1592301494nd_n_1))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Uua),Uu))))) # label(fact_ATP_Olambda__205) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 429 (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(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uua)),Uu))))) # label(fact_ATP_Olambda__206) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 430 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lh,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uua),aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uu))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Uua),Uu))))) # label(fact_ATP_Olambda__207) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 431 (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(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uua)))))) # label(fact_ATP_Olambda__208) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 432 (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(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Uu),aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Uu),Uua)))))) # label(fact_ATP_Olambda__209) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 433 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ln,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uua),scratc1592301494nd_n_1)),Uu))))) # label(fact_ATP_Olambda__210) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 434 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_te,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1886009797nd_nis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1886009797nd_nis,aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uua)))))) # label(fact_ATP_Olambda__211) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 435 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aq,Uu),Uua)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1844964665nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223488d_n_in,Uua),Uu)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223488d_n_in,aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uua)),Uu))))) # label(fact_ATP_Olambda__212) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 436 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ll,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uua)),Uu))))) # label(fact_ATP_Olambda__213) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 437 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lr,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,Uua),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),scratc1592301494nd_n_1)))))) # label(fact_ATP_Olambda__214) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 438 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lp,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,Uua),aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uu)))))) # label(fact_ATP_Olambda__215) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 439 (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(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uua),Uu))))) # label(fact_ATP_Olambda__216) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 440 (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(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uua),Uu))))) # label(fact_ATP_Olambda__217) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 441 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dc,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(Uua),Uu))))) # label(fact_ATP_Olambda__218) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 442 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ri,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uua),Uu))))) # label(fact_ATP_Olambda__219) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 443 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_re,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Uua),Uu))))) # label(fact_ATP_Olambda__220) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 444 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rc,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,Uua),Uu))))) # label(fact_ATP_Olambda__221) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 445 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eo,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313536952lesseq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858697_moreq,Uua),Uu))))) # label(fact_ATP_Olambda__222) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 446 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eq,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858697_moreq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313536952lesseq,Uua),Uu))))) # label(fact_ATP_Olambda__223) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 447 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ga,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,Uua),Uu))))) # label(fact_ATP_Olambda__224) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 448 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fy,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,Uua),Uu))))) # label(fact_ATP_Olambda__225) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 449 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gv,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,Uua),Uu))))) # label(fact_ATP_Olambda__226) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 450 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rg,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uua),Uu))))) # label(fact_ATP_Olambda__227) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 451 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dq,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,Uu),Uua)) -> pp(aa_fun171081125l_bool(scratc1905449261l_some(scratc1947154689d_frac),aa_TPT43085870d_bool(aTP_Lamm_dp(Uu),Uua)))))) # label(fact_ATP_Olambda__228) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 452 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qs,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uu),Uua)) -> pp(scratc1617501634_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Uu),Uua)))))) # label(fact_ATP_Olambda__229) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 453 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ra,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,Uu),Uua)) -> pp(scratc1617501634_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uu),Uua)))))) # label(fact_ATP_Olambda__230) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 454 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qy,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Uu),Uua)) -> pp(scratc1617501634_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uu),Uua)))))) # label(fact_ATP_Olambda__231) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 455 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fm,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313536952lesseq,Uu),Uua)) -> pp(scratc1617501634_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,Uu),Uua)))))) # label(fact_ATP_Olambda__232) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 456 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fo,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858697_moreq,Uu),Uua)) -> pp(scratc1617501634_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,Uu),Uua)))))) # label(fact_ATP_Olambda__233) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 457 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fg,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,Uu),Uua)) -> pp(scratc1617501634_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313536952lesseq,Uu),Uua)))))) # label(fact_ATP_Olambda__234) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 458 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fe,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,Uu),Uua)) -> pp(scratc1617501634_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858697_moreq,Uu),Uua)))))) # label(fact_ATP_Olambda__235) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 459 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qq,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uu),Uua)) -> pp(scratc1617501634_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,Uu),Uua)))))) # label(fact_ATP_Olambda__236) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 460 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ps,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uua)),Uu)))) # label(fact_ATP_Olambda__237) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 461 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cx,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(Uu),Uua)),Uu)))) # label(fact_ATP_Olambda__238) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 462 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_ak(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Uu),Uua)),Uua)) # label(fact_ATP_Olambda__239) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 463 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_bq(Uu),Uua) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc470367266d_repl,aa_TPTP_ind_TPTP_ind(Uu,Uua)),aa_TPT1424761345TP_ind(scratc1023171309d_pair,Uua))) # label(fact_ATP_Olambda__240) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 464 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_tn,Uu)),aa_TPT43085870d_bool(aTP_Lamm_to(Uu),Uua))))) # label(fact_ATP_Olambda__241) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 465 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sn,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uua))),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uu)),Uua))))) # label(fact_ATP_Olambda__242) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 466 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sq,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uua))),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uua)))))) # label(fact_ATP_Olambda__243) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 467 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qw,Uu),Uua)) <-> (pp(scratc1617501634_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Uu),Uua))))) # label(fact_ATP_Olambda__244) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 468 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qo,Uu),Uua)) <-> (pp(scratc1617501634_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__245) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 469 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qm,Uu),Uua)) <-> (pp(scratc1617501634_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__246) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 470 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fa,Uu),Uua)) <-> (pp(scratc1617501634_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313536952lesseq,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,Uu),Uua))))) # label(fact_ATP_Olambda__247) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 471 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fc,Uu),Uua)) <-> (pp(scratc1617501634_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858697_moreq,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__248) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 472 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fk,Uu),Uua)) <-> (pp(scratc1617501634_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313536952lesseq,Uu),Uua))))) # label(fact_ATP_Olambda__249) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 473 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fi,Uu),Uua)) <-> (pp(scratc1617501634_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858697_moreq,Uu),Uua))))) # label(fact_ATP_Olambda__250) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 474 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qu,Uu),Uua)) <-> (pp(scratc1617501634_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,Uu),Uua))))) # label(fact_ATP_Olambda__251) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 475 (all Uu all Uua aa_fun277296641TP_ind(aa_TPT494704832TP_ind(aTP_Lamm_bu,Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1867134587nunion(aa_TPTP_ind_TPTP_ind(scratc1819144320d_Sing,scratc507836936ptyset)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc470367266d_repl,Uu),Uua))) # label(fact_ATP_Olambda__252) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 476 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gq,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,Uu),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1932026695d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1886796979nd_num,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1803132346nd_den,Uu)),Uua)))))) # label(fact_ATP_Olambda__253) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 477 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cv,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,Uu),aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(Uu),Uua))))) # label(fact_ATP_Olambda__254) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 478 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sg,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1886009797nd_nis,Uua),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uua))))) # label(fact_ATP_Olambda__255) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 479 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pq,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uu),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uua))))) # label(fact_ATP_Olambda__256) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 480 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ap,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uua))))) # label(fact_ATP_Olambda__257) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 481 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tn,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,Uua),aa_TPTP_ind_TPTP_ind(scratc1866375442_power,Uu))))) # label(fact_ATP_Olambda__258) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 482 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ai,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Uua),Uu)))) # label(fact_ATP_Olambda__259) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 483 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_du,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,Uua),Uu)))) # label(fact_ATP_Olambda__260) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 484 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ds,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,Uua),Uu)))) # label(fact_ATP_Olambda__261) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 485 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_th,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223488d_n_in,Uua),Uu)))) # label(fact_ATP_Olambda__262) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 486 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bv,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1883910624nd_nIn,Uua),Uu)))) # label(fact_ATP_Olambda__263) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 487 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_as,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,Uua),Uu)))) # label(fact_ATP_Olambda__264) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 488 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_sk(Uu),Uua))))) # label(fact_ATP_Olambda__265) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 489 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_se,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_sd(Uu),Uua))))) # label(fact_ATP_Olambda__266) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 490 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_sa(Uu),Uua))))) # label(fact_ATP_Olambda__267) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 491 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_qj(Uu),Uua))))) # label(fact_ATP_Olambda__268) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 492 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_qg(Uu),Uua))))) # label(fact_ATP_Olambda__269) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 493 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qe,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_qd(Uu),Uua))))) # label(fact_ATP_Olambda__270) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 494 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_qa(Uu),Uua))))) # label(fact_ATP_Olambda__271) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 495 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_py,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_px(Uu),Uua))))) # label(fact_ATP_Olambda__272) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 496 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_pu(Uu),Uua))))) # label(fact_ATP_Olambda__273) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 497 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_pl(Uu),Uua))))) # label(fact_ATP_Olambda__274) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 498 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_pi(Uu),Uua))))) # label(fact_ATP_Olambda__275) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 499 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_pf(Uu),Uua))))) # label(fact_ATP_Olambda__276) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 500 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_pc(Uu),Uua))))) # label(fact_ATP_Olambda__277) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 501 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pa,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_oz(Uu),Uua))))) # label(fact_ATP_Olambda__278) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 502 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ox,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ow(Uu),Uua))))) # label(fact_ATP_Olambda__279) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 503 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ou,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ot(Uu),Uua))))) # label(fact_ATP_Olambda__280) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 504 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_op(Uu),Uua))))) # label(fact_ATP_Olambda__281) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 505 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_om,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ol(Uu),Uua))))) # label(fact_ATP_Olambda__282) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 506 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oi,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_oh(Uu),Uua))))) # label(fact_ATP_Olambda__283) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 507 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oe,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_od(Uu),Uua))))) # label(fact_ATP_Olambda__284) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 508 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ob,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_oa(Uu),Uua))))) # label(fact_ATP_Olambda__285) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 509 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ny,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_nx(Uu),Uua))))) # label(fact_ATP_Olambda__286) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 510 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_nu(Uu),Uua))))) # label(fact_ATP_Olambda__287) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 511 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ns,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_nr(Uu),Uua))))) # label(fact_ATP_Olambda__288) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 512 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_np,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_no(Uu),Uua))))) # label(fact_ATP_Olambda__289) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 513 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_nl(Uu),Uua))))) # label(fact_ATP_Olambda__290) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 514 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ni(Uu),Uua))))) # label(fact_ATP_Olambda__291) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 515 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ng,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_nf(Uu),Uua))))) # label(fact_ATP_Olambda__292) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 516 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_nc(Uu),Uua))))) # label(fact_ATP_Olambda__293) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 517 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_na,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_mz(Uu),Uua))))) # label(fact_ATP_Olambda__294) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 518 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_mv(Uu),Uua))))) # label(fact_ATP_Olambda__295) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 519 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ms,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_mr(Uu),Uua))))) # label(fact_ATP_Olambda__296) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 520 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mo,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_mn(Uu),Uua))))) # label(fact_ATP_Olambda__297) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 521 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_mj(Uu),Uua))))) # label(fact_ATP_Olambda__298) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 522 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_mf(Uu),Uua))))) # label(fact_ATP_Olambda__299) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 523 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_mb(Uu),Uua))))) # label(fact_ATP_Olambda__300) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 524 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ly,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_lx(Uu),Uua))))) # label(fact_ATP_Olambda__301) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 525 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_kk(Uu),Uua))))) # label(fact_ATP_Olambda__302) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 526 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ki,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_kh(Uu),Uua))))) # label(fact_ATP_Olambda__303) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 527 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ke(Uu),Uua))))) # label(fact_ATP_Olambda__304) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 528 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_kb(Uu),Uua))))) # label(fact_ATP_Olambda__305) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 529 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_jy(Uu),Uua))))) # label(fact_ATP_Olambda__306) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 530 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_jv(Uu),Uua))))) # label(fact_ATP_Olambda__307) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 531 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_js(Uu),Uua))))) # label(fact_ATP_Olambda__308) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 532 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_jp(Uu),Uua))))) # label(fact_ATP_Olambda__309) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 533 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_jm(Uu),Uua))))) # label(fact_ATP_Olambda__310) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 534 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ji(Uu),Uua))))) # label(fact_ATP_Olambda__311) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 535 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_je(Uu),Uua))))) # label(fact_ATP_Olambda__312) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 536 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ja(Uu),Uua))))) # label(fact_ATP_Olambda__313) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 537 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ix,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_iw(Uu),Uua))))) # label(fact_ATP_Olambda__314) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 538 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_it(Uu),Uua))))) # label(fact_ATP_Olambda__315) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 539 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ir,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_iq(Uu),Uua))))) # label(fact_ATP_Olambda__316) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 540 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_io,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_in(Uu),Uua))))) # label(fact_ATP_Olambda__317) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 541 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_il,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ik(Uu),Uua))))) # label(fact_ATP_Olambda__318) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 542 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ii,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ih(Uu),Uua))))) # label(fact_ATP_Olambda__319) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 543 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_if,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ie(Uu),Uua))))) # label(fact_ATP_Olambda__320) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 544 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ic,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ib(Uu),Uua))))) # label(fact_ATP_Olambda__321) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 545 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_hx(Uu),Uua))))) # label(fact_ATP_Olambda__322) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 546 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_ht(Uu),Uua))))) # label(fact_ATP_Olambda__323) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 547 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_hp(Uu),Uua))))) # label(fact_ATP_Olambda__324) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 548 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_hl(Uu),Uua))))) # label(fact_ATP_Olambda__325) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 549 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hi,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_hh(Uu),Uua))))) # label(fact_ATP_Olambda__326) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 550 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_he,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_hd(Uu),Uua))))) # label(fact_ATP_Olambda__327) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 551 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ha,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_gz(Uu),Uua))))) # label(fact_ATP_Olambda__328) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 552 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_gl(Uu),Uua))))) # label(fact_ATP_Olambda__329) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 553 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_gi(Uu),Uua))))) # label(fact_ATP_Olambda__330) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 554 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_di(Uu),Uua))))) # label(fact_ATP_Olambda__331) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 555 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aTP_Lamm_df(Uu),Uua))))) # label(fact_ATP_Olambda__332) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 556 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gs(Uu),Uua))))) # label(fact_ATP_Olambda__333) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 557 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fv(Uu),Uua))))) # label(fact_ATP_Olambda__334) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 558 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fs,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fr(Uu),Uua))))) # label(fact_ATP_Olambda__335) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 559 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ey,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ex(Uu),Uua))))) # label(fact_ATP_Olambda__336) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 560 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_et(Uu),Uua))))) # label(fact_ATP_Olambda__337) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 561 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_em,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_el(Uu),Uua))))) # label(fact_ATP_Olambda__338) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 562 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ej,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ei(Uu),Uua))))) # label(fact_ATP_Olambda__339) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 563 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ef(Uu),Uua))))) # label(fact_ATP_Olambda__340) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 564 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ed,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ec(Uu),Uua))))) # label(fact_ATP_Olambda__341) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 565 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ea,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dz(Uu),Uua))))) # label(fact_ATP_Olambda__342) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 566 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dw(Uu),Uua))))) # label(fact_ATP_Olambda__343) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 567 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dm(Uu),Uua))))) # label(fact_ATP_Olambda__344) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 568 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_da,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cz(Uu),Uua))))) # label(fact_ATP_Olambda__345) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 569 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ct,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cs(Uu),Uua))))) # label(fact_ATP_Olambda__346) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 570 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cp(Uu),Uua))))) # label(fact_ATP_Olambda__347) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 571 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cm(Uu),Uua))))) # label(fact_ATP_Olambda__348) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 572 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ck,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cj(Uu),Uua))))) # label(fact_ATP_Olambda__349) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 573 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ch,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cg(Uu),Uua))))) # label(fact_ATP_Olambda__350) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 574 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ce,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cd(Uu),Uua))))) # label(fact_ATP_Olambda__351) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 575 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ca(Uu),Uua))))) # label(fact_ATP_Olambda__352) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 576 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(Uu),Uua))))) # label(fact_ATP_Olambda__353) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 577 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ry,Uu),Uua)) <-> pp(scratc326104231_amone(scratc1885485006nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ru(Uu),Uua))))) # label(fact_ATP_Olambda__354) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 578 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_an(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Uu),Uua))) # label(fact_ATP_Olambda__355) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 579 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_bn(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc226153660_union,aa_TPTP_ind_TPTP_ind(Uu,Uua))) # label(fact_ATP_Olambda__356) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 580 (all Uu all Uua (gg_TPTP_ind(Uua) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bp,Uu),Uua)) <-> (exists X3 (gg_TPTP_ind(X3) & Uua = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1023171309d_pair,Uu),X3)))))) # label(fact_ATP_Olambda__357) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 581 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tx(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc266079484d_e_is(aa_TPTP_ind_TPTP_ind(scratc1511337478etprod(Uu),Uua)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc767432939d_pair(Uu,Uua),aa_TPTP_ind_TPTP_ind(scratc779205757_first(Uu,Uua),Uub)),aa_TPTP_ind_TPTP_ind(scratc2133154983second(Uu,Uua),Uub))),Uub)))) # label(fact_ATP_Olambda__358) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 582 (all Uu all Uua all Uub aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aTP_Lamm_bx(Uu),Uua),Uub) = aa_TPTP_ind_TPTP_ind(scratc1473466608bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,scratc507836936ptyset),Uub),Uu),Uua)) # label(fact_ATP_Olambda__359) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 583 (all Uu all Uua all Uub aa_TPTP_ind_TPTP_ind(aa_fun1235454963TP_ind(aTP_Lamm_bw(Uu),Uua),Uub) = aa_TPTP_ind_TPTP_ind(scratc1473466608bnd_if(aa_TPTP_ind_bool(Uua,Uub),Uub),scratc1812115445nd_eps(aa_fun1584354236d_bool(aTP_Lamm_bk(Uu),Uua)))) # label(fact_ATP_Olambda__360) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 584 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bd(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1176075382d_esti(Uu),Uub),Uua)))) # label(fact_ATP_Olambda__361) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 585 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_tq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1176075382d_esti(Uu),Uub),aa_fun1431113780TP_ind(scratc1393785005_d_Sep(Uu),Uua))) -> pp(aa_TPTP_ind_bool(Uua,Uub))))) # label(fact_ATP_Olambda__362) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 586 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_to(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2108517825d_incl(Uu),Uua),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2108517825d_incl(Uu),Uub),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc266079484d_e_is(aa_TPTP_ind_TPTP_ind(scratc1866375442_power,Uu)),Uua),Uub)))))) # label(fact_ATP_Olambda__363) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 587 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ty(Uu),Uua),Uub)) <-> scratc375097204_is_of(aa_TPTP_ind_TPTP_ind(scratc2133154983second(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_as,Uua)))) # label(fact_ATP_Olambda__364) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 588 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tz(Uu),Uua),Uub)) <-> scratc375097204_is_of(aa_TPTP_ind_TPTP_ind(scratc779205757_first(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_as,Uu)))) # label(fact_ATP_Olambda__365) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 589 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_uf(Uu),Uua),Uub)) <-> scratc375097204_is_of(aa_TPTP_ind_TPTP_ind(scratc266079479d_e_in(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_as,Uu)))) # label(fact_ATP_Olambda__366) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 590 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uj(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_ug(Uu),Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ui(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__367) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 591 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_di(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1932026695d_n_fr,Uu),Uub)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1932026695d_n_fr,Uua),Uub))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1932026695d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uua)),Uub))))) # label(fact_ATP_Olambda__368) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 592 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gi(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1932026695d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uua),Uub))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1932026695d_n_fr,Uu),Uua))))) # label(fact_ATP_Olambda__369) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 593 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ik(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__370) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 594 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nr(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__371) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 595 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ni(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__372) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 596 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ih(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__373) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 597 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sa(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uua),Uub))))) # label(fact_ATP_Olambda__374) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 598 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_no(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__375) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 599 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nf(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__376) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 600 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ie(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__377) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 601 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nl(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__378) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 602 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nc(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__379) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 603 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1932026695d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1932026695d_n_fr,Uu),Uub)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1932026695d_n_fr,Uua),Uub)))))) # label(fact_ATP_Olambda__380) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 604 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kh(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__381) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 605 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sk(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__382) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 606 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cz(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(Uu),aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__383) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 607 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kk(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uua),Uub))),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uub)))))) # label(fact_ATP_Olambda__384) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 608 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_am(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(scratc1877414384rdsucc,Uub))),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Uua),Uub)),Uu))))) # label(fact_ATP_Olambda__385) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 609 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gl(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1932026695d_n_fr,Uu),Uua)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1932026695d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__386) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 610 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ke(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__387) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 611 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jv(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__388) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 612 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pl(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__389) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 613 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pc(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__390) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 614 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_px(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uu),Uub)))))) # label(fact_ATP_Olambda__391) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 615 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iw(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__392) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 616 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_it(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__393) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 617 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_od(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__394) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 618 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oa(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__395) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 619 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qa(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uu),Uub)))))) # label(fact_ATP_Olambda__396) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 620 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__397) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 621 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_in(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__398) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 622 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nx(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__399) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 623 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nu(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__400) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 624 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pu(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Uu),Uub)))))) # label(fact_ATP_Olambda__401) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 625 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qg(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__402) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 626 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dw(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313536952lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313536952lesseq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313536952lesseq,Uu),Uub)))))) # label(fact_ATP_Olambda__403) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 627 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ei(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313536952lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__404) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 628 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ec(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858697_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,Uu),Uub)))))) # label(fact_ATP_Olambda__405) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 629 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cs(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__406) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 630 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cj(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(Uub),Uua)))))) # label(fact_ATP_Olambda__407) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 631 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dz(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858697_moreq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,Uu),Uub)))))) # label(fact_ATP_Olambda__408) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 632 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cm(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__409) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 633 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cd(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(Uub),Uua)))))) # label(fact_ATP_Olambda__410) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 634 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ef(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313536952lesseq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__411) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 635 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_el(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__412) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 636 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kb(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__413) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 637 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_js(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__414) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 638 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pi(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__415) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 639 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oz(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__416) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 640 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cp(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__417) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 641 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cg(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(Uub),Uua)))))) # label(fact_ATP_Olambda__418) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.61 642 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gs(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,Uu),Uub)))))) # label(fact_ATP_Olambda__419) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 643 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sd(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1886009797nd_nis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1886009797nd_nis,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uub)))))) # label(fact_ATP_Olambda__420) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 644 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jy(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__421) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 645 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jp(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__422) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 646 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pf(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__423) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 647 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ow(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__424) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 648 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qd(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__425) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 649 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qj(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__426) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 650 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dp(Uu),Uua),Uub)) <-> pp(scratc1510036454_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,Uu),Uub),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,Uub),Uua))))) # label(fact_ATP_Olambda__427) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 651 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_bk(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,Uub),Uu)) & pp(aa_TPTP_ind_bool(Uua,Uub)))) # label(fact_ATP_Olambda__428) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 652 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_uc(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc736563688_image(aa_fun1431113780TP_ind(scratc1393785005_d_Sep(Uu),Uua),Uu),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc471975124_Sigma,aa_fun1431113780TP_ind(scratc1393785005_d_Sep(Uu),Uua)),scratc266079479d_e_in(Uu,Uua))),Uub))))) # label(fact_ATP_Olambda__429) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 653 (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(scratc1176075382d_esti(Uu),Uub),aa_fun1431113780TP_ind(scratc1393785005_d_Sep(Uu),Uua)))))) # label(fact_ATP_Olambda__430) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 654 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_ul(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_as,Uu)),aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_uk(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__431) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 655 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_bm(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_as,Uu)),aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_bl(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__432) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 656 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ub(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_as,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ua(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__433) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 657 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tv(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_as,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tu(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__434) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 658 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tt(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_as,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ts(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__435) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 659 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ug(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,Uub),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1272358858d_d_Pi,Uu),aTP_Lamm_ah(Uua)))))) # label(fact_ATP_Olambda__436) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 660 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ru(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uua),Uub))))) # label(fact_ATP_Olambda__437) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 661 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rv(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uua),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uub))))) # label(fact_ATP_Olambda__438) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 662 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tw(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,Uub),aa_TPTP_ind_TPTP_ind(scratc1511337478etprod(Uu),Uua))))) # label(fact_ATP_Olambda__439) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 663 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_ud(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,Uub),aa_fun1431113780TP_ind(scratc1393785005_d_Sep(Uu),Uua))))) # label(fact_ATP_Olambda__440) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 664 (all Uu all Uua all Uub aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aTP_Lamm_bf(Uu),Uua),Uub) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Uu),Uub))) # label(fact_ATP_Olambda__441) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 665 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ot(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_os(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__442) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 666 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_op(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_oo(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__443) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 667 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ol(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ok(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__444) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 668 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oh(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_og(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__445) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 669 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mz(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_my(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__446) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 670 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mv(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mu(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__447) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 671 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mr(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mq(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__448) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 672 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mn(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mm(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__449) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 673 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mj(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mi(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__450) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 674 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mf(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_me(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__451) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 675 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mb(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ma(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__452) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 676 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lx(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lw(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__453) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 677 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jm(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jl(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__454) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 678 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ji(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jh(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__455) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 679 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_je(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jd(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__456) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 680 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ja(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_iz(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__457) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 681 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ib(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ia(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__458) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 682 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hx(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hw(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__459) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 683 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ht(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hs(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__460) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 684 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hp(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ho(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__461) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 685 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hl(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hk(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__462) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 686 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hh(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hg(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__463) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 687 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hd(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hc(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__464) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 688 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gz(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_de),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gy(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__465) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 689 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fv(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fu(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__466) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 690 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fr(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fq(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__467) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 691 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ex(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ew(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__468) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 692 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_et(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_es(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__469) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 693 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dm(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__470) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 694 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ca(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__471) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 695 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__472) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 696 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_ue(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(Uua,aa_TPTP_ind_TPTP_ind(scratc266079479d_e_in(Uu,Uua),Uub))))) # label(fact_ATP_Olambda__473) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 697 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1913827119d_bool(aTP_Lamm_bo(Uu),Uua),Uub)) <-> (all X3 (gg_TPTP_ind(X3) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,X3),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1473466616bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Uub),X3)),aa_TPTP_ind_TPTP_ind(Uua,X3)))))))) # label(fact_ATP_Olambda__474) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 698 (all Uu all Uua all Uub all Uuc aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ag(Uu),Uua),Uub),Uuc) = aa_TPTP_ind_TPTP_ind(scratc1845423847nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc266079484d_e_is(aa_TPTP_ind_TPTP_ind(scratc1113877819_d_1to,scratc1592301495nd_n_2)),Uuc),scratc1928549950d_n_1t),Uu,Uua),Uub)) # label(fact_ATP_Olambda__475) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 699 (all Uu all Uua all Uub all Uuc aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_bg(Uu),Uua),Uub),Uuc) = aa_TPTP_ind_TPTP_ind(scratc1473466608bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc736563688_image(Uu,Uua),Uub),Uuc),aa_TPTP_ind_TPTP_ind(scratc1332913533d_soft(Uu,Uua,Uub),Uuc)),scratc507836936ptyset)) # label(fact_ATP_Olambda__476) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 700 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_tu(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc266079484d_e_is(Uu),aa_TPTP_ind_TPTP_ind(scratc779205757_first(Uu,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc767432939d_pair(Uu,Uua),Uub),Uuc))),Uub)))) # label(fact_ATP_Olambda__477) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 701 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ts(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc266079484d_e_is(Uua),aa_TPTP_ind_TPTP_ind(scratc2133154983second(Uu,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc767432939d_pair(Uu,Uua),Uub),Uuc))),Uuc)))) # label(fact_ATP_Olambda__478) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 702 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_uh(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc266079484d_e_is(Uu),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Uua),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Uub),Uuc))))) # label(fact_ATP_Olambda__479) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 703 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_az(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1176075382d_esti(Uu),Uub),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Uua),Uuc))))) # label(fact_ATP_Olambda__480) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 704 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bh(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc266079484d_e_is(Uu),Uub),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Uua),Uuc))))) # label(fact_ATP_Olambda__481) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 705 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ua(Uu),Uua),Uub),Uuc)) <-> scratc375097204_is_of(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc767432939d_pair(Uu,Uua),Uub),Uuc),aa_TPT43085870d_bool(aTP_Lamm_tw(Uu),Uua)))) # label(fact_ATP_Olambda__482) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 706 (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(scratc1800316151d_l_ec(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1176075382d_esti(Uu),Uuc),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1176075382d_esti(Uu),Uuc),Uub))))) # label(fact_ATP_Olambda__483) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 707 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bc(Uu),Uua),Uub),Uuc)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1844964665nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1176075382d_esti(Uu),Uuc),Uua)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1176075382d_esti(Uu),Uuc),Uub))))) # label(fact_ATP_Olambda__484) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 708 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ui(Uu),Uua),Uub),Uuc)) <-> (pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_as,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_uh(Uua),Uub),Uuc))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc266079484d_e_is(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1272358858d_d_Pi,Uu),aTP_Lamm_ah(Uua))),Uub),Uuc))))) # label(fact_ATP_Olambda__485) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 709 (all Uu all Uua all Uub all Uuc (gg_TPTP_ind(Uua) & gg_TPTP_ind(Uub) & gg_TPTP_ind(Uuc) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_by(Uu),Uua),Uub),Uuc)) <-> pp(Uu) & Uuc = Uua | -pp(Uu) & Uuc = Uub))) # label(fact_ATP_Olambda__486) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 710 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ia(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__487) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 711 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_my(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__488) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 712 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ho(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__489) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 713 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mm(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__490) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 714 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hs(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__491) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 715 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mq(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__492) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 716 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hc(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__493) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 717 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ma(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1447782962moreis,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__494) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 718 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gy(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__495) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 719 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lw(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__496) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 720 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hk(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__497) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 721 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mi(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__498) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 722 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_es(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313536952lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313536952lesseq,Uub),Uuc))))))) # label(fact_ATP_Olambda__499) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 723 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ew(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858697_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858697_moreq,Uub),Uuc))))))) # label(fact_ATP_Olambda__500) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 724 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fu(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,Uub),Uuc))))))) # label(fact_ATP_Olambda__501) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 725 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fq(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc207536890_lessf,Uub),Uuc))))))) # label(fact_ATP_Olambda__502) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 726 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jl(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__503) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 727 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jh(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uuc),Uua))))))) # label(fact_ATP_Olambda__504) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 728 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_os(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__505) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 729 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_oo(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc503691832_29_ii,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uuc),Uua))))))) # label(fact_ATP_Olambda__506) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 730 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jd(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__507) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 731 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_iz(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uuc),Uua))))))) # label(fact_ATP_Olambda__508) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 732 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ok(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__509) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 733 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_og(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1932223493d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uuc),Uua))))))) # label(fact_ATP_Olambda__510) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 734 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__511) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 735 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc553858686_moref,aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(Uuc),Uua))))))) # label(fact_ATP_Olambda__512) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 736 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1931961095d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932682673d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__513) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 737 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hg(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__514) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 738 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_me(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313799350lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__515) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 739 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hw(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932945082d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__516) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 740 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_mu(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1844702262nd_iii,aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1932682679d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__517) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 741 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_uk(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc266079484d_e_is(Uu),Uub),Uuc)) -> pp(aa_TPTP_ind_bool(Uua,Uuc)))))) # label(fact_ATP_Olambda__518) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 742 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_bl(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> (pp(aa_TPTP_ind_bool(Uua,Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc266079484d_e_is(Uu),Uub),Uuc)))))) # label(fact_ATP_Olambda__519) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 743 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bj(Uu),Uua),Uub),Uuc)) <-> pp(aa_fun171081125l_bool(scratc1778807022nd_all(Uu),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_bi(Uu),Uua),Uub),Uuc))))) # label(fact_ATP_Olambda__520) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 744 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ba(Uu),Uua),Uub),Uuc)) <-> pp(aa_fun171081125l_bool(scratc1905449261l_some(Uua),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_az(Uu),Uub),Uuc))))) # label(fact_ATP_Olambda__521) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 745 (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(scratc1472941826bnd_ap,Uub),aa_TPTP_ind_TPTP_ind(scratc231233571ght1to(Uu,Uua),Uuc))) # label(fact_ATP_Olambda__522) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 746 (all Uu all Uua all Uub all Uuc aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_af(Uu),Uua),Uub),Uuc) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Uub),aa_TPTP_ind_TPTP_ind(scratc1645857522eft1to(Uu,Uua),Uuc))) # label(fact_ATP_Olambda__523) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 747 (all Uu all Uua all Uub all Uuc all Uud (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_bi(Uu),Uua),Uub),Uuc),Uud)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1844964665nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc266079484d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Uub),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Uub),Uud))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc266079484d_e_is(Uu),Uuc),Uud))))) # label(fact_ATP_Olambda__524) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 748 (all Uu all Uua all Uub all Uuc all Uud (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_ax(Uu),Uua),Uub),Uuc),Uud)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(Uu,Uuc),Uud)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc266079484d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Uub),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Uub),Uud)))))) # label(fact_ATP_Olambda__525) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 749 (all Uu all Uua all Uub all Uuc all Uud (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_fun987228051d_bool(aTP_Lamm_aw(Uu),Uua),Uub),Uuc),Uud)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_as,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_fun845057962d_bool(aTP_Lamm_av(Uu),Uua),Uub),Uuc),Uud))))) # label(fact_ATP_Olambda__526) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 750 (all Uu all Uua all Uub all Uuc all Uud (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_fun987228051d_bool(aTP_Lamm_ay(Uu),Uua),Uub),Uuc),Uud)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_as,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_ax(Uua),Uub),Uuc),Uud))))) # label(fact_ATP_Olambda__527) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 751 (all Uu all Uua all Uub all Uuc all Uud aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aa_TPT1781712639TP_ind(aTP_Lamm_be(Uu),Uua),Uub),Uuc),Uud) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1373939052wissel(Uu,Uub),Uuc)),Uud))) # label(fact_ATP_Olambda__528) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 752 (all Uu all Uua all Uub all Uuc all Uud all Uue (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_fun845057962d_bool(aTP_Lamm_av(Uu),Uua),Uub),Uuc),Uud),Uue)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_as,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_TPT985247859d_bool(aa_fun1107270209d_bool(aTP_Lamm_au(Uu),Uua),Uub),Uuc),Uud),Uue))))) # label(fact_ATP_Olambda__529) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 753 (all Uu all Uua all Uub all Uuc all Uud all Uue all Uuf (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_TPT985247859d_bool(aa_TPT125613450d_bool(aTP_Lamm_at(Uu),Uua),Uub),Uuc),Uud),Uue),Uuf)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(Uu,Uuc),Uud)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(Uu,Uue),Uuf)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc266079484d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Uub),Uuc)),Uue)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1472941826bnd_ap,Uub),Uud)),Uuf))))))) # label(fact_ATP_Olambda__530) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 754 (all Uu all Uua all Uub all Uuc all Uud all Uue all Uuf (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_TPT985247859d_bool(aa_fun1107270209d_bool(aTP_Lamm_au(Uu),Uua),Uub),Uuc),Uud),Uue),Uuf)) <-> pp(aa_fun171081125l_bool(scratc647304805all_of(aa_TPT43085870d_bool(aTP_Lamm_as,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_TPT985247859d_bool(aa_TPT125613450d_bool(aTP_Lamm_at(Uua),Uub),Uuc),Uud),Uue),Uuf))))) # label(fact_ATP_Olambda__531) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 755 (all Uu all Uua (gg_TPTP_ind(Uu) -> aa_TPTP_ind_TPTP_ind(aTP_Lamm_ah(Uu),Uua) = Uu)) # label(fact_ATP_Olambda__532) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 756 (all Uu (gg_TPTP_ind(Uu) -> aa_TPTP_ind_TPTP_ind(aTP_Lamm_al,Uu) = Uu)) # label(fact_ATP_Olambda__533) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 757 (all Uu aa_TPTP_ind_TPTP_ind(aTP_Lamm_aj,Uu) = scratc1885485006nd_nat) # label(fact_ATP_Olambda__534) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 758 (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].
% 1.21/1.62 759 (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].
% 1.21/1.62 760 (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].
% 1.21/1.62 761 (all P (gg_bool(P) -> P = fTrue | P = fFalse)) # label(help_fFalse_1_1_T) # label(axiom) # label(non_clause). [assumption].
% 1.21/1.62 762 (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].
% 1.21/1.62 763 (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].
% 1.21/1.62 764 (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].
% 1.21/1.62 765 (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].
% 1.21/1.62 766 (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].
% 1.44/1.70 767 (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].
% 1.44/1.70 768 (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].
% 1.44/1.70 769 (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].
% 1.44/1.70 770 (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].
% 1.44/1.70
% 1.44/1.70 ============================== end of process non-clausal formulas ===
% 1.44/1.70
% 1.44/1.70 ============================== PROCESS INITIAL CLAUSES ===============
% 1.44/1.70
% 1.44/1.70 ============================== PREDICATE ELIMINATION =================
% 1.44/1.70 771 -gg_bool(A) | A = fTrue | A = fFalse # label(help_fFalse_1_1_T) # label(axiom). [clausify(761)].
% 1.44/1.70 772 gg_bool(undefined_bool(bool)) # label(gsy_c_HOL_Oundefined_001t__HOL__Obool) # label(axiom). [assumption].
% 1.44/1.70 773 gg_bool(scratc326104231_amone(A,B)) # label(gsy_c_Scratch__tptp__translate__58762__23266_ONUM754__thf__4__p_Obnd__amone) # label(axiom). [clausify(1)].
% 1.44/1.70 774 gg_bool(scratc1510036454_d_and(A,B)) # label(gsy_c_Scratch__tptp__translate__58762__23266_ONUM754__thf__4__p_Obnd__d__and) # label(axiom). [clausify(2)].
% 1.44/1.70 775 gg_bool(scratc1617501634_d_not(A)) # label(gsy_c_Scratch__tptp__translate__58762__23266_ONUM754__thf__4__p_Obnd__d__not) # label(axiom). [clausify(3)].
% 1.44/1.70 776 gg_bool(scratc1811262594nd_ec3(A,B,C)) # label(gsy_c_Scratch__tptp__translate__58762__23266_ONUM754__thf__4__p_Obnd__ec3) # label(axiom). [clausify(4)].
% 1.44/1.70 777 gg_bool(scratc1800316151d_l_ec(A,B)) # label(gsy_c_Scratch__tptp__translate__58762__23266_ONUM754__thf__4__p_Obnd__l__ec) # label(axiom). [clausify(8)].
% 1.44/1.70 778 gg_bool(scratc1894861629nd_or3(A,B,C)) # label(gsy_c_Scratch__tptp__translate__58762__23266_ONUM754__thf__4__p_Obnd__or3) # label(axiom). [clausify(9)].
% 1.44/1.70 779 gg_bool(aa_bool_bool(A,B)) # label(gsy_c_aa_001t__HOL__Obool_001t__HOL__Obool) # label(axiom). [clausify(10)].
% 1.44/1.70 780 gg_bool(aa_TPTP_ind_bool(A,B)) # label(gsy_c_aa_001t__TPTP____Interpret__Oind_001t__HOL__Obool) # label(axiom). [clausify(11)].
% 1.44/1.70 781 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)].
% 1.44/1.70 782 gg_bool(fEx_TPTP_ind(A)) # label(gsy_c_fEx_001t__TPTP____Interpret__Oind) # label(axiom). [clausify(16)].
% 1.44/1.70 783 gg_bool(fFalse) # label(gsy_c_fFalse) # label(axiom). [assumption].
% 1.44/1.70 784 gg_bool(fTrue) # label(gsy_c_fTrue) # label(axiom). [assumption].
% 1.44/1.70 Derived: undefined_bool(bool) = fTrue | undefined_bool(bool) = fFalse. [resolve(771,a,772,a)].
% 1.44/1.70 Derived: scratc326104231_amone(A,B) = fTrue | scratc326104231_amone(A,B) = fFalse. [resolve(771,a,773,a)].
% 1.44/1.70 Derived: scratc1510036454_d_and(A,B) = fTrue | scratc1510036454_d_and(A,B) = fFalse. [resolve(771,a,774,a)].
% 1.44/1.70 Derived: scratc1617501634_d_not(A) = fTrue | scratc1617501634_d_not(A) = fFalse. [resolve(771,a,775,a)].
% 1.44/1.70 Derived: scratc1811262594nd_ec3(A,B,C) = fTrue | scratc1811262594nd_ec3(A,B,C) = fFalse. [resolve(771,a,776,a)].
% 1.44/1.70 Derived: scratc1800316151d_l_ec(A,B) = fTrue | scratc1800316151d_l_ec(A,B) = fFalse. [resolve(771,a,777,a)].
% 1.44/1.70 Derived: scratc1894861629nd_or3(A,B,C) = fTrue | scratc1894861629nd_or3(A,B,C) = fFalse. [resolve(771,a,778,a)].
% 3.08/3.33 Derived: aa_bool_bool(A,B) = fTrue | aa_bool_bool(A,B) = fFalse. [resolve(771,a,779,a)].
% 3.08/3.33 Derived: aa_TPTP_ind_bool(A,B) = fTrue | aa_TPTP_ind_bool(A,B) = fFalse. [resolve(771,a,780,a)].
% 3.08/3.33 Derived: aa_fun171081125l_bool(A,B) = fTrue | aa_fun171081125l_bool(A,B) = fFalse. [resolve(771,a,781,a)].
% 3.08/3.33 Derived: fEx_TPTP_ind(A) = fTrue | fEx_TPTP_ind(A) = fFalse. [resolve(771,a,782,a)].
% 3.08/3.33 Derived: fFalse = fTrue | fFalse = fFalse. [resolve(771,a,783,a)].
% 3.08/3.33 Derived: fTrue = fTrue | fTrue = fFalse. [resolve(771,a,784,a)].
% 3.08/3.33 785 scratc47767293d_r_ec(A,B) | pp(A) # label(fact_def__r__ec) # label(axiom). [clausify(94)].
% 3.08/3.33 786 -scratc47767293d_r_ec(A,B) | -pp(A) | pp(scratc1617501634_d_not(B)) # label(fact_def__r__ec) # label(axiom). [clausify(94)].
% 3.08/3.33 787 scratc47767293d_r_ec(A,B) | -pp(scratc1617501634_d_not(B)) # label(fact_def__r__ec) # label(axiom). [clausify(94)].
% 3.08/3.33 788 scratc256694256_l_iff(A,B) | -pp(scratc1510036454_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1844964665nd_imp,A),B),aa_bool_bool(aa_boo1142376798l_bool(scratc1844964665nd_imp,B),A))) # label(fact_def__l__iff) # label(axiom). [clausify(126)].
% 3.08/3.33 789 -scratc256694256_l_iff(A,B) | pp(scratc1510036454_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1844964665nd_imp,A),B),aa_bool_bool(aa_boo1142376798l_bool(scratc1844964665nd_imp,B),A))) # label(fact_def__l__iff) # label(axiom). [clausify(126)].
% 3.08/3.33 790 scratc382767284d_orec(A,B) | -pp(scratc1510036454_d_and(aa_bool_bool(scratc1800972156d_l_or(A),B),scratc1800316151d_l_ec(A,B))) # label(fact_def__orec) # label(axiom). [clausify(127)].
% 3.08/3.33 791 -scratc382767284d_orec(A,B) | pp(scratc1510036454_d_and(aa_bool_bool(scratc1800972156d_l_or(A),B),scratc1800316151d_l_ec(A,B))) # label(fact_def__orec) # label(axiom). [clausify(127)].
% 3.08/3.33 792 scratc1960100939nd_wel(A) | -pp(scratc1617501634_d_not(scratc1617501634_d_not(A))) # label(fact_def__wel) # label(axiom). [clausify(132)].
% 3.08/3.33 793 -scratc1960100939nd_wel(A) | pp(scratc1617501634_d_not(scratc1617501634_d_not(A))) # label(fact_def__wel) # label(axiom). [clausify(132)].
% 3.08/3.33 794 -scratc1960100939nd_wel(A) | pp(A) # label(fact_l__et) # label(axiom). [clausify(184)].
% 3.08/3.33 Derived: pp(A) | -pp(scratc1617501634_d_not(scratc1617501634_d_not(A))). [resolve(794,a,792,a)].
% 3.08/3.33
% 3.08/3.33 ============================== end predicate elimination =============
% 3.08/3.33
% 3.08/3.33 Auto_denials: (non-Horn, no changes).
% 3.08/3.33
% 3.08/3.33 Term ordering decisions:
% 3.08/3.33 Function symbol KB weights: aTP_Lamm_de=1. aTP_Lamm_a=1. scratc1932223493d_n_is=1. scratc1844702262nd_iii=1. scratc503691832_29_ii=1. scratc1473466616bnd_in=1. scratc1877414384rdsucc=1. scratc1931961095d_n_eq=1. scratc1313799350lessis=1. scratc1472941826bnd_ap=1. scratc1447782962moreis=1. scratc1592301494nd_n_1=1. scratc207536890_lessf=1. scratc553858686_moref=1. aTP_Lamm_as=1. scratc1885485006nd_nat=1. scratc471975124_Sigma=1. scratc507836936ptyset=1. scratc1313536952lesseq=1. scratc1272358858d_d_Pi=1. scratc1886009797nd_nis=1. scratc1932026695d_n_fr=1. scratc501790255n_some=1. scratc553858697_moreq=1. fFalse=1. scratc1803132346nd_den=1. scratc1866375442_power=1. scratc261741410_nat_p=1. scratc1844964665nd_imp=1. scratc1886796979nd_num=1. scratc470367266d_repl=1. fTrue=1. scratc935010278_n_all=1. scratc1023171309d_pair=1. aTP_Lamm_aj=1. scratc1917495202d_Subq=1. scratc1947154689d_frac=1. scratc1592301495nd_n_2=1. scratc1994889280_proj0=1. scratc2046303436closed=1. scratc226153660_union=1. aTP_Lamm_ap=1. scratc1932223488d_n_in=1. scratc1994889281_proj1=1. aTP_Lamm_ao=1. aTP_Lamm_tn=1. scratc1113877819_d_1to=1. scratc190862592closed=1. scratc26129578closed=1. aTP_Lamm_ai=1. aTP_Lamm_dq=1. aTP_Lamm_eo=1. aTP_Lamm_eq=1. aTP_Lamm_fa=1. aTP_Lamm_fc=1. aTP_Lamm_fe=1. aTP_Lamm_fg=1. aTP_Lamm_fi=1. aTP_Lamm_fk=1. aTP_Lamm_fm=1. aTP_Lamm_fo=1. aTP_Lamm_fy=1. aTP_Lamm_ga=1. aTP_Lamm_gv=1. aTP_Lamm_ld=1. aTP_Lamm_lf=1. aTP_Lamm_lh=1. aTP_Lamm_lj=1. aTP_Lamm_ll=1. aTP_Lamm_ln=1. aTP_Lamm_lp=1. aTP_Lamm_lr=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_te=1. aTP_Lamm_ti=1. aTP_Lamm_tj=1. scratc1139037926_prop2=1. scratc1164544494_omega=1. scratc483900284_prop2=1. scratc496768349d_Inj1=1. scratc735242921closed=1. aTP_Lamm_ac=1. aTP_Lamm_aq=1. aTP_Lamm_bp=1. aTP_Lamm_br=1. aTP_Lamm_bs=1. aTP_Lamm_cb=1. aTP_Lamm_ce=1. aTP_Lamm_ch=1. aTP_Lamm_ck=1. aTP_Lamm_cn=1. aTP_Lamm_cq=1. aTP_Lamm_ct=1. aTP_Lamm_cv=1. aTP_Lamm_cx=1. aTP_Lamm_da=1. aTP_Lamm_dc=1. aTP_Lamm_dg=1. aTP_Lamm_dj=1. aTP_Lamm_dn=1. aTP_Lamm_ds=1. aTP_Lamm_du=1. aTP_Lamm_dx=1. aTP_Lamm_ea=1. aTP_Lamm_ed=1. aTP_Lamm_eg=1. aTP_Lamm_ej=1. aTP_Lamm_em=1. aTP_Lamm_eu=1. aTP_Lamm_ey=1. aTP_Lamm_fs=1. aTP_Lamm_fw=1. aTP_Lamm_gc=1. aTP_Lamm_ge=1. aTP_Lamm_gg=1. aTP_Lamm_gj=1. aTP_Lamm_gm=1. aTP_Lamm_go=1. aTP_Lamm_gq=1. aTP_Lamm_gt=1. aTP_Lamm_ha=1. aTP_Lamm_he=1. aTP_Lamm_hi=1. aTP_Lamm_hm=1. aTP_Lamm_hq=1. aTP_Lamm_hu=1. aTP_Lamm_hy=1. aTP_Lamm_ic=1. aTP_Lamm_if=1. aTP_Lamm_ii=1. aTP_Lamm_il=1. aTP_Lamm_io=1. aTP_Lamm_ir=1. aTP_Lamm_iu=1. aTP_Lamm_ix=1. aTP_Lamm_jb=1. aTP_Lamm_jf=1. aTP_Lamm_jj=1. aTP_Lamm_jn=1. aTP_Lamm_jq=1. aTP_Lamm_jt=1. aTP_Lamm_jw=1. aTP_Lamm_jz=1. aTP_Lamm_kc=1. aTP_Lamm_kf=1. aTP_Lamm_ki=1. aTP_Lamm_kl=1. aTP_Lamm_kn=1. aTP_Lamm_kp=1. aTP_Lamm_ks=1. aTP_Lamm_kv=1. aTP_Lamm_ky=1. aTP_Lamm_lb=1. aTP_Lamm_ly=1. aTP_Lamm_mc=1. aTP_Lamm_mg=1. aTP_Lamm_mk=1. aTP_Lamm_mo=1. aTP_Lamm_ms=1. aTP_Lamm_mw=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_nv=1. aTP_Lamm_ny=1. aTP_Lamm_ob=1. aTP_Lamm_oe=1. aTP_Lamm_oi=1. aTP_Lamm_om=1. aTP_Lamm_oq=1. aTP_Lamm_ou=1. aTP_Lamm_ox=1. aTP_Lamm_pa=1. aTP_Lamm_pd=1. aTP_Lamm_pg=1. aTP_Lamm_pj=1. aTP_Lamm_pm=1. aTP_Lamm_pq=1. aTP_Lamm_ps=1. aTP_Lamm_pv=1. aTP_Lamm_py=1. aTP_Lamm_qb=1. aTP_Lamm_qe=1. aTP_Lamm_qh=1. aTP_Lamm_qk=1. aTP_Lamm_rk=1. aTP_Lamm_rm=1. aTP_Lamm_ro=1. aTP_Lamm_rq=1. aTP_Lamm_rs=1. aTP_Lamm_rw=1. aTP_Lamm_ry=1. aTP_Lamm_sb=1. aTP_Lamm_se=1. aTP_Lamm_sg=1. aTP_Lamm_si=1. aTP_Lamm_sl=1. aTP_Lamm_sn=1. aTP_Lamm_sq=1. aTP_Lamm_st=1. aTP_Lamm_sw=1. aTP_Lamm_sz=1. aTP_Lamm_tb=1. aTP_Lamm_tc=1. aTP_Lamm_th=1. fconj=1. fimplies=1. scratc1050802539_n_one=1. scratc1139037925_prop1=1. scratc1819144320d_Sing=1. scratc1928549950d_n_1t=1. scratc2010006013_cond2=1. scratc483900283_prop1=1. scratc496768348d_Inj0=1. aTP_Lamm_bv=1. aTP_Lamm_cc=1. aTP_Lamm_cf=1. aTP_Lamm_ci=1. aTP_Lamm_cl=1. aTP_Lamm_co=1. aTP_Lamm_cr=1. aTP_Lamm_cu=1. aTP_Lamm_cw=1. aTP_Lamm_cy=1. aTP_Lamm_db=1. aTP_Lamm_dd=1. aTP_Lamm_dh=1. aTP_Lamm_dk=1. aTP_Lamm_do=1. aTP_Lamm_dr=1. aTP_Lamm_dt=1. aTP_Lamm_dv=1. aTP_Lamm_dy=1. aTP_Lamm_eb=1. aTP_Lamm_ee=1. aTP_Lamm_eh=1. aTP_Lamm_ek=1. aTP_Lamm_en=1. aTP_Lamm_ep=1. aTP_Lamm_er=1. aTP_Lamm_ev=1. aTP_Lamm_ez=1. aTP_Lamm_fb=1. aTP_Lamm_fd=1. aTP_Lamm_ff=1. aTP_Lamm_fh=1. aTP_Lamm_fj=1. aTP_Lamm_fl=1. aTP_Lamm_fn=1. aTP_Lamm_fp=1. aTP_Lamm_ft=1. aTP_Lamm_fx=1. aTP_Lamm_fz=1. aTP_Lamm_gb=1. aTP_Lamm_gd=1. aTP_Lamm_gf=1. aTP_Lamm_gh=1. aTP_Lamm_gk=1. aTP_Lamm_gn=1. aTP_Lamm_gp=1. aTP_Lamm_gr=1. aTP_Lamm_gu=1. aTP_Lamm_gw=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_hv=1. aTP_Lamm_hz=1. aTP_Lamm_id=1. aTP_Lamm_ig=1. aTP_Lamm_ij=1. aTP_Lamm_im=1. aTP_Lamm_ip=1. aTP_Lamm_is=1. aTP_Lamm_iv=1. aTP_Lamm_iy=1. aTP_Lamm_jc=1. aTP_Lamm_jg=1. aTP_Lamm_jk=1. aTP_Lamm_jo=1. aTP_Lamm_jr=1. aTP_Lamm_ju=1. aTP_Lamm_jx=1. aTP_Lamm_ka=1. aTP_Lamm_kd=1. aTP_Lamm_kg=1. aTP_Lamm_kj=1. aTP_Lamm_km=1. aTP_Lamm_ko=1. aTP_Lamm_kq=1. aTP_Lamm_kr=1. aTP_Lamm_kt=1. aTP_Lamm_ku=1. aTP_Lamm_kw=1. aTP_Lamm_kx=1. aTP_Lamm_kz=1. aTP_Lamm_la=1. aTP_Lamm_lc=1. aTP_Lamm_le=1. aTP_Lamm_lg=1. aTP_Lamm_li=1. aTP_Lamm_lk=1. aTP_Lamm_lm=1. aTP_Lamm_lo=1. aTP_Lamm_lq=1. aTP_Lamm_ls=1. aTP_Lamm_lt=1. aTP_Lamm_lu=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_mt=1. aTP_Lamm_mx=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_nw=1. aTP_Lamm_nz=1. aTP_Lamm_oc=1. aTP_Lamm_of=1. aTP_Lamm_oj=1. aTP_Lamm_on=1. aTP_Lamm_or=1. aTP_Lamm_ov=1. aTP_Lamm_oy=1. aTP_Lamm_pb=1. aTP_Lamm_pe=1. aTP_Lamm_ph=1. aTP_Lamm_pk=1. aTP_Lamm_pn=1. aTP_Lamm_po=1. aTP_Lamm_pp=1. aTP_Lamm_pr=1. aTP_Lamm_pt=1. aTP_Lamm_pw=1. aTP_Lamm_pz=1. aTP_Lamm_qc=1. aTP_Lamm_qf=1. aTP_Lamm_qi=1. aTP_Lamm_ql=1. aTP_Lamm_qn=1. aTP_Lamm_qp=1. aTP_Lamm_qr=1. aTP_Lamm_qt=1. aTP_Lamm_qv=1. aTP_Lamm_qx=1. aTP_Lamm_qz=1. aTP_Lamm_rb=1. aTP_Lamm_rd=1. aTP_Lamm_rf=1. aTP_Lamm_rh=1. aTP_Lamm_rj=1. aTP_Lamm_rl=1. aTP_Lamm_rn=1. aTP_Lamm_rp=1. aTP_Lamm_rr=1. aTP_Lamm_rt=1. aTP_Lamm_rx=1. aTP_Lamm_rz=1. aTP_Lamm_sc=1. aTP_Lamm_sf=1. aTP_Lamm_sh=1. aTP_Lamm_sj=1. aTP_Lamm_sm=1. aTP_Lamm_so=1. aTP_Lamm_sp=1. aTP_Lamm_sr=1. aTP_Lamm_ss=1. aTP_Lamm_su=1. aTP_Lamm_sv=1. aTP_Lamm_sx=1. aTP_Lamm_sy=1. aTP_Lamm_ta=1. aTP_Lamm_td=1. aTP_Lamm_tf=1. aTP_Lamm_tg=1. aTP_Lamm_tk=1. aTP_Lamm_tl=1. aTP_Lamm_tm=1. aTP_Lamm_tp=1. aTP_Lamm_um=1. fequal_TPTP_ind=1. scratc1410898400_d_Unj=1. scratc1883910624nd_nIn=1. scratc1928615549d_n_2t=1. scratc2010006012_cond1=1. scratc694798192univof=1. aTP_Lamm_ad=1. aTP_Lamm_al=1. aTP_Lamm_ar=1. aTP_Lamm_bt=1. aTP_Lamm_bu=1. bool=1. scratc101503160_prop1=1. scratc1114835053d_plus=1. scratc1139037928_prop4=1. scratc1278227510_prop1=1. scratc1355871300428_id=1. scratc1454659581_prop1=1. scratc1658494355_times=1. scratc1660624633_prop1=1. scratc1727400100_prop1=1. scratc1734164355pair_p=1. scratc1889821438r1type=1. scratc1928549945d_n_1o=1. scratc1995282878_prop4=1. scratc2043021756_prop1=1. scratc598049210_empty=1. scratc793431923nempty=1. scratc873277488munion=1. scratc1099011566d_1out=1. scratc1128924216d_i1_s=1. scratc1481905182_428_g=1. scratc471834260let_u0=1. scratc796566184air_u0=1. scratc885116596d_24_g=1. scratc941866217d_xout=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. scratc1510036454_d_and=1. aa_fun1431113780TP_ind=1. aa_boo1142376798l_bool=1. aa_TPT1123896796d_bool=1. scratc1473466608bnd_if=1. scratc1800316151d_l_ec=1. aa_fun1212484691d_bool=1. scratc266079479d_e_in=1. aa_TPT1791839040TP_ind=1. aa_TPT985247859d_bool=1. scratc1845030252nd_ind=1. scratc767432939d_pair=1. aa_fun987228051d_bool=1. scratc326104231_amone=1. scratc2133154983second=1. scratc736563688_image=1. scratc779205757_first=1. aa_TPT125613450d_bool=1. scratc1886403386nd_non=1. aa_fun1913827119d_bool=1. scratc158918718d_anec=1. aa_fun1107270209d_bool=1. aa_fun845057962d_bool=1. scratc122744286eplSep=1. scratc1290710460_ecelt=1. scratc1811262655nd_ecp=1. scratc1290120069_ecect=1. scratc1895058491nd_out=1. aa_TPT1781712639TP_ind=1. aa_TPT2142672771l_bool=1. aa_fun1235454963TP_ind=1. cOMBB_658106424TP_ind=1. cOMBS_2003118649l_bool=1. scratc1373939052wissel=1. scratc1505912255ectset=1. scratc1645857522eft1to=1. scratc1706767360etprop=1. scratc1811262659nd_ect=1. scratc231233571ght1to=1. scratc827922001_fixfu=1. scratc993885729fixfu2=1. scratc1275662077nverse=1. scratc1390710378ectelt=1. scratc1612029601unmore=1. scratc2109764200d_invf=1. scratc2113500731d_tofs=1. f1=1. f12=1. f13=1. f20=1. f24=1. scratc647304805all_of=1. scratc1932682679d_n_pl=1. scratc1932945082d_n_ts=1. scratc1932682673d_n_pf=1. scratc1617501634_d_not=1. scratc266079484d_e_is=1. scratc1393785005_d_Sep=1. scratc1905449261l_some=1. scratc1176075382d_esti=1. scratc1789733883ffprop=1. scratc1800972156d_l_or=1. scratc1778807022nd_all=1. scratc1894599283nd_one=1. aTP_Lamm_ah=1. scratc408535795d_outn=1. scratc436719021_rec_G=1. aTP_Lamm_es=1. aTP_Lamm_ew=1. aTP_Lamm_fq=1. aTP_Lamm_fu=1. aTP_Lamm_tw=1. aTP_Lamm_aa=1. aTP_Lamm_am=1. aTP_Lamm_at=1. aTP_Lamm_bd=1. aTP_Lamm_bl=1. aTP_Lamm_by=1. aTP_Lamm_bz=1. aTP_Lamm_dl=1. aTP_Lamm_dw=1. aTP_Lamm_dz=1. aTP_Lamm_ec=1. aTP_Lamm_ef=1. aTP_Lamm_ei=1. aTP_Lamm_el=1. aTP_Lamm_gs=1. aTP_Lamm_gy=1. aTP_Lamm_hc=1. aTP_Lamm_hg=1. aTP_Lamm_hk=1. aTP_Lamm_ho=1. aTP_Lamm_hs=1. aTP_Lamm_hw=1. aTP_Lamm_ia=1. aTP_Lamm_iz=1. aTP_Lamm_jd=1. aTP_Lamm_jh=1. aTP_Lamm_jl=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_mu=1. aTP_Lamm_my=1. aTP_Lamm_og=1. aTP_Lamm_ok=1. aTP_Lamm_oo=1. aTP_Lamm_os=1. aTP_Lamm_pu=1. aTP_Lamm_px=1. aTP_Lamm_qa=1. aTP_Lamm_qd=1. aTP_Lamm_qg=1. aTP_Lamm_qj=1. aTP_Lamm_ru=1. aTP_Lamm_to=1. aTP_Lamm_uk=1. scratc2108517825d_incl=1. aTP_Lamm_ax=1. aTP_Lamm_bh=1. aTP_Lamm_bk=1. aTP_Lamm_bo=1. aTP_Lamm_cd=1. aTP_Lamm_cg=1. aTP_Lamm_cj=1. aTP_Lamm_cm=1. aTP_Lamm_cp=1. aTP_Lamm_cs=1. aTP_Lamm_ie=1. aTP_Lamm_ih=1. aTP_Lamm_ik=1. aTP_Lamm_in=1. aTP_Lamm_iq=1. aTP_Lamm_it=1. aTP_Lamm_iw=1. aTP_Lamm_jp=1. aTP_Lamm_js=1. aTP_Lamm_jv=1. aTP_Lamm_jy=1. aTP_Lamm_kb=1. aTP_Lamm_ke=1. aTP_Lamm_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_nx=1. aTP_Lamm_oa=1. aTP_Lamm_od=1. aTP_Lamm_ow=1. aTP_Lamm_oz=1. aTP_Lamm_pc=1. aTP_Lamm_pf=1. aTP_Lamm_pi=1. aTP_Lamm_pl=1. aTP_Lamm_sa=1. aTP_Lamm_sd=1. aTP_Lamm_ug=1. aTP_Lamm_ui=1. scratc1511337478etprod=1. scratc1695534484ective=1. scratc1812115445nd_eps=1. scratc1845030262nd_inn=1. aTP_Lamm_ab=1. aTP_Lamm_au=1. aTP_Lamm_av=1. aTP_Lamm_aw=1. aTP_Lamm_ay=1. aTP_Lamm_az=1. aTP_Lamm_bb=1. aTP_Lamm_bc=1. aTP_Lamm_bi=1. aTP_Lamm_bj=1. aTP_Lamm_bm=1. aTP_Lamm_ca=1. aTP_Lamm_cz=1. aTP_Lamm_df=1. aTP_Lamm_di=1. aTP_Lamm_dm=1. aTP_Lamm_dp=1. aTP_Lamm_et=1. aTP_Lamm_ex=1. aTP_Lamm_fr=1. aTP_Lamm_fv=1. aTP_Lamm_gi=1. aTP_Lamm_gl=1. aTP_Lamm_gz=1. aTP_Lamm_hd=1. aTP_Lamm_hh=1. aTP_Lamm_hl=1. aTP_Lamm_hp=1. aTP_Lamm_ht=1. aTP_Lamm_hx=1. aTP_Lamm_ib=1. aTP_Lamm_ja=1. aTP_Lamm_je=1. aTP_Lamm_ji=1. aTP_Lamm_jm=1. aTP_Lamm_kh=1. aTP_Lamm_kk=1. aTP_Lamm_lx=1. aTP_Lamm_mb=1. aTP_Lamm_mf=1. aTP_Lamm_mj=1. aTP_Lamm_mn=1. aTP_Lamm_mr=1. aTP_Lamm_mv=1. aTP_Lamm_mz=1. aTP_Lamm_oh=1. aTP_Lamm_ol=1. aTP_Lamm_op=1. aTP_Lamm_ot=1. aTP_Lamm_rv=1. aTP_Lamm_sk=1. aTP_Lamm_tq=1. aTP_Lamm_tr=1. aTP_Lamm_ts=1. aTP_Lamm_tu=1. aTP_Lamm_ua=1. aTP_Lamm_uc=1. aTP_Lamm_ud=1. aTP_Lamm_uh=1. fEx_TPTP_ind=1. scratc1242512655ective=1. scratc1867134587nunion=1. scratc1877748287nd_min=1. scratc1932420273d_n_lb=1. scratc1987927916lbprop=1. aTP_Lamm_ba=1. aTP_Lamm_tt=1. aTP_Lamm_tv=1. aTP_Lamm_tx=1. aTP_Lamm_ty=1. aTP_Lamm_tz=1. aTP_Lamm_ub=1. aTP_Lamm_ue=1. aTP_Lamm_uf=1. aTP_Lamm_uj=1. aTP_Lamm_ul=1. scratc1560764548_pair1=1. scratc1997991514In_rec=1. scratc366461502_UPair=1. scratc651742538econd1=1. scratc712663796first1=1. aTP_Lamm_ae=1. aTP_Lamm_af=1. aTP_Lamm_ag=1. aTP_Lamm_ak=1. aTP_Lamm_an=1. aTP_Lamm_be=1. aTP_Lamm_bf=1. aTP_Lamm_bg=1. aTP_Lamm_bn=1. aTP_Lamm_bq=1. aTP_Lamm_bw=1. aTP_Lamm_bx=1. cOMBC_1555011498d_bool=1. scratc1072262458_prop1=1. scratc1783420129tminus=1. scratc1879253714ective=1. scratc1995282877_prop3=1. scratc2121303790_prop1=1. scratc52772976t_disj=1. scratc562182317_prop1=1. scratc689865335_prop1=1. undefined_bool=1. scratc1932485884d_n_mn=1. scratc796303788air_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. scratc1894861629nd_or3=1. scratc1811262594nd_ec3=1. scratc1332913533d_soft=1. scratc1845423847nd_ite=1. scratc1541804216_indeq=1. scratc1995282875_prop1=1. scratc81155386d_left=1. scratc1092889669eft_f1=1. scratc1646137046sel_wa=1. scratc1646137047sel_wb=1. scratc1698758008d_11_i=1. scratc1092889670eft_f2=1. scratc1477477193_right=1. f5=1. f7=1. f14=1. f16=1. f19=1. f25=1. scratc1995282876_prop2=1. scratc1115201718_inj_h=1. scratc1289621027hangef=1. f3=1. f4=1. f15=1. scratc1031222910_prop1=1. scratc777395578indeq2=1. f6=1.
% 4.81/5.09
% 4.81/5.09 ============================== end of process initial clauses ========
% 4.81/5.09
% 4.81/5.09 ============================== CLAUSES FOR SEARCH ====================
% 4.81/5.09
% 4.81/5.09 ============================== end of clauses for search =============
% 4.81/5.09
% 4.81/5.09 ============================== SEARCH ================================
% 4.81/5.09
% 4.81/5.09 % Starting search at 1.88 seconds.
% 4.81/5.09
% 4.81/5.09 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 95 (0.00 of 2.55 sec).
% 4.81/5.09
% 4.81/5.09 Low Water (keep): wt=39.000, iters=3460
% 4.81/5.09
% 4.81/5.09 Low Water (keep): wt=31.000, iters=3333
% 4.81/5.09
% 4.81/5.09 Low Water (keep): wt=29.000, iters=3340
% 4.81/5.09
% 4.81/5.09 Low Water (keep): wt=28.000, iters=3348
% 4.81/5.09
% 4.81/5.09 Low Water (keep): wt=27.000, iters=3442
% 4.81/5.09
% 4.81/5.09 Low WatCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------